Answer:
[tex] \boxed{ \frac{24}{5} }[/tex]Step-by-step explanation:
[tex] \mathsf{3(2 \frac{1}{2} - 1) + \frac{3}{10} }[/tex]
Convert mixed number to improper fraction
[tex] \mathrm{3( \frac{5}{2} - 1) + \frac{3}{10} }[/tex]
Calculate the difference
⇒[tex] \mathrm{3( \frac{5 \times 1}{2 \times 1} - \frac{1 \times 2}{1 \times 2} }) + \frac{3}{10} [/tex]
⇒[tex] \mathrm{ 3 \times( \frac{5}{2} - \frac{2}{2}) } + \frac{3}{10} [/tex]
⇒[tex] \mathrm{3 \times ( \frac{5 - 2}{2} ) + \frac{3}{10} }[/tex]
⇒[tex] \mathrm{3 \times \frac{3}{2} + \frac{3}{10} }[/tex]
Calculate the product
⇒[tex] \mathrm{ \frac{3 \times 3}{1 \times 2} + \frac{3}{10} }[/tex]
⇒[tex] \mathrm{ \frac{9}{2} + \frac{3}{10}} [/tex]
Add the fractions
⇒[tex] \mathsf{ \frac{9 \times 5}{2 \times 5} + \frac{3 \times 1}{10 \times 1} }[/tex]
⇒[tex] \mathrm{ \frac{45}{10} + \frac{3}{10} }[/tex]
⇒[tex] \mathrm{ \frac{45 + 3}{10 } }[/tex]
⇒[tex] \mathrm{ \frac{48}{10} }[/tex]
Reduce the numerator and denominator by 2
⇒[tex] \mathrm{ \frac{24}{5} }[/tex]
Further more explanation:
Addition and Subtraction of like fractions
While performing the addition and subtraction of like fractions, you just have to add or subtract the numerator respectively in which the denominator is retained same.
For example :
Add : [tex] \mathsf{ \frac{1}{5} + \frac{3}{5} = \frac{1 + 3}{5} } = \frac{4}{5} [/tex]
Subtract : [tex] \mathsf{ \frac{5}{7} - \frac{4}{7} = \frac{5 - 4}{7} = \frac{3}{7} }[/tex]
So, sum of like fractions : [tex] \mathsf{ = \frac{sum \: of \: their \: number}{common \: denominator} }[/tex]
Difference of like fractions : [tex] \mathsf{ \frac{difference \: of \: their \: numerator}{common \: denominator} }[/tex]
Addition and subtraction of unlike fractions
While performing the addition and 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.
For example:
[tex] \mathsf{add \: \frac{1}{2} \: and \: \frac{1}{3} }[/tex]
L.C.M of 2 and 3 = 6
So, ⇒[tex] \mathsf{ \frac{1 \times 3}{2 \times 3} + \frac{1 \times 2}{3 \times 2} }[/tex]
⇒[tex] \mathsf{ \frac{3}{6} + \frac{2}{6} }[/tex]
⇒[tex] \frac{5}{6} [/tex]
Multiplication of fractions
To multiply one fraction by another, multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.
When any number or fraction is divided by a fraction, we multiply the dividend by reciprocal of the divisor. Let's consider a multiplication of a whole number by a fraction:
[tex] \mathsf{4 \times \frac{3}{2} = \frac{4 \times 3}{2} = \frac{12}{2} = 6}[/tex]
Multiplication for [tex] \mathsf{ \frac{6}{5} \: and \: \frac{25}{3} }[/tex] is done by the similar process
[tex] \mathsf{ = \frac{6}{5} \times \frac{25}{3} = 2 \times 5 \times 10}[/tex]
Hope I helped!
Best regards!
what’s the equation of line ?
y =__x + __
Answer:
y=3/4x-2
Step-by-step explanation:
two points from graph (0-2) and (8,4)
find slope m: y2-y1/x2-x1
m=4+2/8-0
m=6/8=3/4
x=0 then y=b=-2
y=3/4x-2
In Parallelogram DEFG, DH= x+3, HF= 3y, GH= 2x-5, and HE= 5y+2. Find the values of x and y.
Answer:
y=13 , x=36
Step-by-step explanation:
The diagonal of parallelogram bisect at a point where the sides across the intersection are equal
DH=HF
x+3=3y
x=3y-3 first equation
HE=GH
2x-5=5y+2 ⇒ 2x-5y=7 second equation
solve by substitution: x=3y-3
2x-5y=7
2(3y-3)-5y=7
6y-6-5y=7
y=7+6
y=13
x=3y-3
x=3(13)-3
x=36
A rectangle's length and width are in a ratio of 3:1. The perimeter is 72 inches. What are the length and width?
Answer:
Step-by-step explanation:
If the sides exist in a ratio to one another, then when you multiply some number x by both the length and the width, they still remain as a ratio. The length will be 3x and the width will be 1x. The perimeter formula is
P = 2L + 2W and since our perimeter is 72 and we have both the length and the width, we can fill in the formula and solve for x:
72 = 2(3x) + 2(1x) and
72 = 6x + 2x and
72 = 8x so
9 = x.
If x = 9, then 1x = 9 and 3x = 27. Let's check the perimeter against those side lengths.
P = 2(3x) + 2(1x) and
P = 2(27) + 2(9) and
P = 54 + 18 so
P = 72
and you're done! (The bold numbers above are the width and length, respectively.)
Elena drank 3 liters of water yesterday. Jada drank 3⁄4 times as much water as Elena. Lin drank twice as much water as Jada. Did Lin drink more or less water than Elena? Group of answer choices
Answer:
Lin drank more water
Step-by-step explanation:
Given
Elena = 3 litres
Jada = ¾ of Elena
Lin = 2 times of Jada
Required
Determine if Lin drank more or less water than Elena
First, we have to get the actual amount of water Jada drank.
Jada = ¾ of Elena
Substitute 3 litres of Elena
[tex]Jada = \¾ * 3 litres[/tex]
[tex]Jada = 9/4 litres[/tex]
[tex]Jada = 2\¼\ litres[/tex]
Lin = 2 * Jada
Substitute 2¼ litres for Jada
[tex]Lin = 2 * 2\¼\ litres[/tex]
[tex]Lin = 2 * 9/4 litres[/tex]
[tex]Lin = 9/2 litres[/tex]
[tex]Lin = 4\frac{1}{2} litres[/tex]
Recall that Elena drank 3 litres
Comparing 3 Litres to [tex]4\frac{1}{2}[/tex] litres, we can conclude that Lin drank more water.
how do you find the area of an open cylinder... what is the Formula?? please help
Answer:
Cylinder has a formula
π×r²×h
so of it is open
π×r²×h - π×r²
Answer:
pls give brainiest
Step-by-step explanation:
A=2πr×h(r+h)
Find x
A. 33
B. 44√3
C. 33√2
D. 11√3
Answer:
d
Step-by-step explanation:answer is d on edg
el deposito de gasolina en una estacion de servicio alcanza para 5 dias si se venden 1400 galones diarios ¿cuantos galones diarios deben venderse para que el deposito cura 7 dias?
Answer:
u should put this also in English then type it in so it will translate
please i need help asap lol
A baseball league is holding registration for both a men's league and a women's league. Only a total of 546 players can register, and each team consists of exactly 13 players. If 25 women's teams have already registered, which inequality could be used to find m, the number of men's teams that can register? A. 25(13) + 13m 546 C. 25(13 + 13m) 546
Answer:
546 - 25 x 13 (divided by) 13
546 - (25 x 13) / 13
Step-by-step explanation:
25 x 13 = 325
546 - 325 = 221
221 / 13 = 17
17 mens teams can register.
Answer:
[tex]25(13)+13m\leq 546[/tex]
A
Step-by-step explanation:
Each team can only consists of thirteen players. Therefore, by letting w represent the number of women's teams and m the number of men's teams, the total number of players is represented by the equation:
[tex]13w+13m[/tex]
The total number of players cannot surpass 546. In other words, it must be less than or equal to. Therefore:
[tex]13w+13m\leq 546[/tex]
We are given that that 25 women's teams have already signed up. To find out the possible number of men's teams that can sign up, we can substitute 25 for w and then solve for m.
Therefore:
[tex]25(13)+13m\leq 546[/tex]
In conclusion, the answer is A.
Luis, Diego, and Cecil are going fishing.
Luis brings 4 cans of worms. Diego brings
3 cans of worms plus 2 extra worms. Cecil
brings 2 cans of worms. If they have a
total of 65 worms and each can contains
the same number of worms, how
many worms are in each can?
Answer:
7
Step-by-step explanation:
If we call the number of worms in a can x, we can write:
4x + 3x + 2 + 2x = 65
9x + 2 = 65
9x = 63
x = 7 worms
need help with my hw make H the subject of the formula x = 5h + 8
Answer:
h = (x - 8)/5
Step-by-step explanation:
Step 1: Write out expression
x = 5h + 8
Step 2: Isolate variable h (Subtract 8 on both sides)
x - 8 = 5h
Step 3: Isolate h (Divide both sides by 5)
(x - 8)/5 = h
Step 4: Rewrite
h = (x - 8)/5
BRAINLIEST, THANKS AND 5 STARS IF ANSWERED CORRECTLY.
Which sets of points does NOT represent a function?
A. (-2, 1), (6, 3), (5, 1), (-4, 6)
B. (-7, 3), (1, 2), (5, 3), (-7, 2)
C. (-4, -3), (-1, 2), (0, 5), (3, 2)
D. (-5, -1), (-2, -1), (1, -1), (4, -1)
B has two pre-images of -7 so it is not a function
B. (-7, 3), (1, 2), (5, 3), (-7, 2)
Since
x = − 7 produces y = 3 and y = 2
So the relation is not a function.
I need help pls will give you five stars and a big thank you comrade
Answer:
B, f(x) = ( x+2) ^2(x-1) (x+3)
Step-by-step explanation:
Looking at the x- intercepts, the line passes at 2, -1, and 3, so B is you answer (:
the sum of two integers is 116. if one of them is -79 find the other integers
Answer:
195
Step-by-step explanation:
So -79 + x = 116
then x = 116 + 79 = 195
Answer:
The sum of two consecutive integers will always be an odd number.
Step-by-step explanation:
-79 + x = 116
x = 116 + 79 = 195
195 is the answer
(IF THE ANSWER IS HELPFUL)
*PLEASE MARK ME BRAINIEST*
Thank you, have a nice day
another one another one...........
Answer:
B
Hope it helped you out
Tysm
Null hypothesis: There is no difference in the average start-up costs of the 4 different types of shops. Alternative hypothesis: There is a difference in the average start-up costs of the shops
Answer:
True
Step-by-step explanation:
The null and alternate hypothesis are established terms that are used in statistics. Note that the Null hypothesis often represents the expected outcome, as in this example that– "There is no difference in the average start-up costs of the 4 different types of shops".
Meanwhile, the Alternative hypothesis tells the opposite of expected outcome– "There is a difference in the average start-up costs of the shops working statement".
Thus, the forcus of the research would be to prove whether the null hypothesis is true or false. If it is true, then we fail to reject the null hypothesis.
A local gym charges a $25 monthly membership fee plus $2 per hour for aerobics classes. What is the linear equation that describes the relationship between the total monthly cost (Y) and the number of class hours each month (X)
Answer:
The equation is same as the equation for a straight line Y= mx+cStep-by-step explanation:
The linear equation that describes the relationship between the total monthly cost Y and number of class hours in each month X is the same as the equation of line which is
[tex]Y= mx+c\\\\ Y= 2X+25[/tex]
where Y= the dependent variable, monthly cost
x= the independent variable, the number of hours for aerobic classes
c= the intercept, $25
can you solve;
3/7+5/21
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\frac{3}{7}+\frac{5}{21}[/tex]
[tex]= \frac{3}{7}+\frac{5}{21}[/tex]
[tex]= \frac{9}{21}+\frac{5}{21}[/tex]
[tex]= \frac{9 + 5}{21}[/tex]
[tex]= \frac{14}{21}[/tex]
[tex]= \frac{2}{3}[/tex] (Decimal: 0.666667)
Answer : [tex]\boxed{\frac{2}{3} }[/tex] (Decimal: 0.666667)
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
The graph below shows the survey results for a group of students who were asked how many honors classes they have taken and how many elective classes: How many elective classes would a student likely have taken if he or she has taken 12 honors classes? 15, because y = one halfx + 9 12, because y = y = negative one halfx + 9 6, because y = one halfx + 9 3, because y = negative one halfx + 9
Answer:
3, because [tex]y=-\frac{1}{2}x+9[/tex].
Step-by-step explanation:
Looking at this graph, we can start to determine the equation for it.
The y-intercept of this graph is 9, therefore there will be a constant of 9.
We can find the slope by looking at rise over run. It vertically travels -1 for every 2 horizontally. So the slope is [tex]-\frac{1}{2}[/tex].
Making this into an equation gets us [tex]y=-\frac{1}{2}x+9[/tex].
Now we can substitute 12 into this equation as x.
[tex]y=-\frac{1}{2}(12)+9\\ y=-6+9\\y=3[/tex]
Hope this helped!
Answer:
the other person is correct! C:
Step-by-step explanation:
Vanessa uses the expressions (3x2 + 5x + 10) and (x2 – 3x – 1) to represent the length and width of her patio. Which expression represents the area (lw) of Vanessa’s patio?
To get the area simply multiply the length by the width.
(3x^2+5x+10)(x^2-3x-1) = 3x^4 - 4x^3 - 8x^2 - 35x - 10
Answer:
the answer is A
Step-by-step explanation:
got it right on edge
Figure ABCD is a rectangle Find the value of x
Step-by-step explanation:
Since this is a rectangle these two equations for the length have to equal each other.
2x+4=7x-1
We now need to get all of the x's on one side and constant numbers on the other side.
add 1 to both sides and subtract 2x from both sides.
5=5x
divide 5 from both sides.
x=1
What the answer now
Answer:
35.6 yd²
Step-by-step explanation:
Area of ∆UVW can be solved if we know the lengths of 2 sides and their included angle.
We are Given just 1 side, UV (w). Use the law of sines to find UW (v).
Thus:
[tex] \frac{v}{sin(V)} = \frac{w}{sin(W)} [/tex]
W = 137°
w = 19 yd
V = 180 - (137 + 22) = 21° => sum of triangle
v = ??
Plug in the values and solve for v
[tex] \frac{v}{sin(21)} = \frac{19}{sin(137)} [/tex]
Multiply both sides by sin(21)
[tex] \frac{v}{sin(21)}*sin(21) = \frac{19}{sin(137)}*sin(21) [/tex]
[tex] v = \frac{19*sin(21)}{sin(137)} [/tex]
[tex] v = 10 yd [/tex] (approximated)
Find area of ∆UVW:
Area = ½*UV*UW*sin(U)
Area = ½*v*w*sin(U)
= ½*10*19*sin(22)
Area = 35.6 yd² (to nearest tenth)
a quarter of the sum of a number and 87 pls help me¡¡¡
Answer:
(x + 87)/4
Step-by-step explanation:
"a quarter" = 0.25 by numerical value.
"the sum of a number (x) and 87" = x + 87
Combine the two terms:
"the sum of a number (x) and 87" + "a quarter of the sum..." = (x + 87) * 0.25 = (x + 87)/4
(x + 87)/4 is your answer.
~
Find the distance between the points J( – 8,0) and K(1, 4).
The exact distance between the two points is
Answer:
The answer is
[tex] \sqrt{97} \: \: units[/tex]
Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
J( – 8,0) and K(1, 4)
The distance between them is
[tex] |JK| = \sqrt{ ({ - 8 - 1})^{2} + ({0 - 4})^{2} } \\ = \sqrt{ ({ - 9})^{2} + ( { - 4})^{2} } \\ = \sqrt{81 + 16} \\ [/tex]
We have the final answer as
[tex] \sqrt{97} \: \: \: units[/tex]
Hope this helps you
A researcher wants to use a confidence interval to estimate the proportion of college students in his state who plan to vote in the 2020 presidential election. He plans to randomly sample 120 college students, and plans to construct a 95% or 99% confidence interval. Which of these confidence intervals will be wider, and why
Answer:
99% confidence interval will be wider because as the level of confidence increase the width increases as well and the standard error decreases
Step-by-step explanation:
The confidence interval is directly proportional to the sample size hence the 99% confidence interval will be wider than the 95% confidence interval of the sample of 120 college students
using a 99% confidence interval gives a more accurate result than a 95% confidence because the standard error decreases with increase in confidence interval
kim places £500 in a bank account the pays 3% simple interest each year
how much interest will she earn each year?
how much will she have in her account after 1 year
Hannah’s mom bought a variety pack of chips. There were a total of 12 bags. Her mom put the bags in a jar. There were 5 barbecue,3 plain,3 sour cream, and 1 tortilla.
What is the probability of Hannah selecting a bag of barbecue chips if she doesn’t look in the jar?
A.) 5/12
B.) 5/7
C.) 12/5
D.) 1/12
E.) 7/12
Answer:
5/12
Step-by-step explanation:
There is a total of 12 bags, 5 of which are bbq
P ( bbq) = number of bbq/ total
= 5/12
line passing through points (-4,2) and (0,3)
Answer:
y-y1=m(x-x1)
or,y-2=1/4(x+4)
or,4y-8=x+4
or,x-4y+12=0 is the required equation.
Step-by-step explanation:
If it helps you, plz mark it as brainliest
1. What is the solution to 6m – 10 = 22 – 2m ?
Answer:
The value of m in the given equation is 4.
Step-by-step explanation:
6m - 10 = 22 - 2m
Add 2m on both sides of the equation.
8m - 10 = 22
Add 10 to both sides of the equation.
8m = 32
Divide by 8 on both sides of the equation.
m = 4
The value of m is 4.
Euphrosynelight needs 2x-7 while her friend needs 5x+2 how much in total
Answer:
7x-5
Hope this helped; mark brainliest if it did! :)
Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many laps must Kellyn jog to meet her goal?
