Answer:
y = 4
Step-by-step explanation:
Step 1: Write out equation
5y + 34 = -2(-7y + 1)
Step 2: Distribute
5y + 34 = 14y - 2
Step 3: Subtract 5y on both sides
34 = 9y - 2
Step 4: Add 2 to both sides
36 = 9y
Step 5: Divide both sides by 9
4 = y
Step 6: Rewrite
y = 4
WILL GIVE BRANLEST IF CORRECT
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? SELECT 3 OPTIONS
A.) 6 feet by 2 feet by 3 feet
B.) 6 feet by 5 feet by 4 feet
C.) 0 7 feet by 6 feet by 4 feet
D.) 8 feet by 3 feet by 7 feet
E.) O 8 feet by 4 feet by 3 feet
Answer:
B or C
Step-by-step explanation:
B area = 2 ( 6 x5 + 5 x 4 + 4 x 6) = 148 square feet
C area = 2 ( 8x3 + 3x7 + 7x8) = 202 sq ft
150 meters is 30% of __________ meters. PLS HELP
Answer:
500
Step-by-step explanation:
150(100) = 15000 / 30 = 500
Difference between 5429 and 5907 to the greatest place.
answer- u have to subtract the great no. from the smaller one
Given numbers are 5429 and 5907..
To find the difference we should subtract..
5907
- 5429
-------------
478
_______
#Answered by: Cutest GhostFalling objects can be modeled with quadratic functions. One student was thinking about this
and wondered what might happen in a few different situations.
They wondered if they could get on top of a 126 foot tall building and throw a tennis ball
straight up in the air as hard as they could, how long would it take for the ball to hit the ground.
Based on their knowledge of gravity and how fast they can throw a ball, they created the
following equation, which relates time, t, in seconds to height, h(t), in feet.
h(t) = -14t² + 56t+126
a. Find the vertex of the equation and explain what it means in this context.
b. Find the x-intercepts and y-intercept and explain what they mean in this context.
This student also wonders how long it will take the ball to reach the 6th floor, which
they measured to be 72 feet from the ground. Find the time it will take for the ball to reach 72 feet.
a. The x-coordinate of the vertex (2) represents the time it takes for the ball to reach its maximum height, and the y-coordinate (182) represents the maximum height itself.
b. The tennis ball is initially at a height of 126 feet above the ground.
How to calculate the valuea. The x-coordinate of the vertex is 2. To find the y-coordinate, we substitute this value back into the equation:
h(2) = -14(2)² + 56(2) + 126
h(2) = -14(4) + 112 + 126
h(2) = -56 + 112 + 126
h(2) = 182
Therefore, the vertex of the equation is (2, 182). In this context, the vertex represents the highest point reached by the tennis ball during its trajectory. The x-coordinate of the vertex (2) represents the time it takes for the ball to reach its maximum height, and the y-coordinate (182) represents the maximum height itself.
b. In order to find the y-intercept, we set t equal to zero and evaluate h(t):
h(0) = -14(0)² + 56(0) + 126
h(0) = 126
The y-intercept is 126. In this context, the y-intercept represents the initial height of the ball when it is thrown. Therefore, the tennis ball is initially at a height of 126 feet above the ground.
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1
Given: - 2 x > 6.
Choose the solution set.
O{x|xER, x>-12}
{x|xER, x>-3}
{x|xER,x<-3}
(xxER, x < -12}
Answer:
x< -12
Step-by-step explanation:
-1/2x>6
x-2. x-2
x>-12
Since we multiply by we negative we flip the sign
x< -12
Hopes this helps
If the cost of milk is $3 per gallon, what is the amount of money a farmer can make by selling the milk produced by the cow in the month of April?
The amount of money a farmer can make by selling the milk produced by the cow in the month of April is $90
How to determine the amountFrom the equation given, we have that
$3 = I gallon
Let's take it that the farmer sells one gallon by per day
We know that the month of April has 30 days
So if he makes $3 in 1 day
He would make x in 30 days
Collect like terms
$30 × 30 days = amount
Multiply through
Amount = $90
Thus, the amount of money a farmer can make by selling the milk produced by the cow in the month of April is $90
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The scale factor and the value of x for each figure is given as follows:
A) Scale factor of 1/3, x = 7 m.
B) Scale factor 0.4747, x = 4.5 in.
How to obtain the scale factor and the value of x?For Figure A, we have that the ratio between the areas is given as follows:
510/4590 = 1/9.
As the area is measured in square units, while the side lengths are measured in units, the scale factor is the square root of 1/9, hence it is given as follows:
1/3.
Then the value of x is obtained as follows:
x = 21 x 1/3
x = 7 m.
For Figure B, we have that the ratio between the areas is given as follows:
16/71 = 0.22535.
The scale factor is then the square root of 0.22535, which is given as follows:
0.4747.
Then the value of x is given as follows:
x = 9.5 x 0.4747
x = 4.5 in.
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Find tan(B) in the triangle.
Step-by-step explanation:
tan = perpendicular / base
acc. to diagram ,
angle C = 90°
such that
AB is hypotenuse
acc to theta ,
AC is perpendicular and BC is base
therefore
tan theta = AC / BC
tan theta = 8/15
a punch bowl has a capacity of 8 quarts. a recipe fills the bowl 3/4 full.how many quarts does the recipe make
Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.
An unitary method is what?This common convenience, already-existing variables, or all important elements from the original Diocesan customizable survey that followed a particular event methodology can all be used to achieve the goal. If it does, there will be another chance to get in touch with the entity. If it doesn't, each of the crucial elements of a term proof outcome will surely be lost.
Here,
The quantity of punch produced by the recipe is:
If the punch bowl has an 8-quart capacity and the recipe fills it 3/4 full.
=> 6 pints = 8 * 3/4.
The formula yields 6 quarts of punch as a result.
Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.
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Write 0.19 repeating, as a fraction.
Answer:
19/100
Step-by-step explanation:
since the numbers after the decimal point are 2 then you will divode by 100. Nothing that divide them to its simplest form then you will leave your answer as 19/100
The repeating decimal 0.191919... as a fraction is 19/99.
We have,
Consider
x = 0.19191919... ______(1)
Multiply 100 on both sides.
100x = 100 x 0.1919191...
100x = 19.191919 ..... ______(2)
Subtract (1) from (2).
100x - x = 19.191919..... - 0.191919...
99x = 19
x = 19/99
Thus,
The repeating decimal as a fraction is 19/99.
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RSM a pharmisest has a 18 percent alcohol sulution and a 40 percent alcohol sulution how much of each must he use to make 10 leaters of 20 persent alcohol sulution
Answer:
To make 10 liters of 20% alcohol solution, RSM would need to use a combination of the 18% and 40% alcohol solutions. Let's call the amount of 18% solution used "x" and the amount of 40% solution used "y".
To set up the equation, we'll use the fact that the amount of pure alcohol in the final solution must be equal to 20% of the total volume.
So:
0.18x + 0.40y = 0.20(10)
Simplifying:
0.18x + 0.40y = 2
We have one equation with two unknowns, which means we need another equation. Fortunately, we know that RSM is making a total of 10 liters of solution. So:
x + y = 10
We now have two equations with two unknowns, which we can solve simultaneously. One way to do this is to solve one equation for one variable, then substitute that expression into the other equation, like so:
x = 10 - y (from the second equation)
0.18(10-y) + 0.40y = 2 (substituting into the first equation)
1.8 - 0.18y + 0.40y = 2
0.22y = 0.2
y = 0.91
So RSM would need to use approximately 0.91 liters (or 910 milliliters) of the 40% solution, and the rest (9.09 liters or 9090 milliliters) of the 18% solution, to make 10 liters of 20% alcohol solution.
using the data on this scatter plot
Answer:
\( - 8(45) + 482 = - 360 + 482 = 122\)
Write the linear equation that gives the rule for this table.
Linear equations are two-variable equations that graph as a straight line.
What is meant by linear equation?An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.
Two-variable equations that graph as a straight line are said to be linear equations. The slope and y-intercept of a linear equation allow it to be graphed. Y = mx + b, where m is the slope and b is the y-intercept, is the formula used to represent a line. A graph's straight line can be represented by a linear equation.
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I need help on this, find the value of x
Answer:
x=35
obtuse scalene triangle
Step-by-step explanation:
All angles in a triangle add up to 180°.
\(3x-5+x+10+x=180\)
\(5x+5=180\)
\(5x=175\)
\(x=35\)
So, x=35.
When we plug in x to each angle, we see that the 3x-5 angle is above 90°, and all of the angles are different. So, this is an obtuse scalene triangle.
Suppose that addition and subtraction had higher precedence than multiplication
and division. Then the expression
2 + 3 * 12 / 7 - 4 + 8
would evaluate to which of the following?
(A) 11
(B) 12
(C) 5
(D) 9
(E) -4
A) The addition and subtraction had higher precedence than multiplication and division is 11
The precedence's correct order is Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction. Note that Multiplication and Division are left to right whichever is first, same for addition and subtraction.Operator precedence decides how an expression is evaluated. For example, Multiplication has higher precedence than addition, therefore a+b*c will be evaluated as a + (b*c). (expression in bold is evaluated first, then added to a)
The expression 2 + 3 × 12 / 7 - 4 + 8 would evaluate to 11 if addition and subtraction had higher precedence than multiplication and division because the expression would be calculated as follows:
\(2 + (3 * 12 / 7) - 4 + 8 = 2 + (36 / 7) - 4 + 8 = 2 + 5 - 4 + 8 = 11.\)
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PLEASE HELP!!!!!!!!!!
Answer:
k = 125
Step-by-step explanation:
k = (360 - 55 * 2) / 2 = (360 - 110) / 2 = 250 / 2 = 125
which statement comparing the two functions is correct?
A .Function to has a small minimum value of -9.
B. Function to has a smaller minimum value of 4.
C. Function one has the smaller minimum value of -14.
D. Function one has the smaller minimum value of -2.
Answer:
it would be C
hope this helps
Step-by-step explanation:
13tX 9
7. Dareen's family now wants to Install 1-foot-square terra-cotta tiles in the entryway and kitchen, and 4-inch-square blue tiles on each bathroom floor. The
terra-cotta tiles cost $ each, and the bathroom tiles cost 45€ cach. How many of each kind will they need? What will all the tiles cost?
The total number of terra-cotta tiles needed is 220 tiles.
The total number of blue tiles needed is 4428 tiles.
The cost of all the tiles would be $3,092.60.
What is the total number of tiles needed?The first step is to determine the area of the entryway and the kitchen.
Area of the entryway = length x width
(22 - 18) x 10 = 40 ft²
Area of the kitchen = 10 x 18 = 180ft²
Sum of the areas of the entryway and the kitchen = 180 + 40 = 220 ft² = 220 tiles
Total cost = 220 x $5 = $1100
Areas of the bathroom floors = (10 x 6) + (7 x 9) = 123ft²
Convert ft² to in²
1 ft² = 144in²
123 x 144 = 17,712 in²
Number of tiles needed = 17,712 / 4 = 4428 tiles
Total cost = 4428 x 0.45 = $1992.60
Total cost = $1992.60 + $1100 = $3,092.60
Here is the complete question: Dareen's family now wants to Install 1-foot-square terra-cotta tiles in the entryway and kitchen, and 4-inch-square blue tiles on each bathroom floor. The
terra-cotta tiles cost $5 each, and the bathroom tiles cost 45€ cach. How many of each kind will they need? What will all the tiles cost?
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Evaluate 5 + x − 6 ∙ 8 for x = 8.
Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options. y = –Three-fourthsx + 1 3x − 4y = −4 4x − 3y = −3 y – 2 = –Three-fourths(x – 4) y + 2 = Three-fourths(x + 4)
Answer:
The equation of the parallel line to the given equation is
3 x-4 y = -4 and
The equation of the parallel line to the given equation is
\(y = 1 + \frac{3 x}{4}\)
Step-by-step explanation:
Explanation:-
Given equation of the line 3 x -4 y = 7 and given point ( -4 , -2 )
The equation of the parallel line to the given equation is
3 x - 4 y = k
it is passes through the point ( -4 , -2)
3 (-4) - 4 ( -2) = k
-12 +8 = k
k = -4
The equation of the parallel line to the given equation is
3 x- 4 y = -4
Dividing '4' on both sides , we get
\(\frac{3 x-4 y}{-4} = 1\)
\(\frac{-3 x}{4} +y =1\)
\(y = 1 + \frac{3 x}{4}\)
Conclusion:-
∴ The equation of the parallel line to the given equation is
3 x- 4 y = -4
and
The equation of the parallel line to the given equation is
\(y = 1 + \frac{3 x}{4}\)
Answer:
the answer is b and d edge 2021
Step-by-step explanation:
I am finished taking the test got a 100%
Find the missing variable and check: 5(z+4)-13=2z+19
first solve the parenthesis
\(5z+20-13=2z+19\)now place the z's on the same side and the numbers on the other side
\(\begin{gathered} 5z-2z=19+13-20 \\ 3z=12 \\ z=\frac{12}{3} \\ \\ z=4 \end{gathered}\)the value of z is 4
Chang has 2 shirts: a white one and a black one. He also has 2 pairs of pants, one blue and one tan. What is the probability, if Chang gets dressed in the dark, that
he winds up wearing the white shirt and tan pants? Show your work.
Answer:
1/4
Step-by-step explanation:
White = w
Black = B
Blue = b1
Tan = t
Wb1
Wt
Bbi
Bt
The answer will be 1/4, because there are 4 ways it can work and only 1 way it can be white shirt and tan pants.
Answer:
1/4
Step-by-step explanation:
it would be 1/4 because there are 4 different clothing pieces in total and there is only one way it would work the way the problem says.
The company charges $5 per sq ft, AND has a minimum charge of 3 sq ft per order (meaning if a customer orders something SMALLER than 3 sq ft they still are charged as if they ordered 3 sq ft, never less - but if they order something larger than 3 sq ft they just pay regularly by the sq ft). What would you charge someone who orders a piece of glass 12in X 12in
Answer:
15 dollars
Step-by-step explanation:
12 inches = 1 ft
so 12 inch by 12 inches is 1 ft * 1 ft
1 ft* 1 ft
1 ft^2
This is smaller than 3 ft^2 so they will get charged for 3 ft^2
3 ft^2 = 3 ft^2 * $5 / ft^2 = 15 dollars
sharmila recived 81 texts in 9 minutes
Answer:
Step-by-step explanation:
81 texts in 9 hours
So you do 81 divided by 9
Which givrs you 9 text an hour
Tyler then takes his remaining paper and does it again. He cuts the paper to create four equal pieces, then hands one piece each to the others and keeps one for himself. What fraction of the original piece of paper does each person have now?
Answer:
Each person has 1/4 of a peice of paper
Step-by-step explanation: Tyler cut the peices of paper in 4 equal pieces and if he gave himself and another person one peice then they would each of 1/4 of a peice of paper
Todd rolled a 12-sided die marked with the numbers 1 to 12. These are his experimental probabilities.
P(odd number) = 18/48
P(greater than 8) = 16/48
P(9) = 12/48
1. Which experimental probability matches the theoretical probability exactly?
2. Which experimental probability is farthest from the theoretical probability?
The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.
Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.
Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.
The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.
The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.
Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.
The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.
The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.
However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.
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If Charity has $500 this month and spends $40 each
month thereafter, the function that models how much she
has after x months would be f(x) = -40x + 500.
Answer:
f (x) = -60x + 500
Step-by-step explanation:
After 1 month : 500 - 40 x 1
After 2 month: 500 - 40x 2
After 3 month: 500 - 40 x 3
After x month: 500 - 40x
Therfore: f (x) = -40x + 500.. xe[0,8]
{500 - 40x > , 0 }
x ≤ 8
Charity has $420 after 2 months based on the given function
How to solveThe explanation of the function f(x) = -40x + 500,
Which models how much money Charity has after x months:
The coefficient -40 represents the amount of money Charity spends each month.
The constant term 500 represents the amount of money the Charity has at the start.
The function f(x) = -40x + 500 can be interpreted as Charity has an amount after x months if she starts with $500 and spends $40 each month.
For example, if x = 1, then
f(1) = -40 * 1 + 500 = 460,
Which means Charity has $460 after 1 month.
Similarly, if x = 2, then
f(2) = -40 * 2 + 500 = 420,
This means Charity has $420 after 2 months
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Please answer this correctly
Answer:
n = 4
Step-by-step explanation:
These triangles are similar, so you can set up a proportion like this:
\(\frac{20}{n} =\frac{10}{2}\)
→Cross multiply:
\(\frac{40}{10n}\)
→Divide 40 by 10:
n = 4
What is the mean absolute deviation (MAD) of the data set? {12,11,12,16,19}
Answer:
the mean absolute deviation (MAD) of the data set {12, 11, 12, 16, 19} is 2.8.
Step-by-step explanation:
To find the mean absolute deviation (MAD) of the data set {12, 11, 12, 16, 19}, follow these steps:
Find the mean of the data set:
mean = (12 + 11 + 12 + 16 + 19) / 5 = 14
Calculate the absolute deviation of each data point from the mean by subtracting the mean from each data point and taking the absolute value:
|12 - 14| = 2
|11 - 14| = 3
|12 - 14| = 2
|16 - 14| = 2
|19 - 14| = 5
Find the mean of the absolute deviations:
MAD = (2 + 3 + 2 + 2 + 5) / 5 = 2.8
Therefore, the mean absolute deviation (MAD) of the data set {12, 11, 12, 16, 19} is 2.8.
Find the volume of the figure. For calculations involving , give both the exact value and an approximation to the nearest hundredth of a unit. Let d = 10 and h = 18.
________ ft3 ≈ _________ft3
Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.
Explain about the shape of cylinder:A cylinder is three-dimensional. It's not a flat thing. There are parallel circular bases in this shape. These bases have a curved face affixed to them. A cylinder in this instance has three faces. Along both end of a curved face, which rounds back to the face's origin, are two spherical bases.
Given that-
diameter d = 10 ftRadius r = 10/2 = 5 ftHeight h = 18 ftVolume of cylinder = πr²h
Volume of cylinder = 3.14 *5²*18
Volume of cylinder = 3.14*25*18
Volume of cylinder = 1413 ft³
Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.
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