Answer:
lenght = 13 inches
width = 7 inches
Step-by-step explanation:
p= 2(l+b)
let lenght be x
width be y
so x=y+6
40 = 2(y+6 + y)
40= 2( 2y+6 )
20= 2y +6
2y = 20-6
2y=14
y=7
x=7+6=13
so lenght is 13 inches
width is 7 inches
The problem is about finding the length and width of a rectangle given its perimeter and their relationship. Solve it by forming an equation from the given information and solving for 'x'. The resulting dimensions are a width of 7 inches and length of 13 inches.
Explanation:The question given is a problem in algebra and pertains to the dimension of a rectangle. To solve it, let's assume the width of the rectangle to be 'x'. As per the information given, the length can be written as 'x+6'. The formula for the perimeter of a rectangle is 2*(Length + Width).
In this problem, we have perimeter = 40 inches. By substituting the values of length and width into the formula, we get: 2*(x + (x+6)) = 40.
By simplifying, you find that 2*(2x+6) = 40, which reduces to 4x+12 = 40. If you subtract 12 from each side, you get: 4x = 28. Finally, dividing each side by 4 you find the width 'x' equals 7.
Substituting x=7 in length equation: length = 7+6 = 13. So, the dimensions of the rectangle are width = 7 inches, and length = 13 inches.
Learn more about Algebra here:https://brainly.com/question/24875240
#SPJ2
If A and B are independent events, P(A and B) =
Answer:
If A and B are independent events, P(A and B) = P (A) * P (B)
Step-by-step explanation:
Let's recall that independent events means that when one event occurs, it has no impact or influence on the probability of another event occurring. Here’s an example. Let’s say that we have two events, A and B.
Event A : it rains in Seattle
Event B : the Super Bowl match is cancelled in Miami
The two events are independent; if it rains in Seattle, this will have no impact on the probability that the Super Bowl match is cancelled in Miami. Raining in Seattle and the cancellation of the Super Bowl are independent events, therefore:
P(A and B) = P (A) * P (B)
Find the sum of the complex numbers
(2 + 4i) + (9 +61)
A. 7+ 101
B. 11 + 21
C. 7+21
D. 11 + 101
Answer:
11+10i
Step-by-step explanation: (a+ib) + ( x+ iy) = ( a+ x) +i( b+ y)
so, (,2+4i) + (9+6i) = (2+9) + (4+6)i
= 11 + 10i
What does 4 1/4 subtracted by 1 2/3 equal
Answer:
2
Step-by-step explanation:
Answer:
2.58333333333
Step-by-step explanation:
calculator
What is 10 2/6 minus 7 3/6
Answer:
2 5/6
Step-by-step explanation:
10 2/6 - 7 3/6
10 - 7 = 3
2/6 - 3/6 = -1/6
3-1/6 = 2 5/6
Find the value of x in this polygon.
x =
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
PLATO
Write an equation in point-slope form for the line through the given point that has the given slope.
(5, –8); m = –3
Answer:
y=mx+b is the formula. So -8=-3x+5 would be the answer..
since (x,y) just substitute these numbers you have it into the formulas... Take y from (5,-8) and place it into y=mx+b. Next take the slope which is -3. And then since its a postive number we add are x from (x,y). -8=-3x+5. We also add x next to the slope (-3) becuase we are trying to solve for x. And we always put it next to the slope. Hope this helps!
Answer:
Step-by-step explanation:
hello :
note :
Use the point-slope formula.
y - y_1 = m(x - x_1) you have : m=-3 and x_1 = 5 and y_1 = -8
an equation in the point-slope is : y +8 = m(x - 5)
.. Tanner collected 360 cans and bottles while fundraising for his baseball team. This was
40% of what Reggie collected. How many cans and bottles did Reggie collect?
Answer:
Reggie collected 900 cans and bottles.
Step-by-step explanation:
360 ÷ 40 = 9
9 x 100 = 900
900 - 40% = 540
900 - 540 = 360
So, Reggie collected 900 cans and bottles. And between him and Tanner, they collected 1,260 cans and bottles. It must have been VERY dirty where they were collecting the cans and bottles.
Simon makes 30 cakes he gives 1/5 of the cakes to Sali. He gives 10 percent of the 30 cakes to Jane what fraction of the 30 cakes does he have left?
Answer:
7/10
Step-by-step explanation:
0.1 = [tex]\frac{1}{10}[/tex]
1/5
30 × 1/10 = 3
30 × 1/5 = 6
6+3 = 9
30 - 9 = 21
21/30 simplified = 7/10
Answer:
7/10
Step-by-step explanation:
Total number of cakes made by Simon = 30 cakes.
Number of cakes gave to Sali =
1/5 Of total cakes = 1/5 x 30 = 6 cakes.
Number of the cakes gave to Jane = 10% of 30 cakes
10/100 as a decimal 0.10.
10% of 30 cakes = 0.10 times
30 = 3 cakes.
Total number of cakes left = Total cakes made - Cakes gave to Sali - Cakes gave to Jane
30-6-3 = 21
21 cakes left.
21/30 = 7/10
Which expression is equivalent to 210d2 - 63d
Answer:
21d (10d - 3)
Step-by-step explanation:
Factor 21d out of 210d² - 63d
I don't know if this answered your question correctly, but that is how I would solve it.
The expression is equivalent to 210d² - 63d is 21d( 10d - 3).
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
Expression: 210d² - 63d
now, factorizing each term of expression
210d² = 2 x 3 x 5 x 7 x d x d
-63d = -3 x 3 x 3 x d
So, 210d² - 63d
= (2 x 3 x 5 x 7 x d x d) - (3 x 3 x 7 x d).
= 21d (2 x 5 x d - 3 )
= 21d( 10d - 3)
Hence, the equivalent expression is 21d( 10d - 3).
Learn more about Expression here:
https://brainly.com/question/14083225
#SPJ6
Convert 13200 feet into miles
Answer:
2.5 miles
Step-by-step explanation:
to do this, you must know that there is 5280 feet in one mile.
then divide 5280 feet into 13200
13200 ÷ 5280 = 2.5
13200 feet can be converted to miles by dividing the length in feet by the conversion factor of 5280, which represents the number of feet in a mile.
To convert feet to miles,
divide the length in feet by the conversion factor of 5280, as there are 5280 feet in a mile. By dividing 13200 feet by 5280, the results in 2.5 miles. This means that 13200 feet is equal to 2.5 miles in length.To convert 13200 feet to miles, divide 13200 by 5280.
[tex]13200 / 5280 = 2.5[/tex] miles.
13200 feet is equivalent to 2.5 miles
Therefore, 13200 feet is equivalent to 2.5 miles by dividing the length in feet by the conversion factor of 5280, which represents the number of feet in a mile.
Learn more about converting here:
https://brainly.com/question/21054427
#SPJ6
The solution to which inequality is shown in the number line below
Answer:
Could you provide a picture of said number line
if a=10 and b=2,then a/b•b=
a=10 & b=2, according to this, 10/2=5, so now it's 5*2=10
PLEASE HELP ME WITH THIS QUICK 1. What is the measurement of PQ
Answer:
12.72 units
Step-by-step explanation:
Recall the mnemonics: SOHCAHTOA
We want to find PQ, which is opposite to the 58° angle.
So we use the sine ratio: SOH , which means Sine is Opposite/Hypotenuse
[tex] \sin(58 \degree) = \frac{PQ}{15} [/tex]
This implies that:
[tex]PQ = 15 \sin(58) [/tex]
We substitute the value for sin58° to get:
[tex]PQ = 15(0.848)[/tex]
PQ=12.72
What sort of answer do you expect for the problem below?
In a team bike race, each biker has to ride exactly 50 miles. If a team must
complete 560 miles, at least how many bikers are on each team?
A. a positive number
O
O
B. a negative number
Answer:
it would be a positive number
Step-by-step explanation:
this is because you cant have a negative number of bikers.
How to write 2.751 in word from
Answer: Two and Seven hundred fifty one thousanths
Step-by-step explanation:
if the numerator and the denominator of a fraction are both odd numbers,can you write an equivalent fraction with a smaller numerator and denominator?give an example to explain
You can write an equivalent fraction with a smaller numerator and denominator
Fractions
This is the ratio of two integers:
Let the odd numerator be 5 Let the odd denominator be 15We are to determine if you can write an equivalent fraction with a smaller numerator and denominator.
Ratio = 5/15
Simplify
Ratio = (5*1)/(5*3)
Ratio = 1/3
This shows that you can write an equivalent fraction with a smaller numerator and denominator
Learn more on fractions here: https://brainly.com/question/78672
What is the simplest form for 28 out of 32
Answer:
Ans = 7/8
Step-by-step explanation:
28 out of 32
= 28/32
Dividing through by 4
= 28/4 / 32/4
= 7/8
What are the coordinates of its image, J'KL, if this
triangle is dilated by a factor of 5 with respect to the
origin?
Answer:
[tex]J'(-15,10)\\\\K'(15,10)\\\\L'(0,-20)[/tex]
Step-by-step explanation:
For this exercise you must remember that the original figure (before a transformation) is called "Pre-Image" and the one obtained after the transformation is called "Image".
Dilation is defined as a transformation in which the Image and the Pre-Image have the same shape, but different sizes.
If a figure is dilated by a scale factor "k" with respect to the origin, the rule is:
[tex](x,y)[/tex] → [tex](kx,ky)[/tex]
In this case, the vertices of the triangle JKL (the Pre-Image) are:
[tex]J(-3.2)\\\\K(3,2)\\\\L(0,-4)[/tex]
Knowing that the scale factor is:
[tex]k=5[/tex]
You get that the vertices of the triangle J'K'L' (Image), are:
[tex]J'=(5(-3),5(2))=(-15,10)\\\\K'=(5(3),5(2))=(15,10)\\\\L'=(5(0),5(-4))=(0,-20)[/tex]
Answer:
J'(–15, 10), K'(15, 10), and L'(0, –20)
Step-by-step explanation:Glad I could help
There are 6 blue socks, 7 white socks, and 8 gray socks in a drawer. If you pick sock without looking, what is the probability it will be blue?
Answer:
Pr(blue) = 2/7
Step-by-step explanation:
Blue = 6
White = 7
Gray = 8
Total socks = 6+7+8 =21
Probability of picking blue = number of blue ➗ total number of socks
Pr(blue) = 6/21
Divide both by 3 to make the fraction to the lowest term.
Pr(blue) = 2/7
I hope this was helpful, please mark as brainliest
Answer:
2/7
Step-by-step explanation:
6 blue socks
7 white socks and
8 gray socks
Total number of socks = 6 + 7 + 8
= 21
Probability of picking a blue sock without looking = no of blue socks / total number of socks
That’s 6/21
= 2/7
The probability of picking a blue sock is 2/7
Find the missing side length of m.
Answer:
m=4
Step-by-step explanation:
Since we know that quadrilateral ABCD is similar to QRST, we know that the side lengths will be proportional to one another. As such, we should take a ratio to determine the side length of m.
[tex]\frac{ST}{CD}=\frac{RS}{BC}\\\\\frac{6}{15} =\frac{m}{10}\\[/tex]
[tex]\frac{6*10}{15} =m\\m=60/15=4[/tex]
m=4
A flower pot’s base has six sides that are all the same length. Each side measures
x−6
units. The base’s perimeter is 78 units. what is the value of x?
Since we know there are 6 sides and each side has the length of x-6, we set up this equation and solve:
6(x-6)=78
x-6=13
x=19
So the value of x is 19, which means each side has a length of 13 units.
Hope this helped!
Find the Highest Common Factor of 32 and 24
Answer:
the highest common factor of 32 and 24 is 8.
Step-by-step explanation:
A 17 minute telephone call from Boston to Chicago costs 2.38 what is the cost per minute?
Answer:
0.14
Step-by-step explanation:
As for 17-minute call = 2.38 cost
Thus per minute call which is 1 minute call is = 2.38/17 min
Therefore the answer is 0.14
Petra must write a report with more than 1,000 words for her history class. So far, she has written 684 words. Write and solve an inequality to find how many more words Petra needs to write for her report.
Answer:
1684 words
Step-by-step explanation:
Algebra identify the pattern. Then write the next three terms in each sequence. 63,58,53,48.....
Answer:43, 38, 33
Step-by-step explanation:
The pattern is subtracting 5
63 -5 = 58
58 - 5 = 53
53 - 5 = 48
48 - 5 = 43
43 - 5 = 38
38 - 5 = 33
120% of x is equal to 78.
Write an equation that shows the
relationship of 120%, x, and 78.
Use your equation to find x. Show
your reasoning.
Please help
Answer:
x = 65
Step-by-step explanation:
120% converts to the mixed decimal quantity 1.20.
Then 1.20x = 78, and this can be solved for x as follows:
Divide both sides by 1.20. We get: x = 78/1.20, or x = 65
Answer:
Step-by-step explanation:
PLEASE HELP QUICK!!!!
Answer:
Step-by-step explanation:
ABC = 72 degrees
CBF = 108 degrees
DBE = 18 degrees
ADB = 90 degrees
What is the perimeter of the 9-inch by 12-inch photo?
9+9+12+12.
24+18.
Answer? 42 inches
Answer:
The perimeter is 42 inches
Step-by-step explanation:
The perimeter is the sum of each side. So 9 + 9 + 12 + 12 = 42
You can also use the formula, w*2 + l*2 = P
Hope this helped! :)
Alan, Brady and Matt shared 740 marbles. Alan has 20 fewer marbles than Brady and 120 fewer marbles than Matt. How many marbles did Alan have?
Answer:
[tex]200 \ marbles[/tex]
Step-by-step explanation:
[tex]Let\ Alan\ have\ =x\ marbles\\Brady\ have = (x+20)\ marbles\\Matt\ have = . (x+120)\ marbles\\\\Total\ marbles = 740\\x+(x+20)+(x+120)=740\\x+x+20+x+120=740\\3x+140=740\\3x=740-140\\3x=600[/tex]
Dividing [tex]3[/tex] both sides.
[tex]\frac{3x}{3}=\frac{600}{3}\\\\x=200[/tex]
We solve the problem by setting up a linear equation based on the information given. We solve it to find that Brady has 260 marbles and then deduct or add from this number to find the number of marbles for Alan and Matt. Our answer is that Alan has 240 marbles.
Explanation:This problem involves solving linear equations in order to find the number of marbles each person has. Firstly, we need to represent each person's marbles in terms of the other person's marbles as given in the question.
Let's say Brady has 'b' marbles. From the problem, we deduce that Alan has 'b-20' marbles (20 less than Brady). We can also deduce that Matt has 'b-20+120' marbles (120 more than Alan).
Given that the total number of marbles is 740, we can set up the equation b + (b - 20) + (b - 20 + 120) = 740. Solving this linear equation, we get b = 260. Then, substituting b in the expressions for Alan and Matt will give us the number of marbles for each person, implying Alan has 260 - 20 = 240 marbles.
Learn more about Linear Equations here:https://brainly.com/question/32634451
#SPJ11
3.541 ( repeating 41) as a simplified fraction
[tex]\boxed{x=\frac{1753}{495}}[/tex]
Explanation:The steps are as follows:
Step 1. Let's create an equation such that x equals the decimal number
[tex]x=3.5414141...[/tex]
Step 2. Let's multiply x by 100
[tex]10x=35.414141... \ \ \ eq 1[/tex]
Step 3. Let's multiply x by 1000
[tex]1000x=3541.414141... \ \ \ eq2[/tex]
Step 4. Subtract equation (1) from (2)
[tex]1000x-10x=3541.414141... - 35.414141... \\ \\ 990x=3506 \\ \\ x=\frac{3506}{990} \\ \\ Dividing \ both \ numerator \ and \ denominator \ by \ 2: \\ \\ \boxed{x=\frac{1753}{495}}[/tex]
Learn more:Improper fractions: https://brainly.com/question/371460
#LearnWithBrainly
The fraction that represent the given repeating decimal number is [tex]\frac{3506}{990}[/tex].
The given repeating of decimal number is [tex]3.5\bar{41}[/tex].
The decimal number can be written as [tex]3.5414141......[/tex]
Take [tex]x=3.5414141......[/tex]---------(i)
Multiply equation (i) by 10, we get
[tex]10x=35.414141......[/tex] ---------(ii)
Multiply equation (i) by 1000, we get
[tex]1000x=3541.4141......[/tex] ---------(iii)
Subtract equation (ii) from (iii), we get
[tex]1000x-10x=3541.4141......-35.4141......[/tex]
[tex]990x=3506[/tex]
[tex]x=\frac{3506}{990}[/tex]
Therefore, the fraction that represent the given repeating decimal number is [tex]\frac{3506}{990}[/tex].
To learn more about the fraction visit:
brainly.com/question/1301963.
#SPJ6