3 times x plus 4 is greater than or equal to 4 times the sum of x and 1.
Answers
Answer:
x=0Step-by-step explanation:
let us convert the expression to mathematical relation, we have
3x+4>=4(x+1)
let us solve for the value of x we have
3x+4>=4(x+1)
3x+4>=4x+4
collecting like terms
4x-3x+4-4>=0
x+0>=0
x>=0
The value of x = 0
Related Questions
Jason needs to mow his yard. The yard is 12.2 ft. by 22.4 ft. How many
square feet of yard will Jason need to mow? Your answer should be a
number only. Do not round.
Answers
Jason will need to mow an area of 12.2 ft. × 22.4 ft. = 273.28 square feet of yard.
Answer: 273.28 sq ft
Step-by-step explanation:
12.2x24.4=273.28 sq ft.
A farmer who only sells produce to local residents in his town wishes to expand to a neighboring city. The farmer calls everyone in the phone book with a last name starting with "S" in the neighboring city and asks them if they would be interested in buying the produce. 242 told the farmer that they would be interested, 576 said they would not be interested and 138 refused to answer. Which statement is true?
The survey sample is residents of the neighboring city with a last name starting with ”S” and whose phone number is listed in the phone book.
The population of the survey is the 242 that said they would be interested.
The population of the survey is all residents of the neighboring city whose phone number is listed.
The survey sample includes current customers.
Answers
Answer:
The survey sample is residents of the neighboring city with a last name starting with ”S” and whose phone number is listed in the phone book.
Step-by-step explanation:
that one makes the most sense
Please Help!
Solve:
h=-16x^2+48+6
Use quadratic and vertex formula.
Answers
The value of x in the quadratic equation is -0.12 or 3.12.
What is the value of x in the quadratic equation?The value of x in the quadratic equation is calculated as follows;
h(x) = -16x² + 48x + 6
Using formula method, the value of x is calculated as;
x = (-b ± √(b² - 4ac)) / 2a
Where;
a, b, and c are the coefficients of the quadratic equationa = -16, b = 48, c = 6
x = (-48 ± √(48² - 4(-16)(6))) / 2(-16)
x = (-48 ± √(2304 + 384)) / (-32)
x = (-48 ± √(2688)) / (-32)
x = (-48 ± 51.85) / (-32)
x = (-48 + 51.85)/(-32) = - 0.12
or
x = (-48 - 51.85)/(-32) = 3.12
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Hurry - Please Help = 2 questions.
Answers
Answer:
3. f(3) = 16
4. h(3) = 4
Step-by-step explanation:
3.
f(x) = x² + 7
f(3) = 3² + 7
f(3) = 16
4.
h(x) = 12/x
h(3) = 12/3
h(3) = 4
please help i m clusless
Answers
Answer:
-25+? = -5
cross -5 over and it the negative sign would turn to postive sign
-25+(5)=?
Therefore answer = 20
To confirm this answer
-25+20= -5
Explanation:
I know it’s late but hope this helps! ^^
How do you look for a correlation using data points?
Answers
The Correl function is the easiest way to for calculating correlation between two variables.
What is correlation ?
correlation can be defined as the measure of relation between two variables.
In case you want to measure of degree the power of a dating between two variables, you can accomplish that through using a complicated or on line calculator. you could additionally placed your mathematical abilities to apply and calculate it through hand. while calculating a correlation coefficient via hand.
To find correlation using data points are as follows :
Determine your data sets.
Calculate the standardized value for your x variables.
Calculate the standardized value for your y variables.
Multiply and find the sum.
Divide the sum and determine the correlation coefficient.
Hence, The Correl function is the easiest way to for calculating correlation between two variables.
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Triangles P Q R and S T U are shown. Angles P R Q and T S U are right angles. The length of P Q is 20, the length of Q R is 16, and the length of P R is 12. The length of S T is 30, the length of T U is 34, and the length of S U is 16.
Using the side lengths of △PQR and △STU, which angle has a sine ratio of Four-fifths?
∠P
∠Q
∠T
∠U
Answers
Answer:
\(\angle P\)
Step-by-step explanation:
Given
\(\triangle PRQ = \triangle TSU = 90^o\)
\(PQ = 20\) \(QR = 16\) \(PR = 12\)
\(ST = 30\) \(TU = 34\) \(SU = 16\)
See attachment
Required
Which sine of angle is equivalent to \(\frac{4}{5}\)
Considering \(\triangle PQR\)
We have:
\(\sin(P) = \frac{QR}{PQ}\) --- i.e. opposite/hypotenuse
So, we have:
\(\sin(P) = \frac{16}{20}\)
Divide by 4
\(\sin(P) = \frac{4}{5}\)
Hence:
\(\angle P\) is correct
Answer:
A or <P
Step-by-step explanation:
on edge 2021
Which of these is a ratio table?
Answers
Answer:
Step-by-step explanation:
one or four, if u can only have one try than four
The cross-section of this prism is a square with side length 4 m. What is the surface area of the prism?
(photo attached below.)
Answers
The final answer for the surface area of the prism is 32 m^2 + 16h m^2.
To find the surface area of the prism, we need to calculate the area of each face and sum them up.
The prism has two identical square faces and four rectangular faces. The square face has a side length of 4 m. The area of one square face is given by:
Area of square face = side length^2 = 4^2 = 16 m^2
Since there are two square faces, the total area of the square faces is:
Total area of square faces = \(2 * 16 = 32 m^2\)
The rectangular faces have a length equal to the side length of the square face (4 m) and a width equal to the height of the prism. Let's assume the height of the prism is h. The area of one rectangular face is given by:
Area of rectangular face = length * width = \(4 * h = 4h m^2\)
Since there are four rectangular faces, the total area of the rectangular faces is:
Total area of rectangular faces = \(4 * 4h = 16h m^2\)
Therefore, the surface area of the prism is the sum of the areas of the square and rectangular faces:
Surface area of prism = Total area of square faces + Total area of rectangular faces
= \(32 m^2 + 16h m^2\)
= \(32 m^2 + 16h m^2\)
The answer for the surface area of the prism is 32 m^2 + 16h m^2.
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(0.25)^x+1=16
pls help me
Answers
(0.25)^x=15
Now introduce log
xlog(0.25)=log(15)
Finally, divide log(15) by log(0.25)
X= -1.95
Unrounded answer is -1.9534452978
Which rule can be used to describe the growth of the y-values of the function
add 12
multiply by 12
add 1, then 12, then 144
multiply by 1, then by 12, then by 144
Answers
The entries in Table I are the probabilities that a random variable having the standard normal distribution will take on a value between 0 andz. They are given by the area of the gray region under the curve in the figure. TABLET NORMAL-CURVE AREAS 2 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.1 0.2 0.3 0.4 0.5 0.0000 0.0398 0.0793 0.1179 0.1554 0.1915 0.0080 0.0478 0.0871 0.1255 0.1628 0.1985 0.0120 0.0517 0.0910 0.1293 0.1664 0.2019 0.2357 0.2673 0.2967 0.3238 0.3485 0.0160 0.0557 0.0948 0.1331 0.1700 0.2054 0.2389 0.2704 0.2995 0.3264 0.3508 0.0199 0.0596 0.0987 0.1368 0.1736 0.2088 0.0239 0.0636 0.1026 0.1406 0.1772 0.2123 0.0279 0.0675 0.1064 0.1443 0.1808 0.2157 0.0319 0.0714 0.1103 0.1480 0.1844 0.2190 0.0359 0.0753 0.1141 0.1517 0.1879 0.2224 0.2549 0.2852 0.3133 0.3389 0.3621 0.2257 0.0040 0.0438 0.0832 0.1217 0.1591 0.1950 0.2291 0.2611 0.2910 0.3186 0.3438 0.3665 0.3869 0.4049 0.4207 0.4345 0.4463 0.4564 0.4648 0.4719 0.4778 0.6 0.7 0.8 0.9 1.0 0.2580 0.2881 0.3159 0.3413 0.2324 0.2642 0.2939 0.3212 0.3461 0.2422 0.2734 0.3023 0.3289 0.3531 0.2454 0.2764 0.3051 0.3315 0.3554 0.2517 0.2823 0.3106 0.3365 0.3599 0.2486 0.2794 0.3078 0.3340 0.3577 0.3790 0.3980 0.4147 0.4292 0.4418 1.1 1.2 1.3 1.4 1.5 0.3749 0.3944 0.4113 0.4265 0.4394 0.3770 0.3962 0.4131 0.4279 0.4406 0.3810 0.3997 0.4162 0.4306 0.4429 0.3643 0.3849 0.4032 0.4192 0.4332 0.4452 0.4554 0.4641 0.4713 0.4772 0.3686 0.3888 0.4066 0.4222 0.4357 0.4474 0.4573 0.4656 0.4725 0.4783 0.3708 0.3907 0.4082 0.4236 0.4370 0.4484 0.4582 0.4664 0.4732 0.4788 0.3729 0.3925 0.4099 0.4251 0.4382 0.4495 0.4591 0.4671 0.4738 0.4793 0.3830 0.4015 0.4177 0.4319 0.4441 0.4545 0.4633 0.4706 0.4767 0.4817 1.6 1.7 1.8 1.9 2.0 0.450S 0.4599 0.4678 0.4744 0.4798 0.4515 0.4608 0.4685 0.4750 0.4803 0.4525 0.4616 0.4692 0.4756 0.4808 0.4535 0.4625 0.4699 0.4761 0.4812 2.1 2.2 2.3 2.4 2.5 0.4826 0.4864 0.4896 0.4920 0.4940 0.4830 0.4868 0.4898 0.4922 0.4941 0.4834 0.4871 0.4901 0.4925 0.4943 0.4850 0.4884 0.4911 0.4932 0.4949 0.4854 0.4887 0.4913 0.4934 0.4951 0.4857 0.4890 0.4916 0.4936 0.4952 0.4821 0.4861 0.4893 0.4918 0.4938 0.4953 0.4965 0.4974 0.4981 0.4987 0.4838 0.4875 0.4904 0.4927 0.4945 0.4959 0.4969 0.4977 0.4984 0.4988 0.4842 0.4846 0.4878 0.4881 0.4906 0.4909 0.4929 0.4931 0.4946 0.4948 0.4960 0.4961 0.4970 0.4971 0.4978 0.4979 0.4984 0.4985 0.4989 0.4989 2.6 2.7 2.8 2.9 3.0 0.4955 0.4966 0.4975 0.4982 0.4987 0.4956 0.4967 0.4976 0.4982 0.4987 0.4957 0.4968 0.4977 0.4983 0.4988 0.4962 0.4972 0.4979 0.4985 0.4989 0.4963 0.4973 0.4980 0.4986 0.4990 0.4964 0.4974 0.4981 0.4986 0.4990 Also, for 3 - 4.0, 5.0 and 6.0, the areas are 0.49997, 0.4999997, and 0.499999999. ^ The entries in Table II are values for which the area to their right under the 1 distribution with given degrees of freedom (the gray area in the figure) is equal toa. TABLE II VALUE OF d.f. Fo.050 os 0.005 d.. 63.657 9.925 1 2 3 4 6.314 2.920 2.353 2.132 2.015 12.706 4.303 3.182 2.776 2.571 0.010 31.821 6.965 4.541 3.747 3.365 1 2 3 4 5.841 4.604 4.032 S S 6 7 6 7 8 1.943 1.895 1.860 1.833 1.812 2.447 2.365 2.306 2.262 2.228 3.143 2.998 2.896 2.821 2.764 3.707 3.499 3.355 3.250 3.169 8 9 9 10 10 11 12 1.796 1.782 1.771 1.761 1.753 13 14 15 2.201 2.179 2.160 2.145 2.131 2.718 2.681 2.650 2.624 2.602 3.106 3.055 3.012 2.977 2.947 11 12 13 15 16 16 17 18 19 20 1.746 1.740 1.734 1.729 1.725 2.120 2.110 2.101 2.093 2.086 2.583 2.567 2.552 2.921 2.898 2.878 2.861 2.845 17 18 19 2.539 2.528 20 21 22 23 24 25 1.721 1.717 1.714 1.711 1.708 2.080 2.074 2.069 2.064 2.060 2.518 2.508 2.500 2.831 2.819 2.807 2.797 2.787 21 22 23 24 25 2.492 2.485 2.056 2.052 26 27 28 29 Inf. 1.706 1.703 1.701 1.699 1.645 2.479 2.473 2.467 2.462 2.326 2.779 2.771 2.763 2.048 26 27 28 29 Inf. 2.045 2.756 2.576 1.960 Question 2 (20 marks) A tutorial school has been running IELTS mock examination for many years. Below is the summary presented by the tutorial school related to the IELTS mock examination in one of the many online classes selected randomly in year 2022. IELTS score in mock examination Number of students <4 0 5 2 6 7 5 15 8 10 3 9 A report presented by this tutorial school 5 years ago indi that the population mean score of IELTS mock examination was 7.05 points and the population proportion of students got 7 points or above was 0.67. (a) Construct a 95% confidence interval estimate of population mean score a student get in the IELTS mock examination in 2022. (b) Test, at 1% level of significance, if the population proportion of students get 7 points or above in 2022 is higher than that in year 2017. (The report must include the (i) null hypothesis and alternative hypothesis, (ii) rejection region(s), (iii) calculation of test statistics, and (iv) conclusion.) (c) If the confidence interval estimate in part (a) is constructed at 99% instead of 95%, would the interval be (1) wider, (II) narrower, or (III) no change in width? (State your answer, no explanation is needed in part (C).)
Answers
From the table, the area between 0 and 2 under the standard normal distribution curve is 0.4772. Therefore, the probability that a random variable having the standard normal distribution will take on a value between 0 and 2 is 0.4772.
A message is coded into the binary symbols 0 and 1 and the message is sent over a communication channel.
The probability a 0 is sent is 0.4 and the probability a 1 is sent is 0.6. The channel, however, has a random error that
changes a 1 to a 0 with probability 0.1 and changes a 0 to a 1 with probability 0.2. Show your work below.
a. What is the probability a 1 is received?
b. If a 1 is received, what is the probability a 0 was sent?
Answers
Answer:
A: the probability that a 1 is received is 0.56.
B: the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).
Step-by-step explanation:
To solve this problem, we can use conditional probabilities and the concept of Bayes' theorem.
a. To find the probability that a 1 is received, we need to consider the two possibilities: either a 1 was sent and remained unchanged, or a 0 was sent and got flipped to a 1 by the random error.
Let's denote:
P(1 sent) = 0.6 (probability a 1 is sent)
P(0→1) = 0.2 (probability a 0 is flipped to 1)
P(1 received) = ?
P(1 received) = P(1 sent and unchanged) + P(0 sent and flipped to 1)
= P(1 sent) * (1 - P(0→1)) + P(0 sent) * P(0→1)
= 0.6 * (1 - 0.2) + 0.4 * 0.2
= 0.6 * 0.8 + 0.4 * 0.2
= 0.48 + 0.08
= 0.56
Therefore, the probability that a 1 is received is 0.56.
b. If a 1 is received, we want to find the probability that a 0 was sent. We can use Bayes' theorem to calculate this.
Let's denote:
P(0 sent) = ?
P(1 received) = 0.56
We know that P(0 sent) + P(1 sent) = 1 (since either a 0 or a 1 is sent).
Using Bayes' theorem:
P(0 sent | 1 received) = (P(1 received | 0 sent) * P(0 sent)) / P(1 received)
P(1 received | 0 sent) = P(0 sent and flipped to 1) = 0.4 * 0.2 = 0.08
P(0 sent | 1 received) = (0.08 * P(0 sent)) / 0.56
Since P(0 sent) + P(1 sent) = 1, we can substitute 1 - P(0 sent) for P(1 sent):
P(0 sent | 1 received) = (0.08 * (1 - P(0 sent))) / 0.56
Simplifying:
P(0 sent | 1 received) = 0.08 * (1 - P(0 sent)) / 0.56
= 0.08 * (1 - P(0 sent)) * (1 / 0.56)
= 0.08 * (1 - P(0 sent)) * (25/14)
= (2/25) * (1 - P(0 sent))
Therefore, the probability that a 0 was sent given that a 1 is received is (2/25) * (1 - P(0 sent)).
A message is coded into the binary symbols 0 and 1 and the message is sent over a communication channel. The probability a 0 is sent is 0.4 and the probability a 1 is sent is 0.6. The channel, however, has a random error that changes a 1 to a 0 with probability 0.2 and changes a 0 to a 1 with probability 0.1. (a) What is the probability a 0 is received? (b) If a 1 is received, what is the probability a 0 was sent?
Triangle AABC is rotated -120° about point
P to create AA'B'C'.
A'
105°
C'
B'
C
What is the measure of LA'?
40°
A
B
Answers
The measure of the angle ∠A obtained from the congruency between the triangles ΔABC and ΔA'B'C', (formed by the rotation of ΔABC, which is a rigid transformation) is 40°
What is a rotation transformation?A rotation transformation is a rigid transformation of a pre-image by turning the pre-image about a fixed point or axis.
A rotation transformation is a rigid transformation and therefore, the distances between corresponding pairs of points is maintained such that the lengths of the corresponding sides of the pre-image and the image are congruent, therefore, the triangle ΔABC and the triangle ΔA'B'C' are congruent.
The angle ∠A in triangle ΔABC = 40°
The angle ∠C' in triangle ΔA'B'C' = 105°
Angle ∠A ≅ Angle ∠A' by Corresponding Angles of Congruent Triangles are Congruent, CACTC.
Therefore, ∠A = ∠A' (definition of congruency)
∠A' = ∠A = 40° (symmetric property)
The measure of angle ∠A = 40°
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The surface area of this cylinder is 20,761.68 square yards. What is the height?
Use ≈ 3.14 and round your answer to the nearest hundredth.
29 yd
h=
Submit
h
yards
Answers
The height of the cylinder whose surface area is given would be = 85 yards.
How to calculate the height of a cylinder?The cylinder is a type of shape that has three sides which consists of two opposite circles that are joined by a curved surface.
To calculate the height of a cylinder, the formula that should be used is given as follows:
Surface area of cylinder = 2πrh + 2πr²
radius = 29 yards
surface area = 20,761.68 square yards
height = ?
That is ;
20,761.68 = 2×3.14× 29×h + 2×3.14× 29×29
20,761.68 =182.12h + 5281.48
182.12h = 20,761.68-5281.48
182.12h = 15480.2
h = 15480.2/182.12
= 85 yards
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What is the area of the quadrilateral and what is the perimeter
Answers
Answer:
Area of Trapezoid = (b1 + b2)h
2
Area = (9 in + 17 in) (3 in = 1/4 ft)
2
A = (26 in)(3 in)/2
A = 78 in2/2
A = 39 in2
Perimeter = bi + b2 + 2l
P = 9in + 17 in + 2(5 in)
P = 26 in + 10 in
P = 36 inches
for factoring zero how do i solve? 3x^2-12x=0
Answers
what is 1-1 somebody tell me what the answer is.
Answers
Haha yeah hard question lol its "0"
;))
Answer:
0
Step-by-step explanation:
I'm no mathematician, but if I take 1 of my fingers, and then put it down, I have 0 fingers.
Give one pair of vertical angles and one pair of supplementary angles shown in the figure below.
Answers
Answer:
see explanation
Step-by-step explanation:
vertical angles are angles on the opposite side at a vertex of 2 lines.
1 and 6 , 2 and 5 , 3 and 8 , 4 and 7 are all vertical angles
supplementary angles sum to 180°
adjacent angles on a straight line sum to 180°
1 and 2 , 3 and 4 , 5 and 6 , 7 and 8 are examples of supplementary angles.
A maintenance firm has gathered the following information regarding the failure mechanisms for air conditioningsystems:
Yes No
Evidence of electrical failure Yes 55 17
Electrical failure No 32 3
The units without evidence of gas leaks or electrical failure showed other types of failure. If this is a representative sample of AC failure, find the probability.
a. That failure involves a gas leak
b. That there is evidence of electrical failure given that there was a gas leak
c. That there is evidence of a gas leak given that there is evidence of electrical failure
Answers
Answer:
A) 0.8131 ≈ 0.81
B) 0.6322 ≈ 0.63
C) 0.7639 ≈ 0.77
Step-by-step explanation:
A)
Total number of units
= 55 + 32 + 17 + 3
= 107
hence the probability that the failure involves a gas leak
= ( 55 + 32 ) / 107
= 0.8131
B) probability that there is evidence of electrical failure given tat there is a gas leak
P ( A / B ) = \(\frac{P(A n B)}{P(B)}\)
P( A∩B ) = 55/107 = 0.5140
P ( B ) = ( 55 + 32 ) / 107 = 0.8131
hence P ( A / B ) = 0.5140 / 0.8131 = 0.6322
A = failure due to electrical
B = failure due to gas leak
C) Probability of a gas leak given that there is evidence of electrical failure
P ( B / A ) = \(\frac{P(BnA)}{P(A)}\)
P ( B ∩ A ) = 0.5140
P( A ) = ( 55 + 17 ) / 107 = 0.6729
hence P ( B / A ) = 0.5140 / 0.6729 = 0.7639
The graph of - 8x+2y = 8 passes through two points, P(p, 2) and
Q (-4, q). What is the value of pq?
Answers
Answer:
6
Step-by-step explanation:
All the steps are in the photo I attached
QRS = _____
By _____
Answers
Answer:
the one you have circled is correct
Step-by-step explanation:
Answer:
The fourth answer selection is the correct
Step-by-step explanation:
Yes, the two triangles have to sides and the angle in between congruent, so by the SAS theorem, they are congruent.
Therefore select the fourth option that gives the order of vertices of the second triangle similar to the order of vertices in the first one :
Triangle YXW by SAS.
Notice that side YX is congruent to side QR,
and side RS is congruent to side SW.
[5y]^4 when y= 2 Evaluate the expression
Answers
Answer:
10000
Step-by-step explanation:
Well substitute it
(5*2)^4
now follow order of operations (Parenthesis, exponents, multipication-division left to right, etc.)
5*2=10
10^4=10000
so the answer would be
10000 if y is 2
Answer:
10,000
Step-by-step explanation:
First, let's do the brackets (because of PEMDAS). We know that y = 2, so we multiply 2 and 5 to get 10. Now, we have to solve 10^4. To get 10^4, multiply 10 by itself four times. That gets us 10,000.
Which are vertical angles?
O AFE and BFD
O BFC and DFE
O AFE and CFD
O BFC and EFA
Answers
Answer:
✔️AFE AND BFD
Step-by-step explanation:
vertical angles are angles are formed from a pair of intersecting lines. The vertical angles are angle AFE and BFD
What are vertical angles?These angles are formed from a pair of intersecting lines, The meet at a point X in a figure.
from the given figure, we need to find which of the angles are vertical angles. Since vertical angles are equal, hence the measure of this angles must be equal.
From the diagram, the vertical angles are angle AFE and BFD
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6/10 + 5/100
is it
65/100 or 65/110 or 56/100 or 56/110
Answers
Answer:
65/100 that is the answer to this question
Drag the terms to the correct locations in the expression. Not all terms will be used.
What is the complete factorization of 2x2 − 11x − 21?
Answers
We may state that (2x+3) is the full factorization of the expression (x-7).
What is factorization?Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number.
Factorization is the division of a number into its factors or divisors.
The factorization of the integer 12, for instance, might appear as 3 times 4.
So, for the predicament.
The formula is 2x² - 11x - 21.
The expression's full factorization is as follows:
2x² - 11x - 21 = 0
2x² - 14x + 3x - 21 = 0
2x(x - 7) + 3(x - 7) = 0
(2x + 3)(x - 7) = 0
The formula for x's value is:
2x + 3 = 0 or x - 7 = 0
x = -3/2 or x = 7
The expression's zeroes are then -3/2 and 7.
Hence, we may state that (2x+3) is the full factorization of the expression (x-7).
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Complete question:
Drag the terms to the correct locations in the expression. Not all terms will be used.
What is the complete factorization of 2x2 − 11x − 21?
x
2x
3x
1
3
7
they can be used more than once.
place them here
(__+__)(__-__)
In ΔKLM, the measure of ∠M=90°, LK = 5, KM = 3, and ML = 4. What ratio represents the cosine of ∠K?
Answers
================================================
Explanation:
M = 90 and the side opposite this is LK = 5 since "LK" doesn't have "M" anywhere in the letter sequence. The side LK is the hypotenuse. The hypotenuse is always the longest side and always opposite the right angle.
The reference angle is angle K. Opposite this angle is ML = 4. Note how ML has no mention of K. The adjacent side to angle K is KM = 3 as it's the only thing left and we have a mention of K now.
The cosine ratio is therefore...
cos(angle) = adjacent/hypotenuse
cos(K) = KM/LK
cos(K) = 3/5
Vanessa runs 4 miles each week. Use the number line below to solve and represent the number of weeks it will take her to run 96 miles.
Answers
The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks
How to calculate the number of weeks used by Vanessa for race?The amount of distance that Vanessa covers for a week = 4 miles
The amount of weeks it will take for her to cover 96 moles would be = ?
That is;
1 week = 4 miles
X weeks = 96 miles
Make X the subject of formula;
X = 96× 1/4
= 24 weeks
Therefore Vanessa will be able to cover 96 miles in only 24 weeks.
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Graph the equation .
y = 4x + 1
Answers
Answer:
-Picture attached-
Step-by-step explanation:
The gradient would be 4, with a rising graph and the y-intercept would be 1. I attached a picture of the graph, hope it helps.
In Language Arts the class was assigned to write a team paper. Each team was to write 5 1/2 pages for the combined paper. When all teams put their paper together, there were a total of 44 pages. How many teams had worked on this paper?
Answers
Answer:
8
Step-by-step explanation:
44/5.5=8