MATHEMATICS HIGH SCHOOL

three times a number plus three times a second number is fifteen. Four times the first plus twice the second number is fourteen. Find the numbers.

Answers

Answer 1

Answer:

9514 1404 393

Answer:

2 and 3

Step-by-step explanation:

Let x and y represent the first and second numbers, respectively.

3x +3y = 15

4x +2y = 14

Dividing the equations by common factors, we can rewrite them to standard form:

x + y = 5

2x + y = 7

Subtracting the first equation from the second gives ...

(2x +y) -(x +y) = (7) -(5)

x = 2

Using either equation to find y, we have also ...

y = 3

The two numbers are 2 and 3.

Answer 2

Answer:

{3m+3n=15

4m+2n=14

Step-by-step explanation:

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Write in standard form (x^2 + 3x -1) + (7x-4)
If the exterior sides of two adjacent angles are opposite rays, then the angles are _____ angles. A. complementary B. supplementary C. vertical D. right
If CD= 12, find the value of EB.A E 5 B 5 12 EB =[?] D

Figure JKLM is a rectangle, so mKJM = mKLM = 90° and KJC MLC. Which reason justifies the statement that KLC is complementary to KJC?

Answers

Complementary angles are angles that sum up to 90°

We know that:
1- MLC=KJC.
2- KLM=90.

KLM is composed of KLC and MLC.
This means that:
KLC+MLC=90°

Since MLC=KJC, we can write this as KLC+KJC=90°.
This is the definition of complementary (two angles whose sum is 90 degrees).

Angles that are congruent are complementary to the same angle. Is the correct answer A

How do you write 39/10 as a percentage?

Answers

Answer:
39/10

39 ÷ 10= 3.9

3.9 x 100 = 390%

39/10
= (39*10) / (10*10)
= 390/ 100
= 390%

The final answer is 390%~

Solve the inequality. |4x + 2| < 26 A. –32 < x < 20

B. –7 > x > 6

C. –6 < x < 6

D. –7 < x < 6

Answers

Hello,
Answer D

1) if 4x+2>0 then |4x+2|=4x+2
==> 4x+2<26
==>4x<24
==>x<6

2) if 4x+2<0 then |4x+2|=-(4x+2)=-4x-2

==>-4x-2<26
==>-4x<28
==>x>-7

thus -7<x<6

Answer:

D. –7 < x < 6

Step-by-step explanation:

What fraction has a value that's equal to 3/4

Answers

Fractions are always represented in the numerator and denominator forms.

The final fraction form that is equivalent to 3/4 is 6/8, 9/12.

How to calculate the fractions?

The below expressions can give us a better idea to solve any fractions.

$(a/b)/(c/d)=(a * d)/( b * c)$

Calculations:

$\begin{aligned}(3)/(4)&=(3 * 2)/(2 * 4)\n&=(6)/(8) \end{aligned}$

Thus, the value of the final fraction is 6/8.

To know more about the fractions, please refer to the link:

brainly.com/question/1301963

There are several fractions with values equal to 3/4. To find them, just multiply the numerator and denominator by the same number.

3 x 2 = 6
4 x 2 = 8

Therefore, 6/8 is equal to 3/4. You could do this with 4, too, to get 12/16, or any other number beyond that.

Hope this helps!

Write the expression as either the sine, cosine, or tangent of a single angle.cosine of pi divided by five times cosine of pi divided by seven plus sine of pi divided by five times sine of pi divided by seven.

Answers

The expression is:
cos (π / 5) cos (π/7) + sin (π/5) sin(π/7)

This expression can be reduced into a trigonometric function with one angle if we make use of the trigonometric identities. The appropriate identity is:
cos (A - B) = cos A cos B + sin A sin B

If we let
A = π / 5
B = π / 7

Therefore,
cos (π / 5) cos (π/7) + sin (π/5) sin(π/7) = cos (π/5 - π/7) = cos (2π/35)

What is a term without a variable

Answers

A term without a variable is called a constant term, and the degree of that term is 0Hope that helps you I knew this was 0 beciase i study this a long time ago

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