Answer:Change values to whole numbers.
Convert any mixed numbers to fractions.
Convert 3 1/8
3 1/8 = 25/8
We now have:
5 : 3 1/8 = 5 : 25/8
Convert the whole number 5 to a fraction with 1 in the denominator.
We then have:
5 : 3 1/8 = 5/1 : 25/8
Convert fractions to integers by eliminating the denominators.
Our two fractions have unlike denominators so we find the Least Common Denominator and rewrite our fractions as necessary with the common denominator
LCD(5/1, 25/8) = 8
We now have:
5 : 3 1/8 = 40/8 : 25/8
Our two fractions now have like denominators so we can multiply both by 8 to eliminate the denominators.
We then have:
5 : 3 1/8 = 40 : 25
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 40 and 25 is 5
Divide both terms by the GCF, 5:
40 ÷ 5 = 8
25 ÷ 5 = 5
The ratio 40 : 25 can be reduced to lowest terms by dividing both terms by the GCF = 5 :
40 : 25 = 8 : 5
Therefore:
5 : 3 1/8 = 8 : 5
Step-by-step explanation:
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.
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
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
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?
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
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:
James and Terry open a savings account that has a 2.79% annual interest rate,
compounded monthly. They deposit $500 into the account. How much will be in the
account after 20 years?
Answer:
The answer should be $279 If im right if not sorry
Step-by-step explanation:
500 x 2.79% x 20 = 279
The slope of the line below is 2. Use the coordinates of the labeled point to find a point-slope equation of the line. (3.10)
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.
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
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)
find the value of 3x-2 when x = 4
Step-by-step explanation:
3x-2 when x=4
3(4)-2
12-2
=10
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)
Solve for t.
-35 = 7t
O t= -5
Ot=-
O t = 28
Of = 42
Answer:
Literally divide by 7 and you get -5
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!
In ΔNOP, o = 720 inches, ∠P=163° and ∠N=16°. Find the length of n, to the nearest 10th of an inch
Answer:
11371.4
Step-by-step explanation:
delta math
The length of n is 11373.1 inches
What is triangle?"It is a polygon having three sides, three vertices.""The sum of all angles of triangle is 180°"
For given example,
As we know for ΔNOP,
[tex]\frac{n}{sinN}=\frac{0}{sinO}=\frac{p}{sinP}[/tex]
We know that the sum of all angle of triangle is 180°
For ΔNOP,
⇒ ∠N +∠O + P = 180°
⇒ 16° + ∠O + 163° = 180°
⇒ ∠O = 180 - 179
⇒ ∠O = 1°
The length of n is,
[tex]\frac{n}{sinN}=\frac{0}{sin1}\\\\n(sin1)=0(sin16)\\\\0.01745(n)=720(0.27564)\\\\n=\frac{198.4608}{0.01745}\\\\n=11373.112\\\\n\approx 11373.1~in.[/tex]
Therefore, the length of n is 11373. 3 inches
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Solve by substitution:
4r + 5y = 2
y = 2x + 6
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.
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
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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.
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]
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
What is the equation of the line that has a slope of 0 and a y-intercept of -2/3
Answer:
[tex]y = x - \frac{2}{3} [/tex]
from
[tex]y = mx + c[/tex]
Step-by-step explanation:
since the gradient of the line is 0
Which system of linear inequalities is represented by the
graph?
+ 3 and 3x - y> 2
O y2x+3
Oy23x+3 and 3x –y> 2
O yzx-
Oy2x+3 and 2x-y> 2
(+ 3 and 3x + y > 2
-2
Answer:
first choice: y≥1/3 x+3 and 3x-y>2
Step-by-step explanation:
The system of linear inequalities is: [tex]y \ge \frac{1}{3}x + 3[/tex] and [tex]3x -y > 2[/tex]
The orange lineThe equation of the orange line is calculated using:
[tex]y = \frac{y_2 - y_1}{x_2-x_1} \times (x -x_1) + y_1[/tex]
This gives
[tex]y = \frac{3- 4}{0-3} \times (x -3) + 4[/tex]
[tex]y = \frac{- 1}{-3} \times (x -3) + 4[/tex]
[tex]y = \frac{1}{3} \times (x -3) + 4[/tex]
Open the bracket
[tex]y = \frac{1}{3}x -1 + 4[/tex]
[tex]y = \frac{1}{3}x + 3[/tex]
The inequality has a thick line, and the upper region is shaded.
So, the inequality is:
[tex]y \ge \frac{1}{3}x + 3[/tex]
The gray lineThe equation of the gray line is calculated using:
[tex]y = \frac{y_2 - y_1}{x_2-x_1} \times (x -x_1) + y_1[/tex]
This gives
[tex]y = \frac{4- 1}{2-1} \times (x -1) + 1[/tex]
[tex]y = \frac{3}{1} \times (x -1) + 1[/tex]
[tex]y = 3 \times (x -1) + 1[/tex]
Open the bracket
[tex]y = 3x -3 + 1[/tex]
[tex]y = 3x -2[/tex]
The inequality has a dotted line, and the right region is shaded.
So, the inequality is:
[tex]y < 3x -2[/tex]
Rewrite as:
[tex]3x -2 > y[/tex]
So, we have:
[tex]3x -y > 2[/tex]
Hence, the system of linear inequalities is:
[tex]y \ge \frac{1}{3}x + 3[/tex] and [tex]3x -y > 2[/tex]
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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:
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
$700 is invested for a year. If the yearly interest rate
is 4.5%, how much interest is earned in one year?
Answer:
the interest amount is $31.50
Step-by-step explanation:
700 multiplied by 0.045 =31.5
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:
This is due todayso like help☝
Answer:
2. 84= 0.84
3. 32%= 8/25
4. 32%= 0.32
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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