Larry hos
a $100 gift card to spend at a toy store.
He spends the same amount
every month on toys
When will be hove So left?
Explain how you know

Let the length of the side of the square being cut out equal x

The length of the box would be 4.5 - 2x

The width of the box would be 3 -2x

Volume = (4.5 -2x) * (3-2x) * x

Simplify to:

V = 4x^3 - 15x^2 + 13.5x

B See picture: The greatest volume would be the point of the highest curve.

x = 0.589 y = 3.565, Rounded to the nearest tenth x = 0.6

Process: entered the equation from A into Desmos. The Y value would be the volume, so found where the volume was the highest and then found the related x value.

C) X is the side length of the corner squares being cut out, which would also be the height of the box. The Y value is the volume of the box.

Answer:

DB = 20 cm

Step-by-step explanation:

Given:

║AB = 12 cm (represented by 'a' leg)

║AD = 16 cm (represented by 'b' leg)

║DB =  x cm (hypotenuse represented by 'c' leg)

These formulas are used to solve for a missing side length:

║a = [tex]\sqrt{(c^2 - b^2)}[/tex]

║b = [tex]\sqrt{(c^2 - a^2)}[/tex]

║c = [tex]\sqrt{(a^2 + b^2)}[/tex]

Because we are solving for side length c, we will be using the third formula.

║c = [tex]\sqrt{(a^2 + b^2)}[/tex]

║c = [tex]\sqrt{(12^2 + 16^2)}[/tex]

║c = [tex]\sqrt{(144 + 256)}[/tex]

║c = [tex]\sqrt{400}[/tex]

║c = 20

Therefore, the value for side length DB should be:

║DB = 20 cm

Answer:

102.9

Step-by-step explanation:

Area of a triangle is A=(1/2)(h)(b) where h is the height and b is the base.

7.35 is the height and 28 is the base

A=(1/2)(7.35)(28)

A=102.9

Answer:

c.

Step-by-step explanation:

from the expression (9 + 3i) - (-4 + i);

STEP 1: multiply (-4 + i) by the minus sign before it.

we have +4 - i as the result.

we are left now with:

9+3i+4-i.

STEP 2: grouping those with same values,

9+4+3i-i= 13+2i

Answer:

We have:

The conclusion is:

Answer:

52

Step-by-step explanation:

Answer:

idrk i'm just going to take ur points because my other account got banned for 24 hrs like bru.h ig :/

Step-by-step explanation:

"A processing machine crushes 3 1/4 kilograms of dried fruits in 3/4 minutes.

What is the rate, in kilograms per minute, at which the machine crushes dried fruits?"

All you're doing here is finding the unit rate at which the machines crushes the fruit. This boils down to dividing the amount it can crush (3 + 1/4 kg) by the time it takes to do the crushing (3/4 min):

(3 + 1/4 kg) / (3/4 min)

We can omit the units, just remember everything is measured in kilograms per minute. So we want to simplify the expression,

(3 + 1/4) / (3/4)

Write the numerator as an improper fraction:

3 + 1/4 = 12/4 + 1/4 = 13/4

(since 12 = 3*4)

Then

(3 + 1/4) / (3/4) = (13/4) / (3/4)

Multiply this by 1 = 4/4. In other words, multiply both the numerator and denominator by 4. This eliminates the fractions in either part, and you get the answer:

(13/4) / (3/4) * 4/4 = (13/4 * 4) / (3/4 * 4) = 13/3

So in one minute, the machine can crush 13/3 kg ≈ 4.333 kg of dried fruit.

Answer:

The Answer Is That "The Greatest Common Factor Of The Terms Is 1."

Step-by-step explanation:

Took The Test.

The polynomial is factorized and greatest common factor of the terms is 1

Brackets should be expanded in the following ways to factorize an expression

For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket

For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.

Given data ,

Let the polynomial be represented as A

Now , the value of A is

A = 30x² + 40xy + 51y²    be equation (1)

Now , the expression can be factorized as

The factors of 30 = 1 , 2 , 3 , 5 , 6 , 15 and 30

The factors of 40 = 1 , 2 , 4 , 5 , 8 , 10 , 20 and 40

The factors of 51 = 1 , 17 , 51

Therefore , the greatest common factor is 1

Hence , the factorized form of the equation is A = 30x² + 40xy + 51y²  

To learn more about factorization click :

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Answer:

The top right net would

Hope this helps!

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

The net in option A represents the rectangular prism.

Option A is the correct answer.

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

The rectangular prism has 6 faces.

The net in option A represents the rectangular prism.

Thus,

The net in option A represents the rectangular prism.

Option A is the correct answer.

Learn more about prism here:

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Answer:

Between 20% and 80%,,,

Step-by-step explanation:

There is no way to really explain it.

Answer:

√65 feet

Step-by-step explanation:

Using the pathagoryoes theroem (the equation in your picture) we have

4²+7²=c²

simplify to

16+49=c²

65=c²

√65=c

Answer:

-14

Step-by-step explanation:

step 1:

Subtract 11 from both sides.

y+11−11<−3−11

y<−14

Answer:

y is less than -14

Step-by-step explanation:

You move all the terms to the side not containing the y. So it would be -3-11 on one side and y on the other. The sign does not change so the inequality would be y is less than -14.

Answer:

184.96

Step-by-step explanation:

V = (base × height) ÷ 3

base = pi × radius^2

2 × pi × radius = circumference

2×pi×r = 29.516

÷2 ÷2

pi×r = 14.758

÷3.14 ÷3.14

r=4.7

base= 3.14 × 4.7^2

= 69.36

V = (69.36 × 8) ÷ 3 = 184.96

Answer:

35

Step-by-step explanation:

find area of each rectangle then add

Using the Empirical Rule, it is found that the interval of hours that represents the lifespan of the middle 99.7% of light bulbs is (1390, 1810).

It states that, for a normally distributed random variable:

The middle 99.7% is within 3 standard deviations of the mean, hence:

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

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Step-by-step explanation:

Answer:

it's D I think

Step-by-step explanation:

..........

Answer:

D

Step-by-step explanation:

A line segment is a straight line that ends , the arrows mean the the ray or line dont end

Answer:

He was gone for 36 minutes

Step-by-step explanation:

Sorry if wrong

Answer:

x=10.21463052 y=  8.755647273

Step-by-step explanation:

i suggest u round.

Answer:

16

Step-by-step explanation:

add

Answer:

1/4

Step-by-step explanation:

Answer:

it would be 13.25 or A.

Step-by-step explanation:

:)

Answer: 125,000

Step-by-step explanation:

Voulme= LxWxH

             = 50x 50x50

              =125,000

Answer:

3 is the answer

Step-by-step explanation:

because x is also equals to -4. if u can see there is big circle that is blue, if that circle was empty that means does not equal, and the xs are bigger than -4 therfore the answer is option 3.

Answer:

Greater than or equal to -4

Step-by-step explanation:

Hope this helps

An outdoor summer camp offers its campers 14 activities. Campers make a 3 schedule. So, 4.6 different schedules are possible.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

An outdoor summer camp offers its campers 14 activities. Campers make a schedule for their morning, afternoon, and evening sessions.

The total number of activities = 14

The total number of schedules = 3

So, The possible different schedules will be

14 divided by 3 = 14/ 3

= 4.6

Learn more about the unitary method;

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Answer:

the answer is 101/9, in fraction it would be 11.2222..... in whole number would be 11, as mixed number would be 11 2/9

Answer:

A is the correct answer 450 cm

Step-by-step explanation:

area of base = 1/2 (7.5+ 5) × 6 = 37.5

volume = area × height

= 37.5 × 12

= 450cm³

Answer:

a) 0

b)2

Step-by-step explanation:

a) Basically, the question is asking what the x value is when the y value is at 4, which would be 0.

b) Same thing here, but with the x value is when the y value is -2.

Answer:

43.98

Step-by-step explanation:

did some quick maths

c=2

[tex]c = 2 \times \pi \times r[/tex]

Answer:

B: 12/25

Step-by-step explanation:

You have the correct answer marked. This is correct because the probability of grabbing a purple marble is 24/50 which if we divide by 2 to simplify is 12/25.