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nlexa [21]
3 years ago
8

Express the following

Mathematics
1 answer:
krok68 [10]3 years ago
3 0

Answer:

1. 32

2. 24

3. \frac{1}{12}

4. \frac{1}{8}

5. 15

6. \frac{1}{15}

Step-by-step explanation:

1. 4÷ \frac{1}{8} = 4*8=32

2. 6÷\frac{1}{4} = 6*4=24

3. \frac{1}{3}÷4=\frac{1}{3}*\frac{1}{4} =\frac{1}{12}

4. \frac{1}{2}÷4=\frac{1}{2} *\frac{1}{4} =\frac{1}{8}

5. 5÷\frac{1}{3} =5*3=15

6. \frac{1}3}÷5=\frac{1}{3} *\frac{1}{5} = \frac{1}{15}

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The dance team traveled to a competition and traveled in two vans. The first van transported 2 adults and 5 students and cost $7
Shtirlitz [24]

Answer: $9

Step-by-step explanation:

Let the cost for adults be a

Let the cost for students be b.

The first van transported 2 adults and 5 students and cost $77. This will be:

2a + 5b = $77

The second van transported 2 adults and 7 students and cost $95. This will be:

2a + 7b = $95

2a + 5b = 77 ...... equation i

2a + 7b = 95 ........ equation ii

Subtract equation ii from I

-2b = -18

b = 18/2

b = $9

An student cost $9

Put the value of b into equation i

2a + 5b = 77

2a + 5(9) = 77

2a + 45 = 77

2a = 77 - 45

2a = 32

a = 32/2

a = 16

An adult costs $16

5 0
3 years ago
Isabella went into a movie theater and bought 3 drinks and 10 pretzels, costing a total of $54.50. Jason went into the same movi
ruslelena [56]

The price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25

<em><u>Solution:</u></em>

Let d" be the price of 1 drink

Let "p" be the price of 1 pretzel

Given that, Isabella went into a movie theater and bought 3 drinks and 10 pretzels, costing a total of $54.50

<em><u>Therefore, we can frame a equation as,</u></em>

3 x price of 1 drink + 10 x price of 1 pretzel = 54.50

3 \times d + 10 \times p = 54.50

3d + 10p = 54.5 ---------- eqn 1

Jason went into the same movie theater and bought 9 drinks and 5 pretzels, costing a total of $57.25

9 x price of 1 drink + 5 x price of 1 pretzel = 57.25

9 \times d + 5 \times p = 57.25

9d + 5p = 57.25 ---------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 3

9d + 30p = 163.5 ----- eqn 3

<em><u>Subtract eqn 2 from eqn 3</u></em>

9d + 30p = 163.5

9d + 5p = 57.25

( - ) -----------------------

25p = 106.25

p = 4.25

<em><u>Substitute p = 4.25 in eqn 1</u></em>

3d + 10(4.25) = 54.5

3d + 42.5 = 54.5

3d = 54.5 - 42.5

3d = 12

d = 4

Thus price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25

4 0
3 years ago
What is the place value of 2 in the number 34277​
rjkz [21]

Answer:

Hundreds

Step-by-step explanation:

Refer to the underlined numbers:

3427<u>7</u> - 7 is in the ones place

342<u>7</u>7 - The second 7 is in the tens place

34<u>2</u>77 - 2 is in the hundreds place

3<u>4</u>277 - 4 is in the thousands place

<u>3</u>4277 - 3 is in the ten thousands place

3 0
3 years ago
Read 2 more answers
Geometry Help! 30 POINTS! + BRAINLIEST
Triss [41]
SRT = 20   => STR = 20.
Since STR and STU are supplementary angles, STU = 180 - STR = 180 - 20 = 160, means x = 40.
5 0
3 years ago
Read 2 more answers
What does 6 more than twice mean?
ivann1987 [24]

Answer:

2x+6

Step-by-step explanation:

you want to get 6 more than twice of a number, in this case, x. Hope this helps!

6 0
2 years ago
Read 2 more answers
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