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andrezito [222]
3 years ago
15

Three hamburgers and one milkshake cost $6.80. Two hamburgers and one milkshake cost $5.30

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
8 0
Each burger costs $1.50, and the milkshake costs $2.30. I subtracted the $6.80 from the $5.30, which shows the price of one burger. 
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Katherine is working two summer jobs, making $16 per hour lifeguarding and making $6 per hour walking dogs. In a given week, she
kipiarov [429]

Answer:

Katherine need to work minimum 10 hours lifeguarding to meet her requirements

Step-by-step explanation:

Given:

Rate for Lifeguarding = $16\ per\ hour

Rate for walking dogs = $6 \ per\ hour

She had worked 2 hours walking dog

Money for walking dogs = Rate for walking dogs\times hours worked=\$6\times2=\$12

she can work a maximum of 15 total hours and must earn at least $160.

Let hours required for lifeguarding be x

Money for life guarding = Rate for walking dogs\times hours worked for lifrguarding= \$16 \timesx=16x

Total Money she must earn = Money for lifeguarding + Money for walking dogs

16x+12=160\\16x=160-12\\16x=148\\x=\frac{148}{16}=9.25 \ hours

Rounding to nearest hour

Katherine need to work minimum 10 hours lifeguarding to meet her requirements

7 0
3 years ago
Right triangle ABC and right triangle ACD overlap as shown below. Angle DAC measures 20 degrees and angel BCA measures 30 degree
alexdok [17]

The image of the question is attached below.

Given:

m∠DAC = 20° and m∠BCA = 30°

m∠ABC = 90° and m∠CDA = 90°

To find:

The value of x and y.

Solution:

In right triangle ABC,

m∠BAC = x° + 20°

Sum of the interior angles of a triangle = 180°

m∠BAC +m∠ABC + m∠BCA = 180°

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x° + 140° - 140° = 180° - 140°

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In right triangle ADC,

m∠ACD = y° + 30°

Sum of the interior angles of a triangle = 180°

m∠ACD +m∠CDA + m∠DAC = 180°

y° + 30° + 90° + 20° = 180°

y° + 140° = 180°

Subtract 140° from both sides.

y° + 140° - 140° = 180° - 140°

y° = 40°

The value of x is 40 and y is 40.

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3 years ago
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Answer:

Step-by-step explanation:

Function is negative when graph line lies below the x - axis.

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3 years ago
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Step-by-step explanation:

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Y = x^2 + 11x + 24 = (x + 8)(x + 3)
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