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3 years ago

Translate the following sentence into math symbols. Then solve the problem. Show your work and keep the equation balanced.

Mathematics

2 answers:

dedylja [7]3 years ago

8 0

Answer:

10-x=-45

Step-by-step explanation:

tigry1 [53]3 years ago

6 0

10 less than x is -45 translates to
10-x=-45

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Ms. Hanuanaer helped students prepare juice. The recipe was 320 ounces of cranberry juice, 320 ounces of sprite, and a splash of

salantis [7]

This is a two step word problem so first your gonna have to subtract 320-50= 270 then divide to find your final answer so 270 divided by 8 is 33.75

4 0

3 years ago

At the north campus of a performing arts school, 30% of the students are music majors. At the south campus, 70% of the stude

Ivenika [448]

Answer:

The north campus had 600 students (180 music majors)

The south campus had 400 students (280 music majors)

Step-by-step explanation:

x = number of students at the north campus before the merger

If the total of students for the two school is given as 1000, so:

(1000 - x) = number of students at the south campus before the merger.

The equation for music major is:

0,3x + 0,7(1000-x) = 0,46(1000)

0,3x + 700 - 0,7x = 460

0,3x - 0,7x = 460 - 700

- 0,4x = -240

x = -240/-0,4

x = 600 -----> total number of students at the north campus

600*(0,3) = 180 music majors at the north

100 - 600 = 400 ------> total number of students at the south campus

400*(0,7) = 280------>music majors at the south

4 0

3 years ago

You are running a concession stand at a basketball game. You are selling hotdogs and sodas. Each hotdog cost $1.50 and each soda

Lubov Fominskaja [6]

Answer:

35 hotdogs

Step-by-step explanation:

You are running a concession stand at a basketball game. You are selling hotdogs and sodas.

Let the number of hot dogs be represented by x

The number of soda be represented by y

You sold a total of 87 hotdogs and sodas combined

x + y = 87

x = 87 - y

Each hotdog cost $1.50 and each soda cost $0.50. At the end of the night you made a total of $78.50.

Hence we have the equation:

$1.50 × x + $0.50 × y = $78.50

1.50x + 0.50y = 78.50

Substitute 87 - y for x

1.50(87 - y) + 0.50y = 78.50

130.5 - 1.50y + 0.50y = 78.50

Collect like terms

- 1.50y + 0.50y = 78.50 - 130.50

-1.00y = -52

y = -52/-1

y = 52 sodas

How many hotdogs did you sell?

Using the equation:

x = 87 - y

x = 87 - 52

x = 35 hotdogs

Hence, you sold 35 hotdogs

6 0

3 years ago

Junior has 4 skittles in a bag, one is red, one is blue, one is green, and one is yellow. Junior takes a skittle out and eats it

forsale [732]

Answer:

The tree diagram is shown below.

Step-by-step explanation:

The color of the four skittles Junior had in his bag are:

S = {red (R), blue (B), green (G) and yellow (Y)}

It is provided that Junior takes a skittle out and eats it and then takes another skittle from the bag.

So, Junior has four options for the first draw, i.e. {R, B, G and Y}.

Then three options for the second draw. But the second draw is dependent on the first draw.

If Junior ate the red skittle first, then the second skittle could be any of the three, (B, G and Y).

If Junior ate the blue skittle first, then the second skittle could be any of the three, (R, G and Y).

If Junior ate the green skittle first, then the second skittle could be any of the three, (R, B and Y).

If Junior ate the yellow skittle first, then the second skittle could be any of the three, (R, B and G).

Consider the tree diagram below to better understand the information above.

6 0

3 years ago

What the expression m/5 represent?

katrin [286]

A variable (m) divided by a number (5)

7 0

3 years ago