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Vanyuwa [196]
3 years ago
11

A construction company is planning to pour concrete for a driveway. The length of the driveway is 16 feet longer that its width

w. find the dimensions of the driveway if the driveway if it has an area of 260 square feet.
Mathematics
1 answer:
Inga [223]3 years ago
3 0
L (length) = w+16
l x w = Area
260 = l x w
260 = (w+16) x w
260 = w^2 + 16w
w^2 + 16w -260 = 0
(w+26) (w-10) = 0

w= -26 (reject) or w = 10

if w = 10, l = 26
10ft x 16 ft
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Lily drove 354 miles in 6 hours. On average, how fast did she drive in hours per mile?
vagabundo [1.1K]

Answer: \dfrac{1}{59}\ \text{hours per mile}

Step-by-step explanation:

Given : Distance traveled by Lily= 354 miles

Time= 6 hours

Then,

\text{LIly's rate in hours per mile}=\dfrac{6\text{ hours}}{354\text{ mile}}\\\\=\dfrac{1}{59}\ \text{hours per mile}

Hence, the required speed of Lily = \dfrac{1}{59}\ \text{hours per mile}

3 0
3 years ago
A teacher has 36 sheets of construction paper and 78 markers. She wants to pack them in boxes with the same number of sheets and
ArbitrLikvidat [17]

Answer:

6 boxes.

Step-by-step explanation:

We have been given that a teacher has 36 sheets of construction paper and 78 markers.

As teacher wants to pack the same number of sheets and markers in each box, So we will have to find the greatest common factor (GCF) of 36 and 78.  

Factors of 36 are: 1, 2, 3, 4, 6, 6, 18 ,12, 18, 36

Factors of 78 are: 1, 2, 3, 26, 39, 78.

We can see that GCF of 36 and 78 is 6. The number of sheets of construction paper in each box will be 6 (6*6=36) and number of markers in each box will be 13 (13*6=78).

Therefore, the greatest number of boxes the teacher can use to pack the sheets of construction paper and markers is 6.

5 0
3 years ago
10. Evaluate x(-y + z) for x = − 1, y = 2, and z = 5.<br><br> -3<br><br> 3<br><br> 7<br><br> -7
Law Incorporation [45]

Answer:

-3

Step-by-step explanation:

x(-y+z) replace with the values given above

-1(-2+5)

7 0
2 years ago
Read 2 more answers
What is an equation in point slope form of the line that passes through (7, 1) and (-3,9)
LuckyWell [14K]

Answer:

y= -4/5x+33/5

Step-by-step explanation:

for questions like these, the slope is always defined as the change in y over the change in x or use the equation m=y2-y1/x2-x1.

x1=7 and y1=1

x2=-3 and y2=9

now plug these numbers in to the equation. m= 9-1 / -3-7 Or m= 8/-10 simplified to m= -4/5

now that we have the slope you can plug it in to the equation y=mx+b and get y= -4/5 + b.

to find b, the y-intercept, you can use either of the two points and the answer will be the same. for this one, I'll use (7,1).

1= -4/5 x 7+b. b= 33/5

HOPE THIS HELPS!!

5 0
3 years ago
Rani has at most $20 to spend on a canoe rental. To rent a canoe $12.To use the canoe cost $3 an hour. Write an inequality that
Julli [10]

Answer:

Rani can use the rented canoe for  h\leq 2\frac{2}{3}  hours.

Step-by-step explanation:

Given:

Rani has at most $20 to spend on a canoe rental.

To rent a canoe $12.To use the canoe cost $3 an hour.

The number of hours is h.

Now, to find h the number of hours rani can use the rented canoe.

Total money Rani has at most to spend = $20.

The rent of a canoe = $12.

The cost of using canoe per hour = $3.

<em><u>According to question:</u></em>

Now, to find the number of hours rani can use the rented canoe:

3h+12\leq 20

<em>Subtracting both sides by 12 we get:</em>

<em />3h\leq 8<em />

<em>Dividing both sides by 3 we get:</em>

<em />h\leq \frac{8}{3}<em />

<em />h\leq 2\frac{2}{3}<em />

Therefore, Rani can use the rented canoe for  h\leq 2\frac{2}{3} hours.

7 0
3 years ago
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