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Stolb23 [73]
3 years ago
10

Henry is making a recipe for biscuits.A recipe calls for 5/10 kilogram flour and 9/10 kilogram sugar.If henry measures correctly

and combines the two amounts,how much flour and sugar will he have. Show your work
Mathematics
1 answer:
mote1985 [20]3 years ago
8 0

Answer: \dfrac{14}{10}\ kg

Step-by-step explanation:

Given

Henry has \frac{5}{10}\ kg of flour and \frac{9}{10}\ kg of sugar

If henry added the two amounts, the net weight of the two is

\Rightarrow W_{net}=\dfrac{5}{10}+\dfrac{9}{10}\\\\\Rightarrow W_{net}=\dfrac{5+9}{10}=\dfrac{14}{10}\ kg\ \text{or}\ \dfrac{7}{5}\ kg

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kirill115 [55]

Answer:

See Below

Step-by-step explanation

1) subtract 4 from both sides

You have the answer

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3 years ago
at 1:30 in the afternoon an old freight train and a new dart express train pull out of the new garland station going in opposite
zalisa [80]

Answer:

V_{E} = -22.5 / 15 = 1.5 miles/minute\\V_{F} = 7.5 / 15 = 0.5 miles/minute

Step-by-step explanation:

To answer this problem, we must bear in mind that the express train travels 3 times faster than the freight train.

If we call F the distance that the freight train travels and we call E at the distance that the express train travels, we must have the distance between them after 15 minutes it must be 30 miles.

So

F + E = 30\\

We also know that:

E = 3F

Since the express train travels 3 times faster than the freight train.

So, like both equations, we have to:

F + 3F = 30\\F = 30/4\\F = 7.5 miles\\

Then E = 7.5*3 = 22.5 miles in the opposite direction.

This is the distance you traveled in 15 minutes.

Therefore, the speed of the express train (V_{E}) is the distance traveled between the time it did

V_{E} = -22.5 / 15 = 1.5 miles/minute\\V_{F} = 7.5 / 15 = 0.5 miles/minute

3 0
3 years ago
Really need help quickly
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Step-by-step explanation:

4 0
3 years ago
Suppose that y varies directly with x and y=10 when x=20. What is y when x=15
Likurg_2 [28]

Answer:

y=kx

subst y=10 and x=20 into the above

<em>1</em><em>0</em><em>=</em><em>k20</em>

<em>k</em><em>=</em><em>1</em><em>0</em><em>/</em><em>2</em><em>0</em>

<em>k</em><em>=</em><em>1</em><em>/</em><em>2</em>

<em>therefore</em><em> </em><em>relationship</em><em>:</em><em> </em><em>y</em><em>=</em><em>1</em><em>/</em><em>2</em><em>x</em>

<em>subst</em><em> </em><em>x</em><em>=</em><em>1</em><em>5</em><em> </em><em>into</em><em> </em><em>the</em><em> </em><em>relationship</em>

<em> </em><em>y</em><em>=</em><em>1</em><em>/</em><em>2</em><em>(</em><em>1</em><em>5</em><em>)</em>

<em>y</em><em>=</em><em>7</em><em>,</em><em>5</em>

Step by step explanation:

  • Step 1: when they say y varies directly with x they mean<em> y is proportional to x</em>
  • step 2: so y=kx where <em>k is the constant</em>
  • step 3: is to substitute <em>y=10</em> and <em>x=20</em> into the above equation y=kx
  • step 4: you will end up with <em>10=k20</em> then divide both sides by 20 so that <em>k becomes the subject of the formula </em>
  • step 5: your answer from the above will be <em>k=10/20 </em>so the relationship is <em>y is directly proportional to 1/2 x </em>what you did here is that you substituted k for 1/2 in the equation in step 3
  • step 6: is to finally substitute x=15 into the equation <em>y=1/2x</em> to finally get your answer <em>y</em><em>=</em><em>7</em><em>,</em><em>5</em><em>.</em>
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3 years ago
An=−2+32(n−1)<br><br> What is the 21st term of the sequence?
OLEGan [10]

Answer:

a₂₁ = 638

Step-by-step explanation:

substitute n = 21 into the explicit formula

a₂₁ = - 2 + 32(21 - 1) = - 2 + 32(20) = - 2 + 640 = 638

5 0
2 years ago
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