Answer:
9(7p) is the expression.
Step-by-step explanation:
Let's multiply 7p and 9 to get product,
→ 7p × 9
→ 9(7p)
So, the product is 9(7p).
A rectangular garden 50 m long by 34 m wide is surrounded by a sand path of uniform width. Calculate the width of this path if it is known that it has an area of 540 cm2.
Considering a width x of the sand path, we have a larger rectangle of dimensions 50+2x by 34+2x, as indicated in the figure. Now, the area of the sand path is expressed.
[tex]\boldsymbol{\sf{ (50+2x)(34+2x)-50\times 34=540\Longrightarrow\quad 0=4x^2+168x-540 }}[/tex]
[tex]\boldsymbol{\sf{ 0=4(x^2+42x-135)=4(x-3)(x+45) }}[/tex]
Therefore, the path is 3 m long.
can someone help i is confused
Answer:
The answer is c (the one outlined in blue)
Step-by-step explanation:
1. Angelo is wrong. Just start with the 1st one. 1+1.25 DOES NOT EQUAL 1.25
2. Try all the other ones, they don't work.
3. 1*1.25=1.25 (it works!) 2*1.25=2.50 (it works!) 3*1.25=3.75 (it works!)
Can Someone Help Solve This Inequality Asap!!! <3
Answer:
x> 7/3
Step-by-step explanation:
expand:
4x-2 >12-2x
4x>-2x+14
6x>14
x>14/6
x>7/3
I need help, please and thank you!
Answer:
6,251
Step-by-step explanation:
First you have to multiply 65 by 7 you will get 455
Then you have to multiply 144.9 by 40 you will get 5,796
At last add the two values:
5,796+455=6,251
Math question 10 points
Answer: (a)
Step-by-step explanation:
the last step is
clear x
X=15.9/6.36
the answer is 5/2 or 2.50
10. In a library, Jolly deaned and arranged 4599 books on the shelf. Gopal arranged 1945 less books than Jolly. How many books were arranged in all by Gopal?
Answer: 2654
Step-by-step explanation:
you take jolly's number 4599 and subtract Gopal's number of 1945
How to find the surface area of a rectangular prism
Answer:
A=2(wl+hl+hw)
Step-by-step explanation:
To find the surface area of a rectangular prism, measure the length, width, and height of the prism. Find the area of the top and bottom faces by multiplying the length and width of the prism. Then, calculate the area of the left and right faces by multiplying the width and height.
Please help I have no idea what I'm doing.
Answer:
Okay so your numbers are:
0, 2, 2, 4, 5, 1, 3, 4, 2, 4, 5, 0, 0, 1, 3, 4
You have to put them in order first:
0, 0, 0, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5
Now that its all in order you have to pull out the middle number.
Since there are 16 numbers its an even pile so you have to get the 2 middle numbers:
2, 3
Add them both together:
2 + 3 = 5
Then divide by 2:
5 ÷ 2
= 2.5
Step-by-step explanation:
Hope this helps!
From your neighborhood sofite.
Answer: Median is 78
Step-by-step explanation: What you have to do in this stem and leaf plot is for example 6|0 is 60, 9|4 is 94, etc. To find the median height, ignore the stem (the number by itself) and do the median how you usually do it. Sorry if its a bit complicated
Can someone solve this now please
Answer:
The answer is B.
Step-by-step explanation:
f(6) = 146 & g(6) = 731 /// The difference of the two is 585.
Find the sum of the first 8 terms of the following series, to the nearest integer 48,60,75
The series is a geometric series and the sum of the first 8 terms of the series 48, 60, 75 is 952.32
How to determine the sum of the first 8 terms?The series is given as:
48, 60, 75
The above series is a geometric series with the following parameters:
First term, a = 48
Common ratio, r = 1.25
The sum of n terms is:
[tex]S_n = \frac{a(r^n - 1)}{r -1}[/tex]
So, we have:
[tex]S_8 = \frac{48 * (1.25^8 - 1)}{1.25 -1}[/tex]
Evaluate
[tex]S_8 = 952.32[/tex]
Hence, the sum of the first 8 terms of the series is 952.32
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i need help pls asap
If you take a true-false quiz with 20 questions and totally guess on every
problem, find the probability that you would pass the quiz, that is, getting 60%
right
Answer: 1/4.
Step-by-step explanation: Too pass you need to get a least 13 right.
A group of 3 people are sharing chocolates. Each person wants 8 chocolates and each box has 6 chocolates. How many boxes do they need?
Answer:
Step-by-step explanation:
4 boxes should do
if 39 is 5% of a number, what is that number? How did you get your answer?
Answer:
780
Step-by-step explanation:
☞ To find the solution, divide 39 by 5% and multiply by 10
P = 39 * 5%(0.5) = 78
P = 78 * 10 = 780
Which is NOT a solution
of the inequality
9 - 3x ≥ -36 ?
A. 0
B. -22
C. 50
D. 11
This table gives information about the colors and engine types of motorcycles sold at a showroom in a month.
150 cc 180 cc
Black 18 24
Blue 15 17
Red 26 21
Identify the tables that represent the relative frequencies of this data either by row or by column. Round your answers to the nearest hundredth
The relative frequencies of this data by row is
150 cc 180 cc
Black 0.43 0.57
Blue 0.47 0.53
Red 0.55 0.45
How to determine the relative frequency table?The table of values is given as:
150 cc 180 cc
Black 18 24
Blue 15 17
Red 26 21
Calculate the row total.
150 cc 180 cc Total
Black 18 24 42
Blue 15 17 32
Red 26 21 47
Divide each element by the row total
150 cc 180 cc
Black 0.43 0.57
Blue 0.47 0.53
Red 0.55 0.45
Hence, the relative frequencies of this data by row is
150 cc 180 cc
Black 0.43 0.57
Blue 0.47 0.53
Red 0.55 0.45
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a
a
1) Jimmy invests $8,540 in a retirement
account with a fixed annual interest rate of
6.03% compounded continuously. What
will the account balance be after 14 years?
A) $16,422.64 B) $19,865.03
C) $18,522.03 D) $17,525.57
Answer:
B) $19,865.03
Step-by-step explanation:
Continuous Compounding Formula
[tex]\large \text{$ \sf A=Pe^{rt} $}[/tex]
where:
A = Final amountP = Principal amountr = annual interest rate (in decimal form)t = time (in years)Given:
P = $8,540r = 6.03% = 0.0603t = 14 yearsSubstituting given values into the formula and solving for A:
[tex]\large \implies \text{$ \sf 8540e^{0.0603 \times 14}=19865.03215 $}[/tex]
can someone help me with this? Thank you!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: c = 2\pi r[/tex]
r = 4 cm[tex]\qquad \sf \dashrightarrow \: c = 2 \times 3.14 \times 4[/tex]
[tex]\qquad \sf \dashrightarrow \: c = 25.12 \: cm[/tex]
The circumference of the given circle.
Solution:[tex]c = 2 {\pi}r[/tex]
[tex]c = 2 \times 3.14 \times r[/tex]
[tex]c = 2 \times 3.14 \times 4[/tex]
[tex]c = 25.12 \: cm[/tex]
Hence, the circumference of the given circle is 25.12 centimeters.
The box plot below represents the lengths, in inches, of fish a group of friends caught.
What is the interquartile range of the data?
Answer:
3.5Step-by-step explanation:
According to the box plot we have
Q1 = the 25% mark of data = 4.5 and Q3 = the 75% mark of data = 8The IQR is the difference of the two numbers above
IQR = Q3 - Q1 = 8 - 4.5 = 3.5Answer:
IQR = 3.5
Step-by-step explanation:
Explanation of the given box plot:
The closed circles at either end are the minimum and maximum The middle vertical line of the box is the medianThe left side of the box is the first quartileThe right side of the box is the third quartileTherefore, the Five-number summary of the given box plot is:
Minimum = 3First quartile (Q₁) = 4.5Median (Q₂) = 6Third quartile (Q₃) = 8Maximum = 13[tex]\begin{aligned}\textsf{Interquartile range (IQR)} & = \sf Q_3-Q_1\\& = \sf 8 - 4.5\\&= \sf 3.5\end{aligned}[/tex]
does someone mind helping me with this question? Thank you!
Answer:
114 sq ft
Step-by-step explanation:
Find out the area of the end triangle;
2x3=6
6x0.5 (1/2) = 12
Find the perimeter of the end triangle;
3+3+3=9
Find the area of the rectangle;
9x10=90
Find the total surface area;
2x12=24
24+90=114 sq ft
Answer:
3
Step-by-step explanation:
the surface area is the base
you will know what the base is based on the name
since it's a triangular prism, the base is a triangle
the triangle in the picture is 2 in hight and and 3 on the ground
2 x 3/2
6/2
3
Tanvi opened a savings account and deposited $400.00 as principal. the account earns 13%
interest, compounded annually. what is the balance after 7 years?
p(1+)",
use the formula a = p 1 + where a is the balance (final amount), p is the principal
(starting amount), r is the interest rate expressed
as a decimal, n is the number of times per
year that the interest is compounded, and t is the time in years.
round your answer to the nearest cent.
The amount of the money after 7 years with a rate of 13% with an initial amount of $400 will be $ 941.04.
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
Tanvi opened a savings account and deposited $400.00 as principal.
The account earns 13% interest, compounded annually.
Then the balance after 7 years will be
We know the compound interest formula.
A = P (1 + r)ⁿ
We have
P = $ 400
r = 13%
n = 7 years
Then we have
A = 400 x (1 + 0.13)⁷
A = 400 x 1.13⁷
A = 400 x 2.3526
A = $ 941.04
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Can somebody help please and thank you!!
Answer:
(3x+12)+X=180
Step-by-step explanation:
Supplementary angles always equal 180
Answer:
C. (3x + 12) + x = 180 is the correct answer.
Step-by-step explanation:
The angle of any straight line is 180*, and since thats a sraight line, then the acute angle (x) plus the obtise angle (3x + 12) must equal 180*.
Hope this helps!
Also x = 42* for reference.
Is the sequence arithmetic? If so, identify the common difference.
11, 15, 19, 23, ...
Answer:
Yes, the common difference is 4
Step-by-step explanation:
In an arithmetic sequence, you are either adding or subtracting the same number. In this case, you are adding 4 each time. 11+4=15 15+4=19 19+4=23
What is the value of the expression shown? (1 point)
4 x (2 + 4)
Group of answer choices
12
24
32
48
Answer:
24
Step-by-step explanation:
first you have to add 2 and 4; 6. then multiply it by 4; 24
Determine the equation of the circle graphed below.
The standard equation of the circle in the graph is (x - 2)² + (y - 5)² = 16
How to determine the standard equation?From the graph, we have the following parameters:
Center (a,b) = (2,5)Radius, r = 4The equation of the circle is then calculated using:
(x - a)² + (y - b)² = r²
So, we have:
(x - 2)² + (y - 5)² = 4²
Evaluate
(x - 2)² + (y - 5)² = 16
Hence, the standard equation of the circle in the graph is (x - 2)² + (y - 5)² = 16
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Find the area of a circle with radius, r = 76cm.
Give your answer rounded to 3 SF.
Answer:
17,700.00
Step-by-step explanation:
Area of a circle = 22
------ r2
7
=22
------ 76x76 =123,750
7 ---------- =1,768.571
7
1,768.571 rounded to 3 SF=17700.00
A choir director collected data about the number of members in the choir for the last 20 years. The mean number of choir members is 52.68 with a standard deviation of 2.35. This year. The choir has 46 members. The choir director wants to find and interpret the z-score for 46 choir members.
Complete the statements about the z-score and its interpretation.
The z-score for 46 choir members is about , which means that the number of choir members this year is standard deviations the mean number of choir members. Therefore, there are choir members this year than the average.
Answer:
members is about
✔ –2.843
, which means that the number of choir members this year is
✔ 2.843
standard deviations
✔ below
the mean number of choir members. Therefore, there are
✔ fewer
choir members this year than
Step-by-step explanation:
Answer:
The z-score for 46 choir members is about
✔ –2.843
, which means that the number of choir members this year is
✔ 2.843
standard deviations
✔ below
the mean number of choir members. Therefore, there are
✔ fewer
choir members this year than the average.
Step-by-step explanation:
edge 2023
Angles A and B are supplementary. If the measure of A= x-10 and the measure of B = x + 4, find the measure of each angle.
Answer:
10x - 15 + 5x = 180
Step-by-step explanation:
Solve for x
Show all work necessary to solve each problem.
1. Solve the following equation step by step. Write a reason for each step-
2(x-18)+ 3x = 24
Answer:
x = 12
Step-by-step explanation:
2(x-18)+ 3x = 24
distribute the 2
2x - 36 + 3x = 24
combine like terms
5x - 36 = 24
+ 36 on both sides
5x = 60
divide by 5
x = 12
Answer answer please please
Answer:
The answer is B) <
Step-by-step explanation:
Just looking at the Base 10 to the power of -5. we can just ignore it since they both have the base.
Now compare 3.2 with 4.6 which one is greater than or less than or equal to.
3.2 < 4.6
Answer: the answer is b . The second choice is correct .
Step-by-step explanation:
the second one is bigger than the fist one . Hopeit helps you .Please give brainliest .thanks .
