MATHEMATICS MIDDLE SCHOOL

rita is hiking along a trail that is 13.7 miles long. so far she has hiked along 1/10 of this trail. how far has Rita hiked?

Answers

Answer 1

Answer:

Answer

Find out the how far has Rita hiked .

To prove

Let us assume that the rita hiked distance be x.

As given

rita is hiking along a trail that is 13.7 miles long.

she has hiked along $(1)/(10)$ of this trail.

Than the equation becomes

$x = (1* 13.7)/(10)$

x = 1.37 miles

Therefore Rita hiked 1.37 miles of the a trail that is 13.7 miles long.

Answer 2

Answer:

Answer:

Rita hiked 1.37 miles of the trail

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sarita recorded the distances she ran for 5 days:5 miles,4mi,5.5mi,4.5,5.5 what is the mean distance sarita ran

Answers

The mean distance Sarita ran for 5 days = 4.9 miles.

What do we mean by mean of data?

The mean of given data is the summation of all variables divided by the number of variables.

Mean = ∑X/n

where X represents variables and n represents the number of variables.

How do we calculate the mean of the given data?

We have got data for 5 days. The variables are 5 miles, 4 miles, 5.5 miles, 4.5 miles, and 5.5 miles. Number of variables = 5.

∑X = 5 + 4 + 5.5 + 4.5 + 5.5 = 24.5 miles.

n = 5.

∴ Mean = ∑X/n = 24.5/5 = 4.9 miles.

The mean distance Sarita ran for 5 days = 4.9 miles.

Learn more about mean at

brainly.com/question/20118982

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How you find the mean is to add all the numbers in that group together, and divide that number by the number of numbers there were in that group.
For this problem, here is what you do:

5+4+5.5+4.5+5.5 = 5.0+4.0+5.5+4.5+5.5 = 24.5

Then:

24.5 / 5 = 4.9

So...:
your final answer is 4.9 miles as the mean.

I hope this helps you.

add or subtract the fractions for the addition problems write another addition problem that has the same sum and use two or more fractions 9/12 - 2/12

Answers

You can add these fractions to get 9/12 - 2/12 ( 7/12 )

3/12 + 4/12
1/12 + 6/12
2/12 + 5/12

What is an expression that equals 75 using the numbers 7,5,6,and 3

Answers

I see that we need to make an expression out of the numbers given above that will end up having a value of 75. It is done as follows:

(6 x (7+5)) + 3 = (6 x 12) +3 = 72 + 3 = 75

Hope this answers the question. Have a nice day.

Answer:

this girl

Step-by-step explanation:

she got every thing wrong the answer is 4

The measures of the angles RST are given by the expressions in the table.

Answers

To find the value of x, and then find the angles of triangle RST, we first need to set up an equation equal to 180.

First, the equation = 180:

We have 31, x+4, and 3x+9.
What we can do is make an equation in which adds the angles to equal 180.
As so:

31 + x + 4 + 3x + 9 = 180

Combine like terms:

31 + x + 4 + 3x + 9 = 180
44 + x + 3x = 180
44 + 4x = 180

Now, we need to simplify this further by subtracting 44 from each side:

44 - 44 + 4x = 180 - 44
4x = 136

Next, to simplify this equation even further, we need to divide each side by 4 (Resulting in the x being alone on one side of the equation.)

4x / 4 = 136 / 4
x = 136 / 4
x = 34

Awesome! We now know that x = 34!
However, we are not completely finished with this problem. Let's continue.

To find the angles of S and T, we need to substitute 34 in for x:

S:
(x + 4)
(34 + 4)
38 degrees

T:
(3x + 9)
(3(34) + 9)
(102 + 9)
111 degrees

Amazing! We now can conclude all of the angles' measurements:
R = 31
S = 38
T = 111
Also, x = 34.

Hope I could help you out! If my math is wrong or it isn't the answer you were looking for, please let me know!
Have a good one.

You are building a scale model of a fishing boat. The boat is 62 ft long and 23 ft wide. Themodel will be 14 in long How wide should it be?

Answers

The wide of the model should be approximately 5.194 inches

Step-by-step explanation:

You are building a scale model of a fishing boat

The boat is 62 ft long
The boat is 23 ft wide
The model will be 14 in long

We need to find how wide should it be

∵ The boat is 62 feet long

∵ The model of the boat is 14 inches long

- That means 14 inches represents 62 feet

By using the ratio method

→ Actual (ft) : Model (in)

→ 62 : 14

→ 23 : x

By using cross multiplication

∵ 62 × x = 23 × 14

∴ 62 x = 322

- Divide both sides by 62 to find x

∴ x ≅ 5.194

∵ x represents the wide of the model

∴ The wide of the model is approximately 5.194 inches

The wide of the model should be approximately 5.194 inches

Learn more:

You can learn more about the scale drawing in brainly.com/question/570757

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100 POINTS HELP PLEASEEEE !!!HURRY!!!

Answers

Question # 1 Solution

Answer:

$(h-f)(-8)=-229$

Step-by-step Solution:

Given

$h(r)=-4r^(2)+4$

$f(r)=2r-7$

$(h-f)(r)=h(r)-f(r)$

$(h-f)(r)=-4r^(2)+4-(2r-7)$

$(h-f)(r)=-4r^(2)+4-2r+7)$

We have to find $(h-f)(-8)$

So,

$(h-f)(-8)=-4(-8)^(2)+4-2(-8)+7)$

$(h-f)(-8)=-4(64)+4+16+7$

$(h-f)(-8)=-256+4+16+7$

$(h-f)(-8)=-229$

∴ $(h-f)(-8)=-229$

Question # 2 Solution

Answer:

∴ $(f.p)(9)=38979$

Step-by-step Solution:

Given

$f(s)=7s-2$

$p(s)=s^(3)-10s$

$(f.p)(s)=f(s).p(s)$

$(f.p)(s)=(7s-2)(s^(3)-10s)$

$(f.p)(s)=7s^4-2s^3-70s^2+20s$

We have to find $(f.p)(9)$

So,

$(f.p)(9)=7\left(9\right)^4-2\left(9\right)^3-70\left(9\right)^2+20\left(9\right)$

$(f.p)(9)=7\cdot \:9^4-2\cdot \:9^3-70\cdot \:9^2+20\cdot \:9$

$(f.p)(9)=9^4\cdot \:7-9^3\cdot \:2-9^2\cdot \:70+180$

$(f.p)(9)=45927-1458-5670+180$

$(f.p)(9)=38979$

∴ $(f.p)(9)=38979$

Question # 3 Solution

Answer:

$((f)/(p))(r)=(11r+8)/(r\left(r^2+6\right))$

Step-by-step Solution:

Given

$p(r)=r^(3)+6r$

$f(r)=11r+8$

We have to find $((f)/(p))(r)$

Using the formula

$((f)/(p))(r)=(f(r))/(p(r))$

$p(r)=r^(3)+6r$

$f(r)=11r+8$

$((f)/(p))(r)=(11r+8)/(r^(3)+6r)$

$((f)/(p))(r)=(11r+8)/(r\left(r^2+6\right))$

∴ $((f)/(p))(r)=(11r+8)/(r\left(r^2+6\right))$

Question # 4 Solution

Answer:

$(h-p)(k)=5k^2-3-k^3-8k$

Step-by-step Solution:

Given

$h(k)=5k^(2)-3$

$p(k)=k^(3)+8k$

We have to find $(h-p)(k)$

Using the formula

$(h-p)(k)=h(k)-p(k)$

$h(k)=5k^(2)-3$

$p(k)=k^(3)+8k$

$(h-p)(k)=5k^(2)-3-(k^(3)+8k)$

$(h-p)(k)=5k^2-3-k^3-8k$

∴ $(h-p)(k)=5k^2-3-k^3-8k$

Question # 5 Solution

Answer:

$((p)/(g))(11)=(1287)/(155)$

Step-by-step Solution:

Given

$p(b)=b^(3)-4b$

$g(b)=b^(2)+4b-10$

We have to find $((p)/(g))(11)$

$((p)/(g))(b)=(p(b))/(g(b))$

$((p)/(g))(b)=(b^(3)-4b)/(b^(2)+4b-10)$

$((p)/(g))(11)=(11^(3)-4(11))/(11^(2)+4(11)-10)$

$((p)/(g))(11)=(1287)/(155)$

∴ $((p)/(g))(11)=(1287)/(155)$

Question # 6 Solution

Answer:

$(f+g)(x)=x^2+20x-18$

Step-by-step Solution:

Given

$g(x)=x^(2)+11x-7$

$f(x)=9x-11$

We have to find $(f+g)(x)$

$(f+g)(x)=f(x)+g(x)$

$(f+g)(x)=9x-11+(x^(2)+11x-7)$

$(f+g)(x)=9x-11+x^(2)+11x-7$

$(f+g)(x)=x^2+20x-18$

∴ $(f+g)(x)=x^2+20x-18$

Question # 7 Solution

Answer:

$h(10)+g(10)=-983$

Step-by-step Solution:

Given

$h(w)=-11w^(2)-7$

$g(w)=w^(2)+3w-6$

We have to find $h(10)+g(10)$

So,

$h(10)=-11(10)^(2)-7$

$h(10)=-1107$ .....[1]

and

$g(10)=10^(2)+3(10)-6$

$g(10)=124$ .....[2]

Adding Equation [1] and Equation [2]

$h(10)+g(10)=-1107+124$

$h(10)+g(10)=-983$

∴ $h(10)+g(10)=-983$

Question # 8 Solution

Answer:

$(f+g)(-3)=-6$

Step-by-step Solution:

Given

$g(b)=b^(2)+9b+10$

$f(b)=3b+11$

We have to find $(f+g)(-3)$

$(f+g)(b)=f(b)+g(b)$

$(f+g)(b)=3b+11+b^(2)+9b+10$

$(f+g)(-3)=3(-3)+11+(-3)^(2)+9(-3)+10$

$(f+g)(-3)=-6$

∴ $(f+g)(-3)=-6$

Question # 9 Solution

Answer:

$(f.h)(k)=33k^3+22k-12k^2-8$

Step-by-step Solution:

Given

$f(k)=-11k+4$

$h(k)=-3k^(2)-2$

We have to find $(f.h)(k)$

$(f.h)(k)=f(k).h(k)$

So,

$(f.h)(k)=(-11k+4).(-3k^(2)-2)$

$\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd$

∵ FOIL means (First, Outer, Inner, Last)

$(f.h)(k)=\left(-11k\right)\left(-3k^2\right)+\left(-11k\right)\left(-2\right)+4\left(-3k^2\right)+4\left(-2\right)$

$(f.h)(k)=33k^3+22k-12k^2-8$

∴ $(f.h)(k)=33k^3+22k-12k^2-8$

Question # 10 Solution

Answer:

$p(-8)-f(-8)=-581$

Step-by-step Solution:

Given

$p(s)=s^(3)+6s$

$f(s)=-2s+5$

We have to find $p(-8)-f(-8)$

So,

$p(-8)=(-8)^(3)+6(-8)$

$p(-8)=-560.....[1]$

and

$f(-8)=-2(-8)+5$

$f(-8)=21.....[2]$

Subtracting Equation [2] from Equation [1]

$p(-8)-f(-8)=-560-21$

$p(-8)-f(-8)=-581$

∴ $p(-8)-f(-8)=-581$

Keywords: function operation

Learn more about function operations from brainly.com/question/3725682

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Answer:

-2229

Step-by-step explanation:

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