An electronics company designed a cardboard box for its new line of air purifiers. The figure shows the dimensions of the box.
The amount of cardboard required to make one box is___square inches.
a)130
b)111
c)109
d)84
Answer:
130
Step-by-step explanation:
just did test on plato/edmentum..it was correct
84 (the answer above) is incorrect
Answer:
Hi sorry for late respond but the answer in 130!!
Step-by-step explanation:
Which is the definition of a rhombus?
a. A quadrilateral with four right angles
b. A quadrilateral with four congruent sides
c. A quadrilateral with interior angles that sum to 360°
d. A quadrilateral with two pairs of opposite congruent sides
Answer:
a) A quadrilateral with 4 right angles
Answer:
I think the answer is b
I'm sorry if I'm not correct
38. Convert 85 to a number in base eight.
O 95 (base eight)
O 105 (hase eight)
O 115 (base eight)
O 125 (base eight)
Answer:
divide the number by 8 and write the remainder like this 10 r 5.Then you get your answer by going through the remainders in an upward direction. So the answer is 125
hellpp plzzzzz.......
Answer:
120Step-by-step explanation:
Given
u = 14 , a = 8 , t = 4
Now, let's find the value of s
[tex]s = ut + \frac{1}{2} a {t}^{2} [/tex]
plug the values
[tex] = 14 \times 4 + \frac{1}{2} \times 8 \times {4}^{2} [/tex]
Reduce the numbers with G.C.F 2
[tex] = 14 \times 4 + 4 \times {4}^{2} [/tex]
Multiply the numbers
[tex] = 56 + 4 \times {4}^{2} [/tex]
Calculate the product
[tex] = 56 + {4}^{3} [/tex]
Evaluate the power
[tex] = 56 + 64[/tex]
Add the numbers
[tex] = 120[/tex]
Hope this helps..
best regards!!
On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (4, 8) and Lei is at (12, 20). Tia lives at the corner of 4th Street and 8th Avenue. Lei lives at the corner of 12th Street and 20th Avenue. The fruit market is Three-fourths the distance from Tia’s home to Lei's home.
Answer:
(10, 17)
Step-by-step explanation:
It might be easier to explain with a picture or drawing, but I am new to this, so I would try using words.
Assuming the fruit market is on that straight line from Tia's home to Lei's, So we look at both address (coordinates)
From Tia to Lei, x coordinate is from 4 to 12, that's increased by 8, divide by 4, one step is 2.
y coordinate is from 8 to 20, an increase of 12, divide by 4 again, one step is 3.
The fruit market is at 3/4 distance, so 3 steps, on both x and y coordinates.
x: 4+6 = 10
y: 8+9=17
The fruit market is at point (10,17)
What is graph?
A graph can be defined as a pictorial representation or a diagram that represents data or values.
The point (x,y) which divides the segment AB with endpoints at A(x₁,y₁) and B(x₂,y₂) in ratio m:n has cordinates
[tex]x= \dfrac{nx_1+nx_2}{m+n}[/tex]
[tex]y= \dfrac{ny_1+ny_2}{m+n}[/tex]
Tia is at P(4, 8) and Lei is at Q(12, 20).
The fruit market (F) is three-fourths the distance from Tia’s home to Lei's home, then PM : PQ = 3:4 or PM : MQ = 3:1
So,
[tex]x= \dfrac{1.4+3.12}{3+1} = \dfrac{4+36}{4} = \dfrac{40}{4} = 10 \\y= \dfrac{1.8+3.20}{3+1} = \dfrac{8+60}{4} = \dfrac{68}{4} = 17[/tex]
Hence, the fruit market is at point (10,17) which means it is placed at the corner of 10th Street and 17th Avenue.
Learn more about graph here:
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Write each of the following expressions without using absolute value.
|a−7|−|a−9|, if a<7
PLEASE HELP!!!! D:
=======================================================
If a < 7, then |a-7| = -(a-7) = -a+7 based on how absolute value functions are constructed. We're using the idea that
[tex]|x-k| = \begin{cases}x-k \ \text{ if } \ x \ge k\\ -(x-k) \ \text{ if } \ x < k\end{cases}[/tex]
Also, if a < 7, then |a-9| = -(a-9) = -a+9. This is true whenever 'a' is less than 9 for similar reasoning as above.
---------
So we have,
|a-7| - |a-9| = -a+7 - (-a+9) = -a+7+a-9 = -2
As long as a < 7, the result of |a-7| - |a-9| will always be -2.
---------
As an example, let's say a = 0
|a-7| - |a-9| = |0-7| - |0-9|
|a-7| - |a-9| = |-7| - |-9|
|a-7| - |a-9| = 7 - 9
|a-7| - |a-9| = -2
I recommend you try out other values of 'a' to see if you get -2 or not. Of course only pick values that are smaller than 7.
The ratio of Ed's toy cars to Pete's toy cars was initially 5:2. After Ed gave 30 toy cars to Pete, they each had an equal number of cars. How many toy cars did they have altogether?
Answer:
140 toy cars
Step-by-step explanation:
The ratio of Ed's toy car to Pete's toy car is initially given as 5:2
Ed gave Pete a total number of 30 cars
Let x represent the greatest common factor that exists between both number
Number of Ed's car is represented as 5x
Number of Pete car is represented as 2x
Since they each have an equal number of cars which is 30 then we can solve for x as follows
5x-30=2x+30
Collect the like terms
5x-2x= 30+30
3x= 60
Divide both sides by the coefficient of x which is 3
3x/3=60/3
x=20
Ed's car is 5x, we substitute 20 for x
5(20)
= 100 cars
Pete car is 2x,we substitute 20 for x
2(20)
= 40 cars
Therefore, the total number of cars can be calculated as follows
= 100+40
= 140 toy cars
Hence they have 140 toy cars altogether
Answer:
140
Step-by-step explanation:
Which option is it??????
Answer:
both the equation and it's inverse are functions
A circular table top has a radius of 24 inches.
What is the area of the table top, to the nearest square inch? Use 3.14 for n.
75 in.2
151 in.
1809 in.2
7235 in.2
Answer:
(C) 1809 in.2
Step-by-step explanation:
Took the test on edg :3
Write the following phrase as an expression. "7 more than n"
Answer:
7+n
Step-by-step explanation:
More indicates that we are adding an amount to n.
So since it is 7 more, we need to add 7 to n.
Note that an expression does not include an equal sign, so we are done.
Other commonly seen phrases are:
less than -> indicates subtraction
product of -> indicates multiplication
divided by -> division
The sum of ages Afful and Naomi is 34. In 5 years time , Afful will be 2 times the age on Naomi now. How old are they now.
Answer:
Afful is 21 and Naomi is 13.
Step-by-step explanation:
Let [tex]A[/tex] represent the age of Afful and [tex]N[/tex] represent the age of Naomi.
The sum of their ages is 34. In other words:
[tex]A+N=34[/tex]
In 5 years time, Afful will be two times the age of Naomi now. In other words:
[tex]A+5=2N[/tex]
Solve for the system. Substitute.
[tex]A+N=34\\A=34-N\\34-N+5=2N\\39=3N\\N=13\\\\A=34-N\\A=34-(13)\\A=21[/tex]
Afful is currently 21 and Noami is currently 13.
Answer:
Naomi=x
Afful=2x
In 5 years time= +5
So Naomi=x+5
and and Afful=2x+5
=x+5+2x+5=34
=3x+10=34
Subtract 10 on both sides
3x=24
Divide 3 on both sides
X=8
Check:
X=8
Naomi=16
In 5 years
=16+5=21
Naomi=8+5=13
13+21=34
Hope this helps
Step-by-step explanation:
Please please help me
Answer:
A = 189 cm²Step-by-step explanation:
The area of a parallelogram is equal to the product of the length of its side and the height of the parallelogram perpendicular to that side.
H = 9 cm
S = 21 cm
A = S•H = 21 cm • 9 cm = 189 cm²
PLEASE HELP. WILL MARK BRAINIEST!!! 1. What shape should Kylee use to draw the swimming pool on the diagram? 2.If Kylee wanted to put the swimming pool directly between the flower beds, at what point would the center of the swimming pool be? 3.Use the point you identified in Part 1 to write an equation that will draw the swimming pool on the diagram so that it is directly between the flower beds. 4.Can Kylee place the swimming pool directly between the flower beds? Use the equation you wrote in Part 3 prove or disprove that the swimming pool will touch one of the flower beds. (Hint: Plug in points that are on a flower bed to check if they are also on the circle.) 5.Where can Kylee put the pool? Write an equation that will draw the pool on the diagram so that it does not touch anything.
Answer:
1) A rectangular shape
2) Point (30, 50)
3) (x - 30)² + (y - 50)² = 10²
4) Yes, the swimming pool will touch the flower beds
5) Point (45, 25)
Step-by-step explanation:
1) Given the number of shapes that are rectangles (4) and the number of circular shapes (1) to conserve more space Kylee should drw the swimming pool with a rectangular shape
2) So as to avoid touching the flowerbeds which are 20 feet apart, the center of the swimming pool will be moved slightly up to (30, 50)
3) The equation that will draw the swimming pool is the equation of a circle, given as follows
(x - h)² + (y - k)² = r²
Where (h, k) is the coordinate of the center of the circle, and r is the radius of the circle,
Given that the diameter, D, of the circle = 20 feet, the radius, r = D/2 = 20/2 = 10 feet
The equation of the circle is therefore;
(x - 30)² + (y - 50)² = 10²
4) The coordinates of the center of the flower bed is (30, 45) which gives
(x - 30)² + (y - 45)² = 10²
Where the coordinates of the side of the flower pot is (20, 45), we have;
(20 - 30)² + (45 - 45)² = 10²
(-10)² = 10² = r²
Hence, point (20, 45) is on the circle
The other flower bed side has coordinates (40, 45) which gives
(40 - 30)² + (45 - 45)² = 10²
10² = r² = 10²
Point (40, 45) is also on the circle
Therefore, the swimming pool will touch the flower beds
5) At point (45, 25), we have;
(x - 45)² + (y - 25)² = 10²
The closest point is the patio with coordinates (40, 15) which gives;
(40 - 45)² + (15 - 25)² = 10² = 100
(-5)² + (-10)² = 125 > 100
Therefore, point (40, 15), is not on the circle.
The surface area of a solid is 10 square feet. The dimensions of a similar solid are
three times as great as the first. The surface area of the new solid in square feet
is...
PLEASE urgent
Answer:
90 ft²
Step-by-step explanation:
Given the sides of similar figures in the ratio a : b, then
ratio of areas = a² : b²
Here ratio of sides = 1 : 3 , thus
ratio of areas = 1² : 3² = 1 : 9
That is the surface area of the new solid is 9 times the first
SA = 9 × 10 = 90 ft²
The total surface area of the new solid in square feet is 90 square feet
Let the solid be a cube.
The surface area of a cube = 6L²
L is the length o the cube;
If the surface area of a solid is 10 square feet, then;
10 = 6L²
L² = 10/6
L = √10/6
If the dimensions of a similar solid are three times as great as the first, then;
New length Ln = 3√10/6
Total surface area of the new solid = 6Ln²
Total surface area of the new solid = 6(3√10/6)²
Total surface area of the new solid = 6(9*10/6)
Total surface area of the new solid = 6(90/6)
Total surface area of the new solid = 90 square feet
This shows that the total surface area of the new solid in square feet is 90 square feet
Learn more here: https://brainly.com/question/23756628
Solve the inequality for y.
y - 9x > 6
please help!!!!!!!
Answer:
y>9x+6
Step-by-step explanation:
y-9x+(9x)>6+(9x)
y>9x+6
Choose the equivalent system of linear equations that will produce the same solution as the one given below 4x-y=-11 2x+3y=5
Answer: x = -2 , y = 3
Step-by-step explanation:
4x-y=-11
2x+3y=5
Solve 4x-y=-11 for y
Add -4x to both sides
4x-y+-4x=-11+-4x
-y=-4x-11
Divide both sides by -1
-y/-1=-4x-11/-1
y=4x+11
Substitute 4x+11 for y in 2x +3y=5
2x+3y=5
2x+3(4x+11)=5
Simplify both sides of the equation
14x+33=5
Add -33 to both sides
14x+33+-33=5+-33
14x=-28
Divide both sides by 14
14x/14=-28/14
x=-2
Substitute -2 for x in y= 4x+11
y=4x+11
y=(4)(-2)+11
Simplify both sides of the equation
y=3
I Shall Name Thee Brainliest! (:
What is -7Q + 6 + 5Q = 15 - 7 solve and check
3 (P+5) + P = 3(2+P) solve and check
2(A+4) + 6A = 2(2 + 3A) solve and check
Answer:
hello, friend(✿◡‿◡)
Step-by-step explanation:
-7Q + 6 + 5Q = 15 - 7
Q=-1
3 (P+5) + P = 3(2+P)
P=-3
2(A+4) + 6A = 2(2 + 3A)
A=-2
Complete the sentence by selecting the correct word from each drop-down menu. The middle value of a data set that is ordered from least to greatest is called the ____ . This value is a measure of ____. The options for the first ____ are mean/median/range The options for the second ____ are center/range/variation
Answer: The middle value of a data set that is ordered from least to greatest is called the median. This value is a measure of center.
Step-by-step explanation:
There are three measures of the center: 1) Mean 2) Median 3) Mode
Mean : Average value of the data
Mode = The most repeated value.
Median is the middlemost value in a well-ordered data.
It measures the center of the data.
Hence, the completed statement would be:
The middle value of a data set that is ordered from least to greatest is called the median. This value is a measure of center.
Answer:
First ____ is median
Second ____ is center
Step-by-step explanation:
The median is the middle value of a set of numbers, and is found in the center.
HELLLPPPP I need a explication on whether or not these angle relationships are possible
Answer:
Step-by-step explanation:
5x+30 is a corresponding angle with 4x-9 so set them equal to each other. 4x-9+2x+3 will equal 180
Answer:
no, the values would be above 180º
Step-by-step explanation:
if...
(4x - 9) + (2x + 3) + y = 180
(5x + 30) + y = 180
then...
(4x - 9) + (2x + 3) = 5x + 30
so...
6x - 6 = 5x + 30
x = 36
plug it in.
4(36) - 9 = 135
2(36) + 3 = 75
already you can see the sum of these two angles surpasses 180 which is not possible for a triangle.
Carter bought a bear and paid for a football uniform. The total cost was $38.50. Write and solve an equation to find the cost, x, of buying a bear.
Answer:
Equation:- [tex]x + y = 38.50[/tex]
Solution of x:- [tex]x = 38.50 - y[/tex]
Step-by-step explanation:
Given
Total Purchase = $38.50
Required
Determine the equation for finding the cost of a bear
From the question; we understand that the cost of 1 bear is represented with x
Solving further; by representing the cost of 1 football uniform with y
So;
[tex]1\ bear + 1\ uniform = 38.50[/tex]
Substitute x for 1 bear and y for 1 uniform to give us an equation
[tex]x + y = 38.50[/tex]
Solving for x (Subtract y from both sides)
[tex]x +y - y = 38.50 - y[/tex]
[tex]x = 38.50 - y[/tex]
The equation can't be solved further
Your math teacher caught you text messaging in class, again, so the teacher is making you give a presentation to your math class next week. Your assignment is to analyze the scatter plot that shows people's ages and the number of text messages sent in a day. In 3-5 sentences, explain what you see in the scatter plot below.
Answer: If a scatterplot is included in the assignment
The dots plotted on the graph might closely follow the graph of exponential decline. There is a large number of texts per day by 19-20-21 year-olds, but the number seems to decline exponentially as age increases. With a little work, it may be possible to plot the curve and write an equation to model the decline.
Step-by-step explanation: Look at some graphs of exponential decay. Also consider harmonic and hyperbolic decay. The trend in the data is evident. The main challenge is to look at the data and create an equation that models it.
Please answer in two minutes
Answer:
Toa
48/55
Step-by-step explanation:
O/A
48/55
Solve the system of equations algebraically.
{Y=(x-2)^2+2
{Y+4=3x
Answer:
(5, 11) and (2, 2)
Step-by-step explanation:
y = (x-2)² + 2
y + 4 = 3x
(x-2)² + 2 + 4 = 3x
x² - 4x + 4 + 6 = 3x
x² - 7x + 10 = 0
(x - 5)(x - 2) = 0
x - 5 = 0, x = 5
x - 2 = 0, x = 2
y = (5-2)² + 2 = 11
(5, 11)
y = (2-2)² + 2 = 2
(2, 2)
Answer:
[tex]\large \boxed{\sf \bf \ \text{ The solutions are } x=2, y=2 \text{ and } x=5, y=11.} \ \ }[/tex]
Step-by-step explanation:
Hello, please consider the following.
We want to solve this system of equations.
[tex]\begin{cases}&y=(x-2)^2+2\\&y+4=3x\end{cases}[/tex]
This is equivalent to (subtract 4 from the second equation).
[tex]\begin{cases}&y=(x-2)^2+2\\&y=3x-4\end{cases}[/tex]
Then, we can write y = y, meaning:
[tex](x-2)^2+2=3x-4\\\\\text{*** We develop the left side. ***}\\\\x^2-4x+4+2=3x-4 \\\\\text{*** We simplify. *** }\\\\x^2-4x+6=3x-4\\\\\text{*** We subtract 3x-4 from both sides. ***}\\\\x^2-4x+6-3x+4=0\\\\\text{*** We simplify. *** }\\\\x^2-7x+10=0[/tex]
[tex]\text{*** The sum of the zeroes is 7 and the product 10 = 5 x 2 ***}\\\\\text{*** We can factorise. ***}\\\\x^2-5x-2x+10=x(x-5)-2(x-5)=(x-2)(x-5)=0\\\\x-2 = 0 \ \ or \ \ x-5 = 0\\\\x= 2 \ \ or \ \ x=5[/tex]
For x = 2, y =0+2=2 (from the first equation) and for x = 5 y=3*5-4=15-4=11 (from the second equation)
So the solutions are (2,2) and (5,11)
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Can somebody plz help me [-5+(-7)]^2-(7+3)^2
Answer:
[tex]\boxed{44}[/tex]
Step-by-step explanation:
[tex][-5+(-7)]^2-(7+3)^2[/tex]
Resolving Parenthesis
[tex](-5-7)^2-(10)^2\\(-12)^2-100\\144-100[/tex]
=> 44
Answer:
[tex]\boxed{44}[/tex]
Step-by-step explanation:
[tex][-5+(-7)]^2-(7+3)^2[/tex]
Solve for brackets first.
[tex][-12]^2-(10)^2[/tex]
Solve the exponent or power.
[tex]144-100[/tex]
Subtract the numbers.
[tex]=44[/tex]
a:b=7.2
How many times larger is a than b?
Does anyone understand this?
PLEASE HELP ASAP
Answer:
3.5 times as large
Step-by-step explanation:
The ratio can be written using a colon or a fraction bar. In the latter case, simplifying the fraction gives you your answer:
a : b = 7 : 2 = 7/2
'a' is 7/2 = 3.5 times as large as 'b'
if 12 1/2% of a sum of money is $40, what is the TOTAL sum of money?
Answer:
$320
Step-by-step explanation:
Let the total sum of money be $x.
Therefore,
12 1/2% of x = 40
25/2% * x = 40
0.125 * x= 40
x = 40/0.125
x = $320
Thus, total sum of money is $320.
Solve the equation using the zero-product property. (2x − 8)(7x + 5) = 0 x = –2 or x = 7 x = –4 or x = x = 4 or x = x = 4 or x =
Answer:
x = 4 or x = - [tex]\frac{5}{7}[/tex]
Step-by-step explanation:
Given
(2x - 8)(7x + 5) = 0
Equate each factor to zero and solve for x
2x - 8 = 0 ⇒ 2x = 8 ⇒ x = 4
7x + 5 = 0 ⇒ 7x = - 5 ⇒ x = - [tex]\frac{5}{7}[/tex]
BRAINLIEST, 5 STARS, THANKS AND 100 POINTS IF ANSWERED BOTH CORRECTLY. --------------------- Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 3, 2, 1, 0, -1 A) y = x + 1 B) y = x - 1 C) y = -x + 1 D) y = -x - 1 --------------------- Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 14, 11, 8, 5, 2 A) y = 3x + 8 B) y = -3x - 8 C) y = 3x - 8 D) y = -3x + 8 -------------------- Thank you if you answered both correctly!
Answer:
1: C) y = -x + 1
2: D) y = -3x + 8
Step-by-step explanation:
Well number 1,
c is the correct option because,
-2 -> 2
2+1 - 3
This rule applies for all the x values.
2,
X: -2, -1, 0, 1, 2
Y: 14, 11, 8, 5, 2
d is the correct option because -3*-2 is 6 + 8 = 14.
this rule applies for all x values.
Thus,
the answers are C and D.
Hope this helps :)
Which side lengths form a right triangle?
Answer:
B
Step-by-step explanation:
sqrt30 -6^2 doesn't work
2.5 sqrt18 and 5 do work
Tom and Harry live 24km from each other, which on the map is 5 cm Given that the distance on the map between Harry and the Sea view is 4cm Find the actual distance between Harry and the Sea view.
Answer:
19.5 km
Step-by-step explanation:
the actual distance between Harry and the Sea view:
if 24 km is 5 cm on map
24*4/5= 19.5 km