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3 years ago

Martha has 15 feet of a red ribbon and 12 feet of a green ribbon. How many yards does she have altogether

Mathematics

1 answer:

irakobra [83]3 years ago

3 0

15ft + 12ft = 27ft

Convert feet into yard: 27ft —> 9 yards

Answer: 9 yards

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How much would the sales tax be on a $66 meal?

vovangra [49]

Answer:

$71.61

Step-by-step explanation:

66/22 = 3

3 · $1.87 = $5.61

$66 + $5.61 = $71.61

$23.87 · 3 = $71.61

Sorry if this is wrong!

5 0

3 years ago

Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?

BaLLatris [955]

Answer:

$Vertex = (\frac{1}{2},\frac{7}{4})$

Step-by-step explanation:

Given

$f(x) = x^2 - x +2$

Required

The vertex

We have:

$f(x) = x^2 - x +2$

First, we express the equation as:

$f(x) = a(x - h)^2 +k$

Where

$Vertex = (h,k)$

So, we have:

$f(x) = x^2 - x +2$

--------------------------------------------

Take the coefficient of x: -1

Divide by 2: (-1/2)

Square: (-1/2)^2

Add and subtract this to the equation

--------------------------------------------

$f(x) = x^2 - x +2$

$f(x) = x^2 - x + (-\frac{1}{2})^2+2 -(-\frac{1}{2})^2$

$f(x) = x^2 - x + \frac{1}{4}+2 -\frac{1}{4}$

Expand

$f(x) = x^2 - \frac{1}{2}x- \frac{1}{2}x + \frac{1}{4}+2 -\frac{1}{4}$

Factorize

$f(x) = x(x - \frac{1}{2})- \frac{1}{2}(x - \frac{1}{2})+2 -\frac{1}{4}$

Factor out x - 1/2

$f(x) = (x - \frac{1}{2})(x - \frac{1}{2})+2 -\frac{1}{4}$

$f(x) = (x - \frac{1}{2})^2+2 -\frac{1}{4}$

$f(x) = (x - \frac{1}{2})^2+ \frac{8 -1 }{4}$

$f(x) = (x - \frac{1}{2})^2+ \frac{7}{4}$

Compare to: $f(x) = a(x - h)^2 +k$

$h = \frac{1}{2}$

$k = \frac{7}{4}$

Hence:

$Vertex = (\frac{1}{2},\frac{7}{4})$

8 0

3 years ago

Read 2 more answers

PLEASE HELPPP Which one is equivalent??

Yuliya22 [10]

Answer:

the answer is A AND WE LOVE BILLIE

Step-by-step explanation:

7 0

3 years ago

In a survey of 200 game lovers,it was found that 130 liked football, 90 liked cricket, and 20 didn't like both games.i) How many

qaws [65]

Step-by-step explanation:

Hey, there!!

Your required answer is:

i). = 40

ii). = 90

See explanation in picture..

Here, no(F) represents no. of people who just like football. and n (F intersection C) represents who like both games.

Hope it helps...

5 0

3 years ago

The table below shows all of the possible outcomes for rolling two six sided number cubes what is the probability of rolling an

Vanyuwa [196]

Answer:

The probability of rolling an even number first and an odd number second is $\frac{1}{4}$

Solution:

As two cubes are 6 sided, the total number of possibilities are $(6\times6) = 36$

Now in those possibilities the first number will be even and the second number will be odd. If we check the table, such pairs are,

(2,1), (2,3), (2,5), (4,1), (4,3), (4,5), (6,1), (6,3), (6,5)

So, we can see we have total 9 set with the combination of first number even and second number odd. So, the probability of rolling with this combination will be $\bold\frac{9}{36}=\frac{1}{4}\bold$

6 0

3 years ago