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4 years ago

Yolanda is buying supplies for school. She buys n packages of pencils at $1.60 per package and m pads

Mathematics

1 answer:

Minchanka [31]4 years ago

5 0

Answer:

5.2 or 5.2O

Step-by-step explanation:

add 2.6m + 2.60 which means add 2.60 + 2.60

2.60

+2.60

______

5.2 (the zero is optional)

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A store is having a sale on jelly beans and trail mix. For 8 pounds of jelly beans and 3 pounds of trail mix, the total is $18.

topjm [15]

Answer: each pound of jelly beans costs 1.5 dollars, or $1.50, and each pound of trail mix costs 2 dollars, or $2

Step-by-step explanation:

j = jellybeans

t = trail mix

2j + 5t = 13

8j + 3t = 18

To solve this, we want to isolate a variable, and solve for the other. Let's do that with each equation.

2j + 5t = 13

2j = 13 - 5t

j = (13 - 5t) / 2

8j + 3t = 18

8j = 18 - 3t

j = (18 - 3t) / 8

Now that we have isolated the variable j in each equation, we can set the two right-sides equal to each other, and solve for t.

(13 - 5t) / 2 = (18 - 3t) / 8

By multiplying both sides by 8, this becomes simpler to look at.

8 * (13 - 5t) / 2 = 18 - 3t

4 * (13 - 5t) = 18 - 3t

4 * 13 - 4 * 5t = 18 - 3t

52 - 20t = 18 - 3t

52 = 18 + 17t

34 = 17t

34 / 17 = t

t = 2

Now that we have solved for t, we can trivially plug it into one of the other equations to solve for j. Let's choose the first equation, as it doesn't matter which we choose.

t = 2

2j + 5t = 13

2j + 5 * 2 = 13

2j + 10 = 13

2j = 13 - 10

2j = 3

j = 1.5

So, each pound of jelly beans costs 1.5 dollars, or $1.50, and each pound of trail mix costs 2 dollars, or $2.

6 0

2 years ago

The point (2,–5), when reflected across the origin, maps onto the point _______. answers : (–5,2) (5,–2) (–2,5) (2,5)

Inessa [10]

Answer:

(-2, 5)

Step-by-step explanation:

A reflection across the origin turns the point (a, b) into (-a, -b).

6 0

3 years ago

Simplify this expression and show all steps: 48m^7/20m^4

Ghella [55]

Answer:

(12/5)m^3

Step-by-step explanation:

It's easier for most of us to write out a fraction / ratio without the " / " symbol:

48m^7

------------

20 m^4

Separate the coefficients from the powers of m:

48 m^7

----- * -------- Now let's reduce each fraction separately:

20 m^4

48/20 = 12/5, and

(m^7) / (m^4) = m^(7-4) = m^3

... so that our final answer is (12/5)m^3.

3 0

3 years ago

Mau bought a television for 330.The tax rate is 8% what is the total amount paid for the television

nika2105 [10]

If the tax rate is 8%, we need to find 108% of the price, or 330 times 1.08, which is $356.4

7 0

3 years ago

jamie wants to run a total of 9 miles thid week. so far, she has run 4 5/8 miles. use the equation 4 5/8 + r = 9. please help m

____ [38]

Answer:

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

Step-by-step explanation:

Given the following question:

$4\frac{5}{8} +r=9$

Rewrite the expression to find the value of r:

$9-4\frac{5}{8}$

Subtract by finding the common denominator:
$9-4\frac{5}{8}$
$9=\frac{9}{1}$
$4\frac{5}{8} =8\times4=32+5=37=\frac{37}{8}$
$\frac{9}{1} -\frac{37}{8}$
$\frac{9}{1} \times8=\frac{72}{8}$
$\frac{37}{8} \times1=\frac{37}{8}$
$\frac{72}{8} -\frac{37}{8}$
$72-37=35$
$=\frac{35}{8}$
$\frac{35}{8} =35\div8=4\frac{3}{8}$
$r=4\frac{3}{8}$
$4\frac{5}{8} +4\frac{3}{8} =9$

Hope this helps.

4 0

2 years ago