Hi friend! Hope this helps!
When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. If you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.
F is directly proportional to a . If F = 42 when a = 7 find, F when a = 3
Answer:
24?
Step-by-step explanation:
factor 49x^2-7^2
and please explain how
Answer:
[tex]49x^2-7^2=49(x-1)(x+1)[/tex]
Step-by-step explanation:
Factoring
We need to recall this property of binomials:
[tex](a-b)(a+b)= a^2-b^2[/tex]
It allows us to factor the difference between two squares as follows.
[tex]a^2-b^2=(a-b)(a+b)[/tex]
The given expression is
[tex]49x^2-7^2[/tex]
Comparing with the above expression:
[tex]a^2=49x^2[/tex]
Taking square root:
[tex]a = 7x[/tex]
[tex]b^2=7^2[/tex]
Taking square root:
b=7
Factoring:
[tex]49x^2-7^2=(7x-7)(7x+7)[/tex]
Now we can see each factor can be taken out the common factor 7:
[tex]49x^2-7^2=7(x-1)*7(x+1)[/tex]
Multiplying:
[tex]\boxed{49x^2-7^2=49(x-1)(x+1)}[/tex]
Find the value of x in the triangle shown below.
34°
50
5 4/5-3 1/3,whoever can help I will mark brainleist
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{2 \: \frac{7}{15} }}}}[/tex]
Step-by-step explanation:
[tex] \tt{5 \frac{4}{5} - 3 \frac{1}{3} }[/tex]
Convert the mixed number into improper fraction
[tex] \tt{↦ \: \frac{5 \times 5 + 4}{5} - \frac{3 \times 3 + 1}{3} }[/tex]
[tex] \tt{↦ \: \frac{25 + 4}{5} - \frac{9 + 1}{3}} [/tex]
[tex] \tt{ ↦ \: \frac{29}{5} - \frac{10}{3} }[/tex]
While performing the addition or subtraction of unlike fractions , you have to express the given fractions into equivalent fractions of common denominator and add or subtract as we do with like fractions. Thus, obtained fractions should be reduced into lowest terms if there are any common on numerator and denominator. But in case of improper fraction, it needs to be deduced on mixed fraction. Now,
Take the L.C.M of 5 and 3
prime factors of 5 = 1 × 5
prime factors of 3 = 1 × 3
L.C.M = Common factors × Remaining factors
= 1 × 5 × 3
= 15
[tex] \tt{↦ \frac{29 \times (15 \div 5)}{15} - \frac{10 \times (15 \div 3)}{15} }[/tex]
[tex] \tt{↦ \: \frac{29 \times 3}{15} - \frac{10 \times \: 3 }{15} }[/tex]
[tex] \tt{↦ \: \frac{87}{15} - \frac{30}{15}} [/tex]
While performing the addition or subtraction of like fractions , you just have to add or subtract the numerator respectively in which the denominator is retained same.
[tex] \tt{ ↦ \: \frac{87 - 30}{15} }[/tex]
[tex] \tt{↦ \: \frac{37}{15} }[/tex]
Convert the improper fraction into mixed fraction.
[tex] \tt{↦ \boxed{ \tt{ 2 \frac{7}{15} }}}[/tex]
And we're done!
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
solve for x SOMEONE PLS!
71+49+7x+11=180
Who started with the greatest initial value of Halloween candy? Jeremy, Josh, Rachel, or Lydia?
Answer: Rachael Ray.
Step-by-step explanation: Have a blessed day hopefully this helped!
estimate quotient 4,558 divided by 43
Answer:
106
Step-by-step explanation:
PLEASEE HELP ME i can’t do i eill give brainlist
Answer:
3 people per table with a 4 every once in awhile. There is 24 tables. Each table has a candle. Each table has 2 balloons. The most you can make using all of the supplies is 24 table
Answer:
8
Step-by-step explanation:
You just need to find the number that can divide all the numbers evenly.
I hope this makes sense and I hope this is correct.
Among students in the sixth grade: 54% are girls.23 are boys.How many students are in the sixth grade?
Answer:
There are 50 Students.
Step-by-step explanation:
I did:
100 - 54 = 46
46 ÷ 23 = 2
2 students = 1%
54 ÷ 2 = 27
23 boys + 27 girls = 50 students
A company plans to sell a new type of vacuum cleaner for $280 each. The company’s financial planner estimates that the cost, y, of manufacturing the vacuum cleaners is a quadratic function with a y-intercept of 11,000 and a vertex of (500, 24,000). Which system of equations can be used to determine how many vacuums must be sold for the company to make a profit?
StartLayout Enlarged Left-Brace 1st Row y = 280 x 2nd Row y = negative 0.052 (x minus 500) squared + 24,000 EndLayout
StartLayout Enlarged Left-Brace 1st Row y = 280 x 2nd Row y = 0.052 x squared + 11,000 EndLayout
StartLayout Enlarged Left-Brace 1st Row y = 280 x 2nd Row y = 0.052 (x minus 500) squared + 24,000 EndLayout
StartLayout Enlarged Left-Brace 1st Row y = 280 x 2nd Row y = negative 0.052 (x minus 500) squared + 11,000 EndLayout
Answer:
StartLayout Enlarged Left-Brace 1st Row y = 280 x 2nd Row y = negative 0.052 (x minus 500) squared + 24,000 EndLayout
Step-by-step explanation:
Given that:
Cost per cleaner = $280
The cost of x vacuum cleaners will be :
Cost per cleaner * number of cleaners
$280 * x
= $280x
The general vertex firm equation :
y-k = a(x-h)^2
Vertex = (500, 24000) ; Vertex = (h, k)
h = 500 ; k =24000 y= 11000, x = 0
y intercept = 11000
Plugging the values :
11000 - 24000 = a(0 - 500)^2
- 13000 = a(-500)^2
-13000 = a * 250000
a = - 13000 / 250000
a = - 0.052
Hence,
y - 24000 = a(0 - 500)^2
y = - 0.052(0 - 500)^2 + 24000
Answer:
A on edge
Step-by-step explanation:
i took the test
Convert the following degree measure to radians and round to the nearest thousandth:
72.5° = ? π radians
Answer:
0.403 π rad
or
1.265 rad
Hope this helps! I used both variations just to be safe but it seems you only need the one with Pi in it.
An angle is 6 more than five times it’s supplement. What is the measure of the smaller angle
The region bounded by y = − 1x^2 + 3x + 18 , x = 0 and y = 0 is rotated about the y -axis. Find the volume of this solid of revolution:
Answer:
The volume of the solid V = 41601.6 π
Step-by-step explanation:
From the given information:
The volume of the shaded region bounded by rotating the shaded region about the y-axis is: dV
[tex]dV = \pi (-1x^2 +3x+18)^2 ((x+dx)^2 -(x)^2)[/tex]
[tex]dV =2 \pi x (-1x^2 +3x+18)^2 \ . dx[/tex]
[tex]dV =2 \pi x (-1x^2 +3x+18) ( -1x^2 +3x + 18). dx[/tex]
[tex]dV =2 \pi x (1x^4 -3x^3 -18x^2 -3x^3 +9x^2 +54x -18x^2 +54x + 324 ) \ .dx[/tex]
[tex]dV =2 \pi x (1x^4 -3x^3-3x^3 -18x^2 +9x^2 -18x^2 +54x +54x +324) \ .dx[/tex]
[tex]dV =2 \pi x (1x^4 -6x^3 -27x^2 +9x^2+ 108x +324) \ .dx[/tex]
[tex]\implies \int ^V_o \ dv = 2 \pi \int ^6_0 (1x^5 -6x^4 -27x^3+108x^2 +324x) \ dx[/tex]
[tex]V = 2 \pi \begin {bmatrix} \dfrac{1x^6}{6} - \dfrac{6x^6}{5} - \dfrac{27x^4}{4}+ \dfrac{108x^3}{3}+ \dfrac{324x^2}{2} \end {bmatrix}^6_0[/tex]
[tex]V = 2 \pi \begin {bmatrix} \dfrac{1(6)^6}{6} - \dfrac{6(6)^6}{5} - \dfrac{27(6)^4}{4}+ \dfrac{108(6)^3}{3}+ \dfrac{324(6)^2}{2} -0\end {bmatrix}[/tex]
V = 2π (20800.8)
V = 41601.6 π
In City A, the temperature rises F from 8 A.M. to 9 A.M. Then the temperature drops F from 9 A.M. to 10 A.M. In City B, the temperature drops F from 8 A.M. to 9 A.M. Then the temperature drops F from 9 A.M. to 10 A.M. Write an expression that represents the change in temperature from 8 A.M. to 10 A.M. for each city. Simplify and interpret each sum. Use pencil and paper. Which city has the greater change in temperature? Which expression represents the change in temperature for City A?
Here is the full question.
In city A, the temperature rises 9° F from A.M to 9 A.M. Then the temperature drops 8°F from 9 A.M. to 10 A.M. in city B, the temperature drops 1°F from 8 A.M. to 9 A.M. Then the temperature drops 3°F from 9 A.M. to 10 A.M.
Write an expression that represents the change In temperature from 8 A.M. to 10 A.M for each city. Simplify and interpret each sum. Use a pencil and paper. Which expression represents the change in temperature for city A?
Answer:
In City A, the expression for the change in temperature is = 9 + (-8)
The amount the temperature changes for City A = 1°F
In City B, the expression for the change in temperature is -1 + (-3)
The amount the temperature changes for City B = -4°F
Thus, City A has a greater change in temperature.
Step-by-step explanation:
From the information above; Given that:
In City A, the rise in temperature from 8 A.M to 9 A.M is = 9°F
In City A, the drop in temperature from 9 A.M to 10 A.M = 8°F
Similarly;
In City B, the drop in temperature from 8 A.M to 9 A.M = 1°F
In City B, the drop in temperature from 9 A.M to 10 A.M = 3°F
∴
For City A
The temperature change from 8 A.M to 10 A.M are :
8 A.M to 9 A.M = +9°F
9 A.M to 10 A.M = -8°F
In conclusion, The sum for the change from 8 A.M to 10 A.M = 9 + (-8) = 1°F
For City B
The temperature change from 8 A.M to 10 A.M are:
8 A.M to 9 A.M = -1°F
9 A.M to 10 A.M = -3°F
In conclusion, The sum for the change from 8 A.M to 10 A.M = -1 + (-3) = -4°F
P(t) model the number of people at the beach
in Rio de Janeiro, Brazil, when it's t hours after
midnight on a certain day. When did the
number of people increase faster? *
Answer:
A, Between 9 and 10 am
Step-by-step explanation:
The math is simple. between 9 and 10 theres 1 hour, and between 28 and 67 there are 39 P(t).
Between 10 and 15 there are 5 hours, and between 67 and 212 there are 145 P(t), which divided by 5 is 29.
You divide by 5 to get the same amount of hours to compare both
9-10 am= 39
10-15am/pm= 29
Therefore, the number of people increased faster between 9 and 10 am.
The rate of increase of population is faster between t = 9 to t = 10.
What is the ratio of two numbers?The ratio of two numbers a and b can be written as a : b = a/b.
The ratio of two quantities is the unit rate of one quantity with respect to the other.
The table for the population and time can be formed as follows,
Population Time in hours
28 9
67 10
212 15
Now, the increase in population can be obtained by taking the ratios as follows,
Increase in population between t = 9 to t = 10 is given as,
(67 - 28) ÷ (10 - 9)
⇒ 39
And, between t = 10 to t = 15, it is given as,
(212 - 67) ÷ (15 - 10)
⇒ 145 ÷ 5 = 29
Thus, the rate of increase is more from t = 9 to t = 10.
Hence, the faster increase is given in time interval of t = 9 to t = 10.
To know more about ratio click on,
brainly.com/question/13419413
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Marla needs 115 square feet of tile to cover the floor of her
square sunroom. What is the length of one wall to the nearest
foot?
Answer:
11 feet
hope this helps
40% of the students at Wilson
Middle School said they would go
trick-or-treating this year. If 300
students said they were going to
trick-or-treat, how many students
attend the school?
A) 750
B) 120
C) 850
N 75
Answer:
A
Step-by-step explanation:
40% of 750 is 300 you can confirm this because 75 is 10% of 750 and 75 * 4 = 300.
Simplify the expression.
(4х5) (5x6)
Determine the values of m, a, p, q and r.
Answer:
m= 68 degrees
a= 68 degrees
p= 68 degrees
q= 112 degrees
r= 68 degrees
Step-by-step explanation:
Hope this helps, if so mark me brainliest???
If you do not see a number next to a variable, what is it understood to be?
TIME REMAINING
54:32
Tom would like to take out a secured loan to help pay for a vacation this summer. He has offered his car as collateral.
His car is worth $3,500. His bank can offer loans for 80% of collateral value. The vacation he has planned will cost
$4,750. Approximately how much additional collateral will Tom need to offer in order to borrow enough to go on his
vacation as planned?
$1,000.00
b. $1,362.50
c. $2,437.50
d. $2,800.00
a.
Please select the best answer from the choices provided
A
B.
ОООО
D
Tom will need to offer additional collateral of C. $2,437.50 to borrow enough for his planned vacation.
What is collateral?Collateral refers to a valued property or financial security offered by the borrower to the lender to guarantee repayment of a loan.
Lenders sell collaterals when the borrowers fail to comply with their loan terms.
How is the additional collateral determined?Car's value = $3,500
Collateral value in percentage = 80%
Car's collateral value = $2,800 ($3,500 x 80%)
Planned cost of vacation = $4,750
Additional cost to meet vacation cost = $1,950 ($4,750 - $2,800)
Additional collateral value to meet target = $2,437.50 ($1,950/80%)
Total collateral that Tom needs to offer = $5,937.50 ($3,500 + $2,437.50)
80% of $5,937.50 = $4,750
Another way is to work with the planned cost and the collateral percentage offered by Tom's bank:
Planned cost of vacation = $4,750
Collateral value in percentage = 80%
Total collateral to be offered by Tom = $5,937.50 ($4,750/80%)
Car's collateral value = $3,500
Additional collateral value = $2,437.50 ($5,937.50 - $3,500)
Thus, Tom needs additional collateral of C. $2,437.50.
Learn more about collateral at https://brainly.com/question/11665626
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Coach Manzer ran 6 laps in 360 seconds. Which of the following is an equivalent ratio?
Group of answer choices
1 lap in 30 seconds
2 laps in 120 seconds
4 laps in 300 seconds
14 laps in 1400 seconds
Answer:
2 laps in 120 seconds is correct
A car travels 81 miles in 2 hours. How would this be written as a rate?
Suppose there are 15 freshman, 16 sophomores, 10 juniors, and 12 seniors running for the offices of president, vice president, and secretary. If no person can hold more than one office, in how many different ways could these people be elected to these positions
Answer:
Number of ways = 140,556
Step-by-step explanation:
Total person = 15 + 16 + 10 + 12
Total person = 53
Number of not included bperson = 3
Computation:
Number of ways = !53 / !(53-3)
Number of ways = 53 x 52 x 51
Number of ways = 140,556
what is the Y intercept
y= 4x - 9
Answer:
b = –9
Step-by-step explanation:
First, refer to the slope-intercept formula:
y = mx + b
In this formula, m is the slope and b is the y-intercept.
That means in y = 4x – 9, the b variable is –9, which is the y-intercept.
Answer: the answer is A. because the y intercept is -9.
On Monday 6.324 cm of rain fell; 7.85 cm fell on Tuesday. How much rain fell during the two days? Round your answer to the nearest tenth.
Answer:
14.1 cm
Step-by-step explanation:
The GCF of 35 and 50 is
Answer: The greatest common factor of the two is 5.
Step-by-step explanation:
The greatest common factor is something that can be seen between the two as relation.
5.) A small bat can eat up to 1,000 mosquitos in an hour. How many mosquitoes can a small
bat eat in 20.4 hours? Express your answer in scientific notation.
lopum no shindeu he no vinciedique
12x+5??????????????pls help
Answer:
17
Step-by-step explanation:
3(4x - 6) - 2x + 1 = 3 - (3x - 6)?