The tennis coach at Riverside High School is purchasing equipment for the team. He has a budget of no more than $300 to purchase racquets and tennis balls. He wants to buy a large case of tennis balls costing $20 and several racquets that cost $40 each. Write an inequality statement that represents his purchase. What does the variable represent in your inequality? Solve the inequality.​

Answers

Answer 1

Answer:

300 ≥ 20 + 40x

Step-by-step explanation:

where x is the amount of racquets being bought

can i get brainliest please?


Related Questions

A rectangle is 12 cm longer than it is wide. If its length and width are both decreased by 2 cm, its area is decreased by 108 cm². Find its original dimensions.

Answers

Let the width be "x" cm.

Then the length is "x+12" cm

And the area = x(x+12) = x^2+12x cm^2

----------------------------

Change the dimensions:

width = "x-2" cm

length = "x+10" cm

New area = (x-2)(x+10) = x^2 + 8x - 20 cm^2

------------------

Equations :

Old area - New area = 108 cm^2

x^2+12x -(x^2 + 8x - 20) = 108

4x + 20 = 108

4x = 88

x = 22 cm (original width)

x+12 = 24 cm (original length)

help me with the function written in recursive form

Answers

Answer:

S/A/H/a=8

Step-by-step explanation:

Seema bought a refrigerator for {14300 including a GST of 10%. The price of the refrigerator before GST was added is

Answers

Answer:

$13,000

Step-by-step explanation:

Given:

Seema bought a refrigerator for {14300 including a GST of 10%.

To FInd:

The price of the refrigerator before GST was added is

Solve:

[tex]\\[/tex]100/100+10×14300

=100/110×14300

=$13,000

Hence, The price of the refrigerator before GST was added is $13,000.

~Learn with Lenvy~

The relationship shown in the scatterplot can be
linearized and modeled by the equation:In(Balance) = 3.2189 +0.1(Time)
Based on this information, approximately how much
does the model predict the account balance to be after
25 years of savings?
O $6,000
O $305,000
O $400,000
O $523,000

Answers

Answer: it’s $305,000

Step-by-step explanation:

correct on ED2022

Answer:

B

Step-by-step explanation:

I just got it right

Turn the algebraic expression into a verbal expression:

8p+5r

How would you say that writing it out mathematically speaking?

Answers

8 times a number p plus 5 times a number r

The length of a rectangle is units greater than its width. If the width is w, which expression gives the perimeter of the rectangle in terms of its width?
A. 4w + 3
B. w – 3
C. 5w
D. 6w + 4
( NO LINKS) Please (hurry please!!!)

Answers

Answer: its 5w

Step-by-step explanation:

a circular pool has a circumference of 28 feet what is the radius of the pool in feet

Answers

Answer:

The formula for circumference of s circle is pi x diameter.

If the circumference is 28 we can divide it by pi to get the Diameter.

28/ pi = 8.9126768131461388030574907488608042739297 rounded to 8.91 (2dp)

The radius is half of the diameter, so this means 8.91 / 2 = 4.46 ft (rounded to 2dp)

3 x + 5 = 20 is it 15 , 25 or 5

Answers

Answer:

Today: Monday, 12 October 2020

Hour: 09.08 WIB (in Indonesian)

_________________________

3x + 5 = 20

3x = 20 - 5

3x = 15

x = 15/3

x = 5

Answer:

the answer is 5

Step-by-step explanation:

you subtract 5 from both sides and you get 3x=15 you divide and you get 5

Which expression is equivalent to log3(x 4)? log3 – log(x 4) log12 logx log3 log(x 4) startfraction log 3 over log (x 4) endfraction

Answers

Option three [tex]\rm log3+log(x+4)[/tex] is the equivalent to the logarithm expression [tex]\rm log3(x+4)[/tex]

It is given that logarithm expression is  [tex]\rm log3(x+4)[/tex]

It is required to simplify the above equation.

What is Logarithm?

It is another way to represent the power of numbers and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b=c\\\rm log_ac=b[/tex]

We have logarithm expression:

[tex]\rm log3(x+4)[/tex]

We know the log property that we can split a logarithm into two logarithms if it contains the product of two numbers ie.

[tex]\rm logxy=logx+logy[/tex]

By using this property we get:

[tex]\rm =log3(x+4)\\\rm = log3+log(x+4)[/tex]

Because 3 and (x+4) are two different numbers, not (x+4).

Thus, option three [tex]\rm log3+log(x+4)[/tex] is the equivalent to the logarithm expression [tex]\rm log3(x+4)[/tex]

Learn more about the Logarithm here:

brainly.com/question/163125

Answer:

Step-by-step explanation:

optin three is the answer i have took the test                                                     (Which expression is equivalent to log3(x + 4)?

log3 – log(x + 4)

log12 + logx

log3 + log(x + 4)

StartFraction log 3 Over log (x + 4) EndFraction)

what is the answer to 8÷2(2+2)?​

Answers

Answer:

16

Step-by-step explanation: parenthesis first (2+2)=4

then division 8/2=4

then multiply 4x4=16

Answer:

16

Step-by-step explanation:

8÷2(2+2)

(2+2)

8÷2(4)

8÷2

4(4)

16

I need help with percentages

Answers

Answer:

3a. 7.2

3b. 0.9

4a. 7.2

4b. 2.4

5a. 104

5b. 260

hope this helps, everything in bold is the correct answer,

have an awesome day, -TJ

Answer:

3.a. 36

b. 4.5

4.a. 7.2

b. 2.4

5.a. 104

b. 260

Step-by-step explanation:

100/20 = 5

18 x 5 = 90 (100%)

18 x 2 = 36

18/4 = 4.5

14.4/2 = 7.2

7.2/3 = 2.4

52 x 2 = 104 (100%)

(195/3) 4 = 65 x 4

65 x 4 = 260 (100%)

The Cohen family uses up a 1/2 -gallon jug of milk every 3 days. At what rate do they drink milk?

Answers

Answer:

1 gallon every 6 days

Step-by-step explanation:

To obtain a whole-number ratio, we multiply the 1/2 gallon by two. Since we are doing that, we should multiply the 3 days by two also.

#6 find the slope in the graph MULTIPLE CHOICE

Answers

I'm assuming problem 6 is the graph on the right.

If so, then the slope is 1/2

Start at a point like (0,-1) which is the y intercept. Move up 1 and to the right 2 to arrive at (2,0) which is the x intercept.

The movement pattern "up 1, right 2" determines the slope directly

slope = rise/run = 1/2

rise = 1 = go up 1

run = 2 = go to the right 2

------------------------------

You could also pick two points from the blue line, then use the slope formula. If we picked (0,-1) and (2,0), then

m = (y2-y1)/(x2-x1)

m = (0-(-1))/(2-0)

m = (0+1)/(2-0)

m = 1/2

The slope for this question is 1/2

Elena has $225 in her bank account. She takes out $20 each week for w weeks. After w weeks she has d dollars left in her bank account.

Answers

Answer:

After 11 weeks she has 5 dollars left in her bank account

Step-by-step explanation

I divided 225 ÷ 5 without going to the end of the operation so the rest was 5 dollars.

Use the leading coefficient and degree of the polynomial function f(x) = x3 – 7x2 + 10x to determine the end behavior of its graph. Select all the correct statements. A. As x → ∞, y → ∞. B. As x → ∞, y → −∞. C. As x → −∞, y → ∞. D. As x → −∞, y → −∞. E. As x → ∞, y → 0.

Answers

Given:

The function is

[tex]f(x)=x^3-7x^2+10x[/tex]

To find:

The end behavior of its graph.

Solution:

We have,

[tex]f(x)=x^3-7x^2+10x[/tex]

Here, leading coefficient is 1 which is positive and degree of function is 3 which is odd.

For odd degree and positive leading coefficient, the end behavior is

[tex]f(x)\to \infty\text{ as }x\to \infty[/tex]

[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]

Using this, we get

[tex]\text{As }x\to \infty, y\to \infty[/tex]

[tex]\text{As }x\to -\infty, y\to -\infty[/tex]

Therefore, the correct statements are A and D.

We want to study the end behavior of the given polynomial.

The two correct statements are A and D.

As x → ∞, y → ∞As x → −∞, y → −∞

The polynomial is:

f(x)  = x^3 - 7*x^2 + 10*x.

We can see that the degree of this polynomial is odd, this means that the behavior on the negative side is opposite to the one in the positive side.

In this case, the leading coefficient is one, so it is positive. This will mean that, for large positive values of x, f(x) will be positive.

For large (in absolute value) negative values of x, f(x) will be negative.

Then the end behavior is given by:

As x → ∞, y → ∞As x → −∞, y → −∞

So the two correct statements are A and D.

If you want to learn more, you can read:

https://brainly.com/question/22723521

Determine whether the graph table or equation represents a linear nonlinear function.

Y=x(x+3)

Answers

Answer:

nonlinear

Step-by-step explanation:

[tex]x(x + 3) = {x}^{2} + 3 \\ \: it \: will \: be \: a \: parabola \: because \: of \: the \: {x}^{2} [/tex]

4x + 3y = 6 3x – 5y = 19

Answers

Answer:

my anawer na po eh 19 marong gento=eh

please solve quickly ​

Answers

Answer:

x=12

Step-by-step explanation:

AB/FE=BC/EC

x/6= 5+5/5

x/6=10/5

x=6(2)

x=12

~

Plsss i need this today asap im giving 30 points
evaluate each expression.
1. 80 - 4 to the power of 2 divide 8
2. 92.3 - (3.2 divide 0.4) x 2 to the power of 3
3. [(2 to the power of 3 x 2.5 divide 1/2)] + 120
4. [(2 x 10 to the power of 0) divide 1/3 + 8

Answers

Step-by-step explanation:

1.

(80-4)²÷8

(76)²÷8

5776÷8

722

2.

92.3-(3.2÷0.4)*2³

92.3-8*2³

92.3-8*8

92.3-64

28.3

3.

[(2³*2.5÷1/2)]+120

(8*5)+120

40+120

160

4.

(2*10⁰)÷1/3+8

(2*1)÷1/3+8

2÷1/3+8

6+8

14

Wishing Success

If two equations are 3x + 2y = 14; 5x + 3y = 12, then the value of
5x – y is

Answers

Answer:

-124

Step-by-step explanation:

3x + 2y = 14 (×3) → 9x + 6y = 42

- → x = -18

5x + 3y = 12 (×2) → 10x + 6y = 24

3(-18) + 2y = 14

-54 + 2y = 14 → 2y = 14 + 54 = 68 → y = 68/2 = 34

5x - y = 5(-18) - 34 = -90 - 34 = -124

What is the answer to this?

Answers

Answer:

its c

Step-by-step explanation:

A x B = ab

A x C = ac

A x D = ad

(ab-ac-ad)

tan^2(x) × cos^2(x) = 1 - cos^2(x)

Answers

Answer:

true

Step-by-step explanation:

Answer: True

Step-by-step explanation:

[tex]\tan ^2\left(x\right)\cos ^2\left(x\right)=1-\cos ^2\left(x\right)[/tex]

[tex]\mathrm{Manipulating\:left\:side}[/tex]

[tex]\tan ^2\left(x\right)\cos ^2\left(x\right)[/tex]

[tex]\mathrm{Use \ the \ basic \ trigonometric \ identity \ \:tan\left(x\right)=\frac{sin\left(x\right)}{cos\left(x\right)}}[/tex]

[tex]=\cos ^2\left(x\right)\left(\frac{\sin \left(x\right)}{\cos \left(x\right)}\right)^2[/tex]

[tex]=\frac{\sin ^2\left(x\right)}{\cos ^2\left(x\right)}\cos ^2\left(x\right)[/tex]

[tex]=\frac{\sin ^2\left(x\right)\cos ^2\left(x\right)}{\cos ^2\left(x\right)}[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:\cos ^2\left(x\right)[/tex]

[tex]=\sin ^2\left(x\right)[/tex]

[tex]\mathrm{Use \ the \ Pythagorean \ identity \ \cos ^2\left(x\right)-\sin ^2\left(x\right)=1 \rightarrow \sin ^2\left(x\right)=1-\cos ^2\left(x\right)}}[/tex]

[tex]=1-\cos ^2\left(x\right)[/tex]

[tex]1-\cos ^2\left(x\right) =1-\cos ^2\left(x\right)[/tex]

Left side = right side

Therefore, the identity is true

What vocabulary word defines the part in red?
Y + 5x - 10
variables
constant
coefficient
terms

Answers

Answer: variables

Letters can represent any number, therefore it varies, thus the name “variable”

Which whole number property is represented?

10 × 4 = 4 × 10

Identity Property of Multiplication
Zero Property of Multiplication
Commutative Property of Multiplication
Associative Property of Multiplication

Answers

Answer:

Associative Property of Multiplication

Step-by-step explanation:

Even though the Associative Property usually means adding or subtracting, under these circumstances, it can be used with multiplication.

PLEASEEEE HELP ME I NEED TO SHOW MY WORK TOO HELP

Answers

Answer:

x = -2
y = 3

Step-by-step explanation:

[tex]-4x-2y=2\\ -4x+y=11[/tex]

Subtract the two equations

[tex]-4x-2y-(-4x+y)=2-11[/tex]

Remove parentheses

[tex]-4x-2y+4x-y=2-11[/tex]

Cancel one variable

[tex]-2y-y=2-11[/tex]

Combine like terms

[tex]-3y=2-11[/tex]

Calculate the sum or difference

[tex]-3y=-9[/tex]

Divide both sides of the equation by the coefficient of variable

[tex]y=\frac{-9}{-3}[/tex]

Determine the sign for multiplication or division

[tex]y=\frac{9}{3}[/tex]

Cross out the common factor

[tex]y=3[/tex]

Substitute into one of the equations

[tex]-4x+3=11[/tex]

Rearrange variables to the left side of the equation

[tex]-4x=11-3[/tex]

Calculate the sum or difference

[tex]-4x=8[/tex]

Divide both sides of the equation by the coefficient of variable

[tex]x=-\frac{8}{4}[/tex]

Cross out the common factor

[tex]x=-2[/tex]

The solution of the system is

[tex]x=-2\\ y=3[/tex]

I hope this helps you

:)

Mai is filling her fish tank. Water flows into the tank at a constant rate.



Do not include units (gallons) in your answer.


I got 25 and 40 but I looked it up how do you get that answer

Answers

Ok so the consent rate is 5 and 8

ILL GIVE BRAINIEST TO WHOEVER IS CORRECT!! PLEASE HELP ASAP!!
This is page 1

Answers

Answer:

Step-by-step explanation:

dilation of 1.5 about the origin
G(-2, 0), H(-1, 3), I(3, -1), J(-1, -2)

Answers

Answer:

Dilation is a transformation, that stretches or shrinks the original figure presented on the grid based on the scale factor. Included here are umpteen printable worksheets to help 8th grade and high school students hone in on finding the scale factor, identifying the dilation type, determining the new coordinates and drawing the dilated shapes with the center as origin.

Step-by-step explanation:

Question 3
1 p
The perimeter of the triangle below is 27 cm. Find the measure of the shortest and the
longest sides.
X
2x
3x – 3

Answers

Answer:

Measure of the shortest side is 5 cm

Measure of the longest side is 12 cm

Step-by-step explanation:

Given:

Perimeter of ∆ = 27 cm

Side lengths of ∆: x, 2x, and 3x - 3

Required:

Measure of the shortest side and measure of the longest side.

SOLUTION:

Sum of all sides of the ∆ = Perimeter

[tex] x + 2x + (3x - 3) = 27 [/tex]

Solve for x

[tex] x + 2x + 3x - 3 = 27 [/tex]

Collect like terms

[tex] 6x - 3 = 27 [/tex]

Add 3 to both sides

[tex] 6x = 27 + 3 [/tex]

[tex] 6x = 30 [/tex]

Divide both sides by 6

[tex] x = \frac{30}{6} [/tex]

[tex] x = 5 [/tex]

Length of each side of the ∆:

x = 5 cm

2x = 2(5) = 10 cm

3x - 3 = 3(5) - 3 = 15 - 3 = 12 cm

Measure of the shortest side is 5 cm

Measure of the longest side is 12 cm

PLS ACTUALLY HELP IT'S DUE TN

Answers

Answer:

Average rate of change = -4

Step-by-step explanation:

Given:

f(x) = x² + 7x + 10

-8 ≤ x ≤ -3 or [-8, -3] in interval notation

Average rate of change of the function can be solved using the formula:

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( b \right) -f \left( a \right) }{ b-a }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ -3 - (-8) }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ -3 + 8 }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ 5 }[/tex]

Substitute x = -3 to the given function for f(-3) and x = -8 for f(-8)

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ f \left( -3 \right) -f \left( -8 \right) }{ 5 }[/tex][tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ { \left[( -3 \right) }^{ 2 } +7 \left( -3 \right) +10]- { \left[( -8 \right) }^{ 2 } +7 \left( -8 \right) +10] }{ 5 }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ [9-21+10]-[64-56+10] }{ 5 }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ [-2]-[18] }{ 5 }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = \dfrac{ - 20 }{ 5 }[/tex]

[tex]\mathrm{Average\:rate\:of\:change} = {-4 }[/tex]

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