A recipe for 1 batch of cookies calls for 1/2 of a cup of raisins. Diego has 2 cups of raisins. How many batches can he make?

1 answer:

8 0

$\begin{array}{ccll} batches&cups\\ \cline{1-2} 1&\frac{1}{2}\\[1em] x&2 \end{array}\implies \cfrac{1}{x}=\cfrac{~~\frac{1}{2} ~~}{2}\implies \cfrac{1}{x}=\cfrac{~~\frac{1}{2} ~~}{\frac{2}{1}}\implies \cfrac{1}{x}=\cfrac{1}{2}\cdot \cfrac{1}{2} \\\\\\ \cfrac{1}{x}=\cfrac{1}{4}\implies 4=x$

You might be interested in

What is the sum of the first positive even numbers?

ioda

Answer:

Step-by-step explanation:

8 0

3 years ago

Point A is located at (5, 10) and point B is located at (20, 25).

Alla [95]

Let's say the point is C, so C partitions AB into two pieces, where AC is at a ratio of 3 and CB is at a ratio of 7, thus 3:7,

$\bf \left. \qquad \right.\textit{internal division of a line segment}
\\\\\\
A(5,10)\qquad B(20,25)\qquad
\qquad 3:7
\\\\\\
\cfrac{AC}{CB} = \cfrac{3}{7}\implies \cfrac{A}{B} = \cfrac{3}{7}\implies 7A=3B\implies 7(5,10)=3(20,25)\\\\
-------------------------------\\\\
{ C=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)}\\\
-------------------------------$

$\bf C=\left(\cfrac{(7\cdot 5)+(3\cdot 20)}{3+7}\quad ,\quad \cfrac{(7\cdot 10)+(3\cdot 25)}{3+7}\right)
\\\\\\
C=\left( \cfrac{35+60}{10}~~,~~\cfrac{70+75}{10} \right)\implies C=\left(\cfrac{95}{10}~~,~~\cfrac{145}{10} \right)
\\\\\\
C=\left( \cfrac{19}{2}~~,~~\cfrac{29}{2} \right)\implies C=\left( 9\frac{1}{2}~~,~~14\frac{1}{2} \right)$

8 0

3 years ago

Angle MNP ~ Angle HJK. Both triangles are isosceles. If m

marysya [2.9K]

Angle 45

Because it could be 45,45,90

3 0

2 years ago

Quadrilateral ABCD is a kite. If AD=AB, find AD A. 5/3 B. 7 C. 5/7 D. 22

ICE Princess25 [194]

AD = AB

AD = 2r+8
AB = 5r-13

we need to find the value of r to find the total length

so 2r+8 = 5r-13
subtract 2r from each side:
8 = 3r -13
add 13 to each side:
21 = 3r
divide both sides by 3
r = 21 / 3 = 7
r=7
now we know r, so replace r with 7 in the equation for AD

AD = 2r+8 = 2(7) +8 = 14 +8 = 22

the answer is D. 22

5 0

3 years ago

Mrs. Adenan sold 63 bracelets at one craft fair and 36 bracelets at a second craft fair. Which expression correctly applies the

stellarik [79]

63 + 36...there is a common factor of 9
9(7 + 4) <== this is equivalent

63 + 36...there is a common factor of 3
3(21 + 12)...but this is not an answer choice...but it is equivalent

7 0

3 years ago