Answer:
one solution
x=9
Step-by-step explanation:
10x+37=14x+1
37=4x+1
36=4x
x=9
Answer:
X = 9
It has ONE SOLUTION
Step-by-step explanation:
10(x+4)-3=14x+1 (Given)
10x + 40 - 3 = 14x + 1 (distributive property)
10x + 37 = 14x + 1 (combine like terms)
-4x = -36 (subtraction property)
x = 9
A right triangle has a hypotenuse of 16 cm. If one of the angles is 27°, what is the length of the side opposite the angle?
Answer: 7.26
Step-by-step explanation:
a/sinA=b/sinB=c/sinC
16/sin90=b/sin27
16sin27=bsin90
b=16sin27/sin90
b=7.263847996
round to the hundredth:
b=7.26
What is the quotient in 2,347 divided by 7
Answer:
the answer is 335.285714286. Next time, to not use points you can use a calculator on whatever search engine you use.
Step-by-step explanation:
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Find PN and QP.
IMAGE ATTACHED PLS HELP
Answer:
PN: 15
QP: 15
Step-by-step explanation:
if QN is 30 and P is in the middle of N and Q then the distance from P must be 15
What are the domain and range of the function f(x)= Squrt x-7+9
Answer:
domain: x ≥ 7range: f(x) ≥ 9Step-by-step explanation:
The domain is the set of values of x for which the function is defined. Those are the values of x that make the square root argument non-negative:
x -7 ≥ 0
x ≥ 7
__
Since the square root cannot be negative, the sum of it and 9 cannot be less than 9. The range is ...
f(x) ≥ 9
Answer:
domain: x ≥ 7
range: f(x) ≥ 9
Which expression shows the distance on the number line between 2 and -7? O 02-(-7) 0 12 - 7 0 1 7+2 O 12+(-7)
Answer:
=∣∣−5∣∣=5
Step-by-step explanation:
∣∣x−y∣∣=5
Solution:
∣∣x−y∣∣
=∣∣2−7∣∣
=∣∣−5∣∣=5
Answer:
l2-7l
Step-by-step explanation:
A full can of paint contains 4/5 of a gallon. Brandon used 3/4 of a can of paint to paint a doghouse. He then used 2/3 of what remained in the can to paint a door. How much paint is left in the can,in gallons?
Answer:
1/60 gallon
Step-by-step explanation:
You want to know what is left of 4/5 gallon of paint if 3/4 gallon was used to paint a doghouse, and 2/3 of the remaining amount was used to paint a door.
Amount remainingTo find the amount remaining we subtract the amount used for the doghouse from the original amount:
4/5 -3/4 = (16 -15)/20 = 1/20 . . . . . gallon
2/3 of that was used, so 1/3 of it remains:
(1/3)(1/20 gallon) = 1/60 gallon
There is 1/60 of a gallon of paint left in the can.
__
Additional comment
In a standard size gallon paint can, that's about 0.11 inches of paint in the bottom.
<95141404393>
A rectangle has a length 3x + 1 of and a width of Write an expression for the 3-9
perimeter of the rectangle.
The expression for the perimeter is P = 12x - 16
How to write an expression for the perimeter?The given parameters are
Length = 3x + 1
Width = 3x - 9
The perimeter is calculated as
P = 2 * (Width + Length)
So, we have
P = 2 * (3x + 1 + 3x - 9)
Evaluate
P = 2* (6x - 8)
Expand
P = 12x - 16
Hence, the expression for the perimeter is P = 12x - 16
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There are twelve doughnuts in a dozen. How many doughnuts are there in ten dozen?On the double number line below, fill in the given values, then use multiplication ordivision to find the missing value:dozensdoughnutsThere aredoughnuts in 10 dozen.
Given:
12 doughnuts in a dozen
Find how many doughnuts are there in 10 dozens.
To solve for this, let us first take a look at the number line provided. From the problem, it is stated that there are 12 doughnuts in 1 dozen. Therefore, 12 doughnuts = 1 dozen
Next, to find how many doughnuts are there in 10 dozens, we will just multiply 12 by 10.
\(10dozen\times\frac{12doughnuts}{1dozen}\)\(=120doughnuts\)Therefore, we can conclude that there are 120 doughnuts in 10 dozen.
Please help with this question
9514 1404 393
Answer:
21 pounds
Step-by-step explanation:
Let x represent the number of pounds of Type A coffee in the blend. Then the number of pounds of Type B coffee is 4x, and the cost of the blend is ...
4.35x +5.40(4x) = 544.95
25.95x = 544.95 . . . . . . . . . . simplify
x = 21 . . . . . . . . . . . . . . . divide by 25.95
21 pounds of Type A coffee were used.
leg 1: is 5 and leg 2: is 12 what is the hypotenuse
Answer:
13
Step-by-step explanation:
Hypotenuse is c
so c^2 = a^2 + b^2
c^2 = 5^2 + 12^2
c^2 = 25 + 144 = 169
c^2 = 13^2
c = 13
Vidal was comparing his treehouse to Mateo's treehouse,
The length of Vidal's treehouse was 6 feet.
The length of Mateo's treehouse was 48 inches.
How much longer was Vidal's treehouse than Mateo's treehouse?
Write your answer in feet AND inches.
Show your work
Answer:
2 feet and 0 inchesBasic facts:
1foot =12 inch
Step-by-step explanation:
Vidal's treehouse was 6 feet which are 72 inches
Mateo's treehouse was 48 inches
72-48=24
24/12=2
2 feet and 0 inches
look at the simultaneous equations: x+y=a and 2x+y=b. write an expression for x in terms of a and b. write and expression for y in terms of a and b, giving your answer as simply as possible
An expression for x in terms of a and b is y = b - 2x and an expression for y in terms of a and b is y = 2a - b.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A system of equations x + y = a and 2x + y = b.
Now,
x + y = a.
x = a - y and y = a - x.
2x + y = b.
2x = b - y.
x = (b - y)/2.
y = b - 2x.
An expression for x in terms of a and b is,
x + y = a
x + b - 2x = a.
- x = a - b.
x = b - a.
An expression for y in terms of a and b is,
2(a - y) + y = b.
2a - 2y + y = b.
2a - y = b.
- y = b - 2a.
y = 2a - b.
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The wait time of a line x hours after a store opens is given by the expression:40x-12x+23
What does the value 23 represent?
Question 1 options:
the total rate of change in people per hour
the total number of people in line
the rate at which people join the line
the number of people in line when the store opened
Answer:
Step-by-step explanation:
The wait time of a line x hours after a store opens is given by the expression:40x-12x+23What does the value 23 represent?Question 1 options:the total rate of change in people per hourthe total number of people in linethe rate at which people join the linethe number of people in line when the store opened
The cost to rent a moving yan for a day is an initial cost of $29 plus $0.35 per mile driven, Find a function to model the cast of the moving van rental
based on the initial cost and miles driven
Hello!
miles driven = x
the initial cost = 29
f(x) = 29 + 0.35x
Can someone help me
The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.
How to find the scale factor ?To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.
The side length we will pick is AB which is:
= 6 - 2
= 4 units
The side length of the other triangle is A' B' :
= 3 - 1
= 2 units
The scale factor is:
= 2 / 4
= 1 / 2
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Simplify this expression-6+3m+2-m+8
Answer:
2m+4
Step-by-step explanation:
\( \rm \mapsto - 6 + 3m + 2 - m + 8 \\ \rm \mapsto3m - m - 6 + 2 + 8 \\ \rm \mapsto2m + 4 \\ \rm \mapsto2(m + 4)\)
Answer:
4+2m
Step-by-step explanation:
-6+3m+2-m+8
(-6+2+8)+(3m-m)
4+2m
Add the expressions: (3x + 4) + (5x + 7) *
8x + 11
8x - 11
-8x + 11
-8x - 17
Answer:
(8x +11)
Step-by-step explanation:
a group of students went on a class trip. the total cost for the trip was 3825.00. if there are 28 students. what is the total cost per student
Answer:
$136.61 per student
Step-by-step explanation:
3825 divided by 28 = $136.61
PLEASE HELP ME I NEED THIS DONE TODAY PLEASE HELP I KNOW NO ONE WILL BUT IT'S 7TH GRADE MATH PLEASE HELP
Answer:
Overall answer: 10 1/9 - 1 5/18x (Most simplified answer)
Step-by-step explanation:
First you have to do all the Distributive property which the answer would be:
2 1/2 - 1/2x + 3 1/9 + 8/9x + 1/6x - 5/18x + 2 14/18 + 1 13/18
Then you have to find the common demoninator which would be 18
After that you have to put them in the correct order since there is two different terms which would be:
2 9/18 + 3 2/18 + 2 14/18 + 1 13/18 - 9/18x + 16/18x + 3/18x - 5/18x
After that you solve the problem which in the end after solving both terms it ends up as..:
10 2/18 - 1 5/18x
and I think that is as simplified as you can go term wise.
I hope this helps and I hope I didn't make a mistake :D
A small radio transmitter broadcasts in a 69 mile radius. If you drive along a straight line from a city 93 miles north of the transmitter to a second city 78 miles east of the transmitter, during how much of the drive will you pick up a signal from the transmitter?
Answer:
See Explanation
Step-by-step explanation:
According to the Question,
We have A small radio transmitter that broadcasts in a 69-mile radius. If you drive along a straight line from a city 93 miles north of the transmitter to a second city 78 miles east of the transmitter.Thus,
The distance that you get reception is the length of the chord created by the intersection of the circle defining the edge of transmission and the line defining the car trip.
x2 + y2 = 69² this is the circleAnd,
The Transmitter at the origin
City to the north at (0,93) & City to the east at (78,0)
the Slope is M=(-93/78)
Intercept is B= y - mx ⇒ 93 - (-93/78)(0) = 93
The equation of the line between the cities is y = (-93/78)x + 93
y = -93x/78 + 93 this is the lineNow, Solve the above two Equations
The intersection is gotten from the picture or solving:
x^2 + [(-93/78)*x + 93]^2 = 69^2
on solving we get, the points approximately are: (67.952,11.98 ) and (23.6277, 64.82)Now,
From the Pythagorean theorem the total distance of the trip is:
d1 = √(93^2 + 78^2) ≈ 121.37miles
And the distance when the signal is picked up is:
d2 =√ [(67.952-23.627)^2 + (64.82 - 11.98)^2] ≈ 68.96 miles
You will pick up a signal from the transmitter in (d2/d1)*100 = 56% of the drive.
a marble is drawn at random from a bag which contains nine yellow marbles and six white marbles . Find the probability of white marble?
Answer:
2/5
Step-by-step explanation:
A recent survey by the American Automobile Association showed that a family of two adults and two children on vacation in the United States will pay an average of $247 per day for food and lodging with a standard deviation of $60 per day. Assuming the data are normally distributed, find, the percentage of families who spent: Less than $167 per day
Less than $367 per day
More than $247 per day
More than $350 per day
Between $200 and $300 per day
The daily expense for food and lodging will be 337 which is Less than $367 per day.
What is the z-score?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as;
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
Given; A recent survey by the American Automobile Association showed that a family of two adults and two children on vacation in the United States will pay an average of $247 per day for food and lodging with a standard deviation of $60 per day.
Assuming the data are normally distributed if the family had a z-score of 1.5.
Then the daily expense for food and lodging will be;
z = (x - μ) / σ
1.5 = (x - 247) / 60
90 = x - 247
x = 247 + 90
x = 337
Hence, The daily expense for food and lodging will be 337 which is Less than $367 per day.
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Write the rational number as a decimal. 7 over 40
Answer:
0.175 is a decimal and 17.5/100 or 17.5% is the percentage for 7/40.
Answer: 0.175
Step-by-step explanation:
Which shape is NOT a trapezoid?
Answer:
rhombus is not a trapezoid
Step-by-step explanation:
rhombuses dont have one pair of parellel sides
Caroline works in her family restaurant waiting on tables. She is $8.25 per hour for all hours up to 37 in one week and then time and a half for any hours over 37 worked in one week. What would her gross earnings for a week be in which she worked 45 hours?
Answer:
404.25 dollars
Step-by-step explanation:
First, we do 8.35 times 37, and we get 305.25.
Next, we subtract 37 from 45 and get 8.
Then, we do divide 8.25 in half, and get 4.125.
After that we add 4.125 to 8.25 and get 12.375.
Then we do 12.375 times 8 and get 99
Finally, we add 99 and 305.25 together and get 404.25 dollars.
You bought $2000 worth of stocks in 2012. The value of the stocks has been decreasing by 10% each year
Part A
Write an exponential function to represent this scenario...
Format for answer...
A(T) = a (1 + r)
Part B
What will your stock be worth in 2017? Round your answer to the nearest cent.
Answer:
a(t)= 2000(1+r)^T
*make sure to add the power to t
a(t)=2000(1+.10)^5
= 3221.02
Hope this helps!
The exponential decay function is given by y=2000×0.9ˣ and the stock will be worth $1180.98 after a period of 5 years.
What is exponential decay function?In mathematics, exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula y=a(1-b)ˣ wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.
Given here: The value of the stock in 2012 was $2000 and the value decreases each year by 10%
We know the exponential decay is given by y=a(1-b)ˣ
where x is the number of years and 1-b is the decreasing factor
Thus based on the given information we can construct the exponential decay function as y=2000(1-10%)ˣ
or y=2000×0.9ˣ
Therefor in 5 years i.e in 2017 the stock will be worth
y=2000×0.9⁵
=$1180.98
Hence, The exponential decay function is given by y=2000×0.9ˣ and the stock will be worth $1180.98 after a period of 5 years.
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What is the fractional equivalent of 3.15?
Answer:
Below
Step-by-step explanation:
3.15 can be read as 3 and 15 hundredths = 3 15/100 = 3 3/20
Answer: 63/20
Step-by-step explanation:
Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers (k)left parenthesis, k, right parenthesis she can drive with 12 liters of fuel. She assumes the relationship between kilometers and fuel is proportional.
How many kilometers can Pamela drive with 12 liters of fuel?
Answer:
132 kilo meters
Step-by-step explanation:
Pro por tions:
9 lite rs ⇒ 99 km
12 lite rs ⇒ P km
P = 99*12/9
P = 132 km
Answer:
132
Step-by-step explanation:
give person above brainliest :))
50 pts. Compute the requested operating costs as indicated, based on the preceding table and the following information.
Car: six-cylinder compact
Year driven: second
Miles driven: 14,000
The insurance cost for second year is $
.
If the answer is right, (I will check it,) then I will post a question and give you more points. just get on my prophile, and keep reloading on my "questions' page. 100 extra points.
DONT FLAG. I NEED HELP WITH THIS PROBLEM AND I"M TRYING TO GET A REAL ANSWER.
From the table , the insurance cost for the second year based on the prescription given is : $1329
Using the prescription table, the six cylinder compact , second year car with a mileage of 14000 falls in the mid table category with the 13000 mileage label .
The operating cost in insurance for the second year is therefore $1329.
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Your total monthly bill (T
) from the Electric and Gas Company depends on how much electricity and how much gas you use each month. For every kilowatt hour of electricity (k
) you use, you are charged $0.25
and for each therm (t
) of gas used you are charged $0.97
.
Which of the following equations represents the relationship between electricity and gas used and your bill?
The equation representing the relationship between Electricity and Gas used, and your Bill is:
T = 0.25 * k + 0.97 * t
Step-by-step explanation:
Make a plan:
We need to find the equation that represents the relationship between the total monthly bill (T), The Kilowatt Hours of Electricity used (k), and the Terms of Gas used (t).
T = 0.25 * k + 0.97 * t
Solve the problem:
1 - Write the Equation for the cost of Electricity:
0.25 * k
2 - Write the Equation for the Cost of Gas:
0.97 * t
3 - Combine the Equations to Represent the total Monthly Bill (T):
T = 0.25 * k + 0.97 * t
Draw the Conclusion:Hence, The equation representing the relationship between Electricity and Gas used, and your Bill is:
T = 0.25 * k + 0.97 * t
I hope that helps!