Answers
For the given rectangles, [tex]f=4[/tex] cm and [tex]g = 6[/tex] cm.
Step-by-step explanation:
Step 1:
The area of a rectangle is calculated by multiplying its length with its width. Both the rectangles APQD and PBCQ have the same width.
The second rectangle PBCQ has a length of 9 cm. Its area is determined by subtracting the area of APQD from the area of ABCD.
The area of the rectangle PQBC [tex]= 60 - 24 = 36[/tex] [tex]cm^{2}[/tex].
Step 2:
The length of rectangle PBCQ is 9 cm and the area is 36 [tex]cm^{2}[/tex] so the width can be determined.
[tex]Width = \frac{area}{length} = \frac{36}{9} = 4[/tex] cm. So [tex]f=4[/tex] cm.
Step 3:
The width of the rectangle APQD is also 4cm.
The width of the rectangle APQD is 4 cm and the area is 24 [tex]cm^{2}[/tex].
[tex]length = \frac{area}{width} = \frac{24}{4} = 6[/tex] cm. So [tex]g = 6[/tex] cm.
Related Questions
A person buys 3 shirts for 42.00 how much would 8 shirts costs at that same price
Answers
Answer:
$112
Step-by-step explanation:
£2300 is invested for 4 years at 5% per year simple interest. Work out the total interest
Answers
Answer: £460
Step-by-step explanation:
Use this formula to find the total interest [tex]I=\frac{P*R*T}{100}[/tex]
I stands for interest, P is principal, R is rate, and T is time.
Principle = £2300
Rate = 5%
Time = 4 years
[tex]\frac{2,300*5*4}{100} =\frac{46,000}{100} =460[/tex]
Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! :-)
- Cutiepatutie ☺❀❤
Answer:
£460
Step-by-step explanation:
Simple interest =PRT/100
Where P = principal
R= rate
T = Time
Given
P= £2300
T= 4yrs
R = 5%
Interest = 2300 x 5 x 4/100
Multiply through
Interest = 46000/100
Interest = £460
Find the sum or difference. Write your answer in the simplest form. 5 1/3 + 6 1/6
Answers
Answer:
The answer for addition one is 11 1/2. The answer for subtraction would be -5/6.
Hope this helps. Can I please get brainliest if possible?
The answer you are looking for is 11 and 1/2.
To find this answer, you must first add the fractions together. Before you do so, you must make sure they have a common denominator. So, multiply 1/3 by 2/2 to get 2/6. Now, add 2/6 and 1/6 to get 3/6. 3/6 simplified (divided by 3/3) is 1/2.
Next, add the whole numbers. 5 + 6 is 11. Thus making your final answer 11 and 1/2.
I hope this helps!
Is 5(2x-3y) and 10x-3y equivalent?
Answers
Answer:
No
Step-by-step explanation:
Apply the distributive property to 5(2x - 3y):
Multiply 5 by each term inside the parentheses.
5(2x - 3y) = 10x - 15y
The other expression is 10x - 10y.
The terms 10x in both expressions are equal.
Since the term -15y is not equal to the term -10y, the expressions are not equivalent.
write an expression that represents the edge length of jewelry box
Answers
Answer:
The cubed-root of v (/v)
Step-by-step explanation:
Like your work on the second question illustrated, the cubed root of v (which is 216) is your expression for the edge length of the box in inches.
Hope this helps!
Step-by-step explanation:
Part A
Since volume of jewelry box is v cubic inches
Therefore,
Answer: Length of edge = v inches
Part B
Answer: 6 inches
fraction between - 3/4 and - 1/3
Answers
-6.5/12 which turns into -13/24.
So, -13/24 is the fraction between -3/4 and -1/3.
I hope this helps!
You have 20 quarters. You find 40% more quarters in your room. Then you go shopping and spend 50% of the total number of quarters. Write a expression that represents the total number of quarters you take with you when you go shopping. How much money do you have left
Answers
Answer:
a) 28 quarters
b) 14 quarters
Step-by-step explanation:
We are given the following in the question:
Number of quarters = 20 quarters
Number of quarters in room = 40%
Total number of quarter in room =
[tex]=40\%\times (20)\\\\=\dfrac{40}{100}\times 20\\\\=8[/tex]
Thus, the total quarters taken to shopping =
[tex]=20 +40\%\times (20)\\\\=20+8\\=28[/tex]
Thus, 28 quarters were taken to shopping.
Quarter spent on shopping = 50%
Total number of quarter spent in shopping =
[tex]=50\%\times (28)\\\\=\dfrac{50}{100}\times 28\\\\=14[/tex]
Money left =
Money taken for shopping - Money spent
[tex]= 28-14\\=14[/tex]
Thus, we are left with 14 quarters after shopping.
Let f(x)= x2 - 14 and g(x) = 6-X.
Find (fq)(7).
Answers
Answer:
[tex](fg)(7) = - 35[/tex]
Step-by-step explanation:
The given functions are:
[tex]f(x) = {x}^{2} - 14[/tex]
and
[tex]g(x) = 6 - x[/tex]
We want to to find
[tex](fg)(7)[/tex]
Note that:
[tex](fg)(x) = f(x) \times g(x)[/tex]
We substitute the functions to obtain:
[tex](fg)(x) = ( {x}^{2} -1 4 ) \times (6 - x)[/tex]
We now substitute x=7, to get:
[tex](fg)(7) = ( {7}^{2} -1 4 ) \times (6 - 7)[/tex]
This implies that
[tex](fg)(7) =( 49-1 4 ) \times (6 - 7)[/tex]
[tex](fg)(7) = 35 \times - 1 = - 35[/tex]
Which statements are true?
Select each correct answer.
a. 30x4−12x3=6x3(5x−2)
b. 4x2+10x=2x(2x+5)
c. 100x3+5=5x3(20x+1)
d. 8x3−6x=2x3(4−3x3)
Answers
Answer:
30x^4−12x^3=6x^3(5x−2) = True
4x^2+10x=2x(2x+5) = True
100x^3+5=5x^3(20x+1) = False
8x^3−6x=2x^3(4−3x3) = False
Step-by-step explanation:
The statements which are true are 30x4−12x3=6x3(5x−2) , 4x2+10x=2x(2x+5) and 100x3+5=5x3(20x+1)
To determine which of the statements are true, we can simplify each equation and compare.
Option a :
30x4−12x3=6x3(5x−2): Factoring out the common term we can see this equation is true.
Option b:
4x2+10x=2x(2x+5): After simplifying both sides we find that 2x(2x + 5) = 4x2 + 10x, so statement (b) is true.
Option c:
100x3+5=5x3(20x+1): Attempt to simplify this equation as 5x3(20x + 1). Since this simplification holds, statement (c) is also true.
Option d:
8x3−6x=2x3(4−3x3): Simplifying the right side does not give us the left side; thus, statement (d) is false. The correct form would be 2x(4x2 - 3), assuming a typo in exponent notation.
Tom rented a truck for one day. There was a base fee of 19.95 , and there was an additional charge of 85 cents for each mile driven. Tom had to pay 216.30 when he returned the truck. For how many miles did he drive the truck?
Answers
Answer:
231 miles.
Step-by-step explanation:
Tom rented a truck with a base fee of 19.95. You will subtract this from the total since you just want to get the mileage.
Tom is getting charged .85 cents per mile driven.
Tom payed 216.30 subtotal minus the 19.95 base fee since we are trying to only see how many miles he drove.
(216.30-19.95=196.35) This will be total for each mile. All we need to do is divide to get the total of miles
(196.35÷.85= 231)
231 is the number of miles Tom drove.
Let event A = the place is a city let B = the place is in North America what is P(A and B)
A. 5/7
B. 3/7
C.4/7
D.2/7
Answers
Answer:
D. 2/7
Step-by-step explanation:
We assume that the intention is that one of the places is chosen at random from the list of 7 places.
2 of those are cities in North America, so the probability that a place randomly chosen from this list is a city in North America is ...
P(A & B) = 2/7
Answer: 4/7
Step-by-step explanation:
Jacob copies 30% of a document. He copies 8 pages. Write the number of pages in the
document.
Answers
Answer:
27
Step-by-step explanation:
Number of documentsjacob copies 30% of a document which is 8 pages
we can solve this using cross multiplication
30 % : 8
100% : x
30%x = 100%*8
30% x = 8
x = 8/ 30%
x = 26.667
to 2sf
number of pages in the documents 27What is the slope intercept form of 11x+3y=-32
Answers
Answer:
y=−113x−323
Step-by-step explanation:
there u go
I need help fast (26 POINTS!!)
Answers
4x5=20
Then you subtract 3 since he ate 3
20-3=17
And that’s your answer
Which of the following is the solution to the compound inequality below? 5+ x >3 or 6x +1 <-29
Answers
The solution to the compound inequality is x > -2 and x < -5, or (-∞, -5) ∪ (-2, ∞).
Explanation:To find the solution to the compound inequality, we need to solve the individual inequalities separately and then find the intersection of their solution sets.
First, solve the inequality 5 + x > 3:5 + x > 3
x > 3 - 5
x > -2Next, solve the inequality 6x + 1 < -29:
6x + 1 < -29
6x < -29 - 1
6x < -30
x < -5
The solution to the compound inequality is the intersection of the solution sets of the individual inequalities, so the solution is x > -2 and x < -5. To express this in interval notation, we write (-∞, -5) ∪ (-2, ∞).
Learn more about Compound inequality here:https://brainly.com/question/20296065
#SPJ12
Two cylinders are similar. The volume of the larger cylinder is 343ft3 and the volume of the smaller cylinder is 125ft3. The height of the smaller cylinder is 5ft. What is the height of the larger cylinder? Enter your answer in the box.
Answers
Answer:
The answer would be 7ft.
Step-by-step explanation:
Let the radius of the cylinder be rft. and its height be hft. Again the radius of the larger cylinder is R ft and its height is H ft. Given h = 5 ft.
As the cylinders are similar we can say [tex]R/r[/tex] = [tex]H/h[/tex]
Now the volume of the smaller cylinder is πr²h = 125
and that of larger one is πR²H = 343
SO πR²H/πr²h = 343/125
⇒ H²/h² × H/h = 343/125
⇒ H³/h³ = 7³/5³
⇒ H/h = 7/5
⇒ H = 7/5 × h = 7/5 × 5 = 7ft
Hope this Helped:)
The linear equation y=2x represents the cost y for x pounds of apples.Which ordered pair lies on the graph of the equation?
Answers
Answer:(1,2), (2,4), (3,6), and alot more here is the graph so you can see!
Step-by-step explanation: hope this helps have a great day!
a hammer that normally sells for $24 is on sell for $12. what percentage is the discount?
Answers
Answer:
50%
Step-by-step explanation:
You can figure out the percentage that it is off by diving the price it is not at (12) by the full amount (24) and then multiplying it by 100 because it is a percent.
(12/24)= 0.5
(0.5)*(100)= 50%
4x+6=2x+10 find value of x makes equation true
Answers
Answer:
x = 2
Step-by-step explanation:
[tex]4x + 6 = 2x + 10 \\ \\ 4x - 2x = 10 - 6 \\ \\ 2x = 4 \\ \\ x = \frac{4}{2} \\ \\ x = 2[/tex]
Your graphing the speed your car goes on the interstate from the time you enter the ramp until you arrive at the next exit ramp 6 miles away. The speed of the highway is 70 mph. The X axis represents time and Y represents speed. The graph has five tick marks on the X axis and 10 tick marks on the Y axis. What would be a good scale for each axis?
Answers
Answer:
1 minute on the x-axis; 10 mph on the y-axis
Step-by-step explanation:
The distance between exit ramps is less than 6 miles and since you are traveling at 70 mph on the highway you should get there in less than 5 mins, so the scale on the x-axis should be 1 minute. Since you have 10 tick marks on the y-axis and will be going at a speed of 70 mph at some point, the scale on the y-axis should be 10 mph (100 mph total). A good scale would be 1 minute on the x-axis; 10 mph on the y-axis.
Answer:
1 minute on the x-axis; 10 mph on the y-axis
Step-by-step explanation:
Jill drove the 200 miles to Cincinnati at an average speed of 10 miles per hour faster than her usual average speed. If she completed the trip in 1 hour less than usual, what is her usual driving speed, in miles per hour
Answers
Let [tex]v[/tex] be the usual speed, and [tex]t[/tex] be the usual time.
Following the equation [tex]s=vt[/tex], where s is the space, v is the velocity and t is time, we know that usually we have
[tex]200=vt[/tex]
But this time we were 10mph faster and it took one hour less, so we have
[tex]200=(v+10)(t-1)[/tex]
Since both right hand sides equal 200, they must equal each other:
[tex]vt=(v+10)(t-1)=vt+10t-v-10 \iff 10t-v-10=0 \iff v=10t-10[/tex]
Plug this value in the first equation and we have
[tex]200=vt=(10t-10)t \iff 10t^2-10t-200=0[/tex]
This equation has solutions [tex]t=-4,\quad t=5[/tex]. We can only accept positive solutions, so we have t=5. We finally deduce, again from the first equation,
[tex]200=5v \iff v=\dfrac{200}{5}=40[/tex]
Vanessa's cell phone company charges $45 for a monthly fee and $0.03 for each text sent If Vanessa's bill is $76.23, how many texts did Vanessa send?
A.)94
B.)141
C.)1,041
D.)3,974
Answers
Answer:
C
Step-by-step explanation:
I chose C and got it right.
Solve y = 1/-25 x 8 + 175
Answers
Answer:
174.68
Step-by-step explanation:
Use PEMDAS. First, multiply 1/-25 by 8. (-8/25 or-.32)
Then, add 175 and y should= 174.68.
Use the distributive property to write an expression that is equivalent to each given expression.
-3(2x - 4)
Answers
Answer:-6x+12
Step-by-step explanation:-3 • 2x = -6x
-3 • -4 = 12. Distribute the -3 to both numbers in the parentheses
What’s the answer to this?
Answers
Answer:
P'(-3, 5)
Step-by-step explanation:
The transformation for a 90° rotation CCW is ...
(x, y) ⇒ (-y, x)
(5, 3) ⇒ (-3, 5)
The coordinates of the rotated point are (-3, 5).
which shape does NOT have perpendicular
perpendicular lines? Mark your answer.
Answers
Answer:
Perpendicular lines are lines that cross one another at a 90° angle. They have slopes that are opposite reciprocals of one another. Unlike parallel lines that never touch, perpendicular lines must intersect.
Therefore, the shape with 2 lines that don't intersect/touch each other, is the shape that does not have perpendicular lines.
the root of quadratic equation are (3-√3) and (3+√3). find its equation
Answers
Answer: [tex]x^{2} - 6x +6 = 0[/tex]
Step-by-step explanation:
The formula for finding quadratic equation is given as :
[tex]x^{2}[/tex] - sum of roots[tex](x)[/tex] + product of roots = 0
sum of roots implies :
(3-√3)+(3+√3) =6
product of roots implies :
(3-√3) x (3+√3) = 9 +[tex]3\sqrt{3}[/tex] - [tex]3\sqrt{3}[/tex] - 3
(3-√3) x (3+√3) = 6
substituting into the equation we have:
[tex]x^{2} - 6x +6 = 0[/tex]
A mother gives birth to a 9 pound baby. Every 4 months, the baby gains 2 pounds.
If x is the age of the baby in months, then y is the weight of the baby in pounds.
Find an equation of a line in the form y = mx + b that describes the baby's weight.
Answers
Answer:
y=2/4x+9
Step-by-step explanation:
a bag is filled with 191 silver coins and 33 gold coins for what is the theoretical probability of pulling out a silver coin
Answers
Answer:
191/224
Step-by-step explanation:
1991+33= 224
191/224
Answer:
191/240\
Step-by-step explanation:
If 3 hamburgers cost $4.20, then how much does 1 hamburger cost?
Answers
Answer:
$1.40
Step-by-step explanation:
Divide 4.20 by 3.
Answer:
$1.4
Step-by-step explanation:
The price of one hamburger will be equal to the total price of the hamburgers divided by the number of hamburgers .
Therefore $4.20/3
$1.4
So each hamburger cost $1.4