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Julli [10]
3 years ago
10

Shawna is making smoothies. The recipe calls for two parts yogurt to three parts blueberry. Shawna wants to make 10 cups of smoo

thie. Mix how many cups of yogurt and blueberries does Shawna need
Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0

Answer:

Shawna needs a mix of 4 cups of yoghurt and 6 cups of blueberries

Step-by-step explanation:

Here, we want to know the number of cups of yoghurt and smoothies Shawna needs to make;

We have 2 parts yoghurt and 3 parts blueberry, so we can say we have a ratio of 2:3

The total number of cups to be made is 10

So the number of cups of yoghurt will be;

2/(2+3) * 10

= 2/5 * 10 = 4 cups

The number of cups of blueberry would be;

3/5 * 10 = 6 cups

So a mix of 4 cups of yoghurt and 6 cups of blueberries is needed by Shawna

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Find the value for β that makes cosβ = sin15 true.
Gemiola [76]

Answer:

Step-by-step explanation:

This is an equation for which you need to solve for the value of the missing angle beta.

cos\beta =sin(15)

sin(15) has a decimal answer that you will find on your calculator.  Finding that value makes this equation then

cosβ = .2588190451

Now use the 2nd button and then the cos button to find the angle that has a cos of that decimal.  When you hit 2nd then cos, you should see this on your screen:

cos⁻¹ (

After that open parenthesis, enter you decimal then hit the enter button to find the angle.  You should get 75, which is Choice B.

8 0
3 years ago
2/3x - 1/2y = 3
nevsk [136]
2/3x - 1/2y = 3    |multiply both sides by 6

4x - 3y = 18

1/2x + y = 5    |multiply both sides by 2

x + 2y = 10

Answer: 4x - 3y and x + 2y = 10.
7 0
3 years ago
5. During the election for class president,
Alex Ar [27]

60 more students voted for Kevin

Step-by-step explanation:

Given

total students = 300

Voted for Jennifer = 40%

Voted for Kevin = 60%

We will find number of students for one of them and then will subtract from total to find the others.

So,

Students who voted for Jennifer:

= 40\%\ of\ 300\\=0.40*300\\=120\ students

Students who voted for Kevin

==Total\ students-Students\ who\ voted\ for\ Jennifer\\=300-120\\=180\ students

In order to calculate that how many more students voted for Kevin :

180-120 = 60

Hence,

60 more students voted for Kevin

Keywords: Percentage

Learn more about percentage at:

  • brainly.com/question/11007026
  • brainly.com/question/11207748

#LearnwithBrainly

4 0
3 years ago
We’ve shown that matrix multiplication is generally not commutative, meaning that as a general rule for two
ValentinkaMS [17]

Answer:

a) Observe that

G=\left[\begin{array}{ccc}2&6\\4&0\end{array}\right] =2\left[\begin{array}{ccc}1&3\\2&0\end{array}\right] =2F

Then, FG=F(2F)=2FF, \text{ and } GF=(2F)F=2FF

b) The zero matrix satisfies that for every matrix B such that the product is well defined, 0B=0=B0.

Since the matrix G is the zero matrix then FG=F0=0F=GF

c) The identity(Id) matrix satisfies that for  that for every matrix B such that the product is well defined Id*B=B=B*Id. Observe that G is the identity matrix, then FG=F*Id=F=Id*F=GF

d) Observe that

G=\left[\begin{array}{ccc}3&0&0\\0&3&0\\0&0&3\end{array}\right] =3\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] =3Id.

Then GF=3Id*F=3F\\FG=F(3Id)=3F*Id=3F

6 0
3 years ago
Find the factors of f(x), given that x = −2 is a zero. HELP PLEASE!!
seropon [69]

Answer:

First Option is correct.

(x+2)(x+3)(x-4)

Step-by-step explanation:

Given:

The given factor is.

f(x)=x^{3}+x^{2}-14x-24

We need to find the factors of given factor.

Solution:

f(x)=x^{3}+x^{2}-14x-24

Substitute (-4x-10x) in the place of -14x

f(x)=x^{3}+x^{2}-4x-10x-24

Rearrange the equation:

f(x)=(x^{3}-4x)+(x^{2}-10x-24)

Now we factorised the above equation.

The factors of x^{2} -10x-24=(x+2)(x-12)

Now we substitute (x+2)(x-12) in the place of x^{2} -10x-24

And in the place of x^{3}-4x=x(x^{2}-4)

f(x)=x(x^{2}-4)+(x+2)(x-12)

Simplify x^{2} -4=x^{2} -(2)^{2} = (x+2)(x-2)

f(x)=x[(x+2)(x-2)]+(x+2)(x-12)

Common factor for above function (x+2)

f(x)=(x+2)[x(x-2)+(x-12)]

Simplify.

f(x)=(x+2)[x^{2}-2x+x-12]

f(x)=(x+2)(x^{2}-x-12)

The factor of x^{2}-x-12=x^{2}-4x+3x-12=x(x-4)+3(x-4)=(x-4)(x+3)

So the factors of the function.

f(x)=(x+2)(x-4)(x+3)

Therefore, the factors of the given function are (x+2)(x-4)(x+3)

4 0
3 years ago
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