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Roman55 [17]
3 years ago
10

Solve the following system of equations using the substitution method.

Mathematics
1 answer:
eduard3 years ago
7 0
The correct answer would be D, (3,-4). For the first equation, x=2y+11 would be 3=2(-4)+11 which turns to 3=-8+11 which equals 3=3 so it’s true. For the second equation, 7x+2y=13 which becomes 7(3)+2(-4)=13 making it 21-8=13 which turns into 13=13 so this is true as well.
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20/60+15/60=35/60&gt;<br> What dose it equal
stepladder [879]

Answer:

\dfrac{7}{12}

Step-by-step explanation:

1. Find the Greatest Common Factor of the numerator and denominator.

The prime factors of 35 are             <u>5</u>,     7,                              35  

The prime factors of 60 are 2, 3, 4, <u>5</u>, 6,     10, 12, 15, 20, 30,      60

The only common factor of 35 and 60 is 5.

2. Divide the numerator and denominator by the Greatest Common Factor.

\dfrac{35}{60} = \mathbf{\dfrac{7}{12}}

8 0
3 years ago
Jessie works at a car manufacturing plant. One day she installed a total of 46 axles, 2 in each car she worked on. She wants to
shtirl [24]

Answer:

<h2>             23 cars</h2>

Step-by-step explanation:

total number of cars:    x

the total number of axles:    46

and the number of axles  installed per car:   2

2 axles in each car, then total instaled axles:  2•x

2•x = 46

x = 46÷2

x = 23

5 0
3 years ago
If cos(x) = Three-fourths and tan(x) &lt; 0, what is cos(2x)?
makvit [3.9K]

Step-by-step explanation:

The value of sin(2x) is \sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

8

15

How to determine the value of sin(2x)

The cosine ratio is given as:

\cos(x) = -\frac 14cos(x)=−

4

1

Calculate sine(x) using the following identity equation

\sin^2(x) + \cos^2(x) = 1sin

2

(x)+cos

2

(x)=1

So we have:

\sin^2(x) + (1/4)^2 = 1sin

2

(x)+(1/4)

2

=1

\sin^2(x) + 1/16= 1sin

2

(x)+1/16=1

Subtract 1/16 from both sides

\sin^2(x) = 15/16sin

2

(x)=15/16

Take the square root of both sides

\sin(x) = \pm \sqrt{15/16

Given that

tan(x) < 0

It means that:

sin(x) < 0

So, we have:

\sin(x) = -\sqrt{15/16

Simplify

\sin(x) = \sqrt{15}/4sin(x)=

15

/4

sin(2x) is then calculated as:

\sin(2x) = 2\sin(x)\cos(x)sin(2x)=2sin(x)cos(x)

So, we have:

\sin(2x) = -2 * \frac{\sqrt{15}}{4} * \frac 14sin(2x)=−2∗

4

15

∗

4

1

This gives

\sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

8

15

6 0
2 years ago
Read 2 more answers
The seventh grade class at a Christian school had 24 students enrolled at the beginning of the school year. At the end of the sc
Darya [45]

Answer:

12.5%

Step-by-step explanation:

27-24=3

3/24=1/8

1/8=0.125

0.125 in percent is 12.5%

7 0
2 years ago
Find the value of x and y. This has to do with geometry
Ray Of Light [21]

Answer:

x = 30°

y = 30°

Step-by-step explanation:

By inscribed angle theorem:

x = y =  \frac{1}{2}  \times 60 \degree \\  \\ x = y = 30 \degree

4 0
3 years ago
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