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AURORKA [14]
3 years ago
13

A recipe calls for 1 1/2 cups of flour, 3/4 cup of white sugar, and 1/8 cup of brown sugar. (a) How many total cups of ingredien

ts are there? Show your work using a number line. (b) Which of the following mixing bowls can you use to make the recipe: 2-cup, 3-cup, or 4-cup? Justify your answers.
Mathematics
1 answer:
marin [14]3 years ago
5 0
(a) 1 1/2 cups + 3/4 cup + 1/8 cup = 1 4/8 + 6/8 + 1/8 =  2 3/8 cups
(b) 
3-cup mixing bowl because there is a total of 2 3/8 cups, which is greater than 2 but less than 3.
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Solve for X and Y: <br> Y=2+7x and -2x+6y=-28
Furkat [3]

Answer:

x=-1 and y=-5

Step-by-step explanation:

ሰላም!

Given expressions let them given as two equations

  • y=2+7x....... equation (1)
  • -2x+6y=-28..... equation (2)

Thus, substitute y=2+7x into equation (2)

- 2x + 6(2 + 7x) =  - 28 \\

simplify it

- 2x + 12 + 42x =  - 28 \\ 40x + 12 =  - 28

subtract 12 from both sides

40x + 12 - 12 =  - 28 - 12 \\ 40x =  - 40

divide both sides by 40

\frac{40x}{40}  =  \frac{ - 40}{40} \\ x =  - 1

Therefore, as we get the value of x=-1 substitute it to equation (1) and solve for variable y

y = 2 + 7x \\ y = 2 + 7( -1 ) \\ y = 2 - 7 \\ y =  - 5

To be more sure make a cross check on both of the two expressions

Thus,

1) y=2+7x .... substitute y=-5 and x=-1 and check if it is equal

-5=2+7(-1)

-5=2-5

-5=-5

2)-2x+6y=-28... substitute and check

-2(-1)+6(-5)=-28

2-30=-28... (-a)(-b)=ab

-28=-28

Hope it helps!

6 0
1 year ago
To round the number to the hundredths place, what should be done first?
Oksanka [162]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
Solve. 4x + 10= 2x – 14
hammer [34]

Answer:

x = -12

Step-by-step explanation:

Step 1: Subtract 2x from both sides

2x + 10 = -14

Step 2: Subtract 10 from both sides

2x = -24

Step 3: Divide both sides by 2

x = -12

8 0
3 years ago
Read 2 more answers
A compressed air tank carried by scuba divers has a volume of 8.00 L and a pressure of 141 atm at 22.0°C. What is the volume (in
weqwewe [10]

Answer:

Volume of air in the tank =1,044 Liter

Step-by-step explanation:

Given:

Tank volume = 8 Liter

Pressure = 141 atm

Temperature = 22°C = 273° + 20° = 295° K

Find:

Volume of air in the tank = ?

Computation:

\frac{Pressure\times Tank\ volume}{Tempreture} =\frac{Pressure\times Air\ volume}{Tempreture}\\\\\frac{141\times 8}{295} =\frac{1\times Air\ volume}{273.15}\\\\\frac{1,128}{295} =\frac{Air\ volume}{273.15}\\\\Air\ volume=1,044.45

Volume of air in the tank =1,044 Liter

8 0
3 years ago
Whatcha of the following represent the solution to the given quadratic inequality? y≤-x^2-3x+10?
iren2701 [21]

Answer:

correct do

Step-by-step explanation:

6 0
2 years ago
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