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2 years ago

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Erica is training for a marathon This week she ran 6 less than 2 times the number of miles that she ran last week in these two w

eeks ran a total of 42 miles write a system of equation and find x the number of miles she ran this week and y the number of miles she ran last week

1 answer:

Furkat [3]2 years ago

7 0

Answer:

I think it's not my level ques. !!

sowy >.<

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Rebecca Wilson was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 846

RUDIKE [14]

Answer:

Number of two point goals = 169

Number of three point goals = 123

Number of free throws = 139

Step-by-step explanation:

Let the number of two point goals = $x$

Let the number of three point goals = $y$

Let the number of free throws = $z$

As per the given statements:

$x = 2y-77 ...... (1)$

$z = x-30 ...... (2)$

Using equation (1):

$z = 2y-107$ ...... (3)

Total number of points from two point goals = $2x$

Total number of points from three point goals = $3y$

Total number of points from free throws = $z$

$2x+3y+z=846$

using (1) and (3):

$2(2y-77)+3y+2y-107=846\\\Rightarrow 4y-154+5y-107=846\\\Rightarrow 9y-261=846\\\Rightarrow 9y=846+261\\\Rightarrow 9y=1107\\\Rightarrow y =123$

By (1):

$x = 2\times 123-77 =169$

By (3):

$z =2\times 123-107 = 139$

So, answers are:

Number of two point goals = 169

Number of three point goals = 123

Number of free throws = 139

3 0

3 years ago

The mean of six numbers is 45. Four of the numbers are 40, 38, 46, and 51. If the remaining two numbers are I. The ratio of 2:3,

Advocard [28]

Answer:

The numbers are 38 and 57

Step-by-step explanation:

Let

x-----> the missing smaller number

y----> the missing larger number

we know that

$45=\frac{40+38+46+51+x+y}{6} \\ \\270=175+x+y$

$x+y= 95$ -----> equation A

$\frac{x}{y}=\frac{2}{3}$

$x=\frac{2}{3}y$ -----> equation B

substitute equation B in equation A and solve for y

$\frac{2}{3}y+y= 95$

$\frac{5}{3}y= 95$

$y=95*3/5=57$

Find the value of x

$x=\frac{2}{3}(57)=38$

8 0

3 years ago

What is the slope OF THE GRAPH, not what is A slope, what is THE slope

PtichkaEL [24]

You can find the slope either by just looking at the line or using the slope formula.

#1: The slope formula is:

$m=\frac{y_2-y_1}{x_2-x_1}$ Find two points and plug it into the formula

I will use (0, 2) and (1, -1)

(0, 2) = (x₁, y₁)

(1, -1) = (x₂, y₂)

$m = \frac{y_2-y_1}{x_2-x_1}$

$m = \frac{2-(-1)}{0-1}$ [two negatives cancel each other out and become positive]

$m=\frac{2+1}{-1} =\frac{3}{-1}$

m = -3

#2: To find the slope without having to do the work, you use this:

$m=\frac{rise}{run}$

Rise is the number of units you go up(+) or down(-) from each point

Run is the number of units you go to the right from each point

If we start at a defined/obvious point, like (0, 2), find the next point and see how many units it goes up or down and to the right. The next point is (1, -1), so from each point, you go down 3 units and to the right 1 unit. So your slope is -3/1 or -3. You can make sure the slope is right by looking at another point.

5 0

3 years ago

Read 2 more answers

A bus has velocity 20 m/s towards east and another bus has velocity 15 m/s in west direction. If they start to move from a point

Mashutka [201]

Answer:

<em>The first bus has covered 2,400 m and the second bus has covered 1,800 m. They are separated by 4,200 m</em>

Step-by-step explanation:

<u>Constant Velocity Motion</u>

A bun has a velocity of 20 m/s towards the east. It means it travels 20 meters each second in that direction. Assuming the east direction is positive, the distance traveled by this bus can be calculated as follows:

X1=20*t

Where t is the time in seconds.

Similarly, the distance traveled by the second bus towards the west is:

X2=-15*t

Note the negative sign because the direction points at the negative reference.

After 2 minutes = 120 seconds have passed, the distance of each bus is

X1= 20*120=2,400 m

X2=-15*120 = 1,800 m

They are separated by 2,400-(-1,800) = 4,200 m

The first bus has covered 2,400 m and the second bus has covered 1,800 m. They are separated by 4,200 m

6 0

3 years ago

You were shopping for a Christmas present. You found the item on sale for 20% off. Tax is 8%. If the original price was $450, ho

klio [65]

Answer:

$Cost\ of\ gift=\$ 388.8$

Step-by-step explanation:

Original Price $=\$450$

Discount:

Discount $=20\%$

$20\%\ of\ 450=\frac{20}{100}\times 450=90\\\\Discounted\ Price=450-90=\$360$

Tax:

Tax $=8\%$

$8\%\ of\ 360=\frac{8}{100}\times 360=28.8\\\\Final\ cost=360+28.8=\$388.8$

4 0

3 years ago