Answer:
The information we have is:
The boat can hold 170 L of fuel
The boat uses 34L each hour.
With this information, we can find the total amount of time that the boat can be used.
If the boat is used x hours, then it needs:
x*34L of fuel.
And the maximum amount of fuel that the boat can use uis170 L
Then we can solve:
x*34L = 170L
Now we can divide both sides by 34L to isolate x.
x = 170L/34L = 5
This means that the boat can be used for 5 hours.
Please explain the answer and real answers only. Find the y=mx+b
Answer:
-2
Step-by-step explanation:
Given equation
x - 2y = 4
2y = x - 4
y = ( x - 4 ) / 2
y = x/2 - 4 /2
y = x/2 - 2
Comparing with y = mx + b
y-intercept (b) = - 2
Hope it will help :)❤
I'm stuck with the answer....can someone help me?
Step-by-step explanation:
all the fractions should have the same bottom or denominator
so I multiplied the bottom numbers together which is 140
at the top I multiplied 3 x35, 2x28 and 20x1
added them together and got
181/140
Beth has to do 20 math problems tonight. She has completed 20%. How many problems has she completed?
Answer:
She has completed 4 problems
Step-by-step explanation:
Take the total number of problems and multiply by the percent completed
20 * 20%
20 * .20
4
She has completed 4 problems
Answer:
4
Step-by-step explanation:
It is equally probable that the pointer on the spinner shown will land on any one of eight regions, numbered 1 through 8. If the pointer lands on a borderline, spin again. Find the probability that the pointer will stop on an odd number or a number greater than 7
What is the probability
Answer:
5 / 8
Step-by-step explanation:
Total possible outcomes = (1, 2, 3, 4, 5, 6, 7, 8)
Odd outcomes = (1, 3, 5, 7)
Outcomes > 7 = 8
Required outcomes = (1, 3, 5, 7, 8)
Number of required outcomes = 5
P(pointer stops on odd or number > 7) = required outcome / Total possible outcomes
P(pointer stops on odd or number > 7) :
= 5 / 8
0.5(r+2.75) = 30.5(r+2.75)=3
Answer:
3.25 and -2.651639344262295...
Step-by-step explanation:
if 0.5(r + 2.75) = 3, then r = 3.25
if 30.5(r + 2.75) = 3, then r = -2.651639344262295...
I would appreciate Brainliest, but no worries.
Answer:
3.25
Step-by-step explanation:
Question 1
1 pts
What is the value of x in the equation shown below?
2(x + 8) - 4x = 10x + 4
RENA
Answer: 1
Step-by-step explanation:
HELP PLEASE, NO FILES OR LINKS PLEASE
Thomas is going to deposit $840 in an account that earns 7.5% interest compounded annually. His wife Sheril will deposit $1,250 in an account that earns 6.9% simple interest each year. They deposit the money on the same dayand make no additional deposits or withdrawals for the accounts. What statement is true concerning Thomas' and Sheril's account balance after 5 years?
a
Thomas' account will have about $475.32 less than Sheril's account.
b
Sheril's account will have about $475.32 less than Thomas' account.
c
Thomas' account will have about $431.25 less than Sheril's account.
d
Sheril's account will have about $431.25 less than Thomas' account.
Answer:
A
Step-by-step explanation:
I am to determine the future value of Thomas' deposit with annual compounding
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years
840 x (1.075)^5 = 1205.93
I am to determine the future value of Sherill's deposit in 5 years using simple interest
The amount that would be in the account = amount deposited + interest earned on deposit
interest earned on deposit can be determined by determining the simple interest
Simple interest = amount deposited x time x interest rate
1250 x 0.069 x 5 = 431.25
Amount that would be in her account after 5 years = 1250 + 431.25 = 1681.25
Sheril's money is higher by - 1681.25 - 1205.93 = 475.32
guys please help me with this question, I’d appreciate it a lot
Answer:
540
Step-by-step explanation:
area of trapezium is b×h
Answer:
540 Sq m
Step-by-step explanation:
Area of parallelogram EFGH
= base * height
= 30 * 18
= 540 Sq m
Question : In the given figure , ∆ APB and ∆ AQC are equilateral triangles. Prove that PC = BQ.
~Thanks in advance ! <3
Answer:
See Below.
Step-by-step explanation:
We are given that ΔAPB and ΔAQC are equilateral triangles.
And we want to prove that PC = BQ.
Since ΔAPB and ΔAQC are equilateral triangles, this means that:
[tex]PA\cong AB\cong BP\text{ and } QA\cong AC\cong CQ[/tex]
Likewise:
[tex]\angle P\cong \angle PAB\cong \angle ABP\cong Q\cong \angle QAC\cong\angle ACQ[/tex]
Since they all measure 60°.
Note that ∠PAC is the addition of the angles ∠PAB and ∠BAC. So:
[tex]m\angle PAC=m\angle PAB+m\angle BAC[/tex]
Likewise:
[tex]m\angle QAB=m\angle QAC+m\angle BAC[/tex]
Since ∠QAC ≅ ∠PAB:
[tex]m\angle PAC=m\angle QAC+m\angle BAC[/tex]
And by substitution:
[tex]m\angle PAC=m\angle QAB[/tex]
Thus:
[tex]\angle PAC\cong \angle QAB[/tex]
Then by SAS Congruence:
[tex]\Delta PAC\cong \Delta BAQ[/tex]
And by CPCTC:
[tex]PC\cong BQ[/tex]
Answer:
Step-by-step explanation:
To prove PC = BQ, we need to prove triangle APC and ABQ are congruent.
AP = AB as they are part of equilateral triangle APB
AC = AQ as they are part of equilateral triangle AQC
Angle PAC = Angle PAB + Angle BAC = 60 + Angle BAC
Angle BAQ = Angle QAC + Angle BAC = 60 + Angle BAC = Angle PAC
By SAS, triangle APC and ABQ are congruent and therefore
PC = BQ
Which of the following is equivalent to
4x2y - 2y2x - 5xy
Select one:
a. -2x2y - 5xy + 4xy2
b. 2xy2 - 5xy + 4x2y
c. -2xy2 + 5xy + 4x2y
d. -2xy2 - 5xy + 4x2y
e. 2x2y - 5xy
Answer:
1 Simplify 4x\times 2y4x×2y to 8xy8xy.
8xy-2y\times 2x-5xy
8xy−2y×2x−5xy
2 Simplify 2y\times 2x2y×2x to 4yx4yx.
8xy-4yx-5xy
8xy−4yx−5xy
3 Simplify.
-xy
−xy
Step-by-step explanation:
(2-1/2)(3-1/3)(4-1/4)
Answer: 1/4
Step-by-step explanation:
2-1/2 ==> 1/2
3-1/3 ==> 2/3
4-1/4 ==> 3/4
1/2 x 2/3 x 3/4 = 6/24
*Reduce 6/24*
1/4
anyone know the answer?
I have a 30% off Kohl’s coupon!!! I find a pair of jeans for $29. What would my cost be with the 30% off?
Answer:
$20.30 plus tax
Step-by-step explanation:
You multiply 28 x .30 and that is your discount.
Answer:
$20.30
Step-by-step explanation:
Find the area of the polygon.
2.cm
3 cm
2 cm
Given circle B below, find the value of x.
A 27
B 44
C 71
D 142
Answer:
B. 44°
Step-by-step explanation:
Central angle = 3x + 10°
Inscribed angle = 2x - 17°
Now
Central angle = 2 * inscribed angle
( Central angle is double of the inscribed angle standing on same arc)
3x + 10° = 2 ( 2x - 17°)
3x + 10° = 4x - 34°
4x - 3x = 34 ° + 10°
x = 44°
Hope it will help :)❤
wright the ratio in simplest form 1/3
Answer:
1/3
Step-by-step explanation:
End of Module 4 Assessment
Answer:
where's the question?
Step-by-step explanation:
is it a question?
Answer:
whats the question?
Step-by-step explanation:
List 3 responsibilities that a consumer has when making a purchase.
Answer:
check receipt, know the return policy, read the fine print.
Step-by-step explanation:
The responsibilities of a consumer includes check receipt, know the return policy, read the fine print.
Responsibility of a ConsumerEvery consumer have basic responsibility they need to adhere to when making a purchase. This is done to protect their right via consumer laws and these responsibilities includes
check the receipt of purchase know the return policyread the fine print.When a consumer makes a purchase, s/he is required to check the receipt in order to avoid over billing or charges from done intentionally or not. Knowing the return policy and reading the fine print would guide you in the use of the product.
Learn more on responsibility of a consumer here;
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please help!!!!!!!!....
Answer:
Area:12.5663706 Circumference: 12.5663706
Step-by-step explanation:
Please help, again. Once again, first come first serve for brainliest.
Tara is hosting a party. She wants to buy some invitations. She has £50 to spend in either shop 1 or shop 2. What is the maximum number of invitations she can buy from each shop?
please help me tysm !!
Which exponential equation is equivalent to this logarithmic equation?
log x = 4
Answer:
B
Step-by-step explanation:
Use the definition of a logarithm, log b ( x ) = y ⟹ b y = x , to convert from the logarithmic form to the exponential form. 10^ 4 = x
The exponential equation out of the specified options that is equivalent to this logarithmic equation log x = 4 is given by: Option B: 10^4 = x
What is logarithm ?When you raise a number with an exponent, there comes a result.
Lets say you get [tex]a^b = c[/tex]
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]b = \log_a(c)[/tex]
'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'
Log with base e = 2.71828... is written as [tex]\ln(x)[/tex] simply.
Log with base 10 is written as [tex]\log(x)[/tex] simply.
The given logarithmic equation is;
[tex]\log x = 4[/tex]
Since, log with base 10 is written as [tex]\log(x)[/tex] simply, therefore, we have:
[tex]\log_{10} x = 4[/tex]
Using the definition of logarithm, we get;
[tex]x = 10^4[/tex]
Equivalently, [tex]10^4 = x[/tex] (option B).
Thus, the exponential equation out of the specified options that is equivalent to this logarithmic equation log x = 4 is given by: Option B: 10^4 = x
Learn more about logarithm here:
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Leo is constructing a tangent line from point Q to circle P. What is his next step?
Mark the point of intersection S of the segment created from the arcs and circle R, and construct line RS.
Mark the point of intersection S of circles R and P, and construct line QS.
Construct arcs from point Q that are greater than half the length of segment PQ.
Construct a circle from point P that has a radius of P and the intersection of circles P and R.
Answer:
hello your question has a missing diagram attached below is the missing diagram
answer :
Mark the point of intersection S of circles R and P, and construct line QS ( option 2 )
Step-by-step explanation:
when constructing a tangent line from one point ( lets say Q as seen in the question ) to a circle P. The next step should be to mark a point of intersection between the given circles and then construct a line through it
Answer:
Mark the point of intersection S of circles R and P, and construct line QS.
Step-by-step explanation:
This is correct because after you create circle R that intersects circle p, you're supposed to mark the intersection points. If your in FLVS, it would be in lesson 7.04. I also got this right on my test. Good luck!
Artem drives 12.6 miles in 12 minutes.
He passes a sign which gives the speed limit as 50 mph.
By how much, in mph, did Artem's average speed exceed the speed limit?
Answer:
18 mph
Step-by-step explanation:
12.6 × 5 =68.0. 68 - 50 = 18
-2 (4d-1)=26 how to solve plz
Answer:
-3 = D
Step-by-step explanation:
A really smart freind of mine says this is the answer.
Write the standard form of the equation of the circles that passes through (0, 3) with its center at (0,0)
Answer:
[tex]x^2+y^2=9[/tex]
Step-by-step explanation:
Equation of a circle (when centred at the origin):
[tex]x^2+y^2=r^2[/tex] where r is the radius of the circle
Plug in the point (0,3) to solve for the radius squared
[tex]0^2+3^2=r^2\\9=r^2[/tex]
Plug r² back into the original equation
[tex]x^2+y^2=9[/tex]
I hope this helps!
Could someone please help me...... this is hopeless.....
Answer:
[tex]m=-\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{9-10}{6-4}[/tex]
Please help me
Neil is going to a bookstore 45 miles away. The bridge was closed on the way back, so
he had to take an alternate route and had to drive 15 mph slower, which make the trip
back take 7 minutes longer. How fast was he going on the way to the bookstore?
Answer:
35 mph
Step-by-step explanation:
As you might have learned in your physics class, the average speed of a car in mph is 50. You should write this down on some paper.
After writing it down, we need to look at what the problem is asking us, so we don't get confused. " How fast was he going on the way to the bookstore?"
This means that we need to calculate his mph speed on the way to the bookstore by subtracting something.
50 mph=Average
Alternate Route= -15
After you have written THAT down in your notes, you need to ask yourself,
"What is 50-15?"
Calculating 50-15 will make the "15 mph slower" show up and calculating that with the average will get you your answer.
50-15 is 35
Emily is blocking off several rooms in a hotel for guests coming to her wedding. The hotel can reserve small rooms that can hold 2 people, and large rooms that can hold 3 people. Emily booked a total of 15 rooms which can accommodate 36 guests altogether. Graphically solve a system of equations in order to determine the number of small rooms reserved,
Answer: 9.
Step-by-step explanation:
6 large rooms which will add up to 18
9 small rooms which will also add up to 18 totaling the 36 guests.
The no. of small and large rooms in the hotel are 9 and 6 respectively.
What is a linear equation?A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.
Given, Emily is blocking off several rooms in a hotel for guests coming to her wedding.
Let us assume that small rooms be x and large rooms to be y.
Emily booked a total of 15 rooms which is x + y = 15...(i).
which can accommodate 36 guests altogether which is 2x + 3y = 36...(ii)
Now if we multiply eqn(i) by 2 it'll be 2x + 2y = 30...(iii)
Now subtracting eqn(iii) from eqn(ii) we get y = 6.
substituting the value of y in eqn(iii) we get x = 9.
So, the number of small rooms is 9 and no. of large rooms is 6.
learn more about linear equations here :
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