8. There are 172 students on a field trip. Seven students traveled in cars and the rest traveled in
5 full buses. How many students traveled in one bus?
quation check your solution.

Answer:

can you explain make it more clear what the question is

Step-by-step explanation:

Answer:

answer is 8

Step-by-step explanation:

do the equation backwards\

25 - 17 = 8

Answer:

[tex]c=-10.4[/tex]

[tex]c=-\frac{52}{5}[/tex]

Step-by-step explanation:

Hello! You did not provide given values, but we can go through this together without any given choices.

Start with:

[tex]5c-5=-50-7[/tex]

Combine like terms:

[tex]5c-5=-57[/tex]

Add [tex]5[/tex] to both sides of the equation:

[tex]5c=-52[/tex]

Divide both sides of the equation by the coefficient of [tex]c,[/tex] which is [tex]5[/tex]:

[tex]c=-10.4[/tex]

- or -

[tex]c=-\frac{52}{5}[/tex]

Answer:

The coordinates of Point P are (2 1/2, 0).

The coordinates of Point T are (-1 1/2, -1).

Point R is located at ( 1/2, -2 1/2)

Hope this helps!

Answer:

p y=0 x=2 1/2 t y= -1 x= -1 R

Answer:

5x+23

Step-by-step explanation:

3(x+1) - 4(2x-5) + 10x

3x+3 - 8x+20 + 10x

(3x-8x+10x = 5x)

(3+20 = 23)

Therefore, answer is 5x-23. :)

the correct answer is the blues

Answer:

40 words

Step-by-step explanation:

120 words/3 minutes is the same as 120 divided by 3

so, you divide 120 by 30 and you get 40 words per minute

Answer:

Step-by-step explanation:

We are going to make a questioning. Look:

If in 3 minutes she can type 120 word

In    1 min  how many will she type X

We adopt X as a thing witch we don't know. This forms a Rule of three. It happens when we have got 3 values but miss us 1 yet.

Generraly you'll sort the values by type. In this case, I put minutes under minute and words under words.

A Fast way to solve is: multiply where there is not an incognt (1*120) and divide by what left (3)

So:

1*120=120

Divided by 3 (120/3) it's equals 40 words per minute.

Good studies!

-ZehTheJohn

Answer:

  x = -9

Step-by-step explanation:

The attachment shows the labeling according to the problem statement.

The overall length is the sum of the constituent segment lengths, so ...

  FG + GH = FH

  (10 +x) +(7) = (2x +26)

  x +17 = 2x +26

  x -9 = 2x

  -9 = x

__

Check

Then the segment length FG is ...

  10 +x = 10 -9 = 1

and the overall length is ...

  2x +26 = 2(-9) +26 = -18 +26 = 8

That is, 1 + 7 = 8.

Answer:

114.3 foot

Step-by-step explanation:

Height of building,h=200 foot

Let BC=x

[tex]tan\theta=\frac{perpendicular\;side}{base}[/tex]

Using the formula

[tex]tan(58^{\circ} 6')=\frac{200}{CD}[/tex]

[tex]CD=\frac{200}{tan(58^{\circ} 6')}[/tex]

[tex]CD=124.5 foot[/tex]

Now,

[tex]\frac{BC}{CD}=tan(42^{\circ}33')[/tex]

[tex]\frac{x}{124.5}=0.9179[/tex]

[tex]x=124.5\times 0.9179[/tex]

[tex]x=114.3 foot[/tex]

Hence, the distance of woman from the  ground=114.3 foot

The ground is 123.24 ft far from the stranded woman.

Given the total height of the office building is 200 ft.

And the angle of elevation of the top of the building is 58° 6' and the angle of elevation to the stranded woman is 42° 33'.

We know that, from trigonometric ratios,[tex]tan \theta =\frac{perpendicular}{base}[/tex]

here [tex]\theta[/tex] is the angle of elevation of the top of the building from the fireman.

Now, [tex]tan ( 58^{0} 6')[/tex][tex]=\frac{200}{base}[/tex]

[tex]1.488=\frac{200}{base}[/tex]

[tex]base=\frac{200}{1.488}[/tex]

[tex]base=134.40[/tex] ft

Now the woman is stranded in the window of the building say at the height of h ft, and the angle of elevation of the woman from the fireman is  42° 33'.

So, [tex]tan (42^{0} 33')[/tex][tex]= \frac{perpendicular}{base}[/tex]

[tex]tan(42^{0} 33' )= \frac{h}{134.40}[/tex]

[tex]0.917=\frac{h}{134.40}[/tex]

[tex]0.917\times134.40=h[/tex]

[tex]h=123.24 ft[/tex]

Hence the ground is 123.24 ft far from the stranded woman.

For more details on angle of elevation follow the link:

https://brainly.com/question/12483071

Answer:

-7

Step-by-step explanation:

Remember y = mx + b and m is the slope. Just convert to this form and identify the m.

y-3=- 7(x-2)

y - 3 = -7x + 14

y = -7x + 17

Answer:

B C D

Step-by-step explanation:

Partial fraction decomposition involves breaking down algebraic fractions into smaller piece.

The equations that can be used are:

[tex]\mathbf{B = 0}[/tex]   ,   [tex]\mathbf{D= -5}[/tex]   and    [tex]\mathbf{A + C = 0}[/tex]

From the question. we have:

[tex]\mathbf{4x^3 - 5 = 2Ax^3 +Ax + 2Bx^2 + B + Cx + D}[/tex]

Collect like terms

[tex]\mathbf{4x^3 - 5 = 2Ax^3 + 2Bx^2 +Ax + Cx + B + D}[/tex]

Compare both sides, using the power of x

[tex]\mathbf{4x^3 = 2Ax^3}[/tex]

[tex]\mathbf{- 5 = B + D}[/tex]

[tex]\mathbf{0 = 2Bx^2 }[/tex]

[tex]\mathbf{0 =Ax + Cx }[/tex]

Divide both sides of [tex]\mathbf{4x^3 = 2Ax^3}[/tex] by 2x^3

[tex]\mathbf{A = 2}[/tex]

Divide both sides of [tex]\mathbf{0 = 2Bx^2 }[/tex] by 2x^2

[tex]\mathbf{B = 0}[/tex]

Divide both sides of [tex]\mathbf{0 =Ax + Cx }[/tex] by x

[tex]\mathbf{A + C = 0}[/tex]

Substitute [tex]\mathbf{B = 0}[/tex] in [tex]\mathbf{- 5 = B + D}[/tex]

[tex]\mathbf{D= -5}[/tex]

Hence, the equations that can be used are:

[tex]\mathbf{B = 0}[/tex]  

[tex]\mathbf{D= -5}[/tex] and

[tex]\mathbf{A + C = 0}[/tex]

Read more about partial fraction decomposition at:

https://brainly.com/question/2759993

Answer:

1=8

2=10

3=4

4=14

Step-by-step explanation:

Answer:

21 :)

Step-by-step explanation:

Answer: 55

Step-by-step explanation:

The answer fam is........ 55

Answer:

The 90% confidence interval = (83.9, 86.1)

Step-by-step explanation:

The formula for confidence interval =

Mean ± z × standard deviation/√n

From the question:

n = 38

Mean = 85 points

Standard deviation = 4 points

Z score for 90% confidence interval = 1.645

85 ± 1.645 × 4/√38

85 ± 1.067416951

Confidence Interval =

85 - 1.067416951

= 83.932583049

≈ 83.9

85 + 1.067416951

= 86.067416951

≈ 86.1

Therefore, the 90% confidence interval = (83.9, 86.1)

Step-by-step explanation:

6x^7 + 3x^4 - 9x^3

3x^3 (2x^4 + x - 3) ??

Answer:

36= 12, 16=48, 28=84

Step-by-step explanation:

12/4=3, so you would multiply 3 x the pages to get the minutes. Or divide 3 by the minutes to get the pages.

minutes - 12, 36, 48, 84

pages read - 4, 12, 16, 28

Answer:

32.804

Expanded forms can be written like a sentence or stacked for readability as they are here.

Expanded Notation Form:

 30  

+ 2  

+   0.8

+   0.00

+   0.004

Expanded Factors Form:

 3 × 10  

+ 2 × 1  

+ 8 ×   0.1

+ 0 ×   0.01

+ 4 ×   0.001

Expanded Exponential Form:

3 × 101

+ 2 × 100

+ 8 × 10-1

+ 0 × 10-2

+ 4 × 10-3

Step-by-step explanation:

Answer:

1000m or 1km

Step-by-step explanation:

200 + 200 + 300 + 300

Answer: You have to make the denominators the same.

Step-by-step explanation:

That’s just how it is.

Answer:

rotation of 180° about the origin, followed by a translation (x, y) - (x + 1, y + 1).

Step-by-step explanation:

Remember that a rotation of 180º about the origin will result in the change of both X's and Y's signs to the opposite so if the sign of one of them is negative, it will be positive, and viceversa.

Since point R is (-2,4) the first transformation would change the signs and make it (2,-4) the next one would be transform it by adding 1 to both of them:

(x,y)---(x+1,y+1)

(x,y)---(2+3,-4+1)

(x,y)---(3,-3)

So that would be the correct answer.

Answer:

Rotation of 180° about the origin, followed by a translation (x, y) - (x + 1, y + 1).

Step-by-step explanation:

Because you need to negate the X and Y axis to get your answer.

Answer:

Step-by-step explanation:

Given

Simply

Solution

Answer:

C. The solution t = 5 is the only valid solution to this system since time cannot be negative.

Step-by-step explanation:

Given

[tex]h(t) = -16t^2 + 48t + 210[/tex]

[tex]h(t) = 50[/tex]

Required

Determine which of the options is true

After solving

[tex]h(t) = -16t^2 + 48t + 210[/tex]

for

[tex]h(t) = 50[/tex]

We have that

[tex]t = -2[/tex] and [tex]t = 5[/tex]

Because time can't be negative, we have to eliminate [tex]t = -2[/tex]

So, we're left with

[tex]t = 5[/tex]

Because of this singular reason, we can conclude that option c answers the question

Answer:

$740

Step-by-step explanation:

3700X20%=740

I think I'm good

Answer:

$740

Step-by-step explanation:

3700*0.20=740.

Hope this helps!

Answer:

3

Step-by-step explanation:

Well the square root of 12 is 3.464 and 12 squared is 144, and an intiger is a whole number no decimal or fraction. So round 3.464 to the nearest whole is 3. Hope this helps(:

Answer:

(1) Yes, because 30 American citizens were sampled.

(2) The probability that the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35% is 0.50.

Step-by-step explanation:

We are given that from a representative list of 20677 American citizens, they randomly sampled 30; all responded to their questions.

Previously, 35% of Americans considered climate change an immediate threat to humanity; assume this has not changed.

(1) Yes, it is appropriate to use a normal distribution to describe the sampling distribution of sample proportion because 30 American citizens were sampled.

(2) The z-score probability distribution for the sample proportion is given by;

                          Z = [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of Americans who agree climate change is an immediate threat to humanity

p = population proportion of Americans who considered climate change is an immediate threat to humanity

n = sample of American citizens = 30

Now, the probability that the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35% is given by = P([tex]\hat p[/tex] > 35%)

        P([tex]\hat p[/tex] > 35%) = P( [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] > [tex]\frac{0.35-0.35}{\sqrt{\frac{0.35(1-0.35)}{30} } }[/tex] ) = P(Z > 0) = 0.50

The above probability is calculated by looking at the value of x = 0 in the z table which has an area of 0.50.

Hence, the required probability is 0.50.

Using the normal distribution and the central limit theorem, it is found that:

1. a. Yes, because 10.5 and 19.5 are greater than 10.

2. There is a 0.5 = 50% probability the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35%.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Item 1:

We verify the condition, hence:

[tex]np = 30(0.35) = 10.5[/tex]

[tex]n(1 - p) = 30(0.65) = 19.5[/tex]

Hence option a is correct.

Item 2:

The mean and the standard error are given by:

[tex]\mu = p = 0.35[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.35(0.65)}{30}} = 0.087[/tex]

The probability is 1 subtracted by the p-value of  Z when X = 0.35, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.35 - 0.35}{0.087}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a p-value of 0.5.

1 - 0.5 = 0.5.

0.5 = 50% probability the proportion of the 30 Americans sampled that agree climate change is an immediate threat to humanity exceeds 35%.

To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213

Answer:

C

Step-by-step explanation:

five times a number = 5x

plus 7 = 5x+7

is 3 less 10 times the same number = 10x - 3

Answer:

A,B,C

Step-by-step explanation:

If figure DEFG is reflected across the x-axis, the correct statements are:

D(0, 4) → D'(0, –4)

E(–2, 0) → E'(–2, 0)

The perpendicular distance from D' to the x-axis will equal 8 units.

Options A, B, and E are the correct answers.

There are two ways of reflection.

Along x-axis:

(x, y) – (x, -y)

Along y-axis:

(x, y) - (-x, y)

We have,

D(0, 4) → D'(0, –4) - True.

Reflecting a point across the x-axis negates its y-coordinate.

E(–2, 0) → E'(–2, 0) - True.

Reflecting a point across the x-axis does not change its x-coordinate.

The perpendicular distance from G' to the x-axis will equal 2 units. - False. The perpendicular distance from G' to the x-axis will be the same as the perpendicular distance from G to the x-axis.

The perpendicular distance from D' to the x-axis will equal 8 units. - True.

The perpendicular distance from D' to the x-axis will be the same as the perpendicular distance from D to the x-axis, which is twice the distance between D and the x-axis.

The orientation will be preserved. - False.

Reflecting a figure across the x-axis will reverse the orientation of the figure.

Thus,

D(0, 4) → D'(0, –4) - True

E(–2, 0) → E'(–2, 0) - True

The perpendicular distance from D' to the x-axis will equal 8 units. - True.

Learn more about reflections here:

https://brainly.com/question/12463306

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