2y+ 3x = 87 and y=6x+21

Answer:

The rules of dividing integers are similar to the rules of multiplication

The only difference in division is that the quotient may not necessary be an integer. Hence, when dividing two integers with like signs, we divide the numbers without sign and place a positive sign to the result.

Answer:

I do not agree

Step-by-step explanation:

because in multiply negatives, the 2 negatives turn into a positive or multiplying positive and negative (and vice versa) becomes a negative still so the rules of multiplying and dividing are not alike integers. (For dividing it is the same)

Answer:

See below

Step-by-step explanation:

y=-2x + 3

y = -2*3x​

Both equations are lines.

Two lines will intersect at one point

I will set the two equations equal and solve for the x coordinate.

-2x+3 = -6x

Add 2x from each side

3 = -4x

Divide by -4

-3/4 = x

Now find y

y = -6x

y = -6(-3/4)

y = 18/4 = 9/2

The solution is ( -3/4, 9/2)

Answer:

The value of x is incorrect he should be using 28/21 instead of 21/28

Step-by-step explanation:

tan = opp/adj

tanx = 28/21

The value of x is incorrect he should be using 28/21 instead of 21/28

Answer:

A) The value of x is incorrect. He should be using 28/21 instead of 21/28.

Step-by-step explanation:

Recall that [tex]tan\theta=\frac{opposite}{adjacent}[/tex]. This means that the correct setup would be [tex]tan\theta=\frac{28}{21}[/tex] since 28 is opposite of x° and 21 is adjacent to x°. Thus, your solution would be [tex]x^{o}=tan^{-1}(\frac{28}{21})=53.13010235^o\approx53.1^o[/tex]

Answer:

Step-by-step explanation:

90+35=exterior angle(sum of two interior opposite angle is equal to the exterior angle formed)

125=exterior angle

Answer:

125

Step-by-step explanation:

all the angles inside the triangle should add to 180:

so 180 - 35 - 90 = 55

then since it asked for exterior it should be:

180 - 55 = 125

because it on a straight line and a straight line is 180 it becomes:

125

I can help with more too

Answer:

42ft

Step-by-step explanation:

Area = L×B

7 ft × 6ft

=42 ft

Hope this helps you

Answer:

21 cm²

Step-by-step explanation:

Area of triangle is base x height

                                        2

6 x 7 = 42

42/2 = 21

I hope this helps.

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}=a^{m+n}\\\\\hx^{8} * hx^{-9} = h^{1+1} *x^{8 +(-9)}\\\\ =h^{2}x^{-1}[/tex]

Answer:

Step-by-step explanation:

2 .

a )

     A - 3

     B - 5

     C  - 16

    D - 3

    E - 1

b)

    i) 16

    ii) 28 / 5 = 5 . 6 ( if we round it off then the answer is 6 )

c)

    Mode of data is - A , B , C , D

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

y = 9

x = 9√2

Step-by-step explanation:

Step-by-step explanation:

tan 45= y/9

1=y/9

cross multiply

y= 9

sin 45=y/x

but y= 9

sin 45 = 9/x

0.7071=9/x

cross multiply

0.7071x= 9

x= 9/0.7071

x= 9√2

Answer:

I think the answer is C.

Step-by-step explanation:

The law of exponents states that when you divide the same base you subtract the exponents.

Answer:

i think its B or D sorry if I'm wrong

Answer:

120%

Step-by-step explanation:

Given:

The number is [tex]\dfrac{5}{9}[/tex].

To find:

The location of the given number on a number line.

Solution:

We have,

[tex]\dfrac{5}{9}[/tex]

Here [tex]0<5<9[/tex], so [tex]0<\dfrac{5}{9}<1[/tex].

Mark 8 equidistant small lines between 0 to 1 on the number line to divide the number line in 9 equal parts. Then, the 5th mark represent the value  [tex]\dfrac{5}{9}[/tex].

The location of number [tex]\dfrac{5}{9}[/tex] on a number line is shown below.

Step-by-step explanation:

A is the 1st term

B is the last term

N is the power of the binomial

n=4 since the greatest power is 4

By finding the 4th root of the 1st and the last term as shown in the attached files

We can find the binomial

Answer:

[tex]a \: \: b[/tex]

(1.2)

(2.1)

Answer:

Question 1: (1,2)

Question 2: (2,1)

Step-by-step explanation:

Have a great summer.

Answer: hello your question lacks vital data hence I will provide you with a general equation within the scope of your question

answer :

General equation = ( Stiver and Mackay or EPA ) evaporation equations

E = [tex]\frac{PAW}{T +459.67}[/tex]  or  E = [tex]\frac{7.4PA(0.447W)^{0.8} }{T + 459.67}[/tex]

Step-by-step explanation:

Given data

volume of water in pool = 0.9 i.e. 90% full

rate of evaporation = 7.5ft^3  per day = 56.1039 gallons / day

Assumption :

Volume of pool = 16,000 gallons

In order to resolve the missing part of the problem  apply the equation below

E = [tex]\frac{PAW}{T +459.67}[/tex]   or   E = [tex]\frac{7.4PA(0.447W)^{0.8} }{T + 459.67}[/tex]

where : E = Evaporation rate , P = water's vapor pressure ,  A = pool surface Area , W = wind speed ,  T = Temperature in Fahrenheit

Answer:

p = °99

Step-by-step explanation:

p =(°11)(°19)

p = °99

:)

Answer:

x=-8

Steps:

Simplify-

−3(−7−x)= x+2/2

Simplify-

−3(−7−x)= 1+ x/2

Multiply both sides by 2-

−6(−7−x)=2+x

Expand-

42+6x=2+x

Subtract 2 from both sides-

42+6x−2=x

Simplify-

6x+40=x

Subtract 6x from both sides-

40=x−6x

Simplify-

40=−5x

Divide-

-40/5=x

Simplify-

-8=x

Switch sides-

x=-8

I believe this is correct, if not let me know and I will fix it.

Answer:

14.13 units

Step-by-step explanation:

Semicirle is half the circumferene of a full circle. A full circle has a circumfence of 28.26 units.

Answer:

21

Step-by-step explanation:

You got it right.

Answer:

V = 2261.9

Step-by-step explanation:

The formula to find the volume of a cylinder is:

V = pi • r² • h

Answer:

If you learned that you express pi is π: 720π [tex]cm^3[/tex]

If it says pi is 3.14: 2260.8 [tex]cm^3[/tex]

Step-by-step explanation:

oki, so the rule to find the area of a circle is r x r x π

which will be 36π in this situation!

So we multiply the area of the circle by the height next, and get 720π

if we have to say pi is 3.14, the answer should be 2260.8

Answer:

C) 7.81

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

Identify

Point A(-5, 3)

Point B(1, 8)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Answer:

AB = 7.81

Step-by-step explanation:

Distance between 2 points = sqrt( (x2 - x1)^2 + (y2 - y1)^) )

x2 = - 5

x1 = 1

y2 = 3

y1 = 8

D = sqrt( -5 - 1)^2 + (3 - 8)^2 )

D = sqrt( (-6)^2 + (-5)^2 )

D = sqrt( (36 + 25)

D = sqrt( 61)

D = 7.81

Answer:

9

Step-by-step explanation:

new formula : (5 - 2) ^2

So 5- 2 equals 3. And 3 to the second power is 9

Answer:

Choice C

Step-by-step explanation:

$80 to 5 hours

Divide both numbers by 5 to find the unit rate:

$16 to 1 hour, or 16 to 1

For x hours, the pay, y, is y = 16x.

Choice A is true.

Look at choice B.

When x = 5, y = 80.

This is correct because we are given that information.

The process is to multiply the hours by 16.

For x hours, y = 16x (from choice A)

For x = 7, y = 7 * 16

Choice B works.

Look at choice C.

We need a proportion. The left side is the ratio 80/5, meaning $80 for 5 hours of work. Notice that the first number in the ratio is dollars, and the second number is hours. Now we need another ratio written in the same order to set up a proportion. x dollars is to 7 hours. This is the ratio x/7. The correct proportion is

80/5 = x/7

Choice C is 80/5 = 7/x

Choice C is incorrect.

Look at choice D.

The graph shows that for 5 hours, the pay is $80, so by looking up x = 7, you can find the correct amount of pay.

Choice D works.

Answer: Choice C

Answer:

1/2

Step-by-step explanation:

it is closet to a 1/2

Answer:

2(x_5)

= (2×x)_(2×5)

Step-by-step explanation:

= 2x_10