Need help will give brainliest for quick answer!

Can someone help me with this problem I really don’t know how to work it out and I’m getting frustrated please help..

11Alexandr11 [23.1K]

Answer:

1 cake and 6 pies

Step-by-step explanation:

Let c represent the number of cakes Alice and George can make. Likewise, let p represent the number of pies.

Then the amount of flour they need (in cups) is ...

3c + 2p . . . . cups of flour needed

And the amount of sugar needed is ...

2c + 1.5p . . . cups of sugar needed

__

They want to use all 15 cups of flour they have, and all 11 cups of sugar, so the amounts above need to match the amounts on hand:

3c + 2p = 15

2c + 1.5p = 11

We can solve these equations various ways. One of my favorite is to use a graphing calculator. (See attached) It tells us that Alice and George can make 1 cake and 6 pies with the flour and sugar they have.

_____

If you want to solve these equations algebraically, there are several methods for that, too. Here, we can multiply the first one by 2/3 and subtract the result from the second one:

(2c +1.5p) -(2/3)(3c +2p) = (11) -(2/3)(15)

2c +3/2p -2c -4/3p = 11 -10 . . . . . eliminate parentheses

1/6p = 1 . . . . . . . . . . . . . . . . . . . . . .collect terms

p = 6 . . . . . . . . . . . . . . . . . . . . . . . . multiply by 6

Substituting into the first equation gives ...

3c +2·6 = 15 . . . substitute 6 for p

3c = 3 . . . . . . . . subtract 12

c = 1 . . . . . . . . . . divide by 3

These values tell us Alice and George can make 1 cake and 6 pies with the flour and sugar they have.

7 0

3 years ago

Match the name of the sampling method descriptions given.

Sladkaya [172]

A. simple random
b. systematic
c. cluster
d. stratified
e.convenience

6 0

4 years ago

Find the value of b. Round your answer to the nearest tenth.

marissa [1.9K]

Answer:

Side CA = 7.8

Step-by-step explanation:

Given:

Acute angled $\triangle ABC$ .

$\angle B =40^\circ$

AB = 10

BC = 12

We can use cosine rule here to find the side AC = b

Formula for cosine rule:

$cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}$

Where

a is the side opposite to $\angle A$

b is the side opposite to $\angle B$

c is the side opposite to $\angle C$

$cos 40 = \dfrac{12^{2}+10^{2}-b^{2}}{2\times 12\times 10}\\\Rightarrow cos 40 = \dfrac{144+100-b^{2}}{240}\\\Rightarrow 0.77 = \dfrac{244-b^{2}}{240}\\\Rightarrow 244-b^{2} = 0.77 \times 240\\\Rightarrow 244-b^{2} = 183.85\\\Rightarrow 244-183.85 = b^{2}\\\Rightarrow b^2 = 60.15\\\Rightarrow b = 7.76$

To the nearest tenth b = 7.8

8 0

3 years ago

WILL GIVE BRAINLIEST AND 25 POINTS! Which of the following statements are true? Check all that apply. A. If any row of a square

sertanlavr [38]

Answer:

Option A, B and E

Step-by-step explanation:

Determinant = ad-bc

Let's look at the picture and solve all

Option A)

If the row ( c and d ) is zero, the determinant will be zero

=> a(0)-b(0)

=> 0-0

=> 0 (So, True)

Option B)

If a = b = c = d (Let's say 1), the determinant will be

=> (1)(1)-(1)(1)

=> 1-1

=> 0 (So, True)

Option C)

An Identity matrix is

=> $\left[\begin{array}{ccc}1&0\\0&1\end{array}\right]$

So , it's determinant will be

=> (1)(1)-(0)(0)

=> 1-0

=> 1 (So, False)

Option D)

The determinant with matrix will all positive numbers can be negative as well as positive. This is not necessary that it would be positive. (So, False)

Option E)

A zero matrix is

=> $\left[\begin{array}{ccc}0&0\\0&0\end{array}\right]$

So, it's determinant is:

=> (0)(0)-(0)(0)

=> 0-0

=> 0 (So,True)

5 0

3 years ago

Marking City is 5 inches away from Jamming City on the map. What is the

Anarel [89]

Answer:

87.5 miles

Step-by-step explanation:

If 2 inches is 35 miles then 4 inches will be 70 inches

to get the last inch all you have to do is divide the 35 in have to get 17.5

70 + 17.5 = 87.5

3 0

3 years ago