Without a value for x, 4x + x is equal to 5x. If a variable is by itself, you can put a 1 as a coefficient. For example, g = 1g.
1g simply means 1 times g, which is the same as just g.
You cannot add 4x and 1 since they are not like terms. If you have a value for x, THEN you can add them, after substituting the value of x into x.
Runners at a cross-country meet run 2 miles south and then 4 miles west from the starting line. Determine the shortest straight path they must run to get back to the starting line. Brainliest and 20 points
Answer:
√20 miles
Step-by-step explanation:
a² + b² = c²
|
? | 2 miles ↓
|
------------------------------
← 4 miles
2² + 4² = c²
4 + 16 = c²
20 = c²
√20 = c
I hope this helps!
The length of the straight path they must run to get back to the starting line is 4.47 miles.
What is displacement?Displacement [x] of an object is the length of the straight line joining the initial and final position of the object. Mathematically, displacement can be written as-
Δx = x[2] - x[1]
Now -
Δx = vΔt {[v] is velocity}
So we can write -
vΔt = x[2] - x[1]
Given are the runners at a cross-country meet such that they ran 2 miles to south and then 4 miles to west from the starting line.
We can find the straight path they must run to get back to the starting line using the Pythagoras theorem. The base will be equal to distance ran towards south and height will be equal to the distance ran towards west. The length of the hypotenuse will be equal to that of displacement or the straight path they must run to get back to the starting line. Using Pythagoras theorem -
[h]² = [b]² + [p]²
[h]² = (2 x 2) + (4 x 4)
[h]² = 4 + 16
[h]² = 20
[h] = 4.47 miles
Therefore, the length of the straight path they must run to get back to the starting line is 4.47 miles.
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(e) For what value(s) of x is f(x) = 0?
Step-by-step explanation:
For the value of x = 0 then the f(x) will became f(o) = 0
If the two spinners below are spun, what is the probability that the numbers will add to more than 4?
The image of the labeled spinner isn't attached
Answer:
Kindly check explanation
Step-by-step explanation:
Answering hypothetically ;
First create a sample space using the label of the two spinners ;
Each space will be the sum of the possible number that shows up on each turn of the spinner.
From the sample space, count the number of spaces where, the sun is greater than 4, that is the required outcome ; = x
Then the total number of samples in the sole space = total possible outcomes = y
Hence,
P(obtaining a sum greater than 4) = required outcome / Total possible outcomes
= x / y
find the value of x in the following equation:
3.6(2x + 5) = 7.2x + 18
No solution
Infinite solutions
x = 0
x = 2.3
Answer:
infinite solutions
Step-by-step explanation:
both sides are identical
4^-2·7^-2 which expressions are equivalent
Recall the following property of exponents:
\(a^{-n}=\frac{1}{a^n}\)Then:
\(4^{-2}\cdot7^{-2}=\frac{1}{4^2}\cdot\frac{1}{7^2}=\frac{1}{16}\cdot\frac{1}{49}=\frac{1}{784}\)Stephen’s lunch bill is currently at $8.33. Stephen orders a fruit salad for take-out, and wants to leave $2.25 as a tip for his server. He has $10 and a $5 bill. How much change after paying for his lunch, the fruit salad, and the tip?
Answer:
$4.42
Step-by-step explanation:
by combining $8.33 and $2.25 you get a combined total of $10.58 and if you subtract that from $15 you get $4.42 as the amount of money remaining.
The longer leg of a right triangle is nine less than three times the shorter leg. The
hypotenuse is two more than the longer leg. What is the length of the hypotenuse if the
perimeter is 24?
Answer: 71/7
Step-by-step explanation:
I like this problem a lot!
Let the shorter leg length be x:
then the longer leg length is 3x - 9
the hypotenuse length is (3x - 9) + 2 = 3x - 7
Perimeter of Triangle = Sum of all 3 sides of a triangle
24 = x + (3x - 9) + (3x - 7)
24 = 7x - 16
40 = 7x
.: x = 40/7
.: hypotenuse = 3x - 7 = (120/7) - 7 = 71/7
Done!
QUESTION 4
1 POINT
Sonja caught three fish. The weights of the fish were 2 lb 10 oz, 2 lb 8 oz, and 2 lb 11 oz. What was the total weight of the
three fish?
Answer:
Total weight of the three fishes is 7.8125 lb
Step-by-step explanation:
To solve this type of problem we must be aware about lb to ounce conversion. we know that
1 lb = 16 ounce(oz)
So, 2lb 10oz= (2×16+10)oz = 42 oz
Similarly for, 2lb 8oz = (2×16+8)oz = 40oz
and for, 2lb and 11oz = (2×16+11)oz = 43oz
now adding all 3, we can say total weight = (42+40+43)oz = 125oz
To convert oz to lb again we will divide it with 16 so we get
Total weight in lb= \(\frac{125}{16}\) = 7.8125 lb
Therefore total weight of three fishes in ounce is 125oz or 7.8125lbs
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Chase and Sara went to the candy store. Chase bought 5 pieces of bobble gum for of $5.70. Sara bought 2 pieces of fudge and 10 pieces of bubble gum for a total of $3.60. Which system of equations could be used to determine the cost of 1 piece of fudge, f, and 1 piece of bubble gum , g.
Elinor wanted to order an 18 inch hoagie, which cost $7.99. The sandwich shop is out of 18 inch buns. They only have 12 inch buns.
The price of 12 inch bun purchased by Elinor is $5.32.
What is defined as the method of unitary?The unitary method determines the value of a unit and afterwards the value of such a necessary number of units. The value of a unit amount is determined first in the unitary method before calculating the value of many other units. It comes in two varieties.Variation in DirectVariation in the inverseFor the given question;
Elinor wanted to have a bun.
The cost of 18 inch hoagie bun is $7.99.
As there is only 12 inch bun present, the price of 12 inch bun is calculated by unitary method.
The price can be written as;
18 inch -------> $7.99
For 1 inch bun, divide both side by 18.
18/18 inch -------> $7.99/18
1 inch -------> $7.99/18
For 12 inch, multiply each side by 12.
12 inch -------> $7.99×12/18
12 inch -------> $5.32
Thus, the price of 12 inch bun is $5.32.
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A square-based pyramid has a base side length of 10 feet and a height of 21 feet.
What is the volume of this pyramid?
Answer:
700 ft cubed
Step-by-step explanation:
A study was conducted on the educational level of patients with AIDS, it was asume that
with ten years of education will be in group A, between 10 and 20 group B and between 20
group C. After the analysis it was realized that group A had 100 persons while group B and C had 30 persons
(a) If you decide to select based on proportion of 10% from each group how many patien
selected from each group. Show your calculation.
(b) What name can be given to the classified groups?
(c) What method of sampling was employed in the selection process?
1. State and explain the three major data collection techniques.
What is a variable?
What is a Parameter?
A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.
Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.
(a) If you decide to select based on proportion of 10% from each group, the number of patients selected from each group would be: Group A = (10/100) x 100 = 10 patients Group B = (10/100) x 30 = 3 patients Group C = (10/100) x 30 = 3 patients.
(b) The classified groups can be named as follows: Group A = 10 years of education or less Group B = More than 10 years but less than or equal to 20 years of education Group C = More than 20 years of education.
(c) The sampling method employed in the selection process was stratified sampling. Stratified sampling is a type of probability sampling technique where the population is divided into homogeneous subgroups or strata, and the researcher selects a simple random sample from each subgroup or stratum.
The researcher chooses a proportion of participants from each subgroup to represent the population as a whole, which allows for more precise estimates of the population parameters than simple random sampling.
The sample is selected randomly from the stratified sample, which ensures that the sample is representative of the population.
A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.
Variables are used in research to test hypotheses, determine relationships between different phenomena, and make predictions about future outcomes.
A parameter is a numerical summary of a population, which describes a characteristic of the population. It is an unknown constant that can only be estimated from a sample of data.
Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.
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Pls I don't understand
The unit rate of the relationship will be 10/3. The correct option is C.
The given equation is,
y = 10/3x + 8
The general form of an equation of the line is,
y = mx + c
here, the slope will be 10/3
Slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for a given change in the independent variable.
The slope of a line is represented by the ratio of the change in the y-axis (vertical) to the change in the x-axis (horizontal) between any two points on the line. It can also be interpreted as the rate of change of the dependent variable with respect to the independent variable.
A positive slope indicates an upward trend, while a negative slope indicates a downward trend. The slope of a line is often denoted by the letter m.
The unit relationship will be 10/3.
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POSSIBLE POINTS: 20
[Maximum mark: 6]
6.3
Given that y =
2p - 9
(a) Find the exact value of y when x = 10.5, p = 0.381 and q = 0.657.
(b) Write down your answer to part (a)
[2]
(i)
correct to the nearest 1000;
(ii) correct to three significant figures.
[2]
(c) Write your answer to part (b) (ii) in the form a x 106, where 1
[2]
Help help please please
Step-by-step explanation:
=2(20)+2(14)
=2⋅20+2(14)
=40+2(14)
=40+2⋅14
=40+28
=40+28
=68
Answer:
P = 68Step-by-step explanation:
P = 2L + 2W
P = 2(20) + 2(14)
P = 40 + 28
P = 68//
PQR is dilated with the center of dilation at the origin and a scale factor of 0.5 to obtain P'Q'R. The triangles corresponding angles are_____ and their corresponding sides are _____ therefore, the triangles are _____
A. congruent; proportional; similiar
B. congruent; congruent; congruent;
C. Proportional; proportional; similiar
D. Proportional; congruent; congruent
Answer:A
Step-by-step explanation:
Answer: A
Step-by-step explanation: I took the test
Equation A and Equation B are Equivalent Equations.Equation A: 3/5x + 4/5 = 2Equation B: 3x + 4 = 10Explain what was done to both sides of equation A to create equation B?
You have the following equations:
3/5 x + 4/5 = 2
3x + 4 = 10
In order to show that the previous equations are equivalent equations, multiply the first equation by 5, to eliminate the denominators of the fractions:
(3/5 x + 4/5 = 2)(5)
3x + 4 = 10
Hence, it was necessary to multiply by 5 the first equation to obtain the second one
Use the diagram to write an equation that describes the position and the radius of ⊙P.
(x – 4)2 + (y + 2)2 = 16
(x + 4)2 + (y – 2)2 = 16
(x + 4)2 + (y – 2)2 = 4
(x – 4)2 + (y + 2)2 = 4
The equation of circle p with center at (-4, 2) and a radius of 4 units is (x + 4)² + (y - 2)² = 16
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The circle p has center at (-4, 2) with a radius of 4 units, hence, the equation is:
(x - (-4))² + (y - 2)² = 4²
(x + 4)² + (y - 2)² = 16
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please help please...
The required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.
What is the transformation of geometry over the coordinate plane?Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.
here,
Given that a point B (-4, -5) is reflected across the y-axis, the Coordinate of image B' is to be determined.
Since the coordinate is reflected across the y-axis,
The equation of trasformation is given as,
(x , y) ⇒ (-x , y)
So, the image of B,
B' = (-(-4), -5)
B' = (4, -5)
Thus, the required coordinate of B' is B' = (4, -5), across the y-axis after reflection. Option A is correct.
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Expand and simplify 3(x+2) + 4(2x+1)
Answer:
11x+10
Step-by-step explanation:
Distribute the GCF:
3(x+2) = 3x+6
4(2x+1) = 8x+4
(3x+6)+(8x+4)
Add the expressions:
(3x+6)+(8x+4) = 11x+10
Hope that helps
Please answer this correctly without making mistakes
Answer:
3 lb 7 oz
Step-by-step explanation:
Simply substract 6 lb & 3 lb , then substract 13 oz with 6 oz ..... AND YOU ARE DONE
!!! UwU gang !!!
*3ill MoB*
A fancy restaurant put dishes of butter at each table. They divided 4/5 of a kilogram of butter evenly to put 1/5 of a kilogram in each dish. How many butter dishes did they fill?
Answer: 4
This problem requires basic division. If the restaurant divided 4/5 kg of butter with 1/5 kg on each dish, you would need to compute 4/5 divided by 1/5.
4/5 ÷ 1/5
Using the "KFC" method, or Keep, Change, Flip, you would keep the first number (in this case, 4/5), change the division sign, and flip the fraction to 5/1, or 5. We now have this:
4/5 x 5
To compute this equation, you must multiply the numerators of both of the numbers together. In this case, you would compute (4x5)/5, resulting with 20/5, or 4.
You can check this answer by re-multiplying the numbers together. 1/5 kg of butter per dish, multiplied by the total amount of dishes, 4, you would result in the original 4/5 kg of butter.
Hope this helps!
Line ac and df are parallel they are cut by transversal Hj with your partner find the seven unknown angle measures in the diagram explain your reasoning. What do you notice about the angles with vertex B and the angles with vertex E
The measure of the unknown angles in the parallel lines AC and DF with transversal HJ are as follow,
m ∠DEH = 63° , m ∠BEF = 63° ,m ∠CBJ = 63°, m ∠CBE = 117° , m ∠FEH = 117° , m ∠BED = 117° , and m ∠ABJ = 117°.
Two lines AC and DF are parallel to each other in the attached figure
Transversal HJ cut lines AC and DF at point B and E respectively.
Measure of ∠ABE = 63°.
Using the result based on corresponding angles, alternate interior angles , and vertically opposite angles of a parallel lines we get,
Measure of ∠ABE ≅ Measure of ∠DEH ( corresponding angles)
⇒Measure of ∠DEH = 63°
Measure of ∠ABE ≅ Measure of ∠BEF ( alternate interior angles)
⇒Measure of ∠BEF = 63°
Measure of ∠ABE ≅ Measure of ∠CBJ ( vertically opposite angles)
⇒Measure of ∠CBJ = 63°
Using the result of linear pair angles,
Measure of ∠ABE + Measure of ∠CBE = 180°
⇒ Measure of ∠CBE = 180° -63°
⇒ Measure of ∠CBE = 117°
Measure of ∠CBE ≅ Measure of ∠FEH ( corresponding angles)
⇒Measure of ∠FEH = 117°
Measure of ∠CBE ≅ Measure of ∠BED ( alternate interior angles)
⇒Measure of ∠BED = 117°
Measure of ∠CBE ≅ Measure of ∠ABJ ( vertically opposite angles)
⇒Measure of ∠ABJ = 117°
Therefore, the measure of the seven unknown angles formed in the parallel line are given by m ∠DEH = 63° , m ∠BEF = 63° ,m ∠CBJ = 63°, m ∠CBE = 117° , m ∠FEH = 117° , m ∠BED = 117° , and m ∠ABJ = 117°.
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The above question is incomplete, the complete question is:
Lines AC and DF are parallel. They are cut by transversal HJ with your partner find the seven unknown angle measures in the diagram explain your reasoning. What do you notice about the angles with vertex B and the angles with vertex E.
In the attached figure.
what is the solution for the inequality l2x-6l<4
Answer:
x < 5 or x > 1
Step-by-step explanation:
2x - 6 < 4
2x < 4 + 6
2x < 10
x < 10/2
x < 5
2x - 6 > - 4
2x > - 4 + 6
2x > 2
x > 2/2
x > 1
The radius of a circle is 11ft. Find its area in terms of pi
Answer: A≈380.13ft²
Step-by-step explanation:
Can someone answer this quickly please
the answer is 37.2 ok
you can ask more if u want
Answer:
156
Step-by-step explanation:
pemdas
p- parentheses
e- exponets
m- multiplication
d-division
a - addition
s- subtraction
6x3+6x4+6x5+6x8+2[3x4+1/2(3x4)]
6x3+6x4+6x5+6x8+2[12+1/2(12)]
18+24+30+48+2[12+6]
18+24+30+48+2[18]
42+30+48+36
72+48+36
120+36
156
hopes this helps please mark brainliest
using the properties of combinations of continuous functions, determine the interval(s) over which the function f (x )equals fraction numerator x squared minus 5 x minus 6 over denominator x minus 3 end fraction is continuous.
The interval over which the function is continuous equation is (-∞, 3) U (3, +∞).
The function f(x) = (x2 - 5x - 6)/(x - 3) is continuous over all real numbers except x = 3, since the denominator is equal to 0 at x = 3.
We can use the properties of combinations of continuous functions to determine the interval(s) over which the function f(x) is continuous equation.
First, we need to consider the function f(x) in two parts. The first part is f(x) when x ≠ 3, and the second part is when x = 3.
For the first part, when x ≠ 3, the function f(x) is continuous over all real numbers, since both the numerator and denominator are continuous over all real numbers.
For the second part, when x = 3, the function f(x) is discontinuous, since the denominator is equal to 0.
Therefore, the interval over which the function f(x) is continuous is (-∞, 3) U (3, +∞).
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I would appreciate some help with this , NO LINKS also plz no guessing ,thanks
Step-by-step explanation:
Roots : x = -1 and x = 4
g(x) = ( x+1)(x-4)Roots x = -1 & x = -4
k(x) = (x+1)(x+4)h(x) = (-3-3x) (3x+12)Neither
m(x) = (3-3x)(3x-12) f(x) = (x-1)(x-4)f(x) = (-1-x)(2x-8)In a flower garden of rose and sunflower, 40% of flowers are rose. if there are 120 sunflower in the garden, total of how many flowers are there in the garden?
Answer:
200
Step-by-step explanation:
If 40% are roses than 60% must be sunflowers (40% + 60% = 100%)
We are trying to find 60% of some number is 120.
Let n = the total number of flowers
.6n = 120 Divide both sides by .6
n = 200
a) -7 + 8 = 1
b) 13 + -9 = 4
c) 23 + -9 = 14
d) -17 + 18 = 1
e) 14 + -26 = -12
f) -8 - 7 = -15
g) 13 - (+9) = 4
h) 23 – (9) = 20
i) 18 - -7 = -25
j) 26 - -14 = -40
are these correct?
Answer:
a) 1
b) 4
c) 14
d) 1
e) 12
f) 15
h) 20
i) 25
j) 40
Step-by-step explanation:
Some mistakes have been made.
Correct answers so far:
a, b, c, d, e, f are correct
h, maybe
Corrections:
g)
13 - ( + 9) can be rewritten as 13 - 9, which is 4
h) I assume the 9 is supposed to be a \(\sqrt{ 9}\) ? If so, then the answer is correct
i) 18 - -7 can be rewritten as 18 + 7 = 25. The two negatives turn into a positive.
j)26 - -14 = 40. The two negatives turn into a positive.