Answer:
3280cm²
Step-by-step explanation:
We are told the gift box is folded into a Pyramid with a square base.
Hence, we are to find the Surface Area of a square pyramid
From the question, we are given:
Length of the base of the square = 10cm
Triangle
Side length = 10cm
Height = 8 2/3 cm
A square Pyramid has 5 faces: 4 triangles and 1 square.
Step 1
Find the Area of the square
Formula = Side length² this is because all the side of a square is equal.
Length of the base = 10cm
Area of the square = (10cm)²
= 100cm²
Step 2
Find the Area of the triangle. We are told the 4 triangles are equilateral, which means their side are equal.
Hence, for one triangle.
Area of a triangle = 1/2 × base × height
Base = side length = 10cm
Height = 8 2/3 = 8.6666666667cm
Area of a triangle = 1/2 × 10 × 8.6666666667
Area of a triangle = 43.333333333cm²
Since we have 4 triangles
We would have : 4 × 43.333333333cm²
= 173.33333333cm²
The Area of the 4 equilateral triangles =
173.33333333cm²
Step 3
The Surface area of the Square Pyramid
= Sum of the areas of all the faces.
= 100cm² + 173.33333333cm²
= 273.33333333cm²
Therefore, the minimum amount of cardboard needed to make one gift box = 273.33333333cm²
Step 4
The minimum amount of cardboard Holly needs to create 12 gift boxes to wrap each pair of earrings individually is calculated as: 12 × 273.33333333cm²
= 3280cm²
Reid's Hardware discounts all riding lawnmowers 6% to customers paying in cash. If Trey paid $1,278.75 in cash for a riding lawnmower, then what was the original price of the lawnmower?
Answer:
$ 1360.37
Step-by-step explanation:
Suppose we call the original price of the lawnmower x.
That means, to get a discount, the equation would be,
x * 1 - x * 6% = 1278.75
= (94/100) * x = 1278.75
= (47/50) * x = 1278.75
x = 1278.75 * 47 / 50
= 1360.37
Which of the following equations have infinitely many solutions? Choose all answers that apply:
Answer:
Options B, C and D.
Step-by-step explanation:
Those are the answers because when you solve the equation, the same values are on both sides of the equation. example option B;
-19x -19 = -19x-19
Add 19 to both sides of the equation to get rid of -19
-19x -19 +19 =-19x -19 +19
Divide both sides by -19
[tex]\frac{-19x}{-19} = \frac{-19x}{-19}[/tex]
x = x
What is James average speed on his outward journey
Answer:
We wish to find his rate...
km per minute or km per hour:
His total time is: 15 + 5 + 20 = 40 minutes
His total distance is 2 km
Rate in km/minute: 2/40 = 1/20 = 0.05 km/minute
If you want km/hour then:
(0.05 km/minute)(60 minutes/hour) = 3 km/hour or kph
Step-by-step explanation:
James walks 1 km away from home in 15 minutes. He stops and rest for 5 minutes and then walks back home along the same path, but he spent 20 minutes to reach home.
What is the difference between -4 and 6
[tex]answer = - 10 \\ solution \\ - 4 - 6 \\ = - 10 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Answer:
[tex] - 10[/tex]
Step-by-step explanation:
We know that,
[tex]( - ) \times ( + ) = ( - )[/tex]
[tex]( - ) + ( - ) = ( - )[/tex]
Let's solve
[tex] - 4 - ( + 6) \\ - 4 - 6 \\ = - 10[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
"Write an equation that you can use to represent the volume of a square prism. Use b to represent the length and width of the base. Use h to represent the height of the prism. Use espantes if possible. Then explain your answer." Please help I need to turn in this in 10 minutes
Step-by-step explanation:
A square prism is a cube. The equation that represents the volume of a cube is:
length*width*height
or, in your case, b*b*h
If you are talking about a square-based pyramid, then you use 1/3 * length * width * height or 1/3 * b * b * h. You can use the exponents where needed.
step 1
a) Suppose you are able to download 1 free song to your tablet daily and each additional download costs $0.59. If your monthly bill is $15.34, how many songs did you download if you downloaded 28 free songs? Write an equation and solve for the unknown variable.
b) Your uncle Jim lives in England, where the current exchange rate is 1.64 US dollars for each British pound. Solve for the amount of your monthly bill, to the nearest hundredth, if you lived in England.
c) If you had an additional 1.65 pounds to download songs, how many more songs could you have downloaded? Write and solve an equation to solve the problem. Describe the step-by-step process you used to solve the problem.
Answer:
a. 54
b. 9.35
Step-by-step explanation:
a. First, divide 15.34 by 0.59 to find the number of songs you had to pay for.
15.34/0.59 = 26
then add it to the number of free songs you downloaded
26 + 28 = 54
b. divide 15.34 by 1.64
15.34/1.64 = 9.35
for c I would just multiply 1.65 by the usd exchange rate (1.64) which is 2.10 so you could afford 3 more songs but I don't know what equation exactly you would use or if what I did works.
Simplify the Expression : -20 - (-5) * (-2^2)
Answer:
-40
Step-by-step explanation:
-20-(-5)*(-2^2)
- and a - = positive
-2^2 = -4 but if it was (-2)^2 then it would be 4
-20+5*(-4)
order of operations
-20-20
-40
hope this helps
Please help me with my question!!
Answer:
Step-by-step explanation:
y = 10x + 50
x ---> no of weeks
y - intercept = 50
I don’t know if this is correct , please help !!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
change the negative to not domain and the zero to in domain
Step-by-step explanation
Write a rule for the linear function in the graph
(0, 1) , (5, 3)
Answer: x = 5, y = 2
Step-by-step explanation
x = 0, x = 5
5 - 0 = 5
y = 1, y = 3
3 - 1 = 2
Please help?
1: The x-intercepts of a quadratic function are -3 and 5. What is the equation of its axis of symmetry?
#2: The solutions to a quadratic equation are x = 2 or x = -3. What are the x-intercepts of the related quadratic function?
Answer:
see explanation
Step-by-step explanation:
(1)
The axis of symmetry is situated midway between the x- intercepts, thus
x = [tex]\frac{-3+5}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1
Equation of axis of symmetry is x = 1 → d
-----------------------------------------------------
(2)
The x- intercepts of a quadratic are the solutions, thus
x = 2 and x = - 3 → b
Write a rational expression that simplifies to (x-1)/(x+2), x≠-4, -2
Answer: [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)}[/tex] which is the same as [tex]\frac{x^2+3x-4}{x^2+6x+8}[/tex]
If the math notation does not load properly, or the font size is too small, then it says ( (x+4)(x-1) )/( (x+4)(x+2) ) which is the same as (x^2+3x-4)/(x^2+6x+8)
==========================================================
Explanation:
We see that x cannot equal -2, as this prevents the denominator (x+2) from becoming zero. If x = -4, then x+4 = 0. So x not allowed to be -4 means (x+4) is prevented in being zero, and this is the missing factor in the denominator. We can never divide by zero.
Multiply top and bottom of this given fraction by (x+4) to get [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)}[/tex]
Note how the (x+4) terms divide and cancel to get back to the original fraction given. The portion [tex]x \ne -4[/tex] sticks around to make sure the domains line up properly.
----------
Optionally you can expand out each product in the numerator and denominator to get
(x+4)(x-1) = x^2-x+4x-4 = x^2+3x-4
(x+4)(x+2) = x^2+2x+4x+8 = x^2+6x+8
I used the FOIL rule
So, [tex]\frac{(x+4)(x-1)}{(x+4)(x+2)} = \frac{x^2+3x-4}{x^2+6x+8}[/tex]
Please help with this
Answer:
D
Step-by-step explanation:
By the Pythagorean theorem:
[tex]18^2+24^2=x^2[/tex]
Therefore, answer choice D is correct. Hope this helps!
Which function is graphed on the right?
There is no picture ; - ;
Answer:
its C
Step-by-step explanation:
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
THANKS FOR GIVING BRAINLIEST.
So we need to first find out f(7)
That would be if you look at the line its -1 on the y.
g(-1) on the line is 1 on x
10*-1+9*1
= -10+9
answer is -1
Answer:
10* f(7) +9* g(-1) = -1
Step-by-step explanation:
f(7) = -1, g(-1) = 1
10* f(7) +9* g(-1) = 10*(-1) +9*1 = -10 + 9 = -1
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integ
Plzzzzzz answer fast I need help
Answer:2,3,4
Step-by-step explanation:
What is the slope of the line that passes through the points (4,7) and (5,3)?
I will be showing you the graphing method.
To find the slope of the line using the graphing method,
we start by plotting our two points.
We will call (4,7) point A and (5,3) point B.
Now daw a line that contains these points.
Now remember that the slope or m is equal to the rise/run.
So to get from point A to point B, we rise -4 units
and run 1 unit so our slope is -4/1 or -4.
the transformation shown is a rotation
true or false
Answer:
True
Step-by-step explanation:
Please help me with my question!!
Answer:
B
Step-by-step explanation:
If two lines are parallel, then their slopes are equal.
Line 1: y = 2x + 6
slope = 2
Line 2:
(1 , 5) ; (3,9)
[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{9-5}{3-1}\\\\=\frac{4}{2}\\\\=2[/tex]
Slope of line 1 = slope of line 2 = 2
So, line 1 and line 2 are parallel
Use factoring to solve. *
x^2-4x-12=0
please only give me the right answer I really need it
Answer:
(6, -2)
Step-by-step explanation:
x^2-4x-12=0. 1 from 1x. -4 from -4x
(x - 6)(x + 2) = 0 1 * -12 = -12. -4
x - 6 = 0 -6 * 2 = -12. -6 + 2 = -4
+ 6 +6
x = 6
x + 2 = 0
-2. -2
x = -2
Will give brainliest ! Just need the answer thats all
Answer:
Brainliest here!
Step-by-step explanation:
for this, its every number thats either 0 or less than 0
B,D,E
Mike's Bikes has mountain bikes that usually sell for $275 on sale for $220. Mike used this ratio to find the percent change. Is he correct? Explain. StartFraction 55 over 220 EndFraction = 25 percent
Answer:
No. Mike wrote the ratio as the amount of change to the new amount. He should have used the ratio of the amount of change to the original amount, which is 55
55/275 , or 20%.
Step-by-step explanation:
took the test on edg <3
Answer:
SAMPLE RESPONSE :No. Mike wrote the ratio as the amount of change to the new amount. He should have used the ratio of the amount of change to the original amount, which is 55
275
, or 20%.
Step-by-step explanation:
please answer asap! A couple plans to have 5 children. The gender of each child is equally likely. Design a simulation involving 125 trials that you can use to model the genders of the children. Write your answers as numbers.
Step-by-step explanation:
The gender of a child which is either a boy or a girl is determined by the XX-chromosomes, or XY-chromosomes.
Since the couple plan to have 5 children, the chance of a child being a boy is equal to the chance of it being a girl - the chances are 50/50.
What we do to achieve our aim is to run a simulation that would add an X or Y to an X for all 5 children.
Doing this 125 times, we obtain the number of trials we desire.
For each trial, we get for each child, C:
C1: X + (X or Y)
C2: X + (X or Y)
C3: X + (X or Y)
C4: X + (X or Y)
C5: X + (X or Y)
Since the chance of having an X is equal to the chance of having a Y, they equal probability, which is 0.5 for each.
identify the expression as a numerical expression or a variable expression.For variable expression, name the variable 1×12
Answer:
o7 fy hk hpxi oyli ifuod pir8
Divide 40 kg in the ratio 3:2.
Answer:
24:16
Step-by-step explanation:
to find 1 part = 40/5 (you add the total of the ratio: 3+2)
so 8 and then times 8 by 3 and 8 by 2 to get the parts
Answer:
24 and 16
Step-by-step explanation:
First find the number of parts: 3+2 = 5.
then, divide 40 by 5 to find how much is available for each part. This way, you get 8.
Then to find the value for each section of the ration, multiply eight by the corresponding side.
8 x 3 = 24
8 x 2 = 16
Hope this helps.
Please mark brainiest
Clara goes mini golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Clara pays for admission and the number of rounds she golfs is $26.25. Which equation can be used to determine the number of rounds, x, that Clara golfs?
6.25x + 7.50 = 26.25
6.25x - 7.50 = 26.25
7.50x + 6.25 = 26.25
7.50x - 6.25 = 26.25
Answer:
6.25x + 7.50 = 26.25
Step-by-step explanation:
Given that
The admission fee is = $7.50
Each round costs = $6.25
Total money Clara paid = $26.25
The computation of equation can be used to determine the number of rounds, x, that Clara golfs is shown below:-
we assume the number of rounds = x
Here, We can denote this equation in the following form
[tex]6.25x+7.50=26.25[/tex]
Therefore with the help of above equation we can now find out the x value
[tex]6.25x=26.25-7.50[/tex]
[tex]=> 6.25x=18.75[/tex]
[tex]=> x = 3[/tex]
So, Clara played 3 rounds of golf.
Use factoring to solve
2x^2-17x-35=0
Answer:
This does not factor
Step-by-step explanation:
2x^2-17x-35=0
Since the x^2 has a coefficient of 2
(2x ) ( x )
Looking at the factors of -35
-1 35 1, -35
-5 7 5, -7
We need to get to -17
You cannot factor this
-
Solve the inequality 5(2x + 1) < 10.
A. x < 1/2
B. x > 1/2
C. x < 3/2
D. x > 3/2
Answer:
A is the answer
Step-by-step explanation:
5(2x+1)<10
10x+5<10
-5 -5
____________
10x<5
—— —-
10 10
———————-
x < 1/2
Answer:
a.x<1/2
Step-by-step explanation:
5(2x+1)<10
2x+1< 5/10
2x+1<2
2x<2−1
2x<1
x< 1/2
mark brianliest if my answer suit your question
What is a reasonable product of 3 9/10× 4 1/5?
Answer: 16.38
Step-by-step explanation: I had this same math problem a while ago and got it right.
Answer:
hello 55
Step-by-step explanation: