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guajiro [1.7K]
3 years ago
10

Which of these shows the result of using the first equation to substitute for y in the second equation, then combining like term

s?
y=2x
2x+3y=16

A 8x=16
B 4x=16
C 5y=16
D 5x=16
Mathematics
1 answer:
Akimi4 [234]3 years ago
4 0

Answer

b square = z square of the perimiter of the rectangular shape and f square = L square to the power of 5

Your Welcome

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Rebecca and dan are biking in a national park for three days they rode 5 3/4 hours the first day and 6 4/5 hours the second day
AfilCa [17]

Answer:

Rebecca and Dan need to ride 7\frac{9}{20}\ hrs. on the third day in order to achieve goal of biking.

Step-by-step explanation:

Given:

Goal of Total number of hours of biking in park =20 hours.

Number of hours rode on first day = 5\frac34 \ hrs.

So we will convert mixed fraction into Improper fraction.

Now we can say that;

To Convert mixed fraction into Improper fraction multiply the whole number part by the fraction's denominator and then add that to the numerator,then write the result on top of the denominator.

5\frac34 \ hrs. can be Rewritten as \frac{23}{4}\ hrs

Number of hours rode on first day = \frac{23}{4}\ hrs

Also Given:

Number of hours rode on second day = 6\frac45 \ hrs

6\frac45 \ hrs can be Rewritten as \frac{34}{5}\ hrs.

Number of hours rode on second day = \frac{34}{5}\ hrs.

We need to find Number of hours she need to ride on third day in order to achieve the goal.

Solution:

Now we can say that;

Number of hours she need to ride on third day can be calculated by subtracting Number of hours rode on first day and Number of hours rode on second day from the Goal of Total number of hours of biking in park.

framing in equation form we get;

Number of hours she need to ride on third day = 20-\frac{23}{4}-\frac{34}{5}

Now we will use LCM to make the denominators common we get;

Number of hours she need to ride on third day = \frac{20\times20}{20}-\frac{23\times5}{4\times5}-\frac{34\times4}{5\times4}= \frac{400}{20}-\frac{115}{20}-\frac{136}{20}

Now denominators are common so we will solve the numerator we get;

Number of hours she need to ride on third day =\frac{400-115-136}{20}=\frac{149}{20}\ hrs \ \ Or \ \ 7\frac{9}{20}\ hrs.

Hence Rebecca and Dan need to ride 7\frac{9}{20}\ hrs. on the third day in order to achieve goal of biking.

3 0
3 years ago
Jeremy is buying a new bicycle. For the style he likes best, the bicycle shop sells 26-inch and 29-inch frames in blue, red, and
Leno4ka [110]

Answer:

1 out of 6

Step-by-step explanation:

there are 6 different combinations

26in - blue

26in- red

26in- black

29in - blue

29in - red

29in - black

The probability then come out to 1 out of 6

8 0
3 years ago
Rhonda drove 51 miles per hour for 5 hours. She then drove 55 miles per hour for x hours. Which expression is equivalent to the
lawyer [7]

The expression equivalent to the total distance Rhonda drove is 51x = 275

Given:

Distance 1:

Number of miles = 51 miles

Number of hours = 5 hours

Distance 2:

Number of miles = 55 miles

Number of hours = x hours

<em>Ratio of miles to number of hours</em> = 51 miles : 5 hours

<em>Ratio of miles to number of hours</em> = 55 miles : x hours

Equate the ratios

51 : 5 = 55 : x

51/5 = 55/x

cross product

51 × x = 5 × 55

51x = 275

x = 275 / 51

x = 5.392156862745098

Approximately,

x = 5.4 hours

Therefore, the number of hours taken to travel 55 miles is 5.4 hours

Read more:

brainly.com/question/3796978

7 0
3 years ago
Theo earns a base salary plus commission. At the end of September, he was paid $3,835.25 based on his monthly sales of $12,850.
hodyreva [135]

Theo's base salary  using a simultaneous equation approach is $2,996.22 .

In order to determine the base salary of Theo, we can express the two earnings and sales amounts using simultaneous equation, that we would solve to arrive at the base salary

Bear in mind that total earnings are determined as base salary plus commission

Let X be the base salary

Let R be the rate of commission

commission =sales*rate of commission

When earnings were $3,835.25 and sales is $12,850, we have the below equation:

X+(12,850*R)=3,835.25

X+12850R=3,835.25  .................... equation (1)

When earnings were $3,641 and sales is $9,875, we have the below equation:

X+(9,875*R)=3641

X+9875R=3641 .........................  equation (2)

subtract equation 2 from 1

2975R=194.25

R=194.25/2975

R=commission rate=6.52941176470588%

substitute for R in equation 1 to arrive at X(base salary)

X+(12850*6.52941176470588%)=3,835.25

X=3,835.25-(12850*6.52941176470588%)

X=base salary=$2,996.22

Find further guide on simultaneous equation in the link below:

brainly.com/question/6597041

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7 0
2 years ago
Solve for s.<br> 3 = s - 2<br> s=
elena55 [62]
The answer is 5 because 5-2=3. S=5
3 0
3 years ago
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