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3 years ago

10

A car costs $30,496 (with taxes and fees included). Bryan is learning about place value and tells his dad that the 4 represents

$400 in the price of the car. Is Bryan correct? ________ Why or why not? Explain your answer with words.

1 answer:

stiv31 [10]3 years ago

6 0

Yes, Bryan is correct.

Because 4 is in the hundreds place.

The value of a digit in the number is the digit multiplied by the place value.

Hope that helped

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A salesperson sold 30% of their books in stock on Monday. Then they sold 60% of their remaining books on Tuesday. What percent o

Valentin [98]

Answer:

10%

Step-by-step explanation:

60% + 30%=90%

so they have 10%of the original amount left.

7 0

4 years ago

Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions.

Oksanka [162]

Answer:

See explanation for matching pairs

Step-by-step explanation:

Equations

(1)

$x - y = 25$

$2x + 3y = 180$

(2)

$2x - 3y = -5$

$11x + y = 550$

(3)

$x - y = 19$

$-12x + y = 168$

Solutions

$(-17,-36)$

$(47, 33)$

$(51, 26)$

Required

Match equations with solutions

(1) $x - y = 25$ and $2x + 3y = 180$

Make x the subject in: $x - y = 25$

$x = 25 + y$

Substitute $x = 25 + y$ in $2x + 3y = 180$

$2(25 + y) + 3y = 180$

$50 + 2y + 3y = 180$

$50 + 5y = 180$

Collect like terms

$5y = 180-50$

$5y = 130$

Solve for y

$y =26$

Recall that: $x = 25 + y$

$x = 25 + 26$

$x = 51$

So:

$(x,y) = (51,26)$

(2) $2x - 3y = -5$ and $11x + y = 550$

Make y the subject in $11x + y = 550$

$y = 550 - 11x$

Substitute $y = 550 - 11x$ in $2x - 3y = -5$

$2x - 3(550 - 11x) = -5$

$2x - 1650 + 33x = -5$

Collect like terms

$2x + 33x = -5+1650$

$35x = 1645$

Solve for x

$x = 47$

Solve for y in $y = 550 - 11x$

$y = 550 - 11 * 47$

$y = 550 - 517$

$y = 33$

So:

$(x,y) = (47,33)$

(3)

$x - y = 19$ and $-12x + y = 168$

Make y the subject in $-12x + y = 168$

$y = 168 + 12x$

Substitute $y = 168 + 12x$ in $x - y = 19$

$x - 168 - 12x = 19$

Collect like terms

$x -12x = 168 + 19$

$-11x = 187$

Solve for x

$x = -17$

Solve for y in $y = 168 + 12x$

$y =168-12 *17$

$y =-36$

So:

$(x,y) = (-17,-36)$

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3 years ago

Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 121212 inc

My name is Ann [436]

He will need 17 inches of ribbon.

The diagonal splits the square into two right triangles. We can then use the Pythagorean theorem to find the length of the diagonal (the hypotenuse of the triangle):

12² + 12² = x²
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288 = x²

Take the square root of both sides:
√288 = √x²
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17≈x

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4 years ago

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Step-by-step explanation:

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3 years ago

What is the sum of the first 26 terms of the arithmetic series?

ch4aika [34]

The first term is 7, and the common difference is 4. We know this because 11-7=15-11=4. So the nth term is going to be 7+4(n-1). The 26th term will be 7+4(26-1)=7+100=107. The sum of the series is going to be (107+7)*13=1482.

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3 years ago

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