Answer:
y-4=-5/2x+6
y=-5/2x+6+4
y=-5/2x+10
Find the measures of the angles.
(8x-1)º
(3x + 4)º
(3x + 9)
°
95, 40, 45
90, 25, 65
80, 52, 48
70, 68, 42
Answer:
answer is - 95, 40, 45
Step-by-step explanation:
Since the interior angles of a triangle add up to be 180 degrees, I set up the equation like so:
(8x-1)+(3x + 4)+(3x + 9) = 180
=> 14x +12 = 180
=> 14x = 180-12
=> x = 168/14 = 12
now putting value of x = 12
we get---
8*12 -1 = 96-1 = 95
3*12 + 4 = 36+4 = 40
3*12 + 9 = 36 + 9 = 45
( Answer )
f(x) = x g(x) = 1
What is the domain of (
g
f
) (x)?
Answer:
[tex]x\neq 0[/tex]
Step-by-step explanation: the domain[tex]0[/tex]⇒[tex]x{}[/tex]∈[tex]R[/tex]-{0}
what is the decimal expansion for 7 over 9
Answer:
0.77777777......
Step-by-step explanation:
You divide them. Hope I helped!
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ANY EXAPLE OF DISTRIBUTIVE PROPERTY FAST!!!
Answer:
My example: 7(2 + 7) = 7(2) + 7(7)
Formula: x(y + x) = x*y + x*x
Step-by-step explanation:
The distributive property can be represented by the following equation:
x(y + x) = x*y + x*x
Since you are looking for any example, let's plug in a few numbers to the above equation.
Ex) x = 7, y = 2
The example equation with these values is 7(2 + 7)
Solving With Distributive Property:
x(y + x)
Substitute
7(2 + 7)
Simplify using distributive property
7(2) + 7(7)
14 + 49 = 63
Solving using PEMDAS and solving inside the parenthesis first
7(2 + 7)
7(9)
63
The above is an example of solving/siplifying equations with and without the Distributive Property.
Since these numbers are the same, we can conclude that the formula for the distributive property above is correct.
Again, you are looking for an example, so simply pick a value for x and y and substute into this equation: x(y + x) = x*y + x*x
I used 7 and 2 above, but any numbers will work as you are distributing the value outside the parenthesis.
Hope this helps! Let me know if you have any questions.
PEMDAS simpliy means that the solving of equations can be solved by going in the following order:
- Parenthesis (P)
- Exponents (E)
- Multiplication and Division left to right of the expression/equation (M/D)
- Addition and Subtraction (A/S)
This is just a helpful little refrence when applying the order of operations.
if l || m,find the value of x, (8x + 20) (11x-31)
Answer:
x=17
Step-by-step explanation:
8x+20=11x-31
We simplify the equation to the form, which is simple to understand
8x+20=11x-31
We move all terms containing x to the left and all other terms to the right.
+8x-11x=-31-20
We simplify left and right side of the equation.
-3x=-51
We divide both sides of the equation by -3 to get x.
x=17
Answer:
17
Step-by-step explanation:
8x + 20 = 11x - 31
-8. -8
20 = 3× - 31
+31. +31
51 = 3x
/3. /3
x = 17
You start an account with $2,500 and an annual interest rate of 6.5% compounded yearly. How much is in the account after 7 years?
I need an expression and a solution
I'm pretty sure it's this:
Answer:
y=a( 1+ r/n)^ nt
growth is a= 2500 yearly is n= 1
y= 2500( 1+ .065/1)^ 1.7 = $3884.97
you have a bill of $56.40. find a 15% tip?
Answer:
$8.46
Step-by-step explanation:
15%=0.15
56.40(0.15)
8.46
How many solution does the following equation have -5 + 7x = 7x + 5
Answer:
No solution
Step-by-step explanation:
Because when you add 5 on both sides to take away the negative 5 it does not show a true statement. Since:
7x does not equal 7x + 10
In need of help for geometry
which value represents solutions to cos(π/4-x) = √2/2sinx, where x [0, 2π)
The solution of the trigonometric equation are, [tex]x=\frac{\pi}{2},\frac{3\pi}{2}[/tex]
Trigonometric equation:
Given equation are,
[tex]cos(\frac{\pi}{4} -x)=\frac{\sqrt{2} }{2}sinx[/tex]
We know that, [tex]cos(A-B)=cosA cosB+sinAsinB[/tex]
[tex]cos(\frac{\pi}{4} -x)=\frac{\sqrt{2} }{2}sinx\\\\cos\frac{\pi}{4} *cosx+sin\frac{\pi}{4} *sinx=\frac{\sqrt{2} }{2}sinx\\\\\frac{\sqrt{2} }{2}cosx+\frac{\sqrt{2} }{2}sinx=\frac{\sqrt{2} }{2}sinx\\\\\frac{\sqrt{2} }{2}cosx=0\\\\cosx=0\\\\x=\frac{\pi}{2},\frac{3\pi}{2}[/tex]
Hence, The solution of the trigonometric equation are, [tex]x=\frac{\pi}{2},\frac{3\pi}{2}[/tex]
Learn more about the trigonometric equation here :
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pls hurry ill make brainliest!
The tape diagram represents an equation.
20
9
9
Write an equation to represent the tape diagram.
Choose 1 answer:
А
20 = 9:2
B
20 = 2g
Find the value of g that makes the equation true.
9
Answer:
B.
g= 10
Step-by-step explanation:
Please help ASAP
Complete the explanation to determine whether each statement is always, sometimes, or never true. If line d is perpendicular to line e, then the slope of line e is 0.
If line d is vertical, then line e is (parallel, vertical, or horizontal) and has a slope of 0. The statement is (always, sometimes, or never) true.
Answer:
Step-by-step explanation:
We know that, two lines with same slope are parallel.
Thus two lines with same positive slopes are parallel.
⇒Two lines with positive slopes are sometimes parallel.
Two lines with same slope can never be perpendicular to each
other as they must be parallel.
Solve for x: 5x + 15 = 28
Answer:
[tex]x=\frac{13}{5}[/tex]
Step-by-step explanation:
In order to get the answer to this question you need to subtract and divide on both sides.
[tex]5x + 15 = 28[/tex]
Minus 15 on both sides:
[tex]28-15=13[/tex]
[tex]5x=13[/tex]
Divide 5 on both sides:
[tex]13\div5=\frac{13}{5}[/tex]
[tex]x=\frac{13}{5}[/tex]
Hope this helps.
Ariel and her friends purchased some drinks and pizza slices at the snack bar. Each drink cost $2, and each pizza slice was $4. They purchased 9 items and spent a total of $28. Write a system of equations to represent this situation, using d to represent the number of drinks, and p to represent the number of pizza slices
Answer:
[tex]\left\{ \begin{array}{ll} 2d+4p=28 \\ d+p=9 \end{array}[/tex]
Step-by-step explanation:
We are letting d represent the number of drinks and p represent the number of pizza slices.
We know that each drink d costs $2. We also know that each pizza slice p costs $4. They spent a total of $28. Therefore:
[tex]2d+4p=28[/tex]
We also know that 9 items was purchased all together. So, the total number of drinks d and pizza slices p sum to 9:
[tex]d+p=9[/tex]
Therefore, our system of equations is:
[tex]\left\{ \begin{array}{ll} 2d+4p=28 \\ d+p=9 \end{array}[/tex]Use the diagram to solve. What is 260% of 6? Percent Total 100% 100% 20% 20% 20% 260% 3.6 9.6 15.6 21.6
Answer:
To find this, multiply 6 by the decimal value of the percent.
6*2.6=15.6
Final answer: 15.6
Step-by-step explanation:
Answer:
15.6 or c
Step-by-step explanation:
What is your average speed in miles per hour and in feet per second if you travel a mile in 18 minutes?
Answer:
3.3 mph
4.84 ft/s
Step-by-step explanation:
Convert 1 mile into feet and 18 minutes into seconds. You should get 4.84 then convert 4.84 ft/s into mph.
The temperature drops from 7°F to -17°F. By how much did the temperature decrease?
Answer:
24 degrees
Step-by-step explanation:
If you use 0 as kind of a benchmark it is really useful, frist you subtract 7, because it is our positive number., then you subtract 17 from 0, making -17.
7+17=24
what is a square of 1.5cm
Answer:
a square with 1.5 cm width and height
Answer:
2.25
Step-by-step explanation:
1.5 * 1.5 = 2.25.
Please answer this correctly without making mistakes
Answer:
First figure out how many cups are in a gallon. 16 .
Next multiply 16×3= 48
Finally you divide price per cup or 20.16/ 48.
The cost is .42 cents per cup.
What is 20 divided by 740 with remainder
Answer:
37 R0
Step-by-step explanation:
740/20=37, so there is no remainder.
I hope this helps you! Have a great day c:
Dividing 20 by 740 gives us remainder 20 and quotient 0.
To find the result of 20 divided by 740 with a remainder,
Perform the division and take note of the quotient and remainder.
20 ÷ 740 = 0 with a remainder of 20.
Division is a mathematical operation that involves splitting a number (the dividend) into equal parts,
with a divisor indicating how many parts we want to split it into.
The quotient is the number of equal parts, and the remainder is what's left after have split the dividend into as many equal parts as possible.
20 divided by 740, we are trying to find out how many times 740 can fit into 20.
Since 740 is much larger than 20, it cannot fit even once.
So, the quotient is 0, indicating that 0 whole units of 740 can fit into 20.
However, there is a remainder of 20.
The remainder represents the portion of 20 that cannot be evenly divided by 740.
It is what remains after we have divided the dividend by the divisor as many times as possible.
Therefore, 20 divided by 740 is 0 with a remainder of 20.
learn more about remainder here
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If three fifths of the 45 students in the math class do not like working with
fractions, how many of the students like working with fractions?
Answer:
18
Step-by-step explanation:
Two fifths like working with fractions.
2/5x45/1=90/5
Hope I helped!
One-fourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The local chief of police estimates that 5 % of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If the garage is robbed, what is the probability the doors ware left open
Answer:
If the garage is robbed, the probability the doors ware left open is 0.625.
Step-by-step explanation:
Denote the events as follows:
X = garage doors open
Y = something is stolen
The information provided is:
P (X) = 0.25
P (Y|X) = 0.05
P (Y|X') = 0.01
Compute probability that the garage is robbed as follows:
[tex]P(Y)=P(Y|X)P(X)+P(Y|X')P(X')\\\\=(0.05\times 0.25)+(0.01\times (1-0.25))\\\\=0.0125+0.0075\\\\=0.02[/tex]
Compute the probability the doors ware left open given that the garage is robbed as follows:
[tex]P(X|Y)=\frac{P(Y|X)P(X)}{P(Y)}\\\\=\frac{0.05\times 0.25}{0.02}\\\\=0.625[/tex]
Thus, if the garage is robbed, the probability the doors ware left open is 0.625.
2. Sara decided to look at new and used vans. Sara found a used van for $3000. A new van is $1500, so what percent of the price of a new van does Sara pay for a used van? Round your answer to the nearest whole number if necessary.
help me please
Answer:
50%
Step-by-step explanation:
Half of 3,000 is 1,500 so she would be paying half, or 50%
Solve this equation.
[tex]\frac{x + 4}{6x} = \frac{1}{x}[/tex]
A. x = -2
B. x = 0, -2
C. x = 2
D. x = 0, 2
Given: ΔABC
m∠1=m∠2
D∈ AC , BD = DC
m∠BDC=100°
Find: m∠A, m∠B, m∠C
Answer:
m∠A = 60°, m∠B = 80°, m∠C = 40°Step-by-step explanation:
Since BD = DC, the triangle BDC is isosceles, so
m∠C = m∠2Having m∠BDC = 100°, we can find m∠C
m∠C = 1/2(180° - 100°) = 1/2(80°) = 40°Finding angle B
m∠B = m∠1 + m∠2 = 2*m∠2= 2*40° = 80°Finding angle A
m∠BDA = 180° - m∠BDC = 180° - 100° = 80°m∠A = 180° - (m∠1 + m∠BDA) = 180° - (40° + 80°) = 180° - 120° = 60°Answer:
m<A=60 degrees, m<B=80 degrees, m<C=60 degrees.
Step-by-step explanation:
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A random survey of 30 students found that 17 played a musical instrument. If the school has 450 students, predict how many do not play an instrument.
Given:
A random survey of 30 students found that 17 played a musical instrument.
Total number of students = 450
To find:
Estimated number of students who do not play an instruments.
Solution:
A random survey of 30 students found that 17 played a musical instrument.
Let E be the event that student play an instrument.
So, probability that a student plays an instrument is
[tex]P(E)=\dfrac{17}{30}[/tex]
Probability that a student do not play an instrument is
[tex]P(E')=1-P(E)[/tex]
[tex]=1-\dfrac{17}{30}[/tex]
[tex]=\dfrac{13}{30}[/tex]
Now, number of students who do not play an instruments is
[tex]450\times P(E')=450\times \dfrac{13}{30}[/tex]
[tex]450\times P(E')=195[/tex]
Therefore, 195 students do not play an instrument.
What is the equation of the line that passes through the point (5,2) and has a slope
of -3/5
Answer:y = -0.6x + 5
Step-by-step explanation:
Answer:
yessir the one on top is right btw
Step-by-step explanation:
hope this helped
What is the missing side? Round your answer to the nearest hundredth if necessary .
Answer:
20......................
what type of angle is 2??
a. Alternate Exterior
b. Alternate Interior
c. Corresponding
d. Linear Pair
e. Same-Side Exterior
f. Same Side Interior
g. Vertical Angles
h. No Relationship
Answer:
Vertical Angles...............
{1.2.3.4.5} set builder
Step-by-step explanation:
A set-builder notation describes or defines the elements of a set instead of listing the elements. For example, the set { 1, 2, 3, 4, 5, 6, 7, 8, 9 } list the elements. The same set could be described as { x/x is a counting number less than 10 } in set-builder notation.
