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Flura [38]
3 years ago
9

Please help this is the last question!

Mathematics
1 answer:
Ratling [72]3 years ago
8 0

Answer:

13 levels

Step-by-step explanation:

Direct variation can be expressed using the formula:

y = kx, where 'k' is the constant of variation

Since Michael can move up 5 levels in 55 minutes:

n = km, where 'n' is the number of levels and 'm' is the number of minutes:

5 = 55k

k = 1/11

To find the number of levels after 143 minutes:

n = (1/11)(143)

n = 13 levels

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I will mark you as the brainiest if you get this correct<br> Thx so much xxx
Dvinal [7]

Answer:

125 ml

Step-by-step explanation:

250 ml is required to make 8 pancakes, so in order to make half as many pancakes, you will need half as much milk.

250 ÷ 2 = 125

8 0
3 years ago
The length of a rectangular garden is 8 feet longer than the width. The garden is surrounded by a 4-foot sidewalk. The sidewalk
ladessa [460]
1. The information given in the problem is:

 - <span>The length of a rectangular garden is 8 feet longer than the width.
 - </span><span>The garden is surrounded by a 4-foot sidewalk.
 - The area of the sidewalk is 320 ft</span>².

 2. So, the length of the rectangular garden is:

 L1=8+W1

 3. The formula for calculate the area of the sidewalk, is:

 A2=L2xW2

 "A2" is the area of the sidewalk (A2=320 ft²).

 "L2" is the length of the sidewalk.

 "W2" is the widht of the sidewalk.

 4. The length of the sidewalk (L2) is:

 L2=L1+4+4    (4 feet on each side)
 L2=L1+8

 5. When you substitute L1=8+W1 into the equation L2=L1+8, you obtain:

 L2=8+W1+8
 L2=W1+16

 6. The widht of the sidewalk is:

 W2=W1+4+4
 W2=W1+8

 7. Now, you must substitute the length and the widht of the sidewalk into the formula A2=L2xW2:

 A2=L2xW2
 A2=(W1+16)(W1+8)
 320=W1²+16W1+8W1+128
 W1²+16W1+8W1+128-320=0
 W1²+16W1+8W1-192=0

 8. When you solve the quadratic equation, you obtain the value of W1:

 W1=16.97 ft

 9. Finally, you must substitute the value of W1 into the formula L1=8+W1:

 L1=8+W1
 L1=8+16.97 
 L1=24.97 ft

 10. Therefore, the dimensions of the garden are:

 L1=24.97 ft
 W1=16.97 ft
5 0
3 years ago
Consider the following function. f(x)=x^2+2x+1.
Gekata [30.6K]

Answer:

A) x² + 2x + 6

B) x² + 2x - 7

C) ¼(x²+2x+1))

D) 6x²+12x+6

E) -x²-2x-1

Step-by-step explanation:

A) f(x) + 5 =x²+2x+1 + 5

= x² + 2x + 6

B) f(x)-8,=x^2+2x+1-8

= x² + 2x - 7

C) ¼f(x) = ¼(x²+2x+1)

D) 6f(x) = 6(x²+2x+1) = 6x²+12x+6

E) -f(x) = -(x²+2x+1) = -x²-2x-1

4 0
3 years ago
Red, green, and white jellybeans are combined in a ratio of 5:4:3, respectively. What is the ratio of green jelly beans to the t
Rainbow [258]

We have been given that red, green, and white jellybeans are combined in a ratio of 5:4:3 respectively. We are asked to find out the ratio of green jelly beans to the total number of jelly beans.

In order to find out  the ratio of green jelly beans to the total number of jelly beans we have to find out the total number of jelly beans.

\text{Total number of jelly beans}=5+4+3=12

Now we can find out out our desirable ratio by substituting our finding in the ratio.

\text{Number of green jelly beans}:\text{Total number of jelly beans}=4:12\\=1:3

Therefore, ratio of green jelly beans with respect to all jelly beans is 1:3.


6 0
4 years ago
Translate the statement into an equation or inequality. The sum of 5 and a number is less than the product of the number and 7 m
RideAnS [48]

Answer:

2x-4=10

2x=14

x=7

2. 3x+3=2x-1

3x-2x=-1-3

x=-4

3. 7x+x=24

8x=24

x=3(

4. 5+x=-18

x=-18-5

x=-23

5. -14=10-6x

6x=10+14

6x=24

x=4

6. 2x-2=x+12

2x-x=12+2

x=14

7. 3x-31=2

3x=2+31

3x=33

x=11

8. 5x-14=16

5x=16+14

5x=30

x=6

9. 2x+8=4(5-x)

2x+8=20-4x

2x+4x=20-8

6x=12

x=2

10. 2x-3=3(1+x)

2x-3=3+3x

2x-3x=3+3

-x=6

4 0
3 years ago
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