A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches. which equation can be used to find its width, w? 2w(2w 5) = 50 2w(w 5) = 50 w(2w 5) = 50 w(w 5) = 50
The equation of the area of the rectangle is w(2w + 5) = 50. Then the correct option is C.
What is a rectangle?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.
A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches.
Let the width of the rectangle be w, then the length of the rectangle will be (2w + 5).
Then the area of the rectangle is given as
Area = l × w
Then we have
w(2w + 5) = 50
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What are prime numbers used for?
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order.
How many hours will it take them to mow their lawn?
Answer:
C. 2
Step-by-step explanation:
h/6 + h/3 = 1
h/6 + 2h/6 = 1
3h/6 = 1
3h = 6
h = 2
An onion soup recipe calls for 3 2/3 cups of chopped onions Katrina has already chopped 1 1/3 cups of onions. She wants to know how many more cups she needs to chop. PLLLLS HELP ILL BE UR BESTIE!!
Answer:
2 1/3 cups of onions
Step-by-step explanation:
3 2/3-1 1/3= 2 1/3 cups
what is the distance between (4,7) and (-3,9)
Answer:
7 to the left, and up 2.
Step-by-step explanation:
Evaluate:
-3|x|+2x-1 if x=-5
Which expression represents the volume of the composite figure? (2)(4.4)(5) (2)(4.4)(3.9) (2)(4.4)(5) – (2)(4.4)(3.9) one-half(2)(4.4)(5) – one-third (one-half)(2)(4.4)(3.9) one-half(2)(4.4)(5) one-third (one-half)(2)(4.4)(3.9)
The expression that represents the volume of the composite figure is (8*6*4)+ 1/3 * (8*6*6).
What will be the volume of the composite figure?The volume of the composite figure will be the sum of the volume of the cube and the volume of the pyramid.
Volume of the cube = length*breadth*height
So, the volume of the cube = 8*6*4
The volume of the pyramid = 1/3 *(area of the base) * (height of the pyramid)
Area of the base of the pyramid = 8*6
Height of the pyramid = total height - height of the cube
Height of the pyramid = 10-4 =6
So, the volume of the pyramid = 1/3 * 8*6*6
So, total volume = (8*6*4)+ 1/3 * (8*6*6)
Hence, the expression that represents the volume of the composite figure is (8*6*4)+ 1/3 * (8*6*6).
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Answer:
D. One-half(2)(4.4)(5) + One-third (One-half)(2)(4.4)(3.9)
Step-by-step explanation:
E2020
Your homeowners policy has a premium of $150, a deductible of $5000, and a limit of $300,000. Your home suffers $500,000 in damages. How much will you pay? How much will your insurance pay?
He will pay $200,000.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Your homeowners policy has a premium of $150, a deductible of $5000, and a limit of $300,000.
And, Your home suffers $500,000 in damages.
Now,
Since, Homeowners policy has a premium of $150, So we can pay the amount = 12 x 150
= $1,800
And, Homeowners policy has a deductible of $5000.
Then, The remain amount = $500,000 - $5,000
= $495,000
Since, The limit of the policy = $300,000
Hence, The remain amount = $495,000 - $300,000
= $195,000
After including the deductible amount we get;
Deductible amount = $195,000 + $5,000
= $200,000
Thus, He will pay $200,000.
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need help with this question
Answer:
f'(0)= -2/5
Step-by-step explanation:
What is the area of parallelogram ABCD?
Will mark brainlyest!!!
The two triangles are similar.
What is the value of x?
Enter your answer in the box.
X=
Answer:
Step-by-step explanation:
In similar triangles, the corresponding sides are in same proportion.
[tex]\sf \dfrac{4x}{3x+1}=\dfrac{15}{12}[/tex]
Cross multiply,
4x*12 = 15*(3x + 1)
48x = 15*3x + 15*1
48x = 45x + 15
48x -45x = 15
3x = 15
x = 15/3
x = 5
x-3 and 2x-1 are factors of 2x^3-px^2-2qx+q. Find the values of p and q.
Answer:
p =1
q = 9
Step-by-step explanation:
f(x) = 2x³ - px² + 2qx + q
(x - 3) is a factor of f(x)
⇒f(3) = 0
2(3)³ - p*3² - 2q*3 +q = 0
2*27 - 9p - 6q + q = 0
54 - 9p - 5q = 0
-9p - 5q = -54 -------------------(I)
(2x - 1) is a factor of f(x)
2x - 1 = 0
2x = 1
[tex]\st x = \dfrac{1}{2}[/tex]
f(1/2) = 0
[tex]2*(\dfrac{1}{2})^{3}-p*(\dfrac{1}{2})^{2}-2q*\dfrac{1}{2}+q=0\\\\2*\dfrac{1}{8}-p*\dfrac{1}{4}-q+q = 0\\\\\dfrac{1}{4}-\dfrac{1}{4}p =0\\\\[Multiply the entire equation by 4]\\\\4*\dfrac{1}{4}-4*\dfrac{1}{4}p=0\\\\[/tex]
1 - p = 0
-p = -1
p = 1
Substitute p =1 in equation (I)
-9*1 - 5q = -54
-9 - 5q = -54
-5q = -54 + 9
-5q = -45
q = -45/(-5)
q = 9
In ΔABC, AB=24.9, AC=15.8, and BC=24.4. What is m∠A?
Answer:
approximately 71.50215
Step-by-step explanation:
please teach me how to do this
Answer:
7.2
Step-by-step explanation:
We know that the radius is always the same throughout the entire circle. That is, any line going from the center of the circle to the edges = radius. In this problem, radius = 20.9 and so does the other 4 lines going from the center of the circle to the edge.
Since there is a right angle, we know that both triangles are right triangles where hypotenuse, c = 20.9 and b = 19.6. To solve for x, use pythagorean theorem:
a² + b² = c²
x² + 19.6² = 20.9²
x² + 384.16 = 436.81
x = √(436.81 - 384.16)
x = √52.65
x ≈ 7.256
Hope this helps!
Over a year, Andy placed 836 phone calls. When he looked at his yearly call log, he noticed that all the calls went to 11 phone numbers.
If he made the same number of calls to each of the numbers, how many times did he call each number?
87
76
847
912
By taking the quotient between the number of calls and the number of phone numbers, we see that each number was called 76 times.
How many times did he call each number?
We need to find the quotient between the total number of calls and the total number of phone numbers called.
We know that the total number of calls is 836, while it is equally distributed between 11 phone numbers.
The number of times that each of these numbers was called is given by:
N = 836/11 = 76
This means that he calls each number 76 times.
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Without buying points, a monthly mortgage payment will be $1,250. buying 1 point at closing would reduce the payment to $1,236. to the nearest year, how long would it take to break even by buying 1 point, with a $100,000 mortgage? a. 5 years b. 6 years c. 7 years d. 8 years
Without buying points, the time that will be taken to break even will be 6 years.
How to calculate break-even?The monthly mortgage payment will be $1,250. Buying 1 point at closing would reduce the payment to $1,236.
1 point= $1000
The time taken will be:
Monthly savings = 4250/1236 = 14
Time taken = 7
1000/14 = 71.4 months
71.4/12=5.95 years = ~6 years
Thus, The time that will be taken to break even will be 6 years.
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Answer: 6
Step-by-step explanation:
The surface area of a rectangular-prism-shaped skyscraper is 1,115,000 m2. What is the surface area of a similar model that has a scale factor of 1/800? Round your answer to the nearest tenth.
The surface area of a similar rectangular-prism-shaped skyscraper that has a scale factor of 1/800 would be equal to 1.7 meter.
The surface area of a rectangular prism.Mathematically, the surface area of a rectangular-prism is given by this formula:
A = 2(wl + hl + hw)
Where:
A is the surface area.l is the length.w is the width.h is the height.Given the following data:
Surface area of rectangular prism = 1,115,000 m²
Scale factor = 1/800
The length, height and width of the similar model would be 1/800 the original rectangular-prism-shaped skyscraper.
Substituting the given parameters into the formula, we have;
Surface area = 1,115,000 × 1/800 × 1/800
Surface area = 1.7 meter.
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When dealing with an equation containing two variables, we can put the graph of the equation on the coordinate plane because the number of variables is equal to the number of dimensions that are needed to properly graph the solution. Each axis on a graph represents one variable in the equation being graphed. What would you use to graph the solution to an equation with one variable? What would you use to graph the solution to an equation with three variables? Could you graph an equation containing more than four variables? Explain.
If you were given the graph of an equation with two variables on a coordinate plane, what would happen to the graph if all the y-values were increased by 1? What would happen to the graph if all the x-values were increased by 1? What would happen to the graph if all the y-values were multiplied by 2 or by 1/2? Explain
ill mark the brainliest if the answer isnt a copy and paste from the other answers
Answer:
Step-by-step explanation:
See attached image.
1. What would you use to graph the solution to an equation with one variable?
I picked an example equation, y=2x+3, to demonstrate the impacts of changing condions. It is the blue line. I'm not sure how to answer the quesion "What would you use . . .", but my response would be "I would use DESMOS to graph the solution." It is free, efficient, and very flexible. It can handle multiple equations and a variety of functions.
2. What would happen to the graph if all the y-values were increased by 1?
I added 1 to the right side of the equation to increase all the y values by 1. It is the black line. All points are raised by 1.
3. What would happen to the graph if all the x-values were increased by 1?
I added +1 to each x value, shown as the red line. All points are increased by 2 over the original line.
4. What would happen to the graph if all the y-values were multiplied by 2 or by 1/2?
See Increeases2, attached. The slopes of the lines are doubled when the y values are doubled, and decreased by (1/2) when they are multiplied by (1/2). The y intercepts are also doubled or halved, respectively.
Help me please I give brainest to who ever get right
Two-hundred people are at a wedding. The dinner tables seat 10 people. How many tables are needed to seat all of the guests?
Answer:
20 tables
Step-by-step explanation:
200 guests, 10 guests per table. You need to divide 200 people into groups of ten. Therefore, you should form the equation 200/10. The answer would be 20.
Answer:
Required tables = [tex]200 \div 10 = \bf\: 20 \: tables[/tex]
What is the area of a circle whose radius is 4 ft?
Question 2 options:
16πft2
64πft2
8πft2
4πft2
Answer:
16pi ft^2
(the first answer)
Step-by-step explanation:
Use the information provided to answer Part A and Part B for question 11.
Three congruent figures are shown in the coordinate plane.
8
-7
-5
9-3-7 65
A
N
-4
-5
-6
-7
-8
3
11. Part A
Which statement describes a possible sequence of transformations that
transforms figure 1 into figure 2?
A. a reflection across the x-axis, followed by a translation 2 units to the left
B. a reflection across the x-axis, followed by a translation 3 units to the right
C. a rotation 180° clockwise about the origin, followed by a translation
2 units to the left
D. a rotation 180° clockwise about the origin, followed by a translation
3 units to the right
The correct statement about the congruent figures is,
⇒ a reflection across the x-axis, followed by a translation 3 units to the right.
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Given that;
Three congruent figures are shown in the coordinate plane.
Now, From figure A and figure B,
Figure B is reflection across the x-axis, followed by a translation 3 units to the right across the figure A.
Thus, The correct statement about the congruent figures is,
⇒ a reflection across the x-axis, followed by a translation 3 units to the right.
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Nancy found that x=1 is one solution to the quadratic equation (x 2)2=a. what is the value of a? -9 -3 3 9
The value of the a, in the provided quadratic equation for which Nancy found one solution as x=1 is 9.
What is the solution of equation?The solution of the quadratic equation is the solution of the variable of the equation, for which the equation satisfies.
Nancy found that x=1 is one solution to the quadratic equation. The quadratic equation is,
[tex](x +2)^2=a[/tex]
For this equation, one solution is x=1. Put this value in the above equation to get the value of a,
[tex](1 +2)^2=a\\(3)^2=a\\9=a\\a=9[/tex]
Thus, the value of the a, in the provided quadratic equation for which Nancy found one solution as x=1 is 9.
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Answer:
D. 9
Step-by-step explanation:
63.6% to a fraction in simplest form
Answer:
159/250
Step-by-step explanation:
63.6% =
636/1000
divided by 2
318/500
divided by another 2
159/250
Answer:
159/250
Step-by-step explanation:
63.6% = 63.6÷100=.636
636/1000 divide each part by 2 (both are even numbers)
318/500 divide by 2 again (still even)
159/250 no more factors that are the same.
Mike had $70 of credit at an electronics store. He bought a package of DVDs for $20. a computer mouse for $17 and a programming book for $15. How much store credit does Mike have left? *
Answer:
18
Step-by-step explanation:
20+17+15=52
70-52=18
Hope it Helps
Answer:
70-(20+17+15)=$18
$18 of store credit left
PLEASE HELP 20 POINTS
The rate of change is ____.
-4
-1
1
4
Answer:
-4
Step-by-step explanation:
Rate of Changes:
[tex]\displaystyle \large{\dfrac{\Delta y}{\Delta x}=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]
Pick two values of x and y from the given table:
I pick (1,5) and (-1,13).I define (1,5) be (x2,y2) and (-1,13) be (x1,y1)Therefore:
[tex]\displaystyle \large{\dfrac{\Delta y}{\Delta x}=\dfrac{5-13}{1-(-1)}}\\\displaystyle \large{\dfrac{\Delta y}{\Delta x}=\dfrac{-8}{1+1}}\\\displaystyle \large{\dfrac{\Delta y}{\Delta x}=\dfrac{-8}{2}}\\\displaystyle \large{\dfrac{\Delta y}{\Delta x}=-4}[/tex]
Therefore, rate of change is -4
Mr. Vega bought his daughter a kitten for her birthday, so now he needs to buy cat food. First, he gets a 20-pound bag of dry cat food. Then, he finds a good deal on 3-ounce cans of wet cat food, so he buys 48 of them. How many pounds of cat food does Mr. Vega get in all?
Answer:
29
Step-by-step explanation:
3 x 48 = 144
144 ounces in pounds: 9 pounds
20pounds + 9 pounds = 29pounds
What is gain 3 pounds as a integer
Answer:
it would be +3
Step-by-step explanation:
This is he answer because +3 is equal to p+3 if pounds=p
Please help me , answer steps . Thanks..
Answer:
I think the answer is 3150 miles
I multiplied 1.50 by 21 and the answer I converted to miles
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