A rectangular prism has dimensions of 4 cm by 3 cm by 2 cm.

Steve needs to take at least 24 milligrams of calcium, 15 milligrams of iron, and 16 milligrams of vitamins. Which ordered pairs

Julli [10]

The complete question in the attached figure

we have that
x----------------> represents the number of spoonfuls of brand A
y----------------> represents the number of spoonfuls of brand B
Brand A---------------- > Calcium. Iron Vitamins ------ > 5 4 7 milligrams
Brand B---------------- > Calcium. Iron Vitamins ------ > 4 6 4 milligrams

Steve needs to take at least
Calcium milligrams >=24
Iron milligrams >=15
Vitamins milligrams >=16

I proceed to calculate the system inequalities

for Calcium
5x+4y>=24

for iron
4x+6y>=15

for Vitamins
7x+4y>=16

using a graph tool to solve the system of inequalities
see the attached figure

the answer is the point (1,5) and the point (4,1) are solution

5 0

3 years ago

two friends went to a restaurant and ordered one plain pizza and two sodas. their bill totaled $15.95. later that day, five frie

oksano4ka [1.4K]

X= cost per pizza
y= cost per soda

1ST VISIT TO RESTAURANT
x + 2y= $15.95

2ND VISIT TO RESTAURANT
3x + 5y= $45.90

STEP 1
multiply equation from 1st visit by -3. Will be able to solve by elimination method in step 2.

-3(x + 2y)= -3(15.95)
multiply -3 by each term

(-3 * x) + (-3 * 2y)= (-3 * 15.95)

-3x - 6y= -47.85

STEP 2
add 2nd visit equation to new 1st
visit equation in step 1.

3x + 5y= 45.90
-3x - 6y= -47.85
x term will cancel out; solve for y

-y= -1.95
divide both sides by -1

y= $1.95 per soda

STEP 3
substitute y value in either original equation to solve for x

x + 2y= $15.95

x + (2 * 1.95)= 15.95
multiple in parentheses

x + 3.90= 15.95
subtract 3.90 from both sides

x= $12.05 per pizza

CHECK
3x + 5y= $45.90
3(12.05) + 5(1.95)= 45.90
36.15 + 9.75= 45.90
45.90= 45.90

ANSWER: Each pizza costs $12.05 and each soda costs $1.95.

Hope this helps! :)

4 0

3 years ago

PLEASE ANSWER AND EXPLAIN I’LL MARK BRAINLIEST

ale4655 [162]

Answer/Step-by-step explanation:

a. x(x - 3) + 2(x - 3)

x*x + x*-3 + 2x + 2*-3 (distributive property)

x² - 3x + 2x - 6

Add like terms

x² - x - 6

b. 2x(x - 4) -3(x - 4)

2x*x + 2x*-4 -3*x -3*-4 (distributive property)

2x² - 8x - 3x + 12

Add like terms

2x² - 11x + 12

c. x(x - 2) + 2(x - 2)

x*x + x*-2 + 2*x + 2*-2 (distributive property)

x² - 2x + 2x - 4

Add like terms

x² - 0 - 4

x² - 4

3 0

3 years ago

phillip bought 12 used cds and dvds.cds cost $2 each,and dvds cost $3 each.he spent $31,not including tax.how many dvds did phil

inessss [21]

Let c and d be the number of cds and dvds respectively.

c+d=12

c=12-d

The we are told that:

2c+3d=31, using c found above in this equation gives you:

2(12-d)+3d=31

24-2d+3d=31

24+d=31

d=7

So Phillip bought 7 dvds.

check...

3*7+2(12-7)=31

21+2(5)=31

21+10=31

31=31

8 0

3 years ago

Which one is correct?

kupik [55]

Answer:

A

Step-by-step explanation:

Subtract 1 from both sides and divide by 2. This will leave you with x=-2 which is the simplified form of the equation.

5 0

3 years ago