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Lemur [1.5K]
3 years ago
11

Solve the system of equations y = x + 5 and y = 5x - 11 using a graphical method.

Mathematics
1 answer:
tresset_1 [31]3 years ago
4 0

You can use substitution for this.

x+5 = 5x -11

Combine like terms

16=4x

Divide 4 on both sides to isolate the x

x=4

Plug x=4 to one of the equations

y= 4 +5

Combine like terms

y=9

So the answer is A. (4,9)

I hope this helps you out a bunch hun :)

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Answer: 37

Step-by-step explanation: Since you drove 74 miles in 2 hours, you would divide 74 by 2 to find the miles per hour, which would be 37.

3 0
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What is the calculation for determining simple interest and compound interest? Borrowing if borrowed $20,000 for 5 years at a 4%
yarga [219]

Answer:

If using simple interest, the formula is:

= Amount * ( 1 + rate * time)

= 20,000 * ( 1 + 4% * 5)

= $24,000

Interest = Balance after 5 years - Investment

= 24,000 - 20,000

= $4,000

Using Compound Interest:

= Amount * ( 1 + rate)^time

= 20,000 * ( 1 + 4%)⁵

= $24,333.06

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6 0
3 years ago
What is 2/3 ÷ 4/5 = ?
11Alexandr11 [23.1K]

Answer:

5/6

Step-by-step explanation:

  • 2/3 ÷ 4/5 =                ⇒  <em>changing division to multiplication by reciprocal of the second fraction</em>
  • 2/3 × 5/4 =                ⇒  <em>simplify and multiply numerators and denominators</em>
  • 5/6                           ⇒  <em>here is the answer</em>
3 0
4 years ago
The figure below shows the design of a truss to support the weight of a roof. In this truss design, ∠A⩭∠D and ĀF⩭DF.
bearhunter [10]

Answer:

m\angle A= 30^{\circ}

Step-by-step explanation:

In the question, we're given \angle A\cong \angle D. Therefore, the measure of these two angles must be equal.

To find the value of x, set these two angles equal to each other:

4x-26=x+16

Add 26 and subtract x from both sides:

3x=42

Divide both sides by 3:

x=\frac{42}{3}=14

Since \angle A was labelled as 4x-26, substitute x=14 to find its measure:

\angle A=4(14)-26,\\\angle A=56-26,\\\angle A=\boxed{30^{\circ}}

You can also substitute x=14 into the label of angle D as angle A is congruent to angle D for easier calculations (14+16=\boxed{30^{\circ}}).

5 0
3 years ago
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