Answer:
Length = 12 feet, Width = 10 feet
Step-by-step explanation:
Let the length of the bedroom be 'x' ft and the width of the bedroom be 'y' ft.
We know that the perimeter of a rectangle is given by,
P=2(length+width)
P=2(x+y)
It is given that, the length of the bedroom is 2 more than the width, so,
x=y+2
Putting the values in the equation of perimeter we get,
44=2((y+2)+y)
44=2(2y+2)
44/2 =2y+2
22=2y+2
2y=22−2
y= 20/2 =10
Therefore, x=y+2=10+2=12
Hence, the length of the bedroom is 12 feet and the width of the bedroom is 10 feet.
It moves in a straight line starting from rest. It travels with a constant acceleration for 3 seconds reaching a velocity of 4 m/s. Then it slows down with a constant deceleration of 0.5 m/s squared for 4 seconds before stopping what is the total distance travelled by the toy car?
Answer:
The total distance traveled by the toy car is 14 m
Step-by-step explanation:
Given;
initial velocity of the car, u = 0
final velocity of the car, v = 4 m/s
time of motion, t₁ = 3 s
constant deceleration of the car, -a = 0.5 m/s²
time of motion, t₂ = 4 s
The total distance traveled by the car, is the area of triangle ABC (check the image uploaded).
[tex]Total \ distance = Area = \frac{1}{2} |BC| \times H\\\\Total \ distance = \frac{1}{2} \times 4\times 7\\\\Total \ distance = 14 \ m[/tex]
Carl is making the kite shown it has a perimeter of 120 inches the two longer sides of he kite are the same lengths write an equation that could be used to find the length of each longer sides
Answer:
Step-by-step explanation:
Carl is making the kite shown it has a perimeter of 120 inches the two longer sides of he kite are the same lengths write an equation that could be used to find the length of each longer sides
The formula for the perimeter of a kite = 2(a + b)
Where a and b where the side length of the kite
plz help with finding the diameter, thanks
Answer:
RULES:
Half of your diameter is ALWAYS your radius.
15 divided by 2 = 7.5 cm
6.5 divided by 2 = 3.25 in.
3 divided by 2 = 1.5 ft
8 divided by 2 = 4 m
Find the Missing Angle)
Answer:
110-degrees
Step-by-step explanation:
these are alternate exterior angles which are equal *congruent
Answer:
Since 110° and ? are alternate exterior angles, take the 110° and subtract 180°. Remember, 180° is a straight angle. So, 180°-110°= 70°.
The missing angle is 110°, I just solved for the remaining angle to help you figure it out more easily.
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
What is x?
8x+6=5x+30
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{8x+6=5x+30}[/tex]
[tex]\large\textsf{SUBTRACT 5x to BOTH SIDES}[/tex]
[tex]\mathsf{8x+6-5x=5x+30-5x}[/tex]
[tex]\large\text{Simplify above to get your new equation}\uparrow[/tex]
[tex]\rightarrow\mathsf{3x +6=30}[/tex]
[tex]\large\textsf{SUBTRACT 6 to BOTH SIDES}[/tex]
[tex]\mathsf{3x +6-6=30-6}[/tex]
[tex]\large\text{CANCEL out: \textsf{6 - 6} because that gives you 0}[/tex]
[tex]\large\text{KEEP: \textsf{30 - 6} because it helps you solve for your x value.}[/tex]
[tex]\mathsf{30-6=\bf 24}[/tex]
[tex]\large\text{New EQUATION: \textsf{3x = 24}}[/tex]
[tex]\mathsf{3x = 24}[/tex]
[tex]\large\textsf{DIVIDE 3 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{3x}{3}=\dfrac{24}{3}}[/tex]
[tex]\large\text{CANCEL out: }\mathsf{\dfrac{3}{3}}\large\text{ because it gives you 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{24}{3}}\large\text{ because it helps solve for x}[/tex]
[tex]\large\text{New EQUATION: }\mathsf{\dfrac{24}{3}=x}[/tex]
[tex]\mathsf{\dfrac{24}{3}=24\div3=\bf 8}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 8}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Help how many questions did you answer correctly
Answer:
450
Step-by-step explanation:
you divide 90 by 20 and times in by 100
On the way home from her friend's house Sandy skateboards 30% of the way, walks 1/2 of the way, and then skips the rest of the way. Which decimal number shows the portion of the distance Sandy skips?
Answer:
0.2
Step-by-step explanation:
Convert the walking to percent
[tex]\frac{1}{2} \times 100 = 50[/tex]
Add both skateboarding and walking
[tex]30\% + 50\%\\\\= 30 + 50\\\\= 80[/tex]
Now, subtract that from a whole percent
[tex]100 - 80 = 20\\\\20\%[/tex]
Convert it to a decimal
[tex]20\% = \frac{20}{100} \\\\=20 \div 100\\\\= 0.2[/tex]
Therefore, in decimal, 0.2 is the number that shows the portion of the distance Sandy skips.
Sketch the angle in standard form whose terminal side passes through the given point. Find the exact values for each trigonometric function.
this is how i solved it hopefully its correct
YALL PLEASE HELP 7TH GRADE MATH THIS MAKES NO SENSE
Answer:
2/3
Step-by-step explanation:
There are two 4s and two 1s on the spinner. There are a total of 6 spaces. Therefore, the probability of spinning a 4 or 1 is 4/6 percent. We can simplify 4/6 to 2/3. Therefore, the answer is 2/3
If this helps please mark as brainliest
Angle ABC measures 90 degrees. It has been split into two angles angle ABD and angle DBC. The measure of the two angles is in a ratio of 2:1. What are the measures for each angle.
Answer:
the angle measures are 60 and 30
The circumference of a circle is 11pi m (meters)
What is the area, in square meters?
Express your answer in terms of pi.
Answer:
10 square meters
Step-by-step explanation:
if ur good at graphs come here.
Answer:
Believe its D
Step-by-step explanation:
Answer:
(-6,-12) let me know if wrong
Step-by-step explanation:
Mark me brainliest plz
BJ purchased five candy bars ($.79 each) three sodas ($.169)each and four bags of chips ($.89 each). What percent of the total order was spent on sodas? 
Answer:
12.0%
Step-by-step explanation:
PLEASE I NEED HELP!!!!!!!!!
The equation y=25x represents Latanya's earnings in dollars and cents, y, for working x hours. Find the rate of change.
Answer:
25 dollars/hour
Step-by-step explanation:
The rate of change is 25 dollars/hour
Which ordered pair is a solution of the equation? −7x+3y=2
Answer:
(-2/7,2/3)
Step-by-step explanation:
Let's solve for x.
−7x+3y=2
Step 1: Add -3y to both sides.
−7x+3y+−3y=2+−3y
−7x=−3y+2
Step 2: Divide both sides by -7.
−7x/ −7 = −3y+2/ −7
x= 3/ 7 y+ −2/ 7
Answer:
x= 3/ 7 y+ −2/ 7
Let's solve for y.
−7x+3y=2
Step 1: Add 7x to both sides.
−7x+3y+7x=2+7x
3y=7x+2
Step 2: Divide both sides by 3.
3y/ 3 = 7x+2/ 3
y= 7/ 3 x+ 2/ 3
Answer:
y= 7/ 3 x+ 2/ 3
Greg has a piece of wire that is 72 inches in length. If 12 inches equals 1 foot, what is the length of wire in feet?
A. 84 feet
B. 60 feet
C. 6 feet
D. 864 feet
Answer:
72 divided by 12 = 6 feet
Step-by-step explanation:
Since there are 12 inches in ONE FOOT you have to divide the total number of inches by the inches that are in a foot which is 12.
What is the value of x? (3x + 50) Enter your answer in the box (6x - 10) X =
Answer:
x = 20
Step-by-step explanation:
(6x - 10) and (3x + 50) are vertical angles and are congruent, then
6x - 10 = 3x + 50 ( subtract 3x from both sides )
3x - 10 = 50 ( add 10 to both sides )
3x = 60 ( divide both sides by 3 )
x = 20
Noah wrote the expression 10m - 2c to represent the following scenario.
A bakery sells muffins for $2 each and cakes for $10 each. Write an expression that gives the amount of money, in
dollars, the bakery makes from selling m muffins and c cakes.
Explain why Noah's expression is incorrect. Provide the correct expression that represents the scenario.
Answer:
Noah's expression is wrong because he used the wrong coefficients for the variables, and he used a subtraction sign instead of an addition sign.
The correct expression is 2m + 10c
Step-by-step explanation:
Noah is incorrect because he used the wrong coefficients for both of the variables in the expression.
Since muffins are $2 each, and m is the number of muffins, the amount of money made from the muffins is 2m, not 10m.
Similarly, since cakes are $10 each, and c is the number of cakes, the amount of money made from the cakes is 10c, not 2c.
Noah is also incorrect because he used a subtraction sign instead of an addition sign. The amounts made from the muffins and cakes have to be added together.
Putting all of this together, the correct expression is 2m + 10c.
To make chocolate ice cream, you need about 3/8 pound of chocolate. How many pounds of chocolate will you need to make 4 batches of ice cream?
Answer:
1.5 pounds. it's simply 3/8 times 4
Answer:
1.5 pounds of chocolate
Step-by-step explanation:
A single batch of ice cream takes [tex]\frac{3}{8}[/tex] of a pound of chocolate. For every added batch, we add another [tex]\frac{3}{8}[/tex] pound, or multiply [tex]\frac{3}{8}[/tex] by the number of batches.
In this case, we are making 4 batches, so we need to multiply [tex]\frac{3}{8}[/tex] by 4.
[tex]4\cdot \frac{3}{8}[/tex]
[tex]\frac{4}{1}\cdot \frac{3}{8} =\frac{3}{2}[/tex]
[tex]\frac{3}{2}=1.5[/tex]
We need 1.5 pounds of chocolate to make 4 batches of ice cream.
Good luck ^^
The solid below was made by cutting a cone-shaped hole out of a cylinder. The surface area of the resulting composite solid is square cm. Write your answer in terms of pi.
*see attachement below for the diagram
Answer:
(252π + 20) cm²
Step-by-step explanation:
The surface area of the resulting solid = curved surface area of the cylinder + area of 1 base of the cylinder + 2(slant height of the cone)
✔️Curved surface area of cylinder = 2πrh
r = ½(12) = 6 cm
h = 18 cm
C.S.A = 2*π*6*18 = 216π cm²
✔️Area of 1 base = πr²
r = ½(12) = 6 cm
Area = π*6²
Area = 36π
✔️Slant height of the cone = 10 cm
✅The surface area of the resulting solid = 216π + 36π + 2(10)
= (252π + 20) cm²
PLEASE NO LINKS thank you :)
Answer:
D
Step-by-step explanation:
NEED HELP the answers are
42 days
30 days
180 days
24 days
365 days
6 days
This is confusing someone please help
Answer:
6 days
Step-by-step explanation:
The can relatively small... I would just say common sense.
hopefully this helps luv <3
Sarah uses 9.1 pints of blue paint and white paint to paint her bedroom walls. 4 5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answer:Amount of white paint used by Sarah =1.82 pints
Step-by-step explanation:
Amount of blue paint and white paint to paint her bedroom walls.=9.1 pints
Amount of blue paint used =4/5 x 9.1=7.28 pints
Amount of white paint used=Amount of blue paint and white paint to paint her bedroom walls -Amount of blue paint used
=9.1-7.28=1.82 pints
Solve:
2^x-3= 1/8
(and if you can, put a step by step. you don't have to though)
Answer:
[tex]x = 0[/tex]
Step-by-step explanation:
Write the number in exponential form with the base of 2:
[tex] {2}^{x - 3} = {2}^{ - 3} [/tex]
Since the bases are the same, set the exponents equals.
[tex]x - 3 = - 3[/tex]
Cancel equal terms on both sides of the equation:
[tex]x = 0[/tex]
[tex]2 {}^{x - 3} = \frac{1}{8} [/tex]
To Find value of 'x'
Solution[tex]2 {}^{x - 3} = \frac{1}{8} \\ \\ \implies2 {}^{x - 3} = 2 {}^{ - 3} \\ \\ \\ Since \: Bases \: Are \\ Equal \: We \: Need \\ To \: Evaluate \\ The \: Powers \\ \\ \implies \: x - 3 = - 3 \\ \\ \implies x = - 3 + 3 \\ \\ \implies \: x = 0[/tex]
[tex] \fbox \red{Hope This Helps You ❤}[/tex]
Find the Difference: 0.325-0.01
Answer:
= 0.315
Step-by-step explanation:
hope this helps :)
Marco is reconstructing his expenses for the past two weeks. Here are the records of his expenses:
Transaction
Cost ($)
T-shirt
20
Gas
22
Movie
13
Video game
39
Jeans
34
Hat
15
Books
31
Marco’s bank statement says that he has an ending balance of $81. What is Marco’s starting balance?
Answer:
255 - A
Step-by-step explanation:
81+31+15+34+39+13+22+20=255
Find the area!!!!!!! thanks
Eight friends want to play enough games of chess to be sure everyone plays everyone else. How many games will they have to play?
The number of games, the friends have to play is an illustration of combination.
They have to play 28 games to ensure that they all play
Given
[tex]n = 8[/tex] --- number of friends
[tex]r = 2[/tex] --- only two friends can play at a time
For everyone else to play, we will make use of the following combination formula;
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
So, we have:
[tex]^8C_2 = \frac{8!}{(8 - 2)!2!}[/tex]
[tex]^8C_2 = \frac{8!}{6!2!}[/tex]
Expand
[tex]^8C_2 = \frac{8 \times 7 \times 6!}{6! \times 2 \times 1}[/tex]
[tex]^8C_2 = \frac{8 \times 7}{2 \times 1}[/tex]
[tex]^8C_2 = 4 \times 7[/tex]
[tex]^8C_2 = 28[/tex]
Hence, the 8 friends have to play 28 games to ensure that everyone else plays
Read more about combinations at:
https://brainly.com/question/8018593
Why is the average approaching 3.5?
There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
To find the average approaching 3.5, we need to use the concept of the mean or expected value.
The expected value of a random variable is the long-run average value that we would expect to get if we repeat an experiment many times.
In this case, we can consider each roll of a die as an experiment, and the value of the die as the random variable.
Assuming that the die is fair and has six equally likely outcomes, each with a value between 1 and 6, the expected value of the die is:
E(X) = (1 + 2 + 3 + 4 + 5 + 6)/6 = 3.5
Therefore, if we roll the die many times, we would expect the long-run average value to be 3.5.
Now, if we have rolled the die 3200 times and the average so far is 3.51, we can calculate the sum of all the values rolled so far as:
Sum = (Average so far) x (Number of rolls) = 3.51 x 3200 = 11232
To find the average approaching 3.5, we need to calculate the average of the remaining rolls. Let's call the number of remaining rolls "n". Then we have:
Average approaching 3.5 = (Sum of remaining rolls) / n
We know that the total number of rolls is 3200, so the number of remaining rolls is:
n = 3200 - (number of rolls already rolled)
n = 3200 - 3200 = 0
Therefore,
There are no remaining rolls, and the average approaching 3.5 is simply the current average of 3.51.
Learn more about mean here:
https://brainly.com/question/23263573
#SPJ2
Help- please
The school that Scott goes to is selling tickets to a play. On the first day of ticket sales the school sold 9 adult tickets and 4 student tickets for a total of $177. The school took in $73 on the second day by selling 1 adult ticket and 4 student tickets. Find the price of an adult ticket and the price of a student ticket.
Price of an adult ticket $
Price of a child's ticket $
Answer:
jvjkcjkcjcljf
Step-by-step explanation:
5655+56835