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wolverine [178]
3 years ago
7

On her first two quizzes Barbara averaged nine correct answers on the next 3 quizzes she averaged 10 correct answers what decima

l number shows Barbara's average score on all five quizzes
HELP ASAP​
Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0

Answer:

0.98

Step-by-step explanation:

Assuming the number of questions on all the tests is 10,

9+9+10+10+10 / 50

You get 50 by doing 5 quizzes x 10 questions per quiz.

48/50 = 0.98

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A mother has two children whose ages differ by 5 years. The sum of the squares of their ages is 97. The square of the​ mother's
svetoff [14.1K]

Answer:

41 years old.

Step-by-step explanation:

Let x represent age of younger child.

We have been given that a mother has two children whose ages differ by 5 years. So the age of older child would be x+5.

The sum of the squares of their ages is 97. We can represent this information in an equation as:

x^2+(x+5)^2=97

Let us solve for x.

x^2+x^2+10x+25=97

2x^2+10x+25-97=0

2x^2+10x-72=0

Divide both sides by 2:

x^2+5x-36=0

x^2+9x-4x-36=0

x(x+9)-4(x+9)=0

(x+9)(x-4)=0

(x+9)=0 ; (x-4)=0

x=-9 ; x=4

Since age cannot be negative, therefore, age of younger child is 4 years.

Age of older child would be x+5\Rightarrow4+5=9

Therefore, the age of older child would be 9 years.

We have been given that the square of the​ mother's age can be found by writing the squares of the​ children's ages one after the other as a​ four-digit number.

Square of 4: 4^2=16

Square of 9: 9^2=81.

Square of mother's age: 1681

To find mother's age, we need to take positive square root of 1681 as:

\sqrt{1681}=41

Therefore, the mother is 41 years old.

4 0
3 years ago
Help! can someone help me out on this?
Fynjy0 [20]

Answer:

solve by substitution method

6 0
3 years ago
Jim borrows $790 for 4 months. He pays a simple interest rate of 6%. How much interest must he pay? Round your answer to the nea
nydimaria [60]

Answer:

Jim will be paid $150 or 30% to his account.

Step-by-step explanation:

Have a great day :)

3 0
3 years ago
Use the number line. Enter the integer value that point D represents.
GenaCL600 [577]

Given:

A number line from -10 to 10 with 20 tick marks.

Point D is 1 tick mark to the left of 5.

To find:

The integer value that represents point D.

Solution:

A number line from -10 to 10 with 20 tick marks. It means, each mark represents the integer values from -10 to 10.

We know that, as we move towards left on a number line the value decreases and as we move towards right the value increases.

Point D is 1 tick mark to the left of 5. It means, point D represents the integer value which is 1 less than 5.

5-1=4

Therefore, point D represents the integer 4.

4 0
3 years ago
Solve each equation for 0 degrees
blondinia [14]

Answer:

Alright.

A=0

B=15

C=23

D=87

Step-by-step explanation:

Used a Calculator

<em>Hope this helps!</em>

<em />

<em>xoxo,</em>

<em />

<em>cafeology</em>

5 0
3 years ago
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