Answer:
a. 4
b. 10
Step-by-step explanation:
A. If the math department buys 60 textbooks, which are $89 each, we need to multiply 60 by $89 to get the amount that the textbooks will cost. This gives us $5340. Since the math department has $7200 to spend, we subtract 5340 from 7200. This gives us $1860 that the math department has left to spend on laptops. Since the laptops cost $395 each, and we have $1860 to spend, we divide 1860 by 395 to figure out how many laptops they can buy. This is 4.7. Since you can't buy 0.7 of a laptop, they can only buy 4 laptops. The final answer is 4.
B. The math department has $7200 to spend and buys 35 textbooks, which are $89 each. Multiply 35 by 89. This is $3115. Subtract this from $7200 to see how much the department has left to spend. The math department now has only $4085 to spend on laptops, which are $395 each. Divide 4085 by 395. This gives us 10.3. We can't buy 0.3 of a laptop, so they can only buy 10 laptops. The answer is 10.
Answer:
A:$7200-$5340
=$1860
They can buy 4 laptops which will cost $1580 and leave you with $280
B: 35 textbooks will cost $3115, which will leave us with $4085, so we can get 10 laptops
Step-by-step explanation:
plz help asap im timed just this and ill give u 5 stars brainliest and a thank u no cap
no its not a
Answer:
D
Step-by-step explanation:
2 x 4 = 8
8 x 2 = 16
4 x 9 = 36
36 x 2 = 72
9 x 2 = 18
18 x 2 = 36
16 + 72 + 36 = 124
124 = D
Express the series using sigma notation. 6 + 9 + 12 + 15.
15
Σ 40
n=6
explanation; add all the numbers to get 40
6 is the first number and 15 is the last number
Answer: D on edg
Step-by-step explanation:
Christian created a model
of his truck using a scale of
1 inch : 36 inches. If the length
of his actual truck is 250.4
inches, how long is his model,
rounded to the nearest inch?
Answer:
7 inches
Step-by-step explanation:
250.4/36= 6.955555 rounded to nearest inch is 7
Bryan and his son, and Elton and his son all went fishing. Bryan caught as many fish as his son and Elton caught three times as many fish as his son. All together, they caught 25 fish. How many fish did Bryan catch?
Answer:
The answer is explained below
Step-by-step explanation:
This is a word problem, therefore to solve it the statement have to be writing in form of an equation and then solved.
Let the number of fishes caught by Bryan's son be x fishes. Since Bryan caught as many fish as his son, Bryan caught x fishes
Let the number of fishes caught by Elton's son be y fishes. Since Elton caught three times as many fish as his son, Bryan caught 3y fishes
All together, they caught 25 fish
Therefore it can be represented by the equation:
x + x + y + 3y = 25
2x + 4y = 25
2x = 25 - 4y
x = (25 - 4y)/2
The number of fish caught by Bryan is half of the difference between the total fish caught and four times the number of fish caught by Elton son
Which statement describes a characteristic of deposition?
Several factors affect how sediment settles.
Sediment is removed from a new surface location.
Moving water affects where sediment travels.
Rocks are broken into smaller particles.
Plz help
The correct statements are:
A) Several factors affect how sediment settles.
C) Moving water affects where sediment travels.
E) Sediments are carried by a transport medium.
QUESTION:I think the question is incomplete. The whole question has 1 more option and is states that check all statements that apply. The whole question was:
Which statements describe characteristics of deposition? Check all that apply.
A) Several factors affect how sediment settles.
B) Sediment is added to a new surface location.
C) Moving water affects where sediment travels.
D) Rocks are broken into smaller particles.
E) Sediments are carried by a transport medium.
If this was not your question, then you can still relate to this, as the answer would be same.
EXPLANATION:Sediments are a mixture of different elements that are usually carried by water, air or even ice. This mixture may contain organic and inorganic particles. Several factors effect the flow and settlement of sediments, but as discussed above, they always need an transport medium to travel, and moving water serves as one.
Moving water affects where sediment travels.
Deposition is the process of accumulation of loose mineral material and organic residues on the land surface and at the bottom of water bodies.
It occurs at the foot of the slopes, in valleys and in other negative landforms of various sizes: from sinkholes to large troughs and depressions of tectonic origin, where the accumulating deposits form thick strata that gradually turn into sedimentary rocks.
At the bottom of oceans, seas, lakes and other bodies of water, deposition is the most important exogenous process.
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Fairfax Pizza is evaluating a project that would require an initial investment in equipment of 400,000 dollars and that is expected to last for 7 years. MACRS depreciation would be used where the depreciation rates in years 1, 2, 3, and 4 are 45 percent, 33 percent, 16 percent, and 6 percent, respectively. For each year of the project, Fairfax Pizza expects relevant, incremental annual revenue associated with the project to be 628,000 dollars and relevant, incremental annual costs associated with the project to be 552,000 dollars. The tax rate is 50 percent. What is (X plus Y) if X is the relevant operating cash flow (OCF) associated with the project expected in year 1 of the project and Y is the relevant OCF associated with the project expected in year 4 of the project?
Answer:
$178,000
Step-by-step explanation:
The calculation of X and Y is shown below:-
Before that we need to do the following calculations
[tex]Depreciation\ in \ 1\ year = 45\%\times Initial\ investment[/tex]
[tex]= 0.45\times\$400,000[/tex]
= $180,000
[tex]Depreciation\ in \ 4\ year = 6\%\times Initial\ investment[/tex]
[tex]= 0.06\times\$400,000[/tex]
= $24,000
Now, Operating cash flow of X in Year 1
[tex]X = (Revenue - Cost)\times (1 - Tax \ rate) + Depreciation\times tax \ rate[/tex]
[tex]X = (\$628,000 - \$552,000)\times (1 - 0.50) + \$180,000\times 0.50[/tex]
= $38,000 + $90,000
= $128,000
and Operating cash flow of Y in Year 4
[tex]Y = (Revenue - Cost)\times (1 - Tax \ rate) + Depreciation\times tax \ rate[/tex]
[tex]Y = (\$628,000 - \$552,000)\times (1 - 0.50) + \$24,000\times 0.50[/tex]
= $38,000 + $12,000
= $50,000
[tex]X + Y = Operating\ cash\ flow\ for\ the\ year\ 1 + Operating\ cash\ flow\ for\ the\ year\ 2[/tex]
= $128,000 + $50,000
= $178,000
hence, the X + Y is $178,000
Given: cosθ= -4/5 , sin x = -12/13 , θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan (θ +x) and sin (θ +x))
Answer:
tan (θ+x)= -33/56
sin (θ+x)=33/65
Step-by-step explanation:
cosθ= -4/5 , sin x = -12/13
cosθ= -4/5; θ is in the third quadrant=> sinθ=-√(1-cos² θ)
sinθ=- √(1-16/25)=- √(9/25)=-3/5
sinx= -12/13; x is in the fourth quadrant=> cosx=+√(1-sin²x)
cosx=√(1-144/169)= √(25/169)=5/13
tgθ= sinθ/cosθ=(-3/5)/(-4/5)=3/4
tgx= sinx/cosx=(-12/13)/(5/13)= -12/5
tan (θ+x)=(tgθ+tgx)/(1-tgθ*tgx)
tan (θ+x)=(3/4-12/5)/(1+3/4*12/5)=(-33/20)/56/20)= -33/56
sin (θ+x)=sinθcosx+coxθsinx=-3/5 *5/13 +-4/5 * (-12/13)=-15/65+48/65=33/65
Help me, please!!
If you had a nickel (.05 or five cents) that earned 100 percent interest each day or doubled in value each day. How much would you have after 10 days?
Answer:
Step-by-step explanation:
If the initial amount of nickel is doubling in value each day, it means that the amount of nickel is increasing in geometric progression. The formula for determining the nth term of a geometric sequence is expressed as
Tn = ar^(n - 1)
Where
n represents the common ratio
a represents the first term of the sequence (initial amount)
n represents number of terms in the sequence (days)
r represents common ratio between consecutive terms(days)
From the information given,
r = 2
n = 10
a = 0.05
Therefore, for 10days, T10
T10 = 0.05 × 2^(10 - 1)
T10 = 0.05 × 2^9
T10 = 25.6
Answer:
Having a nickel doubled for 10 days gives 512 nickels, or 2560 cents.
Step-by-step explanation:
Having a nickel doubled in value each day for 10 days, we first write the amount of nickels we have in the first few days, inspect what pattern these numbers take, write a general formula for the sequence formed, and use the formula to find the 10th number easily.
For the first five days we have:
Day1: 1
Day2: 1 + 1 = 2
Day 3: 2 + 2 = 4
Day 4: 4 + 4 = 8
Day 5: = 8 + 8 = 16
...
This is a geometric progression, where the first term is 1, and the common ratio is 2.
The nth term is given as
Tn = ar^(n - 1)
Tn = 1 × 2^(n - 1)
= 2^(n - 1)
That is
Day n = 2^(n - 1)
Day 10 = 2^(10 - 1) = 2^9 = 512 nickels.
But because 1 nickels = 5 cents
512 nickels = 5 × 512 = 2560 cents.
Which is the point-slope form of an equation for the line that passes through (0, –5) with slope 2?
Question 7 options:
a)
y = 2(x + 5)
b)
y = 2x – 5
c)
y – 5 = x – 2
d)
y + 5 = 2x
Answer:
y+5 = 2x
Step-by-step explanation:
The point slope form of an equation is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y - -5 = 2(x-0)
y+5 = 2x
I Need the answer and how to do the question, anyone can help?
Answer:
P(A and B) = 0.1344 = 13.44%
Step-by-step explanation:
If the chances are disjoint and you want the chance of both happening, you can multiply their individual chances.
It's easiest to express them as a fraction, i.e., 64% = 0.64 and 21% = 0.21
P(A and B) = 0.64 * 0.21 = 0.1344 which is 13.44%
HELP! Point A is located at (3, -1). It is moved 5 units to the left and 4 units up. Its new coordinates are:
Answer: (-2,3)
Explanation:
Subtract 5 from the x coordinate to move the point five units to the left. We go from (3,-1) to (-2,-1) after doing this.
Next up, add 4 to the y coordinate to shift the point up four units. We go from (-2,-1) to (-2,3)
===========================================================
Explanation:
Subtract 5 from the x coordinate to move the point five units to the left. We go from (3,-1) to (-2,-1) after doing this.
Next up, add 4 to the y coordinate to shift the point up four units. We go from (-2,-1) to (-2,3)
See diagram below. Point A is the initial point, B is the second step, and C is the final destination.
-----------
Another way to write out the steps is to use the transformation rule below
[tex](x,y) \to (x-5, y+4)\\\\(3,-1) \to (3-5, -1+4)\\\\(3,-1) \to (-2, 3)\\\\[/tex]
Half of a number plus three
times the number.
Write it in expression or equation solve the equation
Answer:
Step-by-step explanation:
NEED HELP AGAIN . ASAP PLS AND THX
Answer:
I am pretty sure its (a) and (c)
Step-by-step explanation:
Eight less than a number is six more than twice the same number.
I need the number.
PLEASE HELP Three subtracted from x is less than 20
Answer:
x < 23 (x is less than 23)
Step-by-step explanation:
x - 3 < 20
x < 20 + 3
x < 23 (x is less than 23)
PLZ HELPP
Which expressions will help you find the surface area of this right triangular prism? Select all that apply.
11 × 3
1/2 × 3 × 5
4 × 11
5 × 11
Answer:
Select:
11 x 3
4 x 11
5 x 11
Step-by-step explanation:
Notice that the surface area of the prism consists of three rectangles (whose area formula is the product of "length times the width" of each lateral surface), plus the area of two equal right-angle triangles of base 4 and height 3)
Therefore, the formulas we will need to use are:
1) for one of the rectangular faces = 11 x 3
2) for another rectangular face = 5 x 11
3) for the third rectangular face = 4 x 11
4) for each of the triangular bases = [tex]\frac{1}{2}\, base\,*\,height=\frac{1}{2}\,*4\,*\,3[/tex]
Therefore only three formula expressions need to be selected from the given list.
Find the measure of arc DF (with an explanation of how to solve please!)
Answer:
mDF = 90°
(Assuming arc mCE is 5x + 10)
Step-by-step explanation:
When we have two chords crossing in a circle, there is a property where the angle in the cross point is equal half the sum of the corresponding arcs.
So in this case, we have:
70° = (mCE + mDF)/2
Assuming mCE is 5x + 10, we have:
70 = (5x + 10 + 11x + 2)/2
70 = (16x + 12)/2
70 = 8x + 6
8x = 64
x = 8
So the arc mDF is:
mDF = 11x + 2 = 11 * 8 + 2 = 90°
The measure of arc DF should be 90 degrees.
Calculation of the measure of arc DF:Here we assume arc mCE should be 5x + 10
Since mDF = 90°
Also we know that at the time when two chords should be crossing in a circle so the angle in the cross point should be equivalent to the half the sum of the arcs
So base don this.
[tex]70 = (mCE + mDF)\div 2\\\\70 = (5x + 10 + 11x + 2)\div 2\\\\70 = (16x + 12)\div 2[/tex]
70 = 8x + 6
8x = 64
x = 8
Now the arc mDF is:
mDF = 11x + 2
= 11 (8) + 2
= 90°
Hence, The measure of arc DF should be 90 degrees.
Learn more about an arc here: https://brainly.com/question/3401487
The quadrilateral with the following vertices is a
(-6, -2), (1, -2), (4,-5), (-4,-5)
parallelogram
rectangle
trapezoid
square
Answer:
Parallelogram
Step-by-step explanation: You have to plot the points in a coordinate plane. If you do that and connect the dots you will get parallelogram.
write the sum using sigma notation 3^2+4^2+5^2+...+10^2
[tex]\sum\limits_{i=3}^{10}\big i^2[/tex]
or:
[tex]\sum\limits_{i=1}^{8}\left(2+i\right)^2[/tex]
or:
x₁=3, x₂=4, x₃=5, .... x₈=10
[tex]\sum\limits_{i=1}^{8}\big x_i^2[/tex]
The sigma notation of 3^2+4^2+5^2+...+10^2 is: [tex]\sum\limits^{10}_{n = 3} n^2[/tex]
How to express the sum as a sigma notation?The sum is given as;
3^2+4^2+5^2+...+10^2
The above means that the sum of the squares of integers from 3 to 10
Using the above statement, the sigma notation is:
[tex]\sum\limits^{10}_{n = 3} n^2[/tex]
Where n represents the current integer
Read more about sigma notation at:
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At which point do the graphs of the following equations intersect each other?
2x - y + 4 = 0
x + y = -5
A. (2, -1)
B. (-3,-2)
C. (4, -5)
D. (1,1)
Answer:
(-3,-2)
Step-by-step explanation:
Rewrite first equation in slope-intercept form ( y = mx + b)
2x -y + 4 = 0
-y = -2x - 4
y = 2x + 4
Now rewrite second equation in slope intercept form
y = -x -5
Graph both equations on a calculator and you see that they intersect at (-3,-2)
Alvin has 2\3 cup of salad dressing. He uses 1/9 cup of salad dressing for each serving. How many servings of salad dressing can alvin make 100 points pls help
Answer:
Alvin can make six servings of salad.
Step-by-step explanation:
2/3 is equal to 6/9.
Hi there!
Convert all denominators into the same denominator:
[tex]\frac{2}{3}=\frac{6}{9}[/tex]
[tex]\frac{1}{9}=\frac{1}{9}[/tex]
Divide each terms:
[tex]\frac{6}{9}*\frac{1}{9}=6[/tex]
Final Result: 6
the type of food you eat can lead to body odour.
true or false
Find the area of the parallelogram.
______________________________
Hey!!
Base=15cm
height=5 cm
Area of parallelogram=b*h
=15*5
=75 cm^2
Hope this helps..
__________________________
The value of x for which the expressions 3x – 4 and 2x + 1 become
equal is
-3
0
5
1
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
To determine for which value of x a pair of expressions will be equal, we will need to set them equal to each other and then solve for x.
[tex]3x-4=2x+1[/tex]
First, we can add 4 to each side
[tex]3x=2x+5[/tex]
Now we can subtract 2x from each side
[tex]x=5[/tex]
Now, just to check our answer, we can plug in our answer back into the original equation to see whether we get the same result for each side
[tex]3(5)-4=2(5)+1\\\\15-4=10+1\\\\11=11[/tex]
Answer:
5
Step-by-step explanation:
1) make them equal to each other
2) put all the constants on one side and all the ones with x on the other
3) solve
Please answer this one please ???
whats the circumference in terms of pi?
Answer & Step-by-step explanation:
First, we must know the formula for finding the circumference of a circle.
Circumference = dπ
(d) represents your diameter. In order to find the diameter, you have to multiply the radius by 2 because the radius is half the size of the diameter.
The radius we are given is 15. So well do 15 multiplied by 2.
15 * 2 = 30
Now, since we have ti put the answer in terms of pi, then you are just going to leave 30 as it is and add the pi symbol.
C = 30π
Is (1, 4) a solution to the equation y = 7x?
Answer:
No
Step-by-step explanation:
y=7x
4=7(1)
4=7
This is not a true statement.
What is the surface area of a cube in which each face of the cube has an area of 7 cm 2 ? surface area = cm 2 PLZZZZZZZZZZZZZZZZ HELP ASAP
Answer:
[tex]42cm^2[/tex]
Step-by-step explanation:
Well there are 6 faces on a cube and if each face is 7, the total should be 42.
The surface area of the cube is A = 42 cm²
What is the surface area of cube?The formula for surface area of a cube is equal to six times of square of length of the sides of cube. It is represented by 6a2, where a is the side length of cube.It is basically the total surface area.
Surface area S = 6a² ,
where a is the side of the cube
Given data ,
Let the surface area of cube be A
Now , the value of A is
Let the area of one face S = 7 cm²
So , Surface area A = 6a²
On simplifying , we get
A = 6 x 7 cm²
A = 42 cm²
Hence , the surface area is 42 cm²
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Find x in the following right triangle
a squared + b squared = c squared
576+100=c squared
676=c squared
c squared = 26
hope it helps
Pleeaassee heeellllllppppp
Answer:
Nn
Step-by-step explanation:
