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2 years ago

What is an equation of the line that passes through the points (6, -7) and (-6, 3)?

1 answer:

8 0

Two point form:
y-(-7)/3-(-7)=x-6/-6-6
Rearrange to get y=-5/6x -2 (slope intercept form)
or y= 5x+6y=-12 (standard form)

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How many cubic feet of soil are needed to fill a raised vegetable bed that measure 12 feet by 10 feet by 9 inches?

otez555 [7]

18 feet 1 feet is equivalent to 12 inches

3 0

3 years ago

Which property was used to solve the given inequality?

Amiraneli [1.4K]

Subtraction Property of Inequality is used to solve the given inequality

<em><u>Solution:</u></em>

Given inequality is:

$y + 8 < - 8$

To solve the inequality, subtract 8 on both sides,

We know that,

Adding or subtracting the same quantity from both sides of an inequality leaves the inequality symbol unchanged

Also, by Subtraction Property of Inequality,

If you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well

$y + 8 < - 8\\\\\text{Subtract 8 from both sides of inequality }\\\\y + 8 - 8 < -8 - 8\\\\simplify,\\\\y$

Thus, Subtraction Property of Inequality is used

4 0

2 years ago

Haley makes earrings and packages them into cube boxes that measure 1/6 foot wide. how many 1/6 foot cubic boxes can she fit int

navik [9.2K]

Answer: $28\ cubes$

Step-by-step explanation:

The volume of a cube can be found with this formula:

$V_{(c)}=s^3$

Where "s" is the lenght of any edge of the cube.

The formula for calculate the volume of a rectangular prism is:

$V_{rp}=lwh$

Where "l" is the lenght, "w" is the width and "h" is the height.

We need to find the volume of a cube box:

$V_1=s^3=(\frac{1}{6}ft)^3=\frac{1}{216}ft^3$

To find the volume of the shipping box, first we must convert the mixed number to an improper fraction:

$1\frac{1}{6}=\frac{(6*1)+1}{6}=\frac{7}{6}$

Then the volume of the shipping box is:

$V_2=lwh\\\\V_2=(\frac{7}{6}ft)(\frac{1}{3}ft)(\frac{1}{3}ft)=\frac{7}{54}ft^3$

Now, in order to find the number of cube boxes can Haley fits into a shipping box, you must divide the the volume of the shipping box by the volume of one cube. This is:

$\frac{\frac{7}{54}ft^3}{\frac{1}{216}ft^3}=28$

6 0

3 years ago

Using Unit Rates to compare Ratios continued

nasty-shy [4]

Answer:

Brandon

Step-by-step explanation:

GIVEN: Branden and Pete each play running back. Branden carries the ball $75$ times for $550$ yards, and Pete has $42$ carries for $380$ yards.

TO FIND: Who runs farther per carry.

SOLUTION:

Total yards traveled by Brandon $=550\text{yards}$

No. of times ball carried by Brandon $=75\text{ times}$

Average yards per carry for Brandon $=\frac{\text{total yards traveled}}{\text{number of times ball carried}}$

$=\frac{550}{75}$

$=\frac{22}{3}\text{ yards per carry}$

$=7.33\text{ yards per carry}$

Total yards traveled by Pete $=380\text{ yards}$

No. of times ball carried by Pete $=42\text{ times}$

Average yards per carry for Pete $=\frac{\text{total yards traveled}}{\text{number of times ball carried}}$

$=\frac{380}{42}$

≅ $9\text{ yards per carry}$

As the number of yards per carry is higher for Brandon , therefore he runs farther per carry.

4 0

3 years ago

A rotating sprinkler waters the lawn outside the lodge at Oak Tree State Park. The sprinkler rotates in a full circular path and

ki77a [65]

Answer:

it is 7squere meters

Step-by-step explanation:

7 0

3 years ago