Answer:
D. 496
Step-by-step explanation:
Start by finding original number of pens:
15 boxes x 40 pens per box = 600 pens in all
find number of pens taken:
26 workers x 4 pens each = 104 pens taken
Find number of pens left:
600 original - 104 taken = 496 left
Answer: D. 496
Answer:
D
Step-by-step explanation:
15x40=600
26x4=104
600-104=496
If l is parallel to m in the following figure, find the measure of x
Check the picture below.
What is the linear
function?
x=4, 5, 6, 7
Y = -24, 30, 36, -42
Answer:
[tex]y = -6x[/tex]
Step-by-step explanation:
We can see that with every [tex]x[/tex] value that increases, the [tex]y[/tex] value decreases by [tex]-6[/tex]. Thus the slope is [tex]-6[/tex], which would make the equation: [tex]y = -6x[/tex].
Find the area of this semi-circle with diameter,
d
= 11cm.
Give your answer rounded to 2 DP.
Find the area of the figure. Round to the nearest hundredth where necessary.
22 ft
30 ft
What is the approximate area of the following circle?
Answer:
[tex]38.47 {m}^{2} [/tex]
Step-by-step explanation:
The formula to find the area of a circle is
[tex] a= \pi {r}^{2} [/tex]
We know that
[tex]\pi = 3.14 \: \: \: \: \: \: r = 3.5[/tex]
Therefore the area is
[tex] a= \pi {r}^{2} \\ \\ a = (3.14) {(3.5)}^{2} \\ \\ a = 3.14 \times 12.25 \\ \\ a = 38.47 {m}^{2}[/tex]
your friend wants to sell his car toyota suv your friend did some online research on similar cars and found the following prices 13500, 12900,15300,13700,12000,. What do you think would be a reasonable price for your friend to sell the car? how did you come up with this price
1. A reasonable price for my friend to sell the car is $13,480.
2. This price is determined as an average of the prices of similar cars.
What is an average?An average is a typical value in a dataset.
An average is the mean of a set of numbers.
The average value can be computed by summing the set of numbers and dividing the result by the number of items.
Data and Calculations:Prices of similar cars:
A. 13,500
B. 12,900
C. 15,300
D. 13,700
E. 12,000
Sum = $67,400
Average = $ 13,480 ($67,400/5)
Thus, a reasonable price for my friend to sell the car is $13,480, which is the average price of similar cars.
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A collectors item is purchased for $150 and it’s value increases by 3% each year. Which graph can be used to determine approximately how many years it will take for the value to double
Answer:
we are given A collector’s item is purchased for $150so, its value increases by 3% each yearso, t is time in yearsLet's assume cost of item after t years is C(t)so, we can use formula now, we can plug values so, equation is After doubling C(t)=2*150=300so, we can set C(t)=300and then we can solve for twe get so, doubling time is 23.44977 years
Answer:
B works ; it starts at 150, is positive, and slowly reaches 300
Step-by-step explanation:
Edge
simplify the following
Answer:
[tex]-20\sqrt{3}-5\sqrt{2}[/tex]
Step-by-step explanation:
Given expression:
[tex]4 \sqrt{12}-\sqrt{50}-7\sqrt{48}[/tex]
Rewrite 12 as 4 · 3 and 50 as 25 · 2 and 48 as 16 · 3 :
[tex]=4 \sqrt{4 \cdot 3}-\sqrt{25 \cdot 2}-7\sqrt{16 \cdot 3}[/tex]
[tex]\textsf{Apply radical rule} \quad \sqrt{a \cdot b}=\sqrt{a}\sqrt{b} :[/tex]
[tex]=4 \sqrt{4}\sqrt{3}-\sqrt{25}\sqrt{2}-7\sqrt{16}\sqrt{3}[/tex]
As [tex]\sqrt{4}=2[/tex] and [tex]\sqrt{25}=5[/tex] and [tex]\sqrt{16}=4[/tex] then:
[tex]=4 \cdot 2 \sqrt{3}-5\sqrt{2}-7 \cdot 4\sqrt{3}[/tex]
Simplify:
[tex]=8\sqrt{3}-5\sqrt{2}-28\sqrt{3}[/tex]
Collect like terms:
[tex]=8\sqrt{3}-28\sqrt{3}-5\sqrt{2}[/tex]
Combine like terms:
[tex]=-20\sqrt{3}-5\sqrt{2}[/tex]
So i tried sloving number b but when i add them i got 25.05 pls help me who will give me how to slove it i will mark the brainlist
Answer:
Original price = t = $24
Expression = t + 0.05t
—-
New price = t + 0.05t = 24 + (0.05*24) = $25.20
—-
Have a nice day!!
Answer:
$25.20
Step-by-step explanation:
Original price = t = $ 24
New price = 1.05*24
= 25.20
Just multiply 1.05 by 24
The table below shows the distribution of votes for Student Government President elections.
1.What is the probability that a junior voted for Dao?
2.Voted for Wolber
3.Votes for Keegan and was from the sophomore class.
Answer:
1 out of 3 people vote for junior
Step-by-step explanation:
Please answer thxxxx
Hence, [tex]x=13cm[/tex].
What is the triangle?
A triangle is a two-dimensional shape, in Euclidean geometry, which is seen as three non-collinear points in a unique plane.
Here given that,
Perpendicular is [tex]12cm[/tex]
Base is [tex]5cm[/tex]
Hypotenuse is [tex]x[/tex]
As we know,
[tex]H^2=B^2+P^2[/tex] ........[tex](1)[/tex]
Now substitue these values in equation [tex](1)[/tex], we get
[tex]H^2=(5)^2+(12)^2\\\\x^2=25+144\\\\x^2=169\\\\x=\sqrt{169}\\\\x=13cm[/tex]
Hence, [tex]x=13cm[/tex].
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what is the mean of 10,16,14,12and 16?show the solution pls...
Answer:
13.6Step-by-step explanation:
what is the mean of 10,16,14,12and 16?
Find the sum of the values by adding them all up.
Divide the sum by the number of values in the data set.
10 + 16 + 14 + 12 + 16 = 68
68 : 5 = 13.6
or
(10 + 16 + 14 + 12 + 16) : 5 = 13.6
Which is true about the line whose equation is y + 3 = 0?
The slope is 3.
The y-intercept is 3.
The slope is zero.
The value of x always equals the value of y.
Answer:
The slope is 0
Step-by-step explanation:
Solve the equation for y
y+3=0
y = -3
The slope intercept form is
y = mx+b
where m is the slope and b is the y intercept
y = 0x-3
The slope is 0 and the y intercept is -3
Answer: The Slope Is 3
Step-by-step explanation:
You are missing the x after the 3.
considering the linear equation y=mx+b, the coefficient of x is ALWAYS the slope (rate of change)
what is the y-intercept of this line y= x/5-12
Answer:
(0, -12)
Step-by-step explanation:
The y-intercept of a line can be found when taking x = 0.
Therefore,
y = 0 - 12y = -12The y-intercept of the line is (0, -12)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
◈ What is the y-intercept of the line, [tex]\bold{y=\dfrac{x}{5} -12}\textit{?}[/tex]
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]
◈ Here's a shortcut to find the y-intercept.
Here's the equation:-
[tex]\large\textbf{y=x/5-12}[/tex]
[tex]\square\!\!\!\!\!\!\triangle[/tex] The y-intercept is a negative or positive constant that's added to or subtracted from the slope.
Constant:- A number with no variables next to it (for example, in the expression d-12, -12 is the constant)
So we conclude that
[tex]\Huge\textit{The y-intercept is -12}[/tex].
The y-intercept is usually written as (0, -12).
Good luck.- -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
If you want to make a comment that won’t be seen in r console (output) use .. what
#
print (“ “)
sum ()
rflip()
Draw lines to match equivalent time intervals.
day
5 days
6 days
120 hours
13 weeks
144 hours
-12
10 days
720 minutes
91 days
240 hours
Answer:
120h = 5 days
240h = 10 days
144h = 6 days
720m = 1/2 (half a day)
13w = 91 days
please make this brainliest
b) In one year, Clara and Dave borrowed books from a library in the ratio 3:7. Dave borrowed 35 books. Work out the number of books borrowed by Clara.
3:7 =
3/7
3/7 = x/35
7x = 105
x = 15
answer : clara borrowed 15 books
I think it would be 15, because 3 doesn't go in evenly into 35. You might have the order of the ratio messed up.
NO LINKS!! Please help me with this graph. Part 2
[tex]\large{\boxed{\sf y = \dfrac{2}{3} | x -6|- 7}}[/tex]
Explanation:Absolute value of a graph formula:
y = a |x -h| + kIdentify the vertex : (h, k) = (6, -7)
Take two points: (6, -7), (9, -5)
[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \ \dfrac{-5-(-7)}{9-6} \ = \ \ \dfrac{2}{3}[/tex]
Join them to build the equation: [tex]\bf{y = \dfrac{2}{3} |x - 6| - 7}[/tex]
Answer:
[tex]g(x)=\dfrac{2}{3}|x-6|-7[/tex]
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]
-----------------------------------------------------------------------------------------
Parent function: [tex]f(x)=|x|[/tex]
[tex]f(0)=|0|=0 \implies \textsf{The vertex of the parent function is at (0, 0)}[/tex]
From inspection of the graph, the vertex of the transformed function is at (6, -7). Therefore, there has been a translation of:
6 units right7 units down[tex]\textsf{6 units right}\implies f(x-6) =|x-6|[/tex]
[tex]\textsf{and 7 units down}\implies f(x-6)-7=|x-6|-7[/tex]
From inspection of the graph, we can see that it has been stretched parallel to the y-axis:
[tex]\implies a\:f(x-6)-7=a|x-6|-7[/tex]
The line goes through point (0, -3)
Substituting this point into the above equation to find [tex]a[/tex]:
[tex]\implies a|0-6|-7=-3[/tex]
[tex]\implies 6a=4[/tex]
[tex]\implies a=\dfrac{2}{3}[/tex]
Therefore,
[tex]\implies g(x)=\dfrac{2}{3}|x-6|-7[/tex]
8.2 × 10-3, 5.2 × 10-6, and 4.1 × 10-6. Which number is the greatest, and by how many times is it greater than the smallest number?
Answer:
8.2 * 10^-3 is the greatest and 5.2 * 10^-6 is the smallest.
Step-by-step explanation:
Make up a question that you need to use 6 fractions to solve! It needs to involve subtraction. It can involve addition too.
Answer:
6/4-3/2(12/8+27/4)9/8x30/12=
The mean weight of college students is 154 lbs and the standard deviation is 3 lbs.
Assuming that the weight is normally distributed, determine the following percentages.
145 148
151
154 157 160 163
DO NOT write % in the box. It is already written outside the box for you"
The percentage of college students who weigh...
30
1)...less than 157 is
%
2) greater than 148 is
3)...between 145 and 160 is
%
%
Answer:(approx) 6.
Step-by-step explanation:Here μ=51 and σ=15
Z=
σ
X−μ
=
15
X−151
When X=120, Z=
15
120−151
=−2.067
When X=155, Z=
15
155−151
=0.2667
When X=185, Z=
15
185−151
=
15
35
=2.2667
(i) P(120<X<155)=P(−2.07<Z<0.27)
=∫
−2.067
0.2667
ϕ(z)dz=∫
0
0.2667
ϕ(z)dz+∫
0
2.0667
ϕ(z)dz
=0.4803+0.1026=0.5829.
Here N=500
∴ The number of students whose weight is between 120 and 155 pounds is
0.5872×500=291
(ii) P(X<185)=P(Z>2.27)=∫
2.2667
∞
ϕ(z)dz
=∫
0
∞
ϕ(z)dz−∫
0
2.2667
ϕ(z)dz=0.5−0.4881=0.0119
∴ the number of students with weight about 185 pounds.
=0.0119×500= (approx) 6.
Please help me fill out the blanks.
Answer:
Acute angle : 30* Obtuse angle : 120*
Step-by-step explanation:
Hope this helps :)
Answer:
acute angle- less than 90 degrees
obtuse angle- 120 degrees
Step-by-step explanation:
Show what you know: work out the problems below and submit a photo of your work to receive full credit.
The Florida A&M Rattlers are decorating campus for homecoming weekend. Students use 3 rolls of orange streamers for every 2 rolls of green streamers for every dorm they decorate.
Draw a model that represents the ratio of different colored streamers.
Draw a model that shows the number of orange and green streamers needed to decorate 3 dorm rooms.
The model for representing the ratio of the number of orange and green rolls are [tex]\dfrac{3}{2}[/tex].
A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms will be 3O=2G
What is ratio?The ratio is defined as the representation of the one number with respect to the other number. or one number is how many times to the other number.
A model that represents the ratio of different colored streamers.
[tex]\dfrac{O}{G}=\dfrac{3}{2}[/tex]
A model that shows the number of orange and green streamers needed to decorate 3 dorm rooms.
D=3O and D=2G
3O=2G
Hence the models are [tex]\dfrac{O}{G}=\dfrac{3}{2}[/tex] and 3O=2G.
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I need to solve for X
Answer:
x = 10.5
Step-by-step explanation:
Intersecting chord theorem : If two chords intersect within a circle then the product of the measures of the segemnts made up of the chords are equal to each other.
For more reference to this, kindly view the attatched image.
Applying this theorem we would create an equation which would be 2 × x = 7 × 3
We then solve for x
2 × x = 7 × 3
==> simplify both sides
2x = 21
==> divide both sides by 2
x = 10.5
Which of the following are solutions to the inequality below? Select all that apply.
8 ≤ j j = 12 j = 5 j = 6 j =11
Answer:
j = 11
j = 12
Step-by-step explanation:
The inequality:
8 ≤ j
We will test all the options given.
-> In short, all options greater or equal to 8 will be solutions.
j = 12
8 ≤ j
8 ≤ 12 ✓
-
j = 5
8 ≤ j
8 ≤ 5 ✗
-
j = 6
8 ≤ j
8 ≤ 6 ✗
-
j =11
8 ≤ j
8 ≤ 11 ✓
Find the volume of the solid.
Solid is a substance that can be measured. The required volume of a solid is 90 cubic cm
Volume of solidsThe formula for calculating the volume of a solid ie expressed as:
V = lwh
l is the length
w is the width
h is the height
For the given figure;
Volume = (11 * 2 * 3) + (2 * 3 * 4)
Volume = 66 + 24
Volume = 90 square cm
The required volume of a solid is 90 cubic cm
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Two of the angles in a triangle measure 57º and 25°. What must be the measure of the
third angle?
The measure of the third angle is
Plssss i need the answer
The measure of the third angle in the triangle is 104 degrees
How to determine the measure of the third angles?Let the three angles in the triangle be x, y and z.
Such that:
x = 51
y = 25
The sum of angles in a triangle is 180 degrees.
So, we have:
x + y + z = 180
Substitute known values
51 + 25 + z = 180
Evaluate the sum
76 + z = 180
Subtract 76 from both sides
z = 104
Hence, the measure of the third angle is 104 degrees
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22x22 is a op question but what is 42x42
Answer:
The to 42 x 42 is 1764
Step-by-step explanation:
22 x 22 = 484
The area of the rubber coating for a flat roof was 96 ft². The rectangular frame the carpenter built for the
flat roof has dimensions such that the length is 4 ft longer than the width. What are the dimensions?
Answer:
Length = 12 ft.
Width = 8 ft.
Step-by-step explanation:
Given :
Area = 96 ft²Length = Width + 4 ft.Let :
Length = (x + 4) ft.Width = x ft.Solving :
The formula for calculating area is : Area = Length x Width96 = (x + 4)(x)x² + 4x - 96 = 0x² + 12x - 8x - 96 = 0x(x + 12) - 8(x + 12) = 0(x - 8)(x + 12) = 0x - 8 = 0 ⇒ x = 8The dimensions are :
Length = 12 ft.
Width = 8 ft.
please answer this question
If ɑ and β are roots of 2x² - 5x + 7, then
2x² - 5x + 7 = 2 (x - ɑ) (x - β)
Expanding the right side and matching up coefficients, it follows that
2ɑβ = 7 ⇒ ɑβ = 7/2
-2 (ɑ + β) = -5 ⇒ ɑ + β = 5/2
Now consider a polynomial whose roots are 3ɑ + 4β and 4ɑ + 3β, which can be written with factorization
(x - (3ɑ + 4β)) (x - (4ɑ + 3β))
and expanded to get
x² - (7ɑ + 7β) x + (3ɑ + 4β) (4ɑ + 3β)
Expand/factor the coefficients to rewrite them in terms of the known relations above.
x² - 7 (ɑ + β) x + (12ɑ² + 25ɑβ + 12β²)
x² - 7 (ɑ + β) x + 12 (ɑ² + β²) + 25ɑβ
Recall the square of a binomial,
(x + y)² = x² + 2xy + y²
so we rewrite the latter quadratic as
x² - 7 (ɑ + β) x + 12 ((ɑ + β)² - 2ɑβ) + 25ɑβ
x² - 7 (ɑ + β) x + 12 (ɑ + β)² + ɑβ
Then substituting the expressions whose values we know, we get
x² - 7 (5/2) x + 12 (5/2)² + 7/2
= x² - 35/2 x + 157/2
which we can multiply by 2 to get integer coefficients like in the given quadratic,
= 2x² - 35x + 157
