Answer:
The number is 2
Step-by-step explanation:
To attempt this question, we need to represent the number with (x).
Let the number be x
Five more than the number is:
5 + x
Seven-halves means 1/2 × 7 = 7/2
Mathematically, the question is saying:
5 + x = 7/2 × x
5 + x = 7x/2
Cross multiply;
2(5 + x) = 7x
10 + 2x = 7x
We collect like terms;
10 = 7x - 2x
10 = 5x
x = 10/5
x = 2
The number represented by x is 2
We want to convert the given sentence into an equation, and then solve it. We will see that the number is 2.
Finding the equation
We start with the sentence:
"Five more than a number is equal to seven-halves of the number"
if we define x as the number, we can write:
5 + x = (7/2)*x
Now we can solve this equation for x, we will get:
5 + x = (7/2)*x
5 = (7/2)*x - x = (7/2 - 1)*x
5 = (7/2 - 2/2)*x = (5/2)*x
(2/5)*5 = x
2 = x
So the number is 2.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/4074386
convert the common fraction into decimal fraction
[tex] \frac{3}{4} [/tex]
Answer:
We know that 3/4=0.75.When expressed as decimal fraction it is 75/100
Know how to calculate sample size: A restaurant would like to estimate the average $ amount of a take-out order. The standard deviation is $15. If a 99% confidence level and an interval (error) of $5 is desired, how many customers should be in the sample?
Which of the following examples would use the z-distribution:______.
a. x = 100; µ = 99; s = 5; n = 70
b. x = 50; µ = 53; σ = 7; n = 15
c. x = 7; µ = 4; s = 1; n = 20
d. x = 15; µ = 17; σ = 3; n = 45
The total length of wires A,B and C is 445cm. Wire A is 45cm longer then wire B,and wire B is half as long as wire C. How long is wire A?
Answer:
A = 145cm
Step-by-step explanation:
A+B+C = 445cm
b = 1/2c
a = b+45 = 1/2c + 45
445 = c + (0.5c) + (0.5c + 45)
445 = 2c + 45
445 - 45 = 2c
400/2 = c
c = 200cm
a = 1/2c + 45 = 1/2*200 + 45 = 100 + 45 = 145cm
If f(x)=8x+16, then find f-1 (x)
Find the circumference of a circle whose
area is 49pi sq units.
Answer: C=2πr
r Radius
Tina wants to buy a bouquet
of red roses. The original price
is $24. How much will Tina PAY
if she buys it during the sale
when it is 25% off?
Answer:
18
Step-by-step explanation:
If we know she will have a 25% discount, we know she will only pay 75%. So you divide by 4 and get 6. So now, If we subtract 25% (6), our 75% will be 18.
Answer:
It's 18
Step-by-step explanation:
25 percent of 24 is 6 dollars, subtract 6 from 24, you get 18, your welcome :D
A fast food chain sells 4,500 hamburgers per hour worldwide. How many hamburgers does the fast food chain sell worldwide in 1 minute?
Answer:
75 hamburgers per minute
Step-by-step explanation:
We’ll it’s 4500 per hour, or every 60 minutes, to find 1 min, you can divide by 60.
4500/60 = 75
The average age of all the JSOM students is 24 years with a standard deviation of 9 years. Of 8,000 students, a random sample of 36 students is selected. What is the probability that the sample mean will be between 25.5 and 27 years?
Answer:
The probability that the sample mean will be between 25.5 and 27 years is 0.1359.
Step-by-step explanation:
Let X denote of age of JSOM students.
The information provided is:
[tex]\mu=24\\\sigma=9\\n=36[/tex]
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu\\[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
As the sample size is large, i.e. n = 36 > 30, the sampling distribution of the average age of all the JSOM students can be approximated by the normal distribution.
Compute the probability that the sample mean will be between 25.5 and 27 years as follows:
[tex]P(25.5<\bar X<27)=P(\frac{25.5-24}{9/\sqrt{36}}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{27-24}{9/\sqrt{36}})\\\\=P(1<Z<2)\\\\=P(Z<2)-P(Z<1)\\\\=0.97725-0.84134\\\\=0.13591\\\\\approx 0.1359[/tex]
Thus, the probability that the sample mean will be between 25.5 and 27 years is 0.1359.
please help i will give brainlyest
Answer:
1 (6/6)
Step-by-step explanation:
because 1/3 will turn into 2/6 so when you add them it will be 6/6 :)
Answer:
6/6 which would be simplified as 1
Step-by-step explanation:
First you have to mutiply the second fraction by 2, both numbers so that both of the bottem numbers in both fractions are the same. Then you add the top numbers and the bottem ones stay the same, which would be 6/6
Then if you have an anoying math teacher, like me, who wants you to simplify everything that answer would be one
Pat's soccer team has 15 players. 2/3
of the players went out for frozen yogurt after their last win. How many players went out for yogurt?
Answer:
10
Step-by-step explanation:
(2.5 x 10^6) + (1.2 x 10^3)
whats the answer to this???
Hey
[tex]\text{there}[/tex]
[tex](2.5 \times {10}^{6}) + (1.2 \times{10}^{3}) [/tex]
[tex] {10}^{6}=1000000[/tex]
[tex](2.5\times1000000) + (1.2\times{10}^{3})[/tex]
[tex] {10}^{3} = 1000[/tex]
[tex](2.5 \times 1000000) + (1.2 + 1000)[/tex]
[tex](2.5\times1000000) = 2,500,000[/tex]
[tex](2,500,000) + (1.2 \times 1000)[/tex]
[tex](1.2\times1000)=1,200[/tex]
[tex](2,500,000)+(1,200)=2,501,200[/tex]
[tex] \boxed{ \boxed{ \bf{Answer: \boxed{ \boxed{ \bf{2,501,200}}}}}} \checkmark[/tex]
Good luck on your assignment and enjoy your day!~
[tex] \dfrac{ \frak{LoveYourselfFirst}}{:)}[/tex]
Plz help with A and D!
Answer:
Yes it's B or C
Step-by-step explanation:
Words
3 x (52 - 12) in word form
Answer:
three times fifty-two minus twelve.
-or-
three multiplied by fifty-two subtracted from twelve.
also if you need the answer to the problem it's 70
Answer: Three times Fifty two minus twelve
Step-by-step explanation:
ME NEEDS SOME HELP WITH MATH PLS
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]The \: \: correct \: \: answer \: \: is \: \: (( C )) . \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
can someone help me pls
Answer:use a calculator if you want since all you do is put in the calculator
Step-by-step explanation:
3/7 is 0.428571428
meanwhile 1/4 is 0.25...
which one do you think is bigger
3/7
so it is greater
What is the value of h(2)?
-2
-1 0 3
Answer:
103 is ur answer hope this helps
Answer:
The answer is 0 or C on Edge.
Step-by-step explanation:
Got it right. 2021.
Y=2x^3 linear or nonlinear
Answer: linear
Step-by-step explanation:
Answer:
LINEAR...................
Step-by-step explanation:
y=2x−3 is in slope intercept form for a linear equation, y=mx+b , where m is the slope and b is the y-intercept. The y-intercept is the point at which x=0 and y=−3 , which is point (0,−3) You can plot this point on your graph. The slope is can be described as riserun , and can be written as 21 . Start at (0,3)
Which list shows the number in order from greatest to least? Help asap
Answer:
D
Step-by-step explanation:
What is the Additive inverse of -7?
Answer:
7
Step-by-step explanation:
Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3. 3 is the additive inverse of -3.
The additive inverse of a number is a number that is the same distance from 0 on the number line, but in the opposite direction. It can also be thought of as the number that you need to add to a number in order for the result to be 0.
Examples
In the number line below, -3 and 3 are additive inverses. If we add the other value to either of the two values, the result will be 0.
-3 + 3 = 0
3 - 3 = 0
The same is true of the other corresponding values on the number line; 5 and -5, 4 and -4, 2 and -2, 1 and -1, and even 0 and 0, are all also additive inverses.
Answer:
7
Step-by-step explanation:
The additive inverse of a number is is the number that, when added to it, yields zero.
Priya and Joe travel the same 16.8 km route. Priya starts at 9.00 am and walks at a constant speed of 6 km/h Joe starts at 9.30 am and runs at a constant speed. Joe overtakes Priya at 10.20 am At what time does Joe finish the route?
Answer:
12:05 PM
Step-by-step explanation:
Priya started at 9:00 AM.
Speed of Priya = 6 km/hr
Joe started at 9:30 AM.
Time at which Joe overtakes Priya = 10:20 AM
Total time taken by Priya = 1 hour 20 min = [tex]\frac{4}{3}\ hr[/tex]
Total time taken by Joe = 50 min = [tex]\frac{5}{6}\ hr[/tex]
Distance traveled by Priya and Joe is same.
Formula for distance is:
[tex]Distance =Speed\times Time[/tex]
Distance covered by Priya = [tex]6 \times \frac{4}{3}[/tex] km
Let speed of Joe = [tex]S[/tex] km/h
Distance covered by Joe = [tex]S \times \frac{5}{6}[/tex]
[tex]S \times \dfrac{5}{6} = 6 \times \dfrac{4}{3}\\\Rightarrow S =\dfrac{48}{5}\ km/hr[/tex]
Total distance to be covered = 16.8 km
Total time to be taken by Joe =
[tex]\dfrac{16.8}{\frac{48}5} = \dfrac{16.8\times 5}{48} = \dfrac{84}{48} = 1.75\ hours[/tex]
1.75 hours mean 1 hour and 45 minutes.
Finishing time at which Joe finishes = 9:30 AM + 1 hour 45 minutes = 12:05 PM
Determine if parallel, perpendicular, or neither showing how to find the slope
4x-7y=10
7x+4y=1
Answer:
They're perpendicular
Step-by-step explanation:
Cause they interfere the point (47/65, 66/65) in a 90 degree angle
(GIVING AWAY BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME :> BTW THE SUBJECT MATH IS INNCORECT BUT I CHOSE IT BC THEY DIDNT HAVE SCIENCE AS AN OPTION LOL)
Veronica observes how the force of friction causes an object to slow down. She writes the following observation: When an object moves across a smooth surface, there is less friction created than when an object moves across a rough surface. When the object stops moving, friction is created. Which statement corrects the error(s) in Veronica's observations?
A) It is not smooth or rough surfaces that affects friction. It is the size of the push.
B) When an object moves across a rough surface, there is no friction.
C) When an object moves across a smooth surface, the friction increases.
D) When an object stops moving, there is no friction.
(Here is an image if needed) :
Answer:
C
Step-by-step explanation:
Answer:
A
number is correct answer
least to greatest. 3/20 45% 1/5 7.5% Someone please answer this I need it ASAP
Answer:
3/20, 7.5%, 1/5, 45%
Help! Will mark brainliest!
Check all that are solutions to −0.25 ≤ 0.5sin(2x) and over 0° ≤ x ≤360°.
Answer:
A C E
Step-by-step explanation:
I'm a little late but I hope this still helps!
Answer:
yeah what he said. A C E
Step-by-step explanation:
I just did the assignment and its right
a number plus the sum of the number
and seven.
Answer:
x+(x+7)
Step-by-step explanation:
sum=add all together
How many solutions are there?
Answer:
only one, as x is just one thing as in x=589247 or x=390538
Step-by-step explanation:
Your classmate tells you the details of the great deal he got on his mortgage: 30-year 1.1% fixed rate with a 20% down payment
If his new home costs $136,000, what is his down payment?
Answer:
27200
Step-by-step explanation:
P(x)=x^4 - 2x^3 - 3x^2 + 4
What is the remainder when P(x) is divided by (x-3)?
Answer:
The given polynomial is p(x)=x
4
−2x
3
+3x
2
−ax+3a−7
Given that, the polynomial p(x) when divided by (x+1) leaves remainder 19
Therefore, p(−1)=19 (By Remainder theorem)
=>(−1)
4
−2×(−1)
3
+3(−1)
2
−(−1)a+3a−7=19
=>1+2+3+a+3a−7=19
=>4a−1=19
=>4a=20
=>a=5
The value of a is 5
Now,
p(x)=x
4
−2x
3
+3x
2
−5x+3×5−7
=x
4
−2x
3
+3x
2
−5x+15−7
=x
4
−2x
3
+3x
2
−5x+8
Remainder when the polynomial is divided by (x+2)
=p(−2) (By Remainder Theorem)
=−2
4
−2(−2)
3
+3(−2)
2
−5(−2)+8
=16+16+12+10+8
=62
Thus, the remainder of the polynomial p(x) when divided by (x+2) is 62
Step-by-step explanation:
The remainder when P(x) is divided by (x-3) is 8
What is the quotient remainder theorem?The quotient-remainder theorem says that when any integer n is divided by any positive integer d, the result is a quotient q and a nonnegative remainder r that is smaller than d.
Given here, P(x)=x⁴ - 2x³ - 3x² + 4
Now we know from the polynomial remainder theorem that the remainder on dividing by (x-a) is f(a)
Thus P(3)=8
Hence, The remainder is 8
Learn more about the remainder theorem here:
https://brainly.com/question/29046143
#SPJ2
According to a 2009 Reader's Digest article, people throw away approximately 90% of what they buy at the grocery store. Assume this is the true proportion and you plan to randomly survey 100 grocery shoppers to investigate their behavior.
Required:
What is the probability that the sample proportion exceeds 0.84?
Answer:
0.9495
Step-by-step explanation:
We are given;
Population proportion; p = 90% = 0.9
Sample size; n = 100
Sample Proportion; p^ = 0.84
Formula to find the probability that sample proportion exceeds 0.84 is;
Z = P(p^ > 0.84) = (p - p^)/√(p^(1 - p^)/n)
Z = (0.84 - 0.9)/√(0.84(1 - 0.84)/100)
Z = -0.06/0.03666
Z = -1.64
From online z-score calculator attached, the probability is;
P(x>Z) = 0.9495
Which number has the least value?
1. 2 3/4
2. 5/2
3. 2.62
4. 245%