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-Dominant- [34]
3 years ago
14

Malcolm started with a board that was 5 3/4 feet long. He then cut off a section that was 1 feet long. How much of the board is

left?
Mathematics
1 answer:
Marrrta [24]3 years ago
8 0

Answer:

4\frac{3}{4}ft

Step-by-step explanation:

Given that Malcolm started with 5\frac{3}{4}ft of board, then cut off a section that was 1 foot in length, you can subtract the length of the section from the total amount he started with:

5\frac{3}{4}ft - 1 = 4\frac{3}{4}ft

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Find the measure of b.
Alika [10]

Answer:

b = 55°

Step-by-step explanation:

The angle at the centre is twice the angle on the circle subtended by the same arc, then

a = 0.5 × 110° = 55°

Angles on the circumference subtended by the same arc are congruent, so

b = a = 55°

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2 years ago
a aquarium holds 117 gallons of water. how much is this in liters? use the conversion 1 gallon is 3.8 liters
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117= 442.893 in liters
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3 years ago
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There are 5280 feet in a mile. What part of a mile in decimal form will you drive until you reach the exit 1000 feet
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3 years ago
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Lisa an experienced shipping​ clerk, can fill a certain order in 7 hours. ​bill, a new​ clerk, needs
OLga [1]

Answer:

3.73 hours

Explanation:

In 1 hour, Lisa does 1/7th of the order while Bill does 1/8th of the order in an hour. To find out how long it will take them to fill the order, we have to:

Step 1:

Add the rate of both Lisa and Bill together

1/7 + 1/8

Step 2:

Since both denominators of the fractions are different, you have to find the least common multiple of 7 and 8

7·8= 56    8·7= 56

which is 56.

Step 3:

Then, you have to multiply the numerator of 1/7 with 8 and the numerator of 1/8 with 7.

1·8= 8    1·7= 7

The fractions would now have equal denominators:

Lisa: 8/56    Bill: 7/56

Step 4:

Now, you can add them together

8/56 + 7/56

which equals to 15/56. Both Lisa and Bill together completes 15/56th of the order in 1 hour.

Step 5:

15/56 is not the final answer as it is the RATE of them working together. To find how long it will take them total to complete the order, you must divide 56 with 15.

56/15

which is 3.73 hours in decimal form (rounded).

5 0
2 years ago
PLS HELP! GIVING BRAINLIST!
svlad2 [7]

Answer:

We conclude that (4, 2) is NOT a solution to the system of equations.

Step-by-step explanation:

Given the system of equations

y = x - 2

y = 3x + 4

Important Tip:

  • In order to determine whether (4, 2) is a solution to the system of equations or not, we need to solve the system of equations.

Let us solve the system of equations using the elimination method.

\begin{bmatrix}y=x-2\\ y=3x+4\end{bmatrix}

Arrange equation variables for elimination

\begin{bmatrix}y-x=-2\\ y-3x=4\end{bmatrix}

Subtract the equations

y-3x=4

-

\underline{y-x=-2}

-2x=6

Now, solve -2x = 6 for x

-2x=6

Divide both sides by -2

\frac{-2x}{-2}=\frac{6}{-2}

Simplify

x=-3

For y - x = -2 plug in x = -3

y-\left(-3\right)=-2

y+3=-2

Subtract 3 from both sides

y+3-3=-2-3

Simplify

y=-5

The solution to the system of equations is:

(x, y) = (-3, -5)

Checking the graph

From the graph, it is also clear that (4, 2) is NOT a solution to the system of equations because (-3, -5) is the only solution as we have found earlier.

Therefore, we conclude that (4, 2) is NOT a solution to the system of equations.

8 0
3 years ago
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