Answer:
see below:-
Step-by-step explanation:
Given,
[tex] \displaystyle{5 \frac{1}{6} + 2 \frac{1}{3} - 5 \frac{11}{12} }[/tex]
Convert the mixed fractions into improper fractions.[tex] \displaystyle{ \frac{31}{6} + \frac{7}{3} \ - \frac{71}{12} }[/tex]
Take LCM of the denominators:-LCM of 6,3 and 12=3×2×1×1×2=12[tex] \therefore{\displaystyle{ \frac{31}{6} + \frac{7}{3} - \frac{71}{12} = \frac{31 \times 2 + 7 \times 4 - 71 \times 1}{12} }}[/tex]
[tex] = \displaystyle{ \frac{62 + 28 - 71}{12} }[/tex]
[tex]\displaystyle{ = \frac{90 - 71}{12} }[/tex]
[tex]\displaystyle{ = \frac{19}{12} }[/tex]
Convert the improper fractions into mixed fraction:-[tex]\displaystyle{1 \frac{7}{12} }[/tex]
[tex] \quad\hookrightarrow\quad \sf {\dfrac{19}{12}\: or \: 1\dfrac{7}{12} }[/tex]
Ⲋⲟⳑⳙⲧⳕⲟⲛ :We will solve the given mixed fraction in 2 steps :
Converting into improper fraction[tex] \implies\quad \tt {5\dfrac{1}{6}+2\dfrac{1}{3}-5\dfrac{11}{12} }[/tex]
[tex] \implies\quad \tt { \dfrac{(6\times 5)+1}{6}+\dfrac{(3\times 2)+1}{3}-\dfrac{(12\times 5)+11}{12}}[/tex]
[tex] \implies\quad \tt { \dfrac{30+1}{6}+\dfrac{6+1}{3}-\dfrac{60+11}{12}}[/tex]
[tex] \implies\quad \tt { \dfrac{31}{6}+\dfrac{7}{3}-\dfrac{71}{12}}[/tex]
Taking L.C.M[tex] \implies\quad \tt { \dfrac{(2\times31)+(4\times 7)-(1\times 71)}{12} }[/tex]
[tex] \implies\quad \tt { \dfrac{62+28-71}{12}}[/tex]
[tex] \implies\quad \tt { \dfrac{90-71}{12}}[/tex]
[tex] \implies\quad \tt {\dfrac{19}{12} }[/tex]
[tex] \implies\quad\underline{\underline {\pmb{\tt {1\dfrac{7}{12} }}}}[/tex]
To make a cell phone protector, a company uses plastic rectangles 6 centimeters by 10 centimeters. Then squares x centimeters wide are cut from each corner. Use the drop-down menus below to complete statements using words and symbols to describe the area in square centimeters of the remaining plastic.
Answer:
The area of the remaining plastic is given by the difference:
original area- area of all square cutouts.
60 cm- 4x^2
Step-by-step explanation:
bc i got it right on imagine math
Find the area.
13 mm
26 mm
15 mm
32 mm
PLS HELPPP ♀️
Answer:
area=20x13x26x15x32=formula is +ALL20X13=260x26=5720x15x32480 is yours you play ff
Which of the following choices shows how you would simplify this expression?
13 x - 9 - 6x
a. 7x + 9
b. 19x -9
c, 7x - 9
d. -2x
Answer:
C
Step-by-step explanation:
13x-6x= 7x
Nothing is similar to -9 so it would stay the same
So the overall answer would be 7x-9
Sorry if this is incorrect, good luck!
Answer:
7x-9
Step-by-step explanation:
(13x-6x)-9
simplify
7x-9
Describe the transformations necessary to transform the graph of f(x) into that of g(x). Please. SHOW YOUR WORK
Answer:
17) C
18) D
19) B
Step-by-step explanation:
17) As you see that is a fraction ahead of x^2. So you stretch it vertically. The best part here is even if you forget the principle just search for transformations of relative function (by relative I mean the function from context).
18) (x-2)^2 - 1, the -1 translates the graph down on a unit.
the horizontal transformation is defined as (x - a) or in other words, if you see -2 you actually move the graph on 2 units.
19) You see that -1/3 which means you reflect it over the y-axis and compress it by a factor of 3. Also, we translate it to the right by 3.
Do the 20th yourself now.
The diagram below shows the floor plan for a new restaurant at the mall. Three of the corners are right angles. What is the perimeter of the floor plan? 182 feet 182 feet 194 feet 194 feet 200 feet 200 feet 213 feet
Answer:
add a diagram next time
Step-by-step explanation:
we could've helped if you did
A bucket contains 4 1/2 gallons of water. If Trudy adds 5 3/8 gallons more, how many gallons will there be in all?
Answer:
9 7/8 gallons of water.
Step-by-step explanation:
When you convert both mixed numbers into improper fractions with the same denominator, you can add the two fractions
5 3/8 as an improper fraction is 43/8, and 4 1/2 becomes 9/2. Multiply 9/2 by 4 to get the same denominators for both fractions.
43/8 + 36/8 = 79/8
79/8 as an improper fraction is 9 7/8.
find the value of x and y.
Answer:
x = 11°
y = 56°
Step-by-step explanation:
6x -10 and 5x + 1 are the same because they are vertical angles. vertical angles are congruent
6x - 10 = 5x + 1x - 10 = 1x = 11°y and 5x - 1 are the same because they are corresponding.
y = 5x + 1y = 5(11) + 1y = 55 + 1y = 56-Chetan K
When Sarah turned 18, she took $500 from her savings and opened a
ROTH IRA. Sarah chose to invest her money in a low fee index fund.
Based on historical data, Sarah predicts she can expect an average 7%
return on her money each year. If Sarah's prediction is correct, how
much will her $500 investment be worth when she is 68 years old?
(Assume she makes no other contributions to the account after the first
time)
The worth of Sarah's investment when she is 68 is $14,728.51.
What is the worth of the investment?The formula that can be used to determine the worth of the investment is:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = interest rate
N = number of years = 68 - 18 = 50
$500 x (1.07)^50 = $14,728.51
To learn more about future value, please check: https://brainly.com/question/18760477
what integers are closet to the number 95
Answer:
94 and 96
Step-by-step explanation:
the closet to the numbers 95
If "z" is a standard normal variable, find the probability that "z" is less than 1.16. Sketch the graph and the required area.
Answer:
Step-by-step explanation:
It would be more obvious if it says z is a standard Normal variable and that the question is related to statistics.
From "Computing Probabilities Using the Cumulative Table" , the probability of z is less than 1.16, P(z<1.16) = 0.8770.
Given two equations, MN = 20 and S=2-M+N Find the positive values of M and N . when S is minimum.
The positive values of M and N are; 3.6 and 5.6 respectively.
Simultaneous equationsWhen S is minimum, s can be equated to 0.
On this note, it follows that the resulting equations are;
MN = 200=2-M+NFrom Substitution of M = 2 +N in the second equation; it follows that;
(2+N)N = 20N² + 2N -20 = 0.Hence, upon solving the quadratic equation;
N = 5.6 or N = -3.6Therefore, the positive value of N is; 5.6 and hence,
M = 20/N = 20/5.6 = 3.6Read more on simultaneous equations;
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The positive values of M and N are; 3.6 and 5.6 respectively.
Simultaneous equationsWhen S is minimum, s can be equated to 0.
On this note, it follows that the resulting equations are;
MN = 200=2-M+NFrom Substitution of M = 2 +N in the second equation; it follows that;
(2+N)N = 20N² + 2N -20 = 0.Hence, upon solving the quadratic equation;
N = 5.6 or N = -3.6Therefore, the positive value of N is; 5.6 and hence,
M = 20/N = 20/5.6 = 3.6Read more on simultaneous equations;
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HELLO CAN SOMEONE PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST
Answer:
4ft, 9ft, and 6ft
Step-by-step explanation:
A triangle needs to have sides, a + b > c otherwise it will not be a triangle
Your welcome, comment if you have any questions! :D
Answer:
4ft, 9ft, 6ft
Step-by-step explanation:
To make a triangle, the two smallest sides have to be greater than the longest side. So, if we add the sides for each answer:
3ft + 6ft < 10ft
3ft + 6ft = 9ft
4ft + 6ft > 9ft
4ft + 5ft < 10ft
we can see that only the third answer meet the 'side rule.'
Find five consecutive odd integers if the sum of the first three integers is 3 more than the sum of the last two
It is one of the general forms to write an odd Integer..
ATQ,[tex] \rm(2k + 1) + (2k + 3) + (2k + 5) = (2k + 7) + (2k + 9) + 3[/tex]
Using the equation Solve for K and then we will find the integers
[tex] \rm \: (2k + 1) + 2k + 3 + (2k + 5) = 2k + 7 + 2k + 9 + 3[/tex]
[tex] \rm2k + 1 + 2k + 2k + 5 = 2k + 7 + 2k + 9[/tex]
[tex] \rm \: 1 + 2k + 5 = 7 + 9[/tex]
[tex] \rm \: 6 + 2k = 16[/tex]
[tex] \rm \: 2k = 16 - 6[/tex]
[tex] \rm \: 2k = 10[/tex]
[tex] \boxed{ \tt \: k = 5}[/tex]
Now,[tex]\large{|\underline{\mathtt{\red{1 ^{st} }\blue{ \: }\orange{i}\pink{n}\blue{t}\purple{e}\green{g}\red{e}\blue{r}\orange{ : }\green{ - }\red{}\purple{}\pink{}}}}[/tex]
[tex] \sf \: 2k + 1 \\ \sf 2 \times 5 + 1 \\ \sf \: 10 + 1 = 11[/tex]
[tex]\large{|\underline{\mathtt{\red{2 ^{nd} }\blue{ \: }\orange{i}\pink{n}\blue{t}\purple{e}\green{g}\red{e}\blue{r}\orange{ : }\green{ - }\red{}\purple{}\pink{}}}}[/tex]
[tex] \sf \: 2k + 3 \\ \sf 2 \times 5 + 3\\ \sf \: 10 + 3 = 13[/tex]
[tex]\large{|\underline{\mathtt{\red{3 ^{rd} }\blue{ \: }\orange{i}\pink{n}\blue{t}\purple{e}\green{g}\red{e}\blue{r}\orange{ : }\green{ - }\red{}\purple{}\pink{}}}}[/tex]
[tex] \sf \: 2k + 5 \\ \sf 2 \times 5 + 5\\ \sf \: 10 + 5 = 15[/tex]
[tex]\large{|\underline{\mathtt{\red{4^{th} }\blue{ \: }\orange{i}\pink{n}\blue{t}\purple{e}\green{g}\red{e}\blue{r}\orange{ : }\green{ - }\red{}\purple{}\pink{}}}}[/tex]
[tex] \sf \: 2k + 7 \\ \sf 2 \times 5 + 7\\ \sf \: 10 + 7= 17[/tex]
[tex]\large{|\underline{\mathtt{\red{5 ^{th} }\blue{ \: }\orange{i}\pink{n}\blue{t}\purple{e}\green{g}\red{e}\blue{r}\orange{ : }\green{ - }\red{}\purple{}\pink{}}}}[/tex]
[tex] \sf \: 2k + 9 \\ \sf 2 \times 5 + 9\\ \sf \: 10 + 9= 19[/tex]
➪ Thus, The five consecutive odd integers are 11,13,15,17,19...~
Answer: 11, 13, 15, 17, and 19
please someone help I’ll give u the brainliest answer
Answer:
Step-by-step explanation:
Already answered here: https://brainly.com/question/26782089
solve the inequality 5> 2x-7=
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
[tex]2x < 5+7[/tex]Add 7 to both sides.
[tex]2x < 5+7[/tex]
Add 5 and 7 to get 12.
[tex]2x < 12[/tex]
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
[tex]x < \frac{12}{2}[/tex]
Divide 12 by 2 to get 6.
[tex]x < 6[/tex]
I hope this helps you
:)
Write 350 as a product of primes. Use index notation when giving your answer
Answer:
5² x 7 x 2
Step-by-step explanation:
350
= 35 x 10
= 7 x 5 x 5 x 2
= 5² x 7 x 2
1) You earned $1600 in a summer job and you were paid with a check. You are going to open a checking account at hometown bank and put $800 into the account. What amount would you fill in for each letter? Please include the letter and then the amount. If there isn’t amount you can write, for example, A) 0 or A) none
(picture attached for this question)
2) The deposit slip that you filled out above needs to be signed. True/False
Answer:
The answer is A hope it helps
Step-by-step explanation:
The earned money is $1600. In which $800 is needed to deposit in bank . The, in the deposit slip choose the option C for check and the write the amount as $eighthunderd only in letter and then in numbers. The sign have to to be put there if only we receive the cash.
What is a checking account ?A checking account makes it simple to access your money for daily transactions while also keeping it safe. Typically, customers can pay their bills or make purchases using a debit card or a check.
Several methods may be available for accounts to help avoid the monthly service charge. For daily expenses, a checking account is a bank account. You can use it to settle debts, buy things, and more.
The checking account is started with $800 here. So the the option C or option A for bills can be chosen. Then write the amount in number as well in letters.
2. The sign of the depositor must be there if they have received cash. Hence, the statement is false.
Find more on checking account:
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PLEASE HELP!!!! I'LL GIVE BRAINLLEST!!! a bag contains hair ribbons for a spirit rally. The bag contains 8 black ribbons and 12 green ribbons. Lila selects a ribbon at random, then Jessica selects a ribbon at random from the remaining ribbons. What is the probability that both Lila and Jessica select a black ribbon? Express your answer as a fraction in simplest form.
Urgent please help me
Step-by-step explanation:
you have everything right except that C should be the answer to the first one and A should be the answer to the third one.
so your answers should be like
C
D
A
B
Answer:
The answer is:
C
D
A
B
Step-by-step explanation:
A is wrong on the first question since it doesn't connect two points on the circle. It's the radius which is from the centre to any end of the circle.
100 POINTS!!!!
Mai's gross pay is $6,476. How much of her gross pay will be deducted for FICA taxes? (The social security tax rate is 6.2% and the medicare tax rate is 1.45%)
SHOW WORK FOR 100 POINTS!
Total tax:-
6.2+1.45=7.65%Now we need 7.65% of Gross pay
[tex]\\ \rm\Rrightarrow 7.65\%\:of\:6476[/tex]
[tex]\\ \rm\Rrightarrow 0.0765(6476)[/tex]
[tex]\\ \rm\Rrightarrow 495.4\$[/tex]
Explain how the part of a whole can be greater than the whole itself
Answer:
negative number
Step-by-step explanation:
-1
1/4 of -1 = -1/4
-1/4 is greater than -1
The negative number part or fraction is bigger than the whole number itself example (-1/2)(-2) > -2.
What is a number system?The number system is a way to represent or express numbers.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Let's consider a negative number -8.
The 1/4 part of it ⇒
(1/4) × (-8) = -2
Since -2 > -8 so (1/4) × (-8) > -8
It is clear that for all negative numbers the part of it will be bigger than the number itself.
Hence "The negative number part or fraction is bigger than the whole number itself example (-1/2)(-2) > -2".
For more about the number system,
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solve for x
6/15 = 3/x
Answer:
7.5 or 15/2
Step-by-step explanation :
A certain number when divided by 4 gives a remainder 3.The same number when divided by 3 gives a remainder of two.Which of the following can be the number?
Answer:
2
Step-by-step explanation:
let n=4q+3
then 2n =8q+6
=4(2q+1)+2
Trigonometry find X and Y
Answer: 100
Step-by-step explanation: multiply 45 x 45 because it is a right angle and both sides equal the same.
How can you check that this answer is correct? 24,230 - 5 = 4,846
Answer/Step-by-step explanation:
This question is false because:
24230
- 5 [Regroup]
----------------
24225
Hence, this answer isn't correct.
[RevyBreeze]
Twice last month, Judy Carter rented a car in Fresno, California, and traveled around the Southwest on business. The car rental agency rents its cars for a daily fee,
plus an additional charge per mile driven. Judy recalls that her first trip lasted 4 days, she drove 400 miles, and the rental cost her $248.00. On her second business
trip she drove 200 miles in 3 days, and paid $161.00 for the rental. Find the daily fee and the mileage charge.
Answer:
Step-by-step explanation:
Let d = daily fee in dollars
Let +m = milage charge in dollars
In words:
( Cost of rental ) = ( number of days rented )x( daily fee ) + ( miles driven )x( milage fee )
For her first trip:
(1) +240.5+=+4d+%2B+450m+
For her 2nd trip:
(2) +146+=+3d+%2B+200m+
-------------------------
Multiply both sides of (1) by +3+
Multiply both sides of (2) by +4+,
Then subtract (2) from (1)
A rectangular prism has a height of 18 millimeters. The base of the prism has an area of 25 square millimeters.
Answer:
volume = 450 mm³
Step-by-step explanation:
Given:
height = 18 mmarea of base = 25 mm²Volume of a rectangular prism = area of base x height
⇒ volume = 25 x 18 = 450 mm³
The sales tax rate is 7.5%. What is the tax on a $12.40 purchase?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{7.5\% of 12.40}}{\left( \cfrac{7.5}{100} \right)12.40}\implies 0.93[/tex]
Answer:
$0.93
Step-by-step explanation:
1) Turn 7.5% into a decimal which is 0.075
2) Multiply :
0.075 * 12.40 = $0.93 tax on the purchase
Second Part if you need to add :
1) Add :
$12.40 + 0.93 = $13.33
Does anyone know the attached
Answer:76.7°
Step-by-step explanation:
Step-by-step explanation:
cos (phi) = a / b
cos (phi) = 6 / 26
phi = 76,7°
Find surface area of rectangular prism
