Mathematics High School

5.Regarding the equations below. What is the value of x?

5x + 2y = 4
x – 3y = –23

Answers

Answer 1

Answer:

x=−2

y=7

Step-by-step explanation:

5x+2y=4

x−3y=−23

In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

5x+2y=4,x−3y=−23

To make 5x and x equal, multiply all terms on each side of the first equation by 1 and all terms on each side of the second by 5.

5x+2y=4,5x+5(−3)y=5(−23)

Simplify.

5x+2y=4,5x−15y=−115

Subtract 5x−15y=−115 from 5x+2y=4 by subtracting like terms on each side of the equal sign.

5x−5x+2y+15y=4+115

Add 5x to −5x. Terms 5x and −5x cancel out, leaving an equation with only one variable that can be solved.

2y+15y=4+115

Add 2y to 15y.

17y=4+115

Add 4 to 115.

17y=119

Divide both sides by 17.

y=7

Substitute 7 for y in x−3y=−23. Because the resulting equation contains only one variable, you can solve for x directly.

x−3×7=−23

Multiply −3 times 7.

x−21=−23

Add 21 to both sides of the equation.

x=−2

The system is now solved.

x=−2,y=7

Graph if needed:

5.Regarding The Equations Below. What Is The Value Of X?5x + 2y = 4 X 3y = 23

Related Questions

245,600,000,000 In scientific notation

Answers

Answer: 2.456 x 10^11

Step-by-step explanation:

You move the decimal to the left until there’s no more zeroes

Answer:

there :D

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

2.456 ×  10  to the power of 11

What is the volume of the prism?

Answers

Answer:

volume of hexagonal prism = area of base * perpendicular height

Step-by-step explanation:

Select the relation that IS a function.
a. {(-6, -5), (3, 2), (10, 8), (3, 3)}
b. {(-2, -1), (5, -1), (16, 3), (-3, -9)}
c. {(5, 10), (-3, 10), (-3, -10), (4, 7)}
d. {(21, 11), (21, 10), (21, 9), (21, 8)}

Answers

Answer:

B is the function.

Step-by-step explanation:

since there is one y value for every x value we know that is a function

A taxi travels for 30 minutes at a speed of 28 mph. Calculate how far it travles.

Answers

Answer:

14 m

Step-by-step explanation:

Speed = 28 mph

Time = 30 minutes = 30/60 = 1/2 hour

Distance  = speed * time

               = 28 * [tex]\frac{1}{2}[/tex]

                = 14 m

Answer:

14 miles

Step-by-step explanation:

there are 72 boys and 90 girls on a math team for the next competition mr. Johnson would like to arrange all the students in equal rows with only girls or only boys in each row. What is the greatest number of students that can be in each row ​

Answers

the greatest number of students that can be in each row is 18 !!:)

A school store has 1200 pencils and sells 25 per day the manager reorders when the number of pencils in stock is 650

Answers

Answer:

He reorders after 22 days

Answer:

(1200÷25) ÷ans= days

Step-by-step explanation:

A handbag contains seven coins and three
keys. Two items are taken out of the handbag
one after the other and not replaced. Find
the expected number of keys taken out of the
handbag

Answers

Answer:

0.59998

Step-by-step explanation:

Number of keys = 3

Number of coins = 7

Total = 10

Number of items taken out = 2

Expected number of keys taken out:

Let x = Number of keys taken out

X = 0

1st pick = 7/10

2nd pick = 6/9

7/10 * 6/9 = 0.46666

X = 1

(7/10 * 3/9) + (3/10 * 7/9) = 0.46666

X = 2

(3/10 * 2/9) = 0.066666

X : ____ 0 ______ 1 _______ 2

P(X): _0.46666__0.46666 _0.06666

Expected value :

(0*0.46666) + (1*0.46666) + (2*0.06666)

= 0.59998

Statistics help please!!!

I have no idea what to do!

Zoom in to see clearer!

Please don't answer just for points if you don't know it I really need help​

Answers

Answer:

see i have posted my pic

Step-by-step explanation:

please mark me as brainliest

Complete steps 2 and 3 to solve the system of equations.

y = 4x – 5,

y = –3

Answers

Answer:

Point form: ([tex]\frac{1}{2}[/tex],-3)

Equation form: x=1/2  y=-3

Step-by-step explanation:

hope it helps ;)

Select 3 side lengths that can form a right triangle.

Answers

Answer:

16 inches, 63 inches, and 65 inches

Step-by-step explanation:

Edit: I had to change cause it was wrong

Answer:

16 inches, 63 inches, and 65 inches

Step-by-step explanation:

16 squared = 256

63 squared = 3969

16 squared + 63 squared = 4225

65 squared = 4225

A^2 +B^2 = C^2

What is the answer, What is mCD?

Answers

Answer:

In English, we would call these terms the “Greatest Common Denominator” and the “Least Common Multiple”. It looks like in Italian at least, MCM stands for “Minimo Comune Multiplo” (aka Least Common Multiple) and MCD stands for “Maximo Comune Divisor” (aka Greatest Common Denominator).

Step-by-step explanation:

I hope it works

A triangle with base 8.2 cm and height 5.1 cm has an area of.

Answers

Answer:

Triangle area = 20.91 cm^2

Step-by-step explanation:

area = 1/2(b*h)

area = 1/2(8.2*5.1)

area = 1/2(41.82)

area = 20.91 cm^2

An 18-feet ladder is leaning against the side of a building. The angle between the ladder and the ground is 30°.
How high up on the building, from the ground, is the top of the ladder?

Answers

9514 1404 393

Answer:

  9 feet

Step-by-step explanation:

The sine relation applies.

  Sin = Opposite/Hypotenuse

  sin(30°) = height/(18 ft)

  height = (18 ft)sin(30°) = (18 ft)(1/2)

  height = 9 ft

The ladder extends 9 feet up the side of the building.

Plss help !!!!!!!!!!!!!!!!

Answers

Answer: C (324)

Step-by-step explanation:

He is making $54 a day working 6 hours a day. 54 x 6 = 324 meaning in 6 days he would make $324.

Answer:

C. 324 thats the answer my cousin solved this

GIVING BRAINLIEST!
What is the slope of the positive graph?

Answers

Answer:

A positive slope means that two variables are positively related—that is, when x increases, so does y, and when x decreases, y decreases also. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises.

Step-by-step explanation:

A coffee shop sells a coffee refill mug for $6.75. Each refill costs $1.25. Last month Kim spent $31.75 on a mug and refills. Write an equation you can use to find the number of refills Kim bought. How many refills did Kim buy?

Answers

Answer:

equation: x(1.25) + 6.75 = 31.75 refills: 20

Step-by-step explanation:

The mug costs $6.75, and you aren't buying multiple cups, so that number stays the same. The number of refills is "x" since we do not know the amount. Next to "x" we multiply 1.25 for the cost of each refill. So now we have "x(1.25)" then we add $6.75 to the equation, for the mug price. Along with the total at the end. To which we now have "x(1.25) + 6.75 = 31.75"

Now we solve the equation. First, subtract 6.75 from each side

x(1.25) + 6.25 = 31.75

            -6.25    -6.25

Now we have "x(1.25) = 25" So we have to divide each side by 1.25

x(1.25/1.25) = 25/1.25

                x = 20

Therefore, Kim bought 20 refills. To check our work we can replace x with 20 in the original equation.

20(1.25) + 6.75 = 31.75

        25 + 6.75 = 31.75

                31.75 = 31.75

I'm not the best at explanations, but I hope this helped! :)

2.
Write an equation of a line with the given slope and y-intercept.

m = 1, b = 4


A. y = –1x + 4


B. y = 4x + 1


C. y = x + 4


D. y = x – 4

Answers

This answer to this is C. y=x+4

Answer:

the answer is C

Step-by-step explanation:

You would take and the y axis would equal x since the m is 1 it would just be x and then since you have the 4 you would just add it to the y=x and then it would be y=x+4

Which equals the ratio of sin A to the nearest hundredth?

Answers

Answer:

we cant answer if we dont know what sin A is

Solve the system of equations by graphing.
y = 2x + 5
y = -1/2x
Where do the two lines cross?

Answers

The answer is (-2,1) or x is -2 and y is 1. You just need to know how coordinate plane works


What is the range of the function y=-2/3x-10
given a domain of{-9,-3,0,3,9}

Answers

98

kqprhwierui4roqwhrdkej1wddkbrdh

A local dump truck is carrying 13.4 tons of gravel. How many pounds is it hauling?

Answers

Answer:

26,800 pounds of gravel

Step-by-step explanation:

13.4 tons is equal to 26,800 pounds

The answer to this problem

Answers

Answer:

Check pdf

Step-by-step explanation:

Answer:

p ≥ − 9

Step-by-step explanation:

what is the 11.2???

HELP PLS Last year 15 students earned an A in math class. If I had 128 students, what percent of students did NOT earn an A?

Answers

Answer:

88%

Step-by-step explanation:

128-15=113

113/128=.882

88%

-4(8h-5)= -16 round to the nearnest hundreth

Answers

Answer:

h=9/8 or 1.125 but since yo said round it's 1.13

Step-by-step explanation:

Quinn walked a total of 8.76 miles in a walk-a-thon. If his average speed was
2.4 miles per hour, how long did it take Quinn to complete the walk?

Answers

Answer:

3.65 hours

Step-by-step explanation:

8.76/2.4=3.65

Answer:

3.65

Step-by-step explanation:

T=D÷V

8.76÷2.4= 3.65

circus has 20 performers, of which 6 are dancers.

What is the probability that a randomly selected performer will be a dancer?

Write your answer as a fraction or whole number.

Answers

Answer: 1/4

Step-by-step explanation:

HELP PLEASE!!!!!!!!!!!!!!!!!!!

Answers

Answer:

h=20

i=75

g=55

Step-by-step explanation:

20 is equal to h

75 is equal to i

g looks like its in the middle of them so you would subtract the two and be left with 55

g=55

im not the best at math so im sorry if its wrong.

Answer:

H= 20

I= 75

G= 20

Step-by-step explanation:

find the area of the triangle​

Answers

Answer:

area = ½bh

= 1/2×11× 15

= 82.5 Square inches

82.5 Square InchesStep-by-step explanation:15x11/2 = 82.5

Can you guys help I'm having trouble.

Answers

Answer:

given radius =6

Area of triangle =1/2*base*height

=1/2*6*6=18

area of quadrant =1/4πr^2

=1/4*22/7*6*6=22/7*9=198/7=28.2

area of shaded region =area of quadrant -area of triangle

=28.2-18=10.2

Hey can anyone please help me with these t questions asap?

Answers

Answer:

21) 27

22) 2 (the third one has a few people in it)

Step-by-step explanation:

9 dozen= 12 to a dozen

108

=27

Answer:

21. 27 22. 6

Step-by-step explanation:

21 is 27 because 9 times a dozen (12) times equals 108.  !08 splited by 4 is 27.  

For 22 112-70 is 42.  There are 7 seats per row so 42/7= is 6 empty rows.

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