The expression 3.25b + 2h gives the cost of b burgers and h hotdogs what is the cost of 4 burgers and 6 hotdogs

One number is 2 more than 3 times another. Their sum is 22. Find the numbers. 8, 14 5, 17 2, 20 4, 18 10, 12

xxTIMURxx [149]

9514 1404 393

Answer:

(b) 5, 17

Step-by-step explanation:

You can try the answer choices easily enough.

2 +3×8 ≠ 14

2 +3×5 = 17 . . . . this choice works (5, 17)

2 +3×2 ≠ 20

2 +3×4 ≠ 18

2 +3×10 ≠ 12

__

Or, you can solve the equation:

x + (2 +3x) = 22

4x = 20 . . . . . . . . subtract 2

x = 5 . . . . . . . . . . divide by 4

The numbers are 5 and (22 -5) = 17.

5 0

2 years ago

Find the focus and directrix of the parabola with the equation x² = -22y.

Bad White [126]

9514 1404 393

Answer:

focus: (0, -5.5)

directrix: y = 5.5

Step-by-step explanation:

The equation compares to the form ...

x² = 4py

where 4p = -22 ⇒ p = -22/4 = -5.5.

The value of p is the distance from the vertex to the focus. The negative value means the focus is below the vertex at (0, -5.5).

The directrix is above the vertex by the same amount, so is y = 5.5.

6 0

3 years ago

Does anyone know the answer to this scale and unit conversion GED math problem? Thank you very much!

aliya0001 [1]

Answer:

Flour $5\dfrac{1}{2}\ c$

Sugar $2\dfrac{2}{3}\ c$

Butter $1\dfrac{1}{2}\ c$

Eggs $2$

Baking powder $7\ t$

Vanilla extract $3\ t$

Step-by-step explanation:

There will be 16 people at the party. Each person will eat 3 cookies, so all people will eat $16\cdot 3=48$ cookies.

Given cookie recipe makes 24 cookies, so to make 48 cookies you need

$48:24=2$ portions.

Thus,

1 portion 2 portions

Flour $2 \dfrac{3}{4}\ c$ $2\dfrac{3}{4}\cdot 2=2\cdot 2+\dfrac{3}{4}\cdot 2=4+\dfrac{3}{2}=4+1 \dfrac{1}{2}=5\dfrac{1}{2}\ c$

Sugar $1\dfrac{1}{3}\ c$ $1\dfrac{1}{3}\cdot 2=1\cdot 2+\dfrac{1}{3}\cdot 2=2+\dfrac{2}{3}=2\dfrac{2}{3}\ c$

Butter $\dfrac{3}{4}\ c$ $\dfrac{3}{4}\cdot 2=\dfrac{3}{2}=1\dfrac{1}{2}\ c$

Eggs $1$ $1\cdot 2=2$

Powder $3\dfrac{1}{2}\ t$ $3\dfrac{1}{2}\cdot 2=3\cdot 2+\dfrac{1}{2}\cdot 2=6+1=7\ t$

Vanilla $1\dfrac{1}{2}\ t$ $1\dfrac{1}{2}\cdot 2=1\cdot 2+\dfrac{1}{2}\cdot 2=2+1=3\ t$

8 0

3 years ago

The price for 11 ballpoint pens is $11.77. Which of the following represents the same price per pen? A. 4 pens for $4.44 B. 5 pe

Harrizon [31]

First we need to know how much each pen costs. So we take 11.77 and divide it by 11. That gives us 1.07 per pen. So answer choice A has 4 pens for 4.44, so we need to multiply 1.07 x 4. That gives you 4.28, so we know that isn't the correct answer. For option B, we need to multiply 1.07 x 5. That is 5.35, so that also can't be the answer. For C, we need to do 1.07 x 6, and that gives us 6.42. So we know the correct answer is option C.

3 0

3 years ago

Read 2 more answers

(b+3)1/2+b1/2=3<br> A. b=0 and b= 2/3<br> B. b=1/4 and b=2<br> C. b=1<br> D. b=3

yan [13]

The answer is C Kay. Got it?

4 0

3 years ago