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enyata [817]
3 years ago
9

Expand the expression and combine like terms: 4(1.75y−3.5)+1.25y

Mathematics
1 answer:
Bas_tet [7]3 years ago
8 0
4(1.75y−3.5)+1.25y . First multiply through with 4 the numbers in the parentheses. 7y➖ 14 ➕ 1.25y add 1.25y to 7y That will be 8.25y So the answer will be 8.25y ➖ 14
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What is the ratio for the surface areas of the rectangular prisms shown below, given that they are similar and that the ratio of
Harrizon [31]

Answer:

9 : 1

Step-by-step explanation:

given a linear ratio = a : b, then the corresponding area ratio is

a² : b²

Here the linear ratio of their edges = 3 : 1, hence

ratio of surface areas = 3² : 1² = 9 : 1


4 0
3 years ago
Gordon types 3,024 words in 42 minutes. Find the unit rate.
emmasim [6.3K]

Answer:

72 words per minute

Step-by-step explanation:

\frac{1}{y}= \frac{42}{3024}

42 × y = 1 × 3024

42y = 3024

42y ÷ 42 = 3024 ÷ 42

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8 0
3 years ago
Write each mixed number as a percent: 7 3/10
zubka84 [21]

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730%

Step-by-step explanation:

6 0
3 years ago
Consider △ABC. Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 13, the length of B C is 1
bija089 [108]

Answer:

<em>22.62°</em>

Step-by-step explanation:

Considering △ABC.  If angle B C A is a right angle, then;

m<BCA = 90 degrees

Given also

AB = 13

BC = 12

AC = 5.

According to SOH, CAH TOA;

Sin <B = AC/AB

Cos <B = BC/AB

Substitute the given values

Sin B = 5/13

B = arcsin(5/13)

B = 22.62

Cos B = 12/13

B = arccos (12/13)

B =22.62

<em>Hence the angles that make sinB = cosB is 22.62°</em>

6 0
3 years ago
Read 2 more answers
Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest
dimaraw [331]

Interest rate for one year is rate percent amount of original investment. The amount invested by Mrs. Ming in the account paying 6% was $680

<h3>How to calculate interest after 1 year if the rate of interest is R% annually?</h3>

Suppose that annually there is interest rate of R%. The amount initially invested is P, then for 1 year, it doesn't matter if its simple or compounding annually, the interest is same (it doesn't remain same if compounding isn't annually or if the time is > 1 year)

The interest for 1 year will be \dfrac{P}{100} \times R

Let we have the initial amount spent in account paying 8% interest rate as $x

Let for 6% interest paying account, initial amount was $y

Then, by the given data, we have:

x + y = 1500

and

\dfrac{x}{100} \times 8 + \dfrac{y}{100} \times 6=  106.40\\\\8x + 6y = 10640\\4x + 3y = 5320

Thus, we got a system of linear equations as :

x + y = 1500\\4x + 3y = 5320

From equation 1, getting value of x in terms of y, we get:

x = 1500 - y

Substituting this value in second equation, we get:

4x + 3y = 5320\\4(1500-y) +3y = 5320\\6000 - y = 5320\\y =680

Putting this value of y in the equation we got for x,

x = 1500 - y\\x = 1500 - 680= 820

Thus, amount invested by Mrs Ming in account paying 8% interest rate as $x = $820

and  for 6% interest paying account, initial amount was $y = $680

Thus,

The amount invested by Mrs. Ming in the account paying 6% was $680

Learn more about system of linear equations here:

brainly.com/question/13722693

3 0
2 years ago
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