Answer:
m = 30
Step-by-step explanation:
3/5 (2m-10)=2/3m+10
Distribute
6/5 m - 6 = 2/3m +10
Subtract 2/3 m from each side
6/5 m - 2/3 m - 6 = 2/3m -2/3m +10
6/5 m -2/3m - 6 = 10
Add 6 to each side
6/5 m -2/3m - 6+6 = 10+6
6/5m -2/3m = 16
Get a common denominator of 15
18/15 m - 10/15 m =16
8/15 m = 16
Multiply each side by 15/8
15/8 *8/15 m = 16*15/8
m = 30
You choose a card from a deck of 52 cards. Without replacing the card, you choose a second card. What is the probability of choosing two red cards?
Answer:
25/102
Step-by-step explanation:
P(red) = 26/52 = 1/2
P(red after red) = 25/51
1/2 * 25/51 = 25/102
X2 (6x+ 1) (3x-9) = 0
Answer:
x = 0, [tex]-\frac{1}{6}[/tex], 3
Step-by-step explanation:
Hey there!
Step 1: Regroup terms.
2x(6x + 1) (3x - 9) = 0
Step 2: Solve for x.
x = 0, [tex]-\frac{1}{6}[/tex], 3
~I hope I helped you! :)~
(LOTS OF POINTS)
SOLVE THIS IMAGINARY NUMBER PROBLEM AND *SHOW WORK* PLEASE!
Answer:
The answer is 8.
Step-by-step explanation:
Which expression is equivalent to the expression shown?
4² x 4⁴
Answer:
Answer: 4⁵ x 10⁴
Step-by-step explanation:
= 10⁴ * 4¹⁰⁻⁵
= 10⁴ * 4⁵
= 4⁵ x 10⁴
Answer:
4^6
Step-by-step explanation:
U add the exponents and keep the base the same
Which graph could represent y, the amount owed on a car loan, as regular payments are made each month, x? A graph shows the number of car payments paid on the horizontal axis and amount owed on the vertical axis. The line goes straight up from the x-axis. A graph shows the number of car payments paid on the horizontal axis and the amount owed on the vertical axis. The line starts high on the vertical axis and decreases as it goes along the horizontal axis. A graph shows the number of car payments paid on the horizontal axis and the amount owed on the vertical axis. The line starts in the middle on the vertical axis and increases as it goes along the horizontal axis.
Answer:
its fliping b
Step-by-step explanation:
too on edge
At the San Diego zoo you can either pay $22.75 for the entrance fee or $71 for the yearly pass which entitles you to unlimited admission. At most how many times can you enter the zoo for the $22.75 entrance fee before spending more than the cost of a yearly membership? Write and solve an inequality
Answer:
3
Step-by-step explanation:
3x22.75=68.25 or less than the yearly pass
i need help with
If x = 5, find the value of LaTeX: 16-x16 − x
Answer:
-69
Step-by-step explanation:
16-(5)(16)-(5)
16x5=80
16-80-5
16-80=-64
-64-5=-69
17. The distance traveled at a constant speed varies
directly with the amount of time traveled. Sara
drove 200 miles at a constant speed of 50 mi/hr.
Holly drove for the same amount of time as Sara
but at a constant speed of 65 mi/hr. Find the
distance traveled by Holly. Justify your answer.
Hurry plz
Answer:
260 miles
Step-by-step explanation:
Sara made it to her destination in four hours, while Holly made it to her destination traveling 260 miles. This can be calculated by taking Sara's 200 miles, and dividing it by 50 mph to get a total of four hours spent driving. If Holly is also driving for four hours, but instead traveling at 65 mph, you can take 65 and multiply it by four hours to get a total of 260 miles. Hope this helps!
Which line represents the linear equation
-3y = 15 - 4x?
The equation -3y = 15 - 4x rewritten in slope-intercept
form is
The y-intercept is v and the slope of the line is
Line
is the graph of the line -3y = 15 - 4x.
Answer:
The equation –3y = 15 – 4x rewritten in slope-intercept form is
✔ y = (4/3)x – 5
.
The y-intercept is
✔ –5
and the slope of the line is
✔ 4/3
.
Line
✔ B
is the graph of the line –3y = 15 – 4x.
Line B represents the given linear equation [tex]-3y =15 -4x.[/tex]
Slope intercept form is [tex]y = \frac{4}{3}x-5[/tex]
y-intercept is -5.
Slope of the line is [tex]\frac{4}{3}[/tex].
What is linear equation?" Linear equation is defined as the algebraic expression whose highest exponent of the variable is 1."
Formula used
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Slope intercept form y=mx +c
c = y-intercept
m = slope
According to the question,
Given linear equation,
[tex]-3y = 15-4x[/tex]
Convert the given linear equation in slope intercept form we get,
[tex]y = \frac{4}{3}x-5[/tex]
Compare it with the formula we get,
Slope 'm' = [tex]\frac{4}{3}[/tex]
y-intercept = -5
From the diagram we can have coordinates of line B
[tex]( x_{1} ,y_{1} )= (3,-1)\\\\( x_{2} ,y_{2} )= (0,-5)[/tex]
Substitute the value to get slope of line B,
Slope of line 'B' = [tex]\frac{(-5-(-1))}{0-3}[/tex]
[tex]= \frac{-4}{-3} \\\\=\frac{4}{3}[/tex]
From the diagram y-intercept for line B is -5.
Equation of line B
[tex]y = \frac{4}{3}x-5[/tex]
Hence, slope intercept form is [tex]y = \frac{4}{3}x-5[/tex]. Line B represents the given equation with y-intercept is -5 , Slope of the line is [tex]\frac{4}{3}[/tex].
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The planet Earth is approximately 149.6 million kilometers from the sun. The planet Jupiter is about 5.2 times farther away from the sun than Earth is. What is the approximate distance between Jupiter and the sun?
15.472 million kilometers
77.792 million kilometers
154.72 million kilometers
777.92 million kilometers
Answer:
the answer is 777.92 million kilometers
Step-by-step explanation:
The distance between Jupiter and Sun is 777.92 million km
What is distance?Distance is defined to be the magnitude or size of displacement between two positions.
Given that the distance between Earth and Sun is 149.6 million km and Jupiter is about 5.2 times farther away from the Sun than Earth is,
Therefore, distance between Sun and Jupiter is = 149.6 × 5.2 = 777.92 million km
Hence, the distance between Jupiter and Sun is 777.92 million km
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Which values represent solutions to Cosine (StartFraction pi Over 4 EndFraction minus x) = StartFraction StartRoot 2 EndRoot Over 2 EndFraction sine x, where x Is an element of [0, 2Pi)?
Left-brace 0, pi right-brace
Left-brace 0, StartFraction 3 pi Over 2 EndFraction right-brace
Left-brace StartFraction pi Over 2 EndFraction, StartFraction 3 pi Over 2 EndFraction right-brace
Left-brace pi, StartFraction 3 pi Over 2 EndFraction
Answer:
C.
Step-by-step explanation:
got it right on edge :)
The given trig function consist of trig values of common angles;
The values that represent the solution to [tex]\mathbf{cos \left(\dfrac{\pi}{4} - x\right)} = \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex], x ∈ [0, 2·π) are;
[tex]x = \left\{\dfrac{\pi}{2} , \, or \ \dfrac{3 \cdot \pi}{2} \right \}[/tex]
Reason:
The given function is presented as follows;
[tex]cos \left(\dfrac{\pi}{4} - x\right) = \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex]
Where;
x ∈ [0, 2·π)
We have;
cos(A - B) = cos(A)·cos(B) - sin(A)·sin(B)
[tex]cos \left(\dfrac{\pi}{4} \right) = \dfrac{\sqrt{2} }{2}, \ sin\left(\dfrac{\pi}{4} \right) = \dfrac{\sqrt{2} }{2}[/tex]
Which gives
[tex]cos \left(\dfrac{\pi}{4} - x\right) =\dfrac{\sqrt{2} }{2} \cdot cos \, x + \dfrac{\sqrt{2} }{2} \cdot sin \, x[/tex]
Therefore, we get;
[tex]\dfrac{\sqrt{2} }{2} \cdot cos \, x = \dfrac{\sqrt{2} }{2} \cdot sin \, x - \dfrac{\sqrt{2} }{2} \cdot sin \, x = 0[/tex]
cos x = 0
[tex]cos \left(\dfrac{\pi}{2} \right) = 0[/tex]Therefore;
The possible solutions (x-values) to cos x = 0 are; [tex]0 \leq \dfrac{n \cdot \pi}{2} \leq 2 \cdot \pi[/tex]Where;
n = 1, 3, 5, ...
x ∈ [0, 2·π)
We get;
[tex]x = \left\{\dfrac{\pi}{2} , \, or \ \dfrac{3 \cdot \pi}{2} \right \}[/tex]Learn more here:
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What is the value of 6(2b-4) when b=5?
Answer:
36
Step-by-step explanation:
6(2(5)-4)
6(10-4)
6(6)
=36
You plug in the variable value, then solve :)
Answer:
The value of 6(2b-4) when b=5 is 36.
Step-by-step explanation:
R={(x,y)} y=2x:x€{1,2,3}
Answer:
Question is wrong dear
Which expression is equivalent to 7(3x+5) *
A: 10x+12
B: 3x+35
C: 21x+5
D: 21x+35
A trail runner gets a new map of her favorite mountain. • Her old map has a scale of 1 cm to 100 m. • Her new map has a scale of 1 cm to 500 m. She ran a trail that was 40 cm long on her old map. How long is this trail on her new map?
PLEASE ANSWER
Answer:
The trail on her new map is 8 cm
Step-by-step explanation:
Here, we are interested in knowing the the length of the trail on the new map.
The scale on her old map is 1 cm represents 100 m
While her new map has a scale of 1 cm to 500 m
Now, running a trail of 40 cm on her old map, we need to get the actual distance.
The actual distance will be 40 * 100 = 4,000 m
Now, we shall convert this to the new map scale
We simply convert this to cm in the new map scale by dividing the 4,000 m by 500 m
That would be 4,000/500 = 8 cm
So the trail on her new map is 8 cm
Answer:
The actual distance will be 40 * 100 = 4,000 m
Step-by-step explanation: Now we have to convert the new scale map by dividing the 4,000 m by 500 m so that would be 4,000/500 = 8 cm
1/6+3/4 what is the answer
Answer:
11/12
Step-by-step explanation:
Why does the government charge high taxes on gasoline?
Answer:
Every time you top off your vehicle at the pump, you're paying federal and state gas taxes that are included in the price of every gallon of gasoline. The federal tax, at 18.4 cents per gallon, is meant to help the federal government pay to build and fix things like highways and bridges.
Step-by-step explanation:
Mark me brainliest
Answer: These taxes are meant to do two things — raise money to pay for infrastructure and reflect some of the environmental costs of driving. Unlike most taxes, gas taxes are charged as a flat charge per liter, rather than as a percentage of the pump price.
what's 9 + 10 ??? please help
Answer:
19
Step-by-step explanation:
Answer:19
Step-by-step explanation:
Which table has a constant of proportionality between y and x of 1/5?
Answer:
5
Step-by-step explanation:
[tex]4(3x-2)=16[/tex]
Answer:
x=2
Step-by-step explanation:
12x-8=16
12x=24
x=2
A and B are complementary angles. If mA=(x+8)° and mB =(8x+1),
find the measure of A
Answer:
[tex]\angle A=17\textdegree[/tex]
Step-by-step explanation:
We know that A and B are complementary angles. So, they must add up to 90°. As an equation:
[tex]\angle A+\angle B=90[/tex]
Since we know their equations, substitute:
[tex](x+8)+(8x+1)=90[/tex]
Solve for x. Combine like terms on the left:
[tex]9x+9=90[/tex]
Subtract 9 from both sides:
[tex]9x=81[/tex]
Divide both sides by 9:
[tex]x=9[/tex]
So, the value of x is 9.
We want to find A. So, let's use the equation for A:
[tex]\angle A=x+8[/tex]
Substitute 9 for x:
[tex]\angle A=9+8[/tex]
Add:
[tex]\angle A=17\textdegree[/tex]
So, the measure of A is 17°.
PLEASE HELP ASAP BRAINLIEST
Area is Length x width.
Area = 4x * 5
Area = 20x
Replace A in the inequality:
Now you have 100 <= 20x <= 1,000
Now solve for x by dividing all 3 by 20:
5 <= x <=50
Check to see if they are viable:
4(5) x 5 = 20 x 5 = 100
4(50) x 5 = 200 x 5 = 1,000
Since the lowest number equals 100 and the largest number equals 1,000 all values of x would be viable. The answer is YES.
which is bigger 7/9 or 5/6
Answer:
5/6
Step-by-step explanation:
7/9 and 5/6 can have the same denominator of 54. Now, you can look only at the numerators, 42 and 45. 45 is greater, so 5/6 is greater than 7/9
5/6 is greater than 7/9
What is a fraction?A common fraction is a numeral which represents a rational number. For example 2/3
Given here, 7/9 and 5/6 now 7/9 = 0.777 and 5/6= 0.833
Thus clearly 5/6 >7/9
Hence, 5/6 is greater than 7/9
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Evaluate f(x) = -3x+3 for x=-2
Answer:
9
Step-by-step explanation:
-3*-2 is 6+3 is 9
2 negatives equal a positive when multiplying or dividing
The answer fam is.....9
Will give brainliest whoever answers asap plz it’s.active please
Hurrreyyyy
3y + 6 - y
Please help me
Answer:
2y+6
Step-by-step explanation:
3y+6-y
2y+6
Answer:
2y+6
Step-by-step explanation:
If you are simplifying, combine like terms
3y-y=2y
quadratic equation
4x2 + 6x = 0
Answer:
x = -4 / 3
Step-by-step explanation:
step 1. simplify 4x2 to 8
8+6x=0
step 2. subtract 8 from both sides.
6x = -8
step 3. divide in both sides by 6.
x = - 8 / 6
step 4. simplify 8/6 to 4/3.
x = -4 / 3
Make a Math expression for each of these
$50 per day and $0.25 a mile
$40 per day and $0.30 a mile
Anyone have this answer? (Do not mind that there is one selected already lol.)
Answer:
6 Buckets
Step-by-step explanation:
30-12 =18
18 divided by 3 = 6
Answer:
6
Step-by-step explanation:
30-12=18
18/3=6
You are correct! It's 6 buckets :)
what is 1/4 as a negative exponent
Answer:
1/4 = 1/2² = 2^-2
Step-by-step explanation:
1/4 can be expressed as a negative exponent is 4⁻¹
What is the negative exponent rule?A negative exponent helps to show that a base is on the denominator side of the fraction line. In other words, the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice versa. For example, when you see x⁻³, it actually stands for 1/x³
Given here, 1/4 thus it can be expressed as 4⁻¹
Hence, 1/4 can be expressed as a negative exponent is 4⁻¹
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