What is 2 1/4 divided by 4 2/3
Answer: (27/56)
Step-by-step explanation:
(2 1/4)/(4 2/3)
(9/4)/(14/3) [Convert the integers on both sides to leave just fractions.
(9/4)*(3/14) [Invert the denominator and multiply times the numerator]
(27/56)
[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex] \frac{27}{56} \\ \\ in \: \: alternate \: \: form \\ \\ 0.482142857[/tex]
Step-by-step explanation:
[tex]2 \frac{1}{4} \div 4 \frac{2}{3} [/tex]
convert the mixed number to an improper fraction[tex] \frac{9}{4} \div \frac{14}{3} [/tex]
to divide by a fraction, multiply the reciprocal of that fraction[tex] \frac{9}{4} \times \frac{3}{14} [/tex]
multiply the fraction[tex] = \frac{27}{56} \\ \\ in \: alternate \: \: form \\ \\ 0.482142857[/tex]
hope it helps[tex] \: \: \: \: \: \: \: \: \: [/tex]
Phil is riding his bike. He rides 58 miles in 4 hours, 72.5 miles in 5 hours, and 87 miles in 6 hours. Find the
constant of proportionality and write an equation to describe the situation. Let x represent the number of
hours.
The constant of proportionality is k =
The equation that describes the relationship is y =
Answer:
58 divided by 4 = 14. 5 mph
72.5 Divided by 4 = 14.5 mph
87 divided by 6 = 14.5 mph
k = 14.5 mph
Y= Kx = 14.5X
answer is 14.5 and 14.5X
Step-by-step explanation:
Can someone please help me with this
Answer:
f(x) = 3x +4f(x) = 5x +2f(x) = -4x +11f(x) = -4x +11 (same table as problem 3)Step-by-step explanation:
To write the equation for f(x) in slope-intercept form, you need to know the slope and the y-intercept. The y-intercept is the value of f(x) when x=0. You can read this directly from the table.
The slope is the ratio of the change in f(x) to the change in x. It can be computed using the formula ...
m = (y2 -y2)/(x2 -x1)
where (x1, y1) and (x2, y2) are any two pairs of numbers from the table. You can use the first two table rows, for example.
__
1. m = (10 -4)/(3 -0) = 6/3 = 2; y-intercept = 4 (from ordered pair (0, 4))
y = mx +b . . . . line with slope m and y-intercept b
f(x) = 2x +4
__
2. m = (2 -(-3))/(0 -(-1)) = 5/1 = 5
f(x) = 5x +2
__
3. m = (11 -19)/(0 -(-2)) = -8/2 = -4
f(x) = -4x +11
__
4. same as 3.
Today, Lexi is going to an art museum to see a special exhibit. It takes Lexi 26 minutes to walk to the subway station. She will ride the subway for 5 minutes and then walk 7 minutes to the art museum. If Lexi needs to be at the art museum by 8:00 A.M., what is the latest time she can leave her house?
Answer:
7:22
hope this helps and please mark brainllest
5. The dollar value of a moped is a function of the number of years, I, since the moped
was purchased. Tſie function, f, is defined by the equation f(t) = 2,500 - (1)'.
What is the best choice of domain for the function f?
A. -10 <1 <10
B.-10 <<0
C.O << 10
DO < t < 100
MODELING REAL LIFE You have $9.25. How many games can you bowl if you rent bowling shoes?
Answer:
For starters how much does it cost to rent out the shoes
2nd of all how much does it cost too play each game ??
Step-by-step explanation:
ill answer just gimme the info pls
Sales tax in a certain community is 7%. If the sales tax on a new car was $1,400, what was the selling price of the car
Answer:
20,000
Step-by-step explanation:
Answer:
%7 1400
100 x
7x=140000
x=20000$
The chances that you will be ticketed for illegal parking on campus are about 1/3. During the last nine days, you have illegally parked every day and have NOT been ticketed (you lucky person!). Today, on the 10th day, you again decide to park illegally. The chances that you will be caught are:
The required probability of getting caught on the 10th day is 3/5.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Probability of getting caught in 9 days
= [1 - 1/3]*9=6
The probability of getting on the tenth day is given as,
= 6/10
=3/5
Thus, the required probability of getting caught on the 10th day is 3/5.
Learn more about probability here:
brainly.com/question/14290572
#SPJ5
Here are the first 5 terms of a
quadratic sequence.
3, 18, 41, 72, 111
Find the nth term of the sequence
Answer:
15n - 12
Step-by-step explanation:
18 ----> 3 = 15
3 -15 = -12
Work out the percentage change to 2 decimal places when a price of £198 is increased to £209.99.
Answer:
6.06%
Step-by-step explanation:
198 + 6.06%=209.9988
I WILL GIVE BRAINLIEST!! PLS HELP
help for this question, please and thanks
Answer:
a = 3
b = -1
c = -5
d = -7
Step-by-step explanation:
to find each letter, put the corresponding 'x' value into the y-equation and solve:
for 'a': y = -2(-3) + (-3) = 6 + (-3) = 3
for 'b': y = -2(-1) + (-3) = 2 + (-3) = -1
for 'c': y = -2(1) + (-3) = -2 + (-3) = -5
for 'd': y = -2(2) + (-3) = -4 + (-3) = -7
Find the value of x and y and each labeled
angle.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required values are ~
[tex]\fbox \colorbox{black}{ \colorbox{white}{x} \: \: \: \: \: \: \: \: \colorbox{white}{=} \: \: \: \: \: + \colorbox{white}{40 \degree}}[/tex]
[tex]\fbox \colorbox{black}{ \colorbox{white}{y} \: \: \: \: \: \: \: \: \colorbox{white}{=} \: \: \: \: \: + \colorbox{white}{80 \degree}}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
From the given figure, we can infer that ~
3x - 20° + 2x = 180°(by linear pair)
now, let's solve for x ~
[tex]5x - 20 \degree = 180 \degree[/tex][tex]5x = 180 \degree + 20 \degree[/tex][tex]5x = 200 \degree[/tex][tex]x = 200 \degree \div 5[/tex][tex]x = 40 \degree[/tex]And, we can see that 2x = y (by alternate interior angle pair)
So, let's find the value of y ~
[tex]2x[/tex][tex]2 \times 40 \degree[/tex][tex]80 \degree[/tex]Answer:
x = 40
3x - 20 = 100
2x = 80
y = 80
2x - 15 = 65
Step-by-step explanation:
The angles 3x - 20 and 2x are a linear pair, so they are supplementary. Their measures has a sum of 180°.
Angles 2x and y are alternate interior angles, so they are congruent.
Once we find the value of x, we can find the measure of angle 2x - 15.
3x - 20 + 2x = 180
5x = 200
x = 40
3x - 20 = 3(40) - 20 = 120 - 20 = 100
2x = 2(40) = 80
y = x = 80
2x - 15 = 2(40) - 15 = 80 - 15 = 65
Today, Ravi burned 1005.7 calories while exercising. Yesterday, he burned 138 calories. How many more calories did Ravi burn today than yesterday?
Answer:
Ravi burned 867.7 more calories today than he did yesterday.
Step-by-step explanation:
To find how many more calories Ravi burned today than he did yesterday, subtract the number of calories he burned yesterday (138) from the number of calories he burned today (1005.7). This will give us the number 867.7, which is the solution to the problem.
To check this math, we can add 867.7 to 138, which will give us 1005.7, the number of calories Ravi burned today.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!8
Answer:
C
Step-by-step explanation:
Slope can truly be anything as long as they're equal
Answer:
c.their slopes are equal
At a certain theater 4 adult tickets and 2 children's tickets cost
$36.50. Three adult tickets and 5 children's tickets cost $38.75. Which
system of equations could be used to determine the cost of one adult
ticket, a, and one child's ticket, c?
A. 4a +2c= 36.50
3a + 5c = 38.75
B. 7a+ 7 = 14
a+b= 75.2
C. 7a = 36.50
5a + 7c = 38.75
D. 4a + 2c = 38.75
За + 5c = 36.50
And how much is an adult ticket?how much is an child ticket?
Answer:
A
Step-by-step explanation:
if a = amount of adult tickets and c = amount of children's tickets
4 adult tickets plus 2 children's tickets equals $36.50
4a + 2c = 36.50
Also, 3 adult tickets and 5 children's tickets equals $38.75
3a + 5c = 38.75
Sabrina wants to go from her house to a park. The park is 6.8 miles away from her house. To get there, she heads east for 1.6 miles. Then she turns
and travels north until she reaches the park.
The answer is C, 6.6 miles.
Answer:
B
Step-by-step explanation:
I've done these type of questions before, pretty easy you can even figure it out without paper, just pure logic.
In ΔVWX, w = 490 inches, ∠W=31° and ∠X=79°. Find the area of ΔVWX, to the nearest square inch.
Answer:
= 215008. 21 in²
Step-by-step explanation:
Which of the following functions has a factor of x + 1?
f(x) = x^3 – 12x^2 + 27x + 40
f(x) = x^3 - 14x^2 + 53x – 41
f(x) = x^3 – 14x^2 + 53x + – 40
f(x) = x^3 - 12x² + 27x + 39
Answer:
x³-12x²+27x+40 has factors (x-8)(x-5)(x+1)
Louise buys 4 pencils for £1.20. How much does one cost? :)
Answer:
O.3 pound
Step-by-step explanation:
1.20/4=0.3 pound
Answer:
1.20 divided 4 = 0.3
One pencil costs £0.3
Step-by-step explanation:
Is -1/2 equivalent to - 1/2
Answer:
Yes
Step-by-step explanation:
- 1 / 2 = - 1 / 2
Both are equal.
Which situation can be modeled by the inequality 65-8x>9
Answer:
x<7
Step-by-step explanation:
65-8x>9
-8x>9-65
-8x>-56
x<7
Answer:
x<7
Step-by-step explanation:
65-8x>9
-8x>9-65
-8x>-56
x<7
Evaluate the expression for x = 5:
2•(x-2)^2+5
Answer:
2•(x-2)^2+5 3x + 3 = x + 13, 3x = x + 10, 2x = 10, and x = 5.
I hope that this helps :P (and thx for the ez pointsss)
Ab= 14
Co=8
OD=3
Find ob
OB be x
[tex]\\ \sf\longmapsto AO\times OB=CO\times OD[/tex]
[tex]\\ \sf\longmapsto (14-x)x=8(3)[/tex]
[tex]\\ \sf\longmapsto 14x-x^2=24[/tex]
[tex]\\ \sf\longmapsto x^2-14x+24=0[/tex]
[tex]\\ \sf\longmapsto x^2-12x-2x+24=0[/tex]
[tex]\\ \sf\longmapsto x(x-12)-2(x-12)=0[/tex]
[tex]\\ \sf\longmapsto (x-2)(x-12)=0[/tex]
[tex]\\ \sf\longmapsto x=2\:or\:x=12[/tex]
(3 * 7) + (2 * 5)
[tex](3 \times 7) + (2 \times 5)[/tex]
Answer:
31
Step-by-step explanation:
Answer:
31
Step-by-step explanation:
3×7=21
2×5=10
21+10=31
10 to the power of -2
Answer:
0.01
Step-by-step explanation:
your welcome :D have a good day pls mark me with the crown (whatever its called lol)
Find the missing angle. *
45
X
65
45
52
O 25
Answer:
Ans is 65
Mark me BRAINLIEST
Answer:
x is 45
Step-by-step explanation:
since the interior of a circle is 360, and that portion of the outside Is 45, we add 45 to get 90.since there are 4 quarter in a circle, each one would equal 90. 90 times 4 is 360.
6 (x + 2)^12 - 8 = 64
The gov't of SVG has $1000,000 to share amongst (Health, Tourism, Edu) in the ratio 3.5.2 respectivity. How does each sector gets ? much honey 3 X
Answer:
The operational guide of the Saint Vincent and the Grenadines Bureau of Standards (SVGBS) is envisaged in its mission and vision statements.
Step-by-step explanation:
plz .can any one help me.how we calculate this solution : 2 power2 + 6
Answer:
2² = 2*2
(2*2) + 6 = 4+6 = 10