MATHEMATICS MIDDLE SCHOOL

X – 4y = 7 5x + 9y = 6 (4 points) A(3, –1)
B(3, 1)
C(1, –3)
D(–1, –3)

Answers

Answer 1

Answer:

The solution to the given system of equations is (3, –1). The correct answer is option A.

The system of equations is given as:

x - 4y = 7 ....(1)

5x + 9y = 6 ....(2)

Solve the first equation for x:

x = 7 + 4y

Substitute the value of x in the second equation:

5(7 + 4y) + 9y = 6

35 + 20y + 9y = 6

29y = -29

y = -1

Substitute the value of y back into the first equation to find x:

x = 7 + 4(-1)

x = 7 - 4

x = 3

Therefore, the solution to the system of equations is x = 3 and y = -1.

Thus, the correct answer is option A.

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The complete question is as follows:

Solve the below system of equations.

x – 4y = 7

5x + 9y = 6

A. (3, –1)

B. (3, 1)

C. (1, –3)

D. (–1, –3)

Answer 2

Answer: A is the correct answer.

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A right triangle has legs measuring 4.5 meters and 1.5 meters. The lenghts of the legs of a second triangle are proportional to the lengths of the legs of the first triangle.What could be the lengths of the legs of the second triangle?
Can you solve 2/3(x+13)=22
Evaluate the expression. Express the result in scientific notation.(9.08 × 106) – (2.25 × 105)
If Fernando paid $450 for a notebook that was 75% of the original price, what was the original price?
Y=x-4- 2x + y = 18

A greyhound can go from a state of resting to running at 19.44 meters per second in 1.54 seconds. What is the greyhound's average acceleration. A.
29.94 m/s

B.
29.94 m/s²

C.
12.62 m/s

D.
12.62 m/s²

Answers

The greyhound's average acceleration will be;

⇒ Acceleration = 12.62 m/s²

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A greyhound can go from a state of resting to running at 19.44 meters per second in 1.54 seconds.

Now,

Since, A greyhound can go from a state of resting to running at 19.44 meters per second in 1.54 seconds.

Hence, Initial velocity = 0

Final velocity = 19.44 meter per second

And, Time = 1.54 seconds

Since, Acceleration = Change in velocity / Time

Hence, We get;

⇒ Acceleration = Change in velocity / Time

⇒ Acceleration = (19.44 - 0) / 1.64

⇒ Acceleration = 19.44 / 1.64

⇒ Acceleration = 12.62 m/s²

Thus, The greyhound's average acceleration will be;

⇒ Acceleration = 12.62 m/s²

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Use the acceleration formulae:\[Final velocity (v) - Initial velocity (u) / time taken\]
so it is A

bobby delivers newspapers in his neighborhood. in addition to a weekly salary, he earns tips from the people he delivers to. if he delivers $200 worth of papers each week and earns 17% in tips, how much does he make from tips each week

Answers

You need to find 17% of $200.
Change 17% to a decimal: 0.17

Multiply 200 by 0.17
200 • 0.17 = 34

Bobby makes $34 in tips each week

He measures of the angles of △ABC are given by the expressions in the table.Angle Measure
A 48°
B (6x−28)°
C (2x)°

Find the value of x. Then find the measures of angles B and C.

Enter your answers in the boxes.

x =

m∠B=

m∠C=

Answers

The required measure angles B and C of are 92° and 40° and value of x = 25.

Given,

The measures of the angles in △ABC are 48°, (6x-28)° , (2x)°.

We have to find,

The value of x Then measures of angles B and C.

According to the question,

The sum of all internal angles in a triangle is always equal to 180°.

48° + 6x − 28° + 2x° = 180

8x + 20 = 180

8x = 180 - 20

8x = 160

x = 20

The required value of x = 20.

Then, The required angle are,

6x - 28 = 6(20) - 28 = 92°

And 2x = 2(20) = 40°

The required angles are 92° and 40° .

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You first have to find the value of x, which you can do by creating an equation as you know that all angles in a triangle add up to 180°:
6x - 28 + 48 + 2x = 180
8x + 20 = 180
- 20
8x = 160
÷ 8
x = 20
Now you can substitute it in:
Angle B = (6 ×20) - 28 = 120 - 28 = 92°
Angle C = 2 × 20 = 40°
I hope this helps!

How to write 84,052 in word Form

Answers

We have to write 84,052 in word form.
84,052 = 8 - 10,000 + 4 * 1,000 + 0 * 100 + 5 * 10 + 2 * 1
Answer:
The number is: eighty-four thousands and fifty-two.

The number 84,052 can be written in wordform as "eighty-four thousand fifty-two."

To write 84,052 in word form, we break down the number into its place values.

The digit 8 is in the ten thousands place, so we say "eighty thousand."

The digit 4 is in the thousands place, so we say "four thousand."

The digit 0 is in the hundredsplace, so we don't need to mention it.

The digit 5 is in the tens place, so we say "fifty."

The digit 2 is in the ones place, so we say "two."

Hence, "eighty-four thousand fifty-two" is the word form of the number 84,052.

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382 3/10 - 191 87/100=math difficulties please answer this question

Answers

$382(3)/(10)-191(87)/(100)=\ \ \ | make\ a\ common\ denominator\n\n382(30)/(100)-191(87)/(100)=\n\n381(130)/(100)-191(87)/(100)=190(130-87)/(100)=190(43)/(100)\n\nSolution\ is\ 190,43.$

first you need to find a common denominator , which is 100 . so multiply 3/10 by 10 with both the numerator and denominator. So your new equation should be 382 30/100 - 191 87/100. Even though 382 is larger than 191 , 3/100 is still less than 87/100. So what i do is cross out the first/whole number and then add the denominator. so i change it to look like this....

381 130/100 - 191 87/100

this way its still the same fraction but it will be easier to subtract

so first subtract 381 and 191 which equals 190
then subtract the fractions 130/100 - 87/100 which equals 47/100

so your final answer is 190 47/100

Which would you use to compare 11/12 and 5/6 a common numerator or a common denominator