All categories

2 years ago

Mary242 made for 11 hours of work.

Mathematics

1 answer:

MAVERICK [17]2 years ago

5 0

We conclude that, if working at the same rate, to make 374 units, she needs to work for 17 hours.

<h3>At the same rate, how many hours would she have to work to make 374?</h3>

We know that Mary makes 242 units of something in 11 hours of work, then her rate of work is:

R = (242 units)/(11 hours) = 22 units per hour.

Now, if she wants to make 374 units, then she needs to work for a time T, such that:

(22 units per hour)*T = 374 units.

Solving that linear equation for T, we get:

T = (374 units)/(22 units per hour) = 17 hours

We conclude that, if working at the same rate, to make 374 units, she needs to work for 17 hours.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

You might be interested in

An online test of English spelling looked at how well people spelled difficult words. The bar graph to the right shows how many

sweet-ann [11.9K]

Answer:

60 ; 5220

Step-by-step explanation:

A) From the horizontal bar chart provided, it could be inferred that 85 people spell the word 'weird' correctly. The graph is scaled on a fixed interval of 10. Hence, the midpoint of 10 = 5

(80 + 5) = 85

B) In a group consisting of 8719 randomly selected people estimate how many more people can correctly spell weird than inoculate

From the graph :

85 per 100 could spell weird correctly while,

About 25 per 100 could spell inoculate correctly.

Difference In number per 100 people

(85 - 25) = 60 people per 100

We could round 8719 to the nearest 100 = 8700

Number of 100's in 8700 = 8700/100 = 87

(87 × 60) = 5,220 people

4 0

3 years ago

Order of operations

FrozenT [24]

Answer:

Exponents first then multiplication then subtraction

7 0

3 years ago

Read 2 more answers

Find S12 for geometric series: (-7.5) + 15 + (-30) + ...

kolezko [41]

Answer:

S12 for geometric series: (-7.5) + 15 + (-30) + ... would be: 10237.5

Step-by-step explanation:

Given the sequence to find the sum up-to 12 terms

$(-7.5) + 15 + (-30) + ...$

As we know that

A geometric sequence has a constant ratio 'r' and is defined by

$a_n=a_1\cdot r^{n-1}$

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}$

$\frac{15}{\left(-7.5\right)}=-2,\:\quad \frac{\left(-30\right)}{15}=-2$

$\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$r=-2$

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$a_1=\left(-7.5\right)$

$a_n=a_1\cdot r^{n-1}$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$a_n=\left(-7.5\right)\left(-2\right)^{n-1}$

$a_n=-\left(-2\right)^{n-1}\cdot \:7.5$

$\mathrm{Geometric\:sequence\:sum\:formula:}$

$a_1\frac{1-r^n}{1-r}$

$\mathrm{Plug\:in\:the\:values:}$

$n=12,\:\spacea_1=\left(-7.5\right),\:\spacer=-2$

$=\left(-7.5\right)\frac{1-\left(-2\right)^{12}}{1-\left(-2\right)}$

$=-7.5\cdot \frac{1-\left(-2\right)^{12}}{1+2}$

$\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}$

$=-\frac{-30712.5}{1+2}$ ∵ $\left(1-\left(-2\right)^{12}\right)\cdot \:7.5=-30712.5$

$=-\frac{-30712.5}{3}$

$=\frac{30712.5}{3}$

$=10237.5$

Thus, S12 for geometric series: (-7.5) + 15 + (-30) + ... would be: 10237.5

5 0

4 years ago

Solve the equation using zero-product property

dusya [7]

X=2 or -7(answer choice A)

7 0

3 years ago

Read 2 more answers

The same seven pieces shown on the top were used to make two different figures as shown (the prices do not overlap anywhere) whi

sertanlavr [38]

These are called tangrams.

You didn’t show the options but at a guess the two shapes have the same area.

6 0

3 years ago