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Phoenix [80]
3 years ago
12

A desert has both fruit and yoghurt inside.Altogether the mass of the fruit and yoghurt is 175g. The ratio of the mass of fruit

to the mass of yoghurt is 2 : 5

Mathematics
1 answer:
Dafna11 [192]3 years ago
8 0

Answer:

125g

Step-by-step explanation:

You can find the mass of the yoghurt by dividing the mass of the fruit and the yoghurt by the sum of the ratio,(2+5), then multiplying that value by 5.

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A customer bought 7.5 pounds of apples from a local produce market. How many ounces of apples did the customer buy?
jeka94
Now if we have 7.5 pounds of apples first we need to convert 1 pound into ounces.

1 pound = 16 ounces.

Now we know how many ounces are in one pound. So lets take the 16 ounces for 1 pound and multiply by the 7 full pounds of apples. This excluding the 1/2 pound of apples.

7 x 16 = 112
(7 being the weight in pounds of the apples, 16 being 16 ounces in one pound, and 112 is how any ounces are in 7 pounds of apples.)

So now we have the amount of ounces in 7 pounds of apples.
But we are not done. We still have the 1/2 pound of apples. So we take 16 being 1 pound of apples and divide it by 2. 

16 divided by 2 = 8

That 1/2 pound of apples = 8 ounces.

So now we have our 7 pounds of apples in ounces (112) and our 1/2 pound of apples in ounces (8)

So we add these back up in ounces

112 + 8 = 120.

So now we can conclude:

7.5 pounds of apples is 120 ounces

Hope this helps!
Brainliest is always appreciated if you feel its deserved! :)
4 0
3 years ago
The Pool Fun Company has learned that, by pricing a newly released Fun Noodle at $3, sales will reach 6000 Fun Noodles per day d
Salsk061 [2.6K]
PART A:
 The generic equation of the line is:
 y-yo = m (x-xo)
 First we look for the slope of the line:
 m = (y2-y1) / (x2-x1)
 m = ((5000) - (6000)) / (4-3)
 m = -1000
 Then, we substitute any point in the generic equation:
 (xo, yo) = (4, 5000)
 Substituting:
 y-5000 = (- 1000) (x-4)
 Rewriting:
 y = -1000x + 4000 + 5000
 y = -1000x + 9000
 The equation is:
 y = -1000x + 9000

 PART B: 
 For the price of 3.50 we have:
 y = -1000 * (3.5) +9000
 y = 5500
6 0
2 years ago
Please help would be appreciated
yKpoI14uk [10]

Answer:

The total volume of the whole figure is 576m³.

Step-by-step explanation:

First find the volume for the first figure.

Volume of a Rectangular Prism (formula): L•W•H

V = (15m)(12m)(2m)

V = 360m³

Now, find the volume for the second figure.

V = (6m)(12m)(3m)

V = 216m³

Finally, just add both volumes to find the total volume of the entire figure.

Vt = 216m³ + 360m³

Vt = 576m³

5 0
2 years ago
+{-x2y+[-(x2y-2xy2+y2)+(-xy2-3y2+x2y)]-(10y2-x2y)}
Kay [80]

Answer:

3xy² -  14y²      

Step-by-step explanation:

I hope that this is the problem

   - x²y + [ - (x²y - 2xy² + y²) + (xy² - 3y² + x²y)] - (10y² - x²y)

= - x²y + [ - x²y + 2xy² - y² + xy² - 3y² + x²y] - 10y² + x²y

Now combine like terms in the [  ].

= - x²y  + [ -x²y + x²y + 2xy² + xy² - y² - 3y² ] - 10y² + x²y

= - x²y  + [ 0 + 3xy² - 4y²] - 10y² + x²y

= - x²y + 3xy² - 4y² -10y² + x²y                      Now combine like terms

=   (-x²y + x²y) + 3xy² + (-4y² - 10y²)

=       0 + 3xy² - 14y²

=  3xy² -  14y²       or    y²(3x - 14)

6 0
2 years ago
Scores on an exam follow an approximately Normal distribution with a mean of 76.4 and a standard deviation of 6.1 points. What p
klasskru [66]

Answer:

99.89% of students scored below 95 points.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 76.4, \sigma = 6.1

What percent of students scored below 95 points?

This is the pvalue of Z when X = 95. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{95 - 76.4}{6.1}

Z = 3.05

Z = 3.05 has a pvalue of 0.9989.

99.89% of students scored below 95 points.

5 0
3 years ago
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