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3 years ago

This recipe makes 30 shortbread fingers.

Mathematics

1 answer:

siniylev [52]3 years ago

8 0

Answer:

24 g butter

12 g sugar

36 g flour

Step-by-step explanation:

The recipe makes 30 shortbread fingers.

She wants to make 6 fingers.

6/30 = 1/5

She wants to make 1/5 of the recipe, so she needs 1/5 of each ingredient's amount.

Divide each amount by 5.

Recipe:

Makes 30 30/5 = 6 Makes 6

120 g butter 120/5 = 24 24 g butter

60 g sugar 60/5 = 12 12 g sugar

180 g flour 180/5 = 36 36 g flour

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39. Solve this system: 3x+y=-7 . 4x-y=14A. (–1, 10)B. (1, –10)C. (–1, –10)D. no solution

valkas [14]

Given,

The linear pair of the equation is,

$\begin{gathered} 3x+y=-7 \\ 4x-y=14 \end{gathered}$

Required

The solution of the linear equation.

Taking the equation first as,

$\begin{gathered} 3x+y=-7 \\ y=-7-3x \end{gathered}$

Substituting the value of y in second equation then,

$\begin{gathered} 4x-y=14 \\ 4x+7+3x=14 \\ 7x+7=14 \\ 7x=7 \\ x=1 \end{gathered}$

Substituting the value of x in first equation then,

$\begin{gathered} 3x+y=-7 \\ 3(1)+y=-7 \\ y=-7-3 \\ y=-10 \end{gathered}$

Hence, the solution of the system is (1, -10).

8 0

1 year ago

Evaluate 1/4 c + 3d when c = 6 and d = 7

Naddika [18.5K]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

Evaluate 1/4c+3d when c=6, and d=7.

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

Replace c with 6, and d with 7:-

$\Large\text{$\displaystyle\frac{1}{4} (6)+3(7)$}$

$\bigstar$ On simplification,

$\Large\text{$\displaystyle\frac{1}{4} \times\frac{6}{1}+21$}$

$\bigstar$ On further simplification,

$\Large\text{$\displaystyle\frac{6}{4} +21$}$

$\bigstar$ On further simplification,

$\Large\text{$\displaystyle\frac{6}{4}+\frac{84}{4}$}$

$\bigstar$ Adding the numerators,

$\Large\text{$\displaystyle\frac{90}{4}$}$

$\bigstar$ Finally, Reducing the fraction:-

$\Large\text{$\displaystyle\frac{45}{2}$}$

$\Uparrow$ $\mathbb{OUR\:SIMPLIFIED\:EXPRESSION}$

<h3>Good luck with your studies.</h3>

$\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}$

8 0

2 years ago

Read 2 more answers

3x+y=8 I really don't understand this and I have tried to get the answer but always end up wrong.

Alecsey [184]

Answer:

The solution of the system of the equation is (2, 2)

Step-by-step explanation:

Let us solve the system of equations

∵ 3x + y = 8 ⇒ (1)

∵ 3x - y = 4 ⇒ (2)

→ Add equations (1) and (2) to eliminate y

∴ (3x + 3x) + (y + -y) = (8 + 4)

∴ 6x + 0 = 12

∴ 6x = 12

→ Divide both sides by 6 to find x

∵ $\frac{6x}{6}=\frac{12}{6}$

∴ x = 2

→ Substitute the value of x in equation (1) to find y

∵ 3(2) + y = 8

∴ 6 + y = 8

→ Subtract 6 from both sides

∵ 6 - 6 + y = 8 - 6

∴ y = 2

∴ The solution of the system of the equation is (2, 2)

7 0

3 years ago

The question is asking me choose all of the numbers that are unit fractions, and here are my options, 14 <16 14 <16 510&lt

____ [38]

Answer:

$(d)$ $\frac{4}{8}>\frac{2}{6}$

Step-by-step explanation:

Given

$\frac{1}{4}$

$\frac{5}{10}$

$\frac{1}{2}>\frac{1}{3}$

$\frac{4}{8}>\frac{2}{6}$

$\frac{3}{5}>\frac{4}{5}$

Required

Select the unit fractions

If we are to go by what a unit fraction means: it means that the numerator of the fraction must be 1 and must be written as a single fraction i.e. $\frac{1}{2}$  and not as an inequality i.e.  $\frac{3}{5}>\frac{4}{5}$ 

Given the format of the question, what is required of the question is to select all correct inequality.

$(a)$ $\frac{1}{4}$

Convert to decimals

$0.25 < 0.167$ ---- This is not true because $0.25 > 0.167$

$(b)$ $\frac{5}{10}$

Convert to decimals

$0.5 < 0.5$ ---- This is not true because $0.5 = 0.5$

$(c)$ $\frac{1}{2}>\frac{1}{3}$

Convert to decimals

$0.5 > 0.33$ ---- This is true

$(d)$ $\frac{4}{8}>\frac{2}{6}$

Convert to decimals

$0.5 > 0.33$ ---- This is true

$(e)$ $\frac{3}{5}>\frac{4}{5}$

$0.6 > 0.8$ --- This is not true because $0.6 < 0.8$

So: the true inequality is:

$(d)$ $\frac{4}{8}>\frac{2}{6}$

6 0

3 years ago

63% of 300 is what number

PolarNik [594]

Answer:

189

Step-by-step explanation:

You take 63% make it a decimal by dividing it by 100 and then you multiply it with 300. 300*.63=189.

6 0

3 years ago

Read 2 more answers