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2 years ago

What is the correct answer please

Mathematics

1 answer:

Verizon [17]2 years ago

7 0

Answer:

Step-by-step explanation:

$\frac{15y-10}{3x}$ = 6 ( multiply both sides by 3x to clear the fraction )

15y - 10 = 18x ( add 10 to both sides )

15y = 18x + 10 ( divide terms by 15 )

y = $\frac{18}{15}$ x + $\frac{10}{15}$ , that is

y = $\frac{6}{5}$ x + $\frac{2}{3}$ → C

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Use the given figure to find the length of FG

frutty [35]

Answer:

FG = 19

Step-by-step explanation:

The two sides of the triangle are equal since JG is a perpendicular bisector

FG = HG

5x-6 = 3x+4

Subtract 3x from each side

5x-3x -6 = 3x+4-3x

2x-6 =4

Add 6 to each side

2x-6+6 =4+6

2x = 10

Divide by 2

2x/2 = 10/2

x =5

We want to find FG

FG = 5x-6

FG = 5(5)-6

= 25-6

= 19

4 0

3 years ago

Read 2 more answers

Evaluate (6.1 x 10-3) (8 x 109). Write your answer in scientific notation and standard form.

DerKrebs [107]

Answer:

Scientific Notation: 4.88 ×10^7

Standard Form: 4.88 ×10^7

Step-by-step explanation:

6.1×10^(-3) = 0.0061

8×10^9 = 8000000000

0.0061×8000000000 = 48800000

$= 4.88 \times {10}^{7}$

3 0

3 years ago

Two sisters like to compete on their bike rides. Tamara can go 4 mph faster than her sister, Samantha. If it takes Samantha 1 ho

Triss [41]

Answer:

16 mph

Step-by-step explanation:

You should first form equations related to this information

Given,Tamara can go 4 mph faster than her sister, Samantha

Lets take speed to ride a bike for Samantha to be= x mph

The speed to ride a bike for Tamara will be= x+4 mph

To cover a distance of 80 miles, Samantha takes 1 hour longer than Tamara

Introduce the formula for time; time=distance/speed=D/S where D is distance in miles and S is speed in miles per hour

Here time Samantha takes to cover a distance of 80 miles is 1 hour more than that taken by Tamara, hence

Time taken by Samantha

$=\frac{80}{x}$

Time taken by Tamara

$=\frac{80}{4+x}$

Equation for difference in time

$=\frac{80}{x} -\frac{80}{4+x} =1$

Solve the equation for difference in time to get value of x which is samantha speed

$=\frac{80}{x} -\frac{80}{x+4} =1\\\\\\=80(4+x)-80(x)=x(4+x)\\\\\\=320+80x-80x=4x+x^2\\\\\\=x^2+4x-320=0$

Solve quadratic equation by the quadratic formula where a=1,b=4 and c=-320

x=(-b±√b²-4ac)÷2a

x=(-4±√4²-4×1×-320)÷2×1

$x=\frac{-4+/-\sqrt{4^2-4*1*-320} }{2} \\\\\\x=(-4+/-\sqrt{1296} )/2\\\\\\x=\frac{-4+36}{2} =\frac{32}{2} =16$

Samantha speed is 16 mph

6 0

3 years ago

B. Write a mathematical expression using the information from your table to answer the following questions:

77julia77 [94]

Answer:

See below

Step-by-step explanation:

To find the mean, you take each data point, add them together, and divide it by the number of data points.

Problem 1

Mean of High Temperatures = (65+67+54+52+63+69+75)/7 = 445/7 = between 63 and 64

Problem 2

Mean of Low Temperatures = (61+55+37+29+34+42+54)/7 = 312/7 = between 44 and 45

6 0

2 years ago

Walter has saved 25% of the money he needs to buy a new pair of shoes. If he saved $21, how much money does the pair of shoes co

cluponka [151]

Answer:

The pair of shoes is $84

Step-by-step explanation:

he saved 1/4 (25%) of what he needs to buy the shoes. 25 x 4 =100 =full price

21 x 4 =84. and also if you can do 84 - 25% on a calculator, the 25% would turn to 21, or at least in mine it did. Total price of shoes - money saved = money needed to buy shoes, which is $63.

dang i wrote a lot, but hope this helps

7 0

3 years ago