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yan [13]
3 years ago
12

Spencer ran the first leg of a relay in 13.56 seconds. Michael ran the second leg. The total time it took both boys to run the r

ace was 26.49 seconds. How long did it take Michael to run the second leg of the race?
Mathematics
1 answer:
zalisa [80]3 years ago
3 0

Answer:

12.93

Step-by-step explanation:

26.49-13.56= 12.93

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Tommy opens an account with $50 and deposits $10 a week. The same week, Shelby opens an account with $25 and adds $10 a week. ho
asambeis [7]
There is no solution since they are both adding $10 to their accounts every week.
6 0
2 years ago
Which of the following verifies that AABC is similar to ADEF?
nasty-shy [4]

Answer:

B. SAS Theorem

Step-by-step explanation:

SAS means that there are 2 corresponding sides with an angle in between. This condition is satisfied in this case because AC corresponds to DF (18/2 = 9), angle c and angle f are congruent, and BC corresponds to EF

6 0
2 years ago
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A certain shade of pink is created by adding 3 cups of red paint to 7 cups of white paint.
vazorg [7]

Answer:

7/3 is constant of proportionality and, 3/7 of a cup of red paint should be added to 1 cup of white paint.

Step-by-step explanation:

Constant of proportionality is the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.

To make color pink,

for every 3 cups of red , we need 7 cups of white.

Let 'r' be the cups of red required

let 'w' be the cups of white required

so , as per the question

for 3 r we need = 7 w

r = 7/3 w

so, 7/3 is constant of proportionality and, 3/7 of a cup of red paint should be added to 1 cup of white paint.

You already have the answer! ;)

4 0
2 years ago
Write 15% as fraction or mixed number in simplest form
STatiana [176]
15/100

Im pretty sure thats the answer :3
6 0
3 years ago
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Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = 4x^2 + 5x – 1.
just olya [345]

Answer:

The equation of the axis of symmetry is x = -\frac{5}{8}

The coordinates of the vertex are ( -\frac{5}{8} , -2\frac{9}{16} ) ⇒ 2nd answer

Step-by-step explanation:

The quadratic function y = ax² + bx + c is represented graphically by a parabola which has a minimum/maximum vertex (h , k), where

  • h = -\frac{b}{2a} and k is value y at x = h
  • The axis of symmetry of the parabola is a vertical line passes through the vertex point and its equation is x = h
  • The minimum/maximum value of the function is (h , k)

∵ y = 4x² + 5x - 1

∵ The form of the quadratic function is y = ax² + bx + c

∴ a = 4 , b = 5 , c = -1

∵ The coordinates of the vertex points are (h , k)

∵ h = -\frac{b}{2a}

∴ h = -\frac{5}{(2)(4)}=-\frac{5}{8}

- To find k substitute x in the function by -\frac{5}{8}

∵ k = 4 ( -\frac{5}{8} )² + 5( -\frac{5}{8} ) - 1

∴ k = 4 ( \frac{25}{64} ) + ( -\frac{25}{8} ) - 1

∴ k =  \frac{25}{16}  - \frac{25}{8}  - 1

∴ k = -2\frac{9}{16}

∴ The coordinates of the vertex are ( -\frac{5}{8} , -2\frac{9}{16} )

∵ The equation of the axis of symmetry is x = h

∵ h = -\frac{5}{8}

∴ The equation of the axis of symmetry is x = -\frac{5}{8}

7 0
3 years ago
Read 2 more answers
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