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QveST [7]
3 years ago
12

Write an inequality for x that would give this isosceles triangle and perimeter of at least 137 ft. 4x+3 2x+7

Mathematics
1 answer:
neonofarm [45]3 years ago
5 0

Answer:

The inequality is 8x+17\geq 137

Step-by-step explanation:

Given : The isosceles triangle with base and side 4x+3, 2x+7.

And the perimeter is at least 137ft.

To write : An inequality for x

Solution : Let the base b=4x+3 and sides s=2x+7

The perimeter of Isosceles triangle is P=2s+b

where s=side and b=base

Now, we have given that perimeter is at least 137 ft.

Therefore, the inequality form is

2(2x+7)+(4x+3)\geq 137

4x+14+4x+3\geq 137

8x+17\geq 137

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puteri [66]

Answer:

It was 26.5 degrees colder at midnight than at 2:00 pm

Step-by-step explanation:

We have that:

At 2:pm, it was 4 degrees.

The temperature dropped 2.5 degrees per hour until 9:00 pm.

From 2pm to 9pm, there are 7 hours. 2.5 per hour, it was 4 degrees at 2 pm.

So at 9 pm the temperature is:

4 - 2.5*7 = -13.5

The temperature dropped another 9 degrees by midnight.

At midnight, the temperature is -13.5 - 9 = -22.5 degrees

How much colder was it at midnight than at 2:00 pm?

2pm: 4 degrees

Midnight: -22.5 degrees

How much coldren

-22.5 - 4 = -26.5

It was 26.5 degrees colder at midnight than at 2:00 pm

6 0
3 years ago
2y-10(y-3)=70<br><br> Help!! ASAP
kirill115 [55]

Answer:

y = -5

Step-by-step explanation:

2y - 10y + 30 = 70

-8y + 30 = 70

-8y = 70 - 30

-8y = 40

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4 0
4 years ago
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Solve the following equation. 3(2x - 4) = 4(x + 1) x=?
mrs_skeptik [129]

Answer:

x=8

Step-by-step explanation:

3\left(2x-4\right)=4\left(x+1\right)

Expand:

3\times 2x-3\times 4=4x+4\times 1

6x-12=4x+4

Add 12 to both sides:

6x-12+12=4x+4+12

6x=4x+16

Subtract 4x from both sides:

6x-4x=4x+16-4x

2x=16

Divide both sides by 2:

\frac{2x}{2}=\frac{16}{2}

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4 years ago
mr. and mrs. Rainer took out a $240,000 loan to purchase their home. If the interest rate on the loan is 1.2% compounded bimonth
Katyanochek1 [597]

Answer:

$103968.11.

Step-by-step explanation:

Given information:

Principal amount = $240,000

Rate of interest = 1.2% = 0.012

Number of years = 30

Number of times in an year = 24

Formula for amount:

A=P(1+\dfrac{r}{n})^{nt}

where,

P is principal, r is rate of interest, t is number of years, n is number of times interest compounded in a year.

A=240000(1+\dfrac{0.012}{24})^{24(30)}

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