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1 year ago

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Tom has a water tank that holds 5 gallons of water.Tom uses water from a full tank to fill 6 bottles that each hold 16 ounces an

d a pitcher that holds 1/2 gallon.How many ounces of water are left in the water tank?

1 answer:

Rainbow [258]1 year ago

8 0

1/2 Gallon is equal to 64 ounces
16 x 6 = 96
96 + 64 = 160
5 gallons is equal to 640
640 - 160 = 480

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What is the solution to this eqution? 3x +17 + 5x = 7x +10

ddd [48]

Answer:

-7

Step-by-step explanation:

3x +17 + 5x = 7x +10

3x +17 + 5x - 7x = +10-17

x=-7

4 0

1 year ago

What is the greatest whole number that will divide both 792 and 990 exactly

Nastasia [14]

Factor the numbers, starting from the smallest:
792=2*3*3*11*4
990=2*3*3*11*5
the greatest whole number that can be divided by both 792 and 990 is 2*3*3*11=198
the smallest whole number that can divide both 792 and 990 exactly is 2*3*3*11*4*5=3960

Not sure which one you are asked to find.

8 0

1 year ago

Read 2 more answers

A and b are natural numbers. The diameter of cell a is 2.3 , and the diameter of cell b is 2.3 .

Pani-rosa [81]

After clarification we see the respective diameters are

$A = 2.3 \times 10^{-a}$

$B = 2.3 \times 10^{-b}$

We're asked about the ratio

$A:B = 2.3 \times 10^{-a} : 2.3 \times 10^{-b} = 10^{-a} : 10^{-b} = 10^b : 10^a = 10^{b-a} : 1$

Now we can go through the choices.

A. If a = 4 and b = 6, then cell a is 100 times greater than cell b.

$A:B=10^{6-4}:1 = 100:1$

It would be more proper to say the diameter of cell A is 100 times the diameter of cell B, but yes, this is TRUE.

B. If a = 4 and b = 6, then cell b is 100 times greater than cell a.

FALSE. 10 to the minus 4 is 100 times bigger than 10 to the minus 6, so a is bigger.

C. If a = 4 and b = 6, then cell a is 2 times greater than cell b.

FALSE. We already calculated its 100 times bigger.

D. If a = 4 and b = 6, then cell b is 2 times greater than cell a.

FALSE.

8 0

2 years ago

Read 2 more answers

elijah's credit card statement showed these items: Last Balance Payments Finance Rate New Charges $152.58 $45.00 1.5% $213.40 Wh

elena55 [62]

Answer:

Option A,$320.98 is correct

Step-by-step explanation:

The new balance on Elijah's credit is the sum of the last balance plus new charges minus payments made.

last balance as shown by the statement was $152.58

new charges were $213.40

payment made by Elijah was $45

new balance=$152.58+$213.40-$45=$320.98

The rationale for this is that the new charges on the card account add to previous balance owed by Elijah while the payment of $45 made reduces overall balance.

7 0

1 year ago

You have two circles, one with radius r and the other with radius R. You wish for the difference in the areas of these two circl

gtnhenbr [62]

Answer:

maximum difference of radii = $(r-R)=\frac{1}{2\pi ^{2}}$

Step-by-step explanation:

We know that area of circle is given by

$A=\pi \times (radius)^{2}$

For circle with radius 'r' we have

$A_{1}=\pi \times (r)^{2}$

For circle with radius 'R' we have

$A_{2}=\pi \times (R)^{2}$

Now according to given condition we have

$A_{1}-A_{2}\leq \frac{5}{\pi }$

$\Rightarrow \pi r^{2}-\pi R^{2}\leq \frac{5}{\pi }\\\\\Rightarrow (r^{2}-R^{2})\leq \frac{5}{\pi ^{2}}\\\\(r+R)(r-R)\leq \frac{5}{\pi ^{2}}\\\\\because (a^{2}-b^{2})=(a+b)(a-b)\\\\(r+R)=10(Given)\\\\\Rightarrow(r-R)\leq \frac{5}{10\pi ^{2}}\\\\\therefore (r-R)\leq\frac{1}{2\pi ^{2}}$

Thus maximum difference of radii = $(r-R)=\frac{1}{2\pi ^{2}}$

6 0

1 year ago