All categories

3 years ago

Write simultaneous equations to describe the situation below, solve using substitution, and fill in the blanks.

1 answer:

3 0

Dedra:

y = 2 + 3x

Nick:

y = 6 + x

Where 'y' is the total cost, and 'x' represents the number of hours.

Solve using substitution, we can substitute 2 + 3x for 'y' in the 2nd equation.

y = 6 + x

2 + 3x = 6 + x

Subtract 2 to both sides:

3x = 4 + x

Subtract 'x' to both sides:

2x = 4

Divide 2 to both sides:

x = 2

Now we can plug this into any of the two equations to get our 'y' value.

y = 2 + 3x

y = 2 + 3(2)

y = 2 + 6

y = 8

So our full solution is (2, 8).

Which means they both bowled for 2 hours, and spent <span>€8.</span>

You might be interested in

The number of students at parkville high school is 21 less than 2 times the number of students at midtown middel school which ex

o-na [289]

The number of students is represented with S, to show 2 times that number it is shown as 2S, a less than is word problem jargon for minus. So it is 2S-21.

4 0

4 years ago

Consider that a 1/2 cup serving of 1% cottage cheese is equivalent to 125 grams. If 1 ounce of cottage cheese is equivalent to 2

VikaD [51]

Answer:

4.42 ounces.

Step-by-step explanation:

We have been given that a 1/2 cup serving of 1% cottage cheese is equivalent to 125 grams. 1 ounce of cottage cheese is equivalent to 28.35 grams. We are asked to find the ounces in 1/2 cup serving.

We will use proportions to solve our given problem.

$\frac{\text{Ounce}}{\text{Grams}}=\frac{1}{28.25}$

Upon substituting our given values, we will get:

$\frac{\text{Ounce}}{125}=\frac{1}{28.25}$

$\frac{\text{Ounce}}{125}\times 125=\frac{1}{28.25}\times 125$

$\text{Ounce}=4.42477876$

Upon rounding to nearest hundredth, we will get:

$\text{Ounce}\approx 4.42$

Therefore, 1/2 cup serving contains 4.42 ounces.

7 0

3 years ago

Jordan's website was online for a year and received 93,300 visitors. Jordan received 28,400 visitors the first month and 33,900

galben [10]

Answer:

31,000 visitors

Step-by-step explanation:

Add 28,400 and 33,900 to get 62,300 then subtract that from 93,300

8 0

4 years ago

Read 2 more answers

Use the formula C(n, x)pxqn − x to determine the probability of the given event. (Round your answer to four decimal places.) The

miskamm [114]

Answer: 0.1334

Step-by-step explanation:

Given

There are seven trails with a probability of success is $p=\frac{1}{4}$

$\therefore q=1-p\\q=1-\frac{1}{4}\\q=\frac{3}{4}$

Using the binomial distribution, the Probability of exactly no success i.e. x=0 is given by

$\Rightarrow ^7C_0\cdot p^0 \cdot q^{7-0}\\\Rightarrow 1\times(\frac{1}{4})^0 \cdot (\frac{3}{4})^7\\\Rightarrow 1\times 1 \cdot (0.75)^7\\\Rightarrow 0.1334$

7 0

3 years ago

What is 62.713 rounded to the nearest hundredth?

irina [24]

62.71 would be the answer

8 0

3 years ago