Answer:
8 feet = 2 ²/₃ yards
Step-by-step explanation:
1 yard = 3 feet
Given width = 2 yards
⇒ width = 2 × 3 = 6 feet
Area of a rectangle = width × length
⇒ 48 ft² = 6 ft × length
⇒ length = 48 ft² ÷ 6 ft
⇒ length = 8 ft
To convert the length to yards, divide by 3:
⇒ 8 ÷ 3 = 2 ²/₃ yards
Find the solution of 3x+5/2x+1 = 1/3
Answer:
x = -2
Step-by-step explanation:
[tex]\frac{3x+5}{2x+1} = \frac{1}{3}[/tex]On cross multiplying,
3(3x + 5) = 1(2x + 1)9x + 15 = 2x + 17x = -14x = -2Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
Given equation:
[tex]\dfrac{3x+5}{2x+1}=\dfrac13[/tex]
Cross multiply:
[tex]\implies 3(3x+5)=1(2x+1)[/tex]
Expand brackets:
[tex]\implies 9x+15=2x+1[/tex]
Subtract [tex]2x[/tex] from both sides:
[tex]\implies 9x+15-2x=2x+1-2x[/tex]
[tex]\implies 7x+15=1[/tex]
Subtract 15 from both sides:
[tex]\implies 7x+15-15=1-15[/tex]
[tex]\implies 7x=-14[/tex]
Divide both sides by 7:
[tex]\implies \dfrac{7x}{7}=-\dfrac{14}{7}[/tex]
[tex]\implies x=-2[/tex]
Max has a monthly salary of $1,100 and also earns 7.5% commission on his sales. if max had $43,000 in sales last month, what were his total earnings for the month? a. $3,225 b. $4,050 c. $4,325 d. $5,150 please select the best answer from the choices provided a b c d
The total earning of the month be $4325 .
We have given that the Max has a monthly salary of $1,100 and also
earns 7.5% commission on his sales.
When Max had $43,000 in sales last month .
He earns 7.5% is commission
We have convert it into the decimal form.
[tex]\frac{7.5}{100}=0.075[/tex]
Commission Max earns = 0.075 × Total sales of the last month
Commission Max earns= 0.075 × 43000
Commission Max earns = $ 3225
What is the formula for the total earning?Total earning of a month = Monthly salary + Commission earning
Total earning of a month = $1100 + $3225
Total earning of a month = $ 4325
Therefore the total earning of the month be $4325 .
The Option (c) is correct.
To learn more about the total earning visit:
https://brainly.com/question/25623677
Please help!! 40 Points!!!!!
Answer:
see explanation
Step-by-step explanation:
A
when 2 equal bases are being multiplied together their exponents are added together, that is
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
B
[tex]12^{5x}[/tex] × [tex]12^{-7}[/tex] = [tex]12^{5x-7}[/tex]
C
[tex]x^{4}[/tex][tex]y^{6k+2}[/tex] × x²[tex]y^{-1}[/tex]
= [tex]x^{4}[/tex] × x² × [tex]y^{6k+2}[/tex] × [tex]y^{-1}[/tex]
= [tex]x^{(4+2)}[/tex] × [tex]y^{(6k+2-1)}[/tex]
= [tex]x^{6}[/tex][tex]y^{6k+1}[/tex]
#A
a^b+a^c=a^b+c#B
12^5x×12^-712^5x-7#C
x⁴y^6k+2×x²y^-1x⁶y^6k+2-1x⁶y^6k+1Which equation can be used to find the area of the parallelogram 4cm and 6cm and 10cm
For 7 points and brainliest to the best correct answer, find the missing measures. Question is in photo, thanks.
Answer:
X = 2
AB = 39
CB = 27
Step-by-step explanation:
Since it's a parallelogram (two pairs of parallel sides), we can set each opposite side equal to each other. We know the equation for two opposite sides, side AD and side CB, therefore:
[tex]AD=CB\\14x-1=9x+9\\5x=10\\x=2[/tex]
Now that we know x, we can solve the other equations:
[tex]12x+15=AB\\12*2+15=AB\\24+15=AB\\39=AB[/tex]
And:
[tex]9*2+9=CB\\18+9=CB\\27=CB[/tex]
Which expression is equivalent to sin7π/6?
Answer:
-6
Step-by-step explanation:
The answer is: 7π6=−π6
π= 3.14 or 22/7
so 7x3.14= 21.98
than divide by 6
Solve the math problem
Answer:
5
Step-by-step explanation:
slope: increase in y ÷ increase in x
slope: (45-15)÷(9-3)
slope: 30÷6
slope: 5
at a town fair it cost 9$ to enter and 1.50$ on each ride. represent this function in at least three ways
Answer:
1 2 3 ways for it to function
Step-by-step explanation:
Help asap I don’t know what I’m doing
Answer:
you are right it is ^
Step-by-step explanation:
Answer:
It is your answer
Step-by-step explanation:
Your welcome.
The baseball game started at 7:00 p.m. It ended at 9:15 p.m. How long did
the baseball game last?
Which of the following is equivalent to 24:72?
a. 1:3 b. 2:4 c. 2:3 d. 3:1
Answer: 1:3 A
Step-by-step explanation:
if you multiply 24 by 3 you get 72 it shows that 1:3 is equivalent! your welcome
Select the correct answer. Which graph represents this equation? y − 4 = -3(x + 5) A. B. C. D.
Add the number which comes in the middle of the series to the largest number and divide the total by the smallest number 28 5 18 6 7
Answer:
8.2
Step-by-step explanation:
Number in the middle of the series = 18
Largest number = 28
Smallest number = 5
(18+28)/5
46/5
8.2
The required simplified solution of the given statement is 9.2.
Given that,
To determine the simplified solution of the given condition,"Add the number which comes in the middle of the series to the largest number and divide the total by the smallest number 28 5 18 6 7".
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
According to the given statement,
Adding the number that is greater and in the middle of the former series
= 18 + 28 / 5
= 46 / 5
= 9.2
Thus, the required simplified solution of the given statement is 9.2.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ5
What do we do to both sides of this equation to solve?
x+3=5
Question 1 options:
Subtract 3 from both sides
Add 3 to both sides
Multiply both sides by 3
Divide both sides by 3
Answer:
Subtract 3 from both sides.
Step-by-step explanation:
x + 3 = 5
x = 5 - 3
x = 2
I know I`m late sorry, still wanted to answer
. _ .
Mrs. Chase hired a landscaping service to plant a row of bushes around her triangular backyard. If the bushes
must be planted 3 feet apart, approximately how many bushes are needed for the backyard? (4 points work,
1-point final answer)
12
30
The number of bushes that is approximately needed for Mrs. Chase's backyard is 23 bushes
How many bushes are needed?The number of bushes needed = perimeter of the backyard / 3 feet
The perimeter of the backyard is the sum of the three sides of the right triangle that is the shape of the backyard. The length of the third side would be detemined using Phythagors theorem.
Length of the third side : √30² - 12² = 27.50 feet
Perimeter of the backyard = 27.50 + 12 + 30 = 69.50 feet
The number of bushes needed =69.50 / 3 = 23.17 = 23 bushes
To learn more about triangles, please check: https://brainly.com/question/22949981
In order to be successful in taking math exams, what are some important test taking strategies?
Answer:
Hope this helps =)
Step-by-step explanation:
Read the questions carefullyBookmark questions you don't know or are unsure aboutStudy before the day of the testGet enough sleep the day before the testEat a good breakfast the day of the testRecheck problemsWork it outthere are 15 boys and 10 girls in mrs.rogers class what is the ratio of boys to girls ?
Answer: The ratio of boys to girls in Mrs.Rogers class is 15 to 10.
Step-by-step explanation:
The speed of the jet Alyssa flew on from Boston to London was 480 mph. On her return flight, the speed of the jet was 600 mph with a tailwind. What was Alyssa's average speed on the round trip? Round your answer to one decimal place.
P.S: The answer is not 540
Answer:
533.3
Step-by-step explanation:
x/480+x/600
2x/18x
4800/9=533.333333
533.34
Question is in the picture.
Answer:
angle A=65
a= 24.5
b= 36.4
Step-by-step explanation:
Kerri takes out a mortgage for $55,000 at 9% for 25 years. What are her monthly payment, the total amount paid, and the cost of the mortgage?
The total amount paid for the mortgage will be $123750 and the cost of the mortgage is $178750.
How to calculate the mortgage?From the information, Kerri takes out a mortgage for $55,000 at 9% for 25 years. The total amount paid will be:
= ($55,000 × 9% × 25)
= $123750
The cost of the mortgage will be:
= $55000 + $123750
= $178750
The monthly payment will be:
= ($55000 + $123750) / 25 years
= $178750/(25 × 12)
= $178750/300
= $595
Learn more about mortgage on:
https://brainly.com/question/1318711
find a area of a circumference that is 13 ft for 3.14 π
Answer:
4.14x3.14=12.9996
Step-by-step explanation:
This is the closest to 13 ft via circumference
Here is a few equations a dn formulas to remind you.
Area=3.14xRxR or Pi*rr
This is Pi times the radius times the radius.
The radius is half of the circle or half of the Diameter.
Area(semi-circle)=1/2x3.14xrxr
Circumfrence=3.14xDor 3.14xdiameter
If this answer helped pls give brainlest.
Find the gradient of the line segment between the points (1,2) and (3,-8)?
Answer:
-5
Step-by-step explanation:
[tex]gradient=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
=[tex]=\frac{-8-2 }{3-1}[/tex]
=-5
Hope it helps:)
[tex]\textsf{The gradient of a line passing through two}[/tex][tex]\sf{given \: points \:(x_1,y_1) \:and \:(x_2,y_2) \: is \:given \: by - }[/tex]
[tex]\green{ \underline { \boxed{ \sf{ Gradient =\frac{y_2-y_1}{x_2-x_1}}}}} [/tex]
Here,
[tex]\sf{x_1= 1}[/tex][tex]\sf{y_1=2}[/tex][tex]\sf{x_2=3}[/tex][tex]\sf{y_2= -8}[/tex]
Putting Values:-
[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf Gradient =\frac{-8-2}{3-1} \\\end{gathered} \end{gathered} [/tex]
[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf \frac{\cancel{-10}}{\cancel{2}} \\\end{gathered} \end{gathered} [/tex]
[tex]\begin{gathered}\begin{gathered}\\\implies\quad \bf -5 \\\end{gathered} \end{gathered} [/tex]
>>The gradient of the line segment is -5
suppose you had D dollars in your bank account. you spent $22 but have at least $28 left. how much money did you have initially? write and solve an inequality that represents this situation.
d-22 > 28; d > 50
d +22 28; d > 72
d + 22 s 28; ds 72
d-22 28; d = 50
Answer:
Answer:
d--22→ 28
d→ 50
Step-by-step explanation:
Let d dollars be the initial amount in your bank account.
We have been given that you spent $22, so the amount left after spending $22 will be: .
We are also told that after spending $22, you have at least $28. This means that the amount left after spending $22 will be greater than or equal to $28.
We can represent this information in an equation as:
Therefore, the inequality represents the initial amount of money you had.
Now let us solve for d by adding 22 to both sides of our inequality.
Therefore, initially you had at least $50.
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
brain less
The equation is C=35+4n.
If C= 500 what would N be? Please I really need the answer
Answer:
116.25 or [tex]\frac{465}{4}[/tex]
Step by Step Explanation;
500=35+4n
Subtract 35 from both sides
465=4n
[tex]\frac{465}{4}=n[/tex]
[tex]116.25=n[/tex]
Hope This Helps! :) Please Mark as Brainliest!
The sum of two numbers is eighteen. The total of three times the smaller and twice the
larger is 44. Set up and solve and algebraic equation to find the two numbers.
Answer:
x=8 y=10
Step-by-step explanation:
x+y =18 x=(18-y)
3(18-y) +2y =44
54-3y+2y =44
54-y =44
-y=-10
y=10
x+10=18
x=8
Mr. warren has a bag of nails assorted lengths. he asks his sons paul and tim to sort them by length. paul pours 3/4 of the bag of nails out and sorts them. he makes a chart showing the number of nails of each length.
later, Tim sorts the rest of the nails approximately how many 1-inch nails can tim expect to find in the rest of the nails? 100 pts
Answer:
Step-by-step explanation:
he has 1/4 remaining as he has only used 3/4
A small organic food store makes two types of fruit smoothies: tropical and sport. Each tropical smoothie uses 9 oz of orange juice and 6 oz of milk. Each sport smoothie uses 3 oz of orange juice and 3 oz of milk. The store buys the orange juice in a 210-oz container and milk in a 150-oz container. The store sells the tropical smoothies for $4 and sells the sport smoothie for $3. What is the maximum in smoothie sales the store can make from 1 container each of orange juice and milk?
A) $100
B) $110
C) $150
D) $280
Please show steps and explain
Answer: $150
the sports drink is only 25% smaller in the price compared to the tropical
but is 2-3 times fewer supplies than the low pretty convenient but the most you get from the tropical is $92
the most you can stink out of this sum is $150
Step-by-step explanation:
Answer:$150
Step-by-step explanation:
the sport drink is only 25% less in the price compared to the tropical...
but is 2-3 times less supplies than the tropical... pretty convenient but the most you get from the tropical is $92
the most you can suck out of this total is $150
MARK ME BRAINLEST
what value of w makes the following equation true?
w+4 1 over 5 = 13 19 over 20
Answer:
13.15
Step-by-step explanation:
Using the equation below, what is the
value of p when v = 7?
p = 6v + 21
Answer:
p = 63
Step-by-step explanation:
It is given that the variable v is equal to 7:
v = 7
Plug in 7 for v, and then solve the given equation:
p = 6v + 21
p = 6(7) + 21
Simplify. Remember to follow PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis, Exponents (& Roots), Multiplications, Divisions, Additions, Subtraction.
First, multiply 6 with 7:
p = (6 * 7) + 21
p = 42 + 21
Next, add:
p = 42 + 21
p = 63
63 is your answer for p.
~
Answer:
p = 63
Step-by-step explanation:
p = 6(v) = 21
add in 7 in place of v
p = 6(7) + 21
do 6(7)
p = 42 + 21
add those together
p = 63
Here you go! :)
Use the Distributive Property to expand 4(x+3)
Answer:
4x+12
Step-by-step explanation:
4(x+3)=4x+12.
You use the distributive property by multiplying both numbers in the parentheses by 4
Answer:
4x +12
Step-by-step explanation:
Distributive property: a*(b + c) = (a *b)+(a *c)
Here, a = 4 ; b = x and c = 3
4*(x + 3) = 4*x + 4*3
= 4x + 12