Answer:
10 1/4
Step-by-step explanation:
Assume x as the smallest integer.
Since it is consecutive, you have to add 1 in order to get the next integer.
Equation:
x+x+1+x+2=x+30
x=8 1/4
You need to add 2 to get the largest integer.
So, 8 1/4 + 2 = 10 1/4
5 pencils and 3 pens costs £11.
4 pencils and 6 pens costs £16.
Find the cost of a pencil.
Find the cost of a pen.
Answer:
The pencil is £1 and the pen is £2
Step-by-step explanation:
Let the pencil be p and let the pen be f.
5p + 3f = 11
4p + 6f = 16
the top one multiplies by two:
10p + 6f = 22
4p + 6f = 16 subtract
6p = £6
pencil = £1
Then you substitute the value of the pencil into the equation and find the value of the pen.
Choose the letter of the correct answer Write the chosen letter on a separate sheet of
1. The measure of the volume of a rectangular solid is a'b - 63b27a-9ab? Find the dimensions of the
solid
A.(a + 3b). (a - 3b), and (ab + 7)
C. (a + 3b). (3a - 3b), and (ab + )
B.(3a+ 3b). (a - 3b), and (ab + 7)
D. (a + 3b). (a-35), and (ab + 3)
2. The floor plan for a rectangular building states that the length of the building is to be 8 meters more than
times its width. If the floor area is to be 256 square meters, what must be the length and width of the building?
A.6 meters long and 16 meters wide C. 8 meters long and 32 meters wide
B.30 meters long and 10 meters wide D. 32 meters long and 8 meters wide
3. The area of the dining room is 130 square units. If the width is 3 meter less than its length what is the weidin
of the room?
A. 10 units
B. 11 units
C 12 units
D. 13 units
D. 2b + 10
4. One of the factors of 2b2 + 15b-50 is b +10. What is the other factor?
A.2b - 10
B. 2-5
0. 2b +5
5. The area of the nachos is 15x - 10x square centimeters. If the base is 5x centimeters, which is the length of
the height?
A. 3x - 2 cm.
B. 3x + 2 cm
C. 6x-4 cm
D. 6x + 4 cm
pose
This question was not properly written
Complete Question
Choose the letter of the correct answer Write the chosen letter on a separate sheet of
1. The measure of the volume of a rectangular solid is a²b - 63b²-9ab³? Find the dimensions of the
solid
A.(a + 3b). (a - 3b), and (ab + 7)
C. (a + 3b). (3a - 3b), and (ab + 3 )
B.(3a+ 3b). (a - 3b), and (ab + 7)
D. (a + 3b). (a-3b), and (ab + 3)
2. The floor plan for a rectangular building states that the length of the building is to be 8 meters more than
times its width. If the floor area is to be 256 square meters, what must be the length and width of the building?
A.6 meters long and 16 meters wide C. 8 meters long and 32 meters wide
B.30 meters long and 10 meters wide D. 32 meters long and 8 meters wide
3. The area of the dining room is 130 square units. If the width is 3 meter less than its length what is the weidin
of the room?
A. 10 units
B. 11 units
C 12 units
D. 13 units
4. One of the factors of 2b2 + 15b-50 is b +10. What is the other factor?
A.2b - 10
B. 2-5
C. 2b +5
D. 2b + 10
5. The area of the nachos is 15x² - 10x square centimeters. If the base is 5x centimeters, which is the length of
the height?
A. 3x - 2 cm.
B. 3x + 2 cm
C. 6x-4 cm
D. 6x + 4 cm
Answer:
1 A.(a + 3b). (a - 3b), and (ab + 7)
2 D. 32 meters long and 8 meters wide
3 A. 10 units
4 B. 2b -5
5. C. 6x - 4 cm
Step-by-step explanation:
Choose the letter of the correct answer Write the chosen letter on a separate sheet of
1. The measure of the volume of a rectangular solid is a²b - 63b²-9ab³? Find the dimensions of the
solid
We pick the options one after the other
A.(a + 3b). (a - 3b), and (ab + 7)
(a² -3ab + 3ab -9b²)(ab + 7)
(a² - 9b²) (ab + 7)
a²b - 9ab³ - 63b²
C. (a + 3b). (3a - 3b), and (ab + 7 )
(3a² - 3ab + 3ab -9b³)(ab + 3)
(3a² - 9b³)(ab + 3)
3a³b + 21ab² - 9b⁴a - 27b³
B.(3a+ 3b). (a - 3b), and (ab + 7)
(3a² - 9ab + 3ab - 9b²)(ab + 7)
(3a² - 6ab - 9b²)(ab + 7)
3a³b +21a² - 6a²b² + 42ab - 9ab³ - 63
D. (a + 3b). (a-3b), and (ab + 3)
(a² -3ab + 3ab - 9b²)(ab + 3)
(a² - 9b²) (ab + 3)
a³b + 3a² - 9ab³ - 27b²
Therefore, option A.(a + 3b). (a - 3b), and (ab + 7) is the correct option
2. The floor plan for a rectangular building states that the length of the building is to be 8 meters more than 3 times its width . If the floor area is to be 256 square meters, what must be the length and width of the building?
Area of a rectangle = Length × Width
Length of the building is to be 8 meters more than times its width.
= Length = 3W + 8
Area = 256m²
Hence:
256 =( 3W + 8 )× W
256 = 3W² + 8W
= 3W² + 8W - 256
Factorise
= 3W(W - 8) + 32(W - 8)
= (3W + 32) ( W - 8)
W - 8 = 0
W = Width = 8m
Length = 3W + 8
Length = 3(8) + 8
= 24 + 8
= 32m.
D. 32 meters long and 8 meters wide
3. The area of the dining room is 130 square units. If the width is 3 meter less than its length what is the width
of the room?
A. 10 units
B. 11 units
C 12 units
D. 13 units
Area = Length × Width
The width is 3 meter less than its length
W = L - 3
Area = 130 square units
Hence:
130 = L (L - 3)
130 = L² - 3L
L² - 3L - 130
= L² + 10L - 13L - 130
= L(L + 10) - 13(L + 10)
= (L - 13) (L + 10)
L - 13 = 0
L = Length = 13 units
L + 10 = 0
L = -10 units.
W = L - 3
L = 13 units
W = 13 - 3
W = 10 units
Therefore, the width of the room is 10 units
A. 10 units
4. One of the factors of 2b² + 15b-50 is b + 10. What is the other factor?
A.2b - 10
B. 2b -5
C. 2b +5
D. 2b + 10
2b² + 15b -50
One of the factors is b +10.
We factorise
2b² + 15b - 50
= 2b² + 20b - 5b - 50
= 2b(b + 10) - 5(b + 10)
= (2b - 5) (b + 10)
The other factor is 2b - 5
B. 2b -5
5. The area of the nachos is 15x² - 10x square centimeters. If the base is 5x centimeters, which is the length of
the height?
A. 3x - 2 cm.
B. 3x + 2 cm
C. 6x-4 cm
D. 6x + 4 cm
Nachos are triangular in shape
Area of a triangle = 1/2 × Base × height
A = 1/2 bh
A = bh/2
2A = bh
h = 2A/b
The area of the nachos is 15x - 10x square centimeters. If the base is 5x centimeters,
h = 2(15x² - 10x)/5x
h = 30x² - 20x/5x
h = 30x²/5x - 20x/5x
= 6x - 4 cm
the length of the height is:
C. 6x - 4 cm
The perimeter of the rectangle below is 54 units. Find the value of x
Answer: x=5
Step-by-step explanation:
3x appears two times and so does 2x +2. That created the equation 3x + 3x + 2x + 2 + 2x + 2=54. Combine like terms. You get 10x +4=54. Then you solve. Inverse operation: You subtract 4 from 54. Which is 50, then divide by 10. X=5
The value of the x for the given rectangle is 5 units.
What is the perimeter of a rectangle?The whole distance that a rectangle's boundaries, or its sides, the cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the sum of its four sides.
Given, The perimeter of the rectangle below is 54 units.
Also given the length of the rectangle = 3x
and the width of rectangle = 2x + 2
Since, Perimeter of rectangle = 2 *( length + width)
Perimeter of rectangle = 2 * (3x + 2x + 2)
Since we have a perimeter
54 = 2 *(5 x + 2)
5x + 2 = 27
5x = 25
x = 5
Therefore, For the given rectangle, the value of x is 5 units.
Learn more about rectangles here:
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I HAVE 2 MIN PLEASE HELP ME PLEASE
Answer:
The answer is -91. 7 times -13 is -91.
MARK ME BRAINLIEST!!
Which expression represents a negative value?
2 - |-7 + 31
5- |-12 + 91
15| + |-111
9 - 18 - 141
Answer:
9-18-141
Step-by-step explanation:
9-18= -9
-9-141= (-150)
A square piece of plywood has sides that are 10 feet long. What is the piece of plywood's area
Answer:
100ft^2
Step-by-step explanation:
The area of a square is always one of the side's length multiplied by itself.
10 x 10 = 100ft^2
If l is parallel to m find the value of each missing variable
Answer:
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)
A basketball hoop has a
diameter of approximately
18 inches. What is the
circumference of the
basketball hoop?
The perimeter of the basketball hoop is 18π inches.
The circumference of a circle can be found using the formula:
C = πd
where C is the circumference and d is the diameter of the circle.
In this case, the diameter of the basketball hoop is approximately 18 inches. So we can plug this value into the formula to get:
C = π(18)
Using a calculator or approximating π to 3.14, we can evaluate this expression to get:
C ≈ 56.52 inches
Therefore, the circumference of the basketball hoop is approximately 56.52 inches.
Learn more about perimeter here:
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can someone answer these two for me?? thank you so much
Answer:
for first pic it's CD and for second pic that's option 1
Answer:
1=1
2=2
Step-by-step explanation:
hope this helps if they are wrong let me know i will fix it for you
The variance of a distribution is 195. What is the standard deviation, rounded to the nearest thousandth? fill in the blank 1
Answer:√29.5= 5.43139
Step-by-step explanation:
Find the volume of the box.
3
6 ft
5 Ft
The volume of the box is
cubic feet.
Paul gets money for each chore he completes around the house. He receives $5.00 for taking out the garbage all week, $10.00 for cleaning the bathroom, $3.00 for each time he empties the dishwasher, and $4.00 an hour for babysitting his younger sister. This week, he took out the garbage, emptied the dishwasher three times, and babysat his sister for five hours. How much money should he receive?
Answer
$30
Step-by-step explanation:
this is an isosceles triangle z=?
Answer:
Z = 75°
Step-by-step explanation:
Z is equal to 75°
hope that will help you
Simplify the following using a Property of Integer Exponents.
2,345⁰
HELP ME ASAP THANK YOU !!
Answer:
B
Step-by-step explanation:
How can you use powers and exponents to express known quantities
Which graph shows a set of ordered pairs that represent a function?
Answer:
The middle one is a function because there is only 1 x value distributing 1 y value
Step-by-step explanation:
Answer:
#3, on the top right corner
Step-by-step explanation:
What is the distance from (−3, 1) to (−1, 5)? Round your answer to the nearest hundredth.
3.60
4.12
4.47
5.66
Answer: 4.47 is the correct one :)
Answer:
4.47
Step-by-step explanation:
took the test
terminating decimals are sometimes,never,always rational numbers
Answer: The answer is Always any number that can be made into a fraction or decimal is a rational number.
Step-by-step explanation:
Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. ... So, any terminating decimal is a rational number.
Find the greatest common divisor of 63 and 42
Answer:
21
Step-by-step explanation:
The function graphed below represents the altitude in feet, y, of a passenger airplane during descent after 3 minutes.
y
35.000
PASSENGER PLANE ALTITUDE
30.000
25.000
ALTITUDE
(FEET)
20.000
15.000
10.000
S000
10
15
TIME
(MINUTES)
Which feature of the graph shows the point at which the plane ends its descent?
O x-intercept
O y-intercept
Orange
O slope
Answer:I'm pretty sure it's Slope
Step-by-step explanation: The line is pointing downwards
Answer:
x- intercept
Step-by-step explanation:
that is where the plane is no longer descending
Write a unit rate for 53 pages in 2 hours
Answer: 26.5 pages/hr
Step-by-step explanation:
53 pgs/2 hours = 26.5 pages/hr
Simplify: (7xy5)2 (I just forget what to do)
Answer:
49x^2 y^10
Step-by-step explanation:
Step 1- 7^2 * x^2 (y^5)^2
Step 2- 49x^2 7 ^5*2
Step 3- 49x^2y^10
A factory can make 300 dozen doughnuts an hour. What is the unit rate in doughnuts per minute?
Answer:
5 per minute
Step-by-step explanation:
300 divided by 60 mins is 5.
Answer:
Step-by-step explanation:
300 times 12 =3600
3600 / 60 = 60
Anyone know how to do this??
Answer:
x = 60
Step-by-step explanation:
In order to make L parallel (||) to M, you want to prove that the angles are same-side interior angles since the Same-Side Interior Angle Theorem only works for parallel lines cut by a transversal.
In order to make the angles (marked with the expressions) same-side interior angles, they have to add up to 180 degrees because they are supplementary angles.
Make an equation where the two angles add up to (equal) 180.
(x - 5) + (2x + 5) = 180Combine like terms on the left side of the equation.
3x = 180Divide both sides of the equation by 3.
x = 6060 is the value of x that will make L || M.
Hello, Can you please help me with this problem? It's due at 9:00 pm (Please answer the whole thing if you can!) This is not for me it's for my little sister.
Update : I give you The picture
If I work Saturday and Sunday for an entire year making $11.00 an hour for 8 hours in a shift. How much did I earn in that year?
Answer:
$9,152
Step-by-step explanation:
The diameter of a circle is 101010 units.
What is the radius of the circle?
(in units)
Answer:
5
Step-by-step explanation:
Branliest plz
Please help I’m confused. Thanks ;)
Answer: a. AB = 15cm long. b. AB = 11.1cm long. c. AB = 3/5cm long.
d. AB = 3 cm long.
Step-by-step explanation:
Solve the equation a = m – n for the variable m.
Answer:
[tex]\rightsquigarrow\quad\sf{m=a+n}[/tex]
In-depth explanation:
Hi there, let's solve this equation.
Let's rearrange the equation a = m - n for m.
m - n = a
Add n to each side:
m = a + n
Therefore, m = a + n.