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never [62]
3 years ago
7

Can someone help me with this? its solving systems by substitution

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
8 0
Answer: x = 1 and y = 2

Given:
y = -3x + 5
5x - 4y = -3

Since we are given y, let’s sub it in the second equation.

5x - 4(-3x + 5) = -3
5x + 12x - 20 = -3
17x = 17
x = 1

After finding x, we can now find y.

5(1) - 4y = -3
-4y = -8
y = 2

Checking:

y = -3x + 5
2 = -3(1) + 5
2 = 2


5x - 4y = -3
5(1) - 4(2) = -3
-3 = -3
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Why did Christianity spread after Constantinople became the capital?
madreJ [45]

Answer:

Constantine made Christianity the Eastern Roman Empire's official religion.

3 0
4 years ago
The actual length of Lake Superior is 350 miles and the width is 160 miles. What's the length and width of the lake on a map if
pentagon [3]

The correct option is:   B.  length: 14 cm, width: 6.4 cm

<em><u>Explanation</u></em>

The actual length of Lake Superior is 350 miles and the width is 160 miles.

The scale is given as:  1 cm = 25 miles

Suppose, the length and width of the lake on the map are  x cm and y cm respectively.

First, the equation according to the <u>ratio of scaled length to the actual length</u> will be....

\frac{x}{350}=\frac{1}{25}\\ \\ 25x=350\\ \\ x=\frac{350}{25}=14

Now, the equation according to the <u>ratio of scaled width to the actual width</u> will be....

\frac{y}{160}=\frac{1}{25}\\ \\ 25y=160\\ \\ y=\frac{160}{25}=6.4

Thus, the length and width of the lake on the map will be 14 cm and 6.4 cm respectively.

7 0
3 years ago
Aaden is 1.75 meters tall. At 11 a.m., he measures the length of a tree's shadow to be 37.65 meters. He stands 32.9 meters away
Ratling [72]

The relationship between Aaden and the tree's height is an illustration of equivalent ratio

The height of the tree is 2.00 meters

At 11 a.m, we have:

\mathbf{Aaden = 1.75m}

\mathbf{Tree\ Shadow = 37.65m}

\mathbf{Aaden\ Shadow = 32.9m}

So, we make use of the following equivalent ratio

\mathbf{Aaden : Tree = Aaden\ Shadow : Tree\ Shadow}

This gives

\mathbf{1.75: Tree = 32.9: 37.65}

Express as fractions

\mathbf{\frac{Tree}{1.75} = \frac{37.65}{32.9}}

Multiply both sides by 1.75

\mathbf{Tree = \frac{37.65}{32.9} \times 1.75}

\mathbf{Tree = 2.00}

Hence, the height of the tree is 2.00 meters

Read more about equivalent ratios at:

brainly.com/question/18441891

8 0
3 years ago
From a sample of 9,750 Ajax trucks, 273 developed transmission problems within the first two years of operation. What is the pro
-Dominant- [34]

Answer:

0.028

Step-by-step explanation:

Let sample space, S, be the trucks.

Hence, n(S)= number of trucks=9750

Let E be the event of the truck failing within the first two years of operation.

Hence, n(E)=273

Therefore by classical definition of probability, the probability of occurrence of the event E, denoted by P(E), is

P(E)=\frac{n(E)}{n(S)}=\frac{number of trucks failed within two years of operation}{Total number of trucks}

⇒P(E)=\frac{273}{9750}=0.028

7 0
4 years ago
Which of the following describes a triangle?
Andre45 [30]
D three-dimensional also can I get a thanks
5 0
3 years ago
Read 2 more answers
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