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vovangra [49]
3 years ago
14

Camila goes out to lunch. The bill, before tax and tip, was $9.20. A sales tax of 3% was added on. Camila tipped 19% on the amou

nt after the sales tax was added. How much was the sales tax? Round to the nearest cent.
Mathematics
1 answer:
aleksandrvk [35]3 years ago
4 0

Answer:

$0.276

Step-by-step explanation:

Given data

Bill= $9.20

Tax= 3%

Tip= 19%

Let us find the amount of the tax and the tip

Tax

=3/100*9.20

=0.03*9.2

=$0.276

Amount after sales tax

= 0.276+9.20

=$9.476

Tip

=19/100*9.476

=0.19*9.476

=$1.80044

Therefore the sales tax

=$0.276

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in the figure below trianglePQM and triangleQRP are right triangles. the measure of lineQM is 6 and the measure of lineQP is 8.
Kipish [7]

Answer:

Option 4 is correct. The length of PR is 6.4 units.

Step-by-step explanation:

From the given figure it is noticed that the triangle PQR and triangle MQR.

Let the length of PR be x.

Pythagoras formula

hypotenuse^2=base^2+perpendicular^2

Use pythagoras formula for triangle PQM.

PM^2=QM^2+PQ^2

PM^2=(6)^2+(8)^2

PM^2=36+64

PM^2=100

PM=10

The value of PM is 10. The length of PR is x, so the length of MR is (10-x).

Use pythagoras formula for triangle PQR.

PQ^2=QR^2+PR^2

(8)^2=QR^2+x^2

64-x^2=QR^2                   .....(1)

Use pythagoras formula for triangle MQR.

MQ^2=QR^2+MR^2

(6)^2=QR^2+(10-x)^2

36=QR^2+x^2-20x+100

36-x^2+20x-100=QR^2        .... (2)

From equation (1) and (2) we get

36-x^2+20x-100=64-x^2

20x-64=64

20x=128

x=6.4

Therefore length of PR is 6.4 units and option 4 is correct.

3 0
3 years ago
What is the slope of the line that passes through the points (3, 4) and (5, –4)?
balandron [24]
M = -4 -4 / 5- 3 = -8/2 = -4

y = -4x + b

4 = -12 + b

b = 16

y = -4x + 16
3 0
3 years ago
Complete. Express the product in simplest form.<br><br> 2/5 of 7/10 =
tester [92]
Of means multiply in math (most of the time). 
So multiply. 
2/5 x 7/10 = 14/50 divided by 2/2 = 7/25 
3 0
3 years ago
Read 2 more answers
"Raju's father age is 5 years more than three times of Raju's age. Raju's father age is 50 years."​
Lana71 [14]

Let rajus age be x

  • His father=3x+5

ATQ

\\ \bull\tt\longmapsto 3x+5=50

\\ \bull\tt\longmapsto 3x=50-5

\\ \bull\tt\longmapsto 3x=45

\\ \bull\tt\longmapsto x=\dfrac{45}{3}

\\ \bull\tt\longmapsto x=15

8 0
2 years ago
Read 2 more answers
(5 points) An urn contains two blue balls denoted by B1 and B2, and three white balls denoted by W1, W2 and W3. One ball is draw
never [62]

Answer:

The probability of the event that first ball that is drawn is blue  is \frac 25.

Step-by-step explanation:

Probability:

If S is is an sample space in which all outcomes are equally likely and E is an event in S, then the probability of E,denoted P(E) is

P(E)=\frac{\textrm{The number of outcomes E}}{\textrm{The total number outcomes of S}}

Given that,

An urn contains two balls B₁ and  B₂ which are blue in color and W₁,W₂ and W₃ which are white in color.

Total number of ball =(2+3) =5

The number ways of selection 2 ball out of 5 ball is

=5²

=25

Total outcomes = 25

List of all outcomes in the event that the first ball that is drawn is blue are

B₁B₁ , B₁B₂ , B₁W₁ , B₁W₂ , B₁W₃ , B₂B₁ , B₂B₂ ,  B₂W₁ , B₂W₂ , B₂W₃

The number of event that the first ball that is drawn is blue is

=10.

The probability of the event that first ball that is drawn is blue  is

=\frac{10}{25}

=\frac25

3 0
3 years ago
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