Answer:
x = 25
Step-by-step explanation:
You would need to start by creating an equation. X would represent the numbers of weeks.
500 + 30x = 750 + 20x
Now get the numbers on one side. To do this subtract 500 form each side.
30x = 250 + 20x
Next, get the variables to one side. This can be done by subtracting 20x from each side.
10x = 250
Finally divide by 10 to get the variable by its self.
x = 25
Hope this helps.
After 25 weeks, Collin and Kamryn have the same amount of
money in their accounts.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the after x weeks, Collin and Kamryn have the same amount of money in their accounts:
Then we can frame a linear equation as per the problem:
Collin's amount of money = 500 + 30x
Kamryn amount of money = 750 + 20x
500 + 30x = 750 + 20x
10x = 250
x = 25
Thus, after 25 weeks Collin and Kamryn have the same amount of
money in their accounts.
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for an unknown polynomial function p(x),p(2)+4=4, which binomial is a factor of p(x)?
Answer:i think it is 0
Step-by-step explanation:
You can use the fact that if (x-root) is a factor of a single variable polynomial function p(x) = 0
A binomial factor of p(x) is (x-2)
How to get factor of a single variable polynomial function if we know its one of the roots?Let its root be x = k
Then we have one of the factor of polynomial as (x-k)
What is a root of a single variable polynomial function p(x) ?Root of a polynomial function p(x) is a value of x such that putting that value in place of x makes the output 0.
Thus, if x = k is a root of the polynomial p(x), then
p(k) = 0
How to get a factor of the considered polynomial function?Since it is given that
p(2) + 4=4
thus,
p(2) = 4-4 = 0
Thus, x = 2 is a root of the polynomial function, and thus, using the aforesaid conclusions, we have (x-2) as one of the factors of the considered polynomial function.
Thus,
A binomial factor of p(x) is (x-2)
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Jake paid 13.50$ for admission to the country fair and bought 9 tickets to play games. If he spent a total of $36, what is the cost,c, of one ticket?
Chicken costs $3.20 per pound, and beef costs $4.59 per pound. How much more does 3 pounds of beef cost than 3 pound of chicken?
To find the difference, first calculate how much 3 pounds of each meat costs.
$3.20 × 3 = $9.60 for 3 pounds of chicken
$4.59 × 3 = $13.77 for 3 pounds of beef
Now, take the difference.
$13.77 - $9.60 = $4.17
Answer:3 pounds of beef costs $4.17 more than 3 pounds of chicken.
Answer:
3 pounds of beef costs $4.17 more than 3 pounds of chicken
Step-by-step explanation:
Can someone help me with this math q?
Option A:
Lateral surface area = 1319 cm²
Solution:
Given image is the cone.
Radius of the cone = 15 cm
Slant height = 28 cm
Value of π = 3.14
To find the lateral surface area of the cone:
Lateral surface area = [tex]\pi r l[/tex]
[tex]=3.14\times 15\times28[/tex]
= 1318.8 cm²
Change this to nearest whole unit.
Lateral surface area = 1319 cm²
Hence the lateral surface area of the cone is 1319 cm².
Option A is the correct answer.
Write an expression that is equivalent to the following expression by factoring out the GCF 16y+18m
Answer:
2(8y+9m)
Step-by-step explanation:
13,500 deposit earning 3.3% compound monthly after 1 year
Answer:
$13,952.30
Step-by-step explanation:
refer to attached graphic
the formula for compound interest is given as
A = P [ 1 + (r/n) ] ^ (nt)
where
A = final amount (we are asked to find)
P = principal amount = $13,500
r = rate = 3.3% = 0.033
n = 12 (compounded monthly)
t = 1 year
substituting these values into the equation
A = 13500 [ 1 + (0.033/12) ] ^ [(12)(1)]
A = 13500 [ 1 + 0.00275 ] ^ 12
A = 13500 [1.00275 ] ^ 12
A = 13500 (1.0335)
A = $13,952.30
The balance on a $13,500 deposit earning 3.3% and compound monthly after 1 year is equal to $13,952.30.
How to determine the future value after 1 year?In Mathematics and Financial accounting, compound interest can be calculated by using the following mathematical equation (formula):
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where:
A represents the future value.n represents the number of times compounded.P represents the principal.r represents the interest rate.t represents the time measured in years.By substituting the given parameters into the formula for compound interest, we have the following;
[tex]A(1) = 13500(1 + \frac{0.033}{12})^{12 \times 1}\\\\A(1) = 13500(1.00275)^{12}[/tex]
Future value, A(1) = $13,952.30.
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Complete Question;
Find the balance in each account after the given period. $13,500 deposit earning 3.3% compound monthly after 1 year.
Which of the following models can be used to find the product of (2x + 1)(x + 6)?
A
2x(x + 6) – 6(x + 1)
B
2x(x – 6) + 1(x – 6)
C
x(x – 6) + 2x(x – 6)
D
x(2x + 1) + 6(2x + 1)
Answer: No, it D
Step-by-step explanation: i choose c but it was wrong, it d
What are the values of m∠ABC, m∠CBF, m∠ABD and m∠DBE in the given figure? Explain or show your work.
The given figure is missing so I attached it below
m∠ A B C = 72°
m∠ F B C = 108°
m∠ A B D = 90°
m∠ D B E = 18°
Step-by-step explanation:
Vertical opposite angles formed from intersecting of two lines in a point, they are equal in measuresA pair of linear angles formed from intersecting a ray and a line in a point, the sum of their measures is 180°∵ Lines A F and C E are intersected at point B
∴ ∠ A B C and ∠ F B E are vertical opposite angles
- That mean they are equal in measures
∴ m∠ A B C = m∠ F B E
∵ m∠ F B E = 72°
∴ m∠ A B C = 72°
∵ Ray F B and line E C are intersected at B
∴ ∠ C B F and ∠ F B E formed a pair of linear angles
- Their measures is 180°
∴ m∠ C B F + m∠ F B E = 180°
∵ m∠ F B E = 72°
∴ m∠ C B F + 72 = 180
- Subtract 72 from both sides
∴ m∠ C B F = 108°
∵ Ray B D ⊥ to line A F
- That mean ∠ A B D and ∠ F B D are formed a pair of linear
angles equal in measures, then their measures is 180 ÷ 2 = 90
∴ m∠ A B D = m∠ F B D = 90°
∴ m∠ A B D = 90°
∵ Ray B E divides ∠ D B F into two angles D B E and F B E
∵ m∠ F B D = 90°
∴ m∠ D B E + m∠ F B E = 90°
∵ m∠ F B E = 72°
∴ m∠ D B E + 72 = 90°
- Subtract 72 from both sides
∴ m∠ D B E = 18°
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3 brothers have 58 years in total. How old is the youngest brother if 3/4 of his age equals to 2/3 of middle brother's age and 3/4 of youngest brother's age equals to half of oldest brother's age?
Step-by-step explanation:
Let O represents older brother
M represents middle brother
& Y represents younger brother.
Therefore, according to the given condition:
[tex] \frac{3}{4} y = \frac{2}{3} m = \frac{1}{2} o \\ \\ \therefore \: \frac{3}{4} y = \frac{2}{3} m \\ \implies \: m = \frac{3}{2} \times \frac{3}{4} y = \frac{9}{8} y \\ \\ next \: \: \frac{3}{4} y = \frac{1}{2} o \\ \implies \: o = \frac{2}{1} \times \frac{3}{4} y = \frac{3}{2} y \\ \\ \because \: o + m + y = 58 \\ \\ \therefore \: \frac{3}{2} y + \frac{9}{8} y + y = 58 \\ \\ \therefore \: \frac{12}{8} y + \frac{9}{8} y + \frac{8}{8} y = 58 \\ \\ \therefore \: \frac{29}{8} y = 58 \\ \\ \therefore \: y = 58 \times \frac{8}{29} \\ \\ \therefore \: y = 2 \times 8 \\ \\ \therefore \: y = 16 \: years[/tex]
Thus youngest brother is 16 years old.
Family room measures 23 feet by 28 feet. They are covering the floor with tiles that measure 1 foot on a side and cost $0.94 each. How many will they spend on the tile?
Answer:
$605.36
Step-by-step explanation:
They will spend 644* 0.94 = 605.36
Sure you can write in one line
23*28*0.94 = $605.36
two fifths of twenty
Answer:
8
Step-by-step explanation:
2/5*20= 8
You can use the attachment above ^^
Answer: It would Be 8
Step-by-step explanation:
You would just multiplie
2/5 x 20
So 2x20/5= 40/5
Then simplify to 8
If there are 6 hours in a school day, 5 school days in a week, 4 school weeks in a
month and 9 months in a school year, how many hours are there in a school
years
Answer:
1080hrs
Step-by-step explanation:
[tex] \frac{6hr}{1day} \times5 \frac{days}{week} [/tex]
days cancel, redefine week as =5days
[tex] \frac{30hr}{1week} \times 4 \frac{weeks}{month} [/tex]
weeks cancel redefine 4 weeks = 1 month
[tex] \frac{120hr}{1month} \times 9 \frac{month}{1year} [/tex]
months cancel, redefine 9months= 1years
[tex] \frac{120 \times 9}{1year} [/tex]
1080hrs per year (if I mathed 120x9 correctly that is, I didn't use a calculator so please double check that 120x9=1080)
Answer: 1080 hours
Step-by-step explanation:
Complete the function table using the function rule f(x)=5x and answer the following questions
Graph -5x-4=10 help me
This is the graph:
-5x=14
x=-2.8
The sum of two numbers is 76 and their difference is 54. Find each of the numbers.
Answer:
The numbers are 11 and 65
Step-by-step explanation:
11 + 65 = 76
65 - 11 = 54
Simplify:
{[(16 ÷ 4) × (2 × 6)] ÷ 6} + 4 =
Answer:
12
Step-by-step explanation:
divided 16 by 4 which is 4. then multiply 2 by 6, which is 12. then multiply 4 by 12. Remember to always do ( ) first. 4 by 12 is 48. Then do 48 divided by 6 which is 8. then add 8+4 which is 12.
90 km is 8% of what distance
Valentine's day cards cost 3/4 of dollars Emily has $20 she has to buy 20 cards for her class how much money will she be left with
Answer:
$5
Step-by-step explanation:
3/4 is the same as .75;
.75•20=15
20-15=5
When the expression 3(n + 7) is evaluated for a given value of n, the result is 33. What is
the value of n?
Answer:4
Step-by-step explanation:What +7=11 bause the () make a multiplication and 11x3=33
Answer:
n=4
Step-by-step explanation:
3(n+7)=33
Lets mulitply..
3n+21=33
Then we need 3n alone...
To do this subract 21 from 33 and you get 12.
3n=12
Divide 3n by 3 and 12 by 3.
n=4
Ticketmaster charges $95 for Ariana
Grande's concert. They also charge
a surplus fee for services of $11.
Write a linear equation for the cost
of a ticket to see Ariana Grande's
Concert through Ticketmaster.
14)
Slope:
Y-Intercept
Equation:
The slope is the price of a ticket = 95
The y intercept is the service fee = 11
The equation would be multiplying the price of a ticket (slope) by the number of tickets being purchased (x) and then add the service fee ( y intercept)
Equation: f(x) = 95x + 11
Answer:
The slope is the price of a ticket = 95
The y intercept is the service fee = 11
The equation would be multiplying the price of a ticket (slope) by the number of tickets being purchased (x) and then add the service fee ( y intercept)
Equation: f(x) = 95x + 11
Math, ,,,,,,,,,,,,,,,,,,,,
Answer:
the Answer here is A
Step-by-step explanation:
Find the Center and the radius of the circle
x2 + y2 - 6x + 8y- 7 = 0.
Final answer:
The center of the circle is (3, -4) and the radius is approximately 5.66 units.
Explanation:
To find the center and radius of the given circle, we need to rewrite the equation in the standard form of the equation of a circle. The standard form is: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius.
So, let's complete the square for both x and y terms in the given equation:
(x^2 - 6x) + (y^2 + 8y) = 7
(x^2 - 6x + 9) + (y^2 + 8y + 16) = 7 + 9 + 16
(x - 3)^2 + (y + 4)^2 = 32
Now we can see that the center of the circle is (3, -4) and the radius is √32 or approximately 5.66 units.
Fifty people were surveyed about their favorite flavor of frozen yogurt. The results of the survey are displayed in the circle graph. How many people prefer banana?
Answer:
2
Step-by-step explanation:
4 divided by 2 equals 2
Answer:
3
Step-by-step explanation:
Which of the following represents the sum of the series? 6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26
Answer:
the awnser is A I just got it right
PLEASE HELP (answer only if you know it) step by step pleaseeeeeeeeeeeeee
Step-by-step explanation:
Given the coordinate of C is (-3,1) and D is (5,6)
The length of a line segment [tex]\bar {AB}[/tex]with endpoint A at [tex](x_1,y_1)[/tex] and endpoint B at [tex](x_2,y_2)[/tex] is = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Here [tex]x_1=-3 ,y_1=1[/tex] and [tex]x_2=5,y_2=6[/tex]
Therefore the length of a line segment [tex]\bar {CD}[/tex] is [tex]\sqrt{(5+3)^2+(6-1)^2}[/tex]
=[tex]\sqrt{89}[/tex] units
=9.43 units
Ronnie charged his customers a flat fee of $25 to fix computers computers.Then he charge $30 for each hour that he spent fixing the computer. If Ronnie made $175 off of his first customer how many hours did he spend working.
Answer:$200
Step-by-step explanation:
Answer:
7.5 Step-by-step explanation: Ronnie charges $25 plus $20 per hour. This means that he made the following depending on how many hours he spent on it: Hours Dollars 0 25 = 25 + 0(20)=25 1 25+20 = 25 + 1(20)=45 2 25+20+20 = 25 +2 (20)=65 3 25+20+20+20 = 25 +3 (20)=85 4 25+20+20+20+20 = 25 +4 (20)=105 5 25+20+20+20+20+20 = 25 +5 (20)=125 n 25+n(20)=175 To find how many hours he worked for $175 we solve the equation using inverse operations: 25+n(20)=175 25-25+n(20)=175-25 n(20)=150 n= 7.5 hoursAnnabella has a cup of raisins. She gave equal portions of 1/2 cups of the raisins to her for siblings which diagram could Annabella used to find the fraction of the love the each sibling receives
Answer:1/4
Step-by-step explanation:
Given f(x)=3x+3, solve for x when f (x) = 6.
Answer:
x=1
Step-by-step explanation:
hello :
3x+3 =6
means : 3x+3-6 =6-6
3x -3 =0
add 3 : 3x = 3 divid by 3 : x=3/3=1
The required simplified value of the x for which the function gives f(x) = 6 is given as x = 1.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given function,
f(x)=3x+3,
Since we have given f(x) = 6, we have to determine the value of x for which the function gives 6,
Now,
f(x)=3x+3
Substitute f(x) = 6
6 =3x + 3
3x = 6 - 3
3x = 3
x = 1
Thus, the required simplified value of the x for which the function gives f(x) = 6 is given as x = 1.
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Are these equations infinite solution, no solution, or one solution?
1: -14-8x=-2(-3x+7)
2: 3+5x=5(x+2)-7
3: 36-7x=-7(x-5)
Answer:
1) one solution
2) Infinitely many solution
3) no solution
Step-by-step explanation:
The first equation is -14-8x=-2(-3x+7)
Let us expand the right hand side to get:
-14-8x=-2*-3x+-2*7
We multiply -14-8x=6x-14
We group similar terms to get:
-8x-6x=-14+14
Combine similar terms to get:
-14x=0
Divide through by -14 to get:
x=0
2) The second equation is 3+5x=5(x+2)-7
We expand to obtain:
3+5x=5x+5*2-7
Multiply to get:
3+5x=5x+10-7
This gives us
3+5x=5x+3
5x=5x
1=1
There is infinitely many solutions
3) The third equation is: 36-7x=-7(x-5)
We expand to get:
36-7x=-7x+35
Group similar terms;
-7x+7x=35-36
0=-1
This statement is not true so there is no solution.
A __________ guarantees that there is one and only one output for every input.
Answer: y intercept
Step-by-step explanation: