use the volume formula to find the volume of the prism

Answer:

I use equal signs throughout but they are meant to be less than or equal to signs.

s=sandwiches

4.5s+6 less than or equal to 50

The answer is s is less than or equal to 12

Step-by-step explanation:

Finding Inequality

1. we know everything costs 50 in total so that is on one side of the equal sign.

____=50

2. we know he already spent 6 dollars so the money he can spend is 6 dollars less.

____+6=50

3. Each sandwich costs 4.50 $ so how much money does he have left to spend? we figure that out by multiplying the price by the number of sandwiches.

4.5s+6=50

Solving

1. 4.5s-6=50

First use the addition property of equality and add 6 to both sides.

2. 4.5s=56

Then use the division property of equality and divide each side by 4.5

3. you get a decimal but since you can't buy half a sandwich the answer is

s is less than or equal to 12

Answer:

738 square ft

Step-by-step explanation:

Area of the composite figure

= 21*(12 + 9 + 6) + 9*(9 + 6) + 6*6

= 21*27 + 9*15 + 6*6

= 567 + 135 + 36

= 738 square ft

Answer:

Step-by-step explanation:

A: 2x = 3

B: w+1.3 = 2.7

C: 3y = 5.1

D: z+⅓ = ½

Answer:

x=3, y=5

Step-by-step explanation:

Answer:

its 34

Step-by-step explanation: i

Answer:

9.2

Step-by-step explanation:

S.A.S.→Law of Cosines

a^2=b^2+c^2-2bc\cos A

From reference sheet.

h^2 = 9.2^2+1.4^2-2(9.2)(1.4)\cos 84

=84.64+1.96−2(9.2)(1.4)(0.104528)

Square and find cosine.

h^2 = 84.64+1.96-2.69265

h  

2

=84.64+1.96−2.69265

Multiply.

h^2 = 83.90735

h  

2

=83.90735

Add.  

h=  

83.90735

​  

≈9.16≈9.2

The required measure of the length of h is 9.2 centimeters.

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.

here,

Law of Cosines

In ΔHIJ, i = 9.2 cm, j = 1.4 cm and ∠H=84°

Following the cosine rule

a²=b²+c²-2bc×cos A

From given

h² = 9.2²+1.4²- 2(9.2)(1.4) × cos 84

h² = 84.64+1.96-2.69265

h²  = 84.64+1.96 −2.69

h² = 83.9

h ≈9.2

Thus, the required measure of the length of h, to the nearest 10th of a centimeter is 9.2 centimeters.

Learn more about trigonometry equations here:

brainly.com/question/22624805

#SPJ2

Step-by-step explanation:

For first triangle,

sin 45 = 3 / d

1 / root 2 = 3 / d

d = 3 root 2

For second triangle,

tan 60 = 7 / a

root 3 = 7 / a

a = 7 / root 3

Answer:

2x + 22

Step-by-step explanation:

3x - (1)x = 2x

10 + 12 = 22

therefore 2x + 22 is your answer

Answer:

C

Step-by-step explanation:

subtract : 3x - x = 2x

Add : 10 + 12 = 22

Answer: 2x + 22

Answer:

7/8 + 4/8 = 1 3/8.

Step-by-step explanation:

In words the answer is 1 and 3/8.

Answer:

43.5 cm² and 112 cm²

Step-by-step explanation:

Here the instructions aren't given what to do. So I am finding the area of the ∆s .

Area of first ∆ :-

Area of second ∆ :-

Answer:

[tex] \displaystyle 3) \boxed{ \rm {43.5 \: cm}^{2} }[/tex]

[tex] \displaystyle 4)\rm \boxed{112 {cm}^{2} }[/tex]

Step-by-step explanation:

we are given a triangle and we want to figure out the area of it Since we are given the base and the height we can consider the following formula

[tex] \displaystyle \frac{1}{2} bh[/tex]

from the triangle we can assume base and height as 14.5 and 8 respectively Thus substitute:

[tex] \displaystyle \frac{1}{2} (14.5cm)(6cm)[/tex]

reduce fraction:

[tex] \displaystyle (14.5cm)(3cm)[/tex]

simplify multiplication:

[tex] \displaystyle \boxed{ \rm {43.5 \: cm}^{2} }[/tex]

our given shape is trapezoid

therefore recall that,

[tex] \displaystyle A _{ \text{trapezoid}} = \frac{a + b}{2} h[/tex]

from the shape we define that

now substitute:

[tex] \displaystyle \rm A _{ \text{trapezoid}} = \frac{9cm + 19cm}{2} (8cm)[/tex]

reduce fraction:

[tex] \displaystyle \rm A _{ \text{trapezoid}} = (9cm + 19cm)(4cm)[/tex]

simplify addition:

[tex] \displaystyle \rm A _{ \text{trapezoid}} = (28cm)(4cm)[/tex]

simplify multiplication:

[tex] \displaystyle \rm A _{ \text{trapezoid}} = \boxed{112 {cm}^{2} }[/tex]

Answer:

One reason, is because it clearer and easier to read.

Seeing two numbers (3^5) can let you know, in this example, 3x3x3x3x3 is harder to understand than 3^5.

3 is the number being multiplied, and 5 tells you how many times.

~Hope this helps~

Answer: (x,y) -> (7/4x, 7/4y)

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Distribute

3 (−4) = 2 (−2+1)

3 − 12 = 2 (-2x +1)

Distrubute again

3x - 12 = -4x + 2

Add twelve to both sides of the equation

Simpfly

3x = -4x + 14

Add 4x to both sides of the equation

simpfly

7x = 14

Divide both sides of the equation by the same term

Simpfly

x = 2

Answer:

1 1/6

Step-by-step explanation:

You can convert 7/6 into a mixed number by subtracting 1 from the improper fraction, because 1= 6/6

7/6 -6/6= 1 1/6

Answer:

7/6 would be 1 1/6

Step-by-step explanation:

To make it a number in general turn into a decimal.

Answer:

[tex]each \: ribeye \: costs \: \boxed{(r) \to \: \$23.3664} ......................... .. \\ each \: grilled \: salmon \: dinners \: costs \: \boxed{(r) \to \: \$18.29912}[/tex]

Step-by-step explanation:

[tex]let \: ribeye \: be \to \: (r).......................... \\ let \: grilled \: salmon \: dinners \: be \to \: (g) \\ \tt{hence} \to\\ (5) \times 17r + 10g = \$580.22 \\(10) \times 21r + 5g = \$582.19 \\ \to \\ (85r + 50g = 2,901.1) \\ - (minus)\\ (210r + 50g =5,821.9 ) \\ - 125r = - 2,920.8 \\ r = \frac{ -2,920.8 }{ - 125} \\ \boxed{r = \$23.3664} \\ \tt{hence} \to\\17r + 10g = \$580.22 \\ 17(23.3664) + 10g = \$580.22 \\1 0g = \$580.22 - \$397.2288 \\ 10g = \$182.9912 \\ g = \frac{\$182.9912}{10} \\ \boxed{g = \$18.29912}[/tex]

Answer:

-38

Step-by-step explanation:

Let's say that x= 1st number and y=2nd number.

In order to find the first number,  you have to find out the 2nd number which it says, "5 less than a second number", it would be y-5. then it says the "5 times the first is 8 more than 6 times the second". then there should be an equal sign because there is the word "is". The expression would be: 5(y-5)=6y+8. then solve the y. which is -33, then plug in the y to the y-5 and there you go!

Janice is currently 4.

In 12 years, Janice will be 16, and 2 years ago she was 2. That being said, 16 is eight times more than 2, thus meaning she is currently 4 years old.

I hope this helps!

Answer:

log(144) or 2.158

Step-by-step explanation:

Answer:

log(144)

Step-by-step explanation:

When you evaluate and multiply it out, this is what it turns out to be. Hope this helps!!!:)

Answer:

28

Step-by-step explanation:

Answer:

2.5 miles west and 1 mile north

Step-by-step explanation:

Answer:2600

Step-by-step explanation:

Answer:

30 = b * ?

b = 2 * ?

Step-by-step explanation:

b = books

2 = price of each book

30 = b * ?

or

b = 2 * ?

Answer:

yes

Step-by-step explanation:

A parallelogram is a special type of quadrilateral that has equal and parallel opposite sides.

Answer:

the value will be equal to 0

Step-by-step explanation:

see the attached picture for solution --

Given:

The two points are (-1,2) and (5,-2).

To find:

The distance between the given points.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, the distance between the given points is

[tex]d=\sqrt{(5-(-1))^2+(-2-2)^2}[/tex]

[tex]d=\sqrt{(5+1)^2+(-4)^2}[/tex]

[tex]d=\sqrt{(6)^2+16}[/tex]

[tex]d=\sqrt{36+16}[/tex]

On further simplification, we get

[tex]d=\sqrt{52}[/tex]

[tex]d=7.2111[/tex]

[tex]d\approx 7.21[/tex]

Therefore, the the distance between the given points is about 7.21 units.

Answer:

ahhh you didnt have to !!

Step-by-step explanation:

thank you so much, ill do the same!! check my page for a question w free brainliest

Answer:

A) Replace one equation with the sum/difference of both equations

Step-by-step explanation:

6x-5y=1

+

-2x+2y=-1

=

4x-3y=0