Answer:
2x 5
Step-by-step explanation:
1/2(6x - 10) - x =
= 3x - 5 - x
= 2x - 5
The other side of the given equation so it's true for all values of x is 2x-5.
Given that, 1/2(6x-10)-x.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, 6x/2 - 10/2 -x
= 3x-5-2
= 2x-5
Therefore, the other side of the given equation so it's true for all values of x is 2x-5.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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You want to borrow three rock CDs from your friend. She loves math puzzles and she always makes you solve one before you can borrow her stuff. Here's the puzzle: Before you borrow three CDs, she will have 39 CDs. She will have half as many country CDs as rock CDs, and one-fourth as many soundtracks as country CDs. How many of each type of CD does she have after you borrow three rock CDs?
Answer:
Rock CD's=21
Country CD's=12
Soundtrack CD's=3
Step-by-step explanation:
let
r= rock CD's
c = country CD's
s = soundtrack CD's
Total CD's=r + c + s =39
2c=r
c/4=s
2c+c+c/4=39
8c+4c+c=156
13c=156
c=12
Substitute c=12 into 2c=r
2c=r
3(12)=r
24=r
r=24
Substitute c=12 into c/4=s
c/4=s
12/4=s
3=s
s=3
Therefore, she has
c=12
s=3
r=24
before she borrowed you 3 rock CD's
Sha has
r=21
s=3
c=12
after you borrowed 3 rock CD's
Solve for b. -11b+7 = 40 b=
Answer:
B= -3
Step-by-step explanation:
Move the terms that do not contain b to the right then solve. Hope this helps!
Answer:
[tex]\large \boxed{{b=-3}}[/tex]
Step-by-step explanation:
[tex]-11b +7=40[/tex]
Subtract 7 from both sides.
[tex]-11b +7-7=40-7[/tex]
[tex]-11b=33[/tex]
Divide both sides by -11.
[tex]\displaystyle \frac{-11b}{-11} =\frac{33}{-11}[/tex]
[tex]b=-3[/tex]
Write the expression -5x(4+3x) using words
Answer:
negative five times x, parenthesis four plus three times x
Step-by-step explanation:
Hey there!
Well,
-5x ⇒ negative 5 times x
(4 + 3x) ⇒ parenthesis four plus three times x
Hope this helps :)
how do i solve this ?(x+3)(x-5)=
[tex](x+3)(x-5)=x^2-5x+3x-15=x^2-2x-15[/tex]
Answer:
Step-by-step explanation:
Use FOIL method
(x + 3)(x - 5) = x*x + x *(-5) + 3*x + 3*(-5)
= x² - 5x +3x - 15 {add like terms}
= x² - 2x -15
What is the prime factorization of 270?
Answer:
[tex]\boxed{3^3 * 2 * 5}[/tex]
Step-by-step explanation:
Look at the image below ↓
Answer:
16 factors of 270
Step-by-step explanation:
1*270
2*135
3*90
5*54
6*45
9*30
10*27
15*18
Compute the value of each expression |-1||-||5|
Answer:
5
Step-by-step explanation:
The absolute value is the distance between a number and zero. The distance between − 1 and 0 is 1
1 |-5|
Multiply | − 5 | by 1
The absolute value is the distance between a number and zero. The distance between − 5 and 0 is 5
Hope this can help
Sketch the graphs y=1/3x+2
Answer:
mark a dot 2 on the y axis and from there go up one right 3 until you can anymore then go back to the two and go down one left 2
Step-by-step explanation:
a man bought a set of furniture listed 2350. he received a discount of 5% and then paid 3 % sales tax on the selling price. the sales tax was
Answer:
Sales tax on selling price: $2232.50(0.03) = $66.98
Step-by-step explanation:
List price: $2350
5% discount: 0.05($2350) = $117.50
Sale (selling) price: List price less discount: $2350 - $117.50 = $2232.50
Sales tax on selling price: $2232.50(0.03) = $66.98
Convert the following:
22 tons is equivalent to
kilograms
Answer:
19958.1
step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
What is the greatest common factor of 30, 90 and 75?
Factor 8(9) + 18
8(9+18)
9(8+2)
18(4+1)
18(1+4)
[tex]8(9)+18[/tex]
$=8\cdot9+2\cdot9$
$=(8+2)\cdot9$
The graph below shows the solution to which system of inequalities ?
Answer:
A
Step-by-step explanation:
A dotted line means its either greater than or less than. A undotted line means its also equal to the number aswell.
To find the right answer all you need is the first part because y has to be greater than or equal to 2 as shown from the graph. So the answer has to be A. As it is the only one that shows this.
A farmer sells 8.6 kilograms of apples and pears at the farmer's market. 4/5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
Weight of apples = 1.72 kg
Step-by-step explanation:
Given:
Total mass of sale = 8.6 kg
Pears weight = 4/5 of total weight
Find:
Weight of apples
Computation:
Weight of apples = [1 - 4/5]Total mass of sale
Weight of apples = [1/5]8.6
Weight of apples = 1.72 kg
plz help ASAP! last question thank u
Answer:
The correct Option is Option A
Step-by-step explanation:
What’s is the formula for the fill arithmetic sequence? -9,-2,5,12
Answer:
a +d = a2
Step-by-step explanation:
-2 - (-9) =
-2+9=7
a + d = a2
A candy store sells only one type of candy, which comes in different colors. Each color is a different flavor, and some flavors cost more than others. Specifically, 1 red piece costs the same as 3 blue pieces, 2 orange pieces cost the same as 5 green pieces, and 2 blue pieces cost the same as 10 green pieces. If 1 orange piece costs 13 cents, how much will 8 red pieces cost?
Answer:
$6.24
Step-by-step explanation:
1 orange=%0.13
2 orange=5 green=$0.26
10 green=2 blue= $0.52
.52+.26=.78
1 red=3 blue=$0.78
0.78*8=6.24
Which of the following statements is true according to the measurements in the diagram? Image not set to scale.
Answer:
4th option
Step-by-step explanation:
The two triangles are not similar as their measurements are different
hope this helps
plz mark as brainliest!!!!!!
The true statement is: ΔABC and ΔEDC are not similar .
so, option 4 is correct.
Here, we have,
given that,
from the given diagram, we get,
triangle ABC => AB = 8
BC = 4
CA = 10
and, for triangle DCE =>
DE = 20
CD = 10
CE = 25
so, we get,
the three sides of the two triangles are not proportional with each other.
so, we have,
ΔABC and ΔEDC are not similar with each other.
we get,
The two triangles are not similar as their measurements are different.
Hence, The true statement is: ΔABC and ΔEDC are not similar .
so, option 4 is correct.
Learn more about Triangle congruency click here:
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Roselyn is driving to visit her family, which lives 150150150 kilometers away. Her average speed is 606060 kilometers per hour. The car's tank has 202020 liters of fuel at the beginning of the drive, and its fuel efficiency is 666 kilometers per liter. Fuel costs 0.600.600, point, 60 dollars per liter.
Answer:
see explanation (please confirm if I read you problem correctly)
Step-by-step explanation:
150 kilometers
60 kph
tank is 20 liters
6 km/l
150/6 = 25 liters needed
$60/l
you will need to get 5 more liters of fuel
total cost 25 x .60 = $15
Answer:
AHHHHH I think its two hours
Step-by-step explanation:
she...? can drive 120 Kilometers before she runs out of fuel since the car's tank has 20 liters of fuel at the beginning of the drive, and its fuel efficiency is 6 kilometers per liter. and that means she can drive 2 hours
If f(x) = 2(x − 5), find f(8). 4 6 8 16
Answer:
f(8) = 6
Step-by-step explanation:
Plug in 8 as x in the function:
f(x) = 2(x − 5)
f(8) = 2(8 - 5)
f(8) = 2(3)
f(8) = 6
Answer:
[tex]\large \boxed{\mathrm{6}}[/tex]
Step-by-step explanation:
[tex]f(x)=2(x-5)[/tex]
Replace x with 8 to find f(8).
[tex]f(8)=2(8-5)[/tex]
Evaluate.
[tex]f(8)=2(3)[/tex]
[tex]f(8)=6[/tex]
HELPP NEEDED ASAP PLEASE.
There are 20n members in the Trumpington marching band, and when they line up in rows of 26, there are 4 band members left over. If n is an integer and there are fewer than 1000 band members, what is the maximum number of people that could be in the Trumpington marching band?
Answer:
The maximum number of people that can be in the Trumpington marching band is 940 people
Step-by-step explanation:
The number of members = 20·n
The number per row = 26
The number left = 4
Therefore, we have;
If there are x rows of 26, we have;
26 × x = 20·n - 4
We have;
26 × x < 996
26 × x < 20·n
20·n < 996 therefore, 20·n ≤ 980
We check that 980/26 = 37 and some fractions
26 × 37 = 962 which will leave a remainder of 2
Therefore, we note that for 26 to have a remainder of 4, the last digit of the factor x must be 6 so has to get the last digit of the product 26 × x to be 6 while the digit of the product 20×n is 0 which will live 4 members out to get to the next 10 as follows;
26 × 36 = 936 while 20 × 47 = 940
We get 940 - 936 = 4 members
Therefore, the maximum number of people that can be in the Trumpington marching band = 940.
Please help solve this, I solved it on my own but I think my calculations are wrong. here is the problem,
b-(b+a×4c÷4); use; a=-6, b=1, and c=2?
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------------------
Answer: 12~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~First we need to substitute the value of the variable into the expression and simplify.
b-(b+a×4c÷4) = 1 - (1 + -6 × 4(2) ÷ 4).
Now we need to solve 1 - (1 + -6 × 4(2) ÷ 4).
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1 - (1 + -6 × 4(2) ÷ 4)
|
| First, we cancel out 4 and 4.
\/
1 - (1 - 6 × 2)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Next, we multiply -6 and 2 to get -12.
1 - (1 - 12)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Then we subtract 12 from 1 to get -11.
1 - (-11)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The opposite of -11 is 11.
1 + 11.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Add 1 and 11 to get, you guessed it, 12!Answer:
Answer: 12
Hope this helps
Answer the question below. Type your response in the space provided. Then compare your answer to the sample answer.
Point B(-2,4) lies on a circle centered at A(1, 3). Write a paragraph proof to determine whether C(4, 2) also lies on the circle.
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x x
Font Sizes
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Characters used: 0/15000
Submit
Answer: see proof below
Step-by-step explanation:
The standard equation of a circle is (x - h)² + (y - k)² = r² where (h. k) is the center of the circle and r is the radius. It is given that A (h, k) = (1, 3) and point B (x, y) = (-2,4) is on the circle. Substitute the center (h, k) and point B(x, y) = (-2,4) into the standard equation of a circle to get r² = 10. To prove that C(x, y) = (4, 2) is also a point on the circle, substitute the center (h, k) and the point C(x, y) = (4, 2) into the standard equation of a circle to get r² = 10. Since the radius is the same for both point B and point C and it is given that point B is on the circle, then we must conclude that point C is also on the circle.
Answer:
I am given that the center of a circle is at A(1, 3) and that point B(-2, 4) lies on the circle. Applying the distance formula to A and B, I get the following:
AB=Square Root ( (-2 - 1 )^2 + (4 - 3 )^2 ) = Square root ( 9 + 1 )
AB = Square root (10)
Since B lies on the circle, this length is the length of the radius of the circle. Applying the distance formula to A and C(4, 2), I get the following:
AC = Square Root ( ( 4 - 1 )^2 + (2 - 3 )^2 ) = Square root ( 9 + 1 )
AC = Square root (10)
Thus, the distance to C from the center A is equal to the length of the radius of the circle. Any point whose distance from the center is equal to the length of the radius lies on the circle. Therefore, point C lies on the circle.
Step-by-step explanation:
Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a function of time, x, in seconds. What is the maximum height the ball reaches?
Answer:
The maximum height the ball reaches is 64 feet
Step-by-step explanation:
The given function is f(x) = -16·(x - 2)² + 64
From the equation, the path described by the ball is an inverted n-shaped parabola
The maximum height is therefore, the tip of the parabola
At the maximum height, the slope = 0 because the tip is momentarily flat
Since the slope (y₂ - y₁)/(x₂ - x₁) = The derivative Δy/Δx, we find the derivative of the function and equate it to zero to find the coordinates at the maximum height
Δy/Δx = dy/dx = d(-16·(x - 2)² + 64)/dx = -32·(x - 2) = -32·x + 64
To check if it is a maximum, we have;
d²y/dx² = d(-32·x + 64)/dx = -32 which is negative, indicating that the slope is reducing and we at the maximum point of the slope
Therefore for the maximum height Δy/Δx = dy/dx = -32·x + 64 = 0
64 = 32·x
x = 64/32 = 2 seconds
We now have the x-value at the slope, the f(x) value, is therefore;
f(2) = -16·(2 - 2)² + 64 = 64 feet
Therefore, the maximum height the ball reaches is 64 feet.
Answer:
D: 6
Step-by-step explanation:
I got it right on the test Edge nuity
If the function 5x + y = 1 has the domain {-2, 1, 6}, then what is the corresponding range?
Answer:
{ 11, -4, -29}
Step-by-step explanation:
5(-2) + y = 1
-10 + y = 1
y = 11
5(1) + y = 1
y = -4
5(6) + y = 1
30 + y = 1
y = -29
Answer:
The Range is the set: { -29, -4, 11 }
Step-by-step explanation:
You need to apply the given function to the x-values of the Domain, to find what values of the Range they are associated with. So let's start by isolating y on one side of the expression:
y = 1 - 5 x
Now let's find what values they result when x = -2, 1, and 6:
y = 1 - 5 (-2) = 1 + 10 = 11
y = 1 - 5 (1) = 1 - 5 = -4
y = 1 - 5 (6) = 1 - 30 = -29
Therefore the Range is the set: { -29, -4, 11 }
Does coordinate p or coordinate q represent a greater number?
PLEASE HELP!!
Answer: the answer is P
Step-by-step explanation:
Simplify 7^ -5/6 x 7^-7/6
Answer:
1/49
Step-by-step explanation:
If you add this is the calculator, I think it will come out.
━━━━━━━☆☆━━━━━━━
▹ Answer
1/49
▹ Step-by-Step Explanation
7^-5/6 * 7^-7/6
= 1/7²
= 1/49
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Question 1 (
Multiple Choice Worth 3 points)
(07.04)
The cost of 3 slices of pizza is $4.89. What is the cost of each slice of pizza?
O $1.63
$1.89
O $2.45
O $2.88
Answer:
Each slice of pizza cost:
$1.63
Step-by-step explanation:
4.89/3 = 1.63
Answer:
$1.63
Step-by-step explanation:
We want to find the cost per slice of pizza. Therefore, we must divide the total cost by the number of slices of pizza.
cost / slices
It costs $4.89 for 3 slices.
$4.89 / 3 slices
Divide 4.89 by 3 (4.89/3=1.63)
$1.63 / slice
The cost of each slice of pizza is $1.63
To determine the relative effectiveness of different study strategies for the SAT, suppose three groups of students are randomly selected: One group took the SAT without any prior studying; the second group took the SAT after studying on their own from a common study booklet available in the bookstore; and the third group took the SAT after completing a paid summer study session from a private test-prep company. The means and standard deviations of the resulting SAT scores from this hypothetical study are summarized below:
Using the following output:
we can conclude that:
(a) the data provide strong evidence that SAT scores are related to learning strategy.
(b) the data provide strong evidence that SAT scores are related to learning strategy in the following way: The mean SAT score for students who pay for coaching is higher than the mean SAT score for students who study themselves, which in turn is higher than that of students who do not study for the test.
(c) the data provide strong evidence that the three mean SAT scores (representing the three learning strategies) are not all equal.
(d) the data do not provide sufficient evidence that SAT scores are related to learning strategy.
(e) Both (a) and (c) are correct.
Answer:
(b) the data provide strong evidence that SAT scores are related to learning strategy in the following way: The mean SAT score for students who pay for coaching is higher than mean SAT score for students who study themselves, which in turn is higher than those students who do not study for test.
(c) The data provide strong evidence that the three mean SAT scores (representing the three learning strategies) are not all equal.
Step-by-step explanation:
Relative effectiveness is to study the extent to which an intervention of a thing does more good than harming it when two or more alternative interventions are observed. In the given question the SAT mean score for students who are paying higher for coaching than those student who believe in self study.
You are hiking and are trying to determine how far away the nearest cabin is, which happens to be due north from your current position. Your friend walks 245 yards due west from your position and takes a bearing on the cabin of N 22.6°
e. How far are you from the cabin?
Answer:
589 yards
Step-by-step explanation:
This is a question that requires the use of trigonometric functions.
The trigonometric function to be used here is the tangent function.
tan θ = Opposite side/ Adjacent side
In the question, we are told
Your friend walks 245 yards due west from your position = Opposite side
Your friend's takes a bearing on the cabin of N 22.6° = θ
Your distance from the cabin = Adjacent side
Hence,
tan 22.6 ° = 245/ Adjacent side
Cross Multiply
Adjacent side = 245/ tan 22.6°
Adjacent side = 588.57469726 yards.
Therefore, your distance from the cabin approximately to the nearest yard(whole number) = 589 yards
Identify the sample as biased or unbiased and describe its type. John wanted to know about the popularity of a particular movie. He surveyed 20% of the people in 5 different theaters.
Answer: unbiased; simple random sampling
Step-by-step explanation:
From the question, we are informed that John wanted to know about the popularity of a particular movie and that he surveyed 20% of the people in 5 different theaters.
This is an unbiased sample. This is because everybody at the theaters have an equal chance of being chosen by John.
Also, it's a simple random sampling. This is because a subset of the entire population is randomly selected.