Answer:
9
Step-by-step explanation:
14/y=112/72
simplify 112/72 into 14/9
14/y=14/9
y=9
Rachel types 162 words in 3 minutes. Rachel types at a constant rate.
Answer:
rise
Step-by-step explanation:
Why do equivalent ratios form a straight line when graphed?
The y-values of equivalent ratios increase at the same rate as their x-values. The vertical distance between points is constant, and the horizontal distance between points is constant. This forms a straight line.
Explanation:
Equivalent proportions (which are, as a result, equal parts) are two proportions that express a similar connection between numbers. We can make comparable proportions by duplicating or separating both the numerator and denominator of a given proportion by a similar number.
Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions.
Answer:
The y-values of equivalent ratios increase at the same rate as their x-values. The vertical distance between points is constant, and the horizontal distance between points is constant. This forms a straight line.
Step-by-step explanation:
Copy and paste this answer and you will get it correct!!!!! I promise!
4x - 2y = 0
-x - 2y = -25
Answer:
[tex]x=5,y=10[/tex]
Step-by-step explanation:
Given:
[tex]4x - 2y = 0[/tex] equation:1
[tex]-x - 2y = -25[/tex] equation:2
Terminating the equations by subtracting equation:2 from equation:1
[tex]4x - 2y -(-x - 2y)= 0-( -25)\\\\ 4x-2y+x+2y=25\\\\5x=25\\\\x=5[/tex]
Putting 'x' in equation :1
[tex]4(5) - 2y = 0\\\\20-2y=0\\\\2y=20\\\\y=10[/tex]
[tex]x=5,y=10[/tex]
Please help, I need input on if I did this correctly and you just substitute.
I have the function h(t) = -16t^2 + 15t + 6.5
t equals 15/32.
If you substitute 15/32 for t, what do you get?
Any help is appreciated, thank you very much!
The value of h(t) when [tex]t=\frac{15}{32}[/tex] is 10.02.
Solution:
Given function [tex]h(t)=-16t^2+15t+6.5[/tex]
To find the value of h(t) when [tex]t=\frac{15}{32}[/tex]:
[tex]h(t)=-16t^2+15t+6.5[/tex]
Substitute [tex]t=\frac{15}{32}[/tex] in the given function.
[tex]$h\left(\frac{15}{32} \right)=-16\left(\frac{15}{32} \right)^2+15\left(\frac{15}{32} \right)+6.5[/tex]
[tex]$=-16\left(\frac{225}{1024} \right)+15\left(\frac{15}{32} \right)+6.5[/tex]
Now multiply the common terms into inside the bracket.
[tex]$=-\left(\frac{3600}{1024} \right)+\left(\frac{225}{32} \right)+6.5[/tex]
Now, in the first term, the numerator and denominator both have common factor 16. So reduce the first term into the lowest term.
[tex]$=-\left(\frac{225}{64} \right)+\left(\frac{225}{32} \right)+6.5[/tex]
To make the denominator same, take LCM of the denominators.
LCM of 64 and 32 = 64
[tex]$=-\left(\frac{225}{64} \right)+\left(\frac{225\times2}{32\times2} \right)+6.5\times\frac{64}{64}[/tex]
[tex]$=-\frac{225}{64} +\frac{450}{64}+\frac{416}{64}[/tex]
[tex]$=\frac{-225+450+416}{64}[/tex]
[tex]$=\frac{641}{64}[/tex]
= 10.02
[tex]$h\left(\frac{15}{32} \right)=10.02[/tex]
Hence the value of h(t) when [tex]t=\frac{15}{32}[/tex] is 10.02.
a boat is 600 meters from the base of a cliff. Erika, who is sitting in the boat, notices that the angle of elevation to the top of the cliff is 32°. How high is the cliff?
Answer:
375 meters
Step-by-step explanation:
We use the tangent ratio to determine the height of the height of the cliff.
We have that, the boat is 600 meters from the base of a cliff.
We also know that, the angle of elevation to the top of the cliff is 32°
Using the tangent ratio, we have:
[tex] \tan(32) = \frac{h}{600} [/tex]
We solve for h to obtain:
[tex]600\tan(32) = h[/tex]
[tex]h = 374.92[/tex]
Therefore the height of the cliff is approximately 375 meters
The angle of elevation is an angle that is formed between the horizontal line and the line of sight, hence the Height of the cliff is
374.4 meters
Height of Cliff/ Angle of ElevationGiven Data
Opposite/Height of cliff = ??
Adjacent/Distance of boat from base = 600 meters
Angle of elevation ∅ = 32°
By applying SOH CAT TOA
Tan ∅ = Opp/Adj
Substituting our given Data we have
Tan 32 = Opp/600
0.624 = Opp/600
Cross multiply we have
Opp = 0.624*600
Opp = 374.4 meters
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I’m the slope-intercept form, what variable is used to represent the y-intercept? Y=Mx+b
A. M is the y-intercept
B. B is the y-intercept
What is an equivalent expression for 1.5(3x + 4) +0.25(6x + 8)?
(25 points)
Answer:
6x+8
Step-by-step explanation:
Answer:
6x + 8 is the answer
Step-by-step explanation:
on Edgenuity 2020
Identify the binomial that is a factor of the polynomial P(x) = x^3 + 5x^2 − 9x − 45.
(x²-3²)(x+5) is the binomial that is a factor of the polynomial P(x) = x³ + 5x² − 9x − 45
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The given polynomial is P(x) = x³ + 5x² − 9x − 45.
Factor out the greatest common factor from each group.
x³ + 5x² − 9x − 45.
x cube plus five times of x square minus nine times of x minus forty five.
x² (x+5)-9(x+5)
(x²-9)(x+5)
We can write 9 as a square of three
(x²-3²)(x+5)
A mathematical expression consisting of two terms connected by a plus sign or minus sign
Hence, (x²-3²)(x+5) is the binomial that is a factor of the polynomial P(x) = x³ + 5x² − 9x − 45
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Advanced question!
I need smart people
Answer:
3/2
Step-by-step explanation:
Scale factor=side of second triangle/side of first triangle
Scale factor=12/8
=3/2
Step-by-step explanation:
[tex]Scale \: factor = \frac{8}{12} = \frac{2}{3} \\ [/tex]
A machine makes 300 boxes in 15 minutes which expression equals the unit rate in box per hour
Answer:
20 per min
Step-by-step explanation:
Answer: 1200 boxes per 1 hour
Step-by-step explanation: 15 divided by 3 is 5. 300 divided by 100. 100 boxes in 5 minutes. 5 times x is 60. 60 is a hour. 60 divided by 5 is 12. 100 times 12 is 1200. 1200 boxes per 1 hour.
When 4((0.5 x + 2.5 y minus 0.7 x minus 1.3 y + 4)) is simplified, what is the resulting expression?
Answer:
[tex]-0.8x + 4.8y + 16[/tex]
Step-by-step explanation:
We have to simplify the given expression:
[tex]4(0.5x + 2.5y-0.7x-1.3y+4)[/tex]
First we group all the like terms of x.
[tex]4((0.5x-0.7x) + 2.5y-1.3y+4))\\=4(-0.2x+ 2.5y-1.3y+4)[/tex]
Next we group all the like terms of y.
[tex]4(-0.2x+ (2.5y-1.3y)+4)\\=4(-0.2x+1.2y+4)[/tex]
Now, we use distributive property for the multiplication,
[tex]4(-0.2x+1.2y+4)\\=(4\times -0.2x) + (4\times 1.2y) + (4\times 4)\\=-0.8x + 4.8y + 16[/tex]
is the required simplified expression.
Answer:
-0.8x + 4.8y + 16
Step-by-step explanation:
On April 14-15, 1921 in Silver Lake.
Colorado, 76 inches of snow fell in
24 hours, at an average rate of
3.2 inches per hour. Find a rule for
the linear function that describes the
amount of snow after x hours at the
average rate.
Answer:
Step-by-step explanation:
First, we can convert feet to inches
1 foot=12 inches
7 feet=84 inches
Next, we find out inches per hour
84 inches/27 1/2 hours
----------- --------------
27 1/2 27 1/2
=3.054 inches/hour
Write the fraction as a decimal 21/40
Answer:
0.525
Step-by-step explanation:
It's easy
Answer:
0.53
Step-by-step explanation:
a quadrilateral has sides that measure 12 centimeters, 10 centimeters, 10 centimeters, and 5 centimeters. The side that measures 12 centimeters is parallel to the side that measures 5 centimeters. What is the figure l?
Answer:
Trapezium.
Step-by-step explanation:
Some of the properties of a trapezium include:
- A pair of opposite parallel sides (the long and short base)
- Has 4 sides (meaning it is a quadrilateral)
-
I need now plz
Select all the functions whose graphs include the point (16, 4).
A. y=2x
B. y=x2
C. y=x+12
D. y=x−12
E. y=14x
The functions whose graphs include the point (16, 4) is y = x−12.
Option: D.
Step-by-step explanation:
To find the function that passes through the point (16,4).
Substitute the point in all the equations and equate the final values to find the correct equation.
A. y=2x.
Substitute (16,4).
4=2(16).
4≠32.
Thus the equation doesn't contains the point (16,4).
B. y=[tex]x^2[/tex].
Substitute (16,4).
4=[tex]16^2[/tex].
4≠ 256.
Thus the equation doesn't contains the point (16,4)
C. y=x+12.
4=16+12.
4≠28.
Thus the equation doesn't contains the point (16,4)
D. y=x−12.
4=16-12.
4=4.
Thus the equation contains the point (16,4)
E. y=14x.
4=14(16).
4≠224.
Thus the equation doesn't contains the point (16,4)
∴The functions whose graphs include the point (16, 4) is y = x−12.
Answer:
Step-by-step explanation:
There are 2 answers to this question. I know one of them wich is D but the other one I think it;s A
Out of each 100 products , 93 are ready for purchase by customers. If you selected 20 products, what would be the expected mean number that would be ready to purchase by customers?
Answer:
19
Step-by-step explanation:
We have that out of 100 products , 93 are ready for purchase by customers.
The probability of the product being purchased is 93% or 0.93.
The expectation is given by;
E(x)=n*p(x)
If the 20 products are selected, then we have n=20
The expectation is
[tex] \bar x = 0.93 \times 20[/tex]
[tex] \bar x = 18.6[/tex]
Thus approximately 19 customers will be ready to purchase
Final answer:
The expected mean number of products ready for purchase out of 20 selected is 18.6, calculated by multiplying the probability of one product being ready (0.93) by the total number of products (20).
Explanation:
To determine the expected mean number of products ready to purchase out of a selection of 20 products, given that out of each 100, 93 are ready, we use the concept of probability and expected value. The probability that any one product is ready to purchase can be represented as 93/100 or 0.93.
For the expected mean number of products ready to purchase out of 20, we multiply the probability that one product is ready (0.93) by the total number of products chosen (20):
Expected mean number = 0.93 * 20 = 18.6
Therefore, we would expect that, on average, 18.6 out of 20 products selected would be ready to purchase.
ASAP Correct Penn Foster answer only
which of the following is a goal of the globalization movement?
A. Nations should pass regulations to protect infant industries
B. Removing barriers to trade
C. Tariffs are an acceptable way to protect a nation's manufacturing
D. Nations should feel free to have different trade standards with different nations
Answer:
B
Step-by-step explanation:
Globalization represents to the worldwide reconciliation of universal exchange, venture, data innovation and societies. Government strategies intended to open economies locally and universally to support advancement in poorer nations and raise ways of life for their kin are what drive globalization. In any case, these approaches have made a universal free market that has principally profited global enterprises in the Western world to the disadvantage of littler organizations, societies and average folks.
Answer:
I took the test the answer is B.
Step-by-step explanation:
Please help! Thank you!
Answer:
1. 7/10 + 3 6/10= 4 13/10= 5 3/10
I NEED HELP FAST PLEASE WILL GIVE BRAINIEST
Gavin deposited money into his savings account that is compounded annually at an interest rate of 9%. Gavin
thought the equivalent quarterly interest rate would be 2.25%. Is Gavin correct? If he is, explain why. If he is
not correct, state what the equivalent quarterly interest rate is and show how you got your answer.
Answer:
He is correct.
Step-by-step explanation:
9÷4=2.25
The equivalent quarterly interest rate is 2.25%. The annual interest is converted quarterly by dividing the annual rate by 4.
What is the definition of simple interest?Simple interest is a notion employed in various industries, including banking, finance, and automobiles.
Gavin put money into his savings account, which is compounded annually at an interest rate of 9%
The corresponding quarterly interest rate is, 2.25%.
The annual interest is converted quarterly as;
[tex]\rm n= \frac{9}{4} \\\\ n= 2.25\%[/tex]
Hence, the equivalent quarterly interest rate is 2.25%.
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452 multiplied by 36
Answer:
16272
Step-by-step explanation:
just use mutiplication
The length of a rectangle is two more than four times the width if the perimeter is 54 inches what are the length and width?
Answer:
Length = 22 inches, Width = 5 inches
Step-by-step explanation:
Let P represent the Perimeter, L , the length and W, the width
Perimeter of a rectangle, P = 2 (L + W) ....eq 1
from the question;
L = 2 + 4W .....eq 2
Slotting in the respective values of P and L in eq 1
54 = 2{(2 + 4W) + W}
Expanding the bracket
54 = 2(2 + 5W)
54 = 4 + 10W
Subtracting 4 from both sides of the equation
54 - 4 = 10 W
50 = 10W
Dividing both sides by the coefficient of W which is 10
5 = W
Therefore, W = 5 inches
Slotting in the value of W in eq 2
L = 2 + 4(5)
L = 2 + 20
L = 22 inches
Now lets check our answers by slotting in the values of P, L and W in eq 1
54 = 2 (22 + 5)
54 = 2 (27)
54 = 54
Since both sides of the equation are equal, the values of L and W are correct
Hence Length = 22 inches, Width = 5 inches
Beth won 86 pieces of gum playing hoops at her school’s game night. Later, she gave three to each of her friends. She only has 2 remaining. How many friends does she have.
Answer:
That's a very dumb question, because some of her friends could be fakers and users. But, I'll answer it.
86 subtracted by 2 is 84.
It says she gave 3 to each friend so:
84 divided by 3 is 28.
She has 28 friends.
Every Saturday morning,Shaun mows 3 lawns 6 hours at this rate how many hours will it take him to mow 78 lawns (please solve this)
Final answer:
It will take Shaun 156 hours to mow 78 lawns based on his current rate of mowing 3 lawns in 6 hours.
Explanation:
To determine how many hours it will take Shaun to mow 78 lawns based on the rate at which he mows 3 lawns in 6 hours, we will use a proportion. First, we find the rate at which Shaun mows lawns per hour, which is 3 lawns / 6 hours = 0.5 lawns per hour. Next, we set up a proportion where the total number of lawns he needs to mow (78 lawns) is set equal to the product of the number of hours it takes (which we are trying to find) and the rate at which he mows lawns (0.5 lawns per hour).
So, the proportion is:
78 lawns = x hours ( 0.5 lawns/hour.)
Dividing both sides of the equation by 0.5 lawns/hour gives us:
x hours = 78 lawns / 0.5 lawns/hour
x hours = 156 hours.
Therefore, it will take Shaun 156 hours to mow 78 lawns at his current rate.
What is the solution of the equation?
A. –5, 11
B. 5
C. 11
D. –11
Answer:
The solution is -5 or 11
Step-by-step explanation:
We are given the equation;
[tex]4(3-x)^\frac{4}{3}-5=59[/tex]
We are supposed to solve the equation;
Taking 5 to the other side;
[tex]4(3-x)^\frac{4}{3}=59+5[/tex]
[tex]4(3-x)^\frac{4}{3}=64[/tex]
Dividing both sides by 4
[tex](3-x)^\frac{4}{3}=\frac{64}{4}[/tex]
[tex](3-x)^\frac{4}{3}=16[/tex]
We can cube both sides;
[tex]((3-x)^\frac{4}{3})^3=16^3[/tex]
[tex](3-x)^4=4096[/tex]
Then we can get the fourth root on both sides of the equation;
[tex]\sqrt[4]{ (3-x)^4} =\sqrt[4]{4096}[/tex]
We get;
[tex]3-x=+8 or -8[/tex]
Solving for x
[tex]3-x=8 and 3-x=-8[/tex]
Therefore;
[tex]x=-5 or 11[/tex]
Therefore, the solution is -5 or 11
Which is equivalent to 16 Superscript three-fourths x?
RootIndex 4 StartRoot 16 EndRoot Superscript 3 x
RootIndex 4 x StartRoot 16 EndRoot cubed
RootIndex 3 StartRoot 16 EndRoot Superscript 4 x
RootIndex 3 x StartRoot 16 EndRoot Superscript 4
Answer:
Option A
Step-by-step explanation:
We want to find an expression that is equivalent to
[tex] {16}^{ \frac{3}{4}x } [/tex]
Recall that:
[tex] {a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} } [/tex]
We apply this property of exponents to rewrite our expression:
We set a=16, n=4 and m=3x
This implies that:
[tex]{16}^{ \frac{3x}{4} } = \sqrt[4]{ {16}^{3x} } = (\sqrt[4]{ {16} })^{3x} [/tex]
The first choice is correct.
Answer:
A
Step-by-step explanation:
edg review 2020
how to solve y-x=0 and 7x-9y=8 by substitution
With y-x=0, add x to both sides to get y=x.
Now you can substitute either x or y
7x-9x=8 or 7y-9y=8 which is the same thing
-2x=8 or -2y=8
x=-4 or y=-4
Hope this helped!
there can be at most 1100 people in the Pokémon conference room. There are currently 20 tables set up the canned seat 10 people each. there are additional tables in storage that seats 25 people each
Lin’s puppy is gaining weight at a rate of 0.125 pounds per day. Describe the Weight gain in days per pound
Final answer:
The weight gain in days per pound for Lin's puppy is 8 days per pound.
Explanation:
The weight gain in days per pound can be calculated by taking the reciprocal of the rate of weight gain. In this case, Lin's puppy is gaining weight at a rate of 0.125 pounds per day. To find the weight gain in days per pound, we can take the reciprocal of 0.125, which is 1/0.125 = 8 days per pound.
The sum of two numbers is −45. One number is 9 more than the other. Find the numbers.
Answer:
-27 and -18
Step-by-step explanation:
Solve algebraically. Use a variable and an expression to represent the numbers.
let the smaller number be "x"
The bigger number is x + 9.
The two numbers are "x" and "x + 9".
The sum of two numbers means when you add them together. If their number is −45, then:
x + x + 9 = −45
Simplify and isolate "x" to solve in the equation.
x + x + 9 = −45 Collect like terms (numbers that have "x") to simplify
2x + 9 = −45 Isolate "x"
2x + 9 - 9 = −45 - 9 Subtract 9 from both sides
2x = −54
2x/2 = −54/2 Divide both sides by 2
x = -27 Value of smaller number
The bigger number is x + 9. Substitute "x" for -27 and solve.
x + 9
= -27 + 9 Add together
= -18 Value of bigger number
Therefore the two numbers are -27 and -18.
Answer:
if -45 + -9 = -54 that means - 54 + 9 = -45
Step-by-step explanation:
4 sisters love barrettes. they have a value pack that contains 92 barrettes. how many barrettes can each sister have if they share equally?
Answer:
23
Step-by-step explanation:
92÷4=23
There are a total of 92 barrettes and 4 sisters so you divide the total amount of barrettes with the total amount of people present.
Answer:
23 barrettes
Step-by-step explanation:
92 divided by 4=23 There are a total of 92 barrettes and 4 sisters so you divide the total amount of barrettes with the total amount of people present.
In another way :
So you have 92 then you divide 92 by 4 and that equals 23