Hey there! I'm happy to help!
We want to get c all by itself on one side of the equation. Usually variables go on the left side, so let's flip the equation around.
c/9=-8
If we multiply c/9 by 9, the 9 will cancel out because if you divide by 9 and then multiply by 9 it just equals 1. We can do this to isolate the c, but whatever you do to one side of the equation, you have to do to the other. So, we multiply both sides by 9.
c/9×9=-8×9
c=-72
Have a wonderful day! :D
Answer:
c = -72
Step-by-step explanation:
Multiply each side by 9, so it now looks like this: -72 = cI hope this helps!
8a + 12b = 92 6a – 4b = 4 -- a =? b = ?
Answer:
a = 4 b = 5
Step-by-step explanation:
8a + 12b = 92......eqn 1
6a - 4b = 4......eqn 2
multiply eqn 2 by 3
18a - 12b = 12.....eqn 2
add eqn 1 and 2 to eliminate b
26a = 104
a = 4
put a = 4 into eqn 2
18(4) - 12b = 12
72 - 12b = 12
72 - 12 = 12b
60 = 12b
5 = b
An AP consists of 55 terms of which 5th term is 14 and last term is 144. Find the 29th term
Answer:
29th term = 76.4
Step-by-step explanation:
Total terms = 55
aₙ = a + (n - 1) d
5th term = a₅ = 14
a + (5 - 1)*d = 14
a + 4d = 14 --------------------(I)
last term = a₅₅ = 144
a + (55 - 1)d = 144
a + 54d = 144----------------(II)
Multiply equation (II) by (-1)
(I) a + 4d = 14
(II)*(-1) -a - 54d = -144 {Now add and thus a will be eliminated}
-50d = -130
d = -130/-50
d = 2.6
Plug in d = 2.6 in equation (I)
a + 4* 2.6 = 14
a + 10.4 = 14
a = 14 - 10.4
a = 3.6
29th term = a₂₉ = 3.6 + (29 - 1)* 2.6
= 3.6 + 28* 2.6
= 3.6 + 72.8
a₂₉ = 76.4
Answer:
76.4
Step-by-step explanation:
Let the first term and common difference of the AP be a and D respectively.
[tex]t_5 = 14 \implies \: a + 4d = 14....(1) \\ t_{55} = 144 \implies \: a + 54d = 144....(2) \\ subtract \: eqution \: (1) \: from \: equatin \: (2) \\ \\ a + 54d - (a + 4d) = 144 - 14 \\ a + 54d - a - 4d = 130 \\ 50d = 130 \\ d = \frac{130}{50} \\ \huge \red{ \boxed{ d = 2.6}} \\ substituting \: d = 2.6 \: in \: equation \: (1) \\ \\ a + 4 \times 2.6 = 14 \\ a + 10.4 = 14 \\ a = 14 - 10.4 \\ \huge \purple{ \boxed{ a = 3.6}} \\ \\ t_{29} = a + 28d \\ t_{29} = 3.6 + 28 \times 2.6 \\ t_{29} = 3.6 + 72.8 \\\huge \orange{ \boxed{ t_{29} = 76.4}} \\ [/tex]
Please help asap!! Thank you
Answer:
The answer is #1
Step-by-step explanation:
If it orginially (30) (97) thats the answer you want, check out the other questions.
30(100-3) = (30) (97)30 ( 90 -3) = (30) (87)30( 97 - 97) = (30) (0)30 (90 - 7) = (30) (93)number one is the only one to the original therefore
30 (100-3) = (30) (97).
recursive function f(7)=5.18
In buffalo, New York the temperature was -12F in the morning. What will the temperature be if it drops 9F
Answer:
The correct answer is -21 degrees.
Step-by-step explanation:
We know that the original temperature was -12 degrees. If the temperature drops another 9 degrees, this means that it is getting colder or the temperature is getting lower; this lets us know that we should subtract 9 from the original temperature. This is modeled below:
-12 - 9
Now, we simply have to perform the subtraction to get:
-21 degrees
Hope this helps!
Hi please help me solve this the topic is on circle geometry, whoever answers will be marked as the brainiest.
=====================================================
Explanation:
Line PR is tangent to the circle at point T. Angle PTO is 90 degrees because of this.
Angle TON is 124 degrees. Triangle TON is isosceles (since we have two sides of the triangle TO and ON equal to the radius). Therefore angles OTN and ONT are equal base angles. Call these x for now
-------
Since 3 angles of any triangle always add to 180, we can say...
x+x+124 = 180
2x+124 = 180
2x = 180-124
2x = 56
x = 28
Therefore,
angle PTN = (angle PTO) + (angle OTN)
angle PTN = 90 + 28
angle PTN = 118
Answer:
d is the answer
Each type of ball represents a different digit (0-9) that
remains consistent across the three equations.
Figure out the number that matches each of the balls
and explain your reasoning.
Answer:
I think the
basketball = 2
football = 4
soccer ball = 0
Step-by-step explanation:
Why because
2+2 = 4 and + =
2×2 = 4 and × =
4+0 = 4 and +⚽ =
Which means that even if basketball is getting added or multiplied it will get the same answer and 2 will gets same answer (4) when it's multiplied or added. In conclusion = 2 = 4 and ⚽ = 0
Let p ↔ q represent the statement "He is wearing a coat if and only if the temperature is below 30°F.”
Which represents p ∧ q?
He is wearing a coat or the temperature is below 30°F.
He is wearing a coat and the temperature is below 30°F.
If he is wearing a coat, then the temperature is below 30°F.
If he is not wearing a coat, then the temperature is not below 30°F.
Answer:
b is the answer
Step-by-step explanation:
on edg
A logical operation is a particular symbol or term that joins two or more informational expressions. The correct option is B.
What is Logical operator?A logical operation is a particular symbol or term that joins two or more informational expressions. It is most commonly used to determine if a connection between two sentences is true or untrue.
Given that p ↔ q represents the statement "He is wearing a coat if and only if the temperature is below 30°F.” Therefore, event p is He is wearing a coat, while event q represents the temperature below 30°F.
Now, In p^q, '^' represents the 'and' operator. Therefore, p^q represents He is wearing a coat and the temperature is below 30°F.
Hence, the correct option is B.
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. If cosec x = √10, cos x =
Step-by-step explanation:
Hey, there!!
Answer: See in pictures.
I hope you are searching this.....
WILL GIVE BRALIEST!!!! PLEASE HELP FOR THESE ARE MY LAST QUESTION!!! AT LEAST TAKE A LOOK!!! EASY I AM JUST DUMB
Which statements describe characteristics of an AND inequality? (Select all that apply.)
A) Values in the solution set satisfy both inequalities.
B) It is the intersection of two solution sets.
C) Shading generally occurs to the right or the left of the named values.
D) It is the union of two solution sets.
Answer:
A) Values in the solution set satisfy both inequalities.
B) It is the intersection of two solution sets.
Step-by-step explanation:
We denote intersection as AND.
[tex]A \cap B \implies \text{A and B}[/tex]
Take those sets. The intersection is what A and B share.
Which pair of points has a slope of 4? Question 4 options: (0, 4), (4, 0) (3, 0), (–1, –1) (0, –3), (1, 1) (1, 4), (–1, 4)
IF DE = 3x+8, EF = 4x+6, and DF = 28, find the value of x. [In your solution,
put x = YOUR ANSWER
Answer:
x = 2
Step-by-step explanation:
Since, points D, E and F are collinear.
Therefore,
DF = DE + EF
28 = 3x + 8 + 4x + 6
28 = 7x + 14
28- 14 = 7x
14 = 7x
[tex] \frac{14}{7} = x \\ 2 = x \\ \huge \red { \boxed{x = 2}}[/tex]
Solve 6x + 12 = 6x + 12
How do you solve?
Answer:
The question has an infinite solution
Picture below for Question
Answer:
i think its c.
Step-by-step explanation:
Which of the following is also known as AR
Solve the following equation for x.
3x-9=-33
A.-16
B.-8
C.-9
D-14
Answer:
-8
Step-by-step explanation:
3x-9 = -33
3x= -33+9
3x= -24
x= -24/3
x= -8
hope this helps
The following equation for x. 3x-9=-33 has the valueof x as -8. Thus, option B is correct.
What is the equation?
A formula that expresses the connection between two words on each side of an indication. A calculation with an integer multiple is referred to as an equation. Algebra is widely used in equations. In performing calculations but unsure of the precise amount, algebra is utilized.
The equation that is presented is
3x-9 = -33
3x= -33+9
Simplifying the equation
3x= -24
x= -24/3
The value of x is derived as
x= -8
Therefore, option B is the correct option.
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christa spends 30% of her weekly income rent. if her rent is $360 each week, find her weekly income.
Answer:
1200
Step-by-step
$360= 30%
$12= 1%
12*100= 1200
Check
1200/0.3=360
3(x+2)=-5(x-3) what is the answer
Answer:
x = 9/8
Step-by-step explanation:
Step 1: Write out equation
3(x + 2) = -5(x - 3)
Step 2: Distribute
3x + 6 = -5x + 15
Step 3: Add 5x on both sides
8x + 6 = 15
Step 4: Subtract 6 on both sides
8x = 9
Step 5: Divide both sides by 8
x = 9/8
Answer: 9/8
Step-by-step explanation:
Use distributive property to solve
7. Jim is training for a race. Jim ran 9.8 miles away from his home. Then, Jim ran 7.2 miles towards his home. Finally, Jim ran 4.6 miles away from his home. How far is Jim from his home? *
Answer:
stop cheating
Step-by-step explanation:
no
Generate a plan and describe the steps needed to solve the equation. 34 = –(m + 3)
Answer:
m=−37
Step-by-step explanation:
34 = -3 + -1m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add 'm' to each side of the equation.
34 + m = -3 + -1m + m
Combine like terms: -1m + m = 0
34 + m = -3 + 0
34 + m = -3
Add '-34' to each side of the equation.
34 + -34 + m = -3 + -34
Combine like terms: 34 + -34 = 0
0 + m = -3 + -34
m = -3 + -34
Combine like terms: -3 + -34 = -37
m = -37
Answer:
Sample Response:
The negative sign outside the parentheses represents –1. Distribute the –1 to everything inside the parenthesis. Use the addition property of equality first to add 3 to both sides. Then use the division property of equality to divide both sides by -1.
Sarah's mom gave her $60 to spend at the mall,
She found a sale on pants and bought three pairs
for the same price. When Sarah got home she gave
her mom $12 in change. How much was each pair
of pants? Write an equation and solve for the
situation
Answer:
16
Step-by-step explanation:
since sarah spent 60 and there was only $12 left you must
1: subtract 12 from 60 which is 48
2. divide 48 by 3 because she bought 3 pairs of jeans which is 16
Answer:
Equation:
60 - 2p = 12
Each pair of pants:
$24
Step-by-step explanation:
Equation:
60 - 2p = 12
Solve:
-2p = 12 - 60
-2p = -48
p = -48/-2
p = 24
Ceck:
60 - 2*24 = 12
60 - 48 = 12
If the area of a garden is 11 square feet, what could be the dimensions of the garden?
Answer:
See below
Step-by-step explanation:
Assuming that the garden is a rectangle, its dimensions could be 1 by 11 feet or 11 by 1 feet. Remember that the area of a rectangle is calculated by multiplying its two dimensions together so we just need to find the factor pairs of 11.
What fraction is bigger 27/75 or 18/55
Answer:
[tex]\frac{18}{55}[/tex]
Step-by-step explanation:
Which fraction is bigger? [tex]\frac{27}{75}[/tex] or [tex]\frac{18}{55}[/tex]
If you look closely the fraction [tex]\frac{27}{75}[/tex] , it looks big but it actually isn't.
The fraction that is bigger is [tex]\frac{18}{55}[/tex] . This is because 75 is a big number and its only 27 out of the 75. In [tex]\frac{18}{55}[/tex] , it's not as big as 75. So compare 18 and 27 and 75 and 55. 75 is 20 more than 55. The number 27 is only 9 bigger than 18.
That's why your answer is
[tex]\frac{18}{55}[/tex]
Hope this helps!
Find the square root by prime factorisation method 6860.
14√35
Step-by-step explanation:√6860 =
= √686×10
= √686×2×5
= √343×2×2×5
= √49×7×2²×5
= √7²×7×2²×5
= 7×2√7×5
= 14√35
[tex]\sqrt{6860}=\sqrt{10*686}=\sqrt{10*343*2}=\sqrt{5*2*343*2}=\sqrt{5*2*7*49*2}=\sqrt{5*2*7*7*7*2}=\sqrt{2*2*7*7*5*7} =2*7\sqrt{5*7} =14\sqrt{35}[/tex]
simply the expression of 3x+6-2x+7
Answer:
ok so add the two X's together
-2x+3x=1x
then at 6 and 7= 13
so answer is 1x+13
Step-by-step explanation:
Answer:
x +13
Step-by-step explanation:
3x+6-2x+7
Combine like terms
3x-2x +6+7
x +13
Write a real world problem for 290=48+22x
You have 48 napkins. You're planning on buying some packages of napkins at the store later. Each package contains 22 napkins. You've got to buy enough since you've need 290 napkins. How many packages of napkins will you buy? Let the amount of packaged napkins you'll buy be x.
HELPP!!!1 Two angles are complementary. One angle is 47 degrees. What is the measure of the other angle?
Answer:
43°
Step-by-step explanation:
Complementary angles add up to 90° in measurement.
One angle is 47 degrees.
[tex]90-47=\boxed{43}[/tex]
The measurement of the other angle would be 43°.
Hope this helps.
The measure of other angle is 43 degree.
What is complementary angles?Complementary angles are those whose combined angle is 90 degrees or less. To put it another way, two angles are said to be complimentary if they combine to make a right angle. In this case, we say that the two angles work well together.
Given that.
Two angles are complementary.
Now consider one angle = x degree
And other angle = y degree
Then according to question,
Measure of angle x = 47 degree
We know that,
The sum of complementary angles are equal to 90 degree.
Therefore,
x + y = 90
x + 47 = 90
x = 90 - 47
x = 43
Hence, the other angle is = 43 degree.
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-5(6x+3y-1)
What is this simplified
Answer:
Step-by-step explanation:-30x-15y+6
Answer:
− 30 x − 15 y + 5
Just distribute and combine like terms
If you want the complete steps just ask!
Hope this Helps!!
2+9x=3(4x+1)-1
Find each solution
Answer:
x = 0
Step-by-step explanation:
Given
2 + 9x = 3(4x + 1) - 1 ← distribute and simplify right side
2 + 9x = 12x + 3 - 1
2 + 9x = 12x + 2 ( subtract 9x from both sides )
2 = 3x + 2 ( subtract 2 from both sides )
0 = 3x ( divide both sides by 3 )
x = 0
A rectangular parking lot has a length that is 8 yards greater than the width. The area of the parking lot is 560 square yards. Find the length and the width.
Answer: length=28, width=20
Step-by-step explanation:
Let x=width, then length=x+8
x(x+8)=560
x²+8x=560
x²+8x-560=0
(x-20)(x+28)=0
x=20 or x=-28 (rej) since a width can't be negative
20+8=28
Hope this helps!! :)
Please let me know if you have any question