Answer: r = I/pt
Step-by-step explanation:
Interest divided by the principal × time gives the rate. It's usually expressed as a percentage per year.
The equivalent equation for r is r=I/pt which is option a.
What is equation?Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.
How to find equation?We have been given an equation I=prt and we have to find the equivalent equation which is solved for r.
I=prt
In this p is principal, r is rate of interest and t is time period.
Divide both sides by pt.
I/pt=prt/pt
I/pt=r
Hence the equation equivalent to I=prt is r=I/pt which is option a.
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Which method correctly solves the equation using the multiplication property of equality and the reciprocal of One-third?
Answer: -third
Step-by-step explanation:
There were 3 bands that
performed at the talent show.
What percent of the 16 group acts
were band performances?
Answer:
18.75%
Step-by-step explanation:
(round answer if needed)
Answer: 18.75%
Step-by-step explanation:
divide 100 by 16
100/16=6.25
6.25x3=18.75
please help with this
Answer:
158m^3
Step-by-step explanation:
First, let's figure out the total amount of water in the tank.
It measures 4.5m by 6m by 8m. The volume of a rectangular prism is V=lwh.
Therefore, the volume is:
[tex]V=(4.5)(6)(8)=216 m^3[/tex]
We are told is it filled to the brim, so we can conclude that there are 216 cubic meters of water in the tank.
We used 58 cubic meters of water, so we simply need to subtract that from 216:
[tex]216m^3-58m^3=158m^3[/tex]
There is still 158 cubic meters of water left in the tank.
Answer:
158 m^3
Step-by-step explanation:
Volume of the tank
= 4.5 * 6 * 8
= 216 m^3.
So amount left in the tank
= 216 - 58
= 158 m^3.
The equations in this sytem were added to solve for x. What is the value of x? Negative 8 x + 8 y = 8. 3 x minus 8 y = negative 18. Negative 5 x = negative 10. x = negative 2 x = negative one-half x = one-half x = 2
Answer:
change your cringe username please lol
Step-by-step explanation:
jk heres the answer D, x = 2
The Value of x would be as follows:
2
Find the value of xGiven that,
Important Equations:
[tex]-8x + 8y = 8[/tex]
(i) [tex]3x - 8y = -18[/tex]
(ii) [tex]-5x - 0 = - 10[/tex]
(iii) Solving equation
By equation
(iii) [tex]x = -10 / -5[/tex]
∵ [tex]x = 2[/tex]
Thus, [tex]2[/tex] is the value of x.
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Simplify 27^2. _______ a0 Simplify 13^2. _______ a0
Answer:
Step-by-step explanation:
27^2 = 729
13^2 =169
Answer:
1) [tex]\boxed{729}[/tex]
2) [tex]\boxed{169}[/tex]
Step-by-step explanation:
1) 27²
This means 27 is being multiplied 2 times.
So,
=> 27*27
=> 729
2) 13²
This means 13 is being multiplied 2 times
So,
13*13
=> 169
A =3x2+4x+1,B=5x2−3x+8,C=4x2−7x−3, find the value of B + C –A.
Answer:
6x^2 - 14x + 4.
Step-by-step explanation:
5x^2 - 3x + 8 + 4x^2 - 7x - 3 - (3x^2 + 4x + 1)
= 5x^2 - 3x + 8 + 4x^2 - 7x - 3 - 3x^2 - 4x - 1
= 6x^2 - 14x + 4.
Micah is handing out miniature chocolate bars and butterscotch hard candies for Halloween. He wants tohave a total of 7 pounds of candy, but he doesn't want to spend more than $11.00 total on the candy. If miniature chocolate bars costs $1.80 per pound, and butterscotch hard candies costs $1.00 per pound, how many pounds of each type of candy should he buy?
Answer:
5 pounds of miniature chocolate and 2 butterscotch hard candies
Step-by-step explanation:
5 x $1.80 =$9 for 5 pounds of candy
2 x $1.00 =$2 for 2 pounds of candy
2 + 5 =7 pounds
7 pounds of candy using $11.00
How many solution does this following equation have? -7x-10-15x=-22x+83 A. No solution B. Exact 1 solution C. Infinite solution
Answer:
A. No Solution
Step-by-step explanation:
To solve for x we would just simplify the equation so it is easier to work with. First we will combine the -7x and the -15x and when you combine then you will get -22x so the equation will look like this [tex]-22x-10=-22x+83[/tex] now we would add 22x to both sides and our equation will be [tex]-10=83[/tex] and that is not correct so the answer would be A. No solution
Answer:
A. No solution
Step-by-step explanation:
-7x - 10 - 15x = -22x + 83
-22x - 10 = -22x + 83
0 = 93
Zero doesn't equal to 93, so there are no solutions.
Help me ASAP for this question the picture are the answers
If triangle BAT is similar to triangle ROD (ABAT AROD), which of the following statements is incorrect?
Answer:
I'm pretty sure it's the last one that is incorrect
Step-by-step explanation:
Answer:
The first one - “line segment TA is congruent to line segment DO” is incorrect
Step-by-step explanation:
Since the triangles are similar, the angle measurements would be the same (congruent), but the line segments are are only similar, not congruent, as they have different lengths. So the first statement is incorrect.
Find the median of the data in the dot plot below.
Plz help me 3(x + 1) = 5 + x
Answer:1
Step-by-step explanation:distribute 3 through the parentheses, move variable to the left hand side and change it’s sign, move constant to the right hand side and change its sign , collect like terms , subtract the numbers and then divide .
Isabella uses one-foot cubical blocks to build a rectangular fort that is 12 feet long, 10 feet wide, and 5 feet high. The floor and the four walls are all one foot thick. How many blocks does the fort contain?
Answer:
600 blocks
Step-by-step explanation:
Well this question is asking us to find the volume of the rectangular prism.
Dimensions)
L: 12
W: 10
H:5
The formula for the volume of a rectangular prism is l*w*h or B*h.
So 12*10 = 120
120 * 5 = 600 blocks
Thus,
the fort contains 600 blocks.
Hope this helps :)
Answer:
[tex]\boxed{280\ blocks}[/tex]
Step-by-step explanation:
The blocks at the base are:
Length * Width = 10 * 12 = 120 blocks
On the 2nd Layer:
=> 9+11+9+11 = 40 blocks
There are 3 more layers as the 2nd layer:
So, the blocks of these 4 layers are => 4 * 40 = 160 blocks
Total Blocks = Base Blocks + Layer Blocks
=> 120 + 160
=> 280 blocks
Write an ordered pair for each point graphed below.
Answer:
[tex]\boxed{(-1,4)}[/tex]
Step-by-step explanation:
The point is located in Quadrant II of the graph, where x-values are negative and y-values are positive.
Each marking on the graph represents one unit of distance. The two axes meet at the origin, where the coordinate point is equal to [tex](0,0)[/tex].
So, you can count backwards once from the origin to get your x-value ⇒ [tex]-1[/tex] and count up upwards four times from [tex]x=-1[/tex] to get your y-value ⇒ [tex]4[/tex].
Finally, place these in a coordinate point [tex](x,y)[/tex] ⇒ [tex]\boxed{(-1,4)}[/tex].
Answer:
(-1, 4)
Step-by-step explanation:
The point lies on the line x = -1.
The point lies on the line y = 4.
Where both lines intersect, that is the coordinate.
(x, y)
(-1, 4)
HELPPPP HURRYYYYYYY A bag contains 150 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records the color, and then places the marble back in the bag. The student has recorded 9 red marbles, 15 green marbles, and 6 blue marbles. Predict how many green marbles are in the bag.
Answer:
75 green marbles
Step-by-step explanation:
From the information given in the question, we can create a ratio representing all the marbles in the bag.
9 red:15 green:6 blue
We need to find the total number of times the student drew a marble by finding the sum
9+15+6= 30
The sample size is 30
150 is 5x the amount of 30, that means we need to multiply the given information by 5 to predict the number of green marbles
9x5=45
15x5=75
6x5=30
Now we have 45 red: 75 green: 30 blue
Based on the given information, we can predict that the bag contains 75 green marbles
Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.
Use the polygon tool to graph the dilated figure.
Answer:
(2,4), (6,4), (2,-2), (6,-2)
Step-by-step explanation:
To dilate a figure multiply 2(x,y)
2(1,2) = (2,4)
2(3,2) = (6,4)
2(1,-1) = (2,-2)
2(3,-1) = (6,-2)
Hope this helps! Ξ
Can anyone help with this thanks guys!
Answer:
450m squared
Step-by-step explanation:
bc my last answer was wrong (:
Answer:
450 m²
Step-by-step explanation:
The formula for area of a rectangle is A = lw. You are given the length (30 m) and the width (15 m). Plug in the numbers and solve for A.
A = lw
A = (30 m)(15 m)
A = 450 m²
The area of the rectangle is 450 m².
Carla bought quail eggs for 10 cents each. She bought 42 eggs. How much did she pay for
the eggs?
Answer:
420 cents or $4.20
Step-by-step explanation:
if each egg is 10 cents then
U MULTIPLY 42*10=X
420=X
SO 420 CENTS OR 4.20$
HOPE I HELPED
CAN I GET BRAINLIEST PLS?
-ZYLYNN
Liam is making chocolate chip cookies. The recipe calls for 1 cup of sugar for every 3 cups of flour. Liam only has 2 cups of flour.
How much sugar should Liam use?
Explain why your answer is correct.
Answer:
2/3 cups of sugar
Step-by-step explanation:
Answer:
2/3 cups of sugar
Step-by-step explanation:
If 3 cups of flour: 1 cup of sugar
2 cups of flour: x cup of sugar
Cross multiply
3x = 2 × 1
3 3
x = 2/3
My answer is correct because every 3 cups of flour is a full cup (1) but because he has 2 cups of flour, the cup of sugar is going to be less than 1 because 3 cups of flour is bigger than 2 cups of flour.
Please Help the question is below!!!
Answer:
A is right its acute angle
Step-by-step explanation:
because supplementary is 180
therefore A +B = 180
since we know A
B = 180- A
B = 73
which is an acute angle as its less than 90
pls mark me brainliest pls
Answer:
Step-by-step explanation:
(a) Acute
A=107 deg
B=?
given A+B=180
=> B=180-A
= 180-107
= 73
SO, B is an acute angle.
How is everyone doing today? Here is a problem for the day! Problem - 10 + 8 x 119
Answer:
..
-10 + 8× 119
= -10 + 952
= 942. .....
Answer:
236 (i think)
Step-by-step explanation:
cuz 0-10= -10+8= -2 X 119=236 (sorry if you cant read this my keyboard sucks
Reflect the given preimage over y=−1 followed by y=−7. Find the new coordinates. What one transformation is this double reflection the same as? (Note: when you are reflecting over a y= line, the x-values of the preimage will remain the same and you will be changing the y-values)
Answer:
Reflecting over y = -1 line:
A'(8, -10)
B'(10, -8)
C'(2, -4)
Reflecting over y = -7 line:
A''(8, -4)
B'(10, -6)
C''(2, -10)
Step-by-step explanation:
Reflect the given preimage over y=−1 followed
by y=−7. Find the new coordinates. What one transformation is this double reflection the same as? (Note: when you are reflecting over a y= line, the x-values of the preimage will remain the same and you will be changing the y-values)
The coordinates of the preimage are:
A(8,8)
B(10,6)
C(2,2)
Answer: Reflecting over y = -1:
If a point is reflected over a y line, the x values remain the same while the y values change.
For point A(8, 8): The y distance between the y = - 1 line and point A is 9 units. (8- (-1)). If point A is reflected, the y value would be 9 units below the y = -1 line, i.e the new y coordinate would be at -10 (-1-9)
The new coordinate is at A'(8, -10)
For point B(10, 6): The y distance between the y = - 1 line and point B is 7 units. (6- (-1)). If point B is reflected, the y value would be 7 units below the y = -1 line, i.e the new y coordinate would be at -8 (-1-7)
The new coordinate is at B'(10, -8)
For point C(2, 2): The y distance between the y = - 1 line and point C is 3 units. (2- (-1)). If point C is reflected, the y value would be 3 units below the y = -1 line, i.e the new y coordinate would be at -4 (-1-3)
The new coordinate is at C'(2, -4)
Reflecting over y = -7 line:
For point A'(8, -10): The y distance between the y = - 7 line and point A' is 3 units. (-7- (-10)). If point A' is reflected, the y value would be 3 units above the y = -7 line, i.e the new y coordinate would be at -4 (-7+3)
The new coordinate is at A''(8, -4)
For point B'(10, -8): The y distance between the y = - 7 line and point B' is 1 units. (-7- (-8)). If point B' is reflected, the y value would be 1 units above the y = -7 line, i.e the new y coordinate would be at -6 (-7 + 1)
The new coordinate is at B'(10, -6)
For point C'(2, -4): The y distance between the y = - 7 line and point C' is 3 units. (-4- (-7)). If point C' is reflected, the y value would be 3 units below the y = -7 line, i.e the new y coordinate would be at -10 (-7-3)
The new coordinate is at C''(2, -10)
We can also see that h= −7−(−1)=−6. We know that two reflections is the same as a translation of 2h units down. So 2(−6) is a translation of −12 units down.
A. Plot the data for the functions f(x) and g(x) on a grid (SHOWN ABOVE)
B. Identify each function as a linear, quadratic, or exponential, and uses complete sentences to explain your choices.
C. Describe what happens to the function values in each function as x increases from left to right.
D. At what value(a) of x are the function values equal? If you cannot give exact values for x, give estimates.
Which equation represents a line that has a slope of Negative one-half and passes through point (4, –5)? y = negative one-half x + three-halves y = negative one-half x + StartFraction 13 Over 2 EndFraction y = negative one-half x minus 7 y = negative one-half x minus 3
Answer:
y = (-1/2)x - 3
Step-by-step explanation:
Please present the equation symbolically instead of in words:
m = -1/2, passing through (4, -5):
Using the slope-intercept formula y = mx + b, and using m = -1/2, x = 4 and y = -5, we get:
-5 = (-1/2)(4) + b, or -5 = -2 + b. Then b = -3 and the desired equation is:
y = (-1/2)x - 3
y = -x/2 - 3 equation represents a line that has a slope of -1/2 and passes through point (4, –5)
What is the equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given that a line has slope -1/2 and passes through point (4, -5)
The standard equation of a line is y = mx + c where m is the slope of the line.
Solving for c,
-5 = -1/2*4 + c
c = -3
Hence, y = -x/2 - 3 equation represents a line that has a slope of -1/2 and passes through point (4, –5)
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Pls help xDDDDD thx!
Answer:
-25
Step-by-step explanation:
Function f is given by the table of values shown.
x|0|1|2|3
f(x)|7|0|-5|-8
If function fis reflected across the x-axis to obtain function g, complete the table of values which represents function g.
Answer:
x | 0 | 1 | 2 | 3
f(x) | - 7 | 0 | 5 | 8
Step-by-step explanation:
When you reflect a point say across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). Therefore if the function f( x ) is reflected across the x - axis, it's new function would be y = - f( x ). This new function is function g, so you can also say y = - g( x ).
Given the following table ...
x | 0 | 1 | 2 | 3
f(x) | 7 | 0 | - 5 | - 8 ... we can keep the x - values constant, but take the opposite of each y - value, or " f( x ). " Doing so the new table should be the following -
x | 0 | 1 | 2 | 3
f(x) | - 7 | 0 | 5 | 8 ... note that 0 remains constant as you can't take it's opposite, it remains zero. Therefore, the function g is represented by the above table.
The values of g(x) are as follows:
x | 0 | 1 | 2 | 3
g(x) | -7 | 0 | 5 | 8
What is a Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable).
As per the given data:
We are given a function f(x) and a table where the values of f(x) at different values of x is given.
The table for the values is as follows:
x | 0 | 1 | 2 | 3
f(x) | 7 | 0 |-5 | -8
We have to find the values for the function g(x) which is obtained when f(x) is reflected about the x-axis.
When any function is reflected about the x-axis, the values of the y-axis will have their signs changed, i.e. the y-axis values will become -ve if they are positive and +ve if they are -ve.
For g(x):
x | 0 | 1 | 2 | 3
g(x) | -7 | 0 | 5 | 8
Hence, the values of g(x) are as follows:
x | 0 | 1 | 2 | 3
g(x) | -7 | 0 | 5 | 8
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30 points high school geometry question
Answer:
x = 5
Step-by-step explanation:
9/15 = 3/x
x = 5
X would equal 5
I did this test in high school. smh
The ten's digit in a two-digit number is 1 greater than the one's digit. If we interchange the digits in the number, we obtain a new number that, when added to the original number, results in the sum 187. Find this number.
Answer:
98
Step-by-step explanation:
Let's say the tens place is x and the ones place is y.
The tens place is one more than the one's place:
x = y + 1
Reversing the digits, plus the original number, is 187:
(10x + y) + (10y + x) = 187
11x + 11y = 187
x + y = 17
Substituting:
y + 1 + y = 17
2y = 16
y = 8
x = 9
The number is 98.
Brad wants to open a new savings account. He finds one that returns 3% on his investment each year.
Question 1
Assign a variable to each of the following płeces of information:
• final balance
• initial investment
• return rate
use the variable to write a formula for the final balance after 2 years
Answer:
1.03x
Step-by-step explanation:
1 year b would be the inital investment added with interest
i believe this is the equation
b = x + r(x)= (1 + r)x
and since it says 3% each year we know its 0.03 (r)
and when you solve it out you get that answer
Which expression can you simplify by combining like terms?
CLEAR CHECK
12b2+4ab−3ba−6
17a2−6b2a+4ba−9
5b2−5a2+8a−b
14a2+6ab−3b−3a
Given: P∈ BC , Pabc = 45, Pabp = 30, Papc = 35. Find AP.
Answer:
10
Step-by-step explanation:
Pabp = AB +BP +AP
Papc = AP +PC +CA
So the sum of perimeters of the two smaller triangles is ...
Pabp +Papc = AB +BP +AP + AP +PC +CA
= (AB +BP +PC +CA) +2AP
= Pabc +2AP
Filling in numbers, we have ...
30 +35 = 45 +2AP
20 = 2AP . . . . subtract 45
10 = AP . . . . . . divide by 2
The length of AP is 10 units.