1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
astraxan [27]
3 years ago
7

SOLVE THE PROBLEM, PLEASE! :(

Mathematics
1 answer:
rjkz [21]3 years ago
6 0

Answer:

First Blank: 5

Second Blank: 5

Third Blank: -1

Fourth Blank: -1

Fifth Blank: 3

Step-by-step explanation:

10x+15y=15

-10x+2y=-32

__________

17y=-17

__   ___

17      17

y=-1

2x+3(-1)=3

2x-3=3

    +3  +3

________

2x=6

__  __

2     2

x=3

You might be interested in
Can someone help me answer these two questions? I wanna know what's right and wrong. Please correct me if Necessary
agasfer [191]
Remember that the general equation of a line is y=mx+b, where:
m is the slope, and b is the y-intercept; so to find the y-intercept, solve for y and identify b.
Now, to find the x-intercept, just replace y in your line equation with 0, and solve for x
Lets apply those procedures to our two questions:

1. - y-intercept:
-10x+5y=40
5y=10x+40
y= \frac{10x+40}{5}
y=2x+8
Notice that now we have our line equation in the form y=mx+b with m=2 and b=8; sine b is the y-intercept, we can conclude that the y-intercept of our equation is 8.

x-intercept:
First, lets replace y with 0:
0=2x+8
And then, we can solve for x to find our x-intercept:
2x=-8
x= \frac{-8}{2}
x=-4
We can conclude that our x-intercept is -4; thus the correct answer in your list is the fourth one: x-intercept is -4; y-intercept is 8.

2. y-intercept:
5x+4y=80
4y=-5x+80
y= \frac{-5x+80}{4}
y=- \frac{5}{4} x+20
We can conclude that our y-intercept is 20.

x-intercept:
0=- \frac{5}{4} x+20
- \frac{5}{4} x=-20
x=( \frac{4}{5} )(20)
x=16
We can conclude that our x-intercept is 16; thus the correct answer in your list is, once again, the fourth one: x-intercept is 16; y-intercept is 20.

7 0
3 years ago
Please help I need to get the quiz done<br><br> Save me Brian
Ira Lisetskai [31]

Answer:

x^2+8x+12

Step-by-step explanation:

The area of a rectangle formula is length times width.

The length of this rectangle is (x+2), and the width of this rectangle is (x+6)

Thus, the area of the rectangle is (x+6)(x+2). This can be expanded using FOIL.

First x(x)=x^2

Outer x(2)=2x

Inner 6(x)=6x

Last 6(2)=12

The two x terms combine, making 8x, and the answer is x^2+8x+12

8 0
3 years ago
A truck can travel 210 miles in the same time it takes a car to travel 350 miles. If the trucks rate is 20 miles per hour slower
nekit [7.7K]

Answer: The speed of the truck is 30 mph.

The speed of the car is 50 mph.

Step-by-step explanation:

Let x represent the speed of the car. If the trucks rate is 20 miles per hour slower than the car's, it means that the speed of the truck is

(x - 20) miles per hour.

Time = distance/speed

The truck can travel 210 miles in the same time it takes the car to travel 350 miles. It means that the time it would take the truck to travel 210 miles is

210/(x - 20)

Also, the time it would take the car to travel 350 miles is

350/x

Since the time is the same, it means that

210/(x - 20) = 350/x

Cross multiplying, it becomes

350(x - 20) = 210x

350x - 7000 = 210x

350x - 210x = 7000

140x = 7000

x = 7000/140

x = 50

The speed of the truck is

x - 20 = 50 - 20 = 30 mph

7 0
4 years ago
in a random sample of 150 voters, 60 support Trump. Set up a 96 percent confidence interval for the proportion of voters who sup
denis-greek [22]
Given:
n = 150, sample size
Denote the sample proportion by q (normally written as \hat{p}).
That is,
 q = 60/150 = 0.4, sample proportion.

At the 96% confidence level, the z* multiplier is about 2.082, and the confidence interval for the population proportion is
q \pm z^{*}[ \frac{q(1-q)}{ \sqrt{n} } ]

That is,
0.4 +/- 2.082* √[(0.4*0.6)/150]
= 0.4 +/- 0.0833
= (0.3167, 0.4833)
= (31.7%, 48.3%)

Answer: The 96% confidence interval is about (32% to 48%)
3 0
3 years ago
Molly's alarm clock fell to the floor and the glass face was broken. Molly measured the glass face so that she could order a new
lisov135 [29]
The area of the circle shaped glass is 78.54
7 0
4 years ago
Read 2 more answers
Other questions:
  • The furniture store orders 42 lamps. The lamps arrive packed in crates. Each crate holds 6 lamps. How many crates of lamps will
    10·1 answer
  • What is the quotient of 3/4 and 5/6?
    8·2 answers
  • What is 15x-10=-10x<br>what is -2+9=2x-7
    14·1 answer
  • Simplify. 25√+35√−5√
    6·2 answers
  • 3(2j-k) = 108, for j
    13·1 answer
  • My answer is D and I’m right!
    12·2 answers
  • Describe an animal adaptation and explain how it helps survival.
    6·1 answer
  • What is BD? please help
    6·2 answers
  • Look at the statement below.
    12·2 answers
  • The combined area of a square and a rectangle is 33 square meters. The width of the rectangle is 1 meter more than the length of
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!