The area of the rectangular field is 468cm².
Step-by-step explanation:
If, length is 18cm; width is unknown( let x represent width). Then,
Perimeter of a rectangle= Length + Width+ Length + Width
88= 18 + x + 18 + x
88= 36 + 2x
88-36 =2x
52= 2x
52/2=2x/2
26=x
•x=26cm
The width of the rectangle is 26cm.
Area of a rectangle= Length × Width
=18cm×26cm
= 468cm².
PLEASE IF ANYONE CAN HELP JUST ANSWERS 1-8 (giving brainliset)
The computation of the equations is illustrated below.
How to illustrate the equation?a. x - y = 1 .... i
x + y = -9 ..... ii
Subtract the equations
-2y = 10
y = 10/-2 = -5
Since x - y = 1
x - (-5) = 1
x + 5 = 1
x = 1 - 5 = -4
b. 3x + 2y = -9
x - y = -13
Multiply equation i by 1
Multiply equation ii by 3
3x + 2y = -9
- 3x - 3y = -39
5y = 30
y = 6
Since x - y = 13
x - 6 = 13
x = 13 + 6 = 19
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look at the pictures
Factorize and get the value of x and then substitute into any of the equation to get the solution in coordinate form (x, y)
Inequality functionsFor us to determine if a set of inequality function has a solution, we will equate the functions and determine the point of intersection if there are any,
Given the inequalities
y ≤ x^2 - 3
y > -x^2 + 2
Equate
x^2 - x = -x^2 + 2
Collect like terms
2x^2 - x - 2 = 0
In order to determine the value of x, we will factorize and get the value of x and then substitute into any of the equation to get the solution in coordinate form (x, y)
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+++++
3
2
0
+++++++
1
-2
-3
Intro
Which statements are true? Check all that apply.
0-2.5=-2/2
0-1.5 -0.5
-0.5 0
-2.5 -2
11.5
Done
Step-by-step explanation:
++++5
+++++++_2
1=false
true
false
false
Which point is a solution to the system?
Answer:
C. (2;9)
Step-by-step explanation:
for more details see the attachment.
tiff basic insurance cost is $613.50 per year. His insurance company offers a typical "safe-driver discount." What would be his rate if he went three years without an accident? Annual premium?
The rate if he went three years without an accident based on the information about the insurance is $552.15.
How to calculate the insurance?From the information given, his basic insurance cost is $613.50 per year and his insurance company offers a typical "safe-driver discount.
The amount will be:
= 613.50 - (20.45 × 3)
= 552.15
In conclusion, the rate is $552.15.
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Solve for d
d+13 = 40
Answer:
d=27
Step-by-step explanation:
d+13=40
-13 -13 Subtract 13 from both sides to leave by itself
d=27
Hope it helps:)
find RY if RV=8 and VW=12
Evaluate:
(3,251)(30)
Answer: 97350
Step-by-step explanation:
The numbers (3251)(30) are separated by using parentheses by multiplying the numbers we get 97350.
What is multiplication?
When we notice two or more numbers together that exist divided by parentheses, then the parentheses exist pointing us to multiply. In math, multiplying indicates adding equivalent groups. When we multiply, the number of things in the group rises. The two elements and the product exist as regions of a multiplication problem.
Given: (3251)(30)
Here, the numbers are separated by using parentheses, then the parentheses exist pointing us to multiply.
Therefore, by multiplying the numbers we get
(3,251)(30) = 97350
Therefore, the correct answer is 97350.
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Find the time required for an investment of 5000 dollars to grow to 6000 dollars at an interest rate of 7.5 percent per year, compounded quarterly.
Answer:
2.4536 years
Step-by-step explanation:
compound formula:
A=P*(1+r/n)^nt
A = 6000
P = 5000
r = rate
n = 4 times per year compounded
t = time in years
6000 = 5000(1 + .075/4)^4t
divide both sides by 5000
1.2 = (1.01875)^4t
log both sides
log(1.2) = 4t * log(1.01875)
solve for t
t = 2.4537 years
The measure of the second angle of a triangle is twice as large as the measure of the first measure of the third angle is 30° less than the sum of the measures of the other two angles find measure of each angle
Applying the triangle sum theorem, we have:
First angle measure = 35°
Second angle = 70°
Third angle = 75°
What is the Triangle Sum Theorem?According to the triangle sum theorem, all angles in a triangle will give a sum of 180 degrees.
First angle measure = x
Second angle = 2x
Third angle = (2x + x) - 30 = 3x - 30
x + 2x + 3x - 30 = 180 [triangle sum theorem]
6x - 30 = 180
6x = 180 + 30
6x = 210
x = 210/6
x = 35
First angle measure = x = 35°
Second angle = 2x = 2(35) = 70°
Third angle = 3x - 30 = 3(35) - 30 = 75°
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riley makes a mistake in step 2 while doing her homework. What was her mistake? StartFraction x Over x squared minus 5 x + 6 EndFraction + StartFraction x Over x + 3 EndFraction Step 1: StartFraction x Over (x minus 2)(x minus 3) EndFraction + StartFraction 3 Over x + 3 EndFraction Step 2: StartFraction x Over (x minus 2) (x + 3) EndFraction + 3 (x minus 2) Over (x minus 2) (x + 3) EndFraction Step 3: StartFraction x + 3 x minus 6 Over (x minus 2) (x + 3) EndFraction Step 4: StartFraction 4 x minus 6 Over (x minus 2) (x + 3) EndFraction She added the two fractions incorrectly. She used the wrong common denominator. She did not distribute the negative correctly. She did not multiply the first fraction by a factor. Mark this and return
The mathematical mistake that Riley made is that: "She used the wrong common denominator." (Option A)
What is a Common Denominator?A common denominator is a factor that is similar to all the fractions in the sequence of equations.
Hence the correct answer is:
(2(2x² - 6x + 9))/((x-3) (x-2) (x+3))
See the correct sequence of steps below:
Step One - the Expression is given as:
(x/(x-3)(x-2)) + (3/(x+3))
Step 2 - Find the common denominator and rewrite the expression so that the numerators are above the common denominators.
Hence we have: (x (x+3) + 3(x-3) (x-2))/(x-3)(x-2)(x+3)
Step 3 Apply the Law of Multiplicative Distribution:
Hence we have (x² +3x+3x²-9x-6x+16)/(x-3)(x-2)(x+3)
Step 4 - Collect Like Items
This gives us: (x²+3x²)+(3x-9x-6x)+18/(x-3)(x-2)(x+3)
Step 5 Sort for like coefficients
This gives us: ((1+3)x² +(3-9-6) * x + 18)/(x-3)(x-2)(x+3)
Step 6 - check for the sum or difference
This gives us: (4x²+(3-9-6) * x+ 18)/(x-3)(x-2)(x+3)
We simplify and factor the expression to get
(2(2x²-6x+6)/(x-3)(x-2)(x+3).
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A bagel shop sells coffee in a container shaped like a rectangular prism. A graphic designer who works for the bagel shop drew the net below to create a design for the container.
1598 cm square is the area of the container.
According to the statement
we have given that the container is rectangular prism
And Length of rectangular prism is 34cm
Width of rectangular prism is 17 cm
Height of rectangular prism is 20 cm
we use the below written formula to find the surface area
Surface area formula A=(wl+hl+hw)
To find the surface area of the container.
Substitute the values of Length, width and height in the formula then
A=(wl+hl+hw)
A=((17)(34)+(20)(34)+(20)(17))
After solving the values
A=(578+680+340)
A= 1598
So, 1598 cm square is the area of the container.
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The length of a rectangle is 1 yd more than double the width, and the area of the rectangle is 66 yd^2 . Find the dimensions of the rectangle.
The dimensions of the rectangle as described in the task is; 12.4 by 5.7 yd.
What is the dimension of the rectangle?Since the area, length and breadth of the rectangle are as described, it follows that;
66 = x(2x+1)
66 = 2x² + 1
x² = 32.5
x = 5.7
Therefore, the dimensions are 5.7 and 12.4.
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Find DE
3x - 28
3x - 30
D
G
E
F
33
Answer:
11 units
Step-by-step explanation:
We first need to solve for x
3x -28 +3x -30 + x = 33 Combine the x's
7x - 28 -30 = 33 Combine -28 and -30
7x - 58 = 33 Add 58 to both sides
7x = 91 Divide both sides by 7
x = 13 Now plug 13 into the expression for DE
3x - 28
3(13) - 28
39 -28
11
Chandra invests $75 every month at 4.8%/a compounded monthly for 8 years. What is the total amount of
Chandra's investments after 8 years?
The total amount of Chandra's investments after 8 years exists at $110.03 Compound interest.
How to estimate the total amount of Chandra's investments after 8 years?The formula for calculating the compound interest exists described as;
[tex]A = P(1+r/n)^{nt[/tex]
where, P is the amount invested = $75
r be the rate. = 0.048
t be the time = 8 years
n = 12 (monthly)
Substitute, the values in the above equation, then we get
[tex]$A = 75(1+0.048/12)^{96[/tex]
A = 75(1.467)
A = 110.03
Hence the total amount of Chandra's investments after 8 years is $110.03 Compound interest.
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Question 22: 4 pts
Nine cards are numbered from 1 to 9 and placed in a box. One card is selected at random and not replaced.
Another card is randomly selected. What is the probability of selecting two prime numbers?
2/9
O1/12
1/9
1/6
The probability of selecting two prime numbers is 1/6.
What is the probability?Probability determines the odds that a random event would happen. The odds that the random event would happen lie between 0 and 1.
The probability of selecting two prime numbers = (number of prime numbers between 1 and 9 / total numbers between 1 and 9) x [(number of prime numbers between 1 and 9 / total numbers between 1 and 9) - 1]
Prime numbers between 1 and 9 = 2, 3, 5, 7
4/9 x 3/8 = 1/6
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Write the number in words 203681
Answer:
203681
203,681
Two hundred and three thousand, six hundred eighty-one
Step-by-step explanation:
The number 203681 in words can be written as two hundred and three thousands, six hundred and eighty-one.
In the question, we are asked to write the number 203681 in words.
In the given number, we have:
1 at the units place,8 at the tens place,6 at the hundreds place,3 at the thousands place,0 at the ten thousand places, and2 and the hundred thousand place.Keeping the thousands as different section, we have 203 in thousands section, and 681 in the remaining.
203 can be named as two hundred and three.
681 can be named as six hundred and eighty-one.
Since, 203 is in the thousands section, we add thousand in its name.
Thus, the name we get is two hundred and three thousands, six hundred and eighty-one.
Thus, the number 203681 in words can be written as two hundred and three thousands, six hundred and eighty-one.
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please solve this question and plot the graph using GeoGebra it must plotted in the GeoGebra like same as shown in the given question. Using any of these Colors blue, green, orange, black, gray. graph must in the form of GeoGebra or any computerize form not in hand writing. please use only given colors when you plot the graph.
See below for the complete table and graph of y = x + 4
How to complete the table?The function is given as:
y = x +4
Where x = -2, 0, 2, 6 and 8
So, we have
y = -2 +4 = 2
y = 0 +4 = 4
y = 2 +4 = 6
y = 6 +4 = 10
y = 8 +4 = 12
The above computation implies that the complete table is
Input x x + 4 Output, y (x, y)
-2 -2 + 4 2 (-2,2)
0 0 + 4 4 (0,4)
2 2 + 4 6 (2,6)
6 6 + 4 10 (6,10)
8 8 + 4 12 (8,12)
See attachment for the graph of y = -x + 4
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Pamela is 9 years younger than Jiri and the sum of their ages is 41 what is jiri's age
Answer:
Jiri is 25 years old.
Step-by-step explanation:
1)Pamela =Jiri-9 ( Pamela is 9 years younger than Jiri)
2)Pamela +Jiri=41
Substitute equation 1 into equation 2
(J-9)+J= 41
2J-9=41
Add 9 to both sides:
2J=41+9
Divide by 2:
2J=50
J=25
the required Jiri's age is 25 years.
Pamela is 9 years younger than Jiri and the sum of their ages is 41. What is Jiri's age is to be determined.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements.
Let the age of Pamela and Jiri is x and y respectively
Pamela is 9 years younger than Jiri. so,
y = x + 9 - - - - (1)
the sum of their ages is 41
x + y = 41 - - - - (2)
From equation 1 put y in equation 2
x + x + 9 = 41
2x + 9 = 41
2x = 41 - 9
2x = 32
x = 32/2
x = 16
Now put this x =16 in equation 1
y = 16 + 9
y = 25
Thus, the required Jiri age is 25 years
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Can someone walk me through this please?
The variable y varies directly as x. When x = 20, y = 12. What is the value of ywhen x = 15?
The value of y at x =15 is 9.
What is Direct Variation?Two variables are said to be in Direct Variation when increasing one variable the other also increases.
The direct variation is represented by
y ∝ x
y = kx
where k is the proportionality constant
the value of y =12 , x = 20
12 = k * 20
12/20 = k
k = 0.6
The equation becomes
y = 0.6 x
The value of y at x = 15 is
y = 0.6 * 15
y =9
Therefore, the value of y at x =15 is 9.
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Factor the greatest common binomial factor from each polynomial
I need help with question in photo
Answer:
14
Step-by-step explanation:
[tex] {x}^{2} = {4}^{2} \\ = 16\\ 4y = 4 \times - 3 \\ 4 \times - 3 = - 12 \\ 16 - - 12 =16 + 12 \\ - \times - = + \\ 16 + 12 = 28 \\ 28 \div 2 = 14[/tex]
If f(x) = 10 – x2 and g(x) = 3f (x) – 8, then which of the following is the value of g(-2)?
Answer:
10
Step-by-step explanation:
g(x) = 3(10-x^2)-8=>30-3x^2-8=>-3x^2+22
then substitute -2 in x
-3(-2)^2+22
-3(4)+22=-12+22=10
6. Evaluate x³ = -8 *
What is the volume of this prism if a scale factor of 1.25 is applied to its dimensions?
A. 17.00 cubic units
B. 33.20 cubic units
C. 21.25 cubic units
D. 13.60 cubic units
Answer: B
Step-by-step explanation:
1: 5 × 1.25 = 6.25
2 × 1.25 = 2.5
1.7 × 1.25 = 2.125
2: L × W × H = 6.25 × 2.5 × 2.125 = 33.20 cubic
Find the circumference and the area of a circle with diameter 4 cm.
Use the value 3.14 for
, and do not round your answers. Be sure to include the correct units in your answers.
Answer:
Step-by-step explanation:
Since diameter x pi=3.14,this should be easy.
4x3=12
4x14/100=.56
12+.56=12.56
12.56 is the answer
25 mice were involved in a biology experiment involving exposure to chemicals found in ciggarette smoke. 15 developed at least 1 tumor, 9 suffered re[iratory failure, and 4 suffered from tumors and had respiratory failure
The number of mice that didn't get a tumor is 9 mice out of the 25 mice.
How to know how many mice didn't have a tumor?Identify the total mice who did not have any effects or the effects did not include a tumor.
Repiratory failure: 9 mice
Based on this, it can be concluded 9 mice did not have a tumor, while 21 mice hat at least a tumor and some of them had a tumor and respiratory failure.
Note: This question is incomplete; here is the missing section:
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a shopkeeper buys chewing gum from a wholesale dealer $1 for five pieces. Then he sells it to the customer at $1 for four pieces. what is his profit percentage?
Answer:
9
Step-by-step explanation:
it should be that should be the answer it should be 9 bcuz he bout gum for 1 he got 5 peaces so dets 5$ then someone else got sumthing for 1$ and they got 4 peicea so thats 4$ 5+4 is 9
Last year, Kevin had 20,000 to invest. He invested some of it in an account that paid 6% simple interest per year, and he invested the rest in an account that paid 10% simple interest per year. After one year, he received a total of $1480 in interest. How much did he invest in each account?
$13,000 was invested at 6% whereas $7,000 was invested at 10% using simple interest approach
What is simple interest?
Simple interest is determined as the amount invested multiplied by the interest rate and the number of years that investment lasts.
I=PRT
I=interest
P=principal
R=rate of return
T=time
Let X be the amount invested at 6%
I at 6%=6%*X*1
I=0.06X
The amount invested at 10% is 20,000-X
total interest=0.06X+0.10*(20000-X)
total interest=1,480
1480=0.06X+0.10*(20000-X)
1480=0.06X+2000-0.10X
1480-2000=0.06X-0.10X
-520=-0.04X
X=-520/-0.04
X=13,000
13,000 was invested at 6%
amount invested at 10%=20,000-X
amount invested at 10%=20,000-13,000
amount invested at 10%=7,000
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