Nishi practiced violin for 3 1/2 hours in a 5-day period. How many minutes

Mathematics

1 answer:

Kitty [74]3 years ago

6 0

Answer:

.7 min per day

Step-by-step explanation:

3.5 ÷5=0.7

0.7×5=3.5 or 3 1/2

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2) The sum of the measures of angle X and angle Y is 90. If the measure of angle X is 30 less than twice the measure of angle Y,

kumpel [21]

<span>2) The answer is C. 50.

In order to solve this you need to represent the measure of x in terms of y. Since x is 30 less than twice as big as y, we can express it using the following: 2y - 30.

Now we can add that to y and set equal to 90 to solve.
2y - 30 + y = 90
3y - 30 = 90
3y = 120
y = 40.

Now knowing that y = 40, we know that x = 50, since they add up to 90.

3) They sold 62 large cupcakes.

This can be found by setting up a system of equations.

The first equation should represent the number sold totally. x + y = 105, where x is equal to the number of large cupcakes and y is equal to the number of small cupcakes.

The second equation should be equal to the amount of money made. 1.25x + .75y = 109.75.

Now to solve this system, you need to multiply the first equation by -1.25. This will give us a new equation of -1.25x - 1.25y = -131.25.

Now if you add the new equation to the second equation, the x values will cancel, giving you the following: -.5y = -21.5 or y = 43.

We can then determine the number of large cupcakes (x) by subtracting our y value from the 105 total, leaving us with 62.

4) The answer for this question is none of your possible answers. The y value should be 25 (the x-value though should be 15, which is the A answer).

We can find this by solving the second equation for x.
x + 2y = 65
x = -2y + 65.

Now that we have a value for x, we can sub it into the first equation in place of x and solve for y.
2x + 3y = 105
2(-2y + 65) + 3y = 105
-4y + 130 + 3y = 105
-y + 130 = 105
-y = -25
y = 25. </span>

3 0

3 years ago

Read 2 more answers

A streetlight that is 9 feet tall casts a 2-foot-long shadow. A nearby flagpole casts a 11-foot-long shadow. What is the height

Dafna1 [17]

The height of flagpole is 49.5 feet.

Step-by-step explanation:

Given,

Shadow casted by streetlight = 2 foot

Height of streetlight = 9 feet

Ratio of shadow to height = 2:9

Shadow casted by flagpole = 11 foot