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EleoNora [17]
3 years ago
14

How do I solve for t:

frac%7B1%7D%7B2%7D%20%285t%20-%202%29" id="TexFormula1" title=" \frac{1}{4} (2t + 5) - t = \frac{1}{2} (5t - 2)" alt=" \frac{1}{4} (2t + 5) - t = \frac{1}{2} (5t - 2)" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Valentin [98]3 years ago
3 0
Your answer is 3/4.  remove parentheses, multiply both sides by 4, collect the like terms, move terms, collect the like terms again and calculate, then divide both sides by -12
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Multiply and simplify
aleksandr82 [10.1K]

Answer and explanation:

1. 2 × 3/10 = 6/10 = 3/5

2. 8 × 4/8 = 32/8 = 4

3. 9 × 3/9 = 27/9 = 3

4. 12 × 2/11 = 24/11 = 2 2/11

5. 3 × 5/7 = 15/7 = 2 1/7

6. 2 × 3/5 = 6/5 = 1 1/5

7. 11 × 4/8 = 44/8 = 5 4/8 = 5 1/2

8. 10 × 1/4 = 10/4 = 2 2/4 = 2 1/2

9. 5 × 1/4 = 5/4 = 1 1/4

10. 11 × 2/7 = 22/7 = 3 1/7

Hope this helps!

4 0
3 years ago
Jeremy can row 3/8 of a mile in 1/4 of an hour.
Elza [17]

Answer:

3/2 mph

Step-by-step explanation:

\frac{3}{8} = \frac{r}{4}

cross-multiply: 8r = 12

r = 12/8 or 1.5 mph

6 0
3 years ago
If you answer God will bless you:
VashaNatasha [74]

Answer:

600 m³

Step-by-step explanation:

Given:

  • length of swimming pool = 30 m
  • width of swimming pool = 10 m
  • depth at deep end = 3 m
  • depth at shallow end = 1 m

To find the volume of the water in the pool, find the area of a cross section (see attached image) and multiply it by the width of the pool.

<u>Area of cross section</u>

= area of rectangle - area of triangle

= (3 × 30) - [1/2 × 30 × (3 - 1)]

= 90 - 30

= 60 m²

<u>Volume of pool</u>

= area of cross section × width

= 60 × 10

= 600 m³

6 0
2 years ago
Suppose your friend's parents invest $15,000 in an account paying 7% compounded annually. What will the balance be after 6 years
kykrilka [37]

Answer:

$22,510.96

Step-by-step explanation:

Final investment value

$22,510.96

Total interest earned

$7,510.96

Initial balance

$15,000.00

Total monthly deposits

$0.00

Effective Annual Rate (APY)

7%  

6 0
3 years ago
What type of number is 302.14
kondor19780726 [428]

302.14 is a decimal number

<u>Explanation:</u>

302.14 is a decimal type of number.

A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.

Decimals are based on the preceding powers of 10. Thus, as we move from left to right, the place value of digits gets divided by 10, meaning the decimal place value determines the tenths, hundredths and thousandths. A tenth means one tenth or 1/10. In decimal form, it is 0.1. Hundredth means 1/100. In decimal form, it is 0.01.

Similarly, 302.14 has a decimal place value of hundred.

3 0
3 years ago
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