Answer:
[tex]a = - \frac{1}{9} [/tex]
Step-by-step explanation:
[tex]5a - 2 = 23a[/tex]
Collect like terms and simplify
[tex] - 2 = 23a - 5a \\ - 2 = 18a[/tex]
Divide both sides of the equation by 18 and simplify
[tex] \frac{ - 2}{18} = \frac{18a}{18} \\ - \frac{1}{9} = a[/tex]
Answer:
answer. -9
Step-by-step explanation:
5a-2=23a
5a-23a=2
-18a=2
a=-18/2
a=-9
Given: angle 1 and angle 2 form a linear pair; angle 2 is congruent to angle 4 Prove: angle 1 and angle 3 are supplementary
Answer:
Step-by-step explanation:
1. ∠1 and ∠2 are a linear pair 1. Given
2. ∠1 and ∠2 are supplementary 2. Linear Pair Postulate
3. m∠1 + m∠2 = 180° 3. Definition of Supplementary Angles
4. ∠1 and ∠3 are vertical angles 4. Given
5. ∠1 ≅ ∠3 5. Vertical angles are congruent.
6. m∠1 = m∠3 6. Congruent angles have equal measure.
7. m∠3 + m∠2 = 180º 7. Substitution into step 3.
8. ∴∠2 and ∠3 are supplementary 8. Definition of Supplementary Angles
Supplementary angles are two or more angles that add up to [tex]180^{o}[/tex]. Thus < 1 and < 3 are supplementary due to the supplementary angles addition theorem.
When two or more angles add up to form [tex]180^{o}[/tex], then they are supplementary. So that applying the required angles postulates or theorems, the following reasons can be deduced:
Statements Reasons
1. ∠1 and ∠2 are a linear pair Given
2. ∠1 and ∠2 are supplementary Linear Pair Postulate
3. m∠1 + m∠2 = 180° Definition of Supplementary Angles
4. ∠2 = ∠4 Given
5. ∠3 = ∠4 Vertical opposite angle Postulate
6. ∠2 = ∠3 Corresponding angle theorem
7. m∠2 = m∠3 Corresponding angles are congruent
8. m∠1 + m∠3 = [tex]180^{o}[/tex] Supplementary angle Postulate
9. <1 and <3 are Supplementary Supplementary angles addition theorem
Therefore <1 and <3 are supplementary angles because they add up to [tex]180^{o}[/tex].
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A train traveled 10 miles in 6 minutes.
At this rate, how far will it travel in 20
minutes?
Hey there! I'm happy to help!
First, let's see how many times 6 minutes fits into 20 minutes.
20/6=3 1/3
So, we are traveling 10 miles 3 1/3 times!
10×3 1/3=33 1/3
This train will travel 33 1/3 miles in 20 minutes.
Have a wonderful day! :D
|x-1|+5=2 also this question
Answer:
No solution
Step-by-step explanation:
There are no values of x that make the equation true.
Answer: No solutions
==========================================
Explanation:
Start things off by subtracting 5 from both sides
|x-1|+5 = 2
|x-1|+5-5 = 2-5
|x-1| = -3
We cannot go any further after this point. The result of any absolute value is never negative. The absolute value represents distance from some number to 0. For example, saying |-7| = 7 means -7 is seven units away from 0 on a number line. Negative distance does not make sense.
So going back to |x-1| = -3 makes no sense as well. There are no numbers we can plug in for x to have |x-1| = -3 be true.
The equation |x-1| = -3 has no solutions, so the original equation doesn't have any solutions either.
A line has this equation: y= -9x-2
Write an equation for the parallel line that goes through (2, -3).
Answer:
y = - 9x + 15
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 9x - 2 ← is in slope- intercept form
with slope m = - 9
Parallel lines have equal slopes, thus
y = - 9x + c ← is the partial equation
To find c substitute (2, - 3) into the partial equation
- 3 = - 18 + c ⇒ c = - 3 + 18 = 15
y = - 9x + 15 ← equation of parallel line
Which equation is equivalent to I = prt?
A. P = I + rt
B. P = Irt
C. P = I - rt
D. P = I/rt
Answer: Choice D. P = i/rt
This is the same as saying P = i/(rt). The parenthesis are preferred in my opinion to indicate we have rt in the denominator and not just r.
======================================
Explanation:
In the original equation, prt is the same as p*r*t. So we multiply p, r and t to get prt.
This can be thought of as p*(rt). To isolate p, we undo the multiplication done to the variable p. We will divide both sides by rt to get
i = prt
i = p*(rt)
i/(rt) = p*(rt)/(rt) ... dividing both sides by rt
i/(rt) = p
p = i/(rt)
6m-6=9m+15 (Show work)
Answer:
[tex]m=-7[/tex]
Step-by-step explanation:
[tex]6m-6=9m+15[/tex]
Add 6 to both sides:
[tex]6m-6+6=9m+15+6[/tex]
[tex]6m=9m+21[/tex]
Subtract 9m from both sides:
[tex]6m-9m=9m+21-9m[/tex]
[tex]-3m=21[/tex]
Divide both sides by -3:
[tex]\frac{-3m}{-3}=\frac{21}{-3}[/tex]
[tex]m=-7[/tex]
Answer:
m = -7
Step-by-step explanation:
Combine like factors. It should now look like this: 6m - 9m = 6 + 156 + 15 = 21Plug 21 in: 6m - 9m = 216m - 9m = -3mPlug -3m in: -3m = 21Divide each side by -3 to cancel out the -3 next to x. It should now look like this: m = -7I hope this helps!
I need help with numbers 4 and 5.
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
15 yd
Syd
8 yd
11 yd
6 yd
?
Answer:
7 yd
Step-by-step explanation:
The sum of horizontal measures is the same across the top and bottom:
15 yd = 8 yd + ?
7 yd = ? . . . . . subtract 8 yd from both sides
The missing side length is 7 yd.
People help please ?????
Answer:
ok so anything raised to the power 0 is equal to 1 so we'll take 9x^0 =1 and then let's solve
Step-by-step explanation:
3x^2(9x)^0
3x^2(1)
=3x^2
Solve the equation, 4 - (x + 1) = 6.
x = -9
x = 3
x = -3
x = 9
Answer:
x = -3
Step-by-step explanation:
[tex]4-(x+1) =6[/tex]
Distribute the negative
[tex]4 - x - 1 = 6[/tex]
Combine like terms on Left Hand Side
[tex]- x + 3 = 6[/tex]
Substract 3 from both sides
[tex]-x = 3[/tex]
Divide both sides by -1 to get rid of the negative
∴ [tex]x = - 3[/tex]
what is 8.613 rounded to the nearest cent? Will mark brainliest!
Answer:
The answer is 8.61
Step-by-step explanation:
Try it and see, pls now mark me brainliest
Which of the following items are elements of a monthly checking account statement? I. A period (beginning date and ending date) II. A beginning balance and ending balance. III. A detailed list of debits and credits during the period. a. I and II b. I and III c. II and III d. I, II and III Please select the best answer from the choices provided A B C D
Answer:the answer is D. I, II, and III
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
what is ??? 5(m-n) It’s distributive property and simply it
A car rental agency intentionally off of the car that can go 304 mile
Answer:
is it complete question if it is not complete give question in comment bar i would try to solve it.
point a is at (1 5) and point c is at (-5 -7) find the coordinates of point b on ab such that ac is 6 times as long as ab
Answer:
b=(0,3)
Step-by-step explanation:
A discrete relationship is shown below between the number of workers on the job and the number of bricks
placed on the wall.
Workers
1
2
3
4
Bricks Placed
90
180
270
360
What’s the relationship
Answer:
[tex]b = 90w[/tex]
Step-by-step explanation:
Required
Determine the relationship
Represent the workers with w and bricks with b
First, we need to determine the constant of proportionality using:
[tex]b = kw[/tex]
Solve for k
[tex]k = \frac{b}{w}[/tex]
When w = 1; b = 90:
[tex]k = \frac{90}{1}[/tex]
[tex]k = 90[/tex]
When w = 2; k =180
[tex]k = \frac{180}{2}[/tex]
[tex]k = 90[/tex]
Notice that [tex]k = 90[/tex] in both cases;
Substitute 90 for k in [tex]b = kw[/tex]
[tex]b = 90w[/tex]
Hence; the relationship is [tex]b = 90w[/tex]
please help me solve this problem
Answer:
1/2 im pretty sure
Step-by-step explanation:
dont understand it, so yeah need some help
Answer:
-4
Step-by-step explanation:
We have the coordinates (6, 3) and (8, 4), allowing us to calculate the slope (or gradient). To do this, you divide the change in y by the change in x, which is 1/2 which is a half.
The form of a linear equation is y = mx + c, where m is the gradient and c is the y-intercept.
We have the gradient, so we can put it in the equation:
y = x/2 + c
We can now substitute in a pair of our coordinates and rearrange to find the y-intercept.
3 = 6/2 + c
3 = 3 + c
c = 0
Therefore the equation for our line is y = x/2.
We can now put in the y coordinate we were given to work out the corresponding x coordinate:
-2 = x/2
x = -4
Therefore n is -4.
4. Simplify the expression: 7r_6+4r + 7 = 5x+r A. 2,5 B. 141 C. 12, + 5+1 D. 124 + 47+1
Answer:
Step-by-step explanation:
7R - 6 + 4R + 7 = 5X + R
A. 2,5
B. 141
C. 12, + 5+1
D. 124 + 47+1
THE ANSWER IS
11R + 1 = 5X + R
If 7x – 7 = -21 then 12x=____?
Solve for m -3(m+w)=y a. m=3w+y/-3 b m=y-w+3 c m= -3(y+w) d m=y+w/3
Answer:
a) m= (3w+y)/-3
3(x+1) = 2(x-5)
Solve for x
Answer:
x = -13
Step-by-step explanation:
3(x+1) = 2(x-5)
3x + 3 = 2x - 10
3x - 2x = -10 - 3
x = -13
Answer:
x = -13
Step-by-step explanation:
To solve for x, we will have to get the equation in a form with x by itself on one side and a value on the right side.
3(x + 1) = 2(x - 5)
Distribute the 3 on the left side and the 5 on the right side.
3x + 3 = 2x - 10
Subtract 3 from both sides.
3x = 2x - 13
Subtract 2x from both sides.
x = -13
And now we have the answer of x = -13.
I hope you find my answer helpful.
The perimeter of a rectangle playing Field is 504 meters. It’s length is 6 meters shorter than twice it’s width. What is the area?
Answer:
Area = 14276
Step-by-step explanation:
Length = 2w-6
Width =w
perimeter = 2w+ 2l =504
2w+2(2w-6)=504
2w+4w-12=504
6w=516
w=86
L=2w-6
L=2(86)-6
L = 172-6
L = 166
Area = L*W
area=86*166
Area = 14276
I can’t figure out the answer to x/3-9=0
Answer:
x = 27
Step-by-step explanation:
x/3-9=0
Add 9 to each side
x/3-9+9=0+9
x/3 = 9
Multiply each side by 3
x/3*3 = 9*3
x = 27
Mr. Bins sold 1/2 of his farm to Mr. Frost and 100 acres to Mr. Slate. He now has 1/5 of his original farm land. How big was his farm originally? How much land does he have now? <3
Answer:
His original farm was 333 1/3 acres
He has 66 2/3 acres of his land left
Step-by-step explanation:
Lex
His total farmland = x
1/2 of x = Mr frost
100 acres = Mr slate
Remaining = 1/5x
His total farmland = Mr Frost + Mr slate + remaining farmland
x = 1/2x + 100 + 1/5x
x = 5x+2x/10 + 100
x = 7/10x + 100
x - 7/10x = 100
10x-7x/10 =100
3/10x = 100
Divide both sides by 3/10
x = 100 ÷ 3/10
= 100 × 10/3
= 1,000/3
= 333 1/3 acres
His original farm was 333 1/3 acres
He has 1/5 of his original farm
1/5 × 1000/3
= 1,000 / 15
= 66 10/15
= 66 2/3 acres
He has 66 2/3 acres of his land left
10x+2 = 3x + 30 Find x (please)
The profits in a business are to be shared by the three partners in the ratio 2:5:3. The profit for the year was $176 500. Calculate each partners share
Answer:
3(176)=$52,950
5(17650)=$35,300
5(17650)=$88,250
Step-by-step explanation:
x=17,650
do you need me to explain it
Vehicles must weigh no more than 10.75 tons to cross a bridge. A truck weighs 11.638 tons. By how many tons does the truck exceed the weight limit?
**ANYONE WHO ANSWER GETS BRAINLIEST ANSWER!**
Answer:
potato pototo boom
Step-by-step explanation:
Answer:
0.888
Step-by-step explanation:
Subtract the trucks weight by the max weight of the bridge
If the line px -5y = 60 has a slope of -23 then p equals ....
Answer:
p = - 115
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
px - 5y = 60 ( subtract px from both sides )
- 5y = - px + 60 ( divide all terms by - 5 )
y = [tex]\frac{1}{5}[/tex] px - 12 ← in slope- intercept form
with slope m = [tex]\frac{1}{5}[/tex] p , thus
[tex]\frac{1}{5}[/tex] p = - 23 ( multiply both sides by 5 to clear the fraction )
p = - 115
The sum of 16 and a number x is equal to 19
Answer:
x = 3
Step-by-step explanation:
We can write the equation as 16 + x = 19
To solve we can work backwards, I know the opposite of adding is subracting... so 19 - 16 = 3 which means x is equal to 3.
Hope that helps and have a great day!
Hey there!
ANSWER: [tex]x=3[/tex]EXPLANATION:[tex]16+x=19[/tex]
There is an easy way to solve this question. First, subtract 19 - 16.
[tex]19-16=3[/tex]
Now let's try putting 3 in x to see if it makes sense.
[tex]16+x=19\\16+3=19(ANSWER)[/tex]
It equaled 19. So this is your answer.
Hope this helps!
[tex]-TestedHyperr[/tex]