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3 years ago

Solve each system by substitution y=-4x + 5 y= -2x + 1

2 answers:

5 0

y=−4x+5;y=−2x+1Step: Solvey=−4x+5for y:Step: Substitute−4x+5foryiny=−2x+1:y=−2x+1−4x+5=−2x+1−4x+5+2x=−2x+1+2x(Add 2x to both sides)−2x+5=1−2x+5+−5=1+−5(Add -5 to both sides)−2x=−4−2x−2=−4−2(Divide both sides by -2)x=2Step: Substitute2forxiny=−4x+5:y=−4x+5y=(−4)(2)+5y=−3(Simplify both sides of the equation)

x=2 and y=−3

MrRa [10]3 years ago

4 0

[-2x+1=-4x+5] is the first step and isolate for x -2x+1=-4x+5: x+2 then you got y=-3 the answer will be x=2, y=-3

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Factor with step by step explanation. n2+40-28

hjlf

N2+40-28=
Combine like terms
n2+40-28=n2+12
Factor out 2
n•2+12=2(n+6)
Therefore the answer is 2(n+6)

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3 years ago

a crew workers paved 2/15 mile in 20 minutes. if they work at the same rate what portion of a mile will they pave in one hour?

ANEK [815]

Since 20 min is 1/3 of a mile 20 min*3=1 hour. then u multiply 2/5 by 3 to get 6/5.

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3 years ago

What is 10 times 10 times 10 times 10 times 10 in exponent form and word form what is the answer

jolli1 [7]

$10^{5}$ in exponent form and in word form it is 10 to the 5th power

5 0

3 years ago

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If you flip a coin and roll a 6-sided die, what is the probability that you will flip a tails and roll at least a 2?

Finger [1]

Step-by-step explanation:

Flipping a tails and rolling at least a tail are 2 independent events: they don't affect each other. So, to get the probability of both happening, we just need to multiply the probability of one by the probability of the other. he probability of rolling at least a 2 is 5/6.

4 0

2 years ago

There is 1000cm3 of aluminum available to cast a trophy that will be in the shape of a right square pyramid. Is this enough alum

stealth61 [152]

The 1000 cubic centimeters of aluminium is enough for aluminium a trophy that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

Step-by-step explanation:

The given is,

Volume of aluminium available is 1000 cubic centimeters

Shape of trophy is right square pyramid

Trophy has a base edge of 10 cm and slant height of 13 cm

Step:1

Formula for volume of right square pyramid,

$Volume, V = a^{2}\frac{h}{3}$ .....................................(1)

Where, a - Base edge value

h - Height of pyramid

From given,

a = 10 cm

h = 13 cm

Equation (1) becomes,

$= 10^{2}(\frac{13}{3} )$

$= (100)(4.333)$

$= 433.33 cm^{3}$

Volume of trophy = 433.33 cubic centimeters

Compare with the volume of available aluminium and volume of right square pyramid,

$Volume of available aluminium > Volume of right square pyramid$

$1000 cm^{3} > 433.33 cm^{3}$

So, the given volume of aluminium is enough to make right square pyramid shaped trophy.

Result:

The 1000 cubic centimeters of aluminium is enough for aluminium a trophy that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

6 0

3 years ago

Read 2 more answers