Answer:
Marissa = 28 cakes in 2 weeks
Carlos = 60 cakes in 20 days
Shelby = 5 cakes in 2 days
To compare, make sure that the variables are of equal value
Marissa = 28 cakes in 14 days
Carlos = 60 cakes in 20 days
Shelby = 5 cakes in 2 days
How many cakes does each of them bake in a day?
Marissa = 28 ÷ 14
= 2 cakes/day
Carlos = 60 ÷ 20
= 3 cakes/day
Shelby = 5 ÷ 2
= 2.5 cakes/day
Carlos has the steepest graph. This is because he has the largest number of cakes made per day compared to Marissa and Shelby.
1. If you drink milk, then you grow?
Answer:
false
Step-by-step explanation:
we can drink water and still grow
Jay decides to take out a $12,000 student loan during his first year in college. If he is charged 4.5% interest that is compounded annually, how much will the total loan amount equal in four years when he graduates?
Answer:
2,160.00
Step-by-step explanation:
okay so first we have to find 4.5% of 12,000
which is 540, then multiply 540 by the four years and
540 x 4 = 2,160.00
The total loan amount would be equal to $14,310 in four years when Jay graduates.
Given the following data:
Principal = $12,000Interest rate = 4.5%Time = 4 yearsTo determine how much (future value) the total loan amount would equal in four years when he graduates:
Mathematically, compound interest is given by the formula:
[tex]A = P(1 + r)^{t}[/tex]
Where;
A is the future value.P is the principal or amount borrowed.r is annual interest rate.t is the number of years for the compound interest.Substituting the given parameters into the formula, we have;
[tex]A = 12000(1 + 0.045)^{4}\\\\A=12000(1.045)^{4}\\\\A=12000(1.1925)[/tex]
Future value, A = $14,310
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Solve for x using common denominators. 3 over the quantity 5 times the binomial x minus 4 equals x over the quantity x minus 4 −5 over 3 5 over 3 −3 over 5 3 over 5
Answer:
(d) 3/5
Step-by-step explanation:
The equation ...
[tex]\dfrac{3}{5(x-4)} =\dfrac{x}{x-4}[/tex]
can be rewritten so that each side has the same denominator. Then the solution can be found by equating the numerators.
[tex]\dfrac{3/5}{x-4} =\dfrac{x}{x-4}\\\\\boxed{\dfrac{3}{5} =x}[/tex]
_____
Additional comment
"Equating the numerators" is equivalent to multiplying both sides by the common denominator. Of course, any value of the variable that makes the denominator zero is excluded from the solution set.
Solve for n in the equation 39 x 5 = n x 15. 13 15 17 19
Answer:
n=13
Step-by-step explanation:
39*5=15n
195=15n
13=n
What is the equation in vertex form of a parabola with vertex (2, 4) that opens downward and is stretched by a factor of 3?
Answer:
[tex]y=-\frac{1}{3}(x-2)^2+4[/tex]
Step-by-step explanation:
Vertex form of a parabola is [tex]y=a(x-h)^2+k[/tex] with the vertex being [tex](h,k)[/tex] and the vertical stretch or shrink factor as [tex]a[/tex].
Therefore, the correct equation is [tex]y=-\frac{1}{3}(x-2)^2+4[/tex]
The equation in vertex form of the downward-opening parabola with vertex (2, 4) that is stretched by a factor of 3.
The vertex form of a downward-opening parabola is given by:
y=a(x-4)²+k
Where (h, k) is the vertex of the parabola.
The vertex is (2, 4), and the parabola is stretched by a factor of 3. The negative sign in front of "a" indicates that the parabola opens downward.
So, we have:
Vertex: (h, k) = (2, 4)
Stretched factor:
a=-3
Now plug these values into the vertex form equation:
y=-3(x-2)²+4
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Please help me on this math problem
Answer:
A
Step-by-step explanation:
Benjie's line is a better fit because it has a lower value of least square residual, which measures how far on average each point is from the line.
PLSS HELP whats 4.922 rounded to the nearest hundredth PLS
Answer:
4.92
Step-by-step explanation:
Answer: 4.92
Step-by-step explanation:
To round a three decimal integer like 4.922, you look at the trailing digit or last decimal (2) in this case.
Then determine if greater or less than 5. If greater or equal to 5, remove last digit 2 and then add 1 to the number before (2) or 2nd decimals place.
So we have 4.922 with last decimals being 2.
Therefore, we do not add and keep last decimals before the same.
Answer is 4.92
What is the slope-intercept equation of the line below?
5
17
5
O A. y= 2x-3
O B. y=-2x+3
V
O C. y= 2x+3
O D. y=-2x-3
Answer:
Step-by-step explanation:
a
If the ratio of a to y is 2:5 and y is always 30% of z, then for all possible nonzero values
of x, y and z, x/z =
Answer: 3/25
Step-by-step explanation:
You are given a picture that is 2 inches wide and 3 inches tall. You have to make a
poster that is 12 inches wide. How many inches tall would the poster be? *
O 10 inches
12 inches
15 inches
O 18 inches
Answer: 18 inches
Step-by-step explanation:
2 x 6 = 12 inches (wide)
3 x 6 = 18 inches (tall)
solve using the quadratic formula:
3x=2x^2-2
Answer:
[tex]x=2\\x=-\frac{1}{2}[/tex]
Step-by-step explanation:
1) Move terms to the left side.
[tex]3x=2x^{2} -2\\3x-(2x^{2}-2)=0[/tex]
2) Distribute.
[tex]3x-(2x^{2} -2)=0\\3x-2x^{2} +2=0[/tex]
3) Rearrange terms.
[tex]3x-2x^{2} +2=0\\-2x^{2} +3x+2=0[/tex]
4) Common factor.
[tex]-2x^{2} +3x+2=0\\-(2x^{2} -3x-2)=0[/tex]
5) Divide both sides of the equation by the same term.
[tex]-(2x^{2} -3x-2)=0\\2x^{2} -3x-2=0[/tex]
6) Use the quadratic formula.
[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
[tex]2x^{2} -3x-2=0\\a=2\\b=-3\\c=-2[/tex]
[tex]x=\frac{-(-3)+\sqrt{(-3)^{2} -4*2(-2)} }{2*2}[/tex]
7) Simplify.
Evaluate the exponent
[tex]x=\frac{3+\sqrt{(-3)^{2}-4*2(-2) } }{2*2}[/tex]
[tex]x=\frac{3+\sqrt{9-4*2(-2)} }{2*2}[/tex]
Multiply the numbers
[tex]x=\frac{3+\sqrt{9-4*2(-2)} }{2*2}[/tex]
[tex]x=\frac{3+\sqrt{9+16} }{2*2}[/tex]
Add the numbers
[tex]x=\frac{3+\sqrt{9+16} }{2*2}[/tex]
[tex]x=\frac{3+\sqrt{25} }{2*2}[/tex]
Evaluate the square root
[tex]x=\frac{3+\sqrt{25} }{2*2} \\x=\frac{3+5}{2*2}[/tex]
Multiply the numbers
[tex]x=\frac{3+5}{2*2}[/tex]
[tex]x=\frac{3+5}{4}[/tex]
8) Seperate the equations.
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
[tex]x=\frac{3+5}{4}[/tex]
[tex]x=\frac{3-5}{4}[/tex]
9) Solve.
Rearrange and isolate the variable to find each solution.
[tex]x=2\\x=-\frac{1}{2}[/tex]
Consider these functions:
х
g(x)
h(x)
0
0 0
NO
6
What is the value of x when gh(x)) = 4?
O A 0
OB. 2
OC. 4
OD 5
Please help with this I will mark you as brainliest
Answer:
The answer is t = 0.25
Step-by-step explanation:
Answer:
t = 0.25
Step-by-step explanation:
The circumference of a circle is 12.56 feet. What is the circle's area?
[tex]\huge \sf༆ Answer ༄[/tex]
As we know, Circumference of the circle can be expressed as :
[tex] \large \boxed{ \: \: \: \: \: \sf2\pi r \: \: \: \: \: }[/tex]
where, r is the radius of the circle, now equate the expression with the given Circumference to find the Radius.
[tex] \sf2\pi r = 12.56[/tex][tex] \sf \: r = \dfrac{12.56}{2\pi} [/tex][tex] \sf \: r = \dfrac{12.56}{2 \times 3.14} [/tex][tex] \sf \: r = \dfrac{12.56}{6.28} [/tex][tex] \sf \: r = 2 \: \: ft[/tex]Therefore, it's radius is 2 feet.
Now, let's calculate its area using the formula ~
[tex] \large \boxed{ \: \: \: \: \: \: \sf \pi {r}^{2} \: \: \: \: \: \: }[/tex]
plug the value of r (radius) as 2.
[tex] \sf3.14 \times {2}^{2} [/tex][tex] \sf3.14 \times 4[/tex][tex] \sf12.96 \: \: ft {}^{2} [/tex]Area of circle is 12.96 ft²
Which equation represents a proportional relationship?
y = 40 +1
y = 2 + 4
y = -4
What are three solutions of the inequality 29x+4<76?
=》29x + 4 < 76
=》29x < 76 - 4
=》29x < 72
=》x < 72/29
____
Hope it helps ⚜
[tex]29x +4 <76 \\\\\implies 29x < 76-4\\\\\implies 29x< 72\\\\\implies x<\dfrac{72}{29}\\\\\\\text{Decimal,} ~~~x<2.49\\\\\text{Interval,}~~ \left(-\infty, \dfrac{72}{29} \right)\\\\[/tex]
The height y, in feet, of a football x seconds after it is thrown is modeled by the equation y = â€"16x2 24x 1. What information does the zero of the equation 6 = â€"16x2 24x 1 represent? the height of the ball after 6 seconds when the ball is 6 ft above the ground the initial upward velocity of the ball the horizontal distance traveled by the ball when it is 6 ft above the ground.
The zero of the equation [tex]6 =- 16x^2+24x+1[/tex] represents the moment when the ball is 6 ft above the ground.
Given that,
The height y, in feet, of a football x seconds, after it is thrown is modeled by the equation,
[tex]\rm y=- 16x^2+24x+1[/tex]
We have to determine,
What information does the zero of the equation [tex]6 =- 16x^2+24x+1[/tex]represent?
According to the question,
In the quadratic equation for the ball's height, it is found that the zero of the equation represents,
[tex]\rm 6 =- 16x^2+24x+1[/tex]
The instant of the time x is when the ball is 6 ft above the ground.
The height of the ball is y(x), after x seconds, is modeled by:
[tex]\rm y =- 16x^2+24x+1[/tex]
The equation given is,
[tex]\rm y =- 16x^2+24x+1[/tex]
In which the height is 6 feet above the ground, and the zeroes are the instants of time when the ball is 6 ft above the ground.
Hence, These points represent the moment when the ball is 6 ft above the ground.
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How can i find the answer to this?
Answer:
Step-by-step explanation:
by the property of corresponding angles (2x +16) and (3x-12) will be equal
working uot from the equation 3x-12 = 2x+16 we get x=28
and we know that 3x-12 and y are supplementry as they form a linear pair
from that we will get the equation - 3x-12 + y = 180 and we know the value of x sowe will get y as 108
Divide £520 in the ratio 6:7
The ratio of the number 520 in 6: 7 will be 240: 280.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that the number 520 is divided into the ratio 6: 7.
The number in the ratio 6:7 will be divided as;-Let the constant term for the ratio is x now form an equation and solve.
6x + 7x = 540
13x = 540
x = 540 / 13
x = 40
6x = 40 x 6 = 240
7x = 7 x 40 = 280
Therefore, the ratio of the number 520 in 6: 7 will be 240: 280.
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A scatterplot is used to display data for a runner where x is the number of miles run, and y is the time, in minutes, that it takes to run that distance. Which interpretation describes a line of best fit of y = 9. 5x for the data in the scatterplot? For each 1 minute, the runner ran 9. 5 miles. For each 9. 5 minutes, the runner ran 1 mile. The minimum distance with a recorded time is 9. 5 miles. The maximum distance with a recorded time is 9. 5 miles.
The interpretation that describes a line of best fit of y = 9.5x for the data in the scatterplot is (a) For each 1 minute, the runner ran 9.5 miles
The equation of the line of best fit is given as:
[tex]y = 9.5x[/tex]
The line of best fit is represented as:
[tex]y = mx + b[/tex]
Where m represents the rate or slope.
So, by comparison:
[tex]m = 9.5[/tex]
This means that, the number of miles travelled every minute is 9.5
Hence, the true statement is (a)
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120% of what number is 102
Answer:
122.4 i think
Step-by-step explanation:
If $7.80 if for 6 pairs of socks then how much is 1 pair of socks
Answer:
One pair of socks would be 1 dollar and 30 cents
Step-by-step explanation:
you divide the price of the socks by how many socks there are to get the answer.
HELP PLEASE!!!!!!!!!
Answer:
-1/4
Step-by-step explanation:
please mark brainliest
Complete the sentence.
Twenty-four is % of 80.
Answer: 24 of 80 is 30%
Step-by-step explanation:
24 of 80 can be written as: 24/80
To find percentage, we need to find an equivalent fraction with denominator 100. multiply both numerator & denominator by 100: 24/80 x 100/100
= (24x100 / 80 ) x 1/10 = 30/100
Therefore, the answer is 30%
If you are using a calculator, simply enter 24÷80×100 which will give you 30 as the answer.
can somebody please tell me if this is correct or not
Answer:
I would have done it the same way. Believing it is correct.
Step-by-step explanation:
Answer: Looks precise
Step-by-step explanation:
Use the associative property to simplify the expression.
43 +30 + 70
O A. 43 + 10(3 + 7) = 43 + 10(10) = 143
O B. 43+ (30 + 70) = 43 + 100 = 143
O C. 43 + 30 + 70 = 73 + 70 = 143
O D. 43 + 70 + 30 = 113 + 30 = 143
Answer:
the answer is 143 cus u add throw
through
pls help Pls no links
Hey there!
3^15/ 3^3
3^15
= 3*3*3*3*3*3*3*3*3*3*3*3*3*3*3
= 9*9*9*9*9*9*9*3
= 81*81*81*27
= 6,561 * 2,187
= 14,348,907
= 14,348,907/3^3
3^3
= 3*3*3
= 9*3
= 27
14,348,907/27
= 531,441
15 - 3 = 12
= 3^12
Because
3^12
= 3*3*3*3*3*3*3*3*3*3*3*3
= 9*9*9*9*9*9
= 81*81*81
= 6,561*81
= 531,441
531,441 ≈ 3^12
Therefore, your answer should be: 3^12
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
the best season for the new york mets basball team was 1986. they won 2/3 of the games they played and won the world series, beating the boston red sox. if the mets played 62 gmaes, how many did they win?
Answer: do 2/3 of 62, or 2/3 x 62
convert 2/3 to a decimal (0.666)
0.666x62 = 41.292
Step-by-step explanation:
Rhian sat at a maths test and an English test
In the Maths test she scored 14 out of 17
In the English test she scored 31 out of 39
In which test did she do better
Answer: She did better in the Math test
Step-by-step explanation:
find the ratios of each by saying 14/17 = 0.82 then multiply by 100 to see it from 100 then you will get 82%
Now do the same thing for the other:
31/39 = 0.79 x 100 = 79%
In the end she got better in the math test!
Hope that helps :)
Tammy’s home cost her $184,000. She lives in an area with a lively real estate market, and her home increases in value by 3. 5% every year. If Tammy sells her home after thirteen years, how much profit will she have made, to the nearest hundred dollars? a. $8,500 b. $87,800 c. $83,700 d. $103,800.
The profit to be made when she sells the house is $103,800.
The first step is to determine the value of Tammy's house in 13 years. The formula to be used is:
FV = P (1 + r)^n FV = Future value P = Present value R = interest rate N = number of years$184,000 x (1.035)^13 = $287,767.92
Profit = value of the house in 13 years - cost of the house
$287,767.92 - $184,000 = 103,767 = $103,800
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