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qwelly [4]
3 years ago
10

Audrey had $20 and bought gum for $1.10, a soda for $.99, and a bag of chips for $3.98. how much money does she have left?

Mathematics
2 answers:
kherson [118]3 years ago
7 0
20-(1.10+0.99+3.98)
20-6.07
=<span>$</span>13.93
Neko [114]3 years ago
7 0

Answer:

$13.93

Step-by-step explanation:

We have been given that Audrey had $20 and bought gum for $1.10, a soda for $.99, and a bag of chips for $3.98.

The amount of left money will be equal to $20 minus sum of all items purchased.

\text{Left money}=\$20-(\$1.10+\$0.99+\$3.98)

\text{Left money}=\$20-(\$6.07)

\text{Left money}=\$13.93

Therefore, Audrey have left $13.93.

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#11 and #13 geometry help please help need work shown as well !!
Trava [24]

Answer: In diagram (11) X = 30 degrees and Y = 60 degrees

In diagram (13) X = 20.55 degrees and Y = 69.45 degrees

Step-by-step explanation: What we have are two right angled triangles with two sides given in each case, therefore we can calculate the two unknown angles (since the third angle equals 90 degrees).

For the second triangle (number 13) we shall use Y as the reference angle. That means we have an opposite (the side facing the reference angle) which is 24 and we have an adjacent (the side that lies between the right angle and the reference angle) which is 9. Hence,

Tan Y = opposite/adjacent

Tan Y = 24/9

Tan Y = 2.6667

Checking with your calculator or table of values, 2.6667 = 69.45

Having two angles, which are 90 and 69.45, the third angle X can be computed as

X = 180 - (90 + 69.45)

Sum of angles in a triangle equals 180

X = 180 - 159.45

X = 20.55 and Y = 69.45

For the first triangle (number 11) we shall use X as the reference angle. We have two sides, the opposite (the side facing the reference angle) which is 3, and the hypotenuse (side facing the right angle) which is 6. Hence,

Sin X = opposite/hypotenuse

Sin X = 3/6

Sin X = 0.5000

Checking with your calculator or table of values,

X = 30 degrees.

Also, now that we have two angles we can easily compute the third angle as follows

Y = 180 - (90 + 30)

Sum of angles in a triangle equals 180

Y = 180 - 120

Y = 60

X = 30 and Y = 60

4 0
3 years ago
a recipe calls for 8 cups of raspberries for every 21 people how many cups of raspberries are needed for the same recipe that wi
blagie [28]

Answer:

64 cups of raspberries

Step-by-step explanation:

8=21

?=168

21/8=2.625

so

168 / 2.625= 64

I hope this helps :)

8 0
3 years ago
Read 2 more answers
The bottom of a doorway to a building is 3.45 feet above the ground, and a ramp to the door for the disabled is at an angle of 6
Darya [45]

Answer:

The ramp should be 32.9 feet longer.

Step-by-step explanation:

When the ramp is at 6^{o} to the ground, its length can be determined by applying the appropriate trigonometric function. Let the length be represented by l, so that;

Sin θ = \frac{opposite}{hypotenuse}

Sin 6^{o} = \frac{3.45}{l}

l = \frac{3.45}{Sin 6^{o} }

 = \frac{3.45}{0.10453}

 = 33.0048

l = 33.0 feet

When the angle is reduced to 3^{o}, the length of the ramp would be;

Sin θ = \frac{opposite}{hypotenuse}

Sin 3^{o} = \frac{3.45}{l}

l = \frac{3.45}{Sin 3^{o} }

 = \frac{3.45}{0.05234}

= 65.9152

l = 65.9 feet

Change in length of ramp = 65.9 - 33.0

                            = 32.9

The ramp should be 32.9 feet longer.

5 0
3 years ago
Is 0.75 greater than 0.6
BartSMP [9]
Yes, it is greater than 0.6

5 0
3 years ago
Read 2 more answers
Find x and y. Give reasons to justify your solution
kkurt [141]

Answer:

Y=21

X=8

Step-by-step explanation:

In the middle there is a right angle

therefore 27 +3y=90

Y will be 21

Then x+27+63+8x+18=180

x=8

Hence 8+27+3(21)+8(8)+18=180

4 0
2 years ago
Read 2 more answers
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