Answers
Answer:
Result:
The value of x = 12The value of y = 21Step-by-step explanation:
Given
The parallelogram DEFG
DE = 6x-12
FG = 2x+36
EF = 4y
DG = 6y-42
We know that the opposite sides of a parallelogram are equal.
As DE and FG are opposite sides, so
DE = FG
substituting DE = 6x-12 and FG = 2x+36 in the equation
6x-12 = 2x+36
6x-2x = 36+12
simplifying
4x = 48
dividing both sides by 4
4x/4 = 48/4
x = 12
Therefore,
The value of x = 12
Also, EF and DG are opposite sides, so
EF = DG
substituting EF = 4y and DG = 6y-42 in the equation
4y = 6y-42
switching sides
6y-42 = 4y
6y-4y = 42
2y = 42
dividing both sides by 2
2y/2 = 42/2
y = 21
Therefore,
The value of y = 21
Result:
The value of x = 12The value of y = 21Related Questions
A car dealer offers a discount of 15% off the normal price of a car for cash.
Emma pays £6120 cash for a car.
Calculate the normal price of the car.
Answers
Answer:
7200
Step-by-step explanation:
100/(100-15) * 6120 = 7200
Althea paid $5.00 each for two bracelets and later sold each for $15.00. She paid $8.00 each for three bracelets
and sold each of them for $9.00.
a. Write an expression that represents the profit Althea made.
b. Evaluate the expression. Name the property used in each step.
Answers
Answer:
I have the same question
Step-by-step explanation:
message me if anyone helps I need it too
You spent $60 in supplies to sell shirts. You sell your shirts for $10
each. How many do you have to sell to make a profit?
Answers
Answer: Atleast 7
Step-by-step explanation:
In order to make a profit you have to amke more money than what you spent for supplies. So if each shirt is 10$ then you would have to sell atleast 7 shirts since if you do you will have made 70$, therefore a 10$ profit. If you sell 6 shirts, you make 60$, meaning you gain all your money back, but you do not make a profit.
the answer is 7
Step-by-step explanation:
7×10=70-60=10
Express this number in scientific notation.
31 billion
Answers
Hope this helps
Answer:
3.1 * 10^10
Step-by-step explanation:
we know 1 billion is 1,000,000,000
In scientific notation
1,000,000,000=1 * 10^9
To find the value of 31 Billion
Multiply the value of one billion for 31
so
31 * 1 * 10^9 = 31 * 10^9
= 3.1 * 10^10
3. Q3) What is the smallest number of identical squares
that will fit in this rectangle?
Answers
Answer:
Minimum 3 squares.
Step-by-step explanation:
Let the number of identical squares that will fit in the rectangle = x
Sum of the area of the squares = Area of the given rectangle
x(Side length of the square)²= (length of the rectangle × width of the rectangle)
x(S)²= (40 × 90)
x(S)²= 3600 cm²
For the minimum numbers of the squares,
If x = 1,
S = √3600 = 60 cm
But the length of the rectangle is 40 cm, so can't be fitted in the rectangle.
If x = 2,
2S² = 3600
S² = 1800
S = √1800
S = 42.43 cm
Since, length of the rectangle is 40 cm, so the given square can't be fitted in the rectangle.
If x = 3,
3S² = 3600
S² = 1200
S = √1200
= 34.64 cm
Therefore, minimum 3 squares can be fitted in the given rectangle.
Evaluate the expression 36.6 – 24 x 22 ÷ 3
Answers
Answer:
-139.4
Step-by-step explanation:
36.6 - 528 ÷ 3 = 36.6 - 176
= -139.4
VOTING BRAINLIEST 10 POINTS! Rectangle PQRS and its side lengths are shown in the figure.
Which side lengths belong to a rectangle that is NOT similar to rectangle PQRS?
A. 4.5 ft by 3 ft
B. 13.5 ft by 9 ft
C. 6 ft by 4 ft
D. 12 ft by 9 ft
Answers
Answer:
its 100% d.)
Step-by-step explanation:
plz mark me
Simplify 3^8 x 3^4 divided by 3^2 x 3^8 in index form
Answers
Here’s the working out;
Convert the equation `8x-4y=24` into slope intercept form. SHOW WORK TO SUPPORT.
Answers
8x-4y=24
sub 8x from both sides
-4y=24-8x
sub 24
-4y-24=-8x
add -4y
-24=4y=8x
Answer:
y=2x-6
Step-by-step explanation:
First isolate the variable. You're trying to find y, so you need to ultimately leave y by itself.
8x-4y=24
Subtract 8x from both sides to cancel out the 8.
You should have the equation below left:
-4y= -8x+24
Now, divide everything by negative for so that you are only left with the y.
You should have the equation below left.
y=2x-6
I hope this helped:)
PLEASE HELP!!!!!! what is the purpose of arithmetic and geometric sequences?
Answers
Answer:
An arithmetic sequence has a constant difference between each term. ... A geometric sequence has a constant ratio (multiplier) between each term. An example is: 2,4,8,16,32,… So to find the next term in the sequence we would multiply the previous term by 2.
Step-by-step explanation:
Give me a brainiest, please.
could someone please help me with this
Answers
Answer: i think it would be D
Step-by-step explanation:
The plan for a city park shows that the park is a quadrilateral with straight paths along the diagonals. For what values of the variables is the park a parallelogram? In this case, what are the values of x and y?
Answers
Picture relating to question has been attached below
Answer:
x = 10 ; y = 15
Step-by-step explanation:
The values for which the park is a parallelogram :
For the quadrilateral to be a parallelogram ; the diagonals will bisect each other such as :
VT = RV and UV = VS
From the diagram :
VT = 3x + 5y
RV = 6x + 3y
UV = 11y + 33 m
VS = 14y - 12 m
VT = RV and UV = VS
3x + 5y = 6x + 3y
3x - 6x = 3y - 5y
-3x = - 2y
3x = 2y
11y + 33 = 14y - 12
11y - 14y = - 12 - 33
-3y = - 45
y = 45/3
y = 15
From ;
3x = 2y
3x = 2*15
3x = 30
x = 30/3
x = 10
24x0. 6x1. 21x2. 11x5
Answers
Answer:
24
6
42
55
Step-by-step explanation:
Answer:
24×0=0
6×1=6
21×2=42
11×5=55
Plzzzzz give me Brainliest!!!!!
A study found that 23% of the cars manufactured last year were SUVs, 13% of the cars manufactured were white, and 2% of the cars manufactured were white SUVs.
To the nearest whole percent, what is the probability that a car is an SUV, given that it is white?
9%
15%
21%
57%
Answers
Answer:
15%
Step-by-step explanation:
Tessa likes to carve bird and cat figures out of wood. She has carved 4 times as many bird figures as cat figures. If Tessa has carved 24 bird figures, how many figures has she carved altogether?
Answers
Tessa carved a total of 30 figures including bird and cat figures.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
let, The number of cat figures is 'x'.
Given, She has carved 4 times as many bird figures as cat figures.
Therefore, 4x = 24.
x = 24/4.
x = 6.
So, Tesaa carved 6 cat figures and hence she carved a total of
24 + 6 = 30 figures.
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ1
A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.
Answers
Complete question :
A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming
Which statement best describes the depth of the fish
From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.
From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second.
From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.
From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.
Answer:
From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.
Step-by-step explanation:
Given the equation :
y = - 7x - 3
y = depth of fish in meters ; x = Number of seconds fish has been swimming
From the equation ; which is written according to the slope - intercept equation, ; y = mx + c
The slope, m = - 7 is the rate of change in y per unit of x
c = intercept, constant, value of y when x = 0
Hence, the true statement in the equation is :
-7 represents descent and meams fish descents at a rate of 7 m per second
At x = 0, the fish is at a depth of 3 m
Help please i’m terrible at maths !!
Answers
Kristen spent many days at the community pool last summer. She noticed that five out of fourteen flying insects she saw at the pool were mayflies. If Kristen saw fourteen flying insects at the pool one day, how many were mayflies? If, over several days, Kristen saw forty two flying insects, how many were mayflies? If, over a few weeks, Kristen saw thirty mayflies, how many flying insects did she see?
Answers
Answer:
(a) 5 mayflies
(b) 15 mayflies
(c) 84 flying flies
Step-by-step explanation:
Represent Mayflies with M and the total flying insects with F
The ratio can be represented as:
[tex]M : F = 5 : 14[/tex]
Solving (a):
[tex]F = 14[/tex]
Find M
Substitute 14 for F in [tex]M : F = 5 : 14[/tex]
[tex]M : 14 = 5 : 14[/tex]
Convert to fraction
[tex]\frac{M}{14} = \frac{5}{14}[/tex]
Multiply through by 14
[tex]14 * \frac{M}{14} = \frac{5}{14} * 14[/tex]
[tex]M = 5[/tex]
Solving (b):
[tex]F = 42[/tex]
Find M
Substitute 42 for F in [tex]M : F = 5 : 14[/tex]
[tex]M : 42 = 5 : 14[/tex]
Convert to fraction
[tex]\frac{M}{42} = \frac{5}{14}[/tex]
Multiply through by 42
[tex]42 * \frac{M}{42} = \frac{5}{14} * 42[/tex]
[tex]M = \frac{5}{14} * 42[/tex]
[tex]M=5*3[/tex]
[tex]M= 15[/tex]
Solving (c):
[tex]M = 30[/tex]
Find F
Substitute 30 for M in [tex]M : F = 5 : 14[/tex]
[tex]30 : F = 5 : 14[/tex]
Convert to fraction
[tex]\frac{F}{30} = \frac{14}{5}[/tex]
Multiply through by 30
[tex]30 * \frac{F}{30} = \frac{14}{5} * 30[/tex]
[tex]F = \frac{14}{5} * 30[/tex]
[tex]F = 14*6[/tex]
[tex]F = 84[/tex]
Ouglas made 122 dollars by washing cars to buy holiday presents. He decided to spend m dollars on a present for his mom and then use the remainder to buy presents for each of his 5 sisters. He will spend the same amount on each sister. Which expression represents how much he can spend on each sister?
Answers
5.2 divided by what =0.052 and 7,650 divided by what = 7.65
Answers
Answer:
a) 100, b) 1000
Step-by-step explanation:
First Answer:
5.2/x = 0.052
x = 5.2/0.052
x = 100
Second Answer:
7650/x = 7.65
x = 7650/7.65
x = 1000
Answer:
A). 100
B). 1000
Step-by-step explanation:
YOU CAN SEE EXPLANATION IN IMAGES.
HOPE THIS HELPS YOU...
There were 96 students and 34 adults at the concert. If 65% of the seats were filled, how many seats are in the auditoriom? Round your answer to the nearest whole percent
Answers
Answer: 200 seats
Step-by-step explanation:
There are 96 students and 34 adults in a concert. The total number of people present is therefore:
= 96 + 34
= 130 people
These 130 people only fill 65% of the seats. Assume the total number of seats is x:
130 = 65% * x
x = 130/65%
x = 200 seats
$9000 principal earning 5% compounded annually, after 6 yr
Answers
Answer:
the answer is
$12,130.64
0.110 is _____ than 0.450?
A. less
B. greater
C. equal
D. greatest
Answers
is -5(x-8)+2 equivalent to -5x-38
Answers
Answer:
Step-by-step explanation:
Yes!
Evaluate
2-8÷-2-3-12÷-6×-2
Answers
Answer:
7
Step-by-step explanation:
2-8÷-2-3-12÷-6×-2
2 - -4 - 3 - 2 x -2
2 + 4 + -3 - -4
6 + -3 + 4
3 + 4
7 :)
I need help!!
Simplify this complex fraction
Answers
URGENT! Can someone please help me?
Answers
Answer:
An equation of the circle with centre (5,7) and radius 2 is [tex]\mathbf{(x-5)^2+(x-7)^2=4}[/tex]
Option A is correct.
Step-by-step explanation:
A circle in the xy-plane has centre (5,7) and radius 2. Which of the following is an equation of the circle.
The equation of circle is of form: [tex](x-h)^2+(x-k)^2=r^2[/tex] where (h,k) is centre and r is radius.
We have centre (5,7) so, we have h = 5 and k = 7
We have radius = 2 so, r = 2
Putting values in the equation and finding the required equation:
[tex](x-h)^2+(x-k)^2=r^2\\(x-5)^2+(x-7)^2=(2)^2\\(x-5)^2+(x-7)^2=4[/tex]
So, an equation of the circle with centre (5,7) and radius 2 is [tex]\mathbf{(x-5)^2+(x-7)^2=4}[/tex]
Option A is correct.
Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular shows. One night the theater sells 578 tickets and collects $3365 in total ticket sales. Whích system best represents the situation?
Answers
Answer:
4x + 7y = 3365
x + y = 578
x = matinees
y = regular
Step-by-step explanation:
Given
$4 = matinees
$7 = regular
Total tickets = 578
Money collected = $3365
If one calls the amount of matinees that when "x" and the amount of regulars that went "y", then one can form the system;
4x + 7y = 3365
x + y = 578
Solving the system;
Multiply the second equation by (-4)
4x + 7y = 3365
-4x - 4y = -2312
Add the equations
4x + 7y = 3365
-4x -4y = -2312
3y = 1053
Inverse operations
3y = 1053
/3 /3
y = 351
x = 227
3y+2x-4+5x+7
Simplify
Answers
Answer:
3y+7x+3
Step-by-step explanation:
3y+2x+5x-4+
=3y+7x+3
solve the equation by completing the square.
4x(x + 6) = -40
Answers
Answer:
x = -6+-odmocnina36-40/2
Step-by-step explanation:
Answer:
x=10
Step-by-step explanation:
10 times -4 is -40 since if you multiply a negative number by a positive you get a negative
