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Naddika [18.5K]
2 years ago
9

Write and solve a system of linear​ equations: The larger of two numbers is 18 more than 5 times

Mathematics
1 answer:
Kryger [21]2 years ago
8 0

Answer:

8 and - 2

Step-by-step explanation:

let x be the larger number and y the smaller , then

x = 5y + 18 → (1)

3x + 4y = 16 → (2)

substitute x = 5y + 18 into (2)

3(5y + 18) + 4y = 16 ← distribute parenthesis and simplify left side

15y + 54 + 4y = 16

19y + 54 = 16 ( subtract 54 from both sides )

19y = - 38 ( divide both sides by - 19 )

y = - 2

substitute y = - 2 into (1)

x = 5(- 2) + 18 = - 10 + 18 = 8

then larger number is 8 and smaller is - 2

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Amy mixed together 2.4 gal. of Brand A fruit drink and 5.6 gal. of apple juice. Find the percent of fruit juice in Brand A if th
stellarik [79]

Answer:

D

Step-by-step explanation:

The fruit punch has 2.4 gallons but x %

Apple juice has 5.6 gallons but 100 % or 1

The total mixture would then have 8 gallons and 82 %.

2.4+5.6=8

8×0.82 = 6.56

Then you would do 2.4x + 5.6(1) = 6.56

2.4x + 5.6 = 6.56

2.4x = 0.96

0.96/2.4 = 0.4 = 40%

Therefore, Brand A has 40% fruit juice

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3 years ago
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Murljashka [212]
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5 0
3 years ago
(06.06 MC) The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:
zheka24 [161]

Answer:

step 2

Step-by-step explanation:

theres a one in front of the () meaning it should have look like this

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7 0
3 years ago
Help me with the question in the pic please and thank u!
Zepler [3.9K]

Answer:

1.98

Step-by-step explanation:

In this problem, we are:

Given: ∠D = 26°, Hypotenuse (DF) = 4.5

To solve: EF

Now through the given, we are to focus on point D to solve for EF.

We need to find the relationship of point D to DF and EF.

The relationship here is sine.

Reason: \frac{opposite}{hypotenuse}

Through point D, DF is the hypotenuse and EF is the opposite side.

So let's solve this simply through algebra,

sin = \frac{opposite}{hypotenuse}

sin(26°) = \frac{EF}{4.5}

0.44 = \frac{EF}{4.5}

0.44 × 4.5 = EF

1.98 = EF

7 0
3 years ago
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