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fenix001 [56]
3 years ago
14

A recipe includes 6 cups of flour and three fourths cup of butter butter. Write the ratio of the amount of flour to the amount o

f butter butter as a fraction in simplest form.
Mathematics
1 answer:
vodka [1.7K]3 years ago
4 0
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jason mixed 8ml of a salt solution with 11ml of a 47% salt solution to make a 43%salt solution. find the percent salt concentrat
choli [55]

Let x% be the salt concentration of first solution.

Then in 8ml, amount of salt = \frac{8x}{100}

Given that to this 8ml solution, 11ml solution of a 47% salt solution is mixed.

amount of salt in 11ml of 47% salt solution is \frac{11*47}{100} = \frac{517}{100}

So, total amount of salt in new mixture = \frac{8x}{100} +\frac{517}{100} = \frac{8x+517}{100}

But given that this new solution is a 43% salt solution.

Hence amount of salt in new mixture of (8+11)=19ml solution of 43% salt solution is \frac{19*43}{100} = \frac{817}{100}

Hence \frac{8x+517}{100} = \frac{817}{100}

            8x+517 = 817

             8x=817-517 = 300

          x= 300/8 = 37.5

Hence the salt concentration in the first solution is 37.5%

8 0
3 years ago
Amanda ate 1/3 of her mom's pie. she gave the remaining 2/3 to 4 friends, What fraction did each friend get.
Semenov [28]
So she divided the 2/3 between 4 friends.

So each friend got 2/3 divided by 4, which gives:

(2/3)*(1/4) = 2/12 = 1/6
7 0
3 years ago
4. If A is at (4, -1) and B is at (2,-7), find the midpoint of segment AB.
melomori [17]
The answer is (3,-4). On a graph you see it is right in the middle. Hope this helps.

8 0
3 years ago
The width of Estelle's rectangular living room is 4 meters, and the distance between opposite corners is 7 meters. What is the l
Crank

Answer:

5.7 meters

Step-by-step explanation:

Image a rectangle being cut diagonally in half, that would lead to two triangles. We can use the pythagorean theorem to find the missing side.

7 is the hypotenuse and 4 is the side length

4^2+x^2=7^2

16+x^2=49

sqrx=sqr(49-16)

x=sqr33

x=5.74

Rounded to the nearest tenth is 5.7

6 0
3 years ago
Complete the equation of the graphed linear function. Write the slope in decimal form.
erma4kov [3.2K]

Every straight line graph has an equation in the same form:

             y  =  (slope of the line) x  +  (y-intercept) .


-- The slope of the line is

     (how far it goes UP, going left to right between any 2 points)
divided by
     (how far it goes left to right between the same 2 points) .

The line on this graph has a slope of  + 1/2 .


-- The y-intercept is the point where the line crosses the y-axis.
The line on this graph crosses the y-axis at  -1 .

                       y  =  (slope of the line) x  +  (y-intercept) .                     

                       y  =      ( 0.5 ) x                            ( - 1 ) .

6 0
3 years ago
Read 2 more answers
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