Answer:
The answer is below
Step-by-step explanation:
Let us assume that the age of Greg's brother (Gabe) is x years, and let Greg's age by y years. Since Greg is 10 years older than his brother gabe, then:
y = x + 10 (1)
Also. Greg is 3 times as old as Gabe, hence:
y = 3x (2)
From equation 1 and equation 2:
y = x + 10 = 3x
Hence:
3x = x + 10
Subtracting x from both sides gives:
3x - x = x + 10 - x
2x = 10
Dividing by 2:
2x/2 = 10/2
x = 5 years
y = x + 10 = 5 + 10 = 15 years
Therefore Gabe is 5 years old and Greg is 15 years old
calculate discount percentage on a short whose Marked price is 800 and sale price is 80
Answer:
640
Step-by-step explanation:
we turn the 80% into decimal so:
80÷100= 0.8
Then we multiply to find the discounted amount:
800×0.8= 640
[MA5T10 C] Name the property being illustrated.
45 + 27 = 27 + 45
A) Distributive Property
B) Associative Property
C) Commutative Property
D) Equality Property
Answer: C
Step-by-step explanation: the equation on the opposite side is the same
How do I find the x and y intercept in
y= 1/5 X - 7
Answer:
to find the x-intercept, set y to 0.
0 = 1/5x - 7
7 = 1/5x
35 = x
(35, 0)
to find the y-intercept, set x to 0.
y = 1/5(0) - 7
y = 0 - 7
y = -7
(0, -7)
Two of the sides of a triangle are $18$ and $25.$ The length of the third side is also a positive integer. How many different possible values are there for the third side length? Ps: (Geometry Problem) Have fun!
Answer:
A set of all positive integers between 7 and 43.
Step-by-step explanation:
If a triangle is given with the sides a, b, c, triangle is possible when,
a + b > c
a + c > b
b + c > a
Following the same rule in a triangle having side lengths 18, 25 and l unit.
18 + 25 > l ⇒ l < 43
18 + l > 25 ⇒ l > 7
25 + l > 18 ⇒ l > -7
Therefore, length of the third side of the triangle will be,
7 < l < 43 (A set of positive integers between 7 and 43)
Whats 36/2/3 simplify
Answer:
6
Step-by-step explanation:
This is calculated in order from left to right. This is same as: (36/2)/3
36/2/3= 18/3=6Note:
It would be calculated as below if the parenthesis was differently applied:
36/(2/3) = 36* 3/2 = 54Answer:
6
Step-by-step explanation:
Name an angle that is supplementary to
Answer:
to what?
Step-by-step explanation:
PLEASE HELPWILL GIVE BRAINLIEST 1/x+7 = 15/5(x+7) - 2 or [tex]\frac{1}{x+7} = \frac{15}{5(x+7)} - 2[/tex]
Greetings from Brasil...
We will pass the - 2 to the 1st member
2 + [1/(X + 7)] = 15/(5(X + 7))
simplifying the numerator and denominator of the 2nd member
2 + [1/(X + 7)] = 3/(X + 7)
solving the sum of the 1st member
(2X + 15)/(X + 7) = 3/(X + 7)
product of the means by extremes
(2X + 15) · (X + 7) = 3 · (X + 7)
2X² + 15X + 14X + 105 = 3X + 21
2X² + 29X - 3X + 105 - 21 = 0
2X² + 26X + 84 = 0solving this 2nd degree equation
Δ = b² - 4.a.c
Δ = 26² - 4 . 2 . 84
Δ = 676 - 4. 2 . 84
Δ = 4
X' = (-26 + √4)/2.2 X'' = (-26 - √4)/2.2
X' = -24 / 4 X'' = -28 / 4
X' = -6 X'' = -7Someone help please thank you
Answer:
See below.
Step-by-step explanation:
So we have the two functions:
[tex]f(x)=8x-5\text{ and } g(x)=9-2x[/tex]
And we want to find:
[tex](f\circ g)(x)\text{ and } (g\circ f)(x)[/tex]
1)
Recall that:
[tex](f\circ g)(x)[/tex]
is the same as:
[tex]=f(g(x))[/tex]
Thus, we can substitute g(x):
[tex]=f(9-2x)[/tex]
And substitute that into f(x):
[tex]f(x)=8x-5\\f(9-2x)=8(9-2x)-5[/tex]
Distribute:
[tex]=72-16x-5[/tex]
Subtract and simplify:
[tex]=67-16x\\=-16x+67[/tex]
Thus:
[tex](f\circ g)(x)=-16x+67[/tex]
2)
Similarly:
[tex](g\circ f)(x)=g(f(x))[/tex]
Substitute f(x):
[tex]g(f(x))=g(8x-5)[/tex]
Substitute:
[tex]g(8x-5)=9-2(8x-5)[/tex]
Distribute:
[tex]=9-16x+10[/tex]
Simplify:
[tex]=-16x+19[/tex]
Therefore:
[tex](g\circ f)(x)=-16x+19[/tex]
Complete the Square:
5x^2+16x-40=8
(please show your steps)
Answer:
Step-by-step explanation:
divide through by the coefficient of [tex]x^{2}[/tex]
[tex]\frac{5x^{2} }{5}[/tex] + [tex]\frac{16x}{5} + \frac{-40}{5} = \frac{8}{5}[/tex]
[tex]x^{2} +\frac{16}{5}x -8 =\frac{8}{5}[/tex]
[tex]x^{2} +\frac{16}{5} x = \frac{8}{5} +8[/tex]
[tex]x^{2} + \frac{16}{5} x =\frac{48}{5}[/tex]
Add half of the square of the coefficient of x to both sides [tex](\frac{1}{2} X \frac{16}{5} ) ^{2}[/tex]
[tex]x^{2} + \frac{16}{5}x + (\frac{1}{2} X \frac{16}{5} )^{2} =[/tex] [tex]\frac{48}{5} +(\frac{1}{2} X \frac{16}{5} )^{2}[/tex]
[tex]x^{2} +\frac{16}{5} x +(\frac{16}{10}) ^{2} =\frac{48}{5} +\frac{64}{25}[/tex]
[tex](x +\frac{16}{10})^{2} =\frac{304}{25}[/tex]
[tex]x +\frac{16}{10} =[/tex]±[tex]\sqrt{\frac{304}{25} }[/tex]
[tex]x = -\frac{16}{10}[/tex] ± [tex]\sqrt{\frac{304}{25} }[/tex]
[tex]x=-\frac{16}{10} + \sqrt{\frac{304}{25} }[/tex] or[tex]-\frac{16}{10} - \sqrt{\frac{304}{25} }[/tex]
[tex]x = 1.89[/tex] or -5.09
Find the coordinates of two points on the given line, and then use those coordinates to find the slope of the line 3x + 5y = 15
Answer:
slope is -3/5
Step-by-step explanation:
3x + 5y = 15
5y = -3x + 15
y = -3/5x + 3
slope is -3/5
PLZ HELP ASPPP
Find the MIDPOINT of the following two points:
(3,-1) (2,4)
Answer:
The answer is [tex](\frac{5}{2} , \frac{3}{2} )[/tex]
Step-by-step explanation:
(3,-1) (2,4)
Plug into the midpoint formula:
[tex](\frac{x_{2}_+x_{1}}{2}} ,(\frac{y_{2}_+y_{1}}{2}})[/tex]
[tex](\frac{2+3}{2}}), (\frac{4-1}{2}})[/tex]
Solve:
[tex](\frac{5}{2}}), (\frac{3}{2}})[/tex]
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Hope this helps! :)
The San Andreas fault separates the pacific plates from the North America plate. The pacific plate moved northward relative to the North American plate at a rate of 5.7 cm/year. Currently LA and San Francisco are about 470km away from each other, how long will it take for LA and SF to be next to each other? Answer in years
Answer:
The time, t it will take LA and San Francisco to be next to each other is 8,245,614.04 years which is over 8 million years
Step-by-step explanation:
The given parameters are;
The speed with which the pacific plate moved northward relative to the North American plate = 5.7 cm/year = 5.7 × 10⁻⁵ km/year
The distance between current LA and San Francisco = 470 km
From the formula for speed, s, we have
Speed = Distance/Time
Therefore, Time, t = Distance/Speed
The time, t it will take LA and San Francisco to be next to each other is given as follows;
t = (Distance between LA and San Francisco)/(The speed with which the pacific plate)
t = (470 km)/(5.7 cm/year) = 470/(5.7 × 10⁽⁻⁵⁾) = 8245614.04 years
Therefore, the time, t it will take LA and San Francisco to be next to each other is 8245614.04 years.
Solve the following equation, using the Bhaskara formula: x² - 5x + 6 = 0
[tex]x^2-5x+6=0[/tex]
[tex]x=\frac{-(-5)\pm\sqrt{(-5)^2-4\times1\times6}}{2\times1}\Leftrightarrow[/tex]
[tex]\Leftrightarrow x=\frac{5\pm\sqrt{25-4\times6}}{2}\Leftrightarrow[/tex]
[tex]\Leftrightarrow x=\frac{5\pm\sqrt{25-24}}{2}\Leftrightarrow[/tex]
[tex]\Leftrightarrow x=\frac{5\pm\sqrt{1}}{2}\Leftrightarrow[/tex]
[tex]\Leftrightarrow x=\frac{5\pm1}{2}\Leftrightarrow[/tex]
[tex]\Leftrightarrow x=\frac{5-1}{2}\;\;\;\vee\;\;\;x=\frac{5+1}{2}\Leftrightarrow[/tex]
[tex]\Leftrightarrow x=\frac{4}{2}\;\;\;\vee\;\;\;x=\frac{6}{2}\Leftrightarrow[/tex]
[tex]\Leftrightarrow x=2\;\;\;\vee\;\;\;x=3[/tex]
Answer: [tex]x\in\{2\;;\;3\}[/tex]
[tex]\sf\dfrac{-(-5)\pm\sqrt{\sf (-5)^2-4\cdot1\cdot6}}{2\cdot1}[/tex]
[tex]\sf\dfrac{5\pm\sqrt{\sf 25-24}}{2}[/tex]
[tex]\sf\dfrac{5\pm\sqrt{\sf 1}}{2}[/tex]
[tex]\sf\dfrac{5\pm1}{2}[/tex]
[tex]\sf x'=\dfrac{5-1}{2}~~~~~~x''=\dfrac{5+1}{2}[/tex]
[tex]\sf x'=\dfrac{4}{2}~~~~~~~~~~~~x''=\dfrac{6}{2}[/tex]
[tex]\sf x'=2~~~~~~~~~~~~~x''=3[/tex]
⠀⠀
Solutions = {2, 3}
⠀⠀
⠀⠀
I hope that helps !!
PLLLLLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME RIGHT NOW ASAP Pineapples are on sale for $1.50 per pound. Let y be the total cost in dollars of x pounds of pineapple which equation represents the situation
Answer:
y = 1.5x
Step-by-step explanation:
Cost of pineapples:
$1.50 per poundx pounds of pineapple will cost:
x*$1.50 = $ 1.5xThis function is represented as:
y = 1.5x(3x − 4)(2x2 + 2x − 1)
Answer:
6x3−2x2−11x+4
Step-by-step explanation:
the numbers after the x are squared
Anthony sells cars. Each month, he is paid $2,000, plus a 15% commission on monthly sales above $20,000. Which function calculates his monthly earnings (E) as a function of m, his monthly sales?
A) E(m) = 2,000 + 0.15(m 20,000)
B) E(m) = 2,000 + 0.15(m + 20,000)
C) E(m) = 2,000 + 15(m - 20,000)
D) E(m) = 2,000 + 15(m+ 20,000)
Answer:
E(m) = 2,000 + 0.15(m + 20,000)
Step-by-step explanation:
The function calculates his monthly earnings E(m) = 2,000 + 15(m - 20,000). Therefore, option C is the correct answer.
Given that, Anthony sells cars. Each month, he is paid $2,000, plus a 15% commission on monthly sales above $20,000.
We need to calculate his monthly earnings (E) as a function of m, his monthly sales.
What are the composition functions?The composition of a function is an operation in which two functions say f and g generate a new function say h in the sort of manner that h(x) = g(f(x)). It method right here characteristic g is carried out to the characteristic of x. So, basically, a feature is implemented to the end result of another feature.
Now, the function for the given situation is E(m) = 2,000 + 15(m - 20,000).
The function is E(m) = 2,000 + 15(m - 20,000). Therefore, option C is the correct answer.
Learn more about composition functions here: brainly.com/question/10687170
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How to solve -13 - ¼h = 7
A simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute.
Complete parts (a) through (c) below.
a. Identify the null and alternative hypotheses.
b. Compute the test statistic. χ2 = ___ (round to three decimals)
c. Find the P-value. P-value=____(Round to four decimal places as needed.)
d. State the conclusion. (reject null/ eccept null)
Answer:
Step-by-step explanation:
Given that:
sample size n = 36
standard deviation = 10.1
level of significance ∝ = 0.10
The null hypothesis and the alternative hypothesis can be computed as follows:
[tex]H_0 : \sigma = 10[/tex]
[tex]H_1 : \sigma \neq 10[/tex]
The test statistics can be computed as follows:
[tex]X^2 = \dfrac{(n -1)s^2 }{\sigma ^2}[/tex]
[tex]X^2 = \dfrac{(36 -1)10.1^2 }{10^2}[/tex]
[tex]X^2 = \dfrac{(35)102.01 }{100}[/tex]
[tex]X^2 = \dfrac{3570.35 }{100}[/tex]
[tex]X^2 =35.704[/tex]
degree of freedom = n - 1 = 36 - 1 = 35
Since this test is two tailed .
The P -value can be determined by using the EXCEL FUNCTION ( = 2 × CHIDIST(35.7035, 35)
P - value = 2 × 0.435163515
P - value = 0.8703 ( to four decimal places)
Decision Rule : To reject the null hypothesis if P - value is less than the 0.10
Conclusion: We fail to reject null hypothesis ( accept null hypothesis) since p-value is greater than 0.10 and we conclude that there is sufficient claim that the normal range of pulse rates of adults given as 60 to 100 beats per minute resulted to a standard deviation of 10 beats per minute.
A typical red blood cell in human blood has a diameter of approximately 0.007 mm. Enter this diameter in scientific notation.
In scientific notation, this diameter is × 10 mm.
What is the answer?

Using scientific notation it is found that the diameter of a red blood cell in human blood is of:
[tex]7 \times 10^{-3}[/tex] mm.
What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
In this problem, the diameter is of 0.007 mm, hence:
[tex]0.007 = 0.07 \times 10^{-1} = 0.7 \times 10^{-2} = 7 \times 10^{-3}[/tex]
Hence in scientific notation, the diameter is:
[tex]7 \times 10^{-3}[/tex] mm.
More can be learned about scientific notation at https://brainly.com/question/16394306
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Put the following numbers in order from least to greatest: 24.4, 24.54, 24.304, 24.24
Answer:
24.24, 24.304, 24.4, 24.54
Step-by-step explanation:
write the product of 2 and q
Answer:
2q
Step-by-step explanation:
The product of multiple quantities is basically multiplying them together so our answer is 2 * q or 2q.
Solve for r 28=4r+28
Answer:
r = 0
Step-by-step explanation:
Subtract 28 from each side, so it now looks like this: 0 = 4rDivide each side by 4, to cancel out the 4 attached to the r. It should now look like this: 0 = r.0 remains a 0 because 0 can't be divided.Therefore, r = 0.
Check to see if it works:
4 × 0 = 0. This is because anything times 0 is 0.Plug 0 in: 28 = 0 + 280 + 28 = 28Therefore, we know 0 is the right answer because as it says in the last step,
0 + 28 is indeed equal to 28, which the problem says is the answer.
Answer: [tex]x=0[/tex]
Flip the equation
[tex]4r+28=28[/tex]
Subtract 28 from both sides
[tex]4r+28-28=28-28\\4r=0[/tex]
Divide both sides by 4
[tex]4r/4=0/4\\x=0[/tex]
How to find the why intercept when the Slope 2 points pass through (4,13)
Answer:
The y-intercept is (0, 5).
Step-by-step explanation:
We find the equation of the line in slope-intercept form:
y - y1 = m(x - x1)
y - 13 = 2(x - 4)
y = 2x - 8 + 13
y = 2x + 5 - This is slope-intercept form where the graph passes through the y-axis at y = 5.
please answer will reward with brainliest if you give me the answer and an explanation.
Answer:
Root 37
Step-by-step explanation:
All of the others are square numbers so they have no decimal numbers. Root 37 = 6.08...... making it an irrational number.
Solve for q
-4q=2q-10
q=?
Answer:
q = 5/3
Step-by-step explanation:
-4q=2q-10
Subtract 2q from each side
-4q-2q=2q-2q-10
-6q = -10
Divide each side by -6
-6q/-6 = -10/-6
q = 5/3
Answer:
q = 3/5 or 0.6
Step-by-step explanation:
-4q = 2q - 10
0 = 6q - 10
6q = 10
q = 6/10
q = 3/5
3x+5=26 find the value of x
Step-by-step explanation:
[tex]3x + 5 = 26[/tex]
[tex]3x = 26 - 5[/tex]
[tex]3x = 21[/tex]
[tex]x = 7[/tex]
Hope it helps u
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The solution for the linear equation is x = 7.
How to find the value of x?To find the value of x in the equation 3x + 5 = 26, we can follow these steps:
Step 1: Subtract 5 from both sides of the equation to isolate the term with x on one side.
3x + 5 - 5 = 26 - 5
3x = 21
Step 2: Divide both sides of the equation by 3 to solve for x.
(3x)/3 = 21/3
x = 7
Therefore, the value of x in the equation 3x + 5 = 26 is x = 7.
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Find all values of $x$ such that 9+27/x+8/(x^2)=0
Answer:
Step-by-step explanation:
Multiply by x^2 on both sides
9x^2+27x+8=0
Factor.
The answers are -1/3, -8/3
I need #5 and #7 answered please.
Answer:
Step-by-step explanation:
5). y = 4 - x²
Table for the points on this function will be,
x -2 -1 0 1 2
y 0 3 4 3 0
Therefore, Domain of the function will be: (-∞, ∞)
And Range of the function will be : (-∞, 2]
7). [tex]y=2+\sqrt{x-1}[/tex]
This function is defined from the values of x ≥ 1
Table for the input-output values of this function is,
x 1 2 5 10 17
y 2 3 4 5 6
Therefore, Domain of the function will be: [1, ∞)
And Range of the function : [2, ∞)
How many ways can 4 people sit in a table of 6 seats? A.120
B.24
C.360
D.15
Answer:
I thought it would be 24
Solve the equation. Determine if there there is no solution, infinite solutions, or one solution. —2 (x - 2) - 4x = 3 (x + 1) – 9x O Infinite Solutions O No Solution O One Solution; x = -1/12 O One Solution; x = -1
Answer:
(no solutions exist)
Step-by-step explanation: