Answer:
Jack's age: 86, Priscilla's age: 72
Step-by-step explanation:
Priscilla's age can be called x, which makes Jack's x + 14. We know that their added ages total 158 years which means that x + x + 14 = 158, which means that 2x + 14 = 158. We can then solve this by subtracting 14 on both sides and getting 2x = 144. We can divide on both sides to get that x = 72. Since Priscilla's age is x and Jack's is x + 14, we already know Priscilla's age and we need to find Jacks by adding 14 to 72. 72 + 14 = 86, so Jack's age is 86.
Answer:
Jack is 86 years old,
and Priscilla is 72 years old
Step-by-step explanation:
j = Jack
p = Priscilla
j - 14 = p $\Rightarrow$ j = p+14
j+p = 158
By subsituting the value of j ( first equation) into the second equation, we get:
p+14+p = 158
2p+14 = 158
2p = 144
p = 72.
So, j = 86
PLEASE HELP 22 POINTS
Answer:
y = 15 m<a = 78 m<b = 68
Step-by-step explanation:
(5y+3) + (4y+8) --> 9y + 11
9y + 11 = 146
y = 15
plug in 15 into the equations for the angles and you get
m<a = 78
m<b = 68
help please i’ll try to give brainliest:)
9514 1404 393
Answer:
108
Step-by-step explanation:
The circumference of a circle is given by ...
C = 2πr
The circle shown has a radius of 9 in, so the circumference is ...
C = 2π(9 in) = 18π in
__
When the circle is dilated by a factor of 6, the circumference is multiplied by 6. It becomes ...
dilated C = 6(18π in) = 108π in
The multiplier of π inches is n = 108.
Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. 88 and -92
Answer:
The distance between them is 180 units
Step-by-step explanation:
Given
[tex]a = 88[/tex]
[tex]b = -92[/tex]
Required
Using absolute value, calculate the distance between them
The distance d is calculated as:
[tex]d = |b - a|[/tex]
Substitute values for a and b
[tex]d = |-92 - 88|[/tex]
[tex]d = |-180|[/tex]
[tex]d = 180[/tex]
It can also be calculated using:
[tex]d = |a - b|[/tex]
Substitute values for a and b
[tex]d = |88 - (-92)|[/tex]
Open bracket
[tex]d = |88 +92|[/tex]
[tex]d = |180|[/tex]
[tex]d = 180[/tex]
What is 5/9 of 18? I need it for my homework.
Answer: 10
Step-by-step explanation:
(5 x 18) / 9 = 90/9 = 10
Answer:
Step-by-step explanation:
An online shopping club has 10,000 members when it charges $7 per month for membership. For each $1 monthly
increase in membership fee, the club loses approximately 400 of its existing members. Write and simplify a function
R to represent the monthly revenue received by the club when x represents the price increase.
Answer:
The function that can be used in the online shopping club about its monthly revenue is:
[tex]R = -400x^{2} +7200x+70000[/tex]
Step-by-step explanation:
First, we're gonna take into account the different values we have in the exercise:
10,000 members$7 per month for membershipLoses of 400 members by each $1 monthly increaseHow the variable [tex]x[/tex] represents the price increase, we can do the formula below:
[tex](10000 - 400x) * (7+x)[/tex]In this formula, we represent in the first part that by each 1 in the variable [tex]x[/tex], the total of members will be reduced in 400, in the second part, we mention that at the same time, the membership fee will be increased in the same value of [tex]x[/tex]. Now we must simplify this function:
[tex](10000 - 400x) * (7+x)[/tex]We operate the values:
[tex]70000+10000x-2800x-400x^{2}[/tex]Solve we can:
[tex]70000+7200x-400x^{2}[/tex]And organize:
[tex]-400x^{2} +7200x+70000[/tex]At the end, how [tex]R[/tex] represents the monthly revenue received by the club, we use that variable for our formula:
[tex]R=-400x^{2} +7200x+70000[/tex]write an equation of a line in point slope form that has a slope of 1/4 and passes through the point (-1, -8)
Point-slope formula: y-y1=m(x-x1)
To fill it in, m is our slope, 1/4. y1 is -8 and x1 is -1.
y+8= 1/4(x+1) This is the formula filled in. If you noticed, the (-) signs that were in the formula changed to (+). This is because (- -) can be changed into (+).
y+8=1/4x+0.25
y=1/4x+8.25
Your answer is y=1/4x+8.25
I hope this was helpful :) please consider giving me brainliest
7) You buy a new car for $25,000 and it begins
to depreciate value as soon as you drive it off
the lot. The car depreciates at an annual rate
of 7%. Write an exponential equation that
shows what is happening to the value of the
car over time.
Answer:
y=25,000(0.07)^t
Step-by-step explanation: t= year/month. not specified, but year is most appropriate for these kind of equations.
A line with a positive slope will go up and to the right on the graph. True false
Answer:
True
Step-by-step explanation:
Let's say the slope of an equation is 3/2. You move the point by moving it up by three and moving it to the right by two or moving it down by 3 and moving it to the left by two.
If the equation was - 3/2. You would move the point by moving it up by three and moving it to the left by two or moving it down by three and moving it the right by two.
Solve
7W + 3 = 5W + 9
Answer:
W = 3
Step-by-step explanation:
7W + 3 = 5W + 9.
Get all the varibles onto one side, and get all the integers onto the other side, we get:
7W - 5W = 9 - 3.
Simplifing, we get:
2W = 6
W = 3.
A town with a population of 5,000 grows 3% per year. Find the population at the end of
10 years.
Answer:
6,500
Step-by-step explanation:
5000x.03=150
150=3%
150x10=1500
1,500+5,000= 6,500
Need this turned in by tonight. Solving for x. My brain is fried, I have been doing math for the last 4 hour.Help!!!!!
Answer:
18. x = 24.519. x = 421. x = 10Step-by-step explanation:
Corresponding sides have same ratio
Q18
7/6 = x / (27- 6)6x = 7*21x = 147/6x = 24.5Q19
(x + 5)/15 = (5x + 1)/35(x + 5)/3 = (5x + 1)/77(x + 5) = 3(5x + 1)7x + 35 = 15x + 315x - 7x = 35 - 38x = 32x = 4Q21
(x + 6)/24 = (2x - 2)/27(x + 6)/8 = (2x - 2)/98(2x - 2) = 9(x + 6)16x - 16 = 9x + 5416x - 9x = 54 + 167x = 70x = 10Which expressions are equivalent to the expression below?
-1/3 - (-4 + 1/6)
Select all that apply.
Step-by-step explanation:
(-2/6)+(24-1/6)
-2+23/6
21/6
apriquide Rd
.) Travis is planning to ride at a constant speed during an upcoming bike trip. He wants to know
how many miles he will ride after different numbers of hours.
c) Plot two points that show how far Travis
will ride after 3 hours and after 4 hours.
Answer:
3 times 30 miles and 4 times 40 miles
Step-by-step explanation:
Travis will ride at a distance of 30 miles after 3 hours and at a distance of 40 miles after 4 hours.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
Given that,
Travis is planning to ride at a constant speed during an upcoming bike trip.
This implies that the slope of the graph will be a constant.
So the graph will be a straight line.
We have two points on the graph (1, 10) and (2, 20).
The starting point will be (0, 0).
Slope = (20 - 10) / (2 - 1) = 10
So the equation of the line is y = 10x.
When x = 3 hours, y = 30 miles
When x = 4 hours, y = 40 miles
Hence the points has to be marked at (3, 30) and (4, 40).
Learn more about Speed and Slope here :
https://brainly.com/question/13281781
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The complete question with the graph is given below.
There are 7 girls and 10 boys taking lifeguard lessons. Write the ratio that compares the number of girls taking lifeguard lessons to the total number of students taking lifeguard lessons
Answer:
7 to 10 or 70%
Step-by-step explanation:
According to recent UN figures, the annual gun homicide rate is 62.4 per one million residents in the US and 1.3 per one million residents in Britain. Compare the proportion of residents killed annually by guns using the (a) difference of proportions, (b) relative risk. Which measure is more useful for describing the strength of association
Answer:
[tex]P_D=61.1*10^{-4}[/tex]
[tex]R_r=480[/tex]
Step-by-step explanation:
From the question we are told that
Homicide rate in US [tex]R_U=62.4\ per\ one\ million[/tex]
Homicide rate in Britain [tex]R_B=1.3\ per\ one\ million[/tex]
Generally the equation for probability of homicide is mathematically given as
[tex]P=\frac{R}{10^6}[/tex]
Generally the equation for probability of homicide in US is mathematically given as
[tex]P_U=\frac{62.4}{10^6}[/tex]
[tex]P_U=62.4*10^{-4}[/tex]
Generally the equation for probability of homicide in Britain is mathematically given as
[tex]P_B=\frac{1.3}{10^6}[/tex]
[tex]P_B=1.3*10^{-5}[/tex]
a)Generally the difference b/w the probabilities P_D is mathematically given as
[tex]P_D=P_U-P_B[/tex]
[tex]P_D=62.4*10^{-4}-1.3*10^{-5}[/tex]
[tex]P_D=61.1*10^{-4}[/tex]
Therefore US annual homicide is [tex]P_D=61.1*10^{-4}[/tex] greater than Britain's
b)Generally the Relative risk is R_r is mathematically given as
[tex]R_r=\frac{P_U}{P_B}[/tex]
[tex]R_r=\frac{62.4*10^{-4}}{1.3*10^{-5}}[/tex]
[tex]R_r=480[/tex]
x + 26 = 39; x =
I NEED HELP !!
Answer:
x=13
i accadently put 36, but you can still see how it happend
Step-by-step explanation:
Think bout brainliest thank you
The formula F = 1.8C + 32 is used to convert temperatures from degrees Celsius, °C, to degrees Fahrenheit, °F. Find the temperature in degrees Fahrenheit that is equivalent to 20°C
Answer:
68F
Step-by-step explanation:
Given data
The formula F = 1.8C + 32
we want to find F for C= 20°C
Substitute into the formula we have'
F = 1.8(20) + 32
F=36+32
F=68
Hence the value of 20°C in Fahrenheit is 68F
I don’t get this please solve it please
Answer:
g=15.04
Step-by-step explanation:
g=4.7×3.2=15.04
Answer:
g/=15.03
Step-by-step explanation:
i hope it's correct in sorry if not
WILL MARK BRAINLIEST! THANK YOUUUU
An equilateral triangle has a side length of 40.
Another side of the same triangle measures 3x + y.
The third side of the same triangle measures 4x - 2y.
What are the values of x and y that would keep the triangle equilateral?
Answer:
x=12, y=4
Step-by-step explanation:
All the sides are the same length.
3x+y = 40
4x-2y = 40
Eliminate y terms: divide second equation by 2 and add to first equation
2x-y = 20
3x+y = 40
---------------
5x = 60
x = 12
y = 40-3x = 4
Answer:
We know that all sides of the equilateral triangle is equal.
Given :---
An equilateral triangle has a side length of 40.
Another side of the same triangle measures
3x + y.
The third side of the same triangle measures
4x - 2y.
According to the above problem, the equation are
3x+y=40........(i) and 4x-2y=40.........(ii)
Divide the equation (ii) by 2, we get
2x-y=20..........(iii)
Now solving for x and y we get,
3x+y=40.......(i)
2x-y=20........(iii)
5x =60
x=60/5
x=12
Putting the value of x in equation in equation (iii) we get
24-y=20
y=24-20
y=4
The values of x and y that would keep the triangle equilateral are 12 and 4 respectively.
Hence, the value of x is 12 and y is 4.Scottie is testing to see if people who go to a lot of movies do better than average on the Verbal SAT (which has a mean of 500 and a standard deviation of 100 and is normally distributed). She has a sample of six people. What kind of hypothesis testing do we use
Answer:
The kind of hypothesis testing we can use is z-test for means
Step-by-step explanation:
Given that;
sample mean x" = 500
standard deviation σ = 100
sample size n = 6
What kind of hypothesis testing do we use?
There are two cases where z-test can be use;
first, when we know the population standard deviation or variance
and secondly, when the population size is more than 30.
So from the question, the population standard deviation was given, which is 100.
Since we know the S.D, it meets the first condition.
Therefore, The kind of hypothesis testing we can use is z-test for means
0p
2. Milk is on sale for 45 % off when it is normally $3.75 per gallon. How much will a gallon of milk cost?
O $1.69
$2.06
$2.05
$2.10
Answer:
A-$1.69
Step-by-step explanation:
45% of 3.75 is 1.6875
1.6875 needs to be rounded to the nearest hundredth
So it would make 1.68
Answer:
2.05
Step-by-step explanation:
x/3.75=45/100 cross multiply. x= about $1.7 but that's not the answer. to find the amount a gallon of milk costs, subtract 3.75 by 1.7, which gives you 2.05.
I have the answer but I don’t know how to show the work
Answer: 76.27 in squared
Step-by-step explanation:
Area of a rectangle: l x w
Area of a circle: (pi)r^2
Rectangle dimensions: 6 x (14-6)= 6 x 8
Circle: r=6
Add the area of the rectangle to the area of a quarter of the circle (Bc that’s all that’s there)
(6 x 8) + (1/4)(pi)6^2
=48+(1/4)(pi)(36)
=48+9(pi) or approximately 76.27 in squared
Answer:
Step-by-step explanation:
which of the following is equivalent to 3(5+2i)-2(3-6i)^2
Answer:
can u show me which following?
Step-by-step explanation:
show like (a, (b or something like that because it says *following and i think that it should have something like that ;-;
If LMN ~ YXZ and the perimeter of YXZ is 144 , Find XZ
Answer:
XZ=51
Step-by-step explanation:
In∆ LMN,
Perimeter = 72+52+68
=192
And using similar triangles, XY is similar to MN
MN/Perimeter of LMN= XY/Perimeter of XYZ
68/192=XZ/144
XZ=[144×68]/192
XZ=51
The length of XZ is 51 units.
What is similarity?If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.
Given:
Perimeter of YXZ is 144
So, In∆ LMN,
Perimeter = 72+52+68
=192
We know that both triangles are similar.
So, , XY is similar to MN
MN/Perimeter of LMN= XY/Perimeter of XYZ
68/192=XZ/144
XZ=[144×68]/192
XZ=51 unit
Hence, the length of XZ is 51 units.
Learn more about similarity here:
https://brainly.com/question/26451866
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#1
Ben and Irene shared an apple. Ben ate 3/4of the apple
and Irene ate 1/4
of the apple.
How much of the apple did Ben and Irene eat?
Answer:
all of it. because he ate 3/4 and she ate 1/4
Answer:4/4 of the apple
Step-by-step explanation: Ben ate 3/4 of the apple and Irene ate 1/4 parts of the apple what is 1 + 3 =4 and there are 4 part of the apple so 4 is how much they ate and 4 is how much there is to eat so it would be 4/4
(sorry if this does'nt help)
Graphs that represent situations that may not have numerical values are Called?
Ssssssssssssssssssssssssssssssssssssssssssssssssss
PLEASE ASAP 829283+749294(284+64304)-639562=
Answer:
use the calculator by doing this types of question
Answer:
48395590593
Step-by-step explanation:
calculator
3 ÷ 1/8 show your work on paper! :D
Answer:
24
Step-by-step explanation:
3 : 1/8 = 3/1 · 8/1 = 3 · 8/1 · 1 = 24/1 = 24
Hope this helped!
The demand d for a company’s product at cost x is predicted by the function
d(x) = 1200 – 8. The price p in dollars that the company can charge for the product
is given by p(x) = 2 + 1. Use the formula Revenue = price × demand to find the
revenue function for the product, in terms of price x
Answer:
[tex]R(x) = - 16x^2+2392x + 1200[/tex]
Step-by-step explanation:
Given
[tex]d(x) = 1200 - 8x[/tex]
[tex]p(x) = 2x + 1[/tex]
Required
Find R(x)
We have that:
[tex]R(x) = d(x).p(x)[/tex]
This gives:
[tex]R(x) = (1200 - 8x) * (2x + 1)[/tex]
Expand
[tex]R(x) = 1200* (2x + 1) - 8x* (2x + 1)[/tex]
Open brackets
[tex]R(x) = 2400x + 1200 - 16x^2 -8x[/tex]
Collect Like Terms
[tex]R(x) = - 16x^2 -8x+2400x + 1200[/tex]
[tex]R(x) = - 16x^2+2392x + 1200[/tex]