Let x be the length of Mateo's old bedroom, then its width is also x since it is a square.
The new bedroom's length is x + 2 and its width is x + 3. The area of the new bedroom is (x + 2)(x + 3).
We know that the increase in area is 46 ft^2, so we can write an equation:
(x + 2)(x + 3) - x^2 = 46
Expanding the left side of the equation and simplifying, we get:
x^2 + 5x - 40 = 0
Factoring, we get:
(x + 8)(x - 5) = 0
Since the dimensions of the bedroom must be positive, we can discard the negative solution x = -8. Therefore, the length of Mateo's old bedroom is x = 5 feet, and its dimensions are 5 ft by 5 ft.
Guys please help me.
“In a math game, a player chooses two numbers as described below.
First number is a mixed number between 2 and 10
Second number is 1,2,3,4, or 5.
Which statement describes the product of the two numbers a player chooses?
A:the product must be a whole number.
B:the product must be a value less than the second number.
C:the product must be a whole number greater than the second number.
D: the product must be a value greater than the second number.
Answer:
Step-by-step explanation:
please help me math sucks
Answer:
A=Owen brought no more than 15 apples.
B=Owen brought more than 10 bananas
C=Owen brought fewer than 5 cantaloupes
Step-by-step explanation:
A<15 This means that A is Less or equal to 15
=
b>10 means b is bigger than 10
c<5 means c is smaller than 5
that's the answer to the question
PLEASE HELP EASY will give brainliest only if its right. Thanks <3
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Translate the bars
3x - 4 = 6 - 2x
Add 4 to both sides
3x = 10 - 2x
Add 2x to both sides
5x = 10
Divide both sides by 5
X = 2
There is an equal amount of yellow, blue, green, and red marbles in a bag of 32 marbles. If Ed draws 4 marbles out of the bag with replacement, predict how many of the 4 marbles drawn should be blue.
1
4
8
32
Answer:
There are 32 marbles in the bag, and 1/4 of them are blue, so there are 32 * 1/4 = 8 blue marbles in the bag.
When Ed draws 4 marbles out of the bag with replacement, the probability of getting a blue marble on any given draw is 1/4.
The number of blue marbles Ed is expected to draw can be found by multiplying the probability of drawing a blue marble on each draw (1/4) by the number of draws (4):
Expected number of blue marbles = (1/4) * 4 = 1
Therefore, Ed is expected to draw 1 blue marble out of the 4 marbles drawn.
1) 1
Reasoning:
There are 4 different colors of marbles and 32 total marbles. 32/4 is 8, so there will be 8 of each at the start.
Because Ed picks 4 marbles, and there are 4 colors, we will divide 4 by 4 (4/4) and get 1.
Which amount is larger and by how much? A positive number a or the same number a decreased by 50% and then increased by 50% of the result?
Answer:
The answer will be positive
Step-by-step explanation:
please do at least one page -- urgent!!
Answer:
number 1 is 6.42
Step-by-step explanation:
I just used a calculator
Page 1:
Find the product.
1) Exact form- 45/7, Mixed Numbers form- 6/3/7
2) Exact form- 15/2, Mixed Numbers form- 7/1/2
3) Exact form- 33/13, Mixed Numbers form- 2/7/13
4) Exact form- 4
----------------------------------------------------------------------------------------------------------
Find the Quotient.
1) Exact form- 3
2) Exact form- 3/19
3) Exact form- 18/35
4) Exact form- 40/9, Mixed Numbers form- 4/4/9
----------------------------------------------------------------------------------------------------------
Page 2:
Find the Product.
1) Exact form- 3
2) Exact form- 15/14, Mixed Numbers form- 1/1/14
3) Exact form- 2/3
4) Exact form- 19/55
----------------------------------------------------------------------------------------------------------
Find the Product.
1) Exact form- 3/5
2) Exact form- 27/16, Mixed Numbers form- 1/11/16
3) Exact form- 22/7, Mixed Numbers form- 3/1/7
4) Exact form- 1/14
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
What's the surface area of this figure?
Answer:
488 centimeters2
Step-by-step explanation:
Surface Area = 2×(14×6 + 14×8 + 6×8) = 488 centimeters2
Subtract the given expressions.
a. (2x²+3y²+8)-(-4x²-5y²-8)
b. (9a²+18ab)-(4a²-12ab)
Grade 8
Answer:
As in the picture
Step-by-step explanation:
Have some close look on subtraction inside the small bracket!
If a perimetre of a rectangle is 38 cm and length is 12.5 cm What is the Area?
Answer:
81.25 cm^2
Step-by-step explanation:
perimeter = 2(l + w)
2(12.5 + w) = 38
12.5 + w = 38/2
w = 19 - 12.5
w = 6.5
Area = lw = 12.5 x 6.5 = 81.25
Answer:
81.25 cm²
Step-by-step explanation:
What is the area?The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.
To solve for the perimeter of a rectangle, the expression is:
(Let p = perimeter, l = length, w = width)
(l × 2) + (w × 2) = pTo solve for the width of a rectangle when given the perimeter, we can use this expression:
(p - [l × 2]) ÷ 2 = wInserting 38 in for 'p' and 12.5 for 'l':
(38 - [12.5 × 2]) ÷ 2 = 6.5To check our work, we can use the expression to solve for the perimeter:
(6.5 × 2) + (12.5 × 2) = 38Because the perimeter matches up with 38, we know the width of the rectangle is 6.5cm.
To solve for the area of a rectangle, we use this expression:
(Let a = area)
l × w = aInserting 12.5 in for 'l' and 6.5 in for 'w':
12.5 × 6.5 = 81.25Therefore, the area of the rectangle is 81.25 cm².
will give 50 points answer all
∩ Ф ³ Ф ∩ ⇒ answer s in image i attached .
in other word s . . .
1 ⇒ ∫ length = 9 ft .
2 ⇒ ∫ length = 15 ft .
3 ⇒ ∫ width = 5 ft .
4 ⇒ ∫ width = 0.1 ft .
If the ratio of yellow to green is 5:6 drops per container, how many containers will be made if there were 121 drops used? What would the new equivalent ratio be?
Answer
Step-by-step explanation:
At a store, the price of a box of chocolates is $12.50. During a sale, the price of the chocolates is $11. Find the percent (%) of discount during the sale.
geometry question atatched
In the given triangle, the measure of angle C is 32°
Calculating the measure of anglesFrom the question, we are to determine the value of angle C.
Let half of ∠IAB = a
and half of ∠IBA = b
Then,
a + b + 106° = 180° (Sum of angles in a triangle)
a + b = 74°
Also,
2a + 2b + ∠C = 180° (Sum of angles in a triangle)
2(a + b) + ∠C = 180°
2(74°) + ∠C = 180°
148° + ∠C = 180°
Subtract 148° from both sides
148° - 148° + ∠C = 180° - 148°
∠C = 32°
Hence, the measure of C is 32°
Learn more on Calculating the measure of angles here: https://brainly.com/question/29591630
#SPJ1
What is the name of this shape?
Answer:
seems like 2 sides parallel therefore it's trapezium
30 points to whoever gets this right <3 ( answer asap pleasee )
if m∠RXU = 62∘ , then what is m∠TXS
Answer:
Side a = 5Side b = 13Side c = 10.10327Angle ∠A = 0.35751 rad = 20.48361° = 20°29'1"Angle ∠B = 1.99869 rad = 114.51643° = 114°30'59"Angle ∠C = 0.7854 rad = 45° = 45°0'0"
Step-by-step explanation:
I am not sure.
Hi,would you please help me to solve this math problem?
How would the length of a circle change if:
a) the radius is increased 2 times
b) the radius is decreased 3 times
c) the diameter is increased 6 times?
Answer:
a) If the radius of a circle is increased 2 times, the length of the circle (circumference) will increase by a factor of 2π or approximately 6.28 times. This is because the formula for the circumference of a circle is C = 2πr, where r is the radius. If the radius is doubled, then the circumference will also be doubled.
b) If the radius of a circle is decreased 3 times, the length of the circle (circumference) will decrease by a factor of 6π or approximately 18.85 times. This is because the formula for the circumference of a circle is C = 2πr, where r is the radius. If the radius is divided by 3, then the circumference will also be divided by 3 and multiplied by 2π.
c) If the diameter of a circle is increased 6 times, the length of the circle (circumference) will increase by a factor of 6π or approximately 18.85 times. This is because the formula for the circumference of a circle is C = πd, where d is the diameter. If the diameter is multiplied by 6, then the circumference will also be multiplied by 6π
Step-by-step explanation:
pls Mark me As a brainlist
a) length of the circle increased by 2 times.
b) length of the circle decreased by 3 times.
c) length of the circle increased by 6 times.
Length of a circle that is the circumference of the circle is given by the formula = 2πr ( let's say C)
a) Given that the radius of the circle is increased by two times.
R = 2r
Required length of the circle = 2πR = 2π(2r) = 2×2πr = 2C
Hence, the length of the circle will be increased by 2 times.
b) Given that the radius is decreased by 3 times.
R= r/3
Required length of the circle = 2πR = 2π(r/3) = (2πr)/3 = C/3
Hence, the length of circle will be decreased by 3 times.
c) Given that the diameter of the circle is increased by 6 times.
D = 6d = 6×2r = 12r
Required length of the circle = πD= π×12r = 6(2πr) = 6C
Hence, the required length of circle will be increased by 6 times.
To learn more about the length of a circle :
https://brainly.com/question/1577784?referrer=searchResults
Help me please
Find the value of x
Answer:
x = 18 !
Step-by-step explanation:
We can see that ∠CHD is equal to ∠GHF as they are vertically opposite angles. We can also see that the angles next to ∠CHD should all add up to 90° as it is a right angle!
This means that we have to add 32 and 32 then minus that from 90...
32 + 32 = 6490 - 64 = 26As the angle is the same we are now left with...
x + 8 = 26We just have to solve this by taking away 8 from both sides!
x + 8 - 8 = x26 - 8 = 18x = 18Hope this helps, have a lovely day! :)
Answer:
The answer is 18°, but please read the explanation so you can solve this problem in the future.
Step-by-step explanation:
To find the angle of x, we have to look at the angles in the first quadrant (in which the lines C and D are) first. To begin, a right angle is 90°. We see that there are two angles of 32° within the right angle (90°). Let's find the sum of 32 and 32.
32 + 32 = 64
Now, we can subtract 64° from 90° to find the angle of CD.
90 - 64 = 26
The angle between C and D is 26°.
If we look below at lines G and F, we can see that they are directly across from lines C and D, so they have the same angles. The arrow pointing to the angle of GF, which we know is 26°, says that x + 8° = 26°. To find x, let's subtract 8 from 26.
26 - 8 = 18
x = 18°
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Moussa sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
27 visitors purchased no costume.
112 visitors purchased exactly one costume.
3 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase one or more costumes as a percent to the nearest whole number.
Step-by-step explanation
The probability that the next person will purchase more than one costume is 0.03How to solve for the probabilityWe have the following details to solve the problem withThe people that did not purchase any costume = 103Those that purchased exactly one costume = 161Those that purchased more than one costume = 7The total number of persons that we have here would be 103 + 161 + 7= 271We are to find the probability that the next would purchase more than 1 costume.This is given as:7 / 271 = 0.0258To the nearest hundredth = 0.03Hence, 0.03 is the probability that the next person is going to buy more than one costume.
Answer:
115/142 or 80.99%
Step-by-step explanation:
total people who visited the website --> 27+112+3 = 142
total people who bought one or more costume(s) --> 112+3 = 115
So, 115/142 or 80.99%
Hope this helped
What is the range of the following set of numbers?
114, 90, 83, 101, 97, 142, 117, 87, 72
70
59
45
42
Answer:70
Step-by-step explanation: To find range subtract the largest number (142) from the smallest number (72)
142-72=70
(PLEASE HELP!!!!!!!!)
Ryan has a checking account balance of -$25. Write an absolute value statement to show how much money Ryan owes the bank.
Answer:
the absolute value of -$25 is [25]
Step-by-step explanation:
no matter if the number is negative or positive the absolute value will be what the number is or how many numbers away from 0 it is
Example: absolute value of 30 is [30] and absolute value of -50 is [50]
Is 15 3/5 equal to 10 1/2? is it under or over?
help please xx
Answer:
Over
Step-by-step explanation:
help me I dont know how to do this
Answer:
yo tampoco uebeizbsibdi id uke iveibs id. dije I did one o. so d lvaon
please help me own this
u spe lled on wong but da bottom line wrong tho
Daksha would like to save at least $500 in 12 months. What is the minimum amount she must save each month in order to save at least $500?
Would you write an inequality or an equation?
Answer:
Step-by-step explanation:
bhhbhbhbhbhbhbhb
I WILL GIVE BRAINLIEST IF U ANSWER THIS CORRECTLY
PLS HELP MEE!!!
Answer:
B and D
Step-by-step explanation:
imagine that one variable is -3, and the other is -2. what will equal -5. -3+2 does not, so it isnt A, -2-3 does. so it is B. 3-2 doesnt, so it isnt C, -3+-2 does, so it is also D. 2+3 doesnt, so it isnt E.
Which equation represents the relationship between x and y shown in the table?
Answer:
D i think.
Step-by-step explanation:
Answer:
C [tex]\frac{1}{3} x[/tex]
Step-by-step explanation:
6/3 = 2
12/3 = 4
18/3 = 6
24/3 = 8
Then:
The equqtion that represents the relationship between x and y is:
y = x/3
y = (1/3) x
[tex]y = \frac{1}{3} x[/tex]
A laptop has a listed price of 691.99 before tax. If the sales tax rate is 7.25, find the total cost of the laptop with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
The total cost of the laptop with sales tax included is to the nearest cents is 747.24 dollars.
Step-by-step explanation:
Help Please I don't know what to do.
Answer:
1. Divide the larger scientific notation by the smaller scientific notation - divide coefficients and subtract exponents
2. Subtract by getting the same exponent to be like terms
3. Multiply by changing the number to scientific notation - multiply coefficients and add exponents
Step-by-step explanation:
PLEASE HELP THIS IS URGENT
Find the value of x.
Answer: 3
Step-by-step explanation:
Help pls expain due at 7:45
Linda received the following scores on her essay tests.
64, 65, 63, 66, 60, 65, 66, 68, 69, 66, 63
What is the mean of her scores?
66
65
65.5
64.5
Answer: 65
Step-by-step explanation:
Answer: 65
Explanation:
Mean is all the number added together, divided by the amount of numbers in the sequence.
64+65 63+ 66+60+65+66+68+69+66+63=715
715÷11=65