Answer:
He can buy 8 bookcases and 6 lamps
Step-by-step explanation:
4(16) + 3(12)
64 + 36 = 100
360- 100 = 260
260-100=60
4*2=8 3*2=6
what is the length of a rectangle whose perimeter is 140 ft if its width-to-length is 2 : 5
Answer:
50 ft.
Step-by-step explanation:
It is given that the ratio of width-to-length is 2 : 5.
Let,
Width = 2x ft
Length = 5x ft
Perimeter of the rectangle is
[tex]Perimeter=2(lenght+width)[/tex]
[tex]Perimeter=2(5x+2x)[/tex]
[tex]Perimeter=2(7x)[/tex]
[tex]Perimeter=14x[/tex]
It is given that the perimeter of the rectangle is 140 ft.
[tex]14x=140[/tex]
Divide both sides by 14.
[tex]x=10[/tex]
The value of x is 10.
[tex]Length=5x=5\times 10=50[/tex]
Therefore, the length of the rectangle is 50 ft.
Pleaseee helpppppp !
Answer:
122
Step-by-step explanation:
Inscribed Angles measure 1/2 of the central angle, using this:
61*2 = 122
If a square has a side (s) length of 7 feet. What would the Area (A) of the
square be? *
Answer:
the area would be 7x7x7= 343 would be the answer length times width times height
please please please mark brainliest
Step-by-step explanation:
Answer:
49 square feet
Step-by-step explanation:
length, l = 7 feet
Area of the square, A = l^2
Slot in the value of l
= 7^2
= 49 square feet
Jillian plans a pillow pattern before sewing. The parallelogram in the center of the pattern has a base length of 9 inches and a
height of 7 inches. She needs to find the area of the fabric surrounding the parallelogram pattern. Which statements below should
she apply when solving this problem? Check all that apply.
Answer:
The area surrounding the parallelogram can be found by subtracting 63 from 128
Step-by-step explanation:
Parallelograms can be said to be shapes which has four sides including two pairs of sides that are parallel and the four shapes are square, rectangle, rhombus, and rhomboid. Although rhombus is said to look exactly like a slanted square, while rhomboid is said to looks like a slanted rectangle.
Therefore when solving the problem she should apply the area surrounding the parallelogram which can be found by subtracting 63 from 128 since
She needs to find the area of the fabric surrounding the parallelogram pattern.
Answer:
B, C, E
Step-by-step explanation:
On e2020
B-The area of the parallelogram is (9) (7) = 63.
C-The total area of the block is 128 square inches.
E-The area surrounding the parallelogram can be found by subtracting 63 from 128.
The Soup Company wants to package its soup in a new can. The company has four choices for the cans. Which can will
provide the largest volume?
Can
Soup Can Choices
Radius
2 inches
2.5 inches
3 inches
3.2 inches
B
Height
6 inches
5 inches
4 inches
3 inches
0
Recall the formula V= xr2n.
Can A
O Can B
o Canc
Can D
Answer:
it would be can D
Step-by-step explanation:
Can C have greater volume.
What is Volume of Cylinder?The amount of space inside a cylinder is its volume. You can find it by dividing the base area by the height. V =πr²h, is the formula for the volume of a cylinder with base radius r and height h.
Given:
a) Volume of Cylinder = πr²h
= 3.14 x 2 x 2 x 6
= 75.36 cube inches.
b) Volume of Cylinder = πr²h
= 3.14 x 2.5 x 2.5 x 5
= 98.125 cube inches.
c) Volume of Cylinder = πr²h
= 3.14 x 3 x 3 x 4
= 113.04 cube inches.
d) Volume of Cylinder = πr²h
= 3.14 x 3.2 x 3.2 x 3
= 94.4608 cube inches.
Hence, can C have greater volume.
Learn more about Volume Of Cylinder here:
https://brainly.com/question/16134180
#SPJ2
The height of a right circular cone is multiplied by 4, but its radius remains fixed. By what factor will the volume of the cone be multiplied?
A. 1/4
B. 4
C. 8
D. 16
Answer:
B
Step-by-step explanation:
Because the height is only used once (not squared) in the cone volume formula, the volume is only multiplied by 4.
The volume of the right circular cone must be multiplied by 4.
The correct answer is option (B). 4
What is the volume of the right circular cone?[tex]V=\frac{1}{3}\times \pi \times r^{2} \times h[/tex], where 'r' is the radius of circular base and 'h' is the height of the right circular cone.
For given example,
The height of the right circular cone is multiplied by 4, but its radius remains fixed.
From the formula of the volume of the right circular cone,
[tex]V\propto h[/tex]
This means, as height of the cone increases, the volume of the cone increases at the same rate.
As the height of a right circular cone is multiplied by 4, the volume of the cone must be multiplied by factor 4.
Therefore, the correct answer is option (B). 4
Learn more about right circular cone here:
https://brainly.com/question/13137182
#SPJ2
I don’t know how to find the value.
Answer:
x=20
Step-by-step explanation:
The angles are vertical angles, which means they are equal
2x+20 = 60
Subtract 20 from each side
2x+20-20 = 60-20
2x = 40
Divide each side by 2
2x/2 = 40/2
x =20
Answer:
x=20. C.
Step-by-step explanation:
You see, 2x plus 20 and 60 are vertical angles. They are angles that go head to head. Vertical angles are also congruent, so if they are congruent you can write an equation, 2x+20=60. Solve for x, minus both sides by 20, and you get 2x=40. Divide both sides by 2 and you get x=20. Hope this helps!
The answer please? I’ve been stuck on it for a while
A bag contains 12 red checkers and 6 black checkers. You will randomly select two checkers, one at a time, without replacement.
Fill in the probabilities on each branch of the tree diagram below. Write the probabilities as fractions in simplified form.
b) you could choose :
red, black
black, red
red, red
c) p(black, red) = (6/18)(12/17) = 72/306 = 4/17
Which is the completely factored form of 4x2 + 28x + 49?
O
(x + 7)(4x + 7)
4(x + 7)(x + 7)
(2x + 7)(2x + 7)
2(x+7)(x + 7)
.
Answer:
(2x + 7)(2x + 7)
Step-by-step explanation:
[tex]4 {x}^{2} + 28x + 49 \\ = 4 {x}^{2} + 14x + 14x + 49 \\ = 2x(2x + 7) + 7(2x + 7) \\ = (2x + 7)(2x + 7)[/tex]
Answer:
3) (2x+7)(2x+7)
Step-by-step explanation:
FOIL (first, outer, inner, last) it back out, you get 4x^2 + 14x + 14x + 49 which simplifies to the original.
Please Help
Solve for the missing side (z)
This homework is making me crazy!
A parabola can be represented by the equation x2 = -20y.
What are the coordinates of the focus of the parabola?
Answer:
[tex]\mathrm{Parabola\:focus\:given}\:x^2=-20y:\quad \left(0,\:-5\right)[/tex]
Step-by-step explanation:
Given the equation
[tex]x2 = -20y[/tex]
A parabola is the locus of points such that the distance to a point the focus equals the distance to a line the directrix.
[tex]4p\left(y-k\right)=\left(x-h\right)^2[/tex] is the standard equation for an up-down facing parabola with vertex at (h, k), and a focal length |p|.
so
[tex]x^2=-20y[/tex]
[tex]\mathrm{Switch\:sides}[/tex]
[tex]-20y=x^2[/tex]
[tex]\mathrm{Factor\:}4[/tex]
[tex]4\cdot \frac{-20}{4}y=x^2[/tex]
[tex]4\left(-5\right)y=x^2[/tex]
[tex]\mathrm{Rewrite\:as}[/tex]
[tex]4\left(-5\right)\left(y-0\right)=\left(x-0\right)^2[/tex]
[tex]\left(h,\:k\right)=\left(0,\:0\right),\:p=-5[/tex]
Parabola is symmetric around the y-axis and so the focus lies a distance\ p from the center (0, 0) along the y-axis.
[tex]\left(0,\:0+p\right)[/tex]
[tex]=\left(0,\:0+\left(-5\right)\right)[/tex]
[tex]\mathrm{Refine}[/tex]
[tex]\left(0,\:-5\right)[/tex]
Therefore,
[tex]\mathrm{Parabola\:focus\:given}\:x^2=-20y:\quad \left(0,\:-5\right)[/tex]
Please check the attached figure too.
The focus of the parabola given by the equation x2 = -20y is at the coordinates (0,-5). This is calculated by finding the value of 'p' in the standard form x2 = 4py.
The equation x2 = -20y is notably a form of the parabola equation known as standard form. This version of a parabola equation is defined in the form x2 = 4py (or it could be y2 = 4px), where p is the distance from the vertex to the focus (and also to the directrix).
In the given equation, x2 = -20y, comparing it with the standard form, we find 4p = -20 by observing the coefficient of 'y'. Solving for 'p', we get p = -20/4 = -5. This means the focus of the parabola is (0,-5), because for a parabola that opens downwards (since 'p' is negative), the focus is located at the coordinates (h, k-p), where 'h' and 'k' are the coordinates of the vertex (which is the origin (0,0) in this case).
Learn more about Parabolas here:
https://brainly.com/question/35420659
#SPJ3
A flying disc has has a circumference of 81.64 cm what is the area of the flying disc used 3.14 for pie
Answer:
530.66 cm squared
Step-by-step explanation:
c = 2(3.14)r
81.64 = 2(3.14)r
Divide both sides by 6.28
The radius is 13
a = 3.14(13 squared)
a = 530.66
Answer: 530.39 cm²
Step-by-step explanation:
C=2πr, Substitute 81.64 in for C then divide 2π t get 12.99. A=πr². Plug in 12.99 for r, solve, and get 530.39 cm
What would 6×6×6 equal with an exponent
Answer:
6³
Step-by-step explanation:
Answer:
6^3
Step-by-step explanation:
6*6*6
The base is 6
There are 3 sixes multiplied together so the exponent is 3
A rectangle is transformed according to the rule Ro. 900. The image of the rectangle has vertices located at R'(4,4), S (4,1),
P(-3, 1), and Q'(-3, 4). What is the location of Q?
(4, -3)
(-3,-4)
(3,4)
(4,3)
0
The location of the point Q is (4,3)
How to determine the location of Q?The coordinates are given as:
R'(4,4), S (4,1), P(-3, 1), and Q'(-3, 4)
The transformation rule is given as:
90 degrees counterclockwise
The above rule is represented as:
(x,y) -> (-y,x)
So, we have:
(x,y) -> (-3,4)
Solve for x and y
(x,y) = (4,3)
Hence, the location of the point Q is (4,3)
Read more about transformation at:
https://brainly.com/question/4289712
Match the equivalent expressions.
4x + 4x + 4x + 4x
4. A swimming pool has a length that is 13 feet more than its width. If the area of
the pool is 608 feet squared, find the length of the pool.
Answer:
Step-by-step explanation:
32
i did this
Which of the following is a simpler way to write StartFraction cosine theta Over sine theta EndFraction?
A. Tan E
B. Sec E
C. Csc E
D. Cot E
[tex]f(x)=16t^2+32t[/tex]The function f(x)=-16t^2+32t represents the height of a pumpkin t seconds after it is launched from a catapult. When does the pumpkin reach its maximum height? What is the maximum height of the pumpkin?
Answer:
- time = 1second
- maximum height = 16m
Step-by-step explanation:
Given the height of a pumpkin t seconds after it is launched from a catapult modelled by the equation
f(t)=-16t²+32t... (1)
The pumpkin reaches its maximum height when the velocity is zero.
Velocity = {d(f(x)}/dt = -32t+32
Since v = 0m/s (at maximum height)
-32t+32 = 0
-32t = -32
t = -32/-32
t = 1sec
The pumpkin reaches its maximum height after 1second.
Maximum height of the pumpkin is gotten by substituting t = 1sec into equation (1)
f(1) = -16(1)²+32(1)
f(1) = -16+32
f(1) = 16m
The maximum height of the pumpkin is 16m
Blair spent 45% of her birthday money on new clothes. What fraction of her money is that equivalent to?
A) 22/50
B) 4/11
C) 9/20
D) 4/5
Lashonda bought some books for $6 each and received a discount of $8 off of her total purchase. She spent $58 after the discount. How many books did she buy?
Write an equation that could be used to answer the question above. Let b represent the number of books. Solve for b
Answer:
6b - 8 = 58
6b = 66
b = 11
Each book costs $11.
Lashonda bought 11 books.
To solve this problem, we can set up an equation based on the information given. Let [tex]\( b \)[/tex] represent the number of books Lashonda bought. Each book costs $6, so the total cost before the discount is [tex]\( 6b \)[/tex]. Lashonda received a discount of $8 off of her total purchase, and she spent $58 after the discount. Therefore, the equation representing the total cost before the discount minus the discount equals the amount she spent is:
[tex]\[ 6b - 8 = 58 \][/tex]
Now, we solve for [tex]\( b \)[/tex]:
[tex]\[ 6b = 58 + 8 \][/tex]
[tex]\[ 6b = 66 \][/tex]
[tex]\[ b = \frac{66}{6} \][/tex]
[tex]\[ b = 11 \][/tex]
So, Lashonda bought 11 books.
Which is greater,-2 4/9 or -2.25
Answer: -2.25
Step-by-step explanation:
-2 4/9 or -2.25
Convert this to decimal
-2 4/9
4/9=0.4444
Add to the 2
-2.4444
-2.444 or -2.25
In negative rule,the lower the value,the greater the number
Therefore,
-2.25 is greater than -2.444
Evaluate 7C3
OA) 25
O B) 45
OC) 35
OD) 20
Answer:
C) 35
Step-by-step explanation:
[tex]^7C_3 \\ = \frac{7!}{3!(7 - 3)!} \\= \frac{7!}{3! \: 4!} \\ = \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4!} \\ = \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4!} \\ = 35 \\ \huge \red{ \boxed{ \therefore \: ^7C_3 = 35}}[/tex]
Answer:
C=35
Step-by-step explanation:
⁷C₃
These is combination
using the rule it states that
ⁿCₐ= n!/(n-a)!a!
so therefore ⁷C₃= 7!/(7-3)!3! = 7!/4!3!=7x6x5x4x3x2x1/{(4x3x2x1)x(3x2x1)}
4x3x2x1 cancels itself as it appears up and down
7x6x5/6
6 cancels each itself as it appears up and down
7x5 = 35
name a pair of complementary angles
Find the total surface area of this triangular prism
Hi!
Answer: 200
The 2 triangles surface area add up to 120
the rectangle on the bottom is 30
The rectangle in the back is 16
And the rectangle on top is 34
So 120+30+16+34 = 200
Hope this is correct and helps!
Find the surface area and volume. Answer SA = ____, V= _______
Answer:
SA = 251.33 yd ^2
V = 301.59 yd ^3
Step-by-step explanation:
Right cylinder 2π = 6.28318530718
Solve for surface area
A =2πrh+2πr2 = 24 x 2π + 2π x 16
A =150.796447372 + 100.530964915
A ≈251.33 yd^2
Right cylinder π = 3.14159265359
Solve for volume
V = πr2h = 16 x 6 = 96π
V = 3.14159265359 x 96
V = 301.592894745
V= 301.59 yd ^3
Joanne is making punch. She uses 1/2 gallon of orange juice, 3 quarts of
lemonade, and 11/4 gallons of apple cider. How many quarts of punch will she
have all together? **Remember 4 quarts=1 gallon.
Your answer
Answer:
1/2 gallon=2 quarts plus 3 quarts so 5 quarts then 11/4 would be 11 quarts so 11+2+3=16 quarts
Step-by-step explanation:
If the 11/4 part is confusing you on how many quarts it actually is it simply means that for every 4 quarts you get a gallon and you have 11 quarts so you can also look at it as 2 3/4 gallons if that somehow clarifies it.
What is the equation of the line that is perpendicular to the
given line and passes through the point (3, 4)?
Answer:
I am pretty sure that the answer is
y = 3x -2
Step-by-step explanation:
given a line with slope m then the slope of a line perpendicular to it is
where m is the slope and b the y-intercept
I hoped this helped!!!
Answer: y=3x-5
Step-by-step explanation:
Got ot right on my test!!
What is the product?
Answer:
5/4k^2
Step-by-step explanation:
P=5\dfrac{k}{6}\times \dfrac{3}{2k^3}.
We will be using the following property of exponents:
\dfrac{a^x}{a^y}=a^{x-y}.
We have
P\\\\\\=5\dfrac{k}{6}\times\dfrac{3}{2k^3}\\\\\\=\dfrac{5}{6}\times\dfrac{3}{2}k^{1-3}\\\\\\=\dfrac{5}{4}k^{-2}=\dfrac{5}{4k^2}.
Thus, the required product is \dfrac{5}{4k^2}.
Read more on Brainly.com - https://brainly.com/question/8858421#readmore
Answer: 5/4k^2
Step-by-step explanation:
Just multiply the fractions then simplify by a common factor of 3, then cancel out the common variable of k
Please help me solve this
Answer:
x = 2/5 = 0.400
Step-by-step explanation:
Step 1 :
1
Simplify —
4
Equation at the end of step 1 :
5 1
(— • x) - — = 0
8 4
Step 2 :
5
Simplify —
8
Equation at the end of step 2 :
5 1
(— • x) - — = 0
8 4
Step 3 :
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : 8
The right denominator is : 4
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 3 2 3
Product of all
Prime Factors 8 4 8
Least Common Multiple:
8
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 1
Right_M = L.C.M / R_Deno = 2
Making Equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 5x
—————————————————— = ——
L.C.M 8
R. Mult. • R. Num. 2
—————————————————— = —
L.C.M 8
Adding fractions that have a common denominator :
3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
5x - (2) 5x - 2
———————— = ——————
8 8
Equation at the end of step 3 :
5x - 2
—————— = 0
8
Step 4 :
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
5x-2
———— • 8 = 0 • 8
8
Now, on the left hand side, the 8 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
5x-2 = 0
Solving a Single Variable Equation :
4.2 Solve : 5x-2 = 0
Add 2 to both sides of the equation :
5x = 2
Divide both sides of the equation by 5:
x = 2/5 = 0.400
One solution was found :
x = 2/5 = 0.400