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dmitriy555 [2]
2 years ago
7

During the summer, Bethany mows lawns and Grant is a waiter at a coffee shop. To show their earnings, Bethany makes a graph and

Grant makes a table. Which statement is true?

Mathematics
2 answers:
arsen [322]2 years ago
6 0

grant earns 1.15 more than bethany

Alexeev081 [22]2 years ago
6 0

Explanation:

Equation of Bethany Mowing job is given by

As, the curve is a straight line passing through (0,0) and having slope 11.75 is

y=11.75 x

As, equation of slope intercept form of line is , y= m x +c, here C=0.

in one hour money earned by Bethany=11.75 ×1= $ 11.75

Equation of grant waiter job is

As, the curve is not linear,

So, in one hour that is (7-6) hour money earned by Grant = 90.30-77.40=$12.90

So, grant earns more per hour  money than Bethany by the amount , 12.90 - 11.75=$1.15

Option A is true statement : Grant earns $1.15 more per hour money than Bethany.

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Mr. Peterson needs topsoil for his garden. His rectangular garden is 78 in long and 48 in wide. A bag of topsoil covers an area
nata0808 [166]

Answer:

3744 inches squared, and 8 bags

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

˜”*°•.˜”*°• Area: •°*”˜.•°*”˜

Well, the formula for area is L*W

L=78 inches

W=48 inches

78*48=3744 inches squared

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3744/500=7.448

So he would need to buy 8 bags

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4 0
2 years ago
A railway system on a hillside moves passengers at a constant rate to an elevation of 50 m. The elevations of a train are given
Brut [27]
8-4x(3x^2+5)-2(x+7) is equivalent
4 0
2 years ago
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Compute the least-squares regression line for predicting y from a given the following summary statistics. Round final answers to
qwelly [4]

Answer: Regression line equation:  \hat{y}=-1.008x+39.1704

Step-by-step explanation:

Equation of least-squares regression line for predicting y :

\hat{y}=b_1x+b_o

, where \text{Slope} (b_1)=r\dfrac{s_y}{s_x} ,  \text{intercept}(b_0)=\bar{y}-b_1\bar{x}

Given: \bar{x}=8.8,\ s_x=1.5,\ s_y=1.8,\ \bar{y}=30.3,\ r=-0.84

Then,

b_1=(-0.84)\dfrac{ 1.8}{ 1.5}\\\\\Rightarrow\ b_1=-1.008

Now,

b_0=30.3-(-1.008)(8.8)=30.3+8.8704\\\\\Rightarrow\ b_0=39.1704

Then, Regression line equation:  \hat{y}=-1.008x+39.1704

6 0
2 years ago
In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula StartFraction
tensa zangetsu [6.8K]

<u>The given options are:</u>

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

(B)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.

(C)the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.

(D)the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.

Answer:

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Step-by-step explanation:

The area of the shaded sector can be determined using the formula:

\frac{m\angle ZYX}{360^\circ} \cdot \pi r^2

m\angle XYZ=$Central angle of XYZ\\\pi r^2$=Area of a Circle

360^\circ =$Total Angle

Therefore, the formula is:

\dfrac{m\angle ZYX}{360^\circ} \cdot \pi r^2\\\text{Area of XYZ}=\dfrac{\text{Cental Angle of XYZ}}{\text{Total Angle}} X \text{Area of the Circle}

Therefore, the formula is best explained by Option A.

7 0
2 years ago
Help!
Leona [35]

Step-by-step explanation:

first minute = 24 wildebeest

by 20 min = (20 × 3) + 24 = 84 wildebeest

3 0
2 years ago
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