Answer:
[tex]y=\frac{3}{31} x[/tex]
Step-by-step explanation:
Written in: y = mx + b
Answer:
y = 3/31x
Step-by-step explanation:
Step 1: Add 30y to both sides
3x - 30y + 30y = y + 30y
3x = 31y
Step 1: Divide both sides by 31
3x / 31 = 31y / 31
y = 3/31x
Answer: y = 3/31x
Vlad tried to solve an equation step by step.
\qquad\begin{aligned} -8p+14&=42\\\\ \\ -8p&=28&\green{\text{Step } 1}\\\\ \\ p&=-3.5&\blue{\text{Step } 2}\\\\ \end{aligned}
−8p+14
−8p
p
=42
=28
=−3.5
Step 1
Step 2
Answer:
Vlad did not make a mistake
Step-by-step explanation:
Percy is plotting points on a graph. The ratio of y value to x value is 2 to 3 for each point what will be the x value of a point with y value of 18
Answer: point X would be 27.
I think this because if you ratio is 2:3, y:x the 2x9 is 18, y, and 3x9 is 27, X.
This gives a final ratio of 18:27 which, when reduced by nine is 2:3.
Answer:
Step-by-step explanation:
x = 27
The following examples illustrate the commutative property of multiplication.
5 · 2 · 9 = 2 · 5 · 9
Study the examples, then choose the statement that best describes the property.
a · b = a ÷ b
a · (b · c) = (a · b) · c
a · b = b · a
a · b = a · c
The statement that best describes the property is a · b = b · a.
What is commutative property?The commutative property of multiplication states that if there are three numbers x, y, and z, then x × y × z = z × y × x = y × z × x or another possible arrangement can be made.
If you observe the given equation, you will find that the commutative property can be applied. If x = 131, and y = 56 and z = 72, then we know that 131 x 56 x 72 = 72 x 131 x 56.
Given statement:
5 · 2 · 9 = 2 · 5 · 9
So, we can see that only the place has been changed
So, it is commutative property
Hence, the correct statement is a · b = b · a
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Find the slop for each ordered pair
Answer: Slope between two points equation is y2-y1/x2-x1
Step-by-step explanation:
Simplify each expression:
5.) 4 4/5 + 3/4 × 2 1/4
Answer: 6 39/80
Step-by-step explanation:
Micheal can eat 24 hot dogs in 6 minutes for a hot dog eating contest he wants to know how many minutes it would take him to eat 44 hot dogs if he can keep the same pace
It would take him 11 minutes
He is currently eating 4 a minute because 24 divided by 6 is 4 and if you divide 44 by 4 you get eleven.
What is the solution to the system of equations below?
y = three-fourths x minus 12 and y = negative 4 x minus 31
(–4, –15)
(–4, –12)
(4, –9)
(4, –47)
Answer:
A
Step-by-step explanation:
did the test
The required solution for the equations is (-4,-15).
y = 3/4x-12 and y = -4x-31 Solution for both the equation to be determine.
Solutions of equation hat points where both the equation terminate to zero or the I've same value.
y = 3/4x-12 ------(1)
y = -4x-31 ------(2)
Put y from 2 in equation 1
-4x-31= 3/4x-12
19/4x=19
x = -4
Now put this x in equation 2
y = 16-31
y = -15
Thus, the required solution for the equation is (-4,-15).
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multiply 13 x 7/9 answer this question as a simplified mixed number
Answer:
13 x 7/9 = Its about 10.11
Step-by-step explanation:
Answer:
10 1/9
13 x 7/9 = 91/9 or 10 1/9 in simplest form
Perform the indicated operation 7/12 + 3/8
Answer:
23/24
Step-by-step explanation:
7/12 + 3/8
The common denominator is 24
7/12 *2/2 = 14/24
3/8 *3/3 = 9/24
Add them together
14/24+9/24 =23/24
Find the greatest common factor of 15 x2y3 and -18 x3yz .
Step-by-step explanation:
[tex]15 {x}^{2} {y}^{3} \\ = 3 \times 5 \times x \times x \times y \times y \times y \\ \\ - 18 {x}^{3} yz \\ = - 2 \times 3 \times 3 \times x \times x \times x \times y \times z \\ \\ common \: factors = 3 \: x \: x \: y \\ \therefore \: greatest \: common \: factor \\ = 3 \times x \times x \times y \\ = 3 {x}^{2} y[/tex]
The x-intercept of a function y = f(x) are the real solutions of the
equation f(x) = 0.
The given statement "The x-intercept of a function y = f(x) are the real solutions of the equation f(x) = 0." is True because the x-intercepts of a function y = f(x) are points on graph where function crosses x-axis.
At these points, the value of y (f(x)) is equal to 0. In other words, the x-intercepts are the real solutions of the equation f(x) = 0.
To find the x-intercepts of a function, we set f(x) equal to 0 and solve for x. The solutions to this equation will be the x-coordinates of the x-intercepts.
For example, given the function y = 2x - 6, to find the x-intercept, we set y (f(x)) equal to 0:
0 = 2x - 6
Now, solve for x:
2x = 6
x = 6 / 2
x = 3
The x-intercept is (3, 0) since at x = 3, the value of y (f(x)) is 0.
In conclusion, the statement is true. The x-intercepts of a function y = f(x) are the real solutions of the equation f(x) = 0.
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Combine the like terms to create an equivalent expression:
42 – (-32)
PLS HELP
Answer:
4z + 3z or 7z
Step-by-step explanation:
The negative and subtraction cancel each other out.
Answer
2,4,6,8
Step-by-step explanation:
Use photo math
A large bench is 7 feet long. It is 17 inches longer than a shorter bench. How many inches long is the shorter bench?
Answer:
67 in
Step-by-step explanation:
Convert 7bft to inches by multiplying by 12
Then subtract 17.
4 Friends each took a different path walking from the Lunchroom to the gymnausium. Rowan walked 150 yards, Janelle walked 429 feet 8 inches, Domingo walked 130 yards 2 feet, And Lydia walked 460 feet. Who walked the farthest?
Answer: Lydia
Step-by-step explanation:
Convert all distances to the smallest measure in which all distances can be in the same distance type, so that you can see what is the farthest. Note: inches won't be necessary because that's an unreasonable way to measure distance if you walk very far.
Rowan travelled 450 feet
Janelle travelled 429 feet 8 inches
Domingo travelled 392 feet
Lydia travelled 460 feet
Answer: Lydia
Step-by-step explanation:
Convert all distances to the smallest measure in which all distances can be in the same distance type, so that you can see what is the farthest. Note: inches won't be necessary because that's an unreasonable way to measure distance if you walk very far.
Rowan travelled 450 feet
Janelle travelled 429 feet 8 inches
Domingo travelled 392 feet
Lydia travelled 460 feet
A circular hedge surrounds a sculpture on a square base. The radius of the hedge is 6x. The side length of the square sculpture base is 4x. What Is the area of the hedge? Write your answer in factored form.
Answer:14
Step-by-step explanation:
please help me again
Answer:
S(-3.5,0.5)
T(-1,-0.5)
A rectangular box has a width of x meters, length of x + 3 meters, and a height of x – 2 meters. Write an expression for its volume. Remember an expression does NOT have an equal sign
Answer:
x(x+3)(x-2)
Step-by-step explanation:
you can't multiply any of them so the expression is that. x cannot be multiplied with x+3 because x+3 are together.
A cube has a length, width and height of 6 feet. What is the volume in cubic INCHES?
Answer:
Step-by-step explanation:
Answer: (6)(6)(6) 216
Step-by-step explanation:
the base is 6 and a cube has all equal sides so you multiply 6, 3 times because the equation for volume is base x height x width. which equals=216
Is –9 + –97 positive or negative?
A) Positive
B) Negative
Answer:
B) Negative
Step-by-step explanation:
–9 + –97
= –9 + (–97)
= –9 - 97
= -106 (negative number)
I NEED HELP ASAP PLEASE
Answer:
Step-by-step explanation:
Figure out what each fraction is equivilent their decimal. Then you plot it based on the decimal
2 2/3 is 2.6 so plot it past the 2 and through 6 points
1 4/9 is 1.4 so plot it past the one and four points
If an elevator traveled 70 meters in 1/2 minutes how many km/h was it going?
Answer:
8400 km/hr
Step-by-step explanation:
70+70= 140 which is for one minute. Multiple 140 by 60 (60 min in a hour) to get 8400
Answer:
7.14 km/h
Step-by-step explanation:
find out how many meters per minute it is going.
70×2 =140
140 meters per minute
THere are 1000 meters in one kilometer so you would do 1000÷140.
THe answer for 1000÷140 is 7.142, your final answer.
!!HELP ASAP!! What is the surface area of the rectangular pyramid below?
A. 2197 units
B. 312 units
C. 1026 units
D. 507 units
Answer:
D. 507 square units
Step-by-step explanation:
surface area of the rectangular pyramid
[tex] = area \: of \: base + 4 \times area \: of \: one \: \triangle \\ \\ = {13}^{2} + 4 \times \frac{1}{2} \times 13 \times 13 \\ \\ = 169 + 2 \times 169 \\ \\ = 169 + 338 \\ \\ = 507 \: {units}^{2} \\ [/tex]
The surface area of the rectangular pyramid is,
⇒ 507 units²
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The rectangular pyramid is shown in image.
Hence, The surface area of the rectangular pyramid is,
⇒ Area of base + 4 × Area of triangle
⇒ 13 × 13 + 4 × 1/2 × 13 × 13
⇒ 169 + 2 × 169
⇒ 507 units²
Thus, The surface area of the rectangular pyramid is,
⇒ 507 units²
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A basketball team scored 82 points
in a game. The players made no free
throws and the number of two-point
ifield goals was 2 more than 5 times the
number of three-point Shots.
How many of each Shot did they make
Number of 3-point shots are 13 and number of 2-point shots are 69
Step-by-step explanation:
Step 1: Let the number of 3-point shots be x, then the number of 2-point shots will be 5x + 2. Total points = 82. Form an equation to find x.⇒ 82 = x + 5x + 2 = 6x + 2
⇒ 80 = 6x
∴ x = 80/6 = 13.33 ≈ 13
∴ 5x + 2 = 66.67 + 2 = 68.67 ≈ 69
In a pair of complementary angles, the measurement of the larger angle is three times that of the smaller angle. Find the measurements of the two angles.
In a pair of complementary angles, the larger angle is three times the smaller angle. The measurements of the two angles are 22.5 degrees and 67.5 degrees.
Explanation:In a pair of complementary angles, the larger angle and the smaller angle add up to 90 degrees because complementary angles are two angles that add up to a right angle.
Let's assume the smaller angle is x. According to the given information, the larger angle is three times the smaller angle, so it would be 3x.
Now, we can set up an equation to solve for x. Since the sum of the angles is 90 degrees, we have:
x + 3x = 90
Combining like terms, we find 4x = 90. Dividing both sides by 4, we get x = 22.5.
Therefore, the smaller angle measures 22.5 degrees and the larger angle measures 3 times that, which is 67.5 degrees.
a tugboat traveled 1.5 miles in 0.3 hours what is its velocity
Answer:
5 mph
Step-by-step explanation:
1.5miles/.3 hours =
5 miles/hour =
5 mph
The is its velocity 5 mph
What are velocity and example?In simple phrases, speed is the velocity at which something actions in a selected path. For example, the velocity of an automobile journeying north on a motorway, or the rate a rocket travels after launching.
The rapidity of movement or operation; swiftness; speed: a high wind velocity. Mechanics, the time fee of exchange of function of a body in a unique route. The rate of pace with which something occurs; rapidity of action or reaction.
1.5miles/.3 hours
=5 miles/hour
=5 mph
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Given: f(x)=-2x+2 and g(x)=4x+8 which table set up is correct to solve the equation f(x)=g(x)
The solution to f(x) = g(x) is x = -1.
To find the value of x that satisfies the equation f(x) = g(x), we set the two
functions equal to each other and solve for x.
This gives us the equation -2x + 2 = 4x + 8.
Combining like terms, we get 6x = -6.
Dividing both sides by 6, we find that x = -1.
Therefore, the solution to f(x) = g(x) is x = -1.
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Plzz help fast /The volume of the prism
Answer:
1716 m^3
Step-by-step explanation:
We can find the volume of a triangular prism by thinking about it like this - it's half of a rectangular prism. It's just be cut diagonally. So we can imagine that the measurements of the potential rectangular prism are 6m x 26 m x 22m.
Volume of rectangular prism:
6*26*22 = 3432
Volume of triangular prism:
1/2 of rectangular prism - 3432/2 = 1216
Answer:
Step-by-step explanation:
Volume of the prism is calculated by base and height
V= bh
From the figure, base = 6m
Where height = 26m
V = 26m x 6m
= 156m^2
Russel wants to buy three ties and a belt and must spend no more that $80. The belt costs $28.50. If three ties are the same price, then how much can he pay for each tie?
Answer:
About $17.16
Step-by-step explanation:
$80-$28.50= 51.5
Then you divide that by 3 (for the 3 ties)
Russel can spend a maximum of $17.17 on each tie after accounting for the cost of the belt.
To determine how much Russel can spend on each tie, we first need to account for the cost of the belt. The belt costs $28.50 and Russel's total budget is $80. Therefore, the remaining amount for the ties is $80 - $28.50 = $51.50.
Since Russel wants to buy three ties, we need to find the maximum price he can pay for each tie. We can do this by dividing the remaining budget by the number of ties:
$51.50 / 3 = $17.17
Therefore, Russel can spend a maximum of $17.17 on each tie.
luna wants to know what proportion of 7th graders at her school are interested in taking art classes.which Is the best group to survey to find this information?
Answer: Ask every 12th person who leaves school one afternoon.
Roll dice to determine which person to ask first.
Answer: Ask every 12th person who leaves school one afternoon.
Roll dice to determine which person to ask first.
Step-by-step explanation:
The third term of an arithmetic sequence is -8, and the fourth term is -20. What is the second term?
Answer:
the answer is 6
Step-by-step explanation:
In mathematics, an arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. so -20 + 14 is -8 so you just have to add 14 again to -8 to get 6
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