Dena reads 361 minutes 1 Week then she reads 212 minutes how many minutes then she read using rounding

Scott's gas tank is 1/3 full. After he buys 12 gallons of gas, it is 7/9 full. How many gallons can Scott's tank hold?

Bumek [7]

Answer: We start with the variable "x". Let's call "x" Dan's full tank.

So we know that right now he has 1/3x or 1/3 of a full tank.

After adding 12 gallons, at the end, he has 7/9x, or 7/9 of a full tank

So we start with

(1/3)x + 12 = 7/9x

Let's subtract 1/3x from both sides

12 = 7/9x - 1/3x

Remember, we need to use common denominators to subtract, so 1/3 becomes 3/9

12 = 7/9x - 3/9x

Now we simplify to get

12 = 4/9x

Multiply the reciprocal of 4/9 to both sides which is 9/4

12 * 9/4 = x

Answer is 27 gallons.

6 0

2 years ago

How do you get-4 to 4<br> How do you get -4 to 4

ahrayia [7]

Answer:

multiply by negitive 1

8 0

3 years ago

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Here is a triangular pyramid and its net.

galben [10]

Answer:

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$

${\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}$

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

$\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}$

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

$\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}$

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

$\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}$

Hence,

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

8 0

2 years ago

The temperature at noon at a ski resort is 3 F . The temperature drops 8 F by midnight what is the temperature at midnight

DIA [1.3K]

Answer:

-5

Step-by-step explanation:

3 minus 8 equals -5

(20 characters needed)

4 0

3 years ago

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Sam shot the basketball 15 times. 40% of his shots were made. How many shots did Sam make?

love history [14]

Answer:

6

Step-by-step explanation:

40% is equal to 40/100

He made 40% of 15 shots so you miltiply 15 by 40/100 which is equal to 6.

6 0

2 years ago

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