Answer:
Required Answer:-Let
[tex]\sf length=x [/tex]
[tex]\sf Breadth={\dfrac {x}{4}}[/tex]
As we know that in a rectangle
[tex]{\boxed{\sf Perimeter=2 (l+b)}}[/tex]
Substitute the values[tex]{:}\longrightarrow\sf 2 \left (x+{\dfrac {x}{4}}\right)=375 [/tex]
[tex]{:}\longrightarrow\sf 2 \left({\dfrac {4x+x}{4}}\right)=375 [/tex]
[tex]{:}\longrightarrow\sf 2 \left({\dfrac {5x}{4}}\right)=375 [/tex]
[tex]{:}\longrightarrow\sf {\dfrac {10x}{4}}=375 [/tex]
[tex]{:}\longrightarrow\sf 10x=4×375 [/tex]
[tex]{:}\longrightarrow\sf 10x=1500 [/tex]
[tex]{:}\longrightarrow\sf x={\dfrac {1500}{10}}[/tex]
[tex]{:}\longrightarrow\sf x=150[/tex]
[tex]\therefore[/tex]Length =150feet
Elena went to a store where you can scoop your own popcorn and buy as much as you want. She bought 10 ounces of spicy popcorn for $2.50. How much popcorn can you buy per dollar? Do not include units (oz) in your answer.
Answer:
4
Step-by-step explanation:
$2.50 → 10 ounces
$1.00 → (10/2.50 x 1.00) ounces = 4 ounces
Tommy bought a total of 30 apples and oranges for a classic picnic. Apple's cost $3 per pound and oranges cost $4 per pound. Tommy spent $100 total. How many apples and oranges did Tommy buy?
Answer:
20 apples and 10 orangesStep-by-step explanation:
Let amount of apples be x and oranges be y
Then we have:
x + y = 303x + 4y = 100Subtract triple of the first equation from the second one:
3x + 4y - 3(x + y) = 100 - 3*303x - 3x + 4y - 3y - 10y = 10Then finding x
x = 30 - 10 = 20So apples = 20, Oranges = 10
10
44:25
The monthly mean salaries and standard deviations of four college students are given below.
Standard Deviation
12.53
Student
Clarissa
Abi
Kaila
Shenika
Mean
$345
$598
$812
$208
8.99
15.29
7.67
Which statement must be true?
O The monthly salary of Shenika is less spread out than the monthly salary of Clarissa,
O The monthly salary of Kaila is less spread out than the monthly salary of Abi.
O The monthly salary of Abi is less spread out than the monthly salary of Shenika.
O The monthly salary of Clarissa is less spread out than the monthly salary of Abi.
Save and Exit
Next
Submit
Mark this and return
Answer: The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.
Step-by-step explanation:
Standard deviation measures the spread around the mean of the different variables.
Shenika's monthly salary has a standard deviation of 7.67 while Clarissa has a standard deviation of 12.53. This means that Shenika's monthly salary is less spread out than the monthly salary of Clarissa.
pls help on these two math questions ill give brainlyest to first correct answer
Answer:
#1: Dillon, Harry, Paul, Winston #2: B
Step-by-step explanation:
#1: Absolute value is the opposite of the negative number, so it's just 2, 8, 10, and 13.
#2: Count by 10's, it's on the 50 line
Answer:
1)Dillon, Harry, Paul and Winston
2) C
What is the percent change from 9,000 to 900?
Answer:
-90%
Step-by-step explanation:
Change/ original x 100
9000-900= 8100
8100/9000= 0.9
0.9 x 100 = 90
i need the answers for the seven angels
Answer:
<1=83
<2=97
<3= 83 (given)
<4=97
<5=83
<6=97
<7=83
<8=97
Step-by-step explanation:
They give you the angle for 3 which is 83, so from there all you have to do is find the equivalent angles which are angle 1,5,7. Then for angles 2,4,6,8 you subtract 83 from 180 and you get 97.
Which of the following is equivalent to 1/8?
A.
1 to 8
B.
2 to 8
C.
8 to 1
please help i’m so close to being done :(
Answer:39 i dont im 12 ps out
Step-by-step explanation:
Solve the simultaneous equations
x + 6y = 20
x + 3y = 14
x =
Y=
Answer:
x = 8, y = 2
Step-by-step explanation:
Multiply the second equation by -2:
x + 6y = 20
-2x - 6y = -28
Add the equations and simplify:
-x = -8
x = 8
Plug x = 8 back into the first equation and solve for y:
8 + 6y = 20
6y = 12
y = 2
Answer:
x=8
Y=2
or
(x,y)=(8,2)
Step-by-step explanation:
x+6y=20
x+3y=14
solve the equation for x
x+6y=20
x=14-3y
substitute the given value of x into the equation
x+6y=20
14-3y+6y=20
14+3y=20
3y=20-14
3y=6
3y/3=6/3
y=2.
substitute the given value of y into the equation
x=14-3y
x=14-3×2
x=14-6
x=8.
the possible solution of the system is the ordered pair (x,y)
(x,y)=(8,2)
or
x=8
Y=2
Proof:
Check if the given ordered pair is the solution of the system of equations
8+6×2=20
8+3×2=14
simply the equalities
20=20
14=14
since all of the equalities are true, the ordered pair is the solution of the system
(x,y)=(8,2)
Item 12 You need to read 20 poems in 5 days for an English project. Each poem is 2 pages long. Evaluate the expression 20×2÷5 to find how many pages you need to read each day.
Answer:
8 pages
Step-by-step explanation:
It is given that,
You need to read 20 poems in 5 days for an English project. Each poem is 2 pages long.
We need to find no of pages you need to read each day. Let the no of pages are x. It can be calculated as follow :
[tex]x=20\times 2/5\\\\=20\times \dfrac{2}{5}\\\\=4\times 2\\\\=8[/tex]
Hence, there are 8 pages you need to read each day.
Express the following ratios in simplest form: 20:40
Answer:
1:2
Step-by-step explanation:
By dividing both sides by 20 you will get 1:2 which is the same thing as 20:40 if you multiply 1:2 on both sides by 20
Answer:
1 : 2
Step-by-step explanation:
20 : 40
20/10 : 4/10
2 : 4
2/2 : 4/2
1 : 2
Write the equation of the line y=(5)/(6)x+(7)/(6) perpendicular to
that passes through the point (-8,7)
Answer:
6x + 5y + 13 = 0.
Step-by-step explanation:
y = 5/6x + 7/6
Gradient = 5/6
Since the line is perpendicular to y = 5/6x + 7/6
then its gradient is -6/5.
Hence its equation is: point (-8,7).
y - 7 = -6/5(x -(-8))
multiplying through by 5 we get;
5y - 35 = -6(x + 8)
5y - 35 = -6x - 48
6x + 5y + 13 = 0
you have 50$ and want to buy some shoes that cost $45. the tax rate for the shoes is 7%. do you have enough money to buy the shoes?
Please answer questions answer don't write a random word I will report and get banned from the site
Answer:
Yes, you have enought money
Step-by-step explanation:
45 times 107% (100 for the total cost and and 7 for the tax) is equal to 48.15. You have 50 dollars, therefore you can buy your shoes.
There are 5 less oranges on the tree today than there was yesterday
Plz help
The no. of apples on the tree today
= The no. of apples on the tree yesterday - 5
Let us take 'the no. of apples on the tree today' as 'x'
and 'the no. of apples on the tree today' as 'y'
Therefore, x = y - 5
Hope this is the thing u are looking for
Can someone explain how to solve this?
Answer:
here you go. hope this helps!
SOmeone SMART HELP ME OMG
Answer:
x = 7, arc DE = 198°
Step-by-step explanation:
Inscribed angles from the same arc are congruent.
∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus
12x + 15 = 3x + 78 ( subtract 3x from both sides )
9x + 15 = 78 ( subtract 15 from both sides )
9x = 63 ( divide both sides by 9 )
x = 7
Thus
∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°
The inscribed angle DCE is half the measure of its intercepted arc, thus
arc DE = 2 × 99° = 198°
Show work thanks please help me
Answer:
∠ JKL = 32°
Step-by-step explanation:
Since KN bisects ∠ LKM , then
∠ LKN = ∠ NKM = 35°
Thus
∠ JKL = ∠ JKM - ∠ LKN - ∠ NKM
= 102° - 35° - 35°
= 102° - 70°
= 32°
Given x:y:z = 7:2:5 and the value of
x - z =18. Find the value of x+y+z.
Diberi x:y:z = 7:2:5 dan nilai x - 2 =18.
Cari nilai bagi x+y+z
A 14
B. 126
C. 210
D. 232
Answer:
x + y + z = 123
Step-by-step explanation:
x:y:z = 7:2:5
Let x = 7a, y = 2a, z = 5a
Since x - z = 18
Therefore,
7a - 5a = 18
2a + 18
a = 18/2
a = 9
7a = 7*9 = 63
2a = 2*9= 15
5a = 5*9 = 45
x + y + z = 63 + 15 + 45
x + y + z = 123
PLEASE PLEASE HELP.
Answer:
120 square feet
Step-by-step explanation:
they are similar so they are in a ratio 20/10=2 so smaller triangle is twice the larger one 6×2=12ft
area of triangle =1/2×base×height
=1/2×20×12
=120 square feet
Determine the number of solutions to each system of equations.
Please put all of the equations in either One Solution, No Solution, or Infinitely Many Solution boxes
DUE TONIGHT
Answer:
One Solution:
y=0.5x-2 ; y=-0.5x+4y=2x+1 ; y=-4x+1No Solution:
y=0.5x+1 ; y=0.5x+5y=-x-3 ; y=-x+3Infinity many solutions:
y=-x-2 ; y=-x-2y=3x+2.5 ; y=3x+2.5Step-by-step explanation:
We will see the system of equations one by one.
First system of Equation:
[tex]y = 0.5x-2\\y=-0.5x+4[/tex]
It can clearly be seen that the two lines formed by the given equations are in opposite direction and they will have one intersection point so only one solution
Second System of Equation:
[tex]y=0.5x+5\\y=0.5x+1[/tex]
This system also has no solution as the equations represent parallel lines and if we try to solve them we will get the solution in the form 0 = constant.
Third System of Equations:
[tex]y =2x+1\\y = -4x+1[/tex]
The given equations will have a unique solution because the lines have different slopes or when graphed, they will have an intersection point.
Fourth System of Equations:
[tex]y=3x+2.5\\y=3x+2.5[/tex]
The lines formed by these lines will overlap each other so there will be infinity many solutions.
Fifth System of Equations:
[tex]y=-x-3\\y=-x+3[/tex]
These equations represent parallel lines so there will be no solution.
Sixth System of Solution:
[tex]y=-x-2\\y=-x-2\\[/tex]
The system will have infinite number of solutions
Hence,
One Solution:
y=0.5x-2 ; y=-0.5x+4y=2x+1 ; y=-4x+1No Solution:
y=0.5x+1 ; y=0.5x+5y=-x-3 ; y=-x+3Infinity many solutions:
y=-x-2 ; y=-x-2y=3x+2.5 ; y=3x+2.5Answer:
the first answer is correct
Step-by-step explanation:
[BRAINLIEST] To manufacture an automobile requires painting, drying, and polishing. Epsilon Motor Company produces three types of cars, the Delta, the Beta, and the Sigma. Each Delta requires hours for painting, hours for drying, and hours for polishing. A Beta requires hours for painting, hours for drying, and hours for polishing, and a Sigma requires hours for painting, for drying, and for polishing. If the company has hours for painting, hours for drying, and hours for polishing per month, how many of each type of car are produced?
Answer:
The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.
Step-by-step explanation:
let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.
from the condition given in the question we can write
9x + 13y + 9z = 257 ........ (1)
4x + 6y + 4z = 116 ........... (2) and
3x + 4y + z = 59 ......... (3)
From equation (2) we get
9x + 13.5y + 9z = 261 ....... (4) {Multiplying with both sides}
solving equations (1) and (4) we get
0.5y = 4
and ⇒ y = 8.
from equation (2) putting the value of y we get,
4x + 4z = 116 - 48 = 68
⇒x + z = 17 .....(5)
Now, from equation (3) putting y = 8 we get,
3x + z = 59 - 32 = 27 ....... (6)
hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x
⇒ 2x = 10
⇒ x = 5
So, z = 17 - x = 12
therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.
Which angles are adjacent angles?
Answer:
<stv and <stq
Step-by-step explanation:
adjacent angles have the same vertex and are side by side.
15.5 divided by 33.17
Answer: 15.5 divided by 33.17 would be 0.46728972
Make sure you put your decimal point
ASAP what is the x and y intercept for −4x+7y=3
Answer:
x - (-3/4,0)
y - (0, 3/7)
Step-by-step explanation:
How to do this question plz answer
Answer:
a. 9 sides
b. 18 sides
c. 24 sides
d. 30 sides
Step-by-step explanation:
We can use the equation 180(n-2), which n is the number of sides to find the answer.
a. 180(n-2)=1260
n-2=7
n=9
b. 180(n-2)=2880
n-2=16
n=18
c. 180(n-2)=3960
n-2=22
n=24
d. 180(n-2)=5040
n-2=28
n=30
Answer:
a) 9 sides
b) 18 sides
c) 24 sides
d) 30 sides
Step-by-step explanation:
sum of interior angles = (n - 2) * 180
where n is the number of sides
a) 1260
(n - 2) * 180 = 1260
(n - 2) = 1260/180
(n - 2) = 7
n = 7 + 2
n = 9
b) 2880
(n - 2) * 180 = 2880
(n - 2) = 2880/180
(n - 2) = 16
n = 16 + 2
n = 18
c) 3960
(n - 2) * 180 = 3960
(n - 2) = 3960/180
(n - 2) = 22
n = 22 + 2
n = 24
d) 5040
(n - 2) * 180 = 5040
(n - 2) = 5040/180
(n - 2) = 28
n = 28 + 2
n = 30
What is the slope of the line through (-1, 4) and (1,-2)?
Answer:
-3
Step-by-step explanation:
The rise is 6 and the run is 2
Solve for x and y by elimination 3x+y=-1
Answer:
we need 2 equations to solve by elimination
Answer:
Step-by-step explanation:
for x
3x + y = -1
subtract 3x from both sides
y = -3x - 1
answer
for y
3x + y = -1
subtract y on from both sides
3x = -y -1
divide by 3
x = -1/2y - 1/3
answer
evaluate the expression 8/d + 3 when d=4
Answer: 5,
Step-by-step explanation: I got it right, and I hope this helps you! ✨
Answer:
the evaluation of the equation is 5
Step-by-step explanation:
To add fractions, find the LCD and then combine.
Unit rate $80 For 16 tickets?
Answer: each ticket cost 5 dollar
Step-by-step explanation: if you do 80 divide 16 you will get 5. So if you did 5x16 you would get 80.
How do I solve this equation and check the solutions?
[tex]x = - 10 \\ [/tex]
[tex]x = 2[/tex]
Step-by-step explanation:
[tex] \sqrt{20 - 8x} = \times [/tex]
[tex]20 - 8x = {x}^{2} [/tex]
[tex] {x}^{2} + 8x - 20 = 0[/tex]
[tex]x = - 10[/tex]
[tex]x = 2[/tex]