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Gennadij [26K]
1 year ago
12

Do you know has three times as many dimes as quarters the dollar amount of her dimes and quarters is $6.05 how many quarters doe

s she have
Mathematics
1 answer:
vesna_86 [32]1 year ago
5 0

The number of quarters she have 11.

<h3>What is a system of equations?</h3>

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Let consider y = quarters; x = dimes

We know that there are 3 times as many dimes as quarters. So we can state that x = 3y.

Then, we say that 25y + 10x = 605

(Value of coin * amount of coins)

Then we substitute x=3y into the equation, yielding:

25y + 10(3y) = 605

25y + 30y = 605

55y = 605

605/55 = 11 = y

Therefore, the number of quarters she have 11.

Learn more about equations here;

brainly.com/question/10413253

#SPJ1

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In triangle PQR, angle P is congruent to angle R and the measure of angle Q is twice the measure of angle R. Find the measure of
castortr0y [4]
∠P=∠R, ∠Q=2∠R
the three angles make a total of 180, so
∠P+∠R+∠Q=180
∠R+∠R+2∠R=180
∠R=45
∠P=45, ∠Q=90
8 0
3 years ago
Read 2 more answers
Fourteen hours after a convict escapes from prison, a guard begins to pursue him. If the convict travels at eight mph on foot an
algol13

9514 1404 393

Answer:

  128 miles

Step-by-step explanation:

The convict has a head start of ...

  distance = speed × time

  distance = (8 mi/h) × (14 h) = 112 mi

That distance is being closed at a rate that is the difference between the speeds, so ...

  64 mi/h -8 mi/h = 56 mi/h

The time it takes the guards to catch the convict will be ...

  time = distance/speed

  time = (112 mi)/(56 mi/h) = 2 h

The guards and prisoner will be at a distance from the prison of ...

  distance = speed × time

  distance = (64 mi/h)(2 h) = 128 mi

The convict will be caught 128 miles from the prison.

__

<em>Check</em>

The convict will run an additional (8 mi/h)(2 h) = 16 mi after the guards start pursuit. That, in addition to the 112 miles already run, will total 112+16=128 miles, the same distance the guards travel in that 2 hours.

8 0
3 years ago
PLEASE HELP ME!!!! I NEED THIS QUICKLY!!
zloy xaker [14]

Part A: y=-\frac{5}{4} x+\frac{35}{2} is the equation of the line.

Part B: Anika worked 17.5 hours on day 0.

Part C: The setup time decreases with 1 hour and 15 min per day.

Explanation:

Part A: Let us find the equation of the line using the points (2,15) and (6,10)

The equation of the line is given by,

y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \cdot\left(x-x_{1}\right)

Substituting, we get,

y-15=\frac{10-15}{6-2} (x-2)

Simplifying, we have,

y-15=-\frac{5}{4} (x-2)

y-15=-\frac{5}{4} x+\frac{5}{2}

Subtracting both sides by 15, we get,

y=-\frac{5}{4} x+\frac{35}{2}

Hence, the equation of the line is y=-\frac{5}{4} x+\frac{35}{2}

Part B: To determine the number of hours Anika worked on day 0, let us substitute x = 0 in the equation of the line.

Thus, we get,

y=\frac{35}{2}\\y=17.5

Hence, Anika worked 17.5 hours on day 0.

Part C: The setup time decrease per day can be determined using the slope.

The formula for slope is given by

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Substituting , we have,

m=\frac{10-15}{6-2}=-\frac{5}{4}

Converting the fraction into hours and minutes, we get,

-\frac{5}{4}\times60=-75 min

Since, 1 hour = 60 min

Subtracting 60 and 75 = 15 min

Thus, the setup time decreases with 1 hour and 15 min per day.

6 0
3 years ago
What is the radius of this circle?​
Blababa [14]

Answer:

9in

Step-by-step explanation:

radius is half the diameter

18/2 is 9 so the radius is 9in

3 0
3 years ago
4. What is the system of equations that describes the following graph?
GarryVolchara [31]

Answer:

The system of inequalities is

y

y>0.25x

Step-by-step explanation:

step 1

Find the equation of the dashed line with negative slope

The line passes through the points

(0,-2) and (-2,0)

Find the slope

m=(0+2)/(-2-0)=-1

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-1\\b=-2

substitute

y=-x-2

The solution of the inequality is the shaded area below the dashed line

therefore

The equation of the inequality A is

y

step 2

Find the equation of the dashed line with positive slope

The line passes through the points

(0,0) and (4,1)

Find the slope

m=(1-0)/(4-0)=0.25

Find the equation of the line (direct variation)

y=kx

we have

k=0.25

substitute

y=0.25x

The solution of the inequality is the shaded area above the dashed line

therefore

The equation of the inequality B is

y>0.25x

therefore

The system of inequalities is

y

y>0.25x

4 0
3 years ago
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