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3 years ago

A recipe needs 3/4 cup of sugar.if the recipe is doubled how much sugar is needed

Mathematics

1 answer:

BabaBlast [244]3 years ago

7 0

Answer:

The amount of sugar needed in the doubled recipe = 1.5 cups.

Step-by-step explanation:

Here, given:

1 portion of Recipe needs 3/ 4 cup of sugar.

Now, if the portion of the recipe is doubled:

⇒ The new portion of recipe = 2 x ( The original portion)

So, the amount if sugar needed is:

The new portion of sugar needed = 2 x ( The original portion)

$= 2 \times( \frac{3}{4}) \textrm{cup}$

$= \frac{3}{2} \textrm{cup} = 1.5 \textrm{cup}$

Hence, the amount of sugar needed in the doubled recipe = 1.5 cups.

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Sasha needs to write a division expression for the fraction 9/14 . She is not sure which number goes where. Help Sasha understan

Rasek [7]

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2 years ago

Read 2 more answers

Which represent geometric sequences? Check all that apply.

Anon25 [30]

The sequence that represents a geometric sequence can be seen in the 1st option and the 4th option in the image attached.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a set of integers that follows a pattern in which the following term is determined by multiplying the previous one by a factor known as the common ratio (r).

$\mathbf{a_n = a_{n-1}\times r}$ or $\mathbf{a_n = a_{1}\times r^{n-1}}$

$\mathbf{a_2 = a_{2-1}\times r}$

$\mathbf{a_2 = a_{1}\times r}$

$\mathbf{ r= \dfrac{a_2}{a_1}}$

From the options given, the options that have geometric sequences are:

3/16, 3/8, 3/4, 3/2

r = (3/8)/(3/16) = (3/4)/(3/8) = 2 (proves that it is a geometric sequence)

3, 9, 27, 81
r = 9/3 = 27/9 = 3 (proves that it is a geometric sequence)

Learn more about geometric sequence here:

brainly.com/question/1509142

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4 0

1 year ago

4x-5y=-3

tresset_1 [31]

4x - 5y = -3 ⇒ 1st equation
2x + 3z = 4 ⇒ 2nd equation
3y - z = 8 ⇒ 3rd equation

find the value of z.

3y - z = 8
- z = 8 - 3y
z = (8 - 3y) / -1
z = -8 + 3y

Substitute z with its value in the 2nd equation:
2x + 3z = 4
2x + 3(-8 + 3y) = 4
2x - 24 + 9y = 4
2x + 9y = 4 + 24
2x + 9y = 28

find value of x
2x + 9y = 28
2x = 28 - 9y
x = (28 - 9y)/2
x = 14 - 9y/2

Substitute the value of x in 1st equation
4x - 5y = -3
4(14-9y/2) - 5y = -3
56 - 36y/2 - 5y = -3
- 36y/2 - 5y = -3 - 56
- 36y/2 - 5y = - 59
2(-36y/2 - 5y) = 2(-59)
-36y - 10y = -118
-46y = -118
-46y/-46 = -118/-46
y = 2 26/46
y = 2 13/23

x = 14 - 9y/2
x = 14 - 9 (2 13/23) /2
x = 14 - 9 (59/23) / 2
x = 14 - 531/23 / 2
x = 14 - 531/23 * 1/2
x = 14 - 531/23*2
x = 14 - 531/46
x = (14*46/46) - 531/46
x = 644/46 - 531/46
x = (644-531)/46
x = 113/46
x = 2 21/46

z = -8 + 3y
z = -8 + 3(2 13/23)
z = -8 + 3(59/23)
z = -8 + 177/23
z = (-8*23/23) + 177/23
z = -184/23 + 177/23
z = (-184 + 177)/23
z = -7/23

x = 2 21/46 ; y = 2 13/23 ; z = -7/23

4x - 5y = -3
4(113/46) - 5(59/23) = -3
452/46 - 295/23 = -3
9.826 - 12.826 = -3
-3 = -3

2x + 3z = 4
2(113/46) + 3(-7/23) = 4
226/46 - 21/23 = 4
4.913 - 0.913 = 4
4 = 4

3y - z = 8
3(59/23) - (-7/23) = 8
177/23 + 7/23 = 8
7.696 + 0.304 = 8
8 = 8

8 0

2 years ago

Find the value of x

marishachu [46]

Answer:

x = 5

Step-by-step explanation:

6 - 8x = 6x - 8x - 24

(add the x's on each side)

6 - 8x = -2x - 24

(pass -2x on the other side (adding))

6 - 6x = -24

(pass the 6 to the other side (subtracting))

- 6x = - 30

(divide by -6 on both sides)

x = 5

5 0

2 years ago

What is 24,159 -3,168 =

RideAnS [48]

Answer:

20991

Step-by-step explanation:

4 0

2 years ago