Step-by-step explanation:
Find the area of a square or rectangle by multiplying the length times the width. This formula looks like l*w. If the length is 5 and the width is 2, the area is 10 square units. Calculate the area of a four-sided shape that is not a rectangle by multiplying the base (one of the sides) by the height.
I hope it's helpful!
In Mr. Elliot's garden, 1 8 of the flowers are red, 1 4 of them are purple, and 1 4 of the remaining flowers are pink. If there are 128 flowers, how many flowers are pink?
Answer:
20
Step-by-step explanation:
Given that:
Red flowers = 1/8
Purple = 1/4
(1/8 + 1/4) = (1 + 2) / 8 = 3/8
Fraction left :
1 - 3/8 =. 5/8
Pink flowers :
1/4 of fraction left ;
1/4 * 5/8 = 5/32
Number of pink flowers
Total number of flowers = 128
5/32 * 128
640 / 32
= 20
20 pink flowers
sales of 10 000 increase by 65 each year
Answer:
Whats the question
Step-by-step explanation:
also if you are looking for the unit rate its 153.846...
or if you are looking for how many in 2 years then 650,000
Hope this helps
Have a nice day :)
1.
Prove that the roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k
The roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k
The equation is given as:
x^2 + (1 - k).x+k-3 = 0
For an equation to have real root, then the following must be true:
[tex]b^2 \ge 4ac[/tex]
In x^2 + (1 - k).x+k-3 = 0, we have:
a = 1
b = 1 - k
c = k - 3
So, we have:
[tex](1 - k)^2 \ge 4 * 1 * (k - 3)[/tex]
Evaluate
[tex]1 - 2k + k^2 \ge 4k - 12[/tex]
Collect like terms
[tex]k^2 - 2k - 4k + 1 + 12 \ge 0[/tex]
[tex]k^2 - 6k + 13 \ge 0[/tex]
Using a graphing calculator, the value of k is all real numbers
Hence, the roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k
Read more about real values at:
https://brainly.com/question/6499629
Describe how to graph the line y=2/3x+5
PLEASE HELP
Your friend is looking at laptops for
college, and is comparing the different
screen sizes. If a laptop has a height of 6
in and a diagonal of 17.5 in, use the
formula below to find the width of the
laptop screen. Round your answer to the
nearest tenths place
17.5 = √6² + w²
17.5² = 36 + w²
306.25 = 36 + w²
270.25 = w²
√270.25 = w
16.4392822 = W
= w = 16.44 in
11. A paint color requires the ratio of green paint to yellow paint to be 4 : 9
a. A container of this paint has 36 pints of yellow paint Write a proportion
that gives the numbir g of pints of green paint in the container'
b. How many pints of green paint are in the container?
c. how many gallons of paint are in the container altogether?
Answer:
Step-by-step explanation:
1) 36:81
2)81 pints
3)14.625 gallons of paint
Bobby earns $72 for the day and $6 for each delivery he makes. He wants to make $150 in work day. How many deliveries must Bobby make to reach his goal?
Answer:
He needs to make 13 deliveries
Find the distance from the center of a circle to a 14 m long chord if the diameter of the circle is 50 m.
(Draw a picture)
Answer:
700 I think...
Step-by-step explanation:
Multiply
please help!!!!!!!!
if XYZ ~ RST, find RS
Answer:
RS = 38
Step-by-step explanation:
20x - 12 = 18x + 12
2x = 24
x = 12
3(12) + 2 = 38
The value of the side of triangle RS is equal to 38.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the sides of the triangle XYZ are, XY = 5x - 3, XZ = 60 and the sides of the triangle TR = 40, RS = 3x + 2.
The value of RS will be calculated as,
( 5x - 3 ) / ( 3x + 2 ) = ( 60 / 40 )
( 5x - 3 ) / ( 3x + 2 ) = ( 6 / 4 )
20x - 12 = 18x + 12
2x = 24
x = 12
RS = 3x + 2
RS = ( 3 x 12 ) + 2
RS = 36 + 2
RS = 38
Therefore, the value of the side of triangle RS is equal to 38.
To know more about similarities follow
https://brainly.com/question/2650733
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You made a profit of $65,000. You would like to invest the $65,000 into an account that pays you an annual compounded interest rate of 5.5%. You want to make annual withdrawals over the next 10 years such that by the end of this 10 year period, the amount remaining in the account will be zero dollars. Determine, from the given information, the amount of the annual withdrawals. please Round your answer to the nearest cent.
Answer:
d. $8,623.40
Step-by-step explanation:
EDGE 2021
2)
During a 500 minute car trip, Luke spent 74 minutes listening to his MP3 player, 56 minutes playing video games,
128 minutes watching a movie, and 38 minutes reading. The rest of the time he spent napping. If the time Luke
spent on these four activities is rounded to the nearest ten, about how many minutes did Luke spend napping?
A. 100 min.
B. 200 min.
C. 300 min.
D. 400 min.
Type here to search
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9:28 PM
3/16/2021
DOLL
Answer:
B.) About 200 minutes napping
Step-by-step explanation:
74+56+128+38=296
500-296=204
204 is about 200
(-4,-4), (1,3)
Find the distance and slope between each pair of points.
21x+9 =
Help please
Answer:
3
Step-by-step explanation:
cross multiply
Can someone help me with this one?
123.7 cm= How many meters?
123.7 cm = 1.237 meters
hope it helps.
Use the Distributive Property to simplify the expression.
9(3+c+ 4) =
Answer:
9c4+27 is what I got from solving
Answer:
9(7+c)
I hope it's correct sorry if I'm wrong :(
The surface area of this cube is 864 square yards. What is the value of q?
Answer:
Volume
=
512
cubic feet
Explanation:
A cube has
6
faces all with equal area.
If the total surface area of the cube is
384
sq.ft.
then each face has an area of
384
÷
6
=
64
sq.ft.
Each face of a cube is a square and if we denote the length of an edge as
E
then the area of a face (in this case
64
sq.ft.) is equal to
E
2
XXX
E
2
=
64
sq.ft.
XXX
→
E
=
8
sq.ft.
The volume of a cube with edges of length
E
is
E
3
In this case
Volume
=
E
3
=
8
3
=
512
sq.ft.
Hope i helped
A pack of gum is in the shape of a rectangular prism with a length of 5 centimeters and width of 2 centimeters. The volume of the gum is 60 cubic centimeters. What is the height of the pack of gum? The height of the pack of gum is cm.
What equivalent fractions for 2 3/5 and 1 1/3 using a common denominator
Answer:
The common denominator is 15.
2 3/5 = 13/5 = 39/15
1 1/3 = 4/3 = 20/15
Answer:
39/15 and 20/15
Step-by-step explanation:
Given function:
2 3/5 and 1 1/3to find the equivalent fraction for both fraction using common denominator..Rewrite 2 3/5 and 1 1/3 by a number that is equivalent to 5 and 3:
[tex]5,10,15[/tex] [tex]3,6,9,12,15[/tex]Multiply each numerator by how much times it turned into 15:
[tex]3[/tex]·[tex]3=9[/tex] [tex]1[/tex]·[tex]5=5[/tex]Simplfly the fraction terms:
[tex]2\frac{9}{15}=\frac{39}{15}[/tex] [tex]1\frac{5}{15}=\frac{20}{15}[/tex]Therefore, 39/15 and 20/15 is equivalent to 2 3/5 and 1 1/3.
The sum of two numbers is 59. The difference between the two numbers
is 11. Which is the larger of the two numbers?
Answer:
35
Step-by-step explanation:
The numbers are 35 and 24
35 + 24 = 59
35 - 24 = 11
35 > 24
6x + 7b - 7x + 10x
What is the answer to this question?
Answer:7b+9x
Step-by-step explanation:hope I helped
Suzy makes 20 dollars an hour at her job. Bill only makes 10 dollars an hour but he has a starting bonus of 20. When will Suzy and Bill make the same amount of money for the same number of hours worked? How much will they both earn at the same time?
Answer:
2 hours
Suzy would earn $40
Bill will earn $40
they will both earn $80
Step-by-step explanation:
The total amount suzy earns is a function of the total hours worked. Let t represent time
total income of suzy = $20t eqn 1
Bill's income = starting bonus + variable pay
= $20 + $10t
We are looking for when they would earn the same amount :
20t = $20 + $10t eqn 2
collect like terms and solve for t
10t = $20
t = 2 hours
Substitute for t in either eqn 1 or 2
20(2) = $40
Suzy would earn $40
Bill will earn $40
they will both earn $80
4. Using the figure below, find the area of the circle. 10 cm
Answer:
we need the full picture of the circle to see if 10 cm is only half or not
a car travels a distance of 50 km in 30 minutes. what is the average speed
Answer:
100 km/hour, or 16.67 km/minute
Step-by-step explanation:
Is it point s,w,v, or R PLEase HELP
A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13 What is the: Total Surface Area of the Prism
Given:
A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13.
To find:
The total surface area of the prism.
Solution:
We have,
Height of prism = 7½ = 7.5
Sides of triangular base are 5, 12, 13. These sides of Pythagorean triplets because
[tex]5^2+12^2=13^2[/tex]
[tex]25+144=169[/tex]
[tex]169=169[/tex]
So, the base of the prism is a right triangle.
Area of a triangle is
[tex]Area=\dfrac{1}{2}\times base \times height[/tex]
[tex]A_1=\dfrac{1}{2}\times 5\times 12[/tex]
[tex]A_1=30[/tex]
The area of the base is equal to the area of the top, i.e., [tex]A_2=30[/tex] sq units.
Perimeter of the base is
[tex]P=5+12+13[/tex]
[tex]P=30[/tex]
The curved surface area of the prism is
[tex]CSA=\text{Perimeter of the base}\times \text{Height of the prism}[/tex]
[tex]CSA=30\times 7.5[/tex]
[tex]CSA=225[/tex]
Now, the total area of the prism is
[tex]A=A_1+A_2+CSA[/tex]
[tex]A=30+30+225[/tex]
[tex]A=285[/tex]
Therefore, the total surface area of the triangular prism is 285 square units.
Which two ordered pairs satisfy the equation y = 3x + 2 ?
* (0, 2) and (2, 8)
(1, - 1) and (- 2, 8)
(0, 2) and (- 1, 1)
(2, 8) and (0, 5)
What is the GCF of 4x^ 2 +6x
Answer:
The GCF of 4x^2 + 6x
is. (2x )
hope it helps
2x
If h(x) = (f o g)(x) and h(x) = sqrt(x+5), find g(x) if f(x) = sqrt(x+2)
Answer:
g(x) = x + 3Step-by-step explanation:
Givenh(x) = (f ο g)(x)h(x) = [tex]\sqrt{x+5}[/tex]f(x) = [tex]\sqrt{x+2}[/tex]To findg(x)SolutionWe know that:
(f ο g)(x) = f(g(x))Substitute x with g(x) and solve for g(x):
[tex]\sqrt{x+5}[/tex] = [tex]\sqrt{g(x)+2}[/tex]x + 5 = g(x) + 2x + 3 = g(x)g(x) = x + 3Question is in the photo.