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3 years ago

9 less than the sum of x and 5

Mathematics

1 answer:

saw5 [17]3 years ago

7 0

Answer:

Given the statement:

9 less than the sum of x and 5

"Sum of x and 5" means $x+5$

" $\text{less than}$ " means subtract

then;

the statement 9 less than the sum of x and 5 becomes;

⇒ $(x+5) - 9$

⇒ $x+5-9 = x-4$

Therefore, the expression for the given statement is $(x+5) - 9$

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the weight of a cylindrical can varies jointly with the height of the can and the square of the cans radius. A 4-inch high can w

Bess [88]

With the information given we have:
$W=k.h.r^2$
Where W is the weight, k is the proportionality constant and r is the radius of the can's radus. Remember that the weight varies jointly so this key word means that you need to multiply the mentiones parameters by a proportionality constant k.
We simply need to reorganize the expression and isolate k for the frst answer:
$k=\frac{W}{h.r^2}$
Replacing by all the appropiate values we get:
$k=\frac{16}{(1.5)^2.4}\approx1.78$
For the second part knowing k we have:
$W=\frac{16\times 4.5\times 2^2}{(1.5)^2\times 4}=32 ounces$

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4 years ago

joey wants to buy $4,000 vehicle with 10% down for three years at 12% interest. What will his monthly payment be?

Nataly [62]

Answer:

$119.57

Step-by-step explanation:

We have to find present value of annuity to find the monthly payment.

Given,

Present value, PV = $4,000

Down payment = $4,000 × 10% = $400

Remaining present value = $(4,000 - 400) = $3,600

Interest, i = 12% = 0.12

As we need monthly payment, the interest rate will be monthly = 0.12/12 = 0.01.

Number of period, n = 3

monthly payment, m = 12

We know,

Present value of annuity = PMT × $\frac{1 - (1 + \frac{i}{m})^{-n*m} }{\frac{i}{m} }$

$3,600 = PMT × $\frac{1 - (1 + \frac{0.12}{12})^{-3*12} }{\frac{0.12}{12} }$

or, $3,600 = PMT × 30.1075

or, PMT = $119.57

Monthly payment should be $119.57

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3 years ago

a bag contains 4 red marbles, 6 blue marbles and 10 yellow marbles. if you reach in the bag and radomly pull out one marble, wha

inna [77]

Answer:

50%

Step-by-step explanation:

4 and 6 make 10.

and there is 10 yellow marbles.

meaning it can be split 50% -50

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4 years ago

Finding interior angles of triangles<br>

AnnZ [28]

Answer:

A triangle is 180 degrees. Imagine that two angles would be given as maybe 89 and 30 degrees. With these two angles already given you can find the last third angle by adding the 2 given angles and subtracting it from 180. There fore it would look like 180-119=61. 61 would be your unknown angle degree.

<u>If you meant something else please comment I will help you more.</u>

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3 years ago

In the expression 3x+7-9n+12, there are how many terms? *

azamat

There are four terms in that expression.

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3 years ago

Read 2 more answers