Answer:
14. x = 6, y = 8
15. x = 5, y = 7
16. x = 7, y = 10
Step-by-step explanation:
For a parallelogram, the length across the point of intersection of its diagonals are equal.
So that;
14. PT = TR
QT = TS
So that,
2x = y + 4
2x - y = 4 ...........1
x + 2 = y
x - y = -2 ............. 2
subtract equation 2 from 1,
x = 6
substitute the value of x in equation 1,
2 x 6 - y = 4
y = 12 - 4
= 8
x = 6, y = 8
15. PT = TR
QT = TS
x + 2 = y
x - y = -2 .......... 1
2x = y + 3
2x - y = 3 ......... 2
Subtract equation 1 from 2
x = 5
substitute the value of x in equation 1
5 - y = -2
5 + 2 = y
y = 7
x = 5, y = 7
16. PT = TR
QT = TS
y = x + 3
x - y = -3 ......... 1
2y = 3x -1
3x - 2y = 1 ......... 2
Multiply equation 1 by 2 to have;
2x - 2y = -6 ....... 3
subtract equation 3 from 2
x = 7
substitute the value of x in equation 1
7 - y = -3
-y = -7 -3
-y = -10
multiply through by minus
y = 10
x = 7, y = 10
0.110 is _____ than 0.450?
A. less
B. greater
C. equal
D. greatest
I will give brainliest!!!!
Answer: A, 3 B, 2 C, 6
Step-by-step explanation:
solve the equation by completing the square.
4x(x + 6) = -40
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
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
Answer:
its 100% d.)
Step-by-step explanation:
plz mark me
Select the correct answer.
Simplify.
Answer:
is it m-9?Step-by-step explanation:
Answer:
its 1 /d
Step-by-step explanation:
6*3 is 18,
so its m^18 / m^18
which is 1
Have a good day!!!
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.
Answer:
I have the same question
Step-by-step explanation:
message me if anyone helps I need it too
WILL MARK BRAINLIST!!! only for correct answer
NEED CORRECT ANSWER ASAPPP
Answer:
C.11
Step-by-step explanation:
By drawing the line of best fit (using the other points) you can estimate how long 14 rows will take, which is 11 minutes.
A group of friends were working on a student film. They spent $256 on equipment, which was 32% of their total budget. What was the total budget for their student film?
Answer:
800
Step-by-step explanation:
I got it correct on delta math.
Rick is planting a garden in the shape of a semi-circle. He wants to pour top soil over the garden. Approximately how many square feet does he need to cover in soil?
Answer:
The equation of a line in the slope intercept form is expressed as
y = mx + c
Where
m represents slope
c represents y intercept
The formula for determining slope is expressed as
Slope, m = (y2 - y1)/(x2 - x1)
From the points given,
x1 = 0, y1 = 4
x2 = 2, y2 = 10
Slope, m = (10 - 4)/(2 - 0) = 6/2
Slope = 3
We would determine the y intercept, c by substituting m = 3, x = 0 and y = 4 into the slope intercept equation. It becomes
4 = 3 * 0 + c
c = 4
Thus, the equation of the line would be
y = 3x + 4
I need help!!
Simplify this complex fraction
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
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
Express this number in scientific notation.
31 billion
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
PLEASE ANSWER QUICKLY!
Answer:
D
Step-by-step explanation:
Answer
24481232
Step-by-step explanation: all you gtta do is do this do your work
The pic is the question! Please help
Answer:
93
Step-by-step explanation:
150×62%
150×62/100
15×62/10
=930/10
=93
Answer:
93 is your correct answer
Step-by-step explanation:
Casey's drill team squad was responsible for painting props for a performance at a band contest. The squad painted 18 props in 90 minutes. If they continued painting at this rate, how many props would they paint in 3 hours?
Answer: They would paint 36 props in 3 hours.
Step-by-step explanation:
Given: The squad painted 18 props in 90 minutes.
Time taken to paint each prop = [tex]\dfrac{90\text{ minutes}}{18}[/tex]
= 5 minutes
Now, 1 hour = 60 minutes
3 hours = 3 x 60 minute = 180 minutes
Total props painted in 3 hours = (180 )÷5
= 36
Hence, with same rate , they would paint 36 props in 3 hours.
Given f(x)=2x+1, find x if f(x)=17
Given f(x)=x+3, find x if f(x)=6
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%
Answer:
15%
Step-by-step explanation:
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.
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
PLZ: show work, solve for x:
x+11/-2=-8
x+11/-2 x -2= -8 x -2
x+11= 16
X+11-11=16-11
x = 5
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.
Answer:
7200
Step-by-step explanation:
100/(100-15) * 6120 = 7200
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?
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
Convert the equation `8x-4y=24` into slope intercept form. SHOW WORK TO SUPPORT.
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:)
Which expression is equivalent to -2(3x + 5y)?
Answer:
-6x-10y
Step-by-step explanation:
Multiply -2 by everything in parenthesis
whats 183.47 to the nearest 10th
Answer:
183.5
Step-by-step explanation:
To round 183.47 to the nearest tenth consider the hundredths’ value of 183.47, which is 7 and equal or more than 5. Therefore, the tenths value of 183.47 increases by 1 to 5.
183.47 rounded to the nearest tenth = 183.5
is -5(x-8)+2 equivalent to -5x-38
Answer:
Step-by-step explanation:
Yes!
3. Q3) What is the smallest number of identical squares
that will fit in this rectangle?
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.
Help please i’m terrible at maths !!
Evaluate
2-8÷-2-3-12÷-6×-2
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 :)
Evaluate the expression 36.6 – 24 x 22 ÷ 3
Answer:
-139.4
Step-by-step explanation:
36.6 - 528 ÷ 3 = 36.6 - 176
= -139.4
Simplify the expression:
4x2 + 9x + 14 + 4x2 - 2x
ASAP PLEASEEEEEEE
Answer:
8x²+7x+14
Step-by-step explanation:
4x²+4x²= 8x²
9x-2x= 7x
14=14
8x²+7x+14
hope it helps! please mark me brainliest
thank you! have a good day ahead