Frederick's brother is going on a hike. He has his backpack filled with supplies. His backpack weighs 400 ounces. How many pounds is Frederick's backpack? Note: 1 pound = 16 ounces​

Answer:

m<T = 20°

Step-by-step explanation:

m<R = 140°

m<S = 100°

The figure given is a kite. The angles formed where two unequal sides meet are always congruent to each other. This means:

m<S = m<U = 100°

Sum of all interior angles of a quadrilateral = 360°

Therefore:

m<T = 360° - (m<S + m<U + m<R)

m<T = 360° - (100° + 100° + 140°) (substitution)

m<T = 20°

Answer:

Step-by-step explanation:

[tex]\frac{x+2}{x+10}=\frac{1}{2}\\ \\ 2(x+2)=x+10\\ \\ 2x+4=x+10\\ \\ 2x-x=10-4\\ \\ x=6[/tex]

Answer:

2S + 0.065(2S)

Step-by-step explanation:

Since S is the price of a shirt, the price of two shirts would be 2 x S = 2S

a tax is a compulsory sum levied on goods and services. tax increases the price of a good

The price of the 2 shirts would increase by the amount of tax ; 0.065(2S)

This gives = 2S + 0.065(2S)

Alternatively, since two shirts were purchased, the amount of tax would be twice 0.065 - 0.13 - S + S + 0.13S

We want to write two expressions that represent the total cost of the shirts, the expressions are:

Cost = P*(1.065) +  P*(1.065)

cost = P*2.13

We know that Benita buys two shirts for the same price, P.

Then at this moment. the total cost is just:

cost = 2*P

Now we apply a 6.5% tax, then the price increases by 6.5%, this is written as:

P' = P*(1 + 6.5%/100%) = P*(1.065)

Then the total cost is twice that amount, written as:

Cost = P*(1.065) +  P*(1.065)

This can be one of the two expressions.

Now to get the other expression, we just simplify the above one:

cost = 2*P*(1.065) = P*2.13

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Answer:

1.  A number decreased by seven.

2. A number increased by nine.

3. The product of six and a number, divided by eight.

4. The product of three and a number increased by five is equal to twenty.

5. The product of two and a number increased by eight is equal to twenty-three.

Step-by-step explanation:

1.   x-7

A number decreased by seven.

2. y+9

A number increased by nine.

3. 6m/8

The product of six and a number, divided by eight.

4. 3y+5 =20

The product of three and a number increased by five is equal to twenty.

5. 2(x+8)= 23

The product of two and a number increased by eight is equal to twenty-three.

The translation of each given algebraic expression to a verbal phrase has been provided.

1) We have; x - 7

This means that; a number x decreases by 7.

2) y + 9; This means that; a number y increases by 9.

3) 6m/8; This can be expressed as;

The product of six times a number m is divided by 8.

4) 3y + 5 = 20; This can be expressed as;

The sum of five and three times a number x is equal to 20.

5) 2(x + 8) = 23;

The product of 2 and the addition of a number x and 8 is equal to 23

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Answer:

0.02941176...

— Used a calculator for this, so it is guarantied correct! Hope this helps. Brainliest appreciated (and very much needed)

Answer:

10x+2y

8c+2

0

Step-by-step explanation:

Answer:

45 inches

Step-by-step explanation:

If the larger rectangle is 72, then you divide it by 8 because that is the ratio of the bigger rectangle. 72/8 = 9 so that means that the scale value of the shapes is 9 because they are proportional. So, you multiply 9 time 5 to get 45 which is the smaller rectangle.

Answer:

[tex]y=3x-15[/tex]

Step-by-step explanation:

Slope intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)

1) Find the slope of the line ([tex]m[/tex])

When it comes to parallel lines, they will always have the same slope but different y-intercepts. The given equation is [tex]y=3x-5[/tex]. Because 3 is in the place of m, we know that the slope of the line is 3. Therefore, the slope of the line parallel to it will also be 3. So far, this is what our equation looks like:

[tex]y=3x+b[/tex]

2) Find the y-intercept ([tex]b[/tex])

To find the y-intercept, we plug the given point (4,-3) into the equation we currently have and solve for b.

[tex]y=3x+b\\-3=3(4)+b\\-3=12+b[/tex]

Subtract both sides by 12

[tex]-3-12=12+b-12\\-15=b[/tex]

Therefore the y-intercept of our line is -15. Plug -15 back into the original equation as b.

[tex]y=3x+(-15)\\y=3x-15[/tex]

I hope this helps!

Answer:

n=15

Step-by-step explanation:

subtract 8 from both sides to get 3n=45

divide both sides by 3 to solve for n to get n=15

Answer:

n = 15

Step-by-step explanation:

3n + 8 = 53

the first step we are going to do is combine the like terms by moving the constant (8) to the right and subtracting

3n = 45

next step, we are going to isolate the n by dividing by 3 on both sides of the equation

3n divided by 3 is just n and 45 divided by 3 is 15, so we have our answer

Answer: The number is 192

Step-by-step explanation:

Answer:

Step-by-step explanation:

6(k + 2) + 1 = 13 (distribute 6 around the k+2)

6k + 12 + 1 = 13 (add 12 and 1)

6k + 13 = 13 (subtract 13 from both sides)

6k = 0 (divide by 6)

k = 0

Answer:

6( k + 2 ) + 1 = 13

6k + 12 + 1 = 13

6k + 13 = 13

6k = 0

k = 0/6

so it will 0

Answer:

I think Teresa needs 6 tablespoons of butter..

Step-by-step explanation:

Hope this right...but if it's not,im so sorry

Answer:

46,000

Step-by-step explanation:

do the 16.4e part first, substitute x for 30 then add 1 = 4.66ish

214/4.66 rounded is about 46 so probably 46,000

Answer:

10%

Step-by-step explanation:

65.00x10%=6.50

65.00-6.50

0r you can do

65.00-10%=58.50

Answer:

The GCF, or greatest common factor, of 36 and 48 is 12.

Step-by-step explanation:

Answer:

The GCF, or greatest common factor, of 36 and 48 is 12.

Answer is 12.

I hope it's helpful!

Answer:

7c + 5

Step-by-step explanation:

(8c+8)–(c+3)

8c - c = 7c

8 - + 3 = 5

7c + 5

Answer:

7c+5

Step-by-step explanation:

(8c+8)-(c+3)

8c+8-c-3

8c-c+8-3

7c+8-3

7c+5

i think 2 bags or 1 bags hope it helps

The area of the farmer's land is 54 square yards and number of bags needed is 2. The correct option is (B).

A triangle is a two dimensional shape bound by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

For the given diagram, the following data is given as,

Base of the upper and lower triangle is 6.5 + 2.5 = 9 yards.

And, the height is given as 6 yards.

Now, the area of the land can be given as,

Area of upper triangle + Area of lower triangle

⇒ 1/2 × 9 × 6 +  1/2 × 9 × 6

⇒ 54 square yards.

As per the question, the area of the land is more than the soil contained in 1 bag.

Which implies the number of bags required is given as 2.

Hence, the area of land and number of bags required is obtained as  54 square yards and 2 respectively.

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Answer:

Option 3, 18.0

Step-by-step explanation:

To find the Hypotenuse of a right triangle, use the Pythagoras theorem:

[tex]a^{2} +b^{2} =c^{2}[/tex]

(see image below)

(the longest side of any right △ is always C)

In this equation, we know A is 10 and B is 15, so plug in these numbers and solve for C

[tex]10^{2} +15^{2} =c^{2}[/tex]

[tex]100 + 225 =c^{2}[/tex]

[tex]325 = c^{2}[/tex]

Now that the equation is simplified, we find the square root of 325 to solve for C.

[tex]\sqrt{325 = c^{2}}[/tex]

[tex]18.0 = c[/tex]

The final answer is C = 18.0

Hope this helps you understand :)

The value of tan∠A form the right angled triangle ABC is 1.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Given that △ABC be a right triangle with m∠C = 90°. Also, tan∠B = 1. Hence:

tan∠A = (tan∠B)⁻¹ = 1

The value of tan∠A form the right angled triangle ABC is 1.

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Answer:

here you go

Step-by-step explanation:

Answer:5w=36

Step-by-step explanation:

Answer:

a) how many stamps are worth $0.10 and how many are worth $0.20

b) x + y = 15

   .10x + .20y = 2.40

Step-by-step explanation:

Answer:

B.) 42.9

Step-by-step explanation:

The percent that we are trying to find out is 12/28

I know this because if you add the 12 and 16 which is the total amount of people given then it leaves us with an amount of 28 people. Since we are trying to find the percent of the number of people who like fish we have to divide the total by 12 (the number of people who like fish)

Anyways 12 divided by 28 = 42.857etc.

If we simplify this then that gives us our answer of B.) 42.9

Answer:

the answer will be b that should be the answer

Answer:

Tax = $2.00, cost of item = $52.00

Step-by-step explanation:

Multiply 50(.04) = $2.00, then add $50 + $2 = $52

Answer:

Sales tax 2.00, Total cost=52.00

Step-by-step explanation:

50 x .04=2 sales tax

50+2=52 total price

Answer:

7.2

Step-by-step explanation:

24/2 = 12

19.2/2 = 9.6

[tex]12^{2}[/tex] - [tex]9.6^{2}[/tex] = 51.84

[tex]\sqrt{51.84}[/tex] = 7.2

Using translation concepts, it is found that graph A is equivalent to the graph of g(x)=-f(x).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The transformation g(x)=-f(x) is a reflection over the x-axis of function f(x), which is given by graph A.

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Answer:

3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Whenever you are multiplying any numbers or dividing you count them as terms. Since you are multiplying two numbers there will be 2 terms you don't count them if you add.

Tell me if I'm wrong and please explain.

Answer:

-16

Step-by-step explanation:

Answer:

The slope is m=0

Step-by-step explanation:

The line is Horizontal.