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3 years ago

Five times the sum of a number and 27 is greater than or equal to six times the sum of that num

Mathematics

1 answer:

stepladder [879]3 years ago

7 0

Question:

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.

What is the solution set of this problem?

Answer:

$x \leq -21$

Step-by-step explanation:

Given

<em>Represent the number with x</em>

So:

$5 * (x + 27) \geq 6 * (x + 26)$

Required

Determine the solution set

$5 * (x + 27) \geq 6 * (x + 26)$

Open Both Brackets

$5 * x + 5 * 27 \geq 6 *x + 6 * 26$

$5x + 135 \geq 6x + 156$

Collect Like Terms

$5x - 6x \geq 156-135$

$- x \geq 21$

Multiply both sides by -1

$x \leq -21$

Hence, the solution set is $x \leq -21$

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antoniya [11.8K]

Answer:

(a)

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Trade in allowance she has =$1000

So, the reduced price= $14,390-$1,000=$13,390.

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Therefore, $11,890 money will she borrow in an auto loan.

(b)

To find the monthly(M) auto payment be:

Since the monthly auto payment in 4 year with 2.6% APR(Annual percentage rate)

Now, Monthly Auto payment(M) be :

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On solving we get, M=$261.082

Therefore, $261.082 will be her monthly auto payment.

(c)

Total amount of interest(A) she will pay ,

A=total payment in 4 years-total loan amount= $(\$261.082\cdot 48)-11,890$

=$12,531.936-$11,890=$641.936

So, the total amount of interest she will pay is, $641.936

(d)

Rhianna total payment for the car = total payment in 4 years+Down payment= $(261.082\cdot 48)+$1500$ =$12531.936+$1500=$14,031.936

(e)

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From the given Data in the picture:

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2 years ago

Pls i will give brainliest<br> solve the equation: 3x^3-x^2=x^2

lora16 [44]

Answer:

x = 0 , 2/3

Step-by-step explanation:

3x^3-x^2=x^2

3x^3-2x^2=0

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Now split into two equations:

x^2=0

x=0

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2 years ago

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Nathan's boy scout troop is making M&M and peanut trail mix for a future hike. The M&M's cost $3 per pound and the peanu

sammy [17]

X - pounds of the M&M`s;
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x + y = 30
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They bought 14 pounds of M&M`s.

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3 years ago

Raise c to the 8th power!

Agata [3.3K]

Answer:

c^8

Step-by-step explanation:

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2 years ago

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Malliki Williams earned a $48,000 from royalties on her cookbook.She paid a 28% income tax on these royalties. The balance wasin

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Answer:

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Step-by-step explanation:

First, we need to get the total tax paid by Malliki Williams

To get that, we have to multiply her income tax (28%) by total royalties ($48000)

28% of $48000 = $13440

Balance after tax = $48000 - $13440

Balance = $34560

She invested some of the balance ($34560) at the rate of

3.25% ---- First investment

1.75% --- Second investment

Assume her first investment is x dollars

Definitely, her second investment would be $34560 - x

3.25% of x + 1.75% (34560 - x ) = 904.8

0.0325x + 0.0175(34560-x) = 904.8 ----- Open the bracket

0.0325x + 604.8x - 0.0175x = 904.8 ------ Collect like terms

0.0325x -0.0175x =904.8 - 604.8

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x = 300/0.015

x = 20000

Remember that x represents her first investment

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