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g100num [7]
3 years ago
14

Solve 8x+2y=13 and 4x+y=11 using substitution

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
4 0

Answer:

No Solution

Step-by-step explanation:

8x+2y=13                         4x+y=11               Subtract 4x on both sides to isolate y

                                        y=-4x+11       <---- Substitute this equation into the                                            

                                                                     equation 8x+2y=13

8x+2(-4x+11)=13

8x-8x+22=13

22=13 (not true)

No Solution          

                     

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Line l and Line m are parallel lines that have been rotated 180°. The resulting images are show as l' and m'. How can you descri
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They have not changed. They are still parallel.
7 0
3 years ago
Approximate the number to the nearest (a) integer and (b) tenth.<br> Please help
lakkis [162]

Answer:

a. 3

b. 2.9

Step-by-step explanation:

\sqrt[3]{25} ≈2.92

a. An integer is a whole number. the nearest whole number to 2.92 is 3.

b. 2.92 rounds down to 2.9 when rounding the the tenths' place.

6 0
3 years ago
Cara earns a base pay of $1,800 per month at a car dealership plus a commission of 6% of her sales. What are Cara’s total earnin
k0ka [10]

Cara’s total earnings in a month in which she sells $40,000 worth of merchandise is $ 4200

<h3><u>Solution:</u></h3>

Given that Cara earns a base pay of $1,800 per month at a car dealership plus a commission of 6% of her sales

Let us first calculate commission earned from selling $40,000 worth of merchandise

commission earned from selling $40,000 = 6 % of $ 40,000

\text {commission earned from selling } \$ 40,000=\frac{6}{100} \times 40,000

\text {commission earned from selling } \$ 40,000=2400

Also given that Cara earns a base pay of $ 1800 per month

So Cara’s total earnings in a month in which she sells $40,000 worth of merchandise is calculated by adding commission earned $ 2400 to base pay $ 1800 per month

<em>Cara’s total earnings in a month = base pay + commission earned</em>

Cara’s total earnings in a month = $ 1800 + $ 2400 = $ 4200

Thus the total earning of Cara in that month is $ 4200

6 0
3 years ago
A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 88 feetfeet less than th
Y_Kistochka [10]

Answer: The length of the ladder is 20 feet.

Step-by-step explanation:

Given : A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 8 feet less than the length of the ladder.

Mathematically,

Let x be the length of the ladder then

Distance from ground to the top of the ladder = x- 8

If distance from the bottom of the ladder to the building is 16 feet.

Since ground makes right angle with building , so the triangle made by ladder should be a right triangle.

By Pythagoras theorem of right triangle , we hae

(Hypotenuse)=(Perpendicular)^2+(Base)^2

\Rightarrow\ x^2=(x-8)^2+16^2\\\\\Rightarrow\ x^2=x^2+64-16x+256\ [\text{Using identity :} (a-b)^2=a^+b^2-2ab]\\\\\Rightarrow 0=-16x+320\\\\\Rightarrow\ 16x=320\\\\\Rightarrow\ x=\dfrac{320}{16}=20

Hence, the length of the ladder is 20 feet.

4 0
3 years ago
What fraction is 600ml of 1 l?
Ray Of Light [21]
1 L = 1000ml

600/1000

= 6/10

= 3/5
6 0
3 years ago
Read 2 more answers
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