Answer:
goes from(6,0),(10,1),(14,2) in +ve
-x+2y=-3 x-4y-z=42x -y+3z=0solve for x
The given system of equations is expressed as
- x + 2y = - 3
x - 4y - z = 4
2x - y + 3z = 0
From the first equation,
x = 2y + 3
We would substitute x = 2y + 3 into the second and third equation.
Substituting into the second equation, it becomes
2y + 3 - 4y - z = 4
2y - 4y - z = 4 - 3
- 2y - z = 1 fourth equation
Substituting into the third equation, it becomes
2(2y + 3) - y + 3z = 0
4y + 6 - y + 3z = 0
4y - y + 3z = 0 - 6
3y + 3z = - 6 fifth equation
From the fourth equation,
z = - 2y - 1
Substituting z = - 2y - 1 into the fifth equation, it becomes
3y + 3(- 2y - 1) = - 6
3y - 6y - 3 = - 6
3y - 6y = - 6 + 3
- 3y = - 3
y = - 3/ - 3
y = 1
Substituting y = 1 into x = 2y + 3, it becomes
x = 2 * 1 + 3
x = 5
Substituting y = 1 into z = - 2y - 1,
z = - 2 * 1 - 1
z = - 2 - 1
z = - 3
Therefore,
x = 5, y = 1, z = - 3
Solve for x. 7.5x/11=4.8/5
The value of the variable is 1. 40
How to determine the valuewe need to know that algebraic expressions are described as expressions that are made up of term, variables, constants, factors and coefficients.
these algebraic expressions are also made up of arithmetic operations.
These arithmetic operations are listed as;
BracketDivisionAdditionSubtractionMultiplicationParenthesesFrom the information given, we have that;
7.5x/11=4.8/5
cross multiply the values, we get;
7.5x(5) = 4.8(11)
multiply the values
37. 5x = 52. 8
Divide both sides by the coefficient of x, we get;
x = 1. 40
Learn about algebraic expressions at: https://brainly.com/question/4541471
#SPJ1
Bean Seed Growth Temp 25 20 15 10 Days S 7 9 If the trend continues, how many days will it take at 10 degrees?
The needed number of days at 10 degrees is given as follows:
11 days.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.For this problem, we have that when x decreases by 5, y increases by 2, hence the slope m is given as follows:
m = -2/5
m = -0.4.
Hence the time needed for a temperature of 10 degrees is given as follows:
9 + 2 = 11 days.
More can be learned about linear functions at https://brainly.com/question/15602982
#SPJ1
Thanks for the help on the first question, Can someone help me on these last question. Thanks a lot! Please explain not to bad but also not to complicated! Thanks again!
40 total points. 10 points each correct answer!
The requried simplified value of the given expression at a =5, b=3, and c = 1 is 5. Option C is correct.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
here,
the expression 5a-7b+ c we have a =5, b=3, and c = 1,
Substitute the given value in the above expression,
= 5(5) - 7(3) + 1
= 25 - 21 + 1
= 5
Thus. the requried simplified value of the given expression at a =5, b=3, and c = 1 is 5. Option C is correct.
Learn more about models here:
https://brainly.com/question/29232364
#SPJ1
Which two points are on the graph of y=-x+ 3?
(-1,-2), (1,4)
(1, 2), (0, -3)
(0, 3), (4, -1)
(4, -1), (1, 3)
Answer:
(0, 3), (4, -1)
(1, 2)
Step-by-step explanation:
If the answers that have been provided to you are only in pairs then it'd just be the first answer I wrote. The points (1, 2) also are on the graph of y=x+3 but if the answers aren't individual than I'd just stick with the (0, 3), (4, -1). Does that make sense? I used a graphing calculator online called Desmos, it's very good. I highly recommend it for problems like these.
I hope this helps:) Select as brainliest because I actually put work into this and tried.
60% of x is 48.
Part A- write an equation to show the relationship of 60, x, and 48.
Part B- Solve for x.
Answer:
Part A: 0.6x = 48
Part B: x = 80
Step-by-step explanation:
-----PART ONE:
60% in decimal notation is 0.6
By taking a percentage of a number, you are multiplying that number by that percentage in decimal notation
60 percent of x can therefore be rewritten as 0.60x, or 0.6x
0.6x = 48
-----PART TWO:
0.6x = 48
Divide both sides by 0.6 to isolate x
x = 80
What is the height h for the base that is 5/4 units long?
The height of the triangle is 3/5.
What is a right-angled triangle?A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.
Given:
A right-angled triangle.
Let the values of the hypotenuse in parts be m and n.
So,
(1)² = (5/4)m
m = 4/5
And n = 9/16 x 4/5
n = 9/20
So, the height of the triangle is,
h² = 9/20 x 4/5
h² = 9/25
h = 3/5
Therefore, h = 3/5.
To learn more about the right-angled triangle;
brainly.com/question/3772264
#SPJ1
9. Given: TE = GH, EF = HF,
Proof
Fis the midpoint of GI
Prove: AEFI > AHFG
G
10. G
Proof
PE
E
ZE
H
Souljem
Step-by-step explanation:
souljem yes yes yes
Rodrigo placed 3 large stickers on each of 5 pages in his sticker book. Then he placed 6 small stickers on each of the 5 pages the expression 5×3+5×6 shows the total number of stickers he used. Use the distributive property to write this expression anther way
Answer:
5(x+x)=2(3)+3
Step-by-step explanation:
The expression in other way can be written as 5* (3 larger + 6 small stickers)
What is expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/Variable, Math Operator, Number/Variable)
for example:
An example of a mathematical expression with a variable is 2x + 3. All variables must have a coefficient, a number that is multiplied by the variable. In the expression 2x + 3, the coefficient of x is the number 2, and it means 2 times x plus 3
Given:
Rodrigo placed 3 large stickers on each of 5 pages in his sticker book. Then he placed 6 small stickers on each of the 5 pages,
5 * 3 + 5 * 6
Using distributive property,
a* b + a* c = a* ( b + c)
So,
5* ( 3+ 6)
= 5* 9
=45
also, the another way is
As the pages in both case is 5.
So, 5* (3 larger + 6 small stickers)
Learn more about expression here:
https://brainly.com/question/15376386
#SPJ2
Diven {x) = 3x- 1 and 9(x) = 2x-3, for which value of x does g(X) = {2)?
The calculated value of x at g(x) = 2 is x = 2.5
How to determine the value of x at g(x) = 2from the question, we have the following parameters that can be used in our computation:
f(x) = 3x - 1
Also, we have
g(x) = 2x - 3
When g(x) - 2, we have
2x - 3 = 2
So, we have
2x = 5
Divide by 2
x = 2.5
Hence, the value of x at g(x) = 2 is x = 2.5
Read more about function at
https://brainly.com/question/27915724
#SPJ1
PLEASE ANSWER IN THE SCREENSHOT. I WILL MARK BRAINLYEST
Suppose that three in ten adults own an answering machine. A researcher selects a random sample of 38 adults, and is interested in the number of people in the sample will own an answering machine. a) Find the probability that in a sample of 38, exactly 15 people own an answering machine. b) Find the probability that in a sample of 38, at most 15 people own an answering machine.
Answer:
Step-by-step explanation:
15÷38
What is the value of x?
1/3 v2 units
1/2 v3 units
2v3 units
3v2 units
Answer:
Step-by-step explanation:
3/x = sin45
x = 3/sin45
x = 3 / ½(√2)
x = 3(2/√2)
x = 3((2√2)/2)
x = 3√2
The value of x from the give triangle is 3√2 units. Therefore, option D is the correct answer.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
From the given triangle, we have opposite = 3 units and hypotenuse = x units.
We know that, sinθ=Opposite/Hypotenuse
sin45°=3/x
1/√2 =3/x
x=3√2 units
Therefore, option D is the correct answer.
Learn more about the trigonometric ratios here:
brainly.com/question/25122825.
#SPJ7
can i get help please
Answer:
20
Step-by-step explanation:
side BC = side AB
so their base angles that is ∠A = ∠C = (3x+20)°
now, total measure of the angles of a triangle is 180° & ∠B = x°
Now,
m∠A + m∠B + m∠C = 180
⇒ 3x + 20 + x + 3x + 20 = 180
⇒ 7x + 40 = 180
⇒ 7x = 140
⇒x = 20
(6.03)
What is the constant term in the expression 6x³y + 8x² + 5x + 7? (Input a numeric value only.)
Numerical Answers Expected!
Answer for Blank 1:
At 8:00 am, here's what we know about two airplanes: Airplane #1 has an elevation of 80870 ft and is decreasing at the rate of 450 ft/ min. Airplane #2 has an elevation of 5000 ft and is climbing at a rate of 900ft/min. 1) let t represent the time in minutes since 8:00 am, and let E represent the elevation in feet. Write an equation for the elevation of each plane in terms of t. 2) at what time will the two airplanes have the same elevation. 3) what is the elevation at that time?.
Let's begin by listing out the information given to us:
8 am
airplane #1: x = 80870 ft, v = -450 ft/ min
airplane #2: x = 5000 ft, v = 900ft/min
1.
We must note that the airplanes are moving at a constant speed. The equation for the airplanes is given by:
\(\begin{gathered} E=x_1+vt----1 \\ E=x_2+vt----2 \\ where\colon E=elevation,ft;x=InitialElevation,ft; \\ v=velocity,ft\text{/}min;t=time,min \\ x_1=80,870ft,v=-450ft\text{/}min \\ E=80870-450t----1 \\ x_2=5,000ft,v=900ft\text{/}min \\ E=5000+900t----2 \end{gathered}\)2.
We equate equations 1 & 2 to get the time both airlanes will be at the same elevation. We have:
\(\begin{gathered} 5000+900t=80870-450t \\ \text{Add 450t to both sides, we have:} \\ 900t+450t+5000=80870-450t+450t \\ 1350t+5000=80870 \\ \text{Subtract 5000 from both sides, we have:} \\ 1350t+5000-5000=80870-5000 \\ 1350t=75870 \\ \text{Divide both sides by 1350, we have:} \\ \frac{1350t}{1350}=\frac{75870}{1350} \\ t=56.2min \\ \\ \text{After }56.2\text{ minutes, both airplanes will be at the same elevation} \end{gathered}\)3.
The elevation at that time (when the elevations of the two airplanes are the same) is given by substituting the value of time into equations 1 & 2. We have:
\(\begin{gathered} E_1=80870-450t \\ E_1=80870-450(56.2) \\ E_1=80870-25290 \\ E_1=55580ft \\ \\ E_2=5000+900t \\ E_2=5000+900(56.2) \\ E_2=5000+50580 \\ E_2=55580ft \\ \\ \therefore E_1\equiv E_2=55580ft \end{gathered}\)Ciara throws four fair six-sided dice. The faces of each dice are labelled with the numbers 1, 2, 3, 4, 5, 6 Work out the probability that at least one of the dice lands on an even number.
The likelihood that one or more of the dice will land on an even number is 1296.
How does probability work?The likelihood of an event is quantified by its probability, which is a number. It is stated as a number between 0 and 1, or in percentage form, as a range between 0% and 100%. The likelihood of an event increasing with probability of occurrence.
According to the given information:Four 6-sided dice are rolled what is the probability that at least two dice show least 2 die the same.
For 2 of the same: 5×5×642) =900
For 3 of the same: 5×643) =120
For 4 of the same: 644) =6
Combined: 900+120+6=1026
Total possibilities: 64=1296
To know more about probability visit:
https://brainly.com/question/30034780
#SPJ1
The probability that at least one of the dice lands on an even number is 15/16 or approximately 0.938.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
We can solve this problem by finding the probability that all four dice land on odd numbers and then subtracting this probability from 1 to get the probability that at least one of the dice lands on an even number.
The probability that one dice lands on an odd number is 3/6 = 1/2, and the probability that all four dice land on odd numbers is:
(1/2) × (1/2) × (1/2) × (1/2) = 1/16
Therefore, the probability that at least one of the dice lands on an even number is:
1 - 1/16 = 15/16
So the probability that at least one of the dice lands on an even number is 15/16 or approximately 0.938.
To learn more about probability from the given link:
https://brainly.com/question/30034780
#SPJ1
What is the value of -5n -23 when n=11?
Answer:
Step-by-step explanation:
Answer: -78
-5(11)-23=?
-55-23= -78
Answer:
-78
Step-by-step explanation:
n = 11
Replace n with its given value in this expression:
\( - 5n - 23\)
\( - 5 \times 11 - 23 = - 55 - 23 = - 78\)
❗❗100 POINTS FOR CORRECT ANSWER AND EXPLANATION❗❗~math question~
thanks)
Answer:
k = 110
Step-by-step explanation:
You want the integer multiple of pi that is the area of 300° of a donut with inner radius 8 cm and outer radius of 14 cm.
Area of a circleThe area of a circle is given by the formula ...
A = πr²
Then the area of the outer circle is ...
A = π(14 cm)² = 196π cm²
The area of the inner circle is ...
A = π(8 cm)² = 64π cm²
Donut areaThe area of the whole donut is the difference of these areas:
whole donut area = (196 -64)π cm² = 132π cm²
Shaded areaThe shaded area of the figure represents 300° of the 360° full donut. The area is proportional to the central angle, so the shaded area is ...
shaded area = (300°/360°)×whole donut area
shaded area = 5/6 × 132π cm² = 110π cm²
Comparing this to the expression kπ cm², we see that ...
k = 110
In the diagram figure PMNO is the image of figure ABCD
What is the name of the image of AD?
○ MP
○ PO
○ DA
○ ON
The name of the figure illustrated in the image of AD is Side B. PO.
How to illustrate the diagram?From the diagram in the question, Figure ABCD is the Image of PMNO, that is each vertex is a corresponding pair of the other image. This implies that P with AM with BN with CO with D
The same can be applied to the sides in the two images ABCD correspond with PMNO, also each corresponding side will be AD to PO. In this case, AB to PMBC to MNDC to ON.
Therefore, the image of side AD must be PO.
In conclusion, the correct option is B.
Learn more about figure images on:
https://brainly.com/question/13676409
#SPJ1
Can we say that -3 belongs to the set of rational numbers? Give reason to support your answer.
Answer:
Step-by-step explanation:
Yes.
Since the universal set of rational numbers range from negative infinity of rational numbers to positive infinity of national numbers, then -3 is part of the of rational numbers set.
Round to the nearest hundredth (2 decimal places) when necessary
Answer:
18.22 is the circumference
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
if it's area, then:
area = 26.41 ft²
Step-by-step explanation:
area = πr² = (3.14)(2.9²) = 26.41 ft²
1. Quinn's test scores are 95, 90, and 83. What must she score on the next test to have an average
score of 90 on the four tests?
Answer:
92
Step-by-step explanation:
Add 95, 90, and 83 all together
add 92 to that total
divide by 4
please help me solve this
The area of triangle EFG is given as follows:
A = 18.63 square units.
How to obtain the area of a triangle?The area of a rectangle of base b and height h is given by half the multiplication of dimensions, according to the formula presented as follows:
A = 0.5bh
The base is given by segment EF as follows:
\(EF = \sqrt{(9 - 4)^2 + (-7 -(-9))^2}\)
EF = 5.4.
The midpoint of EF is given as follows:
M(6.5, -8).
The height is given by the segment MG as follows:
\(MG = \sqrt{(6.5 - 3)^2 + (-2 - (-8))^2}\)
MG = 6.9.
Hence the area is given as follows:
A = 0.5bh
A = 0.5 x 5.4 x 6.9
A = 18.63 square units.
More can be learned about the area of a triangle at brainly.com/question/21735282
#SPJ1
Three times the measure of the supplement of an angle is 108 degrees more than 9 times the measure of the angle's complement. Find the measure of the angle, it's complement and its supplement.
Answer:
63°, 27°, 117°Step-by-step explanation:
Angle = xSupplement = sComplement = cGiven
3s = 9c + 108°We know that:
s = 180° - x, as per definition of supplementary anglesc = 90° - x, as per definition of complementary anglesSubstituting in the equation above and solving for x:
3(180-x) = 9(90 -x) + 108540 - 3x = 810 - 9x + 1089x - 3x = 918 - 5406x = 378x = 378/6x = 63°c = 90° - 63° = 27°s = 180° - 63° = 117°The equation y=x^2-12x+45 models the number of books y sold in a bookstore x days after an award-winning author appeared at an autograph-signing reception.
How many books were sold at the autograph session?
What is the minimum nunber of books sold?
What day did that occur?
How many books were sold on day fifteen?
Answer:
3.2
Step-by-step explanation:
Answer:
Answer: The first day the author reaches 100 days is on day 16.
To solve this problem, you could use a graphing calculator to graph the given equation. Then, determine when this line crosses 100. It crosses when x = 15.539. Therefore, we would have to round up to 16 so it is at least 100.
You could use the quadratic equation to solve: 100 = x^2 -12x + 45
Either you will get 16. If you use the quadratic formula, make sure to only use the positive answer.
A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shirts and needs to figure out how much he can spend per shirt, s.
Which of the following must be true about the inequality and the resulting graph? Select three options.
The inequality should be written as 25 s less-than 300.
The inequality should be written as 25 s greater-than 300.
The circle is open.
The circle is closed.
The arrow points left.
The correct options are 1, 3 and 5.
Step-by-step explanation:
Let the price of a new shirts be s.
The number of members is 25. The price of 25 shirts is 25s.
The cost must be less than $300. It means
Therefore option 1 is correct.
Divide both sides by 25.
The sign of inequality is < instead of ≤. It means the 12 is not included in the solution set.
Open circle is used for "<" and ">". Closed circle is used for "≤" and "≥".
Since the sign of inequality is <, therefore the circle is open and option 3 is correct.
The value of s is less than 12.
Therefore the arrow points left and option 5 is correct.
Answer:
A,C,E
Step-by-step explanation:
i got it right on edge 2021
Solve for r.0.5(r +2.75) = 3
The given equation is,
\(0.5\mleft(r+2.75\mright)=3\)To solve the above equation for r, first divide both sides of the equation by 0.5.
\(\begin{gathered} \frac{0.5\mleft(r+2.75\mright)}{0.5}=\frac{3}{0.5} \\ r+2.75=6 \end{gathered}\)Subtract 2.75 from both sides of the above equation.
\(\begin{gathered} r+2.75-2.75=6-2.75 \\ r=3.25 \end{gathered}\)Therefore, the value of r is 3.25.
When all the sides of a square is reduced by half, the new area is 108 cm square smaller than the old area. What is the new perimeter of the square?
Answer:
41.60
Step-by-step explanation:
\(\sqrt{108}\)=10.39230485=10.40
10.40+10.40+10.40+10.40=41.60
10.40*2=20.80
\(20.80^{2}\)=432.64
Pls fast I need help plsssss
Answer:
ok so u know that all triangles in the inside are equal to 180
Step-by-step explanation:
1. 180-162= 18 angle a is 18, now to solve for b 180-122-18=40, angle b is 40
2.180-171=9 angle a is 9, now to solve for b 180-128-9=43, angle b is 43
3.180-35-22=132 angle c is 132, now to solve for angle d 180-22=158, angle d is 158
4. 180-20-29=131 angle c is 131, now to solve for angle d 180-20=160, angle d is 160