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ra1l [238]
2 years ago
8

Marcus is making homemade barbecue sauce. The recipe calls for 3 cups of ketchup for every 1/2 cup of mustard. What is the rate

in cups of ketchup per cup of mustard?
Mathematics
1 answer:
Yuki888 [10]2 years ago
5 0

Answer: 6 cups of ketchup per cup of mustard

Step-by-step explanation:

Given : The recipe calls for 3 cups of ketchup for every \dfrac12 cup of mustard.

That means , for \dfrac12 cup of mustard. we need 3 cups of ketchup.

By using proportions, if we multiply 2 on both sides ,we get

for  \dfrac12\times 2 cup of mustard. we need 3\times 2 cups of ketchup.

⇒ for  1 cup of mustard. we need 6 cups of ketchup.

Hence, the required rate = 6 cups of ketchup per cup of mustard

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3 0
1 year ago
A manageress earned £24,500 last year. This year she earns £25,235.
Korolek [52]

Answer:

Step-by-step explanation:

245000 last year

This year 25235

(y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)  

(( £25.235 - £24.500) / £24.500) * 100 = 0 %

There ain't no percentage change as there needs to be a bigger difference between the two numbers plus u should use the formula

7 0
1 year ago
Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x – 2)2 + 3?
Andrei [34K]

Answer:

A. right 2, up 3

Step-by-step explanation:

We have that,

The function f(x) = x^2 is transformed to g(x) =(x- 2)^2+3.

We see that,

The function f(x) is translated 2 units to the right and 3 units upwards to obtain the function g(x).

So, the correct transformation is 'right 2, up 3'.

Hence, option A is correct.

5 0
2 years ago
Read 2 more answers
The line 3y+x=25 is a normal to the curve y=x2-5x+k.find the value of constant k.
ladessa [460]

Answer:

k = 11.

Step-by-step explanation:

y = x^2 - 5x + k

dy/dx = 2x - 5 = the slope of the tangent to the curve

The slope of the normal = -1/(2x - 5)

The line  3y + x =25 is normal to the curve so finding its slope:

3y = 25 - x

y = -1/3 x + 25/3 <------- Slope is -1/3

So at the point of intersection with the curve, if the line is normal to the curve:

-1/3 = -1 / (2x - 5)

2x - 5 = 3  giving x = 4.

Substituting for x in y = x^2 - 5x + k:

When x = 4, y =  (4)^2 - 5*4 + k  

y = 16 - 20 + k

so y = k - 4.

From the equation y = -1/3 x + 25/3,  at x = 4

y = (-1/3)*4 + 25/3 = 21/3 = 7.

So y = k - 4 = 7

k = 7 + 4 = 11.

6 0
2 years ago
Dwayne earns $11.45 per hour.Last week he worked 38 1/4 hours.how much did he earn last week?
Tcecarenko [31]

Answer:

$2,000

Step-by-step explanation:

8 0
2 years ago
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