Sara leaves home at 7am traveling at a rate of 45 mi/h. her son discovers that she has forgotten her briefcase and starts out to catch up with her. her son leaves at 7:30 am traveling at a rate of 55 mi/h. At what time will he over take his mother?

Answers

Answer 1

Answer: Sara 45 mph
Son 55 mph
Sara 07:00
Son 07:30
Difference in time= 00:30 => 0.50 hours
Sara will have covered 22.50 miles Son starts

catch up distance= 22.50 miles
catch up speed = 55 -45
catch up speed = 10 mph
Catchup time = catchup distance/catch up speed
catch up time= 2.25
catch up time= 2.25 hours
They will meet at 9:55 am mph

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Amber has 4/5-pound bag of colored sand. She uses 1/2 of the bag for the project. How much sand does she use for the project?

Answers

Answer:

$(2)/(5)$ -pound of sand

Step-by-step explanation:

We have been given that Amber has $(4)/(5)$ -pound bag of colored sand. She uses 1/2 of the bag for the project.

We need to find 1/2 'of' the 4/5 as:

$(4)/(5)* (1)/(2)$

$(4*1)/(5*2)$

$(2*1)/(5*1)$

$(2)/(5)$

Therefore, Amber used $(2)/(5)$ -pound of sand for the project.

3/10
4/5 - 1/2= 8/10-5/10

All rectangles are _____.Multiple Chocieparallelograms
rhombuses
squares
quadrilaterals

Answers

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Explain why the equation 2(3x - 5) = 6x + 8 has no solutions.

Answers

Answer:

Look at step-by-step solution

Step-by-step explanation:

2(3x-5)=6x+8

First start by dividing two from the left side:

3x-5=3x+4

From there add five and subtracted 3x from both sides:

0=9

Since zero does not equal nine, there is no solution.

Answer:

- 5 does not equal 8

Step-by-step explanation:

Distribute the 2 to get 6x - 5 = 6x +8

6x - 5 = 6x + 8

subtract 6x on both sides you are left with -5 = 8 which is not a true statment.

Since the equation leads to a statment that isn't true, there is no solution.

Lynn is trying to fine the best deal on bananas. Two grocery stores each have the fruit on sale. Store A has bananas 2 pounds for $0.88. Store B has bananas 5 pounds for $2.50. What is the cost per pound of bananas at each store? Which store has the better deal

Answers

B has bananas 5 pounds for $2.50. What is the cost per

I keep getting these wrong can anybody help

Answers

The answer is y/18.

9. $(y^(-3))^(6)$
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10. $(-h^(4))^(5)$
   $-h^(20)$

Which two numbers add up to -24 and multiple to -24

Answers

x + y = -24
xy = -24

$xy = -24$
$(xy)/(x) = (-24)/(x)$
$y = (-24)/(x)$

$x + y = -24$
$x + (-24)/(x) = -24$
$(x^(2))/(x) + (-24)/(x) = -24$
$(x^(2) - 24)/(x) = -24$
$-24x = x^(2) - 24$
$0 = x^(2) + 24x - 24$
$x = \frac{-(24) \± \sqrt{(24)^(2) - 4(1)(-24)}}{2(1)}$
$x = (-24 \± √(576 + 96))/(2)$
$x = (-24 \± √(672))/(2)$
$x = (-24 \± 4√(42))/(2)$
$x = -12 \± 2√(42)$
$x = -12 \± 2(6.5)$
$x = -12 \± 13$
$x = -12 + 13$ $or$ $x = -12 - 13$
$x = 1$ $or$ $x = -25$

  x + y = -24    or      x + y = -24
  1 + y = -24 or -25 + y = -24
- 1   - 1 + 25 + 25
y = -25     or    y = 1
  (x, y) = (1, -25) or (x, y) = (-25, 1)

The two numbers that add up to 24 are the numbers 1 and -25.

x + y = -24
xy = -24

$xy = -24$
$(xy)/(x) = (-24)/(x)$
$y = (-24)/(x)$

$x + y = -24$
$x + (-24)/(x) = -24$
$(x^(2))/(x) + (-24)/(x) = -24$
$(x^(2) - 24)/(x) = -24$
$-24x = x^(2) - 24$
$0 = x^(2) + 24x - 24$
$x = \frac{-(24) \± \sqrt{(24)^(2) - 4(1)(-24)}}{2(1)}$
$x = (-24 \± √(576 + 96))/(2)$
$x = (-24 \± √(672))/(2)$
$x = (-24 \± 4√(42))/(2)$
$x = -12 \± 2√(42)$
$x = -12 \± 2(6)$
$x = -12 \± 12$
$x = -12 + 12$ $or$ $x = -12 - 12$
$x = 0$ $or$ $x = -24$

  x + y = -24    or      x + y = -24
  0 + y = -24 or -24 + y = -24
- 0 - 0 + 24 + 24
y = 24    or    y = 0

The two numbers that multiply to -24 are the numbers 24 and 0.

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