Alan mixes 1 1/3 cups of milk with a can of condensed soup. He makes a total of 2 5/8 cups of soup. How many cups of condensed soup were in the can?

Answers

Answer 1

Answer: Subtract 2_5/8 minus 1_1/3:
First, get the fractions to have a common denominator by multiplying the denominators together: 8*3 = 24
Rewrite both fractions with this new denominator:
5/8 needs to be multiplied by 3 on top and bottom to make it have a denominator of 24:
5/8 * 3/3 = 15/24
1/3 needs to be multiplied by 8 on top and bottom to make it have a denominator of 24:
1/3 * 8/8 = 8/24
Now that the fractions have been rewritten with the same denominator, subtract the mixed numbers:
2_15/24 - 1_8/24
Whole numbers:
2 - 1 = 1
Fractions:
15/24 - 8/24 = 7/24.
The can of condensed soup contains 1_7/24 cup

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Marcia drew a plan for a rectangular piece of material that she will use for a blanket. Three of the vertices are (-2.6, -1.5), ( -2.6,3.3), and (2.7, 3.3). What are the coordinates of the fourth vertex?

Answers

Answer:

$(2.7,-1.5)$

Step-by-step explanation:

The points are $A(-2.6,1.5), B(-2.6,3.3), C(2.7,3.3)$

The fourth vertex will can be found by the points $A$ and $C$ .

The angles between the sides of a rectangle are $90^(\circ)$ .

The $x$ coordinate will be the same as $C$ and the $y$ coordinate will be the same as $A$ . The fourth verex is $D$ .

So, the fourth vertex of the rectangular piece will be $(2.7,-1.5)$ .

A 50 meter path surrounds a rectangular garden . The width of the garden is two-thirds its length. find its area.

Answers

$w-width\nl-length\n\n2w+2l=50\to w+l=25\nw=(2)/(3)l\n\nsubstitute:\n\n(2)/(3)l+l=25\n\n(5)/(3)l=25\ \ \ \ /\cdot(3)/(5)\n\nl=15\ (m)\n\nw=(2)/(3)\cdot15=10\ (m)\n\nArea:A_{\fbox{ }}=wl\to A_{\fbox{ }}=10\cdot15=150\ (m^2)$

Help me please Simplify the expression by combining like terms.3.6x+5.9−2.2−1.7x
Enter your answer as an expression, like this: 42x+53

Answers

1.9x+3.7

Steps:
1) subtract 3.6x-1.7x=1.9x
2) subtract 5.9-2.2=3.7
3) 1.9x+3.7

Which of equation represents a function? A. x2 + y2 = 9 B. {(4, 2), (4, –2), (9, 3), (9, –3)} C. x = 4. 2x + y = 5

Answers

The answer to your questions is B. {(4, 2), (4, –2), (9, 3), (9, –3)} because you don't have a repeat of a number the X side which is your output. I hope that this is the answer that you were looking for and it has helped you.

Solve x2+5-14=0 I need help!

Answers

Answer:

x = 3 or x = -3

Step-by-step explanation:

x^2 -9 =0

x^2 = 9

x = 3 or x = -3

Step-by-step explanation:

if your question is

x²+5-14=0

x²-9=0

x²=9

x=√9

x=3 ans

Find an equation in standard form for the ellipse with the vertical major axis of length 6 and minor axis of length 4

Answers

Answer:

x^2/4 +y^2/9 = 1

Step-by-step explanation:

The standard form is ...

(x -h)^2/a^2 +(y -k)^2/b^2 = 1

for an ellipse centered at (h, k) with semi-axis measures "a" and "b". The largest of "a" or "b" is the semi-major axis; the smaller, the semi-minor axis.

Here, the major axis is vertical, so b > a.

Since the center is not given, we assume it is the origin: h = k = 0. The semi-axes are a=2, b=3, so the equation is ...

x^2/4 +y^2/9 = 1

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