Answer:
The solution to the equation [tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex] is [tex]\mathbf{x=-8}[/tex]
Option A is correct option.
Step-by-step explanation:
What is the solution to the equation [tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex]
Solving the equation
[tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex]
Subtracting 2 on both sides
[tex]\frac{1}{4}x+2-2=\frac{-5}{8}x-5-2\\\frac{1}{4}x=\frac{-5}{8}x-7[/tex]
Adding 5/8x on both sides
[tex]\frac{1}{4}x+\frac{5}{8}x=\frac{-5}{8}x-7+\frac{5}{8}x\\\frac{2x+5x}{8}=-7 \\\frac{7x}{8}=-7[/tex]
Multiply both sides by 8/7
[tex]\frac{7x}{8}\times \frac{8}{7}=-7 \times \frac{8}{7}\\x=-8[/tex]
So, we get x = -8
The solution to the equation [tex]\frac{1}{4}x+2=\frac{-5}{8}x-5[/tex] is [tex]\mathbf{x=-8}[/tex]
Option A is correct option.
Solve by substitution:
4r + 5y = 2
y = 2x + 6
Write the linear equation that gives the rule for this table.
x f(x)
0 0
1 9
2 18
3 27
Answer:
[tex]f(x) = 9x[/tex]
Step-by-step explanation:
Given
The attached table
Required
Rule of the table
First, we calculate the slope(m)
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (3,27)[/tex]
[tex]m = \frac{27 -0}{3 - 0}[/tex]
[tex]m = \frac{27}{3}[/tex]
[tex]m = 9[/tex]
The table equation is:
[tex]y - y_1 = m(x - x_1)[/tex]
So, we have:
[tex]y - 0 = 9(x - 0)[/tex]
[tex]y - 0 = 9(x)[/tex]
[tex]y= 9x[/tex]
Hence:
[tex]f(x) = 9x[/tex]
Consider the function rule f(x)=9x-7.
a. Find f(4)
I
b. Find f(-2)
Show or explain how the equation 9x-7=65 can be solved using an "undoing process." Report a
solution to the equation.
C.
Answer:
you show by adding step by step
Step-by-step explanation:Consider the function rule f(x)=9x-7.
a. Find f(4)
I
b. Find f(-2)
Show or explain how the equation 9x-7=65 can be solved using an "undoing process." Report a
solution to the equation.
C.
the boss gives all his employees a 6% raise, paul used to earn $11 an hour now he earns
Answer:
Now he earns $11.66 per hour.
Step-by-step explanation:
6% raise
This means that now the employees will earn 100% + 6% = 106% = 1.06 of the previous amount they earned, that is, their previous earnings will be multiplied by 1.06.
Paul used to earn $11 an hour now he earns
Multiplying by 1.06
11*1.06 = 11.66
Now he earns $11.66 per hour.
Find the y-component of this
vector:
Answer:
The y-component of the vector is approximately -67.844 meters.
Step-by-step explanation:
A vector [tex]\vec v[/tex] in rectangular form are defined by the following form:
[tex]\vec v = (r\cdot \cos \theta, r\cdot \sin \theta)[/tex] (1)
Where:
[tex]r[/tex] - Magnitude, measured in meters.
[tex]\theta[/tex] - Direction with respect to +x semiaxis, measured in sexagesimal degrees.
Please notice that the y-component of the vector corresponds to the second component of the definition. If we know that [tex]r = 101\,m[/tex] and [tex]\theta = 222.2^{\circ}[/tex], then the y-component of the vector is:
[tex]y = r\cdot \sin \theta[/tex] (2)
[tex]y = (101\,m)\cdot \sin 222.2^{\circ}[/tex]
[tex]y \approx -67.844\,m[/tex]
The y-component of the vector is approximately -67.844 meters.
plsplsplspls answer this ):
Answer:
f(x)=x
Step-by-step explanation:
if its on center (0,0) with no add on then its like that. if it was f(x)= x+2 it would be elevated by 2 points. hope this helps!
A rectangular prism has a length of 8 meters, a width of 6 meters, and a height of 3 meters.
Which equations could be used to determine the volume, V, of the prism?
Select each correct answer.
A)V = 8 × 9
B)V = 8 × 6 × 3
C)V = 8 × 6 × 6
D)V = 48 × 3
what is the equation for -5x+6y=12 y=5/6x+2
Step-by-step explanation:
-5x + 6y = 12
y = 5/6x + 2
_______________-5x + 6y = 12
-5x + 6(5/6x + 2) = 12
-5x + 5x + 12 = 12
x real numbers
(x, y) = (x, 2 + 5/6 x)
HELPP now plssss!!!!!
which statement about the graph of y=8(0.25)^x is true?
Answer:
G The coordinates of the y-intercept are (0, 8).
Step-by-step explanation:
An exponential function does not have a vertical asymptote. This one has a horizontal asymptote at y = 0.
The y-intercept is the value of ...
f(0) = 8(0.25^0) = 8(1) = 8 . . . . . the point (0, 8)
The graph includes the point ...
(2, f(2)) = (2, 1/2)
At a local coffee shop, the manager has determined that 56% of drink orders are for specialty espresso drinks and 44% are for plain coffee. The manager also noted that 40% of customers order food. For customers who purchase the specialty espresso drinks, 35% also purchase a food item, and for customers who purchase plain coffee, 30% also purchase a food item. What is the probability that a randomly chosen customer will purchase a specialty espresso drink and a food item?
Answer:
0.196
Step-by-step explanation:
Let :
Expresso drink = A
Plain coffee = B
Food = F
P(A) = 0.56
P(B) = 0.44
P(F) = 0.40
P(F|A) = 0.35
P(F|B) = 0.30
Probability that a customer purchases a specialty expresso coffee and a food item :
P(F|A) =. P(F n A) / P(A)
P(F n A) = P(F|A) * P(A)
P(F n A) = 0.35 * 0.56
P(F n A) = 0.196
Line segment _________________ is part of Line ____________________. Point ____________ is the vertex of angle
PQR. QR, QS, Q QR, QP, R QP, QS, Q QS, QR, P
Answer:
QR, QS, Q
Step-by-step explanation:
It is found that Line segment QR is part of Line QS. Point Q is the vertex of angle
What is a line segment?A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).
The point of their joint is called vertex of that angle.
If the ray lies onto the considered line segment(overlapping), then it can be said belonging to the considered line segment.
A line segment has 2 fixed ends, whereas a ray has one end only, other end is not fixed.
We can conclude that Line segment QR is part of Line QS. Point Q is the vertex of angle
Learn more about a point dividing a line segment in a ratio here:
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This is due todayso like help☝
Answer:
2. 84= 0.84
3. 32%= 8/25
4. 32%= 0.32
Step-by-step explanation:
Answer all 6 questions and the topic is about ordering decimals.
Answer:
0.9, 0.75, 0.66, 0.62, 0.59
0.92, 0.85, 0.49, 0.38, 0.23
0.08, 0.11, 0.46, 0.51, 0.72
0.02, 0.1, 0.15, 0.33, 0.88
0.96, 0.79, 0.67, 0.4, 0.24
0.09, 0.28, 0.37, 0.4, 0.55
Help Please!!! I have too turn in my assignment right now!!!
Answer:
11/18
Step-by-step explanation:
Evaluate the equation.
a + 6.6 = 12.6
A. a = 5
B. a = 6
C. a = 18.2
D. a = 19.2
Answer:
[tex]a = 6[/tex]
Step-by-step explanation:
subtract 6.6 from both sides and you get the answer
A group of people was randomly selected and asked how many hours per day each person spends shopping online. The results of the survey are displayed in the following histogram:
Histogram with frequency on y-axis and hours on x-axis with bars starting on x. Bar at 1 goes to 5. Bar at 2 goes to 8. Bar at 3 goes to 8. Bar at 4 goes to 6. Bar at 5 goes to 4. Bar at 6 goes to 2. Bar at 7 goes to 3. Bar at 8 goes to 1. Bar at 9 goes to 2. Bar at 10 goes to 0. Bar at 11 goes to 1.
What percentage of the people surveyed spend less than 2 hours per day shopping online? (4 points)
12.5%
20%
32.5%
52.5%
Answer:
12.5
Step-by-step explanation:
took this test
Ana played 4444 rounds of golf and then played her lowest round of golf with a score of 80808080.
The scores of the first 4 rounds\blueD{\text{first 4 rounds}}first 4 roundsstart color #11accd, start text, f, i, r, s, t, space, 4, space, r, o, u, n, d, s, end text, end color #11accd and the lowest round\purpleC{\text{lowest round}}lowest roundstart color #aa87ff, start text, l, o, w, e, s, t, space, r, o, u, n, d, end text, end color #aa87ff are shown in the following dot plot.
A dot plot has a horizontal axis labeled, Golf score, marked from 80 to 100, in increments of 1. 1 dot is plotted above each of the following values: 80, 90, 92, 94, 96. The dot above 80 is shaded purple.
How did the lowest round\purpleC{\text{lowest round}}lowest roundstart color #aa87ff, start text, l, o, w, e, s, t, space, r, o, u, n, d, end text, end color #aa87ff affect the mean and median?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The median decreased, and the mean increased.
(Choice B)
B
The mean decreased, and the median increased.
(Choice C)
C
Both the median and mean decreased, but the mean decreased by more than the median.
(Choice D)
D
Both the median and mean decreased, but the median decreased by more than the mean.
Answer:
I'm going to chose B sorry if that the wrong answer
Answer:
It's C
Step-by-step explanation:
Lily likes to collect records. Last year she had 10 records in her collection. Now she has 13 records. What is the percent increase of her collection?
Answer:
33.3%
Step-by-step explanation:
she gained a third of what she originally had
Harry's math test scores are listed below.
95, 90, 85, 40, 100, 100, 95, 100, 85, 90
Which measure of central tendency most closely describes Harry's overall
performance on the math tests?
Answer:
Mode
Step-by-step explanation:
The mode is the measure of the central tendency in which the number is appeared many times
As in the given situation
The 100 would be appear 3 times
So this represent the mode
Hence, the mode that measures the central tendency is most close and describe the math test performance
Emma made $17.00 per hour, gets a 8% raise, and works 35 hours per week. Will she now earn at least $600 per week?
A: Yes, she will make $642.60 each week.
B: No, she will only make $585 each week.
C: No, she will make $47.60 each week.
D: No, she will only make $547.40 each week.
$17 +1.54=$18.53×35hrs=648.55
10%of 17=1.7
5%=0.85
1%=0.17×4=0.68
0.68+0.85=1.53
maybe its A?
Solve for t.
-35 = 7t
O t= -5
Ot=-
O t = 28
Of = 42
Answer:
Literally divide by 7 and you get -5
Here is a tricky but fun problem involving large exponents or high powers.
Which of the following numbers is greater, 31¹³ or 17¹⁷?
Answer:
17 ^17
Step-by-step explanation:
Its power is bigger
You shouldn't be tricked because 31 is more than 17
Step-by-step explanation:
Notice that 31 + 1 = 32 = 2⁵ and 17 - 1 = 16 = 2⁴.
31¹³ < 32¹³
= (2⁵)¹³ = 2⁶⁵
= 2(2⁴)¹⁶ = 2 * 16¹⁶
< 16¹⁷ < 17¹⁷.
Hence 17¹⁷ is greater than 31¹³.
Sean is paid biweekly. His annual salary is $42,500. What is his biweekly salary to the nearest cent?
Answer: $1,634.62
Step-by-step explanation:
There are 52 weeks in a year. However, Sean does not get paid every week, he gets paid every other week. 52/2 = 26, thus he gets paid 26 times a year.
His annual salary is 42,500. To figure out his salary in each paycheck, divide the net salary by the number of pay periods per year. In this case 42,500/26.
42500/26 = 1,634.62 (rounded to the nearest cent)
The oldest child in a family of four children is twice as old as the yougest. The two middle children are 12 and 16 years old. If the average age of the children is 13.75 , how old is the youngest child?
Answer:SOLUTION: The oldest child in a family of four children is twice as old as the yougest. The two middle children are 13 and 15 years old. If the average age of the children is 14.5 ,
Step-by-step explanation:
Out of 35,000 students only 36% past how many students failed
Answer:
22,400
Step-by-step explanation:
If 36% passed that means 64% failed
64% of 35,000 would get you your answer
0.64(35,000)= 22,400
Answer:
12,600
Solution:
35,000 - students
x .36 - passing student
= 12,600 - student who failed
Which score has the highest relative position: a score of 38 on a test with a mean of 30 and a standard deviation of 10, a score of 4.2 on a test with a mean of and a standard deviation of or a score of 432 on a test with a mean of and a standard deviation of (Assume that the distributions being compared have approximately the same shape.)
Answer:
A score of 4.2 on a test with a mean of 2.5 and a standard deviation of 1.2 has the highest relative position.
Step-by-step explanation:
Which score has the highest relative position: a score of 38 on a test with a mean of 30 and a standard deviation of 10, a score of 4.2 on a test with a mean of 2.5 and a standard deviation of 1.2 or a score of 432 on a test with a mean of 396 and a standard deviation of 40.
In order to find the solution, we need to calculate the z score value for each test.
The z score formula: [tex]z = \dfrac{\bar{x} -\mu}{s}[/tex] where [tex]\bar{x}[/tex] is the score, μ is the mean and s is the standard deviation.
Now for test 1:
Put [tex]\bar{x}=38, \mu=30 \text{ and } s=10[/tex] in the above formula.
[tex]z = \dfrac{38 -30}{10}[/tex]
[tex]z = 0.8[/tex]
For test 2:
Put [tex]\bar{x}=4.2, \mu=2.5 \text{ and } s=1.2[/tex] in the above formula.
[tex]z = \dfrac{4.2 -2.5}{1.2}[/tex]
[tex]z \approx 1.417[/tex]
For test 3:
Put [tex]\bar{x}=432, \mu=396 \text{ and } s=40[/tex] in the above formula.
[tex]z = \dfrac{432 -396}{40}[/tex]
[tex]z =0.9[/tex]
Since the z score value of test 2 is greater so a score of 4.2 on a test with a mean of 2.5 and a standard deviation of 1.2 has a highest relative position.
What is the value of x in the equation Negative StartFraction 5 over 8 EndFraction x = negative 160?
Answer:
x= 256
Step-by-step explanation:
[tex]-\frac{5}{8}x=-160\\\\-[-\frac{5}{8}x]=-[-160]\\\\\frac{5}{8}x=160\\\\8[\frac{5}{8}x]=8[160]\\\\5x=1280\\\\\frac{1}{5}[5x]=\frac{1}{5}[1280]\\\\x=256[/tex]
Answer:
x=256
Step-by-step explanation:
When a number n is decreased by 7 and then the result is multiplied by 4, the product is equal to 88. Write
an equation and solve it to find the value of n.
Answer:
n=29
Step-by-step explanation:
Not sure how to write an equation for it.
But, I did 88 divided by 4 which is 22 then plus 7 29
88/4+7=n that is the best I can think of.
If a number n is decreased by 7 and then the result is multiplied by 4, the product is equal to 88. The equation is 4(n-7)=88 and value of n is 24.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
a number n is decreased by 7 and then the result is multiplied by 4
Decreased means subtracted, the number seven is subtracted from n, which gives us n-2.
Then n-2 is multiplied by 4
4(n-2)
the product is equal to 88.
4(n-2)=88
Now we need to solve for n.
Apply distributive property on left hand side
4n-8=88
Add 8 on both sides
4n=96
Divide both sides by 4
n=24
Hence the value of number n is 24 and the Equation for sentence is 4(n-7)=88.
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Which fraction is equivalent to the decimal 0.68 with line on top?ILL GIVE WHO EVER BRAINLIEST
A. 31/45
B. 682/999
C. 62/99
D. 2/3
B)682÷999×100=68.268 which is the closest of all of them