Art.

Ayanna is 3 years older than Brittany. The sum of 3 times Brittany's age and 2 times Ayanna's age is 76. How old are Ayanna and

Alex_Xolod [135]

Ayanna is 17 and Brittany is 14.

To find this, let's write two equations using the given information.

a = b + 3
3b + 2a = 76

Now, just substitute the first equation into the second and solve.

3b + 2(b + 3) = 76
3b + 2b + 6 = 76
5b = 70
b = 14

If Brittany is 14, then Ayanna is 3 years older at 17.

7 0

2 years ago

Rachel, a 45-year-old female, bought a $120,000, 20-year life insurance policy through her employer. Rachel is paid biweekly.

Andrew [12]

Answer: the answer is $63.14.

Step-by-step explanation:

I took the test and got it correct.

7 0

2 years ago

a rectangle has an area of x2+8x+15 square meters and a width of x+3 what expression represents the length of the rectangle

anzhelika [568]

Answer:

1x + 5

Step-by-step explanation:

Since the area of a rectangle of width w and length l is A = l*w,

length = Area / Width.

Here, x^2 + 8x + 15

length of rectangle = ----------------------

x + 3

Use synthetic division to perform the above. The coefficients of the quadratic are a = 1, b = 8 and c = 15, and the divisor is -3 (from (x + 3).

-3 / 1 8 15

-3 -15

-------------------------

1 5 0

Since the remainer is zero (0), -3 is a root and 1x + 5 is a factor of the quadratic. This factor, representing the length of the rectangle, is 1x + 5.

Next time, kindly share the answer choices. Thank you.

6 0

3 years ago

sheldon bought 4 1/2 kg of plant food. he uses 1 2/3 kg on his strawberry plant and used 1/4 kg for his tomato plant. how many k

fenix001 [56]

Answer:

Sheldon have left $2\frac{7}{12}\ kg$ of food.

Step-by-step explanation:

Quantity of food = $4\frac{1}{2}=\frac{9}{2}$ kg

Quantity used on strawberry plant = $1\frac{2}{3} = \frac{5}{3}\ kg$

Quantity used on tomato plant = $\frac{1}{4}\ kg$

Food left = Total - used on strawberry - used on tomato

Food left = $\frac{9}{2}-\frac{5}{3}-\frac{1}{4}$

Food left = $\frac{54-20-3}{12} = \frac{31}{12}$

Food left = $2\frac{7}{12}\ kg$

Therefore,

Sheldon have left $2\frac{7}{12}\ kg$ of food.

4 0

2 years ago

A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves

Alexxandr [17]

A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?

Total Income = $ 1500

According to the question,

He spends 20% to his kids education

He spends 35% for food

He spends 15% for miscellaneous

Out of total income he spends 20% on kids education

So, amount spent on kids education = 20% of $1500

Amount = 20/100 × $1500

Amount = $300

Hence, money spent on his kids education is $300

35% is spent on food

Money spent on food = 35% of $1500

Money spent = 35/100 × $1500

Money spent = $525

Hence, money spent on food is $525

15% is spent on miscellaneous

Money spent on miscellaneous = 15% of $1500

Money spent = 15/100 × $1500

Money spent = $225

Hence, money spent on miscellaneous is $225

Now, adding all the three we get

$300 + $525 + $225

$825 + $225

$1050

Total money spent = $1050

Remaining money = $1500 - $1050 = $450

<u>Remaining amount left with him is $450</u>

3 0

3 years ago

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