Answer:
280 pencils
Step-by-step explanation:
c = colored pencil
p = plain pencil
8 is outside the bracket as we multiply the whole thing by 8 classes :
8 (10c + 25p )
Now we take the 8 in for EACH term
8 × 10c = 80c
8 × 25p = 200p
So our final answer is
80 + 200 = 280
Hope this helped and have a good day
Find the slope of the line that passes through (-26, -23) and (24, 42).
Answer:
13/10
Step-by-step explanation:
\(m = \frac{ - 23 - 42}{ - 26 - 24 } \\ = \frac{65}{50 } \\ = \frac{13}{10} \)
5.401 \times 10^{-1} = {?}5.401×10 −1 =?
Answer:
2.005 x 10^2
Step-by-step explanation:
. Which segment is a dilation of BC using A as the center of dilation and a scale
factor of ?
2. Which segment is a dilation of BC using A as the center of dilation and a scale
factor of ?
3. Which segment is not a dilation of BC, and how do you know
Using A as the center of dilation and a scale factor, BC is dilated by 12 units.
What is scale factor?In the ratio indicated by the scale factor, a line segment dilates by becoming longer or shorter. The segments (sides) of the image will be longer than the corresponding sides of its pre-image if the scaling factor is more than 1 (k > 1). (an enlargement).If both the new and original dimensions are known, the scaling factor may be determined. A figure's scale factor can be calculated using the following simple formula: Dimension of the original shape minus the dimension of the new shape is the scale factor.To learn more about scale factor refer to:
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Determine whether each statement is always true, sometimes true, or
never true.
1. Every square is a rhombus.
2. Every rhombus is a parallelogram.
3. Every rectangle is a parallelogram.
4. The diagonals of a square are perpendicular.
5. If the diagonals of a quadrilateral bisect each other, then the
quadrilateral is a square.
6. If the diagonals of a quadrilateral are perpendicular, then the
quadrilateral is a rhombus.
7. The diagonals of a rectangle are congruent.
8. The diagonals of a rhombus bisect the vertex angles.
9. Some rectangles are rhombi.
10. Some rhombi are squares.
Here the statements 1, 2, 3, 4, 5, 7, 8, 10 are correct according to the rules of the shapes.
1: A rhombus is a quadrilateral with four equally sized sides. Each square is a rhombus since they all have four sides that are the same length. 2: Due to the parallel alignment of its opposing sides, every rhombus is a parallelogram. 3: It is true that all rectangles are parallelograms since they have two sets of parallel sides and two pairs of equal opposing sides. 4: The other is split into two equal halves by each bisector. 5: If a quadrilateral's diagonals are equal and bisect one another at right angles, it is a square. 7: Since the diagonals themselves are congruent, each bisected line segment is also congruent. 8: The diagonals split a rhombus's vertex angles into equal halves. The diagonals of a rhombus are at right angles to one another. 10: A square is a rhombus. Sometimes, this is accurate. When a rhombus has four right angles, it is true. So the statements 1,2,3,4,5,7,8,10 are correct.
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4. Betty Kusack and Theresa Peña together can do a job in 20 hours. Working alone,Betty can do the job in 60 hours. How long would it take Theresa, working alone, todo the job?AnswerH
Given:
Betty and Theresa together complete a job in 20 hours.
Betty alone does a work in 60 hours.
The aim is to find the time Theresa will take to complete the job alone.
Therefore,
Betty and Theresa's 1 day work:
\(=\frac{1}{20}\)Betty's 1 day work when he works alone:
\(=\frac{1}{60}\)Now, Theresa's 1 day work when he works alone is given by:
\(\begin{gathered} =\frac{1}{20}-\frac{1}{60} \\ =\frac{3-1}{60} \\ =\frac{2}{60} \\ =\frac{1}{30} \end{gathered}\)Hence, Theresa can do the job in 30 hours working alone.
help pls!!!!!!!!!!!!
Answer:
Step-by-step explanation:
E - 4,-2
F - 6, -3
G - 1, -4
The machinery in a cereal plant fills 350 g boxes of cereal. The specifications for the machinery permit for a certain amount of fill tolerance. It is found that the weights of filled cereal boxes are normally distributed with a mean of 350 g and a standard deviation of 4 g. What is the probability that a box of cereal is under filled by 5 g or more?
There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.
First, we can standardize the problem by using the z-score formula:
z = (x - μ) / σ
Where:
x = the weight value we want to find the probability for (345 g in this case)
μ = the mean weight (350 g)
σ = the standard deviation (4 g)
Substituting the values into the formula:
z = (345 - 350) / 4 = -1.25
Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.
The probability of obtaining a z-score less than -1.25 is approximately 0.1056.
However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.
The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.
Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.
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6. The fixed costs of producing a Wild Widget are $34,000. The variable costs are $5.00 per widget. What is the average cost per widget of producing 7,000 Wild Widgets? Round to the nearest cent. :))))
Answer: To calculate the average cost per widget, we need to consider both the fixed costs and the variable costs.
Fixed costs: $34,000
Variable costs per widget: $5.00
Total costs = Fixed costs + (Variable costs per widget × Number of widgets)
Total costs = $34,000 + ($5.00 × 7,000)
Total costs = $34,000 + $35,000
Total costs = $69,000
Average cost per widget = Total costs / Number of widgets
Average cost per widget = $69,000 / 7,000
Average cost per widget ≈ $9.86
Therefore, the average cost per widget of producing 7,000 Wild Widgets is approximately $9.86.
Step-by-step explanation: :)
Determine the equation of the linear function that generates the following table of values.
the equation of the Linear function will be f(x) = -19x + 14.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given a data set of a linear function
The slope-intercept form of the equation of a line
y=mx+b,
where m is the slope
b is the y-intercept (the value of y, at x = 0)
since, slope = (y - y')/(x -x')
In our case,
Slope = (128 -90)/ (-6 + 4)
Slope = 38/-2
Slope = -19
And b = 14 (Given)
Thus,
The equation of Line:
y = -19x + 14
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Find the missing angle according to the Triangle Sum Theorem.
Answer:
k = 140 degrees.
The missing INTERIOR angle is 40 degrees.
Step-by-step explanation:
The missing interior angle would be 40.
Triangle angle sum theorem states the 3 interior angles of a triangle sum to 180.
64+76+40 = 180
The exterior angle theorem states the exterior angle of a triangle is equal to the sum of the two remote interior angles of the triangle.
Exterior angle k = 64+76
k= 140
Point A’ is the image of Point A when point A is rotated about the origin B. What angle in the counterclockwise direction is A rotated through?
Answer:
90 degrees
Step-by-step explanation:
Can someone help me with this
Step-by-step explanation:
it is still precisely the same method and formula just with different numbers.
y = -16x² + 212x + 139
we assume, the ground is at 0 ft.
so, we need to solve
0 = -16x² + 212x + 139
the general solution for such quadratic equations is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = -16
b = 212
c = 139
x = (-212 ± sqrt(212² - 4×-16×139))/(2×-16) =
= (-212 ± sqrt(44944 + 8896))/-32 =
= (-212 ± sqrt(53840))/-32
x1 = (-212 + 232.0344802...)/-32 = -0.626077506... s
x2 = (-212 - 232.0344802...)/-32 = 13.87607751... s
again, the negative solution for time did not make any sense, so, x2 is our solution.
the rocket will hit the ground after about 13.88 seconds.
Ramon read 12 pages in 20 min. How many pages can he read in 30 min?
Answer:
18 pages
Step-by-step explanation:
20 : 2 = 10 minutes
12 : 2 = 6 pages
10 x 3 = 30 minutes
3 x 6 = 18 pages
The sail on a boat is triangular and its area is 216 feet. If the length of the base of the sail is 18 feet, find its
height.
Answer:
24
Step-by-step explanation:
Use the triangle area formula: A=1/2 (base)(height)
Plug in what we know: 216=1/2(18)(h)
Solve for h: (1/2)(18)=9.
216/9=24.
So, h=24
To check, plug it into the formula: 1/2(18)(24)= 216
Which symbol correctly relates 23 ? 16 check all that apply
Answer:
C and E
Step-by-step explanation:
23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.
Find the slope of the line that passes through each pair of points
#1 (-2,-5) (-7,10)
#2 (-2, -11) (5,6)
#3 (6,3), (-9,-11)
(a) At Garcia's Bike Rentals, it costs $33 to rent a bike for 8 hours.How many dollars does it cost per hour of bike use?dollars per hour I need help with this problem.
Given:
Total cost to rent a bike: $33
Total time: 8 hours
To find the cost per hour, divide the total cost by the total time.
Cost per hour: $33/8hour
Cost per hour: 4.12 $/hour
Answer: 4.12 $/hour.
2. Select all the equations that
describe the situation and then
find the solution.
Each notebook contains
60 sheets of paper. Andre
has 5 notebooks. How
many sheets of paper do
Andre's notebooks
contain?
i.y = 60÷5
ii. y = 5 times 60
iii. Y/5 = 60
iv. 5y = 60
Answer: i. y = 60÷5
Step-by-step explanation: If he has 60 sheets of paper and 5 notebooks, it would only make sense to divide the number of sheets by the number of notebooks to get the sum. Which is 12 btw! <33
how many decimeters are in 5 kilometers. please show your work by using the power of 10 to show the work its due in 12 minutes PLZ HELP
Answer:
There are 50,000 decimeters in 5 kilometers
Step-by-step explanation:
as for showing my work not really sure what you want me to do it's pretty straightforward, butttttttt what i did was multiply the length value by 10,000, so \(10,000=10^4\)
I'm not sure if that's what you're looking for but I hope this helps :)
Work out the length of x. Give your answer rounded to 3 significant figures. 13.3 mm 5.5 mm The diagram is not drawn accurately. X = 0 mm x
Step-by-step explanation:
Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.
To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.
Perimeter = 13.3 mm + 5.5 mm + X mm
The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.
To find X, we can subtract the sum of the known sides from the perimeter:
X mm = Perimeter - (13.3 mm + 5.5 mm)
Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.
2x + 8 > -4. 2.find the solution set of x and express the solutions set in number form
The solution set of this inequality is {x| x > -6.1}
How to find the solution set?Here we have the inequality:
2x + 8 > -4.2
To find the solution set, we need to isolate the variable x in one of the sides of the inequality. Doing that we will get:
2x + 8 > -4.2
2x > -4.2 - 8
2x > -12.2
x > -12.2/2
x > -6.1
So the set of all numbers larger than -6.1, this in number form is:
{x| x > -6.1}
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The following square has the perimeter of 36 units. Find the value of X.
Given data:
Perimeter of the saquare is 36 units.
The side of square is x+3
the formula to find the perimeter of the square is 4a.
to find the value of x ,
\(\begin{gathered} 4(x+3)=36 \\ 4x+12=36 \\ 4x=36-12 \\ 4x=24 \\ x=\frac{24}{4} \\ x=6 \end{gathered}\)Therefore, x = 6.
The vertices of a rectangle in the coordinate plane are located at (4, -3), (4,5), (-5,5), and (-5, -3).
whats 5x5? Maybe will mark brainiest
Answer:
25
Step-by-step explanation:
5x5 = 25
Answer:
25
Step-by-step explanation:
Let's go through our times tables really quick!
5x1 = 5 (5 + 0)
5x2 = 10 (5 + 5)
5x3 = 15 (5 + 5 + 5 [10 + 5])
5x4 = 20 (5 + 5 + 5 + 5 [15 (5x3) + 5)
As we can see, if we know 5x4, we can easily find 5x5! It's just 5x4 + 5
So, 5x5 is 25
Hope this helped!
WHAT iS 2+{9-2[32+5(1+2)]}
Answer:
-83
Step-by-step explanation:
it's too complicated to put an explanation, sorry
Identify the volume of the pyramid.
21 in.
8 in.
7 in.
Twenty-seven less than twice a number is -59
Answer:
yea
Step-by-step explanation:
Nice good beautiful
Question in the image
Answer:
D
Step-by-step explanation:
amplitude is the distance between the center line (in THIS case, the x-axis) and the highest peak
period is the "time" it takes for the function to complete one FULL cycle. since the function starts positive from (0,0), and returns from its first lowest point up to (6,0), you find the period by subtracting 6-0.
write a short reflection about a time where you've seen waves and describe what you remember about the amplitude frequency and wavelength of these waves and how they might have to use those terms in your story and describe what they mean
I have seen waves on the surface of the sea.
These were waves that changed over time, and an object that was on the surface (an empty plastic bottle) will go up and down with time, but NOT displacing horizontally.
If I could measure the difference between when the bottle was at the top of a rest or at the bottom, I would say that the "peak-to-peak) distance was about 4 feet, which would make the actual amplitude of the wave of a 2 feet magnitude.
The frequency of the wave movement was associated with how fast the bottle will swing up and down. If I recall correctly it would take a little more than a second to go from top to bottom, which will make the frequency of about one full cycle every 3 seconds: f = 1/3 (1/sec)
The function T(d)=10d + 20 gives the temperature in deegrees celcius inside the earth as a function if d, the depth in kilometers ,Find the temperature at.
Answer:
Step-by-step explanation:
The question is incomoplete. Here is the complete question.
The function T(d)=10d + 20 gives the temperature in deegrees celcius inside the earth as a function if d, the depth in kilometers ,Find the temperature at 5km, 20km and 100km
T(d)=10d + 20
T(5)=10(5) + 20
T(5)= 50+ 20
T(5) = 70
Hence the temperature is 70 when d = 5km
when d = 20km
T(20)=10(20) + 20
T(20)= 200+ 20
T(20) = 220
Hence the temperature is 220 when d = 20km
when T = 100km
T(100)=10(100) + 20
T(100)= 1000+ 20
T(100) = 1020
Hence the temperature is 1020 when d = 100km
The temperatures at 5km, 20km and 100km are; 70°C, 220°C, and 1020°C respectively.
The complete question requires that we find the temperature at 5km, 20km and 100km.
The temperature function is; T(d)=10d + 20
For 5km;
T(5)=10(5) + 20T(5) = 70°CFor 20km;
T(20) = 10(20) + 20T(20) = 220°CFor 100km;
T(100)=10(100) + 20T(100) = 1020°CRead more;
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