Answer:
Number of month in first gym = 7
Number of month in second gym = 5
Step-by-step explanation:
Given:
First gym member ship cost = $75 per month
Second gym member ship cost = $50 per month
Total spending = $775
Computation:
Number of month in first gym = a
Number of month in second gym = b
So
a + b = 12....eq1
75a + 50b = 775 ....eq2
From eq 1 and 2
a = 7 month
b = 5 month
Number of month in first gym = 7
Number of month in second gym = 5
Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (×2 + x-2) and got the
expression below.
(2x) (x2) + (2x)(x) + (2x)(-2) + (3)(x2) + (3)(x) + (3)(-2)
Which is the simplified product?
2x³ + 5x² - x - 6 is the simplified product of (2x) (x2) + (2x)(x) + (2x)(-2) + (3)(x2) + (3)(x) + (3)(-2).
What is a trinomial?A three-term algebraic expression is referred to as a trinomial. Variables and constants of one or more terms make up an algebraic expression. These expressions separate words or phrases using symbols or operations like +, -,×, and ÷.
This algebraic phrase includes a trinomial as well as a monomial, binomial, and polynomial. Let's learn more about trinomials, how to factor them, and the formula for doing so while also solving some problems.
It is expressed as
x² + xz + 1
A simplified product will be an equation where we will take all the same variables as common variables.
⇒ (2x)(x²) + (2x)(x) + (2x)(-2) + (3)(x²) + (3)(x) + (3)(-2)
⇒ 2x³ + 2x² -4x +3x² + 3x -6
⇒ 2x³ + 5x² - x - 6
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Joyce saved $130 on an item that was 25
%
off. What was the original price?
Answer:
$520
Step-by-step explanation:
If it was 25% off and she saved 130
then 130 is the 25%
130*4 = 520
Point slope form.
Y-4=
Please help algebra work needs to be shown please help
Answer: 1) x=6.92 or rounded: 6.9
take a look at the image
help please and hurry!
You have 72 grams of a radioactive kind of actinium. If its half-life is 6 hours, how much will
be left after 12 hours
Answer:
There will be 18 grams left after 12 hours.
Step-by-step explanation:
Half-life is the amount of time it take for a cell to turn from one condition to another.
To find the amount of grams for the first 6 hours.
72 ÷ 2= 36
Now, since 6 x 2 = 12, we need to divide 36 by 2 to find the next half-life.
36 ÷ 2 = 18
Therefore, there will be 18 grams left after 12 hours.
Hope this helps! :D
Evaluate each combination.
The general manager of a fast food restaurant chain must select 6 restaurants from 11
for a promotional program. How many different ways can this be done?
O 332,640
O 462
O 66
O 720
There are 462 different ways can be done for a promotional program.
Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter.
Selection of menu, food, clothes, subjects, the team are examples of combinations.
The formula for combinations is: nCr = n!/[r! (n-r)!]
nCr represents the number of combinations from “n” objects taken “r” at a time.
given that
select 6 restaurants from 11.
nCr = n!/[r! (n-r)!]
we are looking at a Combination of 11 things takes 6 at a time, or 11C6
11C6=11!/(6!5!)
11C6=11×10×9×8×7 / 5×4×3×2×1.
11C6=55440 / 120
11C6=462
Thus, there are 462 different ways in which the manager can choose 6 restaurants at a time out of 11.
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Joan Arlington has twice as much money invested at 5% simple annual interest as she does at 4%. If her yearly income from the two investments is $154, how much does she have at each rate? equation
Answer:
1100
Step-by-step explanation:
On the way to work Stan can drive his 60-mile commute in 1 hour. However, because of traffic, it takes 3 hours to get home. What is his average speed for the round trip?
A. 30 miles per hour
B. 20 miles per hour
C. 60 miles per hour
D. 40 miles per hour
a pyramid is made of metal balls. the lowest layer consists of 4 by 4 balls ,the next layers of 3 by 3 and 2 by 2 and one ball at the top. every two balls that touch each other are connected with screw. how many screws are used to build this pyramid?
Answer:
total answer is a 34.
Step-by-step explanation:
4444
4444
4444
4444=18
333
333
333=12
22
22=4
Total is 34.
Answer:
answer is 96
Step-by-step explanation:
MARK ME AS THE BRAINLIEST
What is the value of x?
–2x – x + 3 = –12
Answer:
x = 5
Step-by-step explanation:
-2 -1(coeffcient of -x) = -3
-3x +3 =-12
subtract 3 (the constant) from both sides
cancelling it on the left and leaving -3x = -15
divide each side by -3 leaving x and 5
x = 5
URGENT
Factor.
4m² - 52m + 88
Answer:
[tex]4(m - 11)(m - 2)[/tex]
Step-by-step explanation:
[tex]4 {m}^{2} - 52m + 88[/tex]
[tex] = > 4( {m}^{2} - 13m + 22)[/tex]
[tex] = > 4( {m}^{2} - 11m - 2m + 22)[/tex]
[tex] = > 4(m(m - 11) - 2(m - 11))[/tex]
[tex] = > 4(m - 11)(m - 2)[/tex]
This is hard and long. Good Luck.
There are three pairs of faces with surface areas of 75.3 square inches, 111.384 square inches and 35.818 square inches.
The surface area of the six faces of the parallelepiped is equal to 444.956 square inches.
The real surface area is between 214.9 square inches and 668.3 square inches.
The mistaken surface area found by Jayden is 443 square inches.
How to determine the surface area of a right angled parallelepiped
In this problem we find a right angled parallelepiped whose dimensions are known. The surface area of the parallelepiped is the sum of the areas of the six faces. There are three pairs of faces with the following dimensions:
Pair 1
A' = (4.92 in) · (15.3 in)
A' = 75.276 in²
Pair 2
A'' = (15.3 in) · (7.28 in)
A'' = 111.384 in²
Pair 3
A''' = (4.92 in) · (7.28 in)
A''' = 35.818 in²
There are three pairs of faces with surface areas of 75.3 square inches, 111.384 square inches and 35.818 square inches.
The surface area of the six faces of the parallelepiped is equal to 444.956 square inches.
The range of measures for the area of the parallelepiped is represented by the following inequality:
6 · 35.818 in² < 444.956 in² < 6 · 111.384 in²
214.908 in² < 444.956 in² < 668.304 in²
The real surface area is between 214.9 square inches and 668.3 square inches.
Lastly, the mistaken surface area found by Jayden is:
A = 2 · (4.92 in) · (15.1 in) + 2 · (111.384 in²) + 2 · (35.818 in²)
A = 442.988 in²
The mistaken surface area found by Jayden is 443 square inches.
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Anna wants to purchase advertising space in the school newspaper. Each square inch of advertisement space sells for $3.00. She wants to purchase a rectangular space with length and width in the ratio 3:2 and she has up to $50.00 to spend. What are the dimensions of the largest advertisement she can afford to purchase?
(please explain how you got the answer and show me some work!!)
Answer:
The largest advertisement she can afford has dimensions of 5 in x 10/3 in
Step-by-step explanation:
Assume the dimensions of the advertisement are L and W.
The area of the advertisement is:
A = L.W
The ratio length/width is 3:2, thus the proportion is:
[tex]\displaystyle \frac{L}{W}=\frac{3}{2}[/tex]
Thus:
[tex]\displaystyle L=\frac{3}{2}W[/tex]
The area is:
[tex]\displaystyle A=\frac{3}{2}W^2[/tex]
Since the square inch of advertisement space sells for $3, the cost for Anna to purchase it is:
[tex]\displaystyle C=3\cdot\frac{3}{2}W^2[/tex]
Simplifying:
[tex]\displaystyle C=\frac{9}{2}W^2[/tex]
This cost can be a maximum of $50, thus:
[tex]\displaystyle \frac{9}{2}W^2=50[/tex]
Multiplying by 2:
[tex]9W^2=100[/tex]
Solving for W:
[tex]\displaystyle W=\sqrt{\frac{100}{9}}=\frac{10}{3}[/tex]
[tex]\displaystyle W=\frac{10}{3}[/tex]
And
[tex]\displaystyle L=\frac{3}{2}\cdot \frac{10}{3}[/tex]
L = 5
Thus the largest advertisement she can afford has dimensions of 5 in x 10/3 in
Use the following cell phone airport data speeds (Mbps) from a particular network. Find P40
0.4
1.1
0.2
0.6
1.7
3.5
10.7
0.2
0.6
1.9
4.4
10.8
0.3
0.7
2.1
5.2
11.1
0.3
0.7
2.5
6.8
12.2
0.3
0.8
2.6
7.8
12.5
0.3
0.9
2.6
8.8
14.6
0.4
0.4
1.1
2.8
2.9
8.8
14.6
9.8
15.4
0.40
1.3
1.4
3.2
3.4
9.9
10.1
15.5
26.7
P40= ___ Mbps
The 40th percentile is (1.6 + 1.6) / 2 = 1.6
What is percentile ?
In statistics, a k th percentile is a score below which a given percentage k of scores in its frequency distribution falls or a score at or below which a given percentage falls.
The data are in ascending order.
Compute the position of the pth percentile (index i):
i = (p/100)*n
i = (40/100)*50
i = 20
The index i is an integer ⇒ the 40th percentile is the average of the values in the 19th and 20th positions (1.6 and 1.6 respectively).
Therefore, the 40th percentile is (1.6 + 1.6) / 2 = 1.6
P40=1.6 Mbps
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8
Find the slope of the line that passes through the points (10,8) and (6, 14).
Write your answer as a simplified fraction.
i need help with some questions
Answer:
I will try doing it
Step-by-step explanation:
which are the questions
What would be the result if a was increased by 25 percent
Answer: formula - (x/4)+x
Step-by-step explanation:
Since there are no numbers, here is just the formula and what it means :)
(x/4)+x
(btw x is whatever your number is)
so what you need to do first is to divide your number by 4 because 25% is 1/4 of 100%
and then add that number that you just got to your number.
Its a little confusing to say out in words, so here is an example using 24
24/4=6
24+6=30
and heres another example using 50
50/4=12.5
50+12.5=62.5
I hope this helped! <3
guys i need help asap someone good with geomtry???
Answer:
[tex]CF<BC<BF[/tex]
Step-by-step explanation:
[tex]As\ we\ know\ that,\\The\ longest\ side\ in\ a\ triangle\ is\ the\ side\ opposite\ to\ the\ largest\ angle.\\Here\ in\ \triangle BCF,\\\angle B=52\\\angle C=65\\\angle F=63 [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence,\\As\ we\ can\ observe\ that\ \angle C\ is\ the\ largest\ followed\ be\ \angle\ F\ and\ \angle B. \\BF\ is\ the\ longest side\ followed\ by\ BC\ and\ CF.\\Hence, \\BF>BC>CF\\Or,\\CF<BC<BF[/tex]
Which linear function has the same y-intercept as the one that is represented by the graph?
Oy=2x-4
Oy=2x-3.
Oy=2x+3
Oy=2x+4
Answer:
Oy=2x+3
Step-by-step explanation:
The function that has the {y} - intercept as that of the function graphed is y = 2x + 3
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is to find the linear function that has the same y-intercept as the one that is represented by the graph.
The function graphed has the {y} - intercept of 3.
For the functions given -
Functions {y} - intercept
y=2x-4 -4
y=2x-3. -3
y=2x+3 3
y=2x+4 4
So, the function that has the {y} - intercept of 3 is y = 2x + 3.
Therefore, the function that has the {y} - intercept as that of the function graphed is y = 2x + 3.
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Find the slope of the line y=1/3x+3/2
Answer:
1/3
Step-by-step explanation:
The slope is 1/3
Answer:
slope:1/3
y intercept(just an extra!):(0,-3)
Step-by-step explanation:
Hope I could help! Stay safe and drink water<3
Water freezes at 0 degrees Celsius, which is the same as 32 degrees Fahrenheit. Also water boils at 100 degrees Celsius, which is the same as 212 degrees Fahrenheit. (Use fractions in your answers.)
(a) Use the freezing and boiling points of water to find a formula expressing Celsius temperature C as a linear function of the Fahrenheit temperature F.
I saw the same question but it kept saying the answers were wrong, so
The required equation which represents the expression of Celsius temperature as a linear function of the Fahrenheit temperature is; C = (9/5)F - 57.6.
What is the linear equation expressing the Celsius temperature in terms of the Fahrenheit?It follows from the task content that the linear equation which relates both the Celsius and Fahrenheit temperature is to be determined.
On this note, the two points which can be inferred to describe the linear relationship are;
(32, 0) and (212, 100)
Hence, the slope of the linear equation;
m = (C2 - C1)/(F2 - F1)
m = (212 - 32)/(100 - 0)
m = 180/100
m = 9/5
Hence, from the point-slope equation form; (y-y1) = m (x -x1).
We have; (C - 0) = (9/5) (F - 32)
C = (9/5)F - 57.6
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please help me asap
NEED HELP ASAP
WILL GIVE BRAINLIEST
(DO NOT JUST TAKE POINTS OR I WILL REPORT YOU!!)
Matt owes his sister $300. He mows lawn’s after school and on the weekends. He charges $30 a lawn, but pays his friend Steven $10 to help. Matt plans to repair his sister with half of what he earns on each lawn mowed. Which statements are correct?
A) Matt has to mow 15 lawns to pay back $100 to his sister
B) The explicit expression for the situation is 300+10x
C) Matt will have to mow 30 lawns to pay $300 back to his sister
D) Matt reduces his debt to his sister by $10 each lawn he mows
E) This situation can be expressed recursively as Sn=Sn-1-10,S0=300
Answer:
it is c and d
Step-by-step explanation:
if he pays his friend 10 out of the 30 he has 20 left, then he repays his sister half of what get gets from each lawn, therfore he gives her 10 each lawn, the rest is self explanitory
Pleaseee help ASAP it’s due in 10 minutes
Answer:
y= 3x + 6
Step-by-step explanation:
y = mx + b
m = slope
b= y intercept
so the equation is y= 3x + 6
Hope this helps, if so please mark brainlist, peace and love
40) Jose and Eugene each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store. Jose spent $70 on 7 rose bushes and 4 geraniums. Eugene spent $50 on 6 rose bushes and 2 geraniums. Find the cost of one rose bush and the cost of one geranium
A) rose bush: $7, geranium: $9
B) rose bush: $6, geranium: $7
C) rose bush: $7, geranium: $5
D) rose bush: $8, geranium: $11
Answer:
I need points bro
Step-by-step explanation:
Answer: B) rose bush: $6, geranium $7
Step-by-step explanation:
Jose spent $70 on 7 rose bushes and 4 geraniums.
( 7 x $6 = $42 ) ( 4 x $7 = $28 )
$42+$28= $70
Eugene spent $50 on 6 rose bushes and 2 geraniums.
( 6 x $6 = $36 ) ( 2 x $7 = $14 )
36+14 =50
the difference between eight and twice a number x is four
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]Let\ the\ number\ be\ x\\Hence,\\8-2x=4\\-2x=4-8\\-2x=-4\\x=\frac{-4}{-2} \\x=\frac{4}{2} \\x=2[/tex]
Answer:
Yes
Step-by-step explanation:
2 x 4 = 8
8 / 4 = 2
The equation 20 + 5x = y represents the amount of money in a bank
account, y, after x weeks of deposits. Which equation represents the
same equation, solved for x
Answer:
B
Step-by-step explanation:
Points C and D are on a number line (not shown).
The coordinate of point C is -16 and the coordi-
nate of point D is 14. Point E is a point on line
segment CD. If the distance from point E to point
C is 1/4 the distance from point E to point D, what is
the coordinate of point E?
=============================================================
Explanation:
I recommend drawing out the number line. Plot -16 and 14 on it.
Either count out the spaces, or subtract and apply absolute value, to find the distance from -16 to 14 is exactly 30 spaces.
----------
Or you can think of it like this:
From -16 to 0 is 16 spaces
From 0 to 14 is another 14 spaces
That's 16+14 = 30 spaces total.
----------
In short, segment CD is 30 units long.
Point E is somewhere on segment CD.
x = distance from E to C
y = distance from E to D
x+y = EC+ED = CD = 30
x+y = 30
y = 30-x
We're told the distance from E to C is 1/4 the distance from E to D, so,
x = (1/4)*y
x = (1/4)*(30-x)
x = 0.25*(30-x)
x = 7.5 - 0.25x
x+0.25x = 7.5
1.25x = 7.5
x = (7.5)/(1.25)
x = 6
The distance from E to C is 6 units.
This means we'll add 6 units to the location of point C to find out where to place E
E = C+6 = -16+6 = -10 is the final answer
Simplify this expression: -5(c-3d + 1)
Answer:
-5c + 15d - 5
Step-by-step explanation:
1. Distribute the -5 from outside the paranthesis to the inside.
2. Keep in mind the negative signs when you're distributing.
Answer:
-5c + 15d - 5
Step-by-step explanation:
= (-5)(c + -3d + 1)
= (-5)(c) + (-5)(-3d) + (-5)(1)
= -5c + 15d - 5