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OLEGan [10]
3 years ago
9

Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the $63fare among the x of the

m. Angela also paid a $8tip. How much did Angela pay in total? Write your answer as an expression
Mathematics
1 answer:
Tresset [83]3 years ago
3 0

1.if tip included in fare, total amount paid by Angela =(55$/x) +8$

if tip is not included in fare than total amount paid by angela = (63$/x)+8$

Explanation :-

According to qus

Total friends included Angela = x

Total fare paid by them =63$

If tip included in total fare, than total fare without tip=63-8

= 55$

Sothat,

amont paid by individual =total fare /total friends. 55$/x

If tip not include in total fare than total amount paid by individual =63$/x

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Step-by-step explanation:

  1. find the area of the base (square)=900 sq. cm
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3. The positive root of 154 is located between which two consecutive integer values?
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between 12 and 13

Step-by-step explanation:

answer is 12.4

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Please choose any two and help me answer i will be very grateful and will mark you brainliest
ehidna [41]

Answer:

18 and 20, 4

Step-by-step explanation:

Math reasoning 1:

Set the first number as x and the other one as x+2 because it is a consecutive even number.

x+x+2=38

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18+2=20

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Problem solving 1:

Write out equation first, set the unknown number as x

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←<br><br> How many solutions does this linear system have<br> y =<br> x+2<br> 6x - 4y = -10
defon

Answer:

This linear system has one solution.

Step-by-step explanation:

First equation: y = x + 2

Second equation: 6x - 4y = -10

Let's change the second equation in slope-intercept form y = mx + b.

<u>Slope-intercept form</u>

y = mx + b

m ... slope

b ... y-intercept

6x - 4y = -10

6x + 10 = 4y

\frac{6}{4}x + \frac{10}{4} = y

\frac{3}{2}x + \frac{5}{2} = y

If two lines have the <em>same slope </em>but <em>different y-intercept</em>, they are parallel - <u>system has no solutions</u>.

If two lines have the <em>same slope</em> and the <em>same y-intercept</em>, they are the same line and are intersecting in infinite many points - <u>system has infinite many solutions</u>.

If two lines have <em>different slopes</em> then they intersect in one point - <u>system has one solution</u>.

We see that lines have different slopes. First line has slope 1 and the other line has slope \frac{3}{2}. So the system has one solution.

You can also check this by solving the system.

Substitute y in second equation with y from first.

6x - 4y = -10

6x - 4(x + 2) = -10

Solve for x.

6x - 4x - 8 = -10

2x = -2

x = -1

y = x + 2

y = -1 + 2

y = 1

The lines intersect in point (-1, 1). <-- one solution

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Commutative property of multiplcation.

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