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Reika [66]
3 years ago
13

A science experiment calls for mixing 3 and two-thirds cups of distilled water with 1 and three-fourths cups of vinegar and Two-

thirds cups of liquid detergent. How much liquid in all, in cups, is needed?
Mathematics
1 answer:
Sonbull [250]3 years ago
5 0

Answer: 6 and 1/12 cups

Step-by-step explanation:

For this problem, we add 3 and 2/3 + 1 and 3/4 + 2/3. We can change these mixed numbers into improper fractions to make the math easier:

11/3 + 7/4 + 2/3

Next, we can add the 11/3 and 2/3 since they have the same denominator (bottom number). This gives us 13/3.

13/3 + 7/4

Now that we have two fractions, we just add them together. This leaves us with 6 and 1/2.

If you're having trouble with adding fractions with denominators that aren't the same, here are some videos (if you can't click the link, just copy and paste into the search bar):

<u>https://youtu.be/bcCLKACsYJ0</u> -- Khan Academy

<u>https://youtu.be/5juto2ze8Lg</u> -- Math Antics

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If f(x)=x^2+3x+4 which of the number choices represents (f(x+h)-f(x))/h?
Helen [10]

In case you're not already aware, the expression \frac{f(x+h)-f(x)}h is called the "difference quotient" and represents the average rate of change of a function f over an interval [x,x+h].

For the function f(x)=x^2+3x+4, by substituting x+h we get

f(x+h)=(x+h)^2+3(x+h)+4=(x^2+2xh+h^2)+(3x+3h)+4=x^2+3x+4+(2x+3)h+h^2

Then the difference quotient is

\dfrac{f(x+h)-f(x)}h=\dfrac{(x^2+3x+4+(2x+3)h+h^2)-(x^2+3x+4)}h

=\dfrac{(2x+3)h+h^2}h=2x+3+h

where the last equality holds as long as h\neq0.

5 0
3 years ago
Chapman’s brickyard sells bricks and blocks. A brick costs $0.38 and a block costs $1.56. The brickyard filled a $24.80 order, w
Lisa [10]

Answer:

number of bricks = 16 and number of blocks  = 12

Step-by-step explanation:

From given information it seems , we need to determine number of bricks and number of blocks.

lets assume number of bricks = x

and number of blocks = y

since total items in brickyard is 28

⇒  number of bricks + number of blocks = 28

⇒ x + y = 28         ----------------------- equation 1

Given that cost of 1 brick = $0.38  and cost of 1 block =$1.56

so cost of x bricks = cost of 1 brick × x = 0.38x

And cost of y blocks = cost of 1 block × y = 1.56y

total cost of 28 items order = $24.80

total cost of 28 items = cost of x bricks + cost of y blocks

⇒0.38x + 1.56y = 24.80 ----------------equation 2

Now we are having following two equations

x + y = 28         ----------------------- equation 1

0.38x + 1.56y = 24.80 ----------------equation 2

from equation 1 we get x = 28 - y , substituting this value of x in equation 2 we get

0.38(28 - y) + 1.56y =  24.80

⇒10.64-0.38y+1.56y= 24.80

⇒1.18y = 24.80 - 10.64

⇒y = 14.16÷1.18 = 12

substituting value of y in equation 1 we get

x + 12 = 28

⇒x = 16

hence  number of bricks = x  = 16 and number of blocks = y = 12



4 0
3 years ago
Match the meaning of each of the following expressions help
Dmitriy789 [7]
9.
3.
1.
4.
2.
7.
5.
6.
8.
10.
4 0
3 years ago
Read 2 more answers
There are 7.55 grams of sugar in 5 servings of strawberries. How many grams of sugar are in a single serving of strawberries?
balandron [24]

Answer:

1.51

Step-by-step explanation:

Divide 7.55 by 5 and it equals 1.51

7 0
3 years ago
Read 2 more answers
If the textbook weight 19.6 newtons on venus, what is the strenght of gravity on that planet?
victus00 [196]

Answer:

8.91m/s²

Step-by-step explanation:

If you were referring to the question :

If a 2.2 kg textbook weighs 19.6 newtons on Venus, what is the strength of gravity on that planet then read on.

Weight is the force of gravity on an object and it can be computed using the formula:

W = mg

where:

W = weight (N)

m = mass (kg)

g = acceleration due to gravity

So we know the weight and the mass of the object, all we do is plug it into our formula and solve for what we do not know.

W = mg\\\\19.6N = (2.2kg)(g)\\\\ \dfrac{16.6N}{2.2kg} = g\\\\8.91m/s^{2} = g

6 0
3 years ago
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