Step-by-step explanation:
Simplifying
5x = 3x + 8
Reorder the terms:
5x = 8 + 3x
Solving
5x = 8 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
5x + -3x = 8 + 3x + -3x
Combine like terms: 5x + -3x = 2x
2x = 8 + 3x + -3x
Combine like terms: 3x + -3x = 0
2x = 8 + 0
2x = 8
Divide each side by '2'.
x = 4
Simplifying
x = 4
Answer:
x = -y + 4
Step-by-step explanation:
2y + 5x = 3x + 8
2x + 2y = 8
2x = −2y + 8
x= −y + 4
Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-2x +y = 5
- 4x + 2y = 16
One Solution
O No Solutions
Infinitely Many Solutions
Answer: No Solution
Step-by-step explanation: In picture
x + 4 = -14 im frustraded i need an answer haha hewpppp
Pleaseee help!
Marie was trying to show her friend why -3 × -8 equals a positive product. This is what she wrote:
-3 × 0 = 0
-3 × (?) = 0
-3(8) + -3(-8) = 0
-24 + 24 = 0
What should Marie write in place of the question mark?
A. 8 + 8
B. -8 + (-8)
C. 8 + (-8)
D. -8 + 0
Answer:
C
Step-by-step explanation:
C is the only one that works,.
Answer:
the correct answer is c
Carlos and Jonathan shared $40 in the ratio 5:3. How much money did Jonathan get? (Draw a tape diagram).
PLEASE HELP MEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
carlos got 25 and Jonathan got 15.
Step-by-step explanation:
5+3=8 40/8=5
5×5=25. 5×3=15
The equation 125 + 37.52x = y models the amount of money in your wallet Y is the total amount of dollars and x is the number of weeks from today.
Is the equation in slope intercept form? Explain
If you graphed this situation what would the slope represent? Explain
If you graphed this situation what would the y intercept be and what would it represent?
What units make sense for the slope?
The given equation is 125+37.52x=y, where y is the total amount of dollars and x is the number of weeks
This equation can be re-write as y=37.52x+125
Yes, this equation is in slope-intercept form y=mx+c having a slope, m=37.52 and the intercept, c=125.
Now, check the units,
In equation y=mx+c, units of all the three terms, i.e y, mx and c, are same.
As given that unit of y is dollar, so the unit of c is dollar and unit of [tex]mx[/tex] is also dollar.
As the unit of [tex]mx[/tex] is dollar, so the unit of m is dollar/unit of x.
As given that the unit of x is week, so the unit of m is dollar/week.
Therefore, the y-intercept, c= 125 dollars, and m=37.52 dollar/week.
The unit of the slope is dollars/week, so, the slope of the equation represents the rate of change of money in the wallet per week.
From the graph of the equation, y-intercept, c=125 dollars, is the value of y at x=0 which is the initial amount of money in the wallet.
Which expression is equivalent to 2cos2(StartFraction x Over 2 EndFraction) minus cosine (x)?
0
1
1 – 2cos(x)
1 + 2cos(x)
The expression is equivalent to 1
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given:
2cos²(x/2) - cos(x)
We know
cos x= 2cos²(x/2) + 1
2cos²(x/2) = cos x +1
Then,
2cos²(x/2) - cos(x)
= cos x +1 - cos x
=1
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Answer: B.1
Step-by-step explanation:
I did it on edge
Solve the system using substitution. Check your solution.
2x - y= 65
5y = x
Answer:
The solutions to the system of equations are:
[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]
Step-by-step explanation:
Given the system of the equations
[tex]\begin{bmatrix}2x-y=65\\ 5y=x\end{bmatrix}[/tex]
isolate 'x' for 2x-y
[tex]2x-y=65[/tex]
Add y to both sides
[tex]2x-y+y=65+y[/tex]
[tex]2x=65+y[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{65}{2}+\frac{y}{2}[/tex]
[tex]x=\frac{65+y}{2}[/tex]
[tex]\mathrm{Subsititute\:}x=\frac{65+y}{2}[/tex]
isolate 'y' for [tex]5y=\frac{65+y}{2}[/tex]
[tex]5y=\frac{65+y}{2}[/tex]
[tex]10y=65+y[/tex]
subtract y from both sides
[tex]10y-y=65+y-y[/tex]
[tex]9y=65[/tex]
Divide both sides by 9
[tex]\frac{9y}{9}=\frac{65}{9}[/tex]
[tex]y=\frac{65}{9}[/tex]
[tex]\mathrm{For\:}x=\frac{65+y}{2}[/tex]
[tex]\mathrm{Subsititute\:}y=\frac{65}{9}[/tex]
[tex]x=\frac{65+\frac{65}{9}}{2}[/tex]
[tex]x=\frac{325}{9}[/tex]
The solutions to the system of equations are:
[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]
what is the simplified fractional equivalent of the terminating decimal 0.32
Answer:
8/25
Step-by-step explanation:
Brainliest pls
Answer:
8/25
Step-by-step explanation:
What is the properties used for Blank 1 and 2?
Symmetric Property
Substitution Property
Addition Property
Reflexive Property
Division Property
Answer:
Symmetric Property
Step-by-step explanation:
What is the circumference?
30 ft
Answer:
94.248 feet
1,131.0 inches
94′ 3″ feet and inches
28.727 meters
2,872.7 centimeters
Step-by-step explanation:
If 11 + 11 = 22 and 10 + 12 = 22 then which of the following is true?
A. 11 + 10 = 11 + 12
B. 11 + 11 = 10 + 12
C. 11 + 11 = 12 + 12
D. 10 + 11 = 12 + 13
show your work
Answer:
B. 11+11=10+12
Step-by-step explanation:
11+11 is 22
And 10+12 is 22
So the statement is true because both sides are equal
1. (5pt) In a recent New York City marathon, 25,221 men finished and 253 dropped out. Also,
12,883 women finished and 163 dropped out. We want to use a 0.01 significance level to test
the claim that the rate of those who finish is the same for men and women.
a) Test the claim using a hypothesis test (identify the null hypothesis, alternative hypothesis,
test statistic, critical value (or P-value) and conclusion)
b) Test the claim by constructing an appropriate confidence interval.
Answer:
(a) Explained below.
(b) The 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).
Step-by-step explanation:
The information provided is:
n (Men who finished the marathon) = 25,221
n (Women who finished the marathon) = 12,883
Compute the proportion of men and women who finished the marathon as follows:
[tex]\hat p_{1}=\frac{25221}{25221 +253}=0.99\\\\\hat p_{2}=\frac{12883 }{12883+163}=0.988[/tex]
The combined proportion is:
[tex]\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}\\\\=\frac{25221+12883}{38520}\\\\=0.989[/tex]
(a)
The hypothesis is:
H₀: The rate of those who finish the marathon is the same for men and women, i.e. p₁ - p₂ = 0.
Hₐ: The rate of those who finish the marathon is not same for men and women, i.e. p₁ - p₂ ≠ 0.
Compute the test statistic as follows:
[tex]Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)\cdot [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}[/tex]
[tex]=\frac{0.99-0.988}{\sqrt{0.989(1-0.989)\times[\frac{1}{25474}+\frac{1}{13046}]}}\\\\=1.78[/tex]
Compute the p-value as follows:
[tex]p-value=2\times P(Z>1.78)\\\\=2\times 0.03754\\\\=0.07508\\\\\approx 0.075[/tex]
The p-value of the test is more than the significance level. The null hypothesis was failed to be rejected.
Thus, concluding that the rate of those who finish is the same for men and women.
(b)
Compute the 99% confidence interval for the difference between proportions as follows:
The critical value of z for 99% confidence level is 2.58.
[tex]CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}[/tex]
[tex]=(0.99-0.988)\pm 2.58\times\sqrt{\frac{0.99(1-0.99)}{25474}+\frac{0.988(1-0.988)}{13046}}\\\\=0.002\pm 0.00294\\\\=(-0.00094, 0.00494)\\\\[/tex]
Thu, the 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).
Plz help I’m getting timed
Answer:
$38,465
Step-by-step explanation:
35 x 1,099 = 38,465
If x = 2, what is the value of x(15 - x)?
A.
26
B.
28
C.
13
D.
49
Answer:
A. 26
Step-by-step explanation:
We can just put in the value of x into the equation.
x(15 - x) = 15x - x²
= 15 × 2 - 2²
= 30 - 4
= 26
If pens cost 15 cents, how many can you buy with $3.00?
An object with a motional kinetic energy of 96J. Its velocity is 4m/s. What is its mass?
The expression on the left side of an equation is shown below. Negative 6 x + 6 = box If the equation has an infinite number of solutions, which expression can be written in the box on the other side of the equation? –6 1 Negative 6 x Negative 6 x + 6
Answer:
The answer is -6x + 6
Step-by-step explanation:
For us to have an infinite number of solutions, then, what we have on the right hand side will be exactly what we have on the left hand side
Since we have -6x + 6 on the left hand side
To have infinite number of solutions, what we have on the right hand side will be the same
Thus, we have -6x + 6 on the second side
Answer:
It's D
Step-by-step explanation:
I just did it on edge
Sandra walks 13 miles in 3 hours. At what unit rate does Sandra walk?
A.13 miles
3 hours
B.3 hours
13 miles
c.3 miles
13 hours
D.13/3 miles
1 hour
Answer:
Not sure what is asking,but if it is asking for the equation. Then it is 13/3.
Step-by-step explanation:
A cinema sold 1000 tickets on a Saturday evening. Adult tickets cost £9, children's tickets cost £5, and a total of £6680 was collected
If there are a Adult tickets and cChildren tickets, write down two simultaneous
equations connecting a and c.
Solve your equations to find how many tickets of each kind were sold.
A=
C=
180.2
2. The sum of the measures of the interior angles of a convex polygon is 3060°.
Classify the polygon by the number of sides.
Answer:
enneadecagon
Step-by-step explanation:
Use the expression to complete the statements. (0.5)10 (0.5)10 is the . (0.5) is the of (0.5)10. 10 is the of (0.5)10. A power is another way to write .
Question:
Use the expression to complete the statements.
[tex](0.5)^{10\\[/tex]
________ is the power .
(0.5) is the ________
A ______ is another way to write
Answer:
0.5 is the base
10 is the power
[tex](0.5)^{10\\ = (\frac{1}{2})^{10}[/tex] -- another way to write
Step-by-step explanation:
Given
[tex](0.5)^{10\\[/tex]
Required
Fill ion the gaps
[tex](0.5)^{10\\[/tex] is pronounced as; 0.5 raise to the power of 10
From the above statement, we can deduce the following:
0.5 is the base
10 is the power
Lastly, another way to write [tex](0.5)^{10\\[/tex]
Express 0.5 as a fraction
[tex](\frac{5}{10})^{10}[/tex]
Simplify the fraction
[tex](\frac{5/5}{10/5})^{10}[/tex]
[tex](\frac{1}{2})^{10}[/tex]
Hence:
[tex](0.5)^{10\\ = (\frac{1}{2})^{10}[/tex]
ANSWER ASAP
Which two expressions are equivalent?
A: x(7+4) and 7(x) + 4(x)
B: 7 - (5•x) and (7-5) • x
C: 4(x-9) and 4(x) - 9 (x)
Answer:
Its A
Step-by-step explanation:
Kevyn is visiting France where they use the Euro instead of the dollar to pay for things. His grandparents give him $200 to spend on his trip. How many Euros is that? ($1.00 = 0.85 Euros)
Answer:
200$ equals 170 euros so he will have 170 euros
whats 3,648 dividing 91?
Answer:
40,08791209Step-by-step explanation:
Answer:
Assuming you meant 3,648/91 it would be 40.0989
Step-by-step explanation:
However if you meant 91/3,648 your answer would be 0.0249
Write the unit fraction depicted in the model as a percent.
One-fourth
Answer:
As
1/4×100 = 0.25×100
= 25%
Thus,
1/4 = 25%
Step-by-step explanation:
Given the fraction
1/4
In order to write the fraction 1/4 as a percent, all we need is to multiply 1/4 by 100.i.e.
1/4×100 = 0.25×100
= 25%
Therefore, we conclude that:
1/4 = 25%
Jackson is at colletibles fair. He has exactly $8 and will purchase a collectibles card from a vendor for $5. What percentage will jackson spend on the purchase?
A. 0.625%
B. 3%
C. 40%
D. 62.5%
Please help me out or explain how do i do it, but if you give me the answer ill give you brainliest!
The value of a new car decreases by about 15% in the first year. How much will a car be worth after one year if its initial value was $1,500? If you get stuck, consider using diagrams or a table to organize your work.
Answer:
$12,750
Step-by-step explanation: when you do the math you get it your welcome my G
whats 58% of 200 Show your work
Answer:
116
Step-by-step explanation:
58% of 200 = [tex]\frac{58}{100}*200[/tex]
= 58 * 2
= 116
Answer:
[tex]58\% \: of \: 200 \: is \: 116[/tex]
Love, gocry
What fraction is equivalent to 1/6
A. 3/8
B. 2/8
C. 3/24
D. 4/24
Answer:
C
Step-by-step explanation:
Because 24 divided by 3 = 8 and 3/8 has a denominator of 8 and you divide it by 3
could i have branliest and a heart please
Have a good day :)
A marching band is practicing. The band director sees the drum major hit a drum. How far away is the director if he hears the drumbeat in 0.40 seconds? The speed of sound is 330 m/s.
12 m
132 m
264 m
825 m
Answer:
132 m
Step-by-step explanation:
distance= speed*time
d=0.4*330
=132
The distance between the director and the drum will be; 132 m.
What is speed?Speed can be calculated as the ratio of distance traveled to the time taken.
Sound is a vibrate that move through a medium that can be solid, liquid or gas in the form of mechanical wave. In short, sound is an energy made by vibration.
Noted that the intensity of the sound is decrease by the length of the travel it pass or we can say, the far the sound source from the listener, the minor the sound they can hear.
The formula of the sound in correlation with time of hear and distance is ;
time of hear = speed of sound : distance.
As per data given, time of hear = 0.40s;
speed of sound = 330 m/s.
The distance will be:
Distance= speed x time
d = 0.4 x 330
d = 132
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