Answer:
A. -4
C. 3
Step-by-step explanation:
x² + x - 12 =0
-12 = 4*(-3) and 4+(-3) =1
(x+4)(x-3)=0
x = - 4, x = 3
Multiply the fraction by the whole number. Find the answer as a proper fraction or mixed number in simplest terms. *
3 x 4/5: options
*2 3/5
*1 2/5
*2 1/5
*2 2/5
Answer:
2[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Whole numbers can be seen as the number over 1. So, 3 can also be written as [tex]\frac{3}{1}[/tex]. To do [tex]\frac{3}{1}[/tex] x [tex]\frac{4}{5}[/tex] you just multiply across (3x4 and 1x5). Doing so gets you [tex]\frac{12}{5}[/tex]. Since 12 is bigger than 5, you need to find out how many times 5 fits into 12, which is 2 times. This means 2 is the whole number, however you're still left with 2 from the fraction [tex]\frac{12}{5}[/tex], since 2x5 is just 10. You write the remaining 2 as [tex]\frac{2}{5}[/tex], because that's what the original denominator was. The final answer is 2[tex]\frac{2}{5}[/tex].
Is 124 inches equal too 3 yards 16 inches
Answer:
we are given
length =3 yards and 16 inches
now, we can change it in inches
we know that
1 yard =36 inches
so, we get
length =3*36 inches and 16 inches
length=124 inches
now, we will check each option
option-A:
we can see that this is also 124 inches
so, this is TRUE
option-B:
4 yd 4 in
we can change into inches
we know that
1 yard =36 inches
4 yd 4 in=4*36 inches +4 inch
4 yd 4 in=144 in
this is not equal to 124 in
so, this is FALSE
option-C:
3 yd 1 1/2 in
we know that
1 yard =36 inches
3 yd 1 1/2 in =
3 yd 1 1/2 in =
this is not same as 124 in
so, this is FALSE
option-D:
2 yd 52 in
we know that
1 yard =36 inches
2 yd 52 in
2 yd 52 in
so, this is same
so, this is TRUE
option-E:
10 ft 4 in
we know that
1 feet =12 inches
so,
10 ft 4 in=12*10 +4 in
10 ft 4 in=124 in
this is same
so, this is TRUE
Step-by-step explanation:
So yes 124 is the same as 3 yards and 16 inches
Hope this helps!!!
Work Shown:
1 foot = 12 inches
3 feet = 36 inches (multiply both sides by 3)
1 yard = 3 feet
1 yard = 36 inches (replace "3 ft" with "36 in")
3 yards = 108 inches (multiply both sides by 3)
3 yards, 16 inches = 3 yards + 16 inches
3 yards, 16 inches = 108 inches + 16 inches
3 yards, 16 inches = 124 inches
The net of a rectangular prism and its dimensions are shown in the diagram.
7.5 in.
7.5 in.
3 in.
3 in.
11.5 in.
11.5 in.
What is the total surface area of the rectangular prism in square inches?
A 143.25 in.2
B 241.5 in.?
C 258.75 in
D 286.5 in.?
Answer:
D.
Step-by-step explanation:
Given: Dimensions of a rectangular prism are [tex]7.5\,\,inches,3\,\,inches\,,\,11.5\,\,inches[/tex]
To find: total surface area of the rectangular prism in square inches
Solution:
Length of the rectangular prism (l) = 7.5 inches
Breadth of the rectangular prism (b) = 3 inches
Height of the rectangular prism (h) = 11.5 inches
Total surface area of the rectangular prism = 2(lb+bh+hl)
= [tex]2(7.5\times3+3\times11.5+11.5\times7.5 )[/tex]
[tex]2(7.5\times3+3\times11.5+11.5\times7.5 )=2(22.5+34.5+86.25)\\=2(143.25)\\=286.5\,\,square \,\,inches[/tex]
So, option D is correct
Answer:
D! I got it correcttt
Step-by-step explanation:
The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p.m.). They selected 13 patrons and had them get in line between 2 and 3 p.m. Each was given a stopwatch to record the time they spent in line. The times recorded were as follows (in minutes; mean = 114.15): 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118. What is the range?
Answer:
The range will be 103 because 148-45 = 103
Suppose the round-trip airfare between Philadelphia and Los Angeles a month before the departure date follows the normal probability distribution with a mean of $387.20 and a standard deviation of $68.50. What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?
Answer:
52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 387.20, \sigma = 68.50[/tex]
What is the probability that a randomly selected airfare between these two cities will be between $325 and $425?
This is the pvalue of Z when X = 425 subtracted by the pvalue of Z when X = 325. So
X = 425
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{425 - 387.20}{68.50}[/tex]
[tex]Z = 0.55[/tex]
[tex]Z = 0.55[/tex] has a pvalue of 0.7088
X = 325
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{325 - 387.20}{68.50}[/tex]
[tex]Z = -0.91[/tex]
[tex]Z = -0.91[/tex] has a pvalue of 0.1814
0.7088 - 0.1814 = 0.5274
52.74% probability that a randomly selected airfare between these two cities will be between $325 and $425
A family uses two 500ml packets of
milk every day. How many litres do
they use in a month?
A. 2L
B. 20L
C. 281
D. 14L
MATHS
how many square feet of of outdoor carpet will we need for this hole?
Answer:
To convert the feet to square feet we have to multiply the length by the width. In which, we should get the answer as well.
Our length is 2ft, since it's a rectangle the other side is 2ft as well.
The width is 3ft, and the other half is 3ft.
So, basically to get the area of the hole, it'd be 3*2=
Which, it's 6sq ft.
Step-by-step explanation:The actual answer is 36. If I am wrong i am sorry ;3
An international company has 27,8000 employees in one country. If this represents 32.7% of the company's employees, how many employees does it have in total?
Answer:
850152.29052
Step-by-step explanation:
278000 rep 32.7%
278000=32.7%, 100% is the total
100%×278000= 278000000÷32.7=850,152.29052
Solve.
A European swallow flies about 12 meters in 1 second.
How many kilometers could it fly in 15 minutes?
It could fly |
Answer:
It could fly 10,8 kilometers.
Step-by-step explanation:
The European swallow fly speed is 12 meters per second.
We have to calculate how many kilometers it could fly in 15 minutes.
This can be calculated using the equivalent factors for each of the units:
- 1 km is equivalent to 1,000 meters.
- 1 minute is equivalent to 60 seconds.
We know that the distance travelled by the fly is the product of the speed and the time, so we have:
[tex]D=v\cdot t\\\\\\D=12\,\dfrac{m}{s}\cdot15\, min\\\\\\D=12\,\dfrac{m}{s}\cdot(\dfrac{1\,km}{1,000\,m})\cdot15\, min\cdot (\dfrac{60\,s}{1\,min})\\\\\\D=\dfrac{12\cdot 15\cdot 60}{1,000}\,km=\dfrac{10,800}{1,000}\,km\\\\\\D=10,8 \,km[/tex]
Solve for y:
9y = 81
Answer:
y=9
Step-by-step explanation:
9y=81
divide 9 on both sides
y=9
Ameeta finished 12 math problems. David finished 3 times as many. How many more math problems did David finish than Ameeta?
Answer:
24
Step-by-step explanation:
Ameeta = 12 math problems.
David =12×3=36 math problems
So 36-12=24
Answer:
12
David's
3 times longer
comparison problem
Step-by-step explanation:
got right on edge
If y = 5cos2x, what is the amplitude?
Answer:
5
Step-by-step explanation:
The amplitude is the coefficient of the cosine function: 5.
You have a bowl with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. What is the probability that you will
choose an orange candy out of the bowl?
100 POINTS TO ANSWER THIS PLZ HURRY
Answer:
This is tricky but I think it is A.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
You roll a six-sided number cube (die). What is the BEST answer for the probability that the number rolled is between 1 and 6, inclusive?
A) certain
B) unlikely
C) impossible
D) very likely
Answer: It is A certain.
Step-by-step explanation:
Because all the numbers on a six-sided cube is between 1 and 6 so it is certain or 100/100 that the number will land on a number between 1 and 6.
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY
Step-by-step explanation:
D.12
A.26
........................
Answer:
D and A
Step-by-step explanation:
D= 132
A is larger than 132
Brainliest will be given to the CORRECT answer.
Answer: Answer is C
Step-by-step explanation:
Answer:
c.
Step-by-step explanation:
6x²-7x-5=6x²-10x +3x-5 =( 6x²+3x)-(10x+5)=3x(2x+1)-5(2x+1)=
=(2x+1)(3x-5)
Round 0.782 with 7 being the underlined digit
What is the formula for slope-intercept form?
Answer:
y = mx+b
Step-by-step explanation:
The slope intercept formula for a line is
y = mx+b where m is the slope and b is the y intercept
The formula for slope-intercept form is attached below.
I have drawn this on my whiteboard.
In this equation, the m represents slope
and the b represents the y-intercept.
-10x + 3(8 + 8x) = -6(x - 4) solve for x
Answer:x=0
Step-by-step explanation:
Answer:
x = 0
Step-by-step explanation:
Solve for x:
3 (8 x + 8) - 10 x = -6 (x - 4)
3 (8 x + 8) = 24 x + 24:
24 x + 24 - 10 x = -6 (x - 4)
Grouping like terms, 24 x - 10 x + 24 = (-10 x + 24 x) + 24:
(-10 x + 24 x) + 24 = -6 (x - 4)
24 x - 10 x = 14 x:
14 x + 24 = -6 (x - 4)
Expand out terms of the right hand side:
14 x + 24 = 24 - 6 x
Add 6 x to both sides:
14 x + 6 x + 24 = (6 x - 6 x) + 24
6 x - 6 x = 0:
14 x + 6 x + 24 = 24
14 x + 6 x = 20 x:
20 x + 24 = 24
Subtract 24 from both sides:
20 x + (24 - 24) = 24 - 24
24 - 24 = 0:
20 x = 24 - 24
24 - 24 = 0:
20 x = 0
Divide both sides of 20 x = 0 by 20:
(20 x)/20 = 0/20
20/20 = 1:
x = 0/20
0/20 = 0:
Answer: x = 0
Classwork
Problem 1.
Gisele spent 7/10 of her money оn a book and 10/100 of her money on food. What fraction of her money
did she spend altogether?
Answer: It is 8/10 Because 7+1 equals 8/10 so 7/10+1/10 equals 8/10.
what is the equation of the line parallel to the line y= -2x +4 that passes through the point (0,-2)?
Answer:
y=-2x-2
Step-by-step explanation:
Since this line is supposed to be parallel it will have the same slope.
y=-2x+b
no plug in the (0,-2)
-2=b
y=-2x-2
Consider the following proposed proof, which claims to show that every nonnegative integer power of every nonzero real number is 1.
Let r be any nonzero real number, and let P(n) be the equation r ^n = 1.
Show that P(0) is true : P(0) is true because r^0 = 1 by definition of zeroth power.
Show that for every integer k >= 0, if P(i) is true for each integer i from 0 through k, then P(k + 1) is also true:
Let k be any integer with k >= 0 and suppose that r^ i = 1 for each integer i from 0 through k. This is the inductive hypothesis. We must show that r^ k + 1 = 1. Now
r^ k + 1 = r^ k + k - (k - 1) because k + k - (k - 1) = k + 1
r ^k * r^ k / r^ k - 1 by the laws of exponents
1*1 / 1 by inductive hypothesis
=1
Thus r^ k + 1 = 1 [as was to be shown].
[Since we have proved the basis step and the inductive step of the strong mathematical induction, we conclude that the given statement is true.]
Question:
a) Identify the error(s) in the above "proof."
Answer:
The statement is not true. There is an error in the following step:
[tex]\frac{r^{k} * r^{k} }{r^{(k-1)} } = \frac{1 * 1}{1}[/tex]
Step-by-step explanation:
Here is the complete proof:
[tex]r^{k + 1} = r^{k + k - (k - 1)}[/tex] (because k + k - (k - 1) = k + 1)
[tex]= \frac{r^{k} * r^{k} }{r^{(k-1)} }[/tex] (By laws of exponent)
[tex]= \frac{r^{k} * r^{k} }{r^{k} * r^{-1} } }[/tex]
[tex]= \frac{r^{k} * r^{k} * r^{1} }{r^{k}} }[/tex] (Since the power of r is a negative integer i.e. -1 it will shift to the numerator)
[tex]= r^{k} * r^{1}[/tex] (We get this equation after canceling out the similar terms in numerator and denominator in previous step)
[tex]= r^{k + 1} \neq 1[/tex] (Provided r > 1 or r < -1)
An mp3 player is on sale for 30% off the regular price of $39.98. How much is the discount?
Answer:
$27.98
Step-by-step explanation:
100 - 30 in price %=70%
Price will be 70% of original regular price
$39.98 * .7 = answer
Answer:
Discount is $11.99
Total is now $27.99
Step-by-step explanation:
To find the discount, you find out what 30% is of 39.98, so you multiply
39.98 x 30%(or .3) = 11.994
39.98- 11.99= 27.99
Marcus has a life insurance policy that will pay his family $35,000 per year if
he dies. If interest rates are at 2.5% when the insurance company has to pay,
what is the amount of the lump sum that the insurance company must put
into a bank account?
O
A. $1 million
O
B. $350,000
O
C. $1.4 million
O
D. $3.5 million
The correct answer is $1.4 million
The insurance company must put $1.4 million into a bank account.
What is insurance?Insurance is a way to manage your risk. When you buy insurance, you purchase protection against unexpected financial losses. The insurance company pays you or someone you choose if something bad happens to you.
Given that, Marcus has a life insurance policy that will pay his family $35,000 per year if he dies. the interest rates are at 2.5%, we need to find the amount of the lump sum that the insurance company must put into a bank account,
Considering that the interest is Simple interest,
So, SI = PRT / 100
Here, the interest is 35000, P we need to find, r = 2.5 and T = 1
35000 = 2.5P/100
3500000 = 2.5P
P = 1400000
P = 1.4 millions
Hence, the insurance company must put $1.4 million into a bank account.
Learn more insurance click;
https://brainly.com/question/27822778
#SPJ7
Pls answer the last question thank you! Number 5.
Answer:
1/2 x 4/1 x 2/1 = 4
4th should be 1/6 btw
Step-by-step explanation:
Answer:
Step-by-step explanation:
We'll say the fraction is 4 1/2 so: The length is 6 blocks the width is 2 blocks and we'll say the height is 3 blocks so the length would be 27 the width is 9 and the height is 13 1/2 now 27*9*13 1/2=3280 1/2
(you might have to draw this cube just sayin idk exactly what it wants)
Javier is 175% heavier than his brother. If Javier’s brother weighs 80 pounds, how much does Javier weigh?
Answer:
140
Step-by-step explanation:
175% of 80 = 140
(7.8×10^-5)-(4.5×10^-5)
Answer:
0.000033
Step-by-step explanation:
(7.8×10^-5)-(4.5×10^-5)=
(7.8×0.00001)-(4.5×0.00001)=
0.000078-0.000045=
0.000033
Answer:
0.000033
Step-by-step explanation:
your welcome :)
ASAP PLEASE
simplify the equation
Answer:
Option A is correct
Step-by-step explanation:
a^(6/4) = a^(3/2)
b^(4/4) = b
c^(8/4) = c^2
Hope this helps!
:)
hurry plz im timed. i have 20 minutes left
Which shows how the distributive property can be used to evaluate 7 times 8 and four-fifths?
56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths
56 times StartFraction 28 over 5 EndFraction = StartFraction 1568 over 5 EndFraction = 313 and three-fifths
15 + (StartFraction 35 over 5 EndFraction + four-fifths) = 15 + StartFraction 39 over 5 EndFraction = StartFraction 75 over 5 EndFraction + StartFraction 39 over 5 EndFraction = StartFraction 114 over 5 EndFraction = 22 and four-fifths
15 times (StartFraction 35 over 5 EndFraction + four-fifths) = 15 times StartFraction 39 over 5 EndFraction = StartFraction 15 over 1 EndFraction times StartFraction 39 over 5 EndFraction = StartFraction 585 over 5 EndFraction = 117
Answer:
First one:
56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths
Step-by-step explanation:
7 × 8⅘
7(8) + 7(4/5)
56 + 28/5
56 + 5 + 3/5
61 3/5
Answer:
its A
Step-by-step explanation:
56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths
and pls mark me as brainliest if this is correct! :D