The figure below is made of 2 rectangular prisms what is the volume of this figure

Answer:

i) 3/4

ii) 1/3

iii) 1/3

iv) 5/6 cents

Step-by-step explanation:

Any ratio can be written as a fraction.

For example 3:4 can be writen as 3/4 or 14:42 as 14/42.

After you convert them to fractions you then simplify them by finding their highest common factor (HCF) and then divide both numerator and denominator by the HCF. When you cant simplify the fraction anymore, that is the fraction in its lowest terms.

Answer: 4

Step-by-step explanation:

Let the consecutive integers be x, x+1 and x+2.

There are three consecutive integers such that twice the sum of the smallest and the largest is eight more than twice the largest. This means that:

2(x + x+2) = 2(x+2) + 8

2(2x + 2) = 2x + 4 + 8

4x + 4 = 2x + 12

Collect like terms

4x - 2x = 12 - 4

2x = 8

x = 8/2

x = 4

The smallest integer in the sequence is 4

Answer:

y= 5.99(g) + 6.49(u)

Step-by-step explanation:

1) First you determine the variable in the equation $5.99, $6.49, g, and u.

2) Then analyze the equation and identify that each gold baseball trophy (g) is worth $5.99, and each uniform baseball trophy (u) is worth $6.49 each.

3) Since you are finding the total you insert a plus sign.

The expression that could represent the total cost of all of the trophies will be C = 5.99g + 6.49u

Cost of gold baseball trophies = $5.99

Cost of uniform baseball trophies = $6.49

Number of gold baseball trophies ordered = g

Number of uniform baseball trophies ordered = u

Therefore, the total cost will be:

= (5.99 × g) + (6.49 × u)

C = 5.99g + 6.49u

Therefore, the expression that could represent the total cost of all of the trophies is C = 5.99g + 6.49u

Read related link on:

https://brainly.com/question/17076311

Answer:

42

Step-by-step

do it backward starting from 8

Answer:

42

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

12x + 32 = 12x - 7

12x - 12x + 32 = 12x - 12x - 7

32 = -7

This is a false statement so the answer is A) 0.

Additionally, you can see that we have the quantity 12x on both sides but on one side, it's being added by 32 and on the other, it's being subtracted by 7. How can a quantity added by 32 be equal to the same quantity subtracted by 7? It is impossible for a real number to do so, therefore, the answer is 0.

Answer:

Hey there!

Original Equation: 12x+32=12x-7

Subtract 12x: 32=-7

32 does not equal -7, so there is no solution.

Hope this helps :)

Answer:

See below.

Step-by-step explanation:

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

because we combine like terms. You will essentially ignore the x and just do -2 + 1, which is -1. So, the answer would be -1x which is simply just -x.

To see why we can combine like terms, use the distributive property. So we have:

[tex]-2x+x[/tex]

This is the same thing as saying:

[tex]=(-2)x+(1)x[/tex]

Factor out the x:

[tex]=x(-2+1)[/tex]

Add:

[tex]=x(-1)[/tex]

And simplify:

[tex]=-1x\\=-x[/tex]

Answer:

Step-by-step explanation:

-2x + x could also be written as x - 2x, which is x(1 - 2), or -x.  Here we can rearrange the terms as we wish (commutative property).

Answer:

Water flow per week = 124 liters

Step-by-step explanation:

Given:

Water flow in 9.5 hours = 7 liters

Find:

Water flow per week

Computation:

Water flow per hour = 7 / 9.5

Hours in a week = 7 × 24 = 168 hours

Water flow per week = Hours in a week × Water flow per hour

Water flow per week = 168 × [7 / 9.5]

Water flow per week = 123.7894

Water flow per week = 124 liters

Answer:

Both works will be repeated at 840km

Step-by-step explanation:

Given

Fills Petrol = Every 84km

Change Mobil = Every 120km

Required

Determine the distance where both works are done at the same time

This solution to this question is to solve for the LCM of 84 and 120

Start by factoring 84

[tex]84 = 2 * 2 * 3 * 7[/tex]

Then, 120

[tex]120 = 2 * 2 * 2 * 3 * 5[/tex]

Then the LCM is as follows;

[tex]LCM = 2 * 2 * 2 * 3 * 5 * 7[/tex]

[tex]LCM = 840[/tex]

Hence, both works will be repeated at 840km

Answer:

C/r

Step-by-step explanation:

The ratio of the circle's circumference to its radius is 2π

Please find attached a diagram of a circle and its radius

A circle is a two dimensional figure bounded by one curved line. All the straight lines that are drawn from a certain point within it to the bounding line, are equal.

The radius of a circle is the distance from the center of a circle to its circumference.

The radius of a circle is represented by r

The circumference of a circle is the perimeter of a circle. It is the distance round a circle.

The formula for the circumference of a circle is 2πr

π = pi = 22/7

r = radius

A ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

The ratio of a circle's circumference to its radius is

2πr : r

Divide both sides of the equation by r

= 2π : 1

= 2π

To learn more about the circumference of a circle, please check : https://brainly.com/question/15677439?referrer=searchResults

Answer:

Step-by-step explanation:

The confidence interval boundaries is represented mathematically as shown below;

CI = p±E where;

p is the percentage of people surveyed

E is the margin of error

Given parameters

p = 40% = 0.4

E = 3.1% = 0.031

Required

Confidence interval corresponds to the given information.

Substituting the given parameters into the given formula:

CI = p±E

CI = 0.4±0.031

CI = (0.4-0.031, 0.4+0.031)

CI = (0.369, 0.431)

Hence the confidence interval that corresponds with the information is 0.369≤[tex]\mu[/tex]≤0.431.

Answer:

A sudents who take gym class

Step-by-step explanation:

the survey only asks for all the students enrolled in a gym class so they can compare with the data for all the students enrolled in the football team

Answer:

a

Step-by-step explanation:

Answer:

bfc = 64, afb = 126

Step-by-step explanation:

I solved in the picture

Hope this helps ^-^

Answer:

AB = 40 units

Step-by-step explanation:

Given:

AC = 6 x - 2

AB = 2 x + 12

BC = 3 x

Find:

AB

Computation:

Assume, AC is a straight line

So,

AC = AB + BC

6 x - 2 = 2 x + 12 + 3 x

6 x - 5 x = 14

x = 14

AB = 2 x + 12

AB = 2 (14) + 12

AB = 40 units

Answer:

8-1-4=8-1-4=3

Step-by-step explanation:

Order of operations: solve inside the absolute value first. 21-13-9=8-9=-1. The absolute value of -1 is 1.

Answer:

Clarissa needs a 95

Step-by-step explanation:

4 x 82.5 = 330

Keep trying numbers to see if they work

330 + 95 = 425

425 / 5 = 85

Answer:

9.256×10^−12

Step-by-step explanation:

to get standard notation we have a number less ten.

since it is a very small number it has a negative exponent

Answer:

773/1000

Step-by-step explanation:

[tex]x = 0.773 \\ \\ x = \frac{773}{1000} \\ [/tex]

Answer:

Step-by-step explanation:

For two events A and B to be independent, it means they can occur at the same time i.e the occurrence of one does not affect the other occurring. It is represented as P(A∩B) = P(A)P(B)

Given P( A) = 0.60 and P( A| B) = 0.60, to find P(B), we will use the formula for the conditional probability P( A| B) = P(A∩B) /P(B)

P( A| B) = P(A)P(B) /P(B)

P( A| B) = P(A)

Since  P( A| B) = 0.60, therefore P(A) is also equal to 0.60 and P(B) cannot be determined since they cancelled out already

Answer:

$133.40

Step-by-step explanation:

First you have to find 15% of 29 which is 4.35. The way I figured this out was 10% of 29 is 2.9 and 5% of 29 is 1.45 and 2.9 + 1.45 = 4.35.

Then you want to add 4.35 to 29 which equals 33.35, her new hourly pay. Multiply 33.35 by the 4 hours she is working and you end up with $133.40.

Answer:

731.355

Step-by-step explanation:

875.230 - 143.875 = 731.355

apples       rotten       fresh

Answer: $14,912.5

Step-by-step explanation:

given data:

thomas salary in 2017 = $68,000

exemption = $8,350

solution:

thomas taxable income

= salary in 2017 - tax exemptions

= $68,000 - $8350

= $59,560

federal income tax = 25%

= 0.25 * $59,560

= $14,912.5

thomas Owe’s $14,912.5 in federal Income tax at the end of the year.

Answer:

-4x^4-6x^3-8x^2-24x

Step-by-step explanation:

[tex]\left(2x^2+4x\right)\left(-2x^2+x-6\right)\\[/tex]

distribuir parênteses

[tex]=2x^2\left(-2x^2\right)+2x^2x+2x^2\left(-6\right)+4x\left(-2x^2\right)+4xx+4x\left(-6\right)[/tex]

Aplicar regras de menos mais ;[tex]+\left(-a\right)=-a[/tex]

[tex]=-2\times\:2x^2x^2+2x^2x-2\times\:6x^2-4\times\:2x^2x+4xx-4\times\:6x[/tex]

simplificar

[tex]-2\times\:2x^2x^2+2x^2x-2\times\:6x^2-4\times\:2x^2x+4xx-4\times\:6x:\\\quad -4x^4-6x^3-8x^2-24x[/tex]

Answer:

The minimum width of the placemat is 10 inches.

Step-by-step explanation:

Let suppose that placemat has a square form, whose width must be at least equal to the diameter of the pizza, so that pizza does not touch the table. Hence, the following relationship is obtained:

[tex]w = D[/tex]

Where:

[tex]w[/tex] - Width of the placemat, measured in inches.

[tex]D[/tex] - Diameter of pizza, measured in inches.

The area of the pizza, measured in square inches, is determined by this formula:

[tex]A = \frac{\pi}{4} \cdot D^{2}[/tex]

The diameter is cleared afterwards:

[tex]D = \sqrt{\frac{4\cdot A}{\pi} }[/tex]

If [tex]A = 78.5\,in^{2}[/tex] and [tex]\pi = 3.14[/tex], then:

[tex]D = \sqrt{\frac{4\cdot (78.5\,in^{2})}{3.14} }[/tex]

[tex]D = 10\,in[/tex]

The minimum width of the placemat is 10 inches.

The minimum width of a placemat that can be placed underneath the pizza so that the pizza wouldn't touch the table is; 10 inches

We are told that the pizza has an area of 78.5 in². Thus;

A = 78.5 in²

Now, the pizza is circular in shape and the minimum width of a placemat that can be placed underneath the pizza so that the pizza wouldn't touch the table will be the diameter of the pizza

Thus, area of a circle with diameter d is;

A = πd²/4

Plugging in the relevant values, we have;

78.5 = 3.14d²/4

d² = 78.5 × 4/3.14

d² = 100

d = √100

d = 10 inches.

Read more at; https://brainly.com/question/17263602

Answer:

True

Step-by-step explanation:

I just did a whole essay about thin in Geometry and I got an A.

Hope this helps! （づ￣3￣）づ╭❤～

Step-by-step explanation:

When two letters are right next to each other, you multiply them. Since a and b are next to each other, we multiply them together.

[tex]A=\frac{5}{12}[/tex]

[tex]B=\frac{1}{3}[/tex]

To multiply fractions, you place them next to each other and multiply across.

[tex]\frac{5}{12}*\frac{1}{3} \\5*1=5\\12*3=36[/tex]

Our final answer:  [tex]\frac{5}{36}[/tex] (we cannot simplify it any further)

Answer:

(5y)x

Step-by-step explanation:

the commutative law of multiplication=ab=ba, a(bc)=c(ab)

(5x)y=(5y)x=5(xy)

Since Lydia studied for 5 days

Then it will be 5*15=75 minutes in 5 days

Answer:

Distributive property

Step-by-step explanation:

3*$0.40 + 5*$0.40 = (3+5)*$0.40

answer is distributive property

Step-by-step explanation:

hope this answer helps :)

Answer:

-8-495-18x

Step-by-step explanation:

-8-9(55)-9(2x)

-8-495-18x

Answer:

Domain: [tex](-\infty,\infty)[/tex]

Range: [tex][-5,\infty)[/tex]

C

Step-by-step explanation:

Please refer to the graph.

Recall that the domain is the span of x-values covered by the graph, while the range is the span of y-values covered by the graph.

So we have the equation.

[tex]y=(x+3)^2-5[/tex]

This is a quadratic.

The domain of a quadratic is all real numbers. If you look at the graph, we can also see that the x-values will go on infinitely in both direction.

In interval notation, this is:

[tex](-\infty,\infty)[/tex]

For the range, note that the lowest the parabola goes is y=-5.

Therefore, our range is all values greater than or equal to -5.

In interval notation, this is:

[tex][-5,\infty)[/tex]

Note that we use brackets for the -5 because it is included in our range.

So, our answer is C

Answer:

Step-by-step explanation:

the domain and range of  y = (x+3)^2 - 5

Doman: (-∞,∞). {x|x∈R}

Range:{-5,∞),{y|y≥-5}

the solution is C