Answer:
14cm and 22cm
Step-by-step explanation:
Given parameters:
Perimeter of rectangle = 72cm
Ratio of length to width = 7: 11
Unknown:
Length and width of the rectangle = ?
Solution:
Since the ratio of length to width is 7: 11,
if the length is 7x , width = 11x
The perimeter of a rectangle can be obtained using
Perimeter = 2(L + W)
Insert the parameters and solve;
72 = 2(7x + 11x )
72 = 2(18x)
x = [tex]\frac{72}{36}[/tex] = 2
The length = 7x = 7x2 = 14cm
width = 11x = 11 x 2 = 22cm
In a school of 200 students, 90 students are in the marching band, 145 students are on sports teams and 75 students participate in both activities. How many students are involved in either band or sports?
A. 75
B. 160
C. 220
D. 230
E. 165
Answer:
c
Step-by-step explanation:
answer this please please
Answer:
B = 3
Step-by-step explanation:
The answer has to be 3 because this is a 3-4-5 triangle. We can also you the Pythagorean theorem to solve for B.
a²+b²=c²
(4)²+b²=(5)²
16+b²=25
b²=9
√b=√9
b=3
Which of the following is a solution of (x - 5)(x + 7) = 3x + 21
0
45
8
5
[tex](x - 5)(x + 7) = 3 x + 21[/tex]
[tex](x - 5)(x + 7) = 3(x + 7)[/tex]
[tex](x - 5)(x + 7) - 3(x + 7) = 0 \\ [/tex]
[tex](x + 7)(x - 5 - 3) = 0[/tex]
[tex](x + 7)(x - 8) = 0[/tex]
[tex]x + 7 = 0 \\ x = - 7[/tex]
Or
[tex]x - 8 = 0 \\ x = 8[/tex]
Determine if -81.42 is rational or irrational. If it is rational, write the number as a ratio of two integers.
Answer:
-81.42 is a rational number
Step-by-step explanation:
[tex] - 81.42 \\ \\ = - \frac{8142}{100} \\ \\ = - \frac{8142 \div 2}{100 \div 2} \\ \\ = - \frac{4071}{50} \\ \\[/tex]
Answer: It is a rational number.
A rational number is a number that can be represented as a fraction.
The fraction can be: [tex]- \frac{4071}{50}[/tex] because:
[tex]-\frac{81.42}{100}[/tex] ÷ 2 = [tex]\frac{40.71}{50}[/tex]
The answer is yes, it is rational.
Line segment AB has endpoints at B (2 , 4) and A (22 , 4). Find point C so that it is located 3/4 of the way from A to B.
Answer:
need points
Step-by-step explanation:
need points
How long does it take for a snail to crawl 84 inches
Answer:
Step-by-step explanation:
You are not authorized to post a reply. A snail is at the bottom of a well 30 feet deep. It crawls up 3 feet each day, but at night, it slips down 2 feet. How long does it take for the snail to crawl out the well? 28 days. On the last day he would have reached the top and escaped before sliding down that night.
Answer:
2.55 minutes it takes a snail to crawl 85 inches
i hope this helps you
Which value is irrational? −13.6¯¯¯ − 13. 6 ¯ 0 0 10−−√ 10 6.1357
Answer:
1. If the roots of the quadratic equation ax2 + bx + c = 0 are real, irrational, and unequal, then the value of the discriminant is
2. Factored completely, the expression 16 tanθ - tan3θ is equivalent to
3. High school officials wanted to assess the need for a new diving board. They created a survey and distributed it to a large, diverse crowd at the State Swim Meet held at their school. Which characteristic of the survey is most likely to create a bias?
4. Which expression is equivalent to cos P cos 50 - sin P sin 50?
5. What is the product of the roots of the quadratic equation 2x2 - x = 4? 6. In which method of data collection does the researcher intentionally intervene to arrange for a comparison of results?
7. Which equation could be represented by the graph below?
8. The first four terms of the sequence with a1 = 40 and an = 3/4 an-1 are
9. Which diagram represents an angle of 7/4 pi; radians in standard position?
Step-by-step explanation:
Answer:
The one with the √
Step-by-step explanation:
If it has a √ it always means its irrational
Hope this helps!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Two shelters offers dog adoption twice a year ruff had 123 dogs adoption in january 196 fogs adoption in July barks had 78 dogs adoption in January and 135 adoption in July estimates the difference in the number of dogs adoption at each shelter that year
Answer:
106
Step-by-step explanation:
ruff
123 dogs adoption in january
196 dogs adoption in July
Total adoption for the year = 123 + 196
= 319 adoptions
barks
78 dogs adoption in January
135 adoption in July
Total s like adoption for the year = 78 + 135
= 213 adoptions
Difference in the number of dogs adoption at each shelter that year
= Ruff total adoption for the year - Bark's total adoption for the year
= 319 adoptions - 213 adoptions
= 106
The difference in the number of dogs adoption at each shelter that year is 106
A school has a square playground with each side
measuring 120 feet. A scale drawing of the playground uses the scale 1/2 inch equals 12 feet. What is the length of a side of the playground on
this scale drawing?
Do supplementary angles always form a straight line
Answer:
Yes
Step-by-step explanation:
Supplementary angles are a set of angles that always add up to 180 degrees.
5x-2y=15 solve for y
Answer:
this should be it
Step-by-step explanation:
PLEASE HELP ASAP 20 PTS
1. Name two vertical angles.
2. Name a linear pair with vertex B.
3. Name an angle not adjacent to, but complementary to ZFGC.
4. Name an angle adjacent and supplementary to ZDCB.
5. Write the statement All dogs have four feet in if-then form.
Find the value of this triangle!
From what I understand, we need to find x, y, and z.
We can easily find x by knowing a triangle has 180°.
Add 72+86=158 and then subtract 180-158 which gets you 22.
Now we have x=22°.
To find y, we first must find z. We can find z using the vertical angles theorem. This means x and z and the same, so z=22°.
Now, we can now find y by adding 70 and 22 = 92.
Subtract 180-92=88°.
All values have been found!
x=22°
y=88°
z=22°
Is -90 a rational number help
Answer:
yes u can make it a fraction
Answer:
YES!
Explanation:
Rational numbers are all positive and negative numbers and can be written as a fraction.
1.) x, y, and x?
abcdefg
Answer:
x and y vertex is (-2,-9)
and the x-intercept(s): (1,0), (-5,0)
I hope this helps
if you could, feel free to mark me Brainliest it would be much appreciated :D
Answer:
I dont really know
Step-by-step explanation:
please help me i’m being timed
Answer:
top l) -4[tex]\frac{4}{5}[/tex]
top r)-7.5
bottom l) 1.5
bottom r)-2[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Pedmas
When solving Pedmas and there are brackets inside brackets what should you do to get the operations right?
13POINTS!!
Could mark as brainelist
Answer:
Step-by-step explanation:
You do what's in the innermost brackets first, unless you have an unknown variable.
Write the fraction eight-fifths as an equivalent fraction with a numerator of 40
Answer:
40/25
Step-by-step explanation:
8*5=40
so you can also do 5*5=25 to get your denominator
Jay decides to go parachuting. Her elevation drops by-80 feet in 8 seconds, How far is she dropping each second
Answer:
10 feet per sec
Step-by-step explanation:
since she dropped by 80 feet in 8 sec therefore she dropped 10 feet in 1 sec
Find the next two numbers in the pattern.
−12,60,−300,1500
the pattern is
multiplied by -5
so...
1500 *-5 = -7500
-7500*-5 = 37500
hope this helps
Answer:
-7500,37500 are next two numbers in the pattern
Mario had 12 apples and gave away x apples. Luigi had 26 apples and gave away three times as many apples as Mario did. How many apples did Mario give away if they had the same number of apples left?
Answer:
7 Apples
Step-by-step explanation:
For this question, we can write expressions for Maria's apples and Luigi's apples and form an equation as they end up with the same amount.
Mario starts with 12 apples but gives away x number. This means Mario's final amount of apples can be represented as: 12-x
Similarly Luigi starts with 26 and gives away 3 times the amount of Mario. So the number he gave away can be represented as: 3x (3 times the number Mario gave away). Therefore we can represent Luigi's final number as: 26-3x
Since they both end up with the same number of apples, we can put these expressions equal to each other in an equation to solve for x (the number of apples Mario gave away):
Mario Luigi
12-x = 26-3x
12-x=26-3x
Now we just need to move the unknowns to one side and the other terms to the other, combine and solve:
12-x-12=26-12-3x
-x=14-3x
-x+3x=14-3x+3x
2x=14
2x/2=14/2
x=7
Mario gave away 7 apples.
Hope this helped!
Write an addition expression that equals 8. Use at least 1 zero pair (i think I’m just slow lol)
Answer:
8 use at least one zero That what they said in my math class I hope the answer right
It costs $11.50 to rent a canoe and $5.50 to use the canoe for an hour. You have $28. Write an equation that represents the number h of hours you can rent the canoe
Answer:
(28 - 11.5) ÷ 5.5
Step-by-step explanation:
So let's examine this question.
We have already payed $11.50 the rent the canoe, so we have $16.50. Divide that by $5.50, and you get 3. So, 3 hours.
Now for the expression.
You start out with $28. You subtract $11.50 from it because it is being used to rent the canoe. You then divide your answer by $5.50 to determine how many hours you can use the canoe for.
Hmm.
(28 - 11.5) ÷ 5.5 = h
(28 - 11.5) ÷ 5.5 = 3
HELP!
i picked the wrong answer and my reach won’t let me out the class until i get it right
Answer:
a
Step-by-step explanation:
In the process of making a financial forecast, Farid has been looking closely at his
variable expenses. Currently, each week he spends an average of $25 on food, $30 on
entertainment, and $40 on clothing and other purchases. If Farid reduced his variable
expenses in each of these three categories by $7 a week, how much would he save
over the course of one year?
Answer:
1092
Step-by-step explanation:
first calculate expense for each week;
25+30+40= 95
expense after saving
25-7= 18
30-7=23
40-7=33
18+23+33= 74
total saving for each week= 95-74=21
(you can also just do 7*3=21 to know total saving each week)
weeks in a year=
365 days/7= 52.14 = 52 weeks
total savings for the year= 52*21=$1092
Answer:
$1092Step-by-step explanation:
There are 3 variables
Food, entertainment and clothing and other purchasesSaving amount is
$7 per each variable per weekTotal saving per week is
$7*3 = $21Saving per year considering 52 weeks per average year is:
$21*52 = $1092simplify in picture below
Answer:
11
Step-by-step explanation:
Use PEMDAS
Literal equations are equations containing
Answer:
Literal equations, simply put, are equations containing two or more variables. Your goal is to solve for just one variable with respect to others
Step-by-step explanation:
literal literal equations are equations that contain more than one variable
m_1=3x, m 2 = 4x, m 3 = 2x, find x.
10
20
30
40
Answer:
x=20
Step-by-step explanation:
3x+4x+2x = 180
9x =180
x = 20
note: brainliest would be appreciated.
Which expression correctly represents “ten times the difference of a number and six”?
Answer: 10(x-6)
Step-by-step explanation:
Answer:
10(n-6)
Step-by-step explanation:
