Answer:
5 = 6у; y = 5/6
5/3 + x = 2; x = 1/3
0.5x = 14; x =28
7/2 = 4x; x = 7/8
5/6x = 20; x = 24
9 = 4y; y =9/4
Jack borrows $2,700 at a rate of 8.2% per year. How much simple interest will he owe if it takes 3 months to repay the loan? Round to the nearest cent.
Answer: $55.35
Step-by-step explanation:
The simple interest on $2700 at a rate of 8.2% per year for 3 months will be $55.35.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.
Given that,
Jack borrows $2,700 at a rate of 8.2% per year.
Principle amount P = 2700
Rate of interest = 8.2% per year
Rate of interest per month ⇒ 8.2/12 = 0.683%
The simple interest for the T time period is given by,
Interest = PRT/100
Interest = (2700 × 0.683 × 3)/100 = $55.35
Hence "The simple interest on $2700 at a rate of 8.2% per year for 3 months will be $55.35".
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Model With Mathematics Keisha is catering a
luncheon. She has $30 to spend on a mixture of
Cheddar cheese and Swiss cheese. How many
pounds of cheese can Keisha get if she buys
part only Cheddar cheese? Only Swiss cheese? A
mixture of both cheeses? What linear equation
in standard form can she use to model the
situation
Answer:
if she has to buy from a mixture of both the cheeses then equation will become;
N x C + M x S = 30
Explanation:
Let C represents the value of cheddar cheese per pound
Let S represents the value of swiss cheese per pound.
Equation when she only buys cheddar cheese will be;
N x C = 30,
Here N is the number of pounds of cheddar cheese
Equation when she only buys swiss cheese will be;
M x S = 30,
Here M is the number of pounds of swiss cheese
Now if she has to buy from a mixture of both the cheeses then equation will become;
N x C + M x S = 30
What is the first step in constructing the angle bisector of angle A?
Answer:
D)
Step-by-step explanation:
from point A, draw an arc that intersects both sides of the angle
From point A, draw an arc that intersects both sides of the angles. Thus, the correct option is D.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
An angle bisector is a line or ray that divides an angle into two equal parts. The angle bisector divides the angle into two smaller angles that have the same measure.
Thus, the correct option is D.
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Given the function f(x) = 9 - X, evaluate f (4).
A coordinate plane with a line passing through (negative 3, 2) and (0, 3)
Find the linear function represented by the graph.
The slope of the line is
✔ 1/3
The y-intercept of the line is at
✔ 3
What linear function is represented by the graph?
✔ f(x) = (1/3)x + 3
Let's check
[tex]\\ \sf\longmapsto Slope=m=\dfrac{3-2}{0+3}=\dfrac{1}{3}[/tex]
Y intercept is 3✓Now
let f(x) be y
[tex]\\ \sf\longmapsto y=mx+b[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{1}{3}x+3=f(x)\checkmark[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's find the slope (m) of given line :
[tex] \dfrac{y_2 - y_1}{x_2 - x_1} [/tex][tex] \dfrac{3 - 2}{0 - ( - 3 )}[/tex][tex] \dfrac{1}{3} [/tex]Hence, The slope of the line is
✔ 1/3
y - intercept (c) is the value of y, when x = 0
or y - coordinate of point at which the line
cuts y - axis.
that is : 3 ✔
the linear function represented by the graph is :
[tex]f(x) = \dfrac{1}{3} x + 3[/tex]Which statement can be represented by the equation 18 divided by m = 7.2?
Answer:
2.5
Step-by-step explanation:
the liter is the metric base unit of measurement for
Answer:
Volume
Step-by-step explanation:
Finally, the basic metric unit of volume is the liter. A liter is slightly larger than a quart. The handle of a shovel is about 1 meter.
Find the solution of the system of equation 2x+8y=4
6x-y=13
half of the apples in the basket are fuji. 1/3 are granny smith and the remaining 3 apples are pink lady. how many apples are in the basket?
Answer:
18
Step-by-step explanation:
1/2 = fuji 1/3 = smith
3/6 + 2/6 = 5/6 3 = 1/6 so 6 times 3 = 18 total apples
Solve: (i) 3/x-1 + 1/x-3 = 4/x-2.
Answer:
[tex]\longrightarrow\sf{ \dfrac{3}{x - 1} + \dfrac{1}{x - 3} = \dfrac{4}{x - 2}}[/tex]
[tex]\\ \longrightarrow\sf{ \dfrac{3(x - 3) + 1(x - 1)}{(x - 1) (x - 3)} = \dfrac{4}{x - 2}}[/tex]
[tex]\\ \longrightarrow\sf{ \dfrac{3x - 9 + x - 1}{x(x - 3) - 1(x - 3)} = \dfrac{4}{x - 2}}[/tex]
[tex]\\ \longrightarrow\sf{ \dfrac{3x + x - 9 - 1}{{x}^{2} - 3x - x + 3} = \dfrac{4}{x - 2}}[/tex]
[tex]\\ \longrightarrow\sf{ \dfrac{4x - 10}{{x}^{2} - 4x + 3} = \dfrac{4}{x - 2}}[/tex]
[tex]\\ \longrightarrow\sf{ (4x - 10) (x - 2) = 4({x}^{2} - 4x + 3)}[/tex]
[tex]\\ \longrightarrow\sf{4x ( x -2 ) - 10 (x - 2) = 4{x}^{2} - 16x + 12}[/tex]
[tex]\\ \longrightarrow\sf{4{x}^{2} - 8x - 10x + 20 = 4{x}^{2} - 16x + 12}[/tex]
4x² get cancelled on both sides .
[tex]\\ \longrightarrow\sf{ - 18x + 20 = - 16x + 12}[/tex]
[tex]\\ \longrightarrow\sf{ - 18x + 16x = 12 - 20}[/tex]
[tex]\\ \longrightarrow\sf{ -2x = - 8}[/tex]
[tex]\\ \longrightarrow\sf{ x = \dfrac{- 8}{-2}}[/tex]
[tex]\\ \longrightarrow\sf{ x = 4}[/tex]
At a robotics competition, first prize wins
$250.50, second prize wins $175.27, and third prize
wins $125.74. If Sawyer wins all three prizes, how
much money will he get?
Answer:
551.51
Step-by-step explanation:
Which is larger the diameter of a nucleus or the diameter of a protron?
Inside a nucleus are neutrons and protons, which occupy a space about 100,000 times smaller than the whole atom. In the pond example, a proton would measure about 1/50th inch (0.5 millimeters) in diameter—about the size of a pinpoint.
So the answer would be the diamter of a nucleus.
PLEASEEEEE HELPPPPP!!!! D: (picture explains questions)
Answer:
DCB ~ RST
JKL ~ JTU
Step-by-step explanation:
Solve for X…..
help plzzz i’ll give u brainliest
Answer:
x = 34
Step-by-step explanation:
4x and 44 are adjacent angles on a straight line and sum to 180° , that is
4x + 44 = 180 ( subtract 44 from both sides )
4x = 136 ( divide both sides by 4 )
x = 34
Help with 17,18,19,,20 and 21
Answer:
17. A positive slope moves upward on a graph from left to right. A negative slope moves downward on a graph from left to right.
18. Zero slope means that the line is horizontal. Just like the line that makes the top of a “Z” is horizontal. No slope means that the line is vertical.
19. Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values. The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2.
20. Yes, they did because 2/6 is equivalent to 1/3.
21. A negative slope means that two variables are negatively related; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls.
Answer please i need help
Which statement is true about the x-intercepts?
A) The x-intercept is 3.
B) The x-intercepts are –3 and –1.
C) The x-intercept is at (–1, 2).
D) There are no x-intercepts.
Answer:
The x-intercept is found by setting y = 0, because that will give us the x-value at which the line crosses the x-axis
Step-by-step explanation:
Answer: D. There are no x-intercepts
The first one is 3
HELP HELP i need clear explanation
9514 1404 393
Answer:
(x -3)/(x -1) and (x +2)/(x -3)
Step-by-step explanation:
If you want the product of two fractions to be a/b, then 'a' must be a factor in the numerator of one of them, and 'b' must be a factor in the denominator of one of them.
'a' and 'b' are already in the numerator and denominator of a/b, so we can choose the other fraction to be something that has a value of 1, such as c/c.
(a/b)(c/c) = (ac)/(bc) = a/b
The intermediate product (before we reduce the result) has a numerator of 'ac' and a denominator of 'bc'. We can split those into two parts however we like. For example, we can get the same result by multiplying ...
(a/c)(c/b) = (ac)/(bc) = a/b
So, a simple answer to your question could be ...
[tex]\left(\dfrac{x-3}{x-1}\right)\times\left(\dfrac{x+2}{x-3}\right)=\dfrac{x+2}{x-1}[/tex]
__
The idea is to multiply the given result by 1 in some form. That form can be as complicated as you like, and its factors can be grouped any way you like
Using the equation x squared minus c equals 0 , what value of c has 9 and -9 as solutions.
9514 1404 393
Answer:
c = 81
Step-by-step explanation:
The equation x² -c = 0 can be factored as ...
(x -√c)(x +√c) = 0
which has roots ±√c.
The roots are given as ±9, so we have ...
±9 = ±√c
c = (±9)² = 81
The value c = 81 makes the equation have ±9 as solutions.
me pueden ayudar por favor
Answer:
Speak english i can't understand.
Step-by-step explanation:
976432 x 5 = _____-300=
May I please receive help?
Subtract how much more angle 1 is from the total. :
112 - 48 = 64
Divide by 2:
64/2 = 32
Angle 2 = 32 degrees
Answer:
measure of angle 2 is 32 degrees.
Step-by-step explanation:
I will refer to the measure of the angles as m1 and m2 (I don't have the angle symbol on my keyboard).
we are looking for measure of angle 2, so let's call m2 "x".
so,
m2 = (x)
m1 = (48 + m2) or m1 = (48 + x)
and we know that:
m1 + m2 = 112
so we substitute the values above into the equation.
m1 + m2 = 112
(48 + x) + (x) = 112
combine like terms:
42 + x + x = 112
42 + 2x = 112
subtract 42 from both sides, leaving us with
2x = 64
divide by 2, giving us
x = 32
remember that we are looking for m2, which is x, so m2 is 32 degrees. hope this helped! (:
Select the expression that is equivalent to (2x^2 +5)-5/2
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve :
[tex]{(2 {x}^{2} + 5) }^{ - \frac{5}{2} } [/tex][tex] \dfrac{1}{{(2 {x}^{2} + 5) }^{ \frac{5}{2} } } [/tex][tex] \dfrac{1}{ \sqrt{( 2{x}^{2} + 5) {}^{5} } } [/tex]therefore, the correct choice is :
AFind the coordinates of the midpoint of line AB if a= -5 and B =
17
Answer: 6
Step-by-step explanation: 6
Between the middle point is 6.
Solve m-v=k (solve for v)
Answer:
m-k=v
Step-by-step explanation:
m-v=k add "v" to both sides to separate it from "m"
m=k+v subtract k from both sides to isolate "v"
m-k=v
22. What is the median of these
numbers?
2, 7, 3, 6, 9, 1, 4
Answer:
the median in that numbers is 6
Step-by-step explanation
their are total 7 number which is odd
so the formula is
median = ( n + 1 /2 )^th term
now,
→ ( 7 + 1 / 2 )
→ 8/2
→ 4th term
therefore, 4th term is the median and 4th term is 6 itself.
hope this answer helps you dear...take care and may u have a great day ahead!
A figure skater needs a total score of at least 90 to move on to the next round. The total score is the average of four judges' scores. The first three judges' scores were 83, 88, and 92. The figure skater made it to the next round.
What is the minimum score the fourth judge could have given?
Answer:
79
Step-by-step explanation:
the rule here is to add 4 but here minus the least
Who know trigonometry?
Answer:
me! whats the question?
Step-by-step explanation:
The annual tuition and parent rating of 12 private schools is shown on the scatterplot. The schools are rated on a scale of 0 to 100.
Scatterplot with x axis labeled Tuition Price, US dollars going from 0 to 12,000 and y axis labeled Rating going from 0 to 100. Values at 3,435, 40; 3,884, 76; 4,436, 32; 4,464, 23; 5,782, 86; 5,931, 22; 5,978, 37; 6,305, 76; 7,922, 36; 9,147, 80; 9,315, 4; 9,642, 55.
Part A: Describe the association shown in the scatterplot. (4 points).
Part B: Give an example of a data point that affects the appropriateness of using a linear regression model to fit all the data. Explain. (4 points)
Part C: Give an example of a school that is cost effective and rated highly by parents. (2 points)
We have drawn scatter diagram and given an example of a data point that affects the appropriateness of using a linear regression model and of a school that is cost effective and rated highly by parents.
What is scatter diagram ?The scatter diagram plots two sets of numerical data, one on each axis, to see if there is a link between them. The points will fall along a line or curve if the variables are correlated.
How to show the given data on scatterplot?We are using graphing calculator to show the points to make scatter diagram
Which data point that affects the appropriateness of using a linear regression model to fit all the data ?If a linear model is adequate, the histogram should be about normal, and the residuals scatterplot should have random scatter. The linear model is not adequate if we detect a curved connection in the residual plot.
How a school that is cost effective and rated highly by parents ?Parents can help with events and activities at school, as well as communicate with instructors. They can also be active at home in a variety of ways, including as assisting their children with homework and other obligations, and engaging in talks about educational principles and attitudes.
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Please answer this question
Answer:
b (0, 4)
Step-by-step explanation:
The other options already have an input (the x) in the function so it must be b.
Las otras opciones ya tienen una entrada (la x) en la función, por lo que debe ser b.