The Home Depot has two special lawnmowers for sale this year. The electric mower costs $300 each, and the gas-powered mower costs $450 each. The store has room for 25 total mowers, and the store has to order at least $6000 worth of mowers to start the sale.

Answers

Answer 1

Answer:

300a + 450b ≤ 6000

Step-by-step explanation:

Given:

Cost of electric mower = $300

Cost of gas mower = $450

Total number of mower = 25

Cost of total mower is at least = $6,000

Find:

Number of each mower equation

Computation:

Number of electric mower = a

Number of gas mower = b

So,

Equations

a + b ≤ 25 ........ Equation 1

300a + 450b ≤ 6000 .......  Equation 1


Related Questions

HELP ASAP WILL GIVE BRAINS LIST


jack and clint are running backs on rival college football teams. the table below shows the number of yards they have ran in each of their first five games of a season. how many yards would clint need to run in his next game to average the same number of yards as jack?

Answers

Answer:

Clint would have to run 127 yards next game to average the same number of yards as Jack.

Step-by-step explanation:

First, we find the boys' averages by adding all their yards and then dividing by the number of games.

For Jack, we get 490 yards in total, which we divide by 5, the number of games. We get a 98 yard average.

For Clint, we get 461 yards in total, which we divide by 5, the number of games. We get a 92.2 yard average.

We know Clint wants to average 98 yards at the end of the next game. That would make 6 games total. We can multiply 98 x 6 to get the total number of yards for a 98 yard average in 6 games. We get 588 yards in total. Clint already ran 461 yards in total, so we can subtract that from 588. We have 127 yards left. We now know that Clint needs to run 127 yards in the next game for a 98 yard average.

The number of yards that client needs to run in his next game to average the same number of yards as jack will be 127.

What is mean?

The mean is the average of a data set. Mean gives us an idea of that how small the amount of overall data have.

In other words, the mean is the foundation of the deviation of data from all data sets.

Mean = sum of data / Number of data

The average of Jack = (123 + 87 + 108 + 80 + 92)/5 = 98

The average of Clint = (88 + 101 + 96 + 92 + 84)/5 = 92.2

To make this average 98 let's say Clint's score in the next game is x.

Mean = (88 + 101 + 96 + 92 + 84 + x)/6 = 98

(92.2 x 5 + x) = 98 x 6

x = 127

Hence"Clint needed to add 127 to be mean as same as Jack".

For more about the mean,

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Find 12÷3/5 type your response

Answers

Answer:

20

Step-by-step explanation:

60 / 3 = 20. the answer is 20

WILL




GIVE


BRAINLIST ANSWER

Answers

Answer:

22 is the range for the data set.

stay safe healthy and happy.

22:) hope this helps

I'M ON A TIMER!!!!

Juan asked every sixth grade student in his class what they enjoy doing most. Find the probability a student enjoys playing outside the most

Playing inside: 16

Playing outside: 8

Answers

Answer:

the answer is

8:24

Step-by-step explanation:

hope it helps

I need the answers for this question please

Answers

its triangle and 7.3 and 23.7 hope this helps

plz help i will give brainliest!! and if you post a link im going to report you

Answers

Answer:

hey, sorry i cant see the image so whats the problem here? i would gladly help!

Step-by-step explanation:

The answer for this would be (3,7)

PLEASE Hurry If f(x)=7x2−2 and g(x)=2(x−7)2 , which is an equivalent form of f(x)−g(x) ? A 5x2−100 B 5x2+28x−100 C 5x2+14x−51 D 3x2+56x−198

Answers

Answer:

5x^2 +28x - 100

Step-by-step explanation:

f(x)=7x^2−2 and g(x)=2(x−7)^2

First simplify g(x)

g(x) = 2 ( x-7)(x-7) = 2( x^2 - 7x -7x +49) = 2(x^2 -14x +49) = 2x^2 -28x +98

Now f(x) - g(x)

f(x) - g(x) = 7x^2−2 - (2x^2 -28x +98)

Distribute the minus sign

            = 7x^2−2 - 2x^2 +28x -98

Combine like terms

            = 5x^2 +28x - 100

I WILL GIVE BRAINILY PLSSSSS HELPLPPP
Which linear function is increasing at a greater
rate? Explain your reasoning.
Linear Function 1 has an x-intercept of (4, 0) and
a y-intercept at (0, 22)
Linear function 2 includes the points in the table
below

Answers

Answer:

Linear function 2

Step-by-step explanation:

If Linear function 1 has an x-intercept of 4,0 and a y-intercept of 0,22

It's a negative equation, Its not increasing Its decreasing.

So it must be Linear function 2

answer:
the second function

step-by-step explanation:
“increasing at a greater rate” is the slope
Function 1 has points at (4, 0) (0, 22)
to find the slope it would be
m = y2 - y1 / x2 - x1
m = 22 - 0 / 0 - 4
m = 22 / -4
m = -5.5
Function 2 we can take any two points from the table
I’m going to take (1, 0) and (3, 1)
m = 3 - 1 / 0 - 1
m = -2 / -1
m = 2 / 1
m = 2
because function 1 is negative function 2 would be increasing at a greater rate.

2Y=5XSquared
I don’t have the power symbols on my phone.
How do I solve for Y?

Answers

Divide both sides by two.

Please HELP me someone please please

Answers

Answer:

x = 59°

Step-by-step explanation:

The square symbol shown in the angle means that it is 90°. We can say that the angle x - 7 and 38 add up to 90 because of that. We can set up an equation to model the situation:

x - 7 + 38 = 90

x + 31 = 90

x = 59°

100 POINTS HELP!
I WILL GIVE BRAINLIEST TO THE BEST ANSWER
FAKE ANSWERS WILL BE REPORTED

Answers

Answer:

Solution given:

AB parallel BH parallel CH

1.

In triangle ∆AFD ,∆BGD ,∆CHD

<AFD=<BGD=<CHD

[being corresponding angle]

<DAF=<DBG=<DCH

[being corresponding angle]

<D is common for all.

So

∆AFD ~∆BGD ~∆CHD

[By A .A .A. axiom]

Triangle ABC is graphed in the coordinate plane with vertices A(1, 1); B(3, 4) and C(- 1, 8) as shown in the figure.

Answers

Answer:

(-4,-2)

Step-by-step explanation:

B(3,4)

x=3 , y=4

(3-7,4-6)

(-4,-2)

Transformation involves changing the position of a shape.

The coordinates of B after the translation is (-4,-2)

The vertices are given as:

[tex]\mathbf{A =(1,1)}[/tex]

[tex]\mathbf{B =(3,4)}[/tex]

[tex]\mathbf{C =(-1,8)}[/tex]

The translation rule is given as:

[tex]\mathbf{(x-7,y-6)}[/tex]

So, the coordinates of B' is calculated using:

[tex]\mathbf{(x,y) \to (x-7,y-6)}[/tex]

This gives

[tex]\mathbf{(3,4) \to (3-7,4-6)}[/tex]

[tex]\mathbf{(3,4) \to (-4,-2)}[/tex]

Rewrite as:

[tex]\mathbf{B' = (-4,-2)}[/tex]

Hence, the coordinates of B after the translation is (-4,-2)

Read more about translations at:

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WILL MARK BRAINLIEST!!!:)
What is the value of x in this triangle?
58
32
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth.
x=

Answers

Answer:

a^2 + b^2 = c^2

a^2 + 32^2 = 58^2

a^2 + 1024 = 3364

a^2 = 2340

a = 48.37

Step-by-step explanation:

Answer:

x = 33.49

Step-by-step explanation:

I took the the test and got this answer, sorry for the not so detailed explanation

have a decent day

The expanded form of 3(4a) is:

Answers

Answer:

12a

Step-by-step explanation:

Use the distributive property and distribute 3 into 4a.

The expanded form of the expression 3(4a) is, 12a.

What are the basic properties of arithmetic laws of operations?

There are three types of basic arithmetic laws of operation.

Commutative law for addition and multiplication states,

a + b = b + a.

a×b = b×a.

Distributive law states,

a(b ± c) = ab ± ac.

Associative law states,

a + (b + c) = (a + b) + c.

Given, An expression 3(4a),

We know in algebra we write multiplications a×b as, ab or a.b.

Therefore, the expanded form of the expression 3(4a) is,

= 3×4×a.

= 12×a.

= 12a.

learn more about arithmetic laws here :

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Simplify 5(2y+6)+(-24y)

Answers

Answer:

-14y + 30

Step-by-step explanation:

Tell me if I am wrong but I think this is it.

Answer:

-14y+30

Step-by-step explanation:

Hope this helpss

A new car is purchased for $30,000 and over time its value depreciates by one half
every 5 years. What is the value of the car 11 years after it was purchased, to the
nearest hundred dollars?

Answers

Answer:

Step-by-step explanation:

6600

The car is about $6529.12 eleven years after it was bought.

What is an exponent?

The formula below can be used to determine a car's value after a particular number of years if its value depreciates by half every five years:

[tex]\rm P=P_{\circ} \left ( \dfrac{1}{2} \right)^{x/5}[/tex]

Here, x is how long ago the car was bought.

With x = 11 and a starting value of $30,000, this calculation yields:

[tex]\rm P=$30,000 \times \left ( \dfrac{1}{2} \right)^{11/5}\\[/tex]

Simplify the equation, then we have

P = $30,000 x 0.2176

P = $6529.12

The car is about $6529.12 eleven years after it was bought.

More about the exponent link is given below.

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Suppose you conduct a hypothesis test based on a sample where the sample size is n = 50, and arrive at a p-value of 0.08. You then refer back to your notes and discover that you made a careless mistake, the sample size should have been n = 500. Will your p-value increase, decrease, or stay the same? Explain.

Answers

Answer:

Decrease

Step-by-step explanation:

The Pvalue is used to measure the level or decide if a particular research claim is significant or not. The sample size also plays a role in the Pvalue of a statistical analysis. Larger sample sizes tend to prove the significance of the claim. Using the Pvalue approach, the significance of a claim is examined by the and established by small P values. Therefore, an initial Pvalue of 0.08 obtained using a sample size of 50. The Pvalue will most likely witness a further decrease in the Pvalue if the sample size is increased to 500 as this would move the claim closer to being significant.

pls help and stay tuned bcs their will be more questions bcs i just not that smart
._.

Answers

Answer:

I beileve it is Y.

Step-by-step explanation:

28518
43600
兄YTON
g3627​

Answers

please be more specific.

Solve the equation 5+N =125 where n = 14

Answers

Answer:

this question doesn5t make sence

Step-by-step explanation:

Answer:

please explainn

Step-by-step explanation:

Help pls of I get the right answer I'll give briliantest ​

Answers

Answer:

the answer is 2450

Step-by-step explanation:

because you find the area of one which is 1225, then multiply it by 2 because there are 2 squares.

At a local bodega, the cost of a banana at the corner store is $1.50, and the cost of a
bottle of soda is $1.20. What would it cost to get 5 bananas and 2 bottles of soda?
What would it cost to get x bananas and y bottles of soda?

Answers

Answer:

$7.5

Step-by-step explanation:

4 bottles cost = $5

Then 1 bottle costs:

$5/4 = $1.25

Then 6 bottles cost:

$1.25*6 = $7.5

Plz help me well mark brainliest if correct!.,

Answers

Answer: The perimeter is 20 cm

Step-by-step explanation: The top and bottom are same length, so 6+6, and the sides are the same length, so 4+4 don’t forget it’s cm and it becomes 20 cm.

PERIMITER = ADDING ALL SIDES

AREA = MULTIPLYING

Explain why the data display is misleading and how it affects your perception of this data

PLZ HELP ILL GIVE BRAINLISEST IM DEPRTATE NDNAJD

Answers

Because for every items sold the difference is 1 and for 3-6 which has the most sold the difference is 3

Two functions are shown below.



f(x) = 1/3 (3)^x


g(x) - 2x + 4


What is the largest integer value of x such that f(x) < g(x)?

Answers

Answer: 3

Step-by-step explanation:

Given

[tex]f(x)=\dfrac{1}{3}3^x[/tex]

[tex]g(x)=2x+4[/tex]

For [tex]f(x)<g(x)[/tex] to be true, the domain is given by observing the graph of two i.e. [tex]x\in (-1.981,3.117)[/tex]. In this range [tex]g(x)[/tex] is greater than [tex]f(x)[/tex].

From the above domain largest integer that can satisfy the condition is 3.

Please help me I don’t get this !

Answers

Answer: Independent

Step-by-step explanation: I think this is probability..I assume it's probability right?

Is Y=10x proportional

Answers

Answer:

Yes

Step-by-step explanation:

Given that

Y = 10x

we need to find that whether it is a proportional or not

So here we can say that proportional relationship would be expressed in the form of

y = kx

And, k represent the constant

Therefore

y = kx equivalent to Y = 10x

Both the expression is same

Therefore it is proportional

Solve for the value of a

Answers

Answer:

a= 90 i think

hope this helped

(b) Solve this problem
9-X= 2

Answers

Answer:

X=7

Step-by-step explanation MARK AS BRAINLIEST!!

If the lengths of male skis and female skis are used to construct a​ 95% confidence interval for the difference between the two population​ means, the result is 14.32cm < μ1 - μ2 < 21.95 ​cm, where lengths of male skis correspond to population 1 and lengths of female skis correspond to population 2. Express the confidence interval with the lengths of female skis being population 1 and lengths of male skis being population 2.

a. - 14.32 cm <μ1−μ2<−21.95
b. -21.95 cm <μ1−μ2<−14.32
c. 14.32 cm <μ1−μ2<21.95
d. This cannot be determined without having the original data values.

Answers

Answer:

c

Step-by-step explanation:

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