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Ivahew [28]
3 years ago
6

Ms. Monet is combining 15 cups pf green paint with 15 cups of white paint. She is pouring the paint mixture into empty quart bot

tles. How many quart bottles does she need?
Mathematics
1 answer:
Galina-37 [17]3 years ago
4 0

Answer: she needs 8 quart bottles.

Step-by-step explanation:

Ms. Monet is combining 15 cups of green paint with 15 cups of white paint. This means that the total number of cups containing the mixture of green and white paint us

15 + 15 = 30

1 Us liquid quart = 4 Us cups

x Us liquid quart = 30 Us cups

Cross multiplying,

4x = 30

x = 30/4 = 7.5 quarts of paint

Since she is pouring the paint mixture into empty quart bottles, the number of quart bottles that she needs is approximately 8

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A bus travels from Station A to Station B, and a truck travels from Station B to Station A on the same road. The speed of the bu
prisoha [69]

Answer:

The distance between the two train stations is 1728 km

Step-by-step explanation:

The speed of the bus = 54 km/h

The speed of the truck = 48 km/h

When the bus and truck meet again, the distance covered by the bus = 216 km more than he distance traveled by the truck

Let the distance between the two train stations = x

Let the location where they first meet be y from station A we have;

The location where they meet again = y - 216 km

Therefore, we have;

Location where they

The time for the truck and the bus to meet again = t

Therefore, 54 × t - 48 × t = 216 km

6·t = 216 km

t = 36 hours

Therefore, the time for the bus to travel x + 216 km = 36 hours

54 × 36 = 1944 = x + 216

x = 1944 - 216 = 1728 km

The distance between the two train stations = 1728 km.

3 0
3 years ago
F(x)=-x^2-5 find the range
lina2011 [118]

x =  \frac{ - b}{2a}  \\  =   \frac{0}{2(1)}  = 0 \\ f(0) = (0)^{2}  - 5 \\  = 0 - 5 =  - 5
The vertex is at (0,-5), therefore the range goes from (-infinity, - 5]
4 0
3 years ago
How many real-number solutions does the equation have?
Nataly_w [17]

Answer:

Option b. Two solutions

Step-by-step explanation:

In order to find how many real number solutions the equation has we have to solve it

Given equation: -4x² + 10x + 6 = 0

taking 2 common from the equation

2(-2x² + 5x + 3) = 0

-2x² + 5x + 3 = 0

taking minus sign common from the above equation

2x² - 5x - 3 = 0

We will solve this equation by factorization in such a way that the sum of two factors is equal to -5x and the product is -6x²

2x² - 6x + x - 3 = 0

taking common above

2x(x-3) + 1(x-3) = 0

taking (x-3) common

(2x+1)(x-3) = 0

2x + 1 = 0

2x = -1

x = \frac{-1}{2}

x - 3 = 0; x = 3

the solutions are

x=\frac{-1}{2},3

Both values are real numbers, therefore correct option is b

7 0
3 years ago
Read 2 more answers
4. Allison's vegetable garden is in shape of rectangle with an area of 10 feet^2. The width of
inna [77]

Answer:

33333

Step-by-step explanation:

6 0
3 years ago
Ali has x cards.
valentina_108 [34]

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

If Ali has x cards, then Belinda has 2x cards.

If Ali has x cards, then Charlie has x+5 cards.

2x (Belinda) + x+5 (Charlie) + x (Ali) = 33 (total)

2x + x+5 + x = 33

Now simplify the equation... x+x+5 can be simplified as 2x+5.

2x+5 plus 2x can become 4x+5.

So their total number is 4x+5.

So 4x+5=33.

You want to isolate the variables and numbers.

To remove the 5 from the left side, subtract 5 from both sides.

4x+5-5=4x - 33-5=28

So the equation now is 4x=28

To remove the 4, divide each side by 4.

4x÷4=x - 28÷4=7

So x equals 7, Ali has 7 cards.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

5 0
3 years ago
Read 2 more answers
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