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3 years ago

Help!! I’ll give brainlist !

Mathematics

1 answer:

iren [92.7K]3 years ago

4 0

Divide each one out to see which is cheaper. 4.39/12 = .37 cents per pint while 2.89/8 = .36 cents per pint. These are cost per unit problems.The second choice is the cheaper of 2 by a cent.

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Rachel's chocolate bar is 43% cocoa. If the weight of the chocolate bar is 68 grams, how many grams of cocoa does it contain? Ro

Yanka [14]

Answer:

29.24 grams

Step-by-step explanation:

It is given that,

Rachel's chocolate bar is 43% cocoa

The weight of the chocolate bar is 68 grams

We need to find how many grams of cocoa does it contain. It means it will contain 43% of 68 grams. It can be solved as follows :

$C=\dfrac{43}{100}\times 68\\\\C=29.24\ \text{grams}$

Hence, it will have 29.24 grams of cocoa.

7 0

3 years ago

Learning Task 3

ASHA 777 [7]

Answer:

1. The sides are: 38.5, 39.5, 40.5 and 41.5

2. Presently, Inzo is 15 years old and Miz is 10 years old

3. $Distance = 3682km$

4. Possible pairs are: (12, 14), (16, 18) and (20, 24)

5. $L < 38m$

Step-by-step explanation:

The question has lots of missing details. See the comment section for complete question

Solving (a):

Given

Shape: Quadrilateral

Sides: Consecutive

$Perimeter = 160$

Let one of the sides be x. The other sides will be x + 1, x + 2 and x + 3.

So, the perimeter is:

$Perimeter = x + x + 1 + x + 2 + x + 3$

This gives:

$160 = x + x + 1 + x + 2 + x + 3$

Collect Like Terms

$160 -1-2-3= x+x+x+x$

$154= 4x$

Divide both sides by 4

$38.5 = x$

$x =38.5$

So, the sides are: 38.5, 39.5, 40.5 and 41.5

Solving (b):

Given

Presently: $Inzo = 10 + Miz$

Five years ago: $Miz - 5= \frac{1}{3} * (Inzo-5)$ --- (Missing from the question)

Required: Determine their present ages

Substitute $10 + Miz$ for Inzo in the second equation

$Miz - 5 = \frac{1}{3} * (10 + Miz - 5)$

$Miz - 5 = \frac{1}{3} * (Miz + 5)$

Multiply both sides by 3

$3Miz - 15 = Miz + 5$

Collect Like Terms

$3Miz -Miz = 15 + 5$

$2Miz= 20$

Divide both sides by 2

$Miz = 10$

Substitute 10 for Miz in $Inzo = 10 + Miz$

$Inzo = 10 + 5$

$Inzo = 15$

So presently, Inzo is 15 years old and Miz is 10 years old

Solving (3):

Given

Express Train:

$Speed = 100kph$

$Time = t$

Local Train:

$Speed = 45kph$

$Time = t + 45$

Required: Determine the distance between A and B

Distance is calculated as:

$Distance = Speed * Time$

For the express train:

$Distance = 100 * t$

For the local train

$Distance = 45 * (45 + t)$

Distance between both stations are equal; So,

$100 * t = 45 * (45 + t)$

$100 t = 2025 + 45t$

Collect Like Terms

$100 t -45t= 2025$

$55t= 2025$

Divide by 55

$t = 36.82$

Substitute 36.82 for t in $Distance = 100 * t$

$Distance = 100 * 36.82$

$Distance = 3682km$

Solving (4):

Let the even numbers be: n and n + 2.

Sum greater than 24: $n + n + 2 > 24$

Sum less than 60: $n + n + 2 < 60$

So, we have:

$n + n + 2 > 24$

$2n + 2 > 24$

Collect Like Terms

$2n > 24-2$

$2n > 22$

$n > 11$

$n + n + 2 < 60$

$2n + 2< 60$

Collect Like Terms

$2n < 60-2$

$2n < 58$

Divide by 2

$n$

So, we have:

$n > 11$ and $n < 29$

So, possible pairs are: (12, 14), (16, 18) and (20, 24)

Solving (5):

Given

$Perimeter < 152m$

Required: Find the possible lengths

Let the length be L.

Perimeter is calculated as:

$Perimeter =4 * L$

$Perimeter =4 L$

So, we have:

$4L < 152m$

Divide through by 4

$L < 38m$

Hence, length is less than 38m (e.g. 37m)

5 0

2 years ago

Please help need an answer by today

love history [14]

We don't know what the question is.

It could be "What is the selling price ?"
If that's the question, then . . .

Since the store marks up their cost by 60% before they sell
the thing, the price they sell it for is

(1.60 of their cost).

You know their cost. The selling price is (1.60 x $80) .

8 0

3 years ago

Find the solutions to 9x^2-54x=0

astra-53 [7]

Answer:

x₁ = 0

x₂ = 6

Step-by-step explanation:

9x² - 54x = 0

9x(x - 6) = 0

x(x - 6) = 0

x = 0

x - 6 = 0 → x = 6

Hope this helps! :)

7 0

3 years ago

Read 2 more answers

Martha has $180. She needs a total of $2,000 to start investing in stocks. She earns $60 per day working, of which she saves $50

DIA [1.3K]

So she earns $60 per day working, but only saves $50. To solve this equation you have to multiply $50 to each day she works. If the total has to be exactly $2,000 then you must multiply 50 x 36.4 and that equals $2,000.
Your answer should be 36.4 days.

4 0

4 years ago