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marta [7]
2 years ago
10

Y+2x=7 and x=3+y Solve each system of equations using substitution

Mathematics
1 answer:
Alex2 years ago
4 0

Answer:

y+2x=7 (1)

x=3+y (2)

Replace x = 3+y (2) into (1) => y+2(3+y) = 7

=> y = 1/3 and x = 3+1/3 =10/3

Step-by-step explanation:

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The bottom of a rectangular swimming pool has an area of 150 square meters and a perimeter of 50 meters. What are the dimensions
AysviL [449]

The  dimensions of the pool is 15m by10m

<h3>Area and perimeter of rectangle</h3>

A pool is rectangular in nature. If a rectangular swimming pool has an area of 150 square meters and a perimeter of 50 meters, then;

lw = 150

2(l+w) = 50

l + w = 25

where

l is the length

w is the width

From the equation 3

l = 25 - w

Substitute into 1

(25-w)w = 150
25w-w² = 150
w²-25w+150 = 0
w²-10w-15w+150 = 0

Factor

w(w-10)-15(w-10) = 0

w = 10 and 15

l = 150/10 = 15

Hence the  dimensions of the pool is 15m by10m

Learn more on dimension here: brainly.com/question/26740257

#SPJ1

7 0
1 year ago
Please help!!!! I need this ASAP Help
Nutka1998 [239]

Answer:

Step-by-step explanation:

If x is -1, then the point on the parabol is (-1,4)

If x is 0, then the point on the parabol is (0,-2)

If x is 1, then the point on the parabol is (1,-6)

8 0
3 years ago
Find the tenth term in the following geometric sequence. 8, 4, 2, 1, . . .
Marrrta [24]

Answer:

  c)  0.0156

Step-by-step explanation:

The general term a[n] of a geometric sequence is given in terms of the first term a[1] and common ratio r as ...

  a[n] = a[1]r^(n-1)

The given sequence has an initial term of a[1]=8 and a common ratio of 4/8=1/2. Then the general term is ...

  a[n] = 8(1/2)^(n-1)

The 10th term is then ...

  a[10] = 8(1/2)^(10-1) = 8(1/2)^9 = 8/512

  a[10] = 0.015625 ≈ 0.0156

7 0
3 years ago
Dorothy types 120 words per minute. How many words does Dorothy type in 1.75 minutes?
nirvana33 [79]
As you are looking for 1.75 minutes (or 105 seconds), the best thing to do is to find how many words she can type in 0.25 minutes (this is a quarter, and you can divide 1.75 by this). To find a quarter, you have to divide by 4, 120/4= 30. Therefore, every 15 seconds, Dorothy can type 30 words. As you've got 105 seconds, divide this by 15, and this gives you 7. Then multiply 30 by 7, and this gives you 210.
Dorothy can type 210 words in 1.75 minutes
Hope this helps :)  
8 0
3 years ago
Read 2 more answers
If angle 2 measures 155 degrees in the image below and what is the measurement of angle 1
Degger [83]
<h2>Answer:</h2>

<em>Angle 1 measures 25 degrees</em>

<h2>Explanation:</h2>

Hello! Remember you have to write complete questions in order to get good and exact answers. Here I'll assume the diagram shown below. In that figure, we know that:

\angle 1=? \\ \\ \angle 2=155^{\circ}

The figure shows that these two angles are supplementary, so they add up to 180 degrees. Therefore:

\angle 1+\angle 2=180^{\circ} \\ \\ Substituting \ \angle 2=155^{\circ}: \\ \\ \angle 1+155^{\circ}=180^{\circ} \\ \\ \\ Isolating \ \angle 1: \\ \\ \angle 1=180^{\circ}-155^{\circ} \\ \\ \boxed{\angle 1=25^{\circ}}

4 0
3 years ago
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