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3 years ago

The recipe calls for 3 cups of ketchup for every 1/2 cups of mustard.

Mathematics

2 answers:

yaroslaw [1]3 years ago

6 0

Answer:

6 ketchup / 1 mustard

Step-by-step explanation:

3 ketchup = 0.5 mustard

6 ketchup per 1 mustard

OleMash [197]3 years ago

4 0

Answer:

6:1

Step-by-step explanation:

For every 3 cups of ketchup, you need 1/2 cup of mustard, and since the ratio is asking you for a ratio in <u>cups,</u> you need to multiply both 3 and 1/2 by 2, so you can get the 1/2 to a full cup, giving you the ratio of 6 cups of ketchup to 1 cup of mustard.

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Dylan invested $20,000 in an account paying an interest rate of 5.3% compounded continuously. Assuming no deposits or withdrawal

almond37 [142]

Answer:

$24,240

Step-by-step explanation:

20,000 + 1,060 (5-1)

7 0

3 years ago

A sequence is constructed according to the following rule: its first term is 7, and each next term is one more than the sum of t

Iteru [2.4K]

Answer:

Step-by-step explanation:

According to the described rule, we have

$a_1=7\\ \\a_1^2=7^2=49\Rightarrow a_2=4+9+1=14\\ \\a_2^2=14^2=196\Rightarrow a_3=1+9+6+1=17\\ \\a_3^2=17^2=289\Rightarrow a_4=2+8+9+1=20\\ \\a_4^2=20^2=400\Rightarrow a_5=4+0+0+1=5\\ \\a_5^2=5^2=25\Rightarrow a_6=2+5+1=8\\ \\a_6^2=8^2=64\Rightarrow a_7=6+4+1=11\\ \\a_7^2=11^2=121\Rightarrow a_8=1+2+1+1=5\\ \\\text{and so on...}$

We can see the pattern

$a_5=a_8=a_{11}=a_{14}=...=5\\ \\a_6=a_9=a_{12}=a_{15}=...=8\\ \\a_7=a_{10}=a_{13}=a_{16}=...=11$

In other words, for all $k\ge 2$

$a_{3k-1}=5\\ \\a_{3k}=8\\ \\a_{3k+1}=11$

Now,

$a_{2018}=a_{3\cdot 673-1}=5$

7 0

3 years ago

A rectangles length is 1.5 times its width. The perimeter of the rectangle is four more than 3 times the length. What are the di

vovikov84 [41]

Answer:

8 by 12 units

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is 1.5w. The perimeter is 4 more than 3 times this, so is (3(1.5w) +4) = 4.5w+4

The perimeter is given by the formula ...

P = 2(length + width)

Filling in the given values for the variables, we have ...

4.5w +4 = 2(w +1.5w)

4 = 0.5w . . . . . . subtract 4.5w and collect terms

8 = w . . . . . . . . . multiply by 2

length = 1.5×8 = 12

The rectangle is 8 units wide and 12 units long. The perimeter is 40 units.

4 0

3 years ago

Find the axis of symmetry for this parabola: <br><br> y=-5x^2-10x-13

Dmitry [639]

Answer:

x=1

Step-by-step explanation:

1. Complete the square on the right side of the equation.

5 ( x − 1 )2 − 18

2. Use the vertex form, y = a ( x − h ) 2 + k , to determine the values of a , h , and k . a= 5 h = 1 k = − 18

3. Since the value of a is positive, the parabola opens up.

Opens Up

4. Find the vertex ( h , k ) . ( 1 , − 18 )

5. Find p , the distance from the vertex to the focus.

1 /20

6. Find the focus.

7. ( 1 , − 359/ 20 )

8. Find the axis of symmetry by finding the line that passes through the vertex and the focus.

ANSWER: x = 1

6 0

3 years ago

Amber has some state quarters in her pocket. She collects the following data by randomly pulling one quarter recordings the stat

ch4aika [34]

To do this problem, we need one more piece of information. He need to know the percent of the quarters that are from New York.

If you had that number, just multiply it by 300.

For example, if 10% of the coins were from New York, just multiply by 0.1.
0.1 x 300 = 30

4 0

3 years ago