A farmer recently sold a large plot of land. The sale decreased his total acreage by 10%.
Lett be the original acreage. Find two equivalent expressions that will give the new acreage.
Answer: t - 0.1t and 0.9t
Step-by-step explanation:
Let the original acreage be represented by t.
Since there was a sale which ended up reducing the acreage by 10%, the expression for the new acreage will be:
= t - (10% × t)
= t - (0.1 × t)
= t - 0.1t
= 0.9t
Therefore, the equivalent expressions will be "t - 0.1t" and 0.9t
HELP PLEASE PLEASE PLEASE
Can you help me with this if you’re a smart person
Stefan sells Jin a bicycle for 135 and a helmet and a helmet for 19 the total cost for Jin is 140% of Stefan spent originally to buy the bike and helmet how much did Stefan spend originally how much money did he make by selling the bicycle and helmet to Jin
Answer:
Originally Stefan spent $ 110, and made $ 30 selling the bike and helmet to Jin.
Step-by-step explanation:
Given that Stefan sells Jin a bicycle for $ 135 and a helmet for $ 19, and the total cost for Jin is 140% of what Stefan spent originally to buy the bike and helmet, to determine how much did Stefan spend originally and how much money did he make by selling the bicycle and helmet to Jin, the following calculation must be performed:
100 + 140 = 240
140 = 135 + 19
100 = X
(100 x (135 + 19)) / 140 = X
100 x 154/140 = X
15,400 / 140 = X
110 = X
So originally Stefan spent $ 110, and made $ 30 selling the bike and helmet to Jin.
Consider the inequality x > −1.5.
Determine a value of x makes this inequality true.
Step-by-step explanation:
all intiger which is greater than-1.5
Determine if the following statements are true or false. If true give a reason or cite a theorem and if false, give a counter example.
a. If {a _n} is bounded, then it converges.
b. If {a _n} is not bounded, then it diverges.
c. If {a _n} diverges, then it is not bounded
Give an example of divergent sequences {a _n} and {b _n} such that {a _n + b _n} converges
Answer:
a. False the series [tex]\sum\limits_{i=1}^\infty (-1)^n[/tex]is bounded but does not converge
b. False, xₙ = n + (-1)ⁿ⁻¹(n - 1) does not diverge to infinity but it is not bounded for n ≥ 1
c. False some bounded sequences are divergent
An example of divergent sequences, aₙ, and bₙ, such that aₙ + bₙ converges is [tex]a_n = \sum\limits_{n} \dfrac{1}{n} , \, b_n = \sum\limits_{n} \dfrac{-1}{n}[/tex]
[tex]\sum\limits_{n} \dfrac{1}{n} + \sum\limits_{n} \dfrac{-1}{n}[/tex] is convergent
Step-by-step explanation:
Which of the following examples has a unit rate of 70 miles per hour? Select all
that apply.
A) 210 miles in 3 hours
B) 420 miles in 6 hours
C) 280 miles in 5 hours
D) 560 miles in 8 hours
E) 560 miles in 7 hours
Answer:
A, B and D are the answers.
Answer:
A, B, D.
Step-by-step explanation:
1) The diameter of a circle is 7.5. Find the circumference to the nearest
tenth. Show all work *
Your answer
Answer:
Step-by-step explanation:circumference = pi x diameter.
Using 3.14 for pi
Circumference = 3.14 x 7.5 = 23.55
Rounded to the nearest tenth = 23.6
The circumference of the circle with a diameter of 7.5 is, C = 23.6
Used the concept of the circumference of the circle that states,
The circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. The formula used to calculate the circumference of the circle with radius 'r' is,
C = 2πr
Given that,
The diameter of a circle is 7.5.
Hence, The radius of a circle is,
7.5/2 = 3.75
So, The circumference of the circle with a radius of 3.75 is,
C = 2 × 3.14 × 3.75
C = 23.55
Rounded to the nearest tenth,
C = 23.6
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Create a model to show that 2(2x + 3y) = 4x + 6y
Pls
Answer:
0=0
Step-by-step explanation:
2(2x + 3y)=4x+6y
4x+6y=4x+6y
4x+6y-6y=4x+6y-6y
4x=4x
4x-4x=4x-4x
0=0
True for all
please please help me figure this out!!
Answer:
154
Step-by-step explanation:
180-26= 154
Supplementary angles equal 180
x2-12x-3=10 please help
Answer:
x= 13, -1
Step-by-step explanation:
what is the H.C.F of 2³×3²
Find the median
1, 3, 5, 7, 8, 10
--------------------------------------
Find the median
12, 15, 15, 16, 17, 19, 20
Answer:
on which one
Step-by-step explanation:
Answer:
5 and 16
Step-by-step explanation:
Gustavo also went to the same store and has a 30% off
coupon. He bought a hoodie and saved $8.10 after
using the coupon. What is the original price of the
hoodie?
Answer:
Original Price was $27.00
Step-by-step explanation:
27*.30=8.10
a copy machine prints 10 copies per 1/4 at what rate in copies per minute does the copy machine print?
Which of the following figures shows a 1/4 -turn in the clockwise direction?
Find the slope of the line 8x-2y=11
assistance with trying to figure out how to solve this question.
Answer:
137.24 mm²
Step-by-step explanation:
Big square = 9x9=81
Small rectangle at bottom = 2x3=6
Quarter Circle = 1/4(3.14)(8)(8)=50.24
81+6+50.24=137.24
Jessie started a record collection with 8 records. Each week he added 3 records to his collection. Riley started her record collection with 23 records. Each week she gave away 2 records.
a) Write an equation to represent the number of records in Jessie's collection based on the number of weeks he has been collecting records.
3 per week + blank=8 Step-by-step explanation: brainly plz
How many lemons are needed to fill 375 ml bottle of lemon juice if 2 large lemons fill 100ml
Answer:
Answer:
7 and half
Explanation:
cuz if the two lemin fill two then one will fill 50ml ,
then,7×50=350 the remaining is 25 ml which is half of 50 ml so this is half of one lemon.so the answer is 7 and half
Answer:
7 and a half
Step-by-step explanation:
2 lemons=100 ml
?=375 ml
Cross multiplication to get ? which will bring
(375×2)÷ 100 giving 7 ½
Greg feeds his dog 2/3 pounds of dog food for each meal. Greg has just bought 18 pounds of dog food. For how many meals will the food last? Write your answer in simplest form
Number 3 answered please
Answer:
Step-by-step explanation:
n=3p, d=p-2
10d+5n+p=110 using n and d from above makes this become
10(p-2)+5(3p)+p=110
10p-20+15p+p=110
26p-20=110
26p=130
p=5
n=3p=3(5)=15
d=p-2=5-2=3
So she has 3 dimes, 15 nickels, and 5 pennies.
please show all work i’ll mark brainliest
Answer:
Step-by-step explanation:
Draw a picture to see that the radius must be 7.
Fran’s snowmobile weighs 0.8 ton. The weight of the snowmobile is
pounds
Answer: 0.8 ------ 1,600
Step-by-step explanation:
(2x -3) + (4c + 20) i need help
Answer:
=2x+4c+17
Step-by-step explanation:
(2x-3)+(4c+20)
=2x-3+4c+20
=2x+4c-3+20
=2x+4c+17
Which of the lists of letters all have rotational symmetry?
C,H, N, X
N.O.S. Z
H.J.N.S
F.H. X. Z
Answer:
N, O, S, Z, which will be B
Step-by-step explanation:
Paula made this model to show the sum of two mixed numbers. Write the addition equation shown by the model and solve it.
You can write out the fraction names or use the forward slash (/) on your keyboard to represent the fraction bars.
A number line from zero to one partitioned into thirds. There is a gray rectangle above the number line stretching from zero to three and two thirds. To the right is a darker gray rectangle above the number line stretching from three and two thirds to six and one third.
Your answer:
Answer:
[tex]3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}[/tex]
Step-by-step explanation:
Given
See attachment for number line
Required
Determine the model
From the attachment, we can see that each partition is 1/3
The gray rectangle covers 11 partitions.
So:
[tex]Gray = 11 * \frac{1}{3}[/tex]
[tex]Gray = \frac{11}{3}[/tex]
Express as a mixed number
[tex]Gray = 3\frac{2}{3}[/tex]
The black rectangle covers 8 partitions
So:
[tex]Black= 8 * \frac{1}{3}[/tex]
[tex]Black= \frac{8}{3}[/tex]
Express as a mixed number
[tex]Black= 2\frac{2}{3}[/tex]
So, the model is:
[tex]Gray + Black = Total[/tex]
Where Total is the point where the black rectangle stops
[tex]3\frac{2}{3} + 2\frac{2}{3} = 6\frac{1}{3}[/tex]
jacob works part time as a cashier at a drugstore. his gross pay for the year was $8000. Based on his income level, the federal tax rate he’ll need to pay is 10%. For his state taxes, Jacob will need to pay 5% and the FICA rate is 7.65%. What is jacobs net pay for the year?
A) 1,812
B) 6,988
C) 6,188
D) 7,200
The answer will be option B. The net pay for the jacob will be equal to $6,188.
What is gross pay?The amount paid by any company to the employees without any deductions like taxes or charges is called as the gross pay.
It is given that:-
Gross pay for the year was $8000
The federal tax rate he’ll need to pay is 10%.
Jacob will need to pay 5% and the FICA rate is 7.65%
So the total deductions from the gross pay will be calculated as:-
Deductions = 8000 X 10% +8000 x 5% +8000 x 7.5%
Deductions = 800+400+612=$1812
The net pay will be = 8000-1812 =$ 6188
Hence the net pay for the jacob will be equal to $6,188.
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What is the center and radius of the circle with the given equation x^2 + y^2 + 14x - 12y +69 = 0
Answer:
Center is (7,-6)
Our radius is 4
Step-by-step explanation:
Subtract 69 to both sides
Complete the square of the x terms and y terms.
[tex] {x}^{2} + 14x[/tex]
[tex] {y}^{2} - 12y[/tex]
(To complete the square divide the coefficient by 2 and square it).
[tex] (\frac{14}{2} ) {}^{2} = 49[/tex]
[tex]( \frac{ - 12}{2} ) {}^{2} = 36[/tex]
Add those terms to the full equation. Add 36 and 49 to the right side as well
[tex] {x}^{2} + 14x + 49 + {y}^{2} - 12y + 36 = 16[/tex]
Simplify the x and y terms into a binomial.
[tex](x + 7) {}^{2} + (y - 6) {}^{2} = 16[/tex]
Set the left side equal to zero separately to find the center and take the square root of the right side to find the radius.
[tex]x + 7 = 0[/tex]
[tex]x = - 7[/tex]
[tex]y - 6 = 0[/tex]
[tex]y = 6[/tex]
[tex]16 = {x}^{2} [/tex]
[tex]4 = x[/tex]
So our center is (-7,6)
Our radius is 4.
4x + y=7
2x - 7y=1
If (x,y) is the solution to the given system of equations, what is the Value of X?
Answer:
[tex]x = \frac{5}{3} [/tex]