Answer:
Friend C would be 20 years old
Step-by-step explanation:
Consecutive integers are integers that follow each other
In this case, we have three friends (let's call them A, B, and C) who's total age sum is 57:
A + B + C = 57
If Friend B is one year older than Friend A and Friend C is two years older than Friend A (or one year older than Friend B), then we write and solve for Friend A:
A + (A + 1) + (A + 2) = 57
3A + 3 = 57
3A = 54
A = 18
So if Friend A is 18 years old, then Friend B is 19 years old, and Friend C is 20 years old, making Friend C the oldest.
Answer:
20 years old
Step-by-step explanation:
3x + 3 = 57
3x = 54
x = 18
X + 2 = 18 + 2
Answer = 20 years old
find the value of x
plssss help me
Answer:
x = 20
Step-by-step explanation:
The angles are supplementary so:
7x + x + 20 = 180
8x + 20 = 180
8x = 160
x = 20
Halla el MCM de 42 y 70.
Answer:
mcm= 210
Step-by-step explanation:
We decompose into its prime factors
42- 70 | 2
21 - 35 | 3
7 - 35 | 5
7 - 7 | 7
1 - 1
mcm= 210
Greetings!
13. The product of 0.21 and 1.8 is 0.378
A) True
B) False
Answer:
true
Step-by-step explanation:
because 0.21 ×1.8 is 0.378
2345621874+9863412689
Answer:
12209034563 will be your answer.
Step-by-step explanation:
just add it.
Answer:
WAT TIME IS IT? IT TIME 2 USE DA CALCULATOR.
12209034563
more info can be giving on usecalculator.com
Step-by-step explanation:
HELP I NEED ANSWERS NOW
Answer:
I am not sure but I think it is c
Step-by-step explanation:
its worth 25 please help and show work
9514 1404 393
Answer:
3) y = √10
4) x = 5√2
Step-by-step explanation:
The side ratios of an isosceles right triangle (one of the "special" right triangles) are ...
1 : 1 : √2
So, for some multiplier k, they can be made to match the sides in your triangles.
__
3) 1·k : 1·k : k√2 = √5 : √5 : y
Clearly, k = √5, so ...
y = (√5)(√2)
y = √10
__
4) k : k : k√2 = x : x : 10
k = 10/√2 = (5√2)/2
k = x = (5√2)/2
What is the probability that a randomly selected date in the year 2021 is not in the month of October or
November?
Type your answer into the box as a decimal. Round to the nearest thousandth.
Answer:
0.833
Step-by-step explanation:
There are 365 days in 2021
There are 31 days in October
There are 30 days in November
(365-61)/365 = 0.833
algebraically find the inverse of a function
9514 1404 393
Answer:
1) f⁻¹(x) = 6 ± 2√(x -1)
3) y = (x +4)² -2
5) y = (x -4)³ -4
Step-by-step explanation:
In general, swap x and y, then solve for y. Quadratics, as in the first problem, do not have an inverse function: the inverse relation is double-valued, unless the domain is restricted. Here, we're just going to consider these to be "solve for ..." problems, without too much concern for domain or range.
__
1) x = f(y)
x = (1/4)(y -6)² +1
4(x -1) = (y-6)² . . . . . . subtract 1, multiply by 4
±2√(x -1) = y -6 . . . . square root
y = 6 ± 2√(x -1) . . . . inverse relation
f⁻¹(x) = 6 ± 2√(x -1) . . . . in functional form
__
3) x = √(y +2) -4
x +4 = √(y +2) . . . . add 4
(x +4)² = y +2 . . . . square both sides
y = (x +4)² -2 . . . . . subtract 2
__
5) x = ∛(y +4) +4
x -4 = ∛(y +4) . . . . . subtract 4
(x -4)³ = y +4 . . . . . cube both sides
y = (x -4)³ -4 . . . . . . subtract 4
I need the median the mode the range and the mean plz help the numbers are 13, 21, 14, 29,26, 14, 23.
Plz help
Answer:
Mean: 20
Median: 21
Mode: 14
Range: 16
Answer:
the median is 21. the mode is 14 and the range is 16
Step-by-step explanation:
what is the area of the side of this house?
Answer:
25
Step-by-step explanation:
12 The points (-15, -3) and (-7, -1) both lie
in the graph of the linear function
y = f(x). What is the rate of change of
f(x) with respect to x?
rate of change is 1/4
Step-by-step explanation:
An earlier study determined that 60% of women older than age 50 have annual mammograms. To see if this proportion is still valid, we send surveys to 1000 women older than age 50. Of the 100 who respond, 70 say they have annual mammograms. What is the (estimated) current proportion of women older than age 50 who say they get annual mammograms
Answer:
The % of women above 50 having mammograms as devised from the survey is 70%.
Step-by-step explanation:
Given
60% of women older than age 50 have annual mammograms
Out of 1000 surveyed women of age greater than 50, 100 women responded and out of these 100, 70 confirmed that they have annual mammograms
The % of women above 50 having mammograms as devised from the survey is 70%.
Function is defined by f(x) = x2 - 4x + 8. The graph of function g is shown.
Let h represent the x-coordinate of the vertex of the graph of y = f(x). Let
represent the x-coordinate of the vertex of the graph of y = g(x). What is the
value of h-j?
The value of h -j is -5.
We have the function, f(x) = x² -4x + 8
Now, vertex
h = x = -b/2a
h = x = -(-4) / (-2)
h = x = -4/2
h= x = -2
Now, according to the graph
j = x= 3
So, h - j
= -2 - 3
= -5
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A tablet sales associate makes $84 each day that she works and makes approximately $33 in commission for each tablet that she sells. If she wants to make at least $348 in one day, at least how many tablets does she need to sell?
Answer:
8 tablets
Step-by-step explanation:
t = # tablets she must sell
348 = 33t + 84
264 = 33t
t = 8
The sales associate needs to sell at least 8 tablets in order to make at least $348 in one day.
To determine the minimum number of tablets the sales associate needs to sell in order to make at least $348 in one day, we can set up an inequality based on the given information.
Let's denote the number of tablets sold as "x."
Given:
Earnings per day (base pay) = $84
Commission per tablet sold = $33
Desired earnings for the day = $348
The total earnings for the day can be calculated as follows:
Total earnings = Base pay + (Commission per tablet * Number of tablets sold)
Total earnings ≥ Desired earnings
Setting up the inequality:
$84 + ($33 * x) ≥ $348
Simplifying the inequality:
$84 + $33x ≥ $348
Now, let's solve for x:
$33x ≥ $348 - $84
$33x ≥ $264
Dividing both sides of the inequality by $33 (the coefficient of x):
x ≥ $264 / $33
x ≥ 8
Therefore, the sales associate needs to sell at least 8 tablets in order to make at least $348 in one day.
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To reach her summer reading goal, Elisa has to read at least 30 books. The inequality b ≥ 30 represents the number of books she needs to read. Which of the following is the solution to this inequality?
Answer:
hii
have a good day for you!
Is this relationship proportional or non proportional
The first sequence rule is add 5 starting from 20. The second sequence rule is subtract 7 starting from 56. What is the first number that appears in both sequences?
25
28
42
35
Answer:
35
Step-by-step explanation:
its the 4th step your welcome
20-25-30-35
56-49-42-35
Answer: 35 I got it correct on the quiz
Step-by-step explanation:
Find the missing lengths!!!!!!!
Answer:
13
Step-by-step explanation:
It is a square so the length of 1 side = [tex]\sqrt{169}[/tex] = 13
Solve for x. Show or explain your work. Then, verify that your solution is correct. 5(2 + 5) = 6 − 10 –
ppppp)is dilated from the origin by scale factor r to the world
Simplify the expression: 15i ⋅ 4i
Answer:
I think the answer is 11i
there is the correct answer.
What is the mean absolute deviation if the mean is 15 and the majority of the data falls between 5 and 25
What is the Mean Absolute Deviation of the following data set?
{23, 25, 28, 29, 30}
Answer:
The mean absolute deviation is 2.4
Step-by-step explanation:
Graph the line with slope -1/2 passing through the point (-1,-2)
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]m = -\frac{1}{2}[/tex]
[tex](x_1,y_1) = (-1,2)[/tex]
Required
Graph the line
First, is to determine the equation of the line using:
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
So:
[tex]-\frac{1}{2} = \frac{y - 2}{x - -1}[/tex]
[tex]-\frac{1}{2} = \frac{y - 2}{x +1}[/tex]
[tex]\frac{-1}{2} = \frac{y - 2}{x +1}[/tex]
Cross multiply:
[tex](y -2) * 2 = -1 * (x + 1)[/tex]
[tex](y -2) * 2 = -x -1[/tex]
Solve for y - 2
[tex]y -2 = -\frac{x}{2} -\frac{1}{2}[/tex]
Solve for y
[tex]y = -\frac{x}{2} -\frac{1}{2} + 2[/tex]
[tex]y = -\frac{x}{2} +\frac{-1+4}{2}[/tex]
[tex]y = -\frac{x}{2} +\frac{3}{2}[/tex]
The above equation will then be plotted on the graph (See attachment)
giving brainliest !!! *easy*
Answer: 600 sq cm
Step-by-step explanation: Each side is 100 cm^2, and there are a total of 6 sides. 100•6=600.
Hope this helps!
Answer:
SA = 600
Step-by-step explanation:
A cube has six sides.
The formula to find the SA of a cube is 6a^2
6 x 10^2 = 6 x 100 = 600
help please i really need this done
Answer:
x = 33°
Step-by-step explanation:
x = 180° - 80° - 67° = 33°
Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.
If AB=61 units, BC=11 units, and AC=60 units, what is the length of A′C′?
11 units
61 units
90 units
60 units
Answer:
60 Units
Step-by-step explanation:
The length of AC does not change. Since the translation is a rotation, nothing about the size of the triangle should change. Meaning A'B'C' is still 60 units in length.
The length of the side A'C' of the triangle after rotation is A'C' =AC = 60 units
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the triangle be represented as ΔABC
Now , the measures of the sides of the triangle are
The measure of side AB = 61 units
The measure of side BC = 11 units
The measure of side AC = 60 units
And , the triangle is rotated by 90° counterclockwise about the origin
The coordinates of the triangle after rotation is A'B'C'
And ,
The measure of side A'B' = 61 units
The measure of side B'C' = 11 units
The measure of side A'C' = 60 units
The length of the sides of the triangle does not change during a transformation of rotation by any degree
Hence , the measure of side A'C' of triangle is 60 units
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Part A: Write an algebraic expression for 8 more than 5 times a number. (5 points)
Part B: Write a verbal expression for 4(n + 6). (5 points)
The algebraic expression for [tex]8[/tex] more than [tex]5[/tex] times a number will be [tex](8+5x)[/tex] and the verbal expression for [tex]4(n + 6)[/tex] will be four times the sum of a number and six.
What is expression ?Expressions is a finite combination of symbols that is well-formed according to rules that depend on the context.
Part A ;We have,
[tex]8[/tex] more than [tex]5[/tex] times a number
Now,
Let a number [tex]=x[/tex]
So,
According to the question,
We get, [tex](8+5x)[/tex]
So, this is the algebraic expression .
Part B ;We have,
[tex]4(n + 6)[/tex]
So,
According to the question,
[tex]4(n + 6)[/tex] will be written as four times the sum of a number and six.
So, this is the verbal expression .
Hence, we can say that the algebraic expression for [tex]8[/tex] more than [tex]5[/tex] times a number will be [tex](8+5x)[/tex] and the verbal expression for [tex]4(n + 6)[/tex] will be four times the sum of a number and six.
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what is the distance between -8 and 535 on a number line
Answer:
527
Step-by-step explanation:
because i did it in the calculator
Someone please please help me with this!!!
Answer:
[tex]4x {}^{2} - 36 \\ = (2x + 6)(2x - 6) \\ hence \: option \: b \: is \: correct[/tex]
Exact = 50 Approximate = 45
Answer:
Approximate of error = 11.11 % (Approx.)
Step-by-step explanation:
Given:
Exact value = 50
Approximate value = 45
Find:
Approximate of error
Computation:
Approximate of error = [(Exact value - Approximate value)/Approximate value]100
Approximate of error = [(50 - 45)/45]100
Approximate of error = [(5)/45]100
Approximate of error = [0.11111]100
Approximate of error = 11.11 % (Approx.)