2(2c+12)=68
Using the opposite steps, inverse operations, solve for the value of the variable
[tex]\huge\boxed{Good\:evening!:)}[/tex]
2(2c+12)=68
4c+24=68
4c=68-24
4c=44
Divide both sides by 4:
c=11
[tex]\huge\boxed{Hence,\:the\:answer\:is\:11.:)}[/tex]
[tex]\huge\underline{Hope\:it\:helps!}[/tex]
[tex]\huge\sf{Good\:luck.}[/tex]
[tex]\boxed{DreamyTeenager\:here\:to\:help}[/tex]
A high school track team's long jump record is 24 ft 2 1/4 in This year, Hal's best long jump is 23 ft 9 1/2 in If long jumps are measured to the nearest quarter inch, how much farther must hal jump to break the record?
24 ft 2 1/4 inches - 23 ft 9 1/2 inches = 4 3/4 inches.
4 3/4 inches would tie it, so now add 1/4 more inches:
4 3/4 + 1/4 = 5 inches.
He needs to jump 5 inches more.
6. Which statement about this figure is true?
When Deema begins her drive, she is 400 mi from home. For the first two hours, she drives on country roads at
an average rate of 25 mph. Then she drives at an average rate of 75 mph until she gets home. Draw a graph to
represent this situation. Show any calculations you need to determine the graph.
Answer:
Step-by-step explanation:
The coordinates of the graph representing the given situation are listed below
A (0 ,400)
B ( 1 ,350 )
C (2,300)
D(3,250)
E(4, 200)
F(5, 150)
G(6, 100)
H(7, 50)
I (8, 0)
The graph attached shows the nature of the graph.
if x and x/4 are a pair of supplementary angles find angles
[tex]\text{Supplementary angles adds up to 180 degree.}\\\text{Given that the angles are x and x/4. As they are supplementary}\\\text{ they add up to 180 degrees}\\\\\\ x+\dfrac{x}{4}=180\\\\\\\dfrac{4x+x}{4}=180\\\\\\5x=720\\\\\\x=\dfrac{720}{5}\\\\\\\boxed{x=144}[/tex]
PLEASE HELP ME IT'S DUE TODAY AND IT COULD HELP MY GRADE A LOT
Answer:
sin =5/3
tan = sin/cos= 3/5/5/3=1
Step-by-step explanation:
you haven't game me much to work with but sin= opp/adj and cos= adj/opp so there you go
2. A new pump is used to empty the pool in Exercise 1. The equation
W= -275(2t - 7) represents the gallons of water w that remain in
the pool t hours after pumping starts.
a. How many gallons of water are pumped out each hour?
b. How much water is in the pool at the start of pumping?
c. Suppose there are 1,000 gallons of water left in the pool. How long
has the pump been running?
d. After how many hours will the pool be empty?
e. Write an equation that is equivalent to w= -275(2t - 7). What
information does it tell you about the situation?
Answer:
a. 550 gallons/hr.
b. 1925 gallons
c. 1.268 hours
d. 3.5 hours
Step-by-step explanation:
W = -275(2t-7), where t is hours since pumping starts. Let's rewrite this in standard line format of y = mx + b, where m is the slope and b the y-intercept (the value of y when x = 0). In this case we'll use W and t instead of x and y.
W = -275(2t-7)
W = -550t + 1925
The 1925 figure represents the water volume when t = 0, the initial volume. The slope of -550 is the rate at which water is being pumped out. 550 gallons/hr.
We can solve the equation for the hours required to make w=0:
W = -550t + 1925
0 = -550t + 1925
550t = 1925
t = 3.5 hours
-
We can solve for when W = 1,000:
W = -550t + 1925
1000 = -550t + 1925
-925 = -550t
t = 1.682 hours
a. 550 gallons/hr.
b. 1925 gallons
c. 1.268 hours
d. 3.5 hours
We can also graph the function. attached.
Elissa got a manicure and pedicure for $40. If she wants to give a 20% tip, how much would the tip be?
Answer:
$8.01
Step-by-step explanation:
in a class of 55 21 study physics 24 study geography and 23 study economics and physics. if x students study all three subjects and 2x study non of the subjects find
1 the value of x
2 the number of students that study only physics
3 number of students that study only 2 subjects
solve usind venn diagram
The total number of students who studied only two subjects is 13.
The given parameters:
Total number of students, n = 55 Number of physics students = 21Number of geography students = 24Number of economics students = 23Number of students for the 3 subjects, = xNumber of students who studied non = 2xThe number of students who studied only two subjects can be determined by applying overlapping three sets formula as shown below;
[tex]Total = n(phy) + n(geo) + n(econ) + n(none)- n(double) - 2(all \ subjects)\\\\55 = 21 + 24 + 23 + 2x-n(double) - 2(x)\\\\55 = 68- n(double)\\\\n(double) = 68-55\\\\n(double) = 13[/tex]
Thus, the total number of students who studied only two subjects is 13.
Learn more about overlapping three sets here: https://brainly.com/question/2041029
How do I find the scale factor‼️‼️
Answer:
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
Investors buy a studio apartment for $150,000. Of this amount, they have a down payment of $37,500.
a. Their odwn payment is what percent of the purchase price?
b. what percent of the purchase price would a 67,500 down payment be?
a. The down payment is __?__% of the purchase price.
(Type a whole number.)
b. A 67,500 down payment would be __?__% of the purchase price.
(Type a whole number.)
Divide the down payment by the purchase price then multiply by 100 to get the percent.
A. 37,500 / 150,000 = 0.25
0.25 x 100 = 25%
B. 67,500/150,000 = 0.45
0.45 x 100 = 45%
Betty makes 40 cupcakes per hour to find the number of cupcakes baked in h hours use the equation f(h)=40 evaluate f(5) and explain what it means
Answer:
Step-by-step explanation:
f(h) = (40 cupcakes / hr)*h
f(5) represents the number of cupcakes baked in 5 hours: 200 cupcakes
Find three consecutive odd integers whose sum is 45
Answer:
13, 15, 17
Step-by-step explanation:
First divide 45/3=15
Then since 15 is odd, subract by 2 to get 13 and add 2 to get 17.
Finally add up 13+15+17 to get 45.
This is a function?
O True
O False
Answer:
true
Step-by-step explanation:im not really sure
1/2.5+1/5.8+1/8.11+...+1/97.100
Answer:
that's is the correct answer
Step-by-step explanation:
hope it helps
Write all the factors of 9 . Use commas to separate them.rtth
Answer:
1, 3, 9
Step-by-step explanation:
the nine can be divided by those three numbers and no more
Answer:
1,3,9
Step-by-step explanation:
plz help me find this answer offering 10 points for a answer !!
the sum of three numbers is 182, the second is 6 times bigger than the first and the third is 14 times bigger than the second number, what are those numbers?
Answer:
The numbers are [tex]2,12,168[/tex]
Step-by-step explanation:
Let the numbers be [tex]a,b,c[/tex]
We have
The sum of three numbers is [tex]182[/tex]
[tex]a+b+c=182-----eqn1[/tex]
The second is [tex]6[/tex] times bigger than the first
[tex]b=6a-----eqn2[/tex]
The third is [tex]14[/tex] times bigger than the second number
[tex]c=14b-------eqn3[/tex]
Substituting in eqn 3
[tex]c=14\times 6a=84a ----eqn4[/tex]
Substituting in eqn 1
[tex]a+6a+84a=182\\\\91a=182\\\\a=2[/tex]
Substituting in eqn 2
[tex]b=6\times2=12[/tex]
Substituting in eqn 3
[tex]c=14\times12=168[/tex]
The numbers are [tex]2,12,168[/tex]
The first number is a , the second number is b , the third number is c
( 0 < a < b < c )
The sum of three numbers is 182
⇒ a + b + c = 182 (1)
The second is 6 times bigger than the first
⇒ b = 6a (2)
The third is 14 times bigger than the second number
⇒ c = 14b = 14.6a = 84a (3)
(1),(2),(3): ⇒ a + 6a + 84a = 182
⇒ 91a = 182
⇒ a = 2
⇒ b = 6a = 6.2 = 12
⇒ c = 14b = 14.12 = 168
Those numbers are 2 , 12 , 168
ok done. Thank to me :>
A class is putting ornaments on a Christmas tree.
One box of 30 ornaments cost $6.99. How
much does one ornament cost? (round to the
nearest cent)
Answer:
each ornament was about 5 cents
Step-by-step explanation:
Hope this helps
May I get Braineist pls
can someone help me with this
Answer:
A. y = 3x.
Step-by-step explanation:Relation 2 is a straight line that does not pass through the origin, so it is a partial variation.
Simplify (x^3 + 2x^2 - x) + (4x^3 + x^2 + x)
Answer: 5x^3 + 3x^2
Step-by-step explanation:
Answer:
Step-by-step explanation:
6x2 - 8x - 2
Simplify ————————————
x - 1
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
6x2 - 8x - 2 = 2 • (3x2 - 4x - 1)
Trying to factor by splitting the middle term
3.2 Factoring 3x2 - 4x - 1
The first term is, 3x2 its coefficient is 3 .
The middle term is, -4x its coefficient is -4 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 3 • -1 = -3
Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -4 .
-3 + 1 = -2
-1 + 3 = 2
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Polynomial Long Division :
3.3 Polynomial Long Division
Dividing : 3x2-4x-1
("Dividend")
By : x-1 ("Divisor")
dividend 3x2 - 4x - 1
- divisor * 3x1 3x2 - 3x
remainder - x - 1
- divisor * -x0 - x + 1
remainder - 2
Quotient : 3x-1
Remainder : -2
Final result :
2 • (3x2 - 4x - 1)
——————————————————
x - 1
See results of polynomial long division:
1. In step #03.03
15(x + 3)2
Box the exponent (s)
please help
Answer:
"2" is the exponent
Step-by-step explanation:
There is no exponent in your expression.
__
When the expression is typeset, the superscript text is considered to be an exponent:
[tex]15(x+3){\boxed{^2}}[/tex]
When the expression is written in plain text, the exponent is indicated by a caret (^):
[tex]\textsf{15(x+3)\^\ \!\!\boxed{\textsf{2}}}[/tex]
Answer:
[tex] {15x}^{2} + 90x + 135 \\ [/tex]
Step-by-step explanation:
[tex]15 {(x + 3)}^{2} \\ 15(x + 3)(x + 3) \\ 15 |(x(x + 3) + 3(x + 3)| \\ 15( {x}^{2} + 3x + 3x + 9) \\ 15( {x}^{2} + 6x + 9) \\ {15x}^{2} + 90x + 135 \\ [/tex]
How i can answer this question
Answer:
A. 2(x+y+1). lmk if you need any more awnsers
Through the successful study of personal finance, an individual will be better prepared to calculate financial risks able to spend available assets. faced with long-term challenges. more likely to avoid high opportunity costs.
Answer:
A. better prepared to calculate financial risks
Step-by-step explanation:
Through the successful study of personal finance, an individual will be better prepared to calculate financial risks.
What is Personal Finance?Personal finance is a broad word that encompasses money management, as well as saving for the future. Personal finance also includes some of the following:
Budgeting, Banking,Insurance, andEstate preparation etcA successful study of personal finance can help in various ways such as:
Assisting in increasing our income stream and cash flows. Keeping track of our expenses and spending habits.Tax preparation and careful budgeting guarantee that our hard-earned money is not wasted on needless purchases.Learn more about personal finance here:
https://brainly.com/question/2961383
I’ll give you a lot of points for this
Answer:
2. (3,4)
Step-by-step explanation:
I need help with this
Answers:
Square = 8Triangle = 3Circle = 2Hope you could get an idea from here.
Doubt clarification - use comment section.
-0.5x=3.6
F. -72
G. -7.2
H. 7.2
I. 72
Answer:
G
Step-by-step explanation:
3.6÷-0.5 is -7.2, so it's G
Please help! I would triple the points
Answer:
1033.33
Step-by-step explanation:
If you take 30 percent of a number and get 310, then what is that number? In other words, you know that 30 percent of a number is 310 and you want to know what that initial number is.
To solve this problem you multiply 310 by 100 and then divide the total by 30 as follows: (310 x 100) / 30
When we put that into our calculator, we get the following answer: 1033.33
You're welcome :)
Answer:1033.33
Step-by-step explanation: i am changing to the right answer I am not copying I just don’t want people seeing the wrong answer
A newspaper carrier can deliver 180 newspapers in three hours. How long would it take the newspaper carrier to deliver 120 newspapers?
Answer:
I think it's 2 hours.
Hope that helps you. x
Step-by-step explanation:
180 newspapers can be delivered in 3 hours,
60 minutes are in 1 hour.
180 divided by 3 = 60
60 x 2 = 120.
So 120 newspapers can be delivered in 2 hours.
5p coins weigh approximately 3 grams
what would the weight of £5 worth of 5p coins ?
give your answer in kg
Answer:
0.3kg(300g)
Step-by-step explanation:
£1=100p
£5=500p
5p=3g
500p=x
x=500*3/5
x=300g
Step-by-step explanation:
£5 in pence is 500p
The number of 5p coins in 500p is:
500/5 = 100 (5p coins)
each 5p coin weighs 3g
therefore the £5 weighs in grams:
3x100 = 300g
To change to Kg: 300/1000 = 0.3 Kg