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Akimi4 [234]
3 years ago
14

A cake recipe for 12 people calls for 8 cups of sugar. If Jenny wants to bake a cake for 7 people, how many cups of sugar should

she use? Express your answer as a mixed number.
Mathematics
1 answer:
Vaselesa [24]3 years ago
3 0
12 people ⇒8 cups

1 person ⇒ 8/12 = 2/3 cup

7 persons ⇒ 2/3 x 7 = 14/3 4 2/3 cups

Answer: She should use 4 2/3 cups of sugar.
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Given: rectangle ABCD is similar to rectangle ZBXY. If ZY = 5, XC = 3, DC = 4, then XY =
soldier1979 [14.2K]

Answer:

The length of XY is either 10 or 2.5.

Step-by-step explanation:

Given information: ZY = 5, XC = 3 and DC = 4.

Case 1: Rectangle ABCD is smaller than ZBXY.

The opposite sides of the rectangle are same.

ZY=BC+XC

5=BC+3

2=BC

The length of ABCD is 4 and width of ABCD is 2. The width of ZBXY is 5. The corresponding sides of the similar rectangles are is in the same proportion.

\frac{4}{XY}=\frac{2}{5}

\frac{4\times 5}{2}=XY

10=XY

Therefore the value of XY is 10.

Case 2: Rectangle ABCD is larger than ZBXY.

ZY=BC-XC

5=BC-3

8=BC

The length of ABCD is 4 and width of ABCD is 8. The width of ZBXY is 5. The corresponding sides of the similar rectangles are is in the same proportion.

\frac{4}{XY}=\frac{8}{5}

\frac{4\times 5}{8}=XY

2.5=XY

Therefore the value of XY is 2.5.

7 0
3 years ago
Read 2 more answers
7900 dollars is placed in an account with an annual interest rate of 5.5%. How much will be in the account after 11 years, to th
Lady bird [3.3K]

Answer:

\$12,679.50

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=11\ years\\ P=\$7,900\\r=5.5\%=5.5/100=0.055

substitute in the formula above

A=7,900(1+0.055*11)

A=7,900(1.605)

A=\$12,679.50

4 0
3 years ago
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Identify the Vertex: x^2 - 12x + 44
nikklg [1K]

The vertex of the given quadratic polynomial function is (6, 8)

A quadratic polynomial function is the one which can be represented in the form ax² + bx + c = y where a, b and c are coefficients and x, and y are independent and dependent variables respectively. A parabola is formed when the quadratic polynomial is plotted on graph. The x coordinate of the vertex can be found using formula (-b/2a) and y coordinate can be found by putting the value of x in the equation.

Given polynomial function x² - 12x + 44

Now, x = (-b/2a)

x = (12/2)

=> x = 6

Now, y = 6² - 12×6 + 44

y = 36 - 72 + 44

=> y = 8

Therefore, Vertex = (6, 8)

Learn more about Vertex of quadratic polynomial at:

brainly.com/question/15385707

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3 0
1 year ago
Giselle pays $190 in advance on her account at the athletic club. Each time she uses the club, $10 is deducted from the account.
Archy [21]
Y= -10x + 190

In using a linear function, follow the pattern y=mx + b.
In this scenario, the m (which represents slope) is -10 since $10 is taken away every time. The b(which represents y-int) is 190 because you start with 190 (x=0)
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3 years ago
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Ames earned $816 each year. He earned x dollars less per month than Matt, who earned $80 per month.
r-ruslan [8.4K]

Answer: Its B and C

Step-by-step explanation:

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2 years ago
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