Answer:
54=k
Step-by-step explanation:
Answer:
k-54
Step-by-step explanation:
Step 1: Add 12 to both sides.
k−12+12=42+12
k=54
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 coordinates of point J are (5, −6) and the coordinates of the point K are (7, 8).
What are the coordinates of the point one half the distance from J to K?
Answer:
The coordinates of the point one half the distance is (6,1)
Step-by-step explanation:
Here we want to calculate the coordinates one half of the line segment.
This in another way simply means the coordinates of the midpoint of that segment;
Mathematically;
we proceed with this using the midpoint formula
(x,y) = (x1 + x2)/2, (y1 + y2)/2
From the question (x1,y1) = (5,-6) while (x2,y2) = (7,8)
let’s say
(x,y) = (5 + 7)/2 , (-6 + 8)/2
(x,y) = 12/2, 2/2
(x,y) = (6,1)
write down 54300 in standard form
Answer:
50000 + 4000 + 300
Step-by-step explanation:
you don't need to add the extra zeros . you can if you want .
6а – 2а = -48
Need help
Step-by-step explanation:
6а – 2а = -48
4a=-48
a=-12
Answer:
[tex] \huge{ \fbox{ \sf{a = - 12}}}[/tex]
Step-by-step explanation:
[tex] \underline{ \mathfrak{Let's \: solve}}: [/tex]
[tex] \bigstar{ \sf \: \: 6a - 2a = - 48}[/tex]
[tex] \text{Step \: 1 \: } : \sf{Collect \: like \: terms}[/tex]
[tex]\sf{ Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]
[tex] \mapsto{ \sf{4a = - 48}}[/tex]
[tex] \text{Step \: 2 \:} : \sf{Divide \: both \: sides \: by \: 4}[/tex]
[tex] \mapsto{ \sf{ \: \frac{4a}{4} = \frac{ - 48}{4} }}[/tex]
[tex] \text{Step \: 3 \: }: \sf{ Calculate}[/tex]
[tex] \underline{ \sf{Remember!}} : \sf{Dividing \: a \: negative \: integer \: by \: a \: positive \: integer \: gives \: a \: \: negative \: integer.}[/tex]
[tex] \mapsto{ \sf{ \frac{ \cancel{4} \: a}{ \cancel{4} } = \frac{ \cancel{ - 48} ^{ \: \: - 12} }{ \cancel{4} ^{ \: \: 1} } }}[/tex]
[tex] \mapsto{ \sf{a = - 12}}[/tex]
The value of a is -12
Hope I helped!
Best regards! :D
~[tex] \sf{TheAnimeGirl}[/tex]
Which is 100,000,000,000 written as a power of ten!
108
10 9
10 10
10 11
Answer:
the last answer
Step-by-step explanation:
Answer:
10^11
Step-by-step explanation:
the exponent tells you how many times to be multiply by itself to equal the number you wish to write for example 10X10= 10^2
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]
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:
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!
Lainey bought a set of 20 markers for $6.
What is the cost of one marker?
Answer:
19 cents
Step-by-step explanation:
divide 20 by 6
Answer:
3.333333333333 and on
Step-by-step explanation:
When you want to figure this problem out you need to divide the money she spent with the markers so 20/6 and then it would divide to the lowest number possible and then you would get your answer.
Can I be brainliest???
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.
can someone please help me
Answer: A and B
Step-by-step explanation: They both give 2 points and since a is cords it has to have a x/y axis but C just has two number rows
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)
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.
10x+2 = 3x + 30 Find x (please)
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 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
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
Lupe had $100 to buy party supplies for her little sister's birthday. She bought 12 bags of party favors and 15 party hats. Each bag of party favors cost $5.30, and each party hat cost $1.95. How much money did Lupe have left after her purchases? $7.15 $20.50 $36.40 $65.75
Answer:
He had 7.15 dollars left over
Step-by-step explanation:
12 x 5.3 = 63.6
15 x 1.95 = 29.25
63.6 + 29.25 = 92.85
100 - 92.85 = 7.15
hope this helps you :)
pls mark brainlest ;)
The money left with Lupe after her purchase is $7.15.
Given,
Lupe had $100 to buy party supplies for her little sister's birthday.
She bought 12 bags of party favors and 15 party hats.
Each bag of party favors costs $5.30.
Each party hat cost $1.95.
We need to find how much money Lupe has left after her purchases.
How do we find the amount left after spending from the total amount?We will subtract the amount spent from the total amount given.
The number of spending may depend on the number of items bought and the cost of each item.
If one item cost = $a
And number of items bought = 2
The total amount spent = 2 x $a = $2a
Find the amount Lupe has.
= $100
Find the cost of one party bag.
= $5.30
Find the cost of one party hat.
= $1.95
Find the number of the party bags.
= 12
Find the number of the party hats.
= 15
Find the cost of 12 party bags.
= 12 x $5.30
= $63.6
Find the cost of 15 party hats.
= 15 x $1.95
= $29.25
Find the money left.
= $100 - ($63.6 + $29.25)
= $100 - $92.85
= $7.15
Thus the money left with Lupe after her purchase is $7.15.
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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
Find three consecutive odd integers such as the sum of the smallest number and middle number is 27 less than 3 times the largest number
Answer:
17, 19 and 21Step-by-step explanation:
x - an integer
then: 2x is an even number and 2x+1 is an odd number
consecutive odd numbers increase by 2 (even numbers too)
so the next odd number (the middle number) is:
2x+1+2 = 2x+3
and the third (the largest) consecutive is:
2x+3+2 = 2x+5
the sum of the smallest and the middle numbers is:
2x + 1 + 2x + 3
3 times the largest number is:
3(2x + 5)
the sum of the smallest number and middle number is 27 less than 3 times the largest number, so:
2x + 1 + 2x + 3 = 3(2x + 5) - 27
4x + 4 = 6x + 15 - 27
-6x -6x
-2x + 4 = -12
-4 -4
-2x = -16
÷(-2) ÷(-2)
x = 8
2x+1 = 2•8+1 = 17
2x+3 = 2•8+3 = 19
2x+5 = 2•8+5 = 21
Check:
2x+1+2x+3 = 16+1+16+3 = 36
36+27 = 63
63:3 = 21 = 2x+5
h(x) = {(3,-5), (5.-7), (6,-9), (10, -12), (12,1-16)}
Which of the following gives h^-1(x)
Answer:
its b
Step-by-step explanation:
because each pair is inversed
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
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
Javier power walks 4 1/4 miles in 2 hours how many miles does he walk in one hour
Answer:2.125
Step-by-step explanation: :)
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
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
Exercise #4: Each of the following fractions can be converted to a whole number using division.
Do so and show the long division if needed.
A) 12/2
B)45/5
C) 207/9
A) 6 because 12 divided by 2 is 6
B) 9 because 45 divided by 5 is 9
C) 23 because 207 divided by 9 is 23
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
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]
What is the quotient when 512 is divided by -8? Show your work!!
Answer:
-64
Step-by-step explanation:512 divided by 2 can be calculated as follows. 512/2 math problems division = 256. Therefore 256 to 2 decimal places= 256. 512/2
The quotient of the equation when A = 512 / -8 = -64
Given data ,
Let the quotient of the expression be represented as A
Now , the value of A is
Let the first number be represented as p
Now , the value of p = 512
Let the second number be represented as q
Now , the value of q = -8
where A = p/q
On simplifying the equation , we get
A = 512 / ( - 8 )
A = -512 / 8
A = -64
Therefore , the quotient of the expression is A = -64
Hence , the expression is A = -64
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