A water tank holds 657 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 876 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the two tanks be the same?

Answer:

0.67 Laps per minute

Step-by-step explanation:

4 Laps over 6 Minutes

4/6 = 0.67

Answer:

4.768×10^3

Step-by-step explanation:

4768 in standard form:

4.768 *10^3

It already is in standard form.

Answer:

120.

Step-by-step explanation:

area = L x W which means you multiply 15x 8.

Answer:

Members that voted yes = 15 Members

Step-by-step explanation:

Members that voted yes : members that voted no = 5 : 1

Total ratio = 5 + 1 = 6

total school board members that voted = 18

how many voted yes for new math books?

Members that voted yes = 5/6 × 18

= 0.8333333333333 × 18

= 15 members

Members that voted yes = 15 Members

members that voted no = 1/6 × 18

= 0.1666666666666 × 18

= 3

members that voted no = 3 members

Answer:

D). The distribution of the data is symmetrical, so the mean and median are within the "2.1-3 mile" category.

Step-by-step explanation:

The last statement i.e. 'The distribution..."2.1-3 mile" category' correctly asserts a true claim regarding the data provided in the given histogram. It aptly states that the dissemination of the data is uniform(2, 4, 5, 4, 2(no. of students) live between the distance of 0.1 to 5 miles from the school) and this causes both the mean, as well as, the median of the distribution to fall in the category between '2.1 to 3 mile.' Thus, option D is the correct answer.

Answer: 14

Step-by-step explanation:

Given

Excavation cone measures

height [tex]h=6\ ft[/tex]

Diameter [tex]d=30\ ft[/tex]

Truck can dump [tex]125\ ft^3[/tex] at a time

The volume of a cone is

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Putting values

[tex]\Rightarrow V=\dfrac{1}{3}\times \pi\times 15^2\times 6\\\Rightarrow V=1413.9\approx 1414\ ft^3[/tex]

No of trips(N) required to accumulate this much volume is given by

[tex]\Rightarrow N=\dfrac{1414}{125}=13.3\approx 14[/tex]

Therefore, 14 trips are necessary to accumulate a cone of volume [tex]1414\ ft^3[/tex]

Answer:

y = 2.5

Step-by-step explanation:

-4y = -8-2

-4y = -10

y = -10÷-4

y = 2.5

Answer:

72°

Step-by-step explanation:

here's your solution

=> we know angle A + angle S = 2

=> angle 2 = 30° + 42°

=> 72°

hope it helps

Answer:

(10,-1)

Step-by-step explanation:

Answer:

10,-1

Step-by-step explanation:

when going right it adds a positive number to the x axis

when going left it adds a negative number to the x axis (same as subtracting)

when going up it adds a positive number to the y axis

when going down it adds a negative number to the y axis (same as subtracting)

Step-by-step explanation:

Q Nine divided by the product of a number and Five

Let the number = x

product of a number and Five = x * 5 = 5x

The expression is given as;

[tex]\frac{9}{5x}[/tex]

Q2 The product of a sum and difference of x and y​

Sum of x and y = x + y

Difference of x and y = x - y

The expression is given as;

(x + y) * ( x -y)

x^2 + xy - xy - y^2

x^2   - y^2

Answer:

$6000

Step-by-step explanation:

Given data

Principal=$10000

Rate=4%

time=15years

The simple interest id found by

SI=PRT/100

substitute

SI=10000*4*15/100

SI= 600000/100

SI=$6000

Hence the interest is $6000

Answer:

$2.54 per gallon

Step-by-step explanation:

30.48 / 12 = 2.54

Answer:

$2.54

Step-by-step explanation:

30.54 / 12 = 2.54

Answer:

82 degrees

Step-by-step explanation:

Hope this helps!

Lmk if you have any questions!

Have a great day! :)

Answer:

KL = 6.75cm

JL = 9.3cm

Step-by-step explanation:

SInce Angle DEF is similar to angle JKL.

Then;

DE/EF = JK/KL

Given

DE = 4cm

JK = 3cm

EF = 9cm

Substitute

4/9 = 3/KL

4KL = 27

KL = 27/4

KL = 6.75cm

Similarly

DF/EF = JL/KL

12.4cm/9 = JL/6.75

9JL = 12.4 * 6.75

9JL = 83.7

JL = 83.7/9

JL = 9.3cm

Answer:

B 10/26

Step-by-step explanation:

Cosine is the adjacent side over the hypotenuse.

Step-by-step explanation:

cos A=base/hypotenuse

cosA=10/26 is your answer

Answer:

20

Step-by-step explanation:

the hypotenuse is double the length of the shortest leg

Answer:

m+5=7

Step-by-step explanation:

a number=m

increased by 5= +5

is 7 = =7

(a number) 5 (increased by 5) +5 (is 7) =7

                  5                             +5          =7

Answer:

1/7 > 1/8

Step-by-step explanation:

In fractions, is the numerator is one on both numbers, then whichever denominator is largest means the fraction is the smallest.

Answer:

a)3√5

b)11√7

is answer.

Answer:

1. 40 ft

2. 150 bricks

3. 100 ft

Step-by-step explanation:

Answer:

1st place on perimeter is 40

last on perimeter is 100

2nd place on # of bricks is 150

Step-by-step explanation:

200 bricks is 80 square feet, so 200/80 is 2.5. so 2.5 bricks is one square foot, that means that 25 bricks is 10 square feet, 20 is 50, and so on

20 out of 100 read 5 or more.

20/100 = 0.2

Now multiply the total students by 0..2:

275 x 0.2 = 55

55 people read 5 or more books.

-6y-12<12-4y

First, add 12 on both sides.

-6y<24-4y

Now add 4y on both sides.

-10y<24

Divide -10.

y<-2.4

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hope it helps

Answer:

y > -12

Explanation:..

Answer:

Step-by-step explanation:

mkk

Answer:

x=114 i believe

Step-by-step explanation:

x+66=180

subtract 66 from 180,which gives you 114

Answer:

use the app socratic to find the answer

Answer:

8/9

Step-by-step explanation:

5a-3=a/2+1

2(5a-3)=a+2

10a-6=a+2

10-a=6+2

9a/9=8/9

a=8/9

Answer: The real distance from the shop to the store = 24 km.

Step-by-step explanation:

Given: The distance from the big star coffee to the restaurant supply store  = 3cm  (On map)

Scale of the map : 1 cm to 8 km

That means, the real distance from the shop to the store = 3 x ( 8 km ) = 24 km

Hence, the real distance from the shop to the store = 24 km.

Answer:

3b = 3 x 5

3 x 5 + 10 = 15 + 10 = 25