Answer:
Step-by-step explanation:
W = 2L + 3, and:
P = 2W + 2L = 192
Substituting 2L + 3 for W, we get:
P = 2(2L + 3) + 2L = 192, or
4L + 6 + 2L = 192, or:
6L = 186
L = 186/6 = 31
The length is 31, the width is 62 + 3, or 65
Therefore, the perimeter P is P = 2(31) + 2(65) = 130 + 62 = 192 (OK!)
In the Itty Bitty High School, there are 85 students. There are 27 students who take French, 51 who take Geometry and 38 who take History. There are 10 that take Geometry and French, 7 that take History and French and 15 that take Geometry and History. There are 2 students who take all 3 and 5 that take none of these subjects.
Answer:
58 students
Step-by-step explanation:
Given
[tex]Total = 85[/tex]
[tex]French = 27[/tex]
[tex]Geometry = 51[/tex]
[tex]History = 38[/tex]
[tex]None = 5[/tex]
[tex]All = 2[/tex]
Required
Students that take only 1 subjects
The attached image illustrates the question.
For French only (x), we have:
[tex]x + 7 -2+10-2+2=27[/tex]
[tex]x + 15=27[/tex]
Collect like terms
[tex]x =- 15+27[/tex]
[tex]x =12[/tex]
For Geometry only (y), we have:
[tex]y+10-2+15-2+2=51[/tex]
[tex]y+23=51[/tex]
Collect like terms
[tex]y=-23+51[/tex]
[tex]y=28[/tex]
For History only (z), we have:
[tex]z +15-2+7-2+2=38[/tex]
[tex]z +20=38[/tex]
Collect like terms
[tex]z =-20+38[/tex]
[tex]z =18[/tex]
Students with one subject is then calculated as:
[tex]1\ subject = x+y+z[/tex]
[tex]1\ subject = 12 + 28 + 18[/tex]
[tex]1\ subject = 58[/tex]
At the Silvermine Subs, they charge $5.75 for the basic sandwich and then $0.45 per ounce for the toppings. If Jordan paid for their sandwich with a $10 billhow many ounces of toppings could they have ordered?
Answer:
9.4 ounces
Step-by-step explanation:
this equation can be derived from the question
$5.75 + $0.45t = 10
where t = ounces of toppings
combine like terms
$0.45t = 10 - $5.75
$0.45t = $4.25
t = 4.25 / 0.45
t = 9.4 ounces
Given: Triangle ABC with AB = 42 and BC = 20. Which of the following are possible lengths for AC?
Answer:
46.5
Step-by-step explanation:
Using the Pythagoras' Theorem, this is the answer you would get.
I hope this helped☺
What is 5.8 written as a percentage?
A)
0.58%
B)
5.8%
o
58%
D)
580%
Answer:
D) 580%
Step-by-step explanation:
you move the decimal to the right twice.
5.8 ---> 580%
hope this helps :)
In
any
School there are 7000
students 45%. are boys. How many
boys are there? How
many girls
are there
Answer: there are 3150 boys and 3850 girl
Step-by-step explanation:
45÷100×7000= 3150 and 7000- 3150 = 3850
Hope this helps!!
Inverse Functions
Using a scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree.
1
⁻
1
a. 45°
b. 90°
c. 0°
d. 1°
Please select the best answer from the choices provided
Answer:
A. 45°
Step-by-step explanation:
I calculated it logically
YOUR ASSIGNMENT: Difference of 10 Erik and Nita are playing a game with numbers. In the game, they each think of a random number from 0 to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers is greater than 10, then Nita wins. Use the information in the interactive and what you know about absolute value inequalities to better understand the game. Your Player 1. Choose your player, and record the number chosen by the other player. (2 points: 1 point for each answer) a. Which player did you select
Answer:
[tex]|x - y| > 10[/tex] ---- Nita wins
[tex]|x - y| < 10[/tex] --- Eric wins
Step-by-step explanation:
The complete instruction is to determine the range at which Erik or Nita wins.
To start with, let
[tex]x \to[/tex] Erik's score
[tex]y \to[/tex] Nita's score
If the difference is greater than 10, the Nita wins.
This implies that:
[tex]|x - y| > 10[/tex] ---- Nita
If less than 10, then Eric wins
This implies that:
[tex]|x - y| < 10[/tex] --- Eric wins
Now, assume that Nita chose 5.
For Nita to win, we have:
[tex]|x - y| > 10[/tex]
[tex]|x - 5| > 10[/tex]
Remove the absolute symbol
[tex]-10 > x - 5 > 10[/tex]
Split
[tex]-10 > x - 5\ or\ x - 5 > 10[/tex]
Solve for x
[tex]5 -10 > x \ or\ x > 10 + 5[/tex]
[tex]-5> x \ or\ x > 15[/tex]
Rewrite as:
[tex]x< -5 \ or\ x > 15[/tex]
x cannot be negative.
So:
[tex]x > 15[/tex]
x cannot exceed 20.
So:
[tex]15 < x \le 20[/tex]
the slope of the line joining points (3 ;2) and (0;a) is-1 determine the value of a
Given:
The slope of the line joining points (3,2) and (0,a) is -1.
To find:
The value of a.
Solution:
If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], the slope of a line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope of the line joining points (3,2) and (0,a) is -1. So,
[tex]\dfrac{a-2}{0-3}=-1[/tex]
[tex]\dfrac{a-2}{-3}=-1[/tex]
Multiply both sides by -3.
[tex]a-2=-1(-3)[/tex]
[tex]a-2=3[/tex]
[tex]a=3+2[/tex]
[tex]a=5[/tex]
Therefore, the value of a is 5.
2(x+4)-6 = 2(x-8)+1
plz show work because if I don't have it then I can't pass
Answer:
no solution
Step-by-step explanation:
Given
2(x + 4) - 6 = 2(x - 8) + 1 ← distribute and simplify both sides
2x + 8 - 6 = 2x - 16 + 1
2x + 2 = 2x - 15 ( subtract 2 from both sides )
2x = 2x - 17 ( subtract 2x from both sides )
0 = - 17 ← not possible
This indicates the equation has no solution
WILL GIVE BRAINIEST what is the sum of the interior angles of the polygon shown below.
Answer:
900
Step-by-step explanation:
(n-2)*180
5*180=900
Answer:
900°
Step-by-step explanation:
The polygon shown in the picture has 7 sides. The formula for finding the sum of interior angles of an n-gon is:
(n - 2)(180)
We can substitute in 7 for n to get the sum:
(7 - 2)(180)
(5)(180)
900°
Select all ratios equivalent to 10:5.
110:55
24:2
14:6
Answer:
110:55
Step-by-step explanation:
first, let's simplify all our options
110:55=10:5
the first one works!
(to check if you're not sure, ratios are fractions. using the numerator to divide, you can divide the numerator by the denominator. in this case, the numerator happens to be greater. 110/55=2. 10/5=2. they both equal to 2! they are equivalent. you can use this to solve other problems!!)
24:2= 12:1
this does not work
14:6= 7:3
this does not work
the only one that works is 110:55
hope this helped <33333
PLEASE HELP MEEEEEE!!!
Answer:
100
Step-by-step explanation:
WHATS THE ANSWER?? answer ASAP
Practice solving roblems involving the volume or
cylinders, cones, and spheres.
Ant
What is the volume of the sphere in terms of r?
V=
IT in 3
6 in
Done
Answer:
V = 4.187r³
Step-by-step explanation:
Volume of a sphere is expressed using the formula;
V = 4/3πr³
r is the radius
Substitute π = 3.14 into the formula
V = 4/3 * 3.14r³
V = 4.187r³
Hence the volume of a sphere in terms of the radius is V = 4.187r³
nana has a water purifier that filters 1/3 of the contaminates each hour
Multiply. (2x-1)(3x+5)
ANSWER
6x² + 7x - 5
Step-by-step explanation:
(2x-1)(3x+5)
= 6x² + 10x - 3x - 5
= 6x² + 7x - 5
Answer:
6x² + 7x - 5
Step-by-step explanation:
FOIL method
Multiply the First terms
2x * 3x = 6x²
Then the Outer terms
2x * 5 = 10x
Inner terms
-1 * 3x = -3x
Last terms
-1 * 5 = -5
--------------------------
All together
6x² + 10x - 3x - 5
Combine like terms
6x² + 7x - 5
a rectangle of side 48cm by 60cm is divided into squares of side x cm.find the greatest value of x and find the area of the area.
Answer:
greatest value of X = 12
Area of square = 144 cm²
Step-by-step explanation:
The greatest value of X will be the highest common factor of 48 and 60 since we are told that the rectangle is divided into squares.
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The highest common factor between both factors of 48 and 60 is 12.
Thus,
greatest value of X = 12
Area of square = 12 × 12
Area of square = 144 cm²
in the sum of two numbers is 20 and their difference is 10 find the numbers
"The sum of two numbers is 20" can be translated mathematically into the equation:
x + y = 20.
"... and their difference is 10" can be translated mathematically as:
x - y = 10
We can now find the two unknown numbers, x and y, because we now have a system of two equations in two unknowns, x and y. We'll use the Addition-Subtraction Method, also know as the Elimination Method, to solve this system of equations for x and y by first eliminating one of the variables, y, by adding the second equation to the first equation to get a third equation in just one unknown, x, as follows:
Adding the two equations will eliminate the variable y:
x + y = 20
x - y = 10
-----------
2x + 0 = 30
2x = 30
(2x)/2 = 30/2
(2/2)x = 15
(1)x = 15
x = 15
Now, substitute x = 15 back into one of the two original equations. Let's use the equation showing the sum of x and y as follows (Note: We could have used the other equation instead):
x + y = 20
15 + y = 20
15 - 15 + y = 20 - 15
0 + y = 5
y = 5
CHECK:
In order for x = 15 and y = 5 to be the solution to our original system of two linear equations in two unknowns, x and y, this pair of numbers must satisfy BOTH equations as follows:
x + y = 20 x - y = 10
15 + 5 = 20 15 - 5 = 10
20 = 20 10 = 10
Therefore, x = 15 and y = 5 is indeed the solution to our original system of two linear equations in two unknowns, x and y, and the product of the two numbers x = 15 and y = 5 is:
xy = 15(5)
xy = 75
This month, Bia earned $157.50 in commission. How much money, in dollars, did she have in sales?
Enter a number in the space provided
Answer:
Total sales made = $ 4500
Step-by-step explanation:
The complete question is
Bia earns a commission on the sales she makes each month. Within a month, Bia earns a 3% commission on the first $3000 she has in sales. She earns a 4.5 % commission on the amount of her sales that are greater than $3000 .This month, Bia earned in commission $157.50. How much money, in dollars, did she have in sales? Enter a number in the space provided.
Solution
3% of the total sales made is the commission on the first $3000 for Bia and on the remaining sum of money the profit made was
Thus,
3% of 3000 + 4.5% of (X -3000) = $157.50
On solving we get -
3% * 3000 + 4.5% * (X-3000) = $157.50
$90 + 4.5% * (X-3000) = $157.50
$90 + 0.045 X - $135 = $157.50
0.045 X = $157.50 + $135 - $90
X = 4500
Total sales made = $ 4500
Is (1, 2) solution for this system of inequalities ?
Answer:
MAYBE
Step-by-step explanation:
What is the measure of ZGMII?
Answer:
answer is A
Step-by-step explanation:
50+90=140
180-140=40
brainliest plz
Mandy is shopping for plates. She is trying to decide between the three packages below. If Mandy is looking for the best deal for each individual plate, which package should she buy
Answer:
Package 3
Step-by-step explanation:
Package 1,
No. of plates = 5
Cost = $38.75
Cost of 1 plate = [tex]\dfrac{38.75}{5}=\$7.75[/tex]
Package 2,
No. of plates = 8
Cost = $58
Cost of 1 plate = [tex]\dfrac{58}{8}=\$7.25[/tex]
Package 3,
No. of plates = 14
Cost = $94.5
Cost of 1 plate = [tex]\dfrac{94.5}{14}=\$6.75[/tex]
The cost of 1 plate in package 3 is the least. It means she should buy package 3.
Jazmine has 4 and 2/3 fluid Ounces of coffee
creamer. She uses 1/6 fluid Ounce of
creamer in each cup of coffee. How
many cups of coffee can Jazmine make
with her creamer?
What is the area of the figure?
A. 54 cm2
B. 42 cm2
C. 54 cm
D. 42 cm
Answer
The area is 54cm² To get the area i split the shape into two shape both having a length of 9in and a width of 3in. I calculate the area for one by using lxw=area and get 27 and times that by two to get 54.
When calculating the area for this object you get 54 and you add the ²symbol because its area is not one dimensioned it is two dimensioned or length times width not just length, so you use the ² symbol to show that.
Answer:
the answer is
b.)42cm2
Step-by-step explanation:
if u add all the figures together u will get ur answer
David has 55% ownership of a company. If there are 1,300,000 stocks, how many stocks
loes he own?
Answer:
715000
Step-by-step explanation:
1300000 • 55%,
55% = 0.55
1300000 • 0.55 = 715000
A six-pack of soda costs $1.69, a 12-pack of soda costs $3.99, and a 24-pack of soda costs $5.90. Which pack was the best deal?
Answer:
The 24 because it is suposed to cost 6.76 and it cost 5.90.
Zach has $50 to spend on a sweater. Let c represent the cost of the sweater. He has a coupon for 5% off. The expression 50 -(c -0.05c)
represents how much money Zach has left after buying the sweater and using his coupon.
Choose two expressions that also represent how much money Zach has left.
A. 0.950
B. 50 -0.05c
C. 50 -0.950
D. 50-C-0.050
E. 50-C+0.050
Answer:
B and D
Step-by-step explanation:
(05.02)A farmer has decided to divide his land area in half in order to plant soy and corn Calculate the area of the entire area so he knows how much soil is needed. SOY #6 yards 6 yards CORN 2.5 yards 6.5 yards Each bag of soil covers 15 Square yards. How many bags should the farmer purchase? 0 1 bag O2 bags O 3 bags 4 bags
9514 1404 393
Answer:
4 bags -- the correct answer is marked
Step-by-step explanation:
The area of a parallelogram is given by the formula ...
A = bh
where b is the base length and h is the height.
Here, the base is the sum of lengths 2.5 yd and 6.5 yd. The height is given as 6 yd. So, the area is ...
A = (2.5 yd + 6.5 yd)(6 yd) = 54 yd²
At 15 yd² per bag, the farmer will need ...
(54 yd²)/(15 yd²/bag) = 3 3/5 bags
Assuming the farmer can purchase only whole bags, the farmer should purchase 4 bags of soil.
Mr. Harris had 35 players try out for the softball
team, but he cut some players from the team.
By the end of tryouts, the team still had more
than 25 players. (Use p as a variable.)
Answer:
35-P=25
Step-by-step explanation:
P= Number of players he cut
A survey of 80 students found that 24 students both play in the band and play a sport. But 22 students are not in band and do not play a sport. There are 48 students in the band. If being in band is the row variable and playing sports is the column variable, fill in the labels in the table.
A 4-column table with 3 rows. Column 1 has entries in band, not in band, total. Column 2 is labeled play a sport with entries a, d, g. Column 3 is labeled do not play a sport with entries b, e, h. Column 4 is labeled total with entries c, f, i.
Which of the following correctly represents the given data in the problem?
a = 24, g = 48, h = 22, i = 80
a = 22, c = 80, d = 24, i = 48
a = 24, b = 48, c = 22, i = 48
a = 24, c = 48, e = 22, i = 80
Answer:
yes
Step-by-step explanation:
mark me brainlist please
Answer:
the answer is d
Step-by-step explanation: