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My name is Ann [436]
3 years ago
7

Sharko had $294. After spending $24.20 on a plate of pasta, $5.05 on a slushie and giving $59.45 to his sister, he had twice as

much money as his sister. How much money did his sister have at first?
Mathematics
1 answer:
siniylev [52]3 years ago
3 0

Answer:

$43.20

Step-by-step explanation:

He had $294 at first then he spent $24.20 on a plate of pasta, $5.05 on a slushie and gave $59.45 to his sister

so the money left is

294 - 24.20 - 5.05 - 59.45 = 205.3 this is twice of what his sister has so the sister has 102.65

102.65 - 59.45 = 43.20 is the money ahe had at first

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Cameron is older than Hassan. Their ages are consecutive integers. Find Cameron's
Alexxandr [17]

Answer:

25

Step-by-step explanation:

So consecutive integers, just means they're separated by a value of 1. This can be generally expressed as "a, a+1" where these two values would be consecutive integers assuming "a" is an integer.

So let's express Hassan's age as the variable "x", since it's unknown. Since Cameron is older, and by definition of a consecutive integer, Cameron's can be expressed as "x+1"

So the equation we need to set up is Cameron's age + 5(Hassan's age) = 145

So we can substitute the variables we defined to express Cameron and Hassan's age: (x+1) + 5(x) = 145

Distribute the 5: x+1+5x

Add like terms: 6x+1 = 145

Subtract 1 from both sides: 6x=144

Divide both sides by 6: x=24

Since we used "x" to represent Hassan's age, Hassan's age is 24. Since we used "x+1" to represent Cameron's age, Cameron's age is "24+1" which is just 25

6 0
2 years ago
The measure of arc LK is?
Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

Because MK is a diameter, then angle L is a right angle. We already know that the measure of angle K is 50, so the measure of angle M has to be 40 because of the triangle angle-sum theorem. The rule for inscribed angles and the arcs they cut off is that the angle is half the measure of its intercepted arc or, likewise, the arc is twice the measure of the angle that cuts it off. Since arc LK is across from angle M and is cut off by angle M, then arc LK is twice the measure of angle M, and is 80. That's the same reason why angle L is 90; arc MK is a semi-circle, with a degree measure of 180, and angle L is half of that.

Arc LK = 80

5 0
3 years ago
If the four lines are extended, which system would have only one solution?
Anettt [7]

Answer:

A. Line a and line b

Step-by-step explanation:

6 0
3 years ago
What is the undefined variable in this equation (6x2 +3x) ÷ (3x) simplified 3x + 1
ozzi
X is the undefined variable hope it helps

4 0
3 years ago
What is the area of a circle is the radius is 8
Shalnov [3]
When the radius is 8, the area would be 201.06

Area of circle = pi x radius² (pi x 8²)
8 0
3 years ago
Read 2 more answers
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