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timofeeve [1]
2 years ago
6

The recipe for Ryan birthday cake calls for 3/4 of a cup of flour and 2/4 of a cup of sugar. How many total cups of flour and su

gar does the recipe call for?
Mathematics
2 answers:
emmainna [20.7K]2 years ago
7 0
To find the total cups of flour and sugar, we add the amounts of each together.

Total cups= 3/4 + 2/4
add the numerators (top) only

= 5/4

convert from improper fraction to a mixed fraction

4 goes into 5 one time with a remainder of 1

= 1 1/4 total cups

ANSWER: The total flour and sugar is 1 1/4 cups.

Hope this helps! :)
seropon [69]2 years ago
6 0
1 and 1/4   hope it helps
-Miles               
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Leona [35]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • Solve 2m + n = 2 and 3m - 2n = 3 using substitution.

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

We can use the substitution method to solve linear equations of this form. Let's solve for m & n.

\left. \begin{array}  { l  }  { 2 m + n = 2 } \\ { 3 m - 2 n = 3 } \end{array} \right.

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

2m+n=2, \: 3m-2n=3

Choose one of the equations and solve it for m by isolating m on the left-hand side of the equal sign.

2m+n=2

Subtract n from both sides of the equation.

2m=-n+2

Divide both sides by 2.

m=\frac{1}{2}\left(-n+2\right)  \\

Multiply 1/2 times -n+2.

m=-\frac{1}{2}n+1  \\

Substitute -\frac{n}{2}+1\\ for m in the other equation, 3m-2n=3.

3\left(-\frac{1}{2}n+1\right)-2n=3  \\

Multiply 3 times -\frac{n}{2}+1\\.

-\frac{3}{2}n+3-2n=3  \\

Add -\frac{3n}{2}\\ to -2n.

-\frac{7}{2}n+3=3  \\

Subtract 3 from both sides of the equation.

-\frac{7}{2}n=0  \\

Divide both sides of the equation by -\frac{7}{2}\\, which is the same as multiplying both sides by the reciprocal of the fraction.

\large \underline{\underline{ \bf \: n=0 }}

Substitute 0 for n in m=-\frac{1}{2}n+1\\. Because the resulting equation contains only one variable, you can solve for m directly.

\large \underline{ \underline{\bf \: m=1 }}

The system is now solved.

\huge \boxed{ \boxed{ \bf \: m=1, \: n=0 }}

4 0
3 years ago
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omeli [17]

Answer:

x > 4

Step-by-step explanation:

3x - 7 > 5

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8 0
3 years ago
How do you solve this
fiasKO [112]
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The best way is to make it one fraction.
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4 0
3 years ago
A metal conduit will be used as a pathway for wiring through a concrete block. The conduit is a 5 foot long rod with an outer di
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Answer:  586.59 cubic centimeters .

Step-by-step explanation:

As per given . we have

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Outer diameter = 2 inches

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Height : h = 5 feet = 5 x(30.48) = 152.4 cm   [∵  1 foot = 30.48 cm]

The formula to find the volume of a hollow cylinder :

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Now , the volume of metal in the conduit :

V=(3.14)(( 2.54)^2-(2.286)^2)(152.4)

V=(3.14)(6.4516-5.225796)(152.4)

V=(3.14)(1.225804)(152.4)

V=586.591342944\approx586.59\ cm^3

Hence, the volume of metal in the conduit is 586.59 cubic centimeters .

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Answer:

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