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2 years ago

There are 8.54 grams of sugar in 7 servings of strawberries. How many grams of sugar are in a single serving of strawberries?

Mathematics

1 answer:

Nimfa-mama [501]2 years ago

7 0

Answer:

1.22 grams of sugar

Step-by-step explanation:

8.54 divided by 7 is 1.22

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9/35x7/16x20/21 reduce to lowest terms. Convert the answers to mixed numbers where possible

8_murik_8 [283]

The answer is .107 by working left to right

5 0

3 years ago

Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $60 per hour. The mechan

Nady [450]

Answer:

15 and 5 hours.

Step-by-step explanation:

Call x the time taken by the first chap, and y the second.

$\left \{ {{x+y = 20 \atop {55x+60y=1125}} \right.$

Let's divide by 5 and play with the LHS of the first equation a bit:

$11x+ 11y +y = 225\\11(x+y)+y= 225$ we know how much x+y is ( first equation!) let's solve.

$11(20) +y = 225 \rightarrow y=5$ At this point it's easy to check that $x=15$

8 0

2 years ago

At midnight, the temperature was -8F. At noon, the temperature was 23F. Which expression represents the increase in temperature?

Olin [163]

Answer: 23F - (-8F)

Step-by-step explanation:
We have been given that at midnight, the temperature was . At noon, the temperature was .
Since our temperature has increased to 23 degree Fahrenheit from -8 degree Fahrenheit, we can represent this increase in temperature as:

Therefore, the expression represents the increase in temperature.

7 0

3 years ago

Select the correct answer. Simplify. (3x^2y^3/z^3)^3 A. B. C. D.

AysviL [449]

Answer:

options aren't given but the correct answer will be $\frac{27x^6y^9}{z^9}$

Step-by-step explanation:

7 0

2 years ago

Assume that the wavelengths of photosynthetically active radiations (PAR) are uniformly distributed at integer nanometers in the

Lana71 [14]

There are 26 integers in the set $\{630,631,\ldots,655\}$ . If the wavelength of light is uniformly distributed, then the probability that it has a wavelength of any one of these integers is $\dfrac1{26}$ , so the distribution of wavelengths has probability mass function

$\mathbb P(X=x)=\begin{cases}\dfrac1{26}&\text{for }630\le x\le655,x\in\mathbb Z\\\\0&\text{otherwise}\end{cases}$

The mean (expected value) is given by

$\mathbb E(X)=\displaystyle\sum_xx\mathbb P(X=x)$

and the variance by

$\mathbb V(X)=\mathbb E(X^2)-\mathbb E(X)^2$

First, the mean:

$\mathbb E(X)=\displaystyle\sum_{x=630}^{655}x\mathbb P(X=x)=\frac1{26}\sum_{x=630}^{655}x$
$\mathbb E(X)=\dfrac{16705}{26}\approx643$

(rounded up from an exact value of 642.5)

Now for the variance:

$\mathbb E(X^2)=\displaystyle\sum_xx^2\mathbb P(X=x)=\frac1{26}\sum_{x=630}^{655}x^2$
$\mathbb E(X^2)=412862.5$

Meanwhile, $\mathbb E(X)^2=642.5^2=412806$ , which gives a total variance of

$\mathbb V(X)=412862.5-412806\approx57$

(rounded up from 56.5)

3 0

2 years ago