Answer:
Her monthly income is Rs. 21000
Step-by-step explanation:
15000 x ( 1 + 40 % )
= 15000 x 140 %
= 21000
Find the midpoint M of the two sets of points
x(9,5) Y(-2, 3)
Answer:
(3.5,4)
Step-by-step explanation:
add and divide by 2
(7,8)
(3.5,4)
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alan walked 5 miles in 2 hours. how far did he walk in kilometers per minute
Answer:
Walking speeds vary depending on age, and health of walkers. However, an average comfortable walking speed is about 5 km per hour and 9km per hour can be achieved by many people. This means that in 30 minutes it should be possible to easily walk 2.5km and in 2 hours it should be possible to walk 10km.
Answer:
0.07929 km/min
Step-by-step explanation:
1 miles is 1.903 km
5 miles is 9.515 km in 2 hours
9.515 /2 = 4.7575 km/h
Then divide th speed value by 60
4.7575 / 60 = 0.07929
A cake at a child's birthday party is cut into 12 even pieces. Seven pieces are served to the children and each child eats half of a piece. How much cake was eaten?
find the measure of angle of ABF
Answer: m∠ABF = 120°
Concept:
Here, we need to know the idea of the corresponding angle theorem and linear pair postulate.
The corresponding angle theorem states that if a transversal cuts two parallel lines, their corresponding angles are congruent.
The linear pair postulate states that two angles that form a linear pair are supplementary.
Solve:
Given information
m∠ABF = m∠ABF = 2x + 3x
According to the corresponding angle theorem, ∠ABF is congruent to ∠BCI which is 2x + 4x.m∠BCH = 3x
Total angle = 180°
∠ABF and ∠BCH are linear pairs which means they form a supplementary angle.Given equation
m∠ABF + m∠BCH = Total Angle
Substitute values into the equation
2x + 4x + 3x = 180
Combine like terms
9x = 180
Divide 9 on both sides
9x / 9 = 180 / 9
x = 20
m∠ABF = 2x + 4x = 2 (20) + 4 (20) = 40 + 80 = 120°
Hope this helps!! :)
Please let me know if you have any questions
6) Split the following into a given ratio:
a) 72 into 1:3:5:
b) 150 into 2:3:
000029
Hub
(a)
Given:
72 to be split into 1:3:5
Solution:
First divide the amount with the sum of the ratio given
72 / 1 + 3 + 5 = 72 / 9 = 8
Now multiply the answer with each value:-
8 × 1 = 8
8 × 3 = 24
8 × 5 = 40
∴ The ratio will be 8:24:40
{To check your answer add to get the exact value: 8 + 24 + 40 = 72}
(b)
Given:
150 to be split into 2:3
Solution:
First divide the amount with the sum of the ratio given
150 / 2 + 3 = 150 / 5 = 30
Now multiply the answer with each value:-
30 × 2 = 60
30 × 3 = 90
∴ The ratio will be 60:90
{Now check your answer in the same way above: 60 + 90 = 150}
What is 3 divided by 2? It’s mandatory for you to show your work, you may have a terminal answer.
PLEASE HELPPP
Answer: 3/2= 1.5
Step-by-step explanation: To double check just multiply 1.5 by 2, hope this helped :))
Help!! Truth table.
Thank you.
Answer:
these statements are not logically equivalent.
Step-by-step explanation:
steps are in picture.
If you have any question about it you can ask freely.
Find the value of x if 3(4x+3)
What the answer I don’t get Mary at all
Answer:
1
Step-by-step explanation:
By order of operations, we first evaluate the parentheses, which is 2 * 1 = 2. We then evaluate the brackets, which are 3 / 2 = [tex]\frac{3}{2}[/tex]. Finally, [tex]\frac{3}{2}[/tex] * [tex]\frac{2}{3}[/tex] = [tex]\frac{6}{6}[/tex] or 1.
Find f(-2) for f(x)=3x^2-8x+7
Answer:
f(-2) = 35
Step-by-step explanation:
Let x = -2.
[tex]3(-2)^2-8(-2)+7\\\\12+16+7\\\\35[/tex]
put the bracket in the correct place
10-3x4-2+1=5
Answer:
10-(3×4)-2+1=5
10-12-3=5
10-15=5
10=5+15
10=20
20-10
10
Answer:
[10 - 3 × (4-2)] +1= 5
.......
Let U= {1,2,3,4,5,6,7,8,9,10}, A={2,4,6,8} B={1,2,3,4}, C={5,6,9}
Hello! i need help with these questions
Answer: 13. is c, 14. is yes and 15 is no
Step-by-step explanation: Try your best and you might succeed
H E L P
Evaluate the expression if x = 7 and y = 12
5x - y
[tex]\\ \rm\longmapsto 5x-y[/tex]
x=7y=12[tex]\\ \rm\longmapsto 5(7)-12[/tex]
[tex]\\ \rm\longmapsto 35-12[/tex]
[tex]\\ \rm\longmapsto 23[/tex]
Answer:
[tex]5x - y \\ x = 7 \\ y = 12 \\ then \: 5x - y = 5 \times 7 - 12 \\ = 35 - 12 \\ = 23 \\ thank \: you[/tex]
Solve the inequality and enter your solution as an inequality in the box below,
using "<=" for sor">=' for if necessary.
-2(5x + 1) > 48
Answer:
x < -5
Step-by-step explanation:
-2(5x+1) >48
-10x-2 > 48
-10x-2+2 > 48+2
-10x > 50
p.s : when dividing by a negative number with inequalities, change the sign, i.e. < would then be >....
therefore:
x < -5
Mr. and Mrs. Samson are planning to build a fence around their garden. They are comparing the different measurements for their plans.
Plan A:
1.Posts are 4 ¼ feet in length
2. Post must be installed 7/8 feet below ground level.
Plan B:
1. Posts are 6 ¾ feet in length.
2. Posts must be installed 1 ½ feet below ground level.
1.What will be the height of the fence in plan A?
2. What will be the height of the fence in plan B?
3. Which fence will be taller and by how much?
4. Which plan would you recommend and why?
5. Mr. And Mrs. Samson decide to go with plan A and purchase the materials. Their total bill is $356.88. If they pay $220 in cash and charge the remainder, how much did they charge?
The relationship between the heights of the fence, the lengths, the distance below the ground level is an illustration of addition and subtraction.
The height of the fence is [tex]3\frac 38[/tex] in plan A and [tex]4\frac 34[/tex] in plan BThe fence in plan B is taller by [tex]2\frac{3}{4}[/tex] feet.The fence in plan B is recommended because: It is taller than the fence in plan A, and it goes below the ground level than plan AThey charge $136.88Plan A
[tex]Length = 4\frac 14[/tex]
[tex]Ground\ Level = \frac 78[/tex]
Plan B
[tex]Length = 6\frac 34[/tex]
[tex]Ground\ Level = 1\frac 12[/tex]
The height of the fence is calculated by subtracting the length below ground level from the length of the fence. So, we have:
[tex]Plan\ A = 4\frac 14 - \frac 78[/tex] [tex]Plan\ B = 6\frac 34 - 1\frac 12[/tex]
[tex]Plan\ A = \frac{17}{4} - \frac 78[/tex] [tex]Plan\ B = \frac{25}{4} - \frac 32[/tex]
Take LCM
[tex]Plan\ A = \frac{17\times 2 - 7}{8}[/tex] [tex]Plan\ B = \frac{25 - 3\times 2}{4}[/tex]
[tex]Plan\ A = \frac{34 - 7}{8}[/tex] [tex]Plan\ B = \frac{25-6}{4}[/tex]
[tex]Plan\ A = \frac{27}{8}[/tex] [tex]Plan\ B = \frac{19}{4}[/tex]
[tex]Plan\ A = 3\frac{3}{8}[/tex] [tex]Plan\ B = 4\frac{3}{4}[/tex]
Hence, the height of fence is [tex]3\frac 38[/tex] in plan A and [tex]4\frac 34[/tex] in plan B
The fence in plan B is taller because [tex]4\frac 34[/tex] is greater than [tex]3\frac 38[/tex]
The difference (d) in the heights is:
[tex]d = 4\frac 34 - 3\frac 38[/tex]
[tex]d = \frac{19}{4} - \frac{27}{8}[/tex]
Take LCM
[tex]d = \frac{19 \times 2 - 27}{4}[/tex]
[tex]d = \frac{38 - 27}{4}[/tex]
[tex]d = \frac{11}{4}[/tex]
[tex]d = 2\frac{3}{4}[/tex]
Fence in plan B is taller by [tex]2\frac{3}{4}[/tex] feet.
I will recommend the fence in plan B because:
It is taller than the fence in plan AIt goes below the ground level than plan AFor (5), we have:
[tex]Total = \$356.88[/tex]
[tex]Cash = \$220[/tex]
The remainder is the difference in the total amount and the amount they paid:
[tex]Charge = Total - Cash[/tex]
[tex]Charge = \$356.88 - \$220[/tex]
[tex]Charge = \$136.88[/tex]
Hence, they charge $136.88
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982,510 books were downloaded in one year. Round this number to the nearest hundred thousand to estimate how many books were downloaded in one year. Use a numberline to show your work
Answer:
1,000,000.
Step-by-step explanation:
You are rounding to the nearest hundred thousand place value, which will be underlined and bolded:
982,510
Note that when you round, you look at the digit directly next to the place value you are solving for. Note:
If the value of the digit is 5 or greater, round up.
If the value of the digit is 4 or less, round down.
In this case, the value directly next to the place value is the ten thousands place, which has the value of 8. Because 8 is greater than 5, you will round up.
982510 rounded to the nearest hundred thousand is 1,000,000.
~
For the numberline, simply plot the points on both end of the spectrum, with 0 being on the left and x value on the right. Plot 1,000,000 corresponding to the value given on the right.
~
A pattern has 3 blue triangles to every 24
yellow triangles. What is the ratio of blue
triangles to all triangles?
Answer:
It is 3 : 27
Step-by-step explanation:
Ratio of blue to yellow = 3:24
[tex]{ \sf{total \: ratio = 24 + 3 = 27}}[/tex]
ratio of blue to all triangles:
[tex] = 3 : 27[/tex]
(2.5*10^3)*3.4*10^2 (in scientific notation)
Answer:
8.5×10⁵Step-by-step explanation:
2.5×10³ × 3.4×10² = (2.5×3.4) × 10³⁺² = 8.5×10⁵[tex]\\ \rm\longmapsto 2.5\times 10^3\times 3.4\times 10^2[/tex]
[tex]\boxed{\sf a^m\times a^n=a^{m+n}}[/tex]
[tex]\\ \rm\longmapsto 2.5\times 3.4\times 10^3\times 10^2[/tex]
[tex]\\ \rm\longmapsto 8.5\times 10^{3+2}[/tex]
[tex]\\ \rm\longmapsto 8.5\times 10^5[/tex]
x^2+6x+5-4y-y^2 factorize
Answer:
(x+y+5)(x-y+1)
Step-by-step explanation:
factor by grouping
x^2+6x+5-4y-y^2
x^2+6x+9 - (y^2+4t+4) + 5-9+4
(x+3)^2 - (y+2)^2
(x+3+(y+2))(x+3-(y+2))
(x+y+5)(x-y+1)
The mean useful life of car batteries is 55 months. They have a standard deviation of 2. Assume the useful life of batteries is normally distributed. a. Calculate the percent of batteries with a useful life of less than 51 months. (Round your answer to the nearest hundredth percent.) b. Calculate the percent of batteries that will last longer than 61 months. (Round your answer to the nearest hundredth percent.) a. Percent of batteries % b. Percent of batteries %
Answer: a. 0.13% b. 2.28%
Step-by-step explanation:
Let x denotes the useful life of batteries.
Given: months,
Since X is normally distributed.
The probability that batteries with a useful life of less than 38 months
The percent of batteries with a useful life of less than 38 months =0.13%
The probability that batteries will last longer than 68 months
The percent of batteries that will last longer than 68 months =2.28%
Step-by-step explanation:
Yossi used to have a square garage with 354 ft² of floor space. He recently built an addition to it. The garage is still a square, but now it has 50% more floor space. What was the length of one side of the garage originally? What is the length of one side of the garage now? What was the percent increase in the length of one side?
100000-76585 full formula
Answer:
Bro it is simple the answer is 23415
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Help I need an equation and an answer
39. Ashton and James are the same height. If Ashton's height is represented by (6 + 15x) and ames' height is represented by (6x + 42), find the value of x.
Answer:
x = 4
Step-by-step explanation:
Start by setting the two expressions equal to each other, since they're the same height.
6 + 15x = 6x + 42
Subtract 6x from both sides
6 + 9x = 42
Subtract 6 from both sides
9x = 36
Divide both sides by 9
x = 4
An equation is formed of two equal expressions. The value of x is 4.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that the height of Ashton and James are the same height. Also, Ashton's height is represented by (6 + 15x) and James's height is represented by (6x + 42). Therefore, we can write,
Ashton's height = James' height
6 + 15x = 6x + 42
6 + 15x = 6x + 42
15x - 6x = 42 - 6
9x = 36
x = 36/9
x = 4
Hence, the value of x is 4.
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What is the remainder of f(x)=x^3+x^2-9x+23 When divided by binomial X +4
Answer:
The remainder is 11.
Step-by-step explanation:
We are given the polynomial:
[tex]f(x) = x^3 + x^2 - 9x + 23[/tex]
And we want to find its remainder when the polynomial is divided by:
[tex]x + 4[/tex]
We can use the Polynomial Remainder Theorem. According to the PRT, if we divide a polynomial P(x) by a binomial in the form (x - a), the remainder will be given by P(a).
In this case, our binomial is (x + 4) or (x - (-4)). Hence, a = -4.
Then the remainder will be f(-4):
[tex]\displaystyle \begin{aligned}f(-4) &= (-4)^3 + (-4)^2 - 9(-4) + 23 \\ &= 11 \end{aligned}[/tex]
In conclusion, the remainder of the operation is 11.
write and solve an equation to find the value of X. please explain in details and show your work!
Answer:175 degrees
Step-by-step explanation: The shape isn't properly drawn.But,I assumed it is a five sided polygon because of the fifth ange
What is the probability that a normal random variable with mean 6 and standard deviation
3 will fall between 5.7 and 7.5
Answer:
z-score=7.5-6 1.5
___________=______=0.5
3 3
Step-by-step explanation:
Look up -0.1 on a z-table. The result is 0.4602. The means there is a 0.4602 probability the random variable will be below 5.7.
The find the probability the random variable will be between 7.5 and 5.7, simply subtract the two probabilities we found (above) from one another:
0.6915+-+0.4602+=+0.2313
So, there is a 0.2313 probability the random variable will fall between 7.5+and 5.7.
Please Help! I am so confused. I will give you the brainiest and a lot of points.
Please show work
(23) 7×10¹ + 3×1 = 70 + 3 = 73
(25) 3×10² + 8×10¹ + 5×1 = 300 + 80 + 5 = 385
(27) 5×10⁵ + 2×10⁴ + 8×10³ + 7×10² + 4×10¹ + 3×1 = 500000 + 20000 + 8000 + 700 + 40 + 3 = 528743
It should be quite clear what you have to do from here, I think.
(29) 7002
(31) 600002007
how many inches is in 140 feet?
Hey there!
The formula for feet to inches is to simply multiply the length value by 12.
So, multiply 140 by 12.
I believe your answer would be 1680 inches.
Hope this helps!
Have a great day!
Answer:
140 feet is 1680 inches. Don't forget to put your units in; your teacher may dock off points for forgetting to put in the unit.
Step-by-step explanation:
A foot is 12 inches, so you must multiply 140 by 12.
[tex]140\times12=1680[/tex]
What is the distance in meters of an object that has an angular diameter of 30 arcseconds and a linear diameter of 10 cm
We have that the distance in meters of the object is
[tex]d=687.55m[/tex]
From the Question we are told that
Angular diameter [tex]d_a= 30 arcseconds[/tex]
Linear diameter [tex]d_l= 10 cm=0.10m[/tex]
Generally the equation for Linear diameter is mathematically given as
[tex]d_l=\frac{d_a*d}{206265}[/tex]
Therefore
[tex]d=\frac{0.10m*206265}{30}[/tex]
[tex]d=687.55m[/tex]
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Identify the pattern for the following sequence. Find the next three terms in the sequence.
-15, -11, -7, -3,
a. Subtract 4; -7, -11, -15
b. Add 4, 2, 6, 10
C. Subtract 4, 1, 5, 9
d. Add 4; 1, 5, 9
Please select the best answer from the choices provided
Answer:
b. Add 4, 2, 6, 10
Step-by-step explanation: