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Andrew [12]
3 years ago
15

60% of what number is 75

Mathematics
1 answer:
kramer3 years ago
8 0
60\% \ of \ x =75 \\\\ \frac{60}{100}*x=75\\\\ \frac{6}{10}=\frac{75}{x} \\\\ \frac{3}{5}*\frac{75}{x} \\\\ x=\frac{5*75}{3} \\\\ x=5*25 \\\\ \boxed{x=125}
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Write the equation of the line that contains the given point and has the given slope.
ArbitrLikvidat [17]

Hey there!!

What is slope-intercept form :

... y = mx + b

( a ) Given :

... ( 2 , -2 ) and slope=1.4

... y = mx + b

... -2 = 2×1.4 + b

... -2 = 2.8 + b

... -4.8 = b

The slope-intercept form :

... y = 1.4x - 4.8

( b ) Given :

... ( -1 , 4 ) and slope = -3.

y = mx + b

... 4 = -3×-1 + b

... 4 = 3 + b

... 1 = b

The slope-intercept form :

... y = -3x + 1

Note :

( m = slope and b = y-intercept )

Hope my answer helps!!

5 0
3 years ago
Read 2 more answers
Jennie is training for a race. On Tuesday She finished her sprint 0.305 second faster than on Monday. be How can you explain the
disa [49]
Have Monday equal to the variable X
Monday = X
Tuesday is 0.305 faster therefore
Tuesday = x+0.305
4 0
3 years ago
Read 2 more answers
What is the area of this triangle?
Contact [7]

Answer: 43.5

Step-by-step explanation:

A=\frac{1}{2}(8)(12)(\sin 65^{\circ}) \approx \boxed{43.5}

6 0
2 years ago
On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N
ivolga24 [154]

Answer:

LMN has a larger area

Step-by-step explanation:

Given

RST

R =(5,5)

S= (2,1)

T = (1,3)

LMN

L = (0,-1)

M= (2,-4)

N= (-2,-3)

Required

Compare both areas

The area of triangle is:

Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|

For RST, we have:

Area = \frac{1}{2}|5*1 - 2*5 + 2*3 - 1*1 + 1*5 - 5*3|

Area = \frac{1}{2}|-10|

Remove absolute signs

Area = \frac{1}{2}*10

Area = 10

For LMN, we have:

Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|

Area = \frac{1}{2}|0*-4-2*-1+2*-3--2*-4--2*-1-0*-3|

Area = \frac{1}{2}|-14|

Remove absolute signs

Area = \frac{1}{2}*14

Area = 7

<em>By comparing both areas, we can conclude that LMN has a larger area</em>

3 0
3 years ago
Clard graphed her reading fluenoy
Digiron [165]

Answer:

100

Step-by-step explanation:

To find mean/average you add all of them together, then divide by however number there are.

So

99+88+97+107+100+109 = 600/6 = 100

3 0
3 years ago
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