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pantera1 [17]
2 years ago
12

The total cost of a pair of shoes and a hoodie is $150 the hoodie cost $100 more than the pair of shoes how much does each item

cost?
Mathematics
2 answers:
bekas [8.4K]2 years ago
3 0
X + y = 150

x = y + 100

2y + 100 = 150

2y = 50

y = 25

shoes are 25 hoodie is 125
olga nikolaevna [1]2 years ago
3 0

Answer:

shoes = $25

hoodie = $125

Step-by-step explanation:

total cost = $150

hoodie = x + 100

shoes = x

x + x + 100 = 150

2x = 150 - 100

x = 50/2

x = 25

shoes = $25

hoodie = $125

add them up and u get the price of the shoe 125+25= $150

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The ratio of boys to girl in a school is 5:7 if there are 600 students, how many girls are there
larisa86 [58]

Answer:

350 girls

Step-by-step explanation:

So,

The secret to solving problems with ratios is to find the value of one unit.

5:7 = 12 units total

To find one unit, divide the total number of students by the total number of units.

600/12 = a

Simplify

50/1 = a

50 = a

The value of each unit is 50.

Now, multiply the units by the numbers in the ratio.

50(5) = b

250 = boys

50(7) = x

350 = x

There are 350 girls.

3 0
2 years ago
I DONT KNOW THESE! HELP!
kkurt [141]

Answer:

20. x = 5, y = -2

21. x = 11, y = 12

22. x = 22, y = 11

23. x = 11, y = 10

Step-by-step explanation:

20. Opposite sides in the parallelogram are congruent, so

2y+18=3x-1\\ \\6x-3=17-5y

Solve this system of two equations:

\left\{\begin{array}{l}2y-3x=-19\\ \\6x+5y=20\end{array}\right.

Multiply the first equation by 2 and add two equations:

2(2y-3x)+6x+5y=2\cdot (-19)+20\\ \\4y-6x+6x+5y=-38+20\\ \\9y=-18\\ \\y=-2

Substitute it into the first equation:

2\cdot (-2)-3x=-19\\ \\-3x=-19+4\\ \\-3x=-15\\ \\x=5

21. Opposite angles in the parallelogram are congruent, so

11x+5=10y+6

Consecutive angles are supplementary, so

6x-y+11x+5=180^{\circ}

Solve this system of two equations:

\left\{\begin{array}{l}11x-10y=1\\ \\17x-y=175\end{array}\right.

From the second equation

y=17x-175

Substitute it into the first equation:

11x-10(17x-175)=1\\ \\11x-170x+1750=1\\ \\-159x=-1749\\ \\x=11\\ \\y=17\cdot 11-175=187-175=12

22. Opposite angles in the parallelogram are congruent, so

2x-5=3y-12

Consecutive angles are supplementary, so

2x-5+7y+x=180^{\circ}

Solve this system of two equations:

\left\{\begin{array}{l}2x-3y=-7\\ \\3x+7y=185\end{array}\right.

From the first equation

x=-3.5+1.5y

Substitute it into the second equation:

3(-3.5+1.5y)+7y=185\\ \\-10.5+4.5y+7y=185\\ \\-105+45y+70y=1,850\\ \\115y=1,850+105\\ \\115y=1,955\\ \\y=17\\ \\x=-3.5+1.5\cdot 17=22

23. Opposite sides in the parallelogram are congruent, so

2x+9=4y-9\\ \\3x-5=2y+8

Solve this system of two equations:

\left\{\begin{array}{l}2x-4y=-18\\ \\3x-2y=13\end{array}\right.

Multiply the second equation by 2 and subtract it from the first equation:

2x-4y-2(3x-2y)=-18-2\cdot 13\\ \\2x-4y-6x+4y=-18-26\\ \\-4x=-44\\ \\x=11

Substitute it into the first equation:

2\cdot 11-4y=-18\\ \\-4y=-18-22\\ \\-4y=-40\\ \\y=10

3 0
3 years ago
Express<br> as a unit rate. <br><br> Betty drives her car 150 km in 2 h. Explain
Lena [83]

Answer:

<h2>75 km per hour</h2>

Step-by-step explanation:

\frac{150km}{2hr} divided by two is \frac{75km}{1hr}.

8 0
2 years ago
What are the geometric means of 5 and 15
Phantasy [73]

Answer:

2√15

Step-by-step explanation:

7 0
3 years ago
Solve for <br> Show work<br> x-2&lt;10
madam [21]

Answer:

x=11,10,9,8,7,6,5,4,3,2,1,0, and all the negative numbers could be subsituted for x

Step-by-step explanation:

5 0
2 years ago
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