A retailer paid $33.00 for a lamp. What price should she sell the lamp for if she wants to make a 35% profit?

Answer:

Josie: 100 + 5x

Allanah: 10 + 20x

As stated in my last response, x means the unknown variable of the amount of times they will repeat the process. Now, given that the unknown variable is 4, just plug it into the equation.

Josie: 100 + 5(4)

Allanah: 10 + 20(4)

Josie: $120

Allanah: $90

Josie clearly has more money (by then the end of 4 weeks)

Now, for the last question,

Josie: 100 + 5x

Allanah: 10 + 20x

If we set these equations equal to each other, x will equal 6

100 + 5x = 10 + 20x

This means after 6 weeks they will have the same amount of money.

Answer:

-28

Step-by-step explanation:

all you do is plug in 7 to x

7*-4=-28

Answer:

Y=-28

Step-by-step explanation:

Substitute 7 for x

Y=-4(7)

Multiply 7 by 4

Make sure the answer is negative

Step-by-step explanation:

step 1. The GCF is the highest factor that goes into both terms in the expression.

step 2. 24x and 60y have factors of 2, 2, 2, 3 ,x and 2, 2, 3, 5, y.

step 3. the common factors are 2, 2, 3.

step 4. the GCF is 2(2)(3) = 12.

Answer:

12

Step-by-step explanation:

THough it may look like you need variables at the end, you dont. Its just a number. So its just plain and simply, "12"

Answer: When graphing a linear inequality on a number line, use an open circle for "less than" or "greater than", and a closed circle for "less than or equal to" or "greater than or equal to". Graph the solution set of: -3 < x < 4 The solution set for this problem will be all values that satisfy both -3 < x and x < 4.

Step-by-step explanation:

A geometric series that results in a sum of -69,905 include the following: B. ∑ -1/5(4)^k.

Also, the sum of a geometric series is given by this mathematical expression:

[tex]S=\frac{a_1(1-r^n)}{1-r}[/tex] or [tex]\sum^{n-1}_{k=0}a_1(q)^k[/tex]

Where:

When the common ratio r = 4, n = 10, and the first term (a₁) = -1/5, we have the following:

[tex]\sum^{10-1}_{k=10} \frac{-1}{5} (4)^{10} = -69,905[/tex]

In conclusion, a geometric series whose sum would result in a sum of -69,905 is given by the second expression.

Read more on common ratio here: brainly.com/question/28762774

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Answer:

The slope is 25 and the y-intercept is 100

Step-by-step explanation:

With linear equations (y = mx + b), m is always the slope, which, in this case, is 25. It could also be written as [tex]\frac{25}{1}[/tex], although it's not necessary here

B is always the y-intercept, which is 100 here

Answer: The answer would be x = 19/3, 5/3

Step-by-step explanation:

Since we are finding the x intercepts, we must set the equation to equate 0. So:

0 = 3 |x-4| - 7

Then, we want to simplify the right side so it is just the absolute value, so lets start by adding 7 to both sides.

0 = 3 |x-4| - 7

+7              +7

7= 3 |x-4|

Now we divide both sides by 3.

7= 3 |x-4|

3        3

7/3 = |x-4|

Now, due to the properties of absolute value, we must solve this twice, since absolute value always leads to a positive value, we want to set up one equation where 7/3 is positive and one where it is negative.

7/3 = x-4        -7/3 = x-4

add 4 to both sides

7/3 = x-4        -7/3 = x-4

+4      +4          +4     +4

Then, you get your two x values

x= 6.333... or 19/3 AND x = 1.66666 or 5/3

Answer:

4 popcorn

8 chips

Step-by-step explanation:

4 popcorn= $12

8 chips= $18

12+18=30

Answer:

x=24

Step-by-step explanation:

The opposite angles are equal as per certain theorems.

3x-1=71

3x=72

x=24

Answer:

Answer is D (2 drinks and 5 hotdog's)

Step-by-step explanation: 1st answer is over as it is $19.25 for only the hotdogs. 2nd is $18.50 which is a little over. 3rd one is $22.25. And the forth one is $16.75 which is perfect because he cant buy anything else with the remainder of his money.

You can use trial and error for 3 drinks and 2 drinks and can see how many hot dogs are available for Jacob to buy in $18 budget.

Jacob, with $18 dollars for food, under given conditions, can buy:

Option D: 2 drinks and 5 hot dogs.

This can be modeled by mathematical expression with use of variables, and inequality.

Suppose that you can by [tex]x[/tex] drinks and [tex]y[/tex] hot dogs, then their amount should not exceed $18 and they should try to use that $18 as much as they can.

Since 1 drink costs $1.5 and 1 hot dog costs $2.75, thus,

[tex]1.5x + 2.75y \leq18[/tex]

For 2 drinks:

Since x = amount of drinks = 2, thus from the obtained inequality, we have:

[tex]1.5x + 2.75y \leq 18\\1.5 \times 2 + 2.75y \leq 18\\2.75y \leq 18 - 3\\y \leq \dfrac{15}{2.75}\\\\y \leq 5.555...\\y = 5[/tex]

We took y = 5 since it is closest integer less than 5.55... since we cannot buy drink or hot dog in decimal points generally and cannot spend more than $18

Thus, if Jacob buys 2 drinks, then he can by 5 hot dogs at max.

For 3 drinks:

Since drinks' amount increased, then hot dogs amount will have to decrease to keep them together under $18. And since in 2 drinks Jacob could by 5 hot dogs, thus, now he will have to buy less than 5 hot dogs, which are not given in options.

Thus,

Jacob, with $18 dollars for food, under given conditions, can buy:

Option D: 2 drinks and 5 hot dogs.

Learn more about inequalities here:

https://brainly.com/question/11901702

Answer:

A 12 pound baby is equivalent to 5.4kg, while a watermelon weighs 7.5kg, which is obviously larger than 5.4, so the watermelon weights more.

Step-by-step explanation:

To start off, we should convert the numbers in the same units. The question has told us that 1 pound is around 0.45kg. So let's do 12  * 0.45 which gives us 5.4kg. We already know that a watermelon weighs 7.5 kilograms, so from this we know that the watermelon weighs more.

Answer:

1 time

Step-by-step explanation:

8 x 1 = 8

8 x 2 = 16

Its bigger than 15.

Answer:

3/4 x = 2/3

If we multiply both sides by 4/3 we will have

x = 2/3 × 4/3 = 8/9 hour

Answer:

1000. Then 1000 divided by 324 = 3.08 cubic yards.

Step-by-step explanation:

Answer:

0.8585 cubic yards

Step-by-step explanation:

inches-->yeards 2/36 in

15.453*2/36 = 0.8585 (tried volume formula)

I figured if the derivative represented the area then x^2*x = x^3 so that would represent the volume of mulch needed.

Answer:

So the answer is 12cm square

Step-by-step explanation:

Base is 6cm and hight is 4 so 6×4 is 24÷2 is 12

Answer:

y=-2x+2

Step-by-step explanation:

Inverse of -2x+2 {x-2}{2}

Answer:

1st is True, I'm pretty sure

Step-by-step explanation:

Answer:

f(X)=7 X=1

X=2. f(X)=14

f(X)=21. X= 3

X=4. f(X)=28

X=5. f(X)=35

just substitute in the equation

[tex]52 \times 2 = 104[/tex]

The recipe told her to add 104 g of flour

//

Proof:

[tex]104 \times 0.50 = 52[/tex]

Answer:

10 teeth must go on the driven gear

Step-by-step explanation:

Let the number of teeth be x

In order for the new product to maintain the same ratio as the old the ratio must remain the same. This means that

17:5 = 34:x

[tex]\frac{17}{5} = \frac{34}{x}\\Now\ let\ us\ cross-multiply\\17 \times x = 5 \times 34\\17x = 170\\dividing\ both\ sides\ by\ 17 \\x = \frac{170}{17} \\x = 10[/tex]

∴ 10 teeth must go on the driven gear

hence ratio = 34:10

Answer:2 1/3

Step-by-step explanation:2+5=7 3 divided by 7 equals 2 1/3

Answer:

yea

Step-by-step explanation:

Answer:

its a little hard sorry I dont know

[tex]175.50 \times 2 = 351.00[/tex]

He needs to pay $351.00 for 6 pairs of shoes.

Step-by-step explanation:

let's use ratio

3/ 175.5. as 6/X

cross multiply and solve for X

[tex] \frac{3 }{175.5} = \frac{6}{x} [/tex]

3X = 1053......divine both sides by 3 to solve for X

X = 351.

James would pay $351 for 6 pairs of shoes.

or you should have just multiply 175.5 by 2 because 6 pairs us the double of 3.

Answer:

We cannot answer this as there are no y-values given

Step-by-step explanation: