The total area available for cars to park is 858 square meters, the number of compact parking space is 68 and the number of non-compact parking space is 52
The total area available
The dimension of the parking lot is:
78 meters by 19 meters
The dimension of the aisle is:
8 meters by 78 meters
The total area available is the difference between the area of the parking lot and the area of the aisle.
So, we have:
Available Area = 78 * 19 - 8 * 78
Available Area = 858
Hence, the total area available for cars to park is 858 square meters
The number of parking space
The total area available for cars to park is 858 square meters, and the area of each parking spot is 12.5 square meters
So, the number of parking lot is:
n = 858/12.5
n = 68.64
Remove the decimal
n = 68
Hence, the number of parking space is 68
The number of parking space for non-compact parking space
The total area available for cars to park is 858 square meters, and the dimension of each parking spot is 5.5 meter by 3 meters
So, the number of parking lot is:
n = 858/(5.5 * 3)
n = 52
Hence, the number of parking space is 52
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Answer:
The above answer is correct!
To put it a bit more simply:
First box: C. 858
Second box: C. 68
Third box: B. 52
Step-by-step explanation:
Hope this helps!
Javier is shopping around for a new cell phone provider. He is considering two different plans. Plan 1 has a monthly fee of $15 plus $0.15 per minute. Plan 2 costs $35 per month with unlimited minutes of talk. Find the number of minutes Javier would have to talk to have the same cost under both plans
Answer:
He would have to talk 200 minutes.
Step-by-step explanation:
Since 30 divided by .15= 200. And there is a .15 cent cost per minute meaning Javier would have to talk for 200 minutes for the prices to be equal.
Have a great day!
what kind of lines have no solution ot a system of equations
Answer:
When 2 lines are parallel they have no points in common so there would be no solution in the system. Even if a third line intersects the two parallel lines, there still would not be a solution to all 3 equations in the system.
Step-by-step explanation: I found this and it can help you!
−7 ≤ −4; add 11 to both sides
Answer:
4 < 7
Step-by-step explanation:
-7 + 11 =
11 - 7 =
4
-4 + 11 =
11 - 4 =
7
4 < 7
Answer:
4<=7
Step-by-step explanation:
-7<=-4
or, -7+11<=-4+11
Therefore 4<=7
Determine algebraically the zeros of f(x)=3x3+ 21x2+36x
Answer:
x = 0
x = -4
x = -3
Step-by-step explanation:
Hello!
First, lets factor out 3x (GCF) from the whole expression:
[tex]f(x) = 3x^3 + 21x^2 + 36x[/tex][tex]f(x) = 3x(x^2 + 7x + 12)[/tex]Factor the polynomial by grouping:
[tex]f(x) = 3x(x^2 + 7x + 12)[/tex][tex]f(x) = 3x(x^2 + 3x + 4x + 12)[/tex][tex]f(x) = 3x(x(x+3) + 4(x + 3))[/tex][tex]f(x) = 3x(x + 4)(x + 3)[/tex]Set the expression and each factor to 0, and solve for x:
[tex]0 = 3x(x + 4)(x + 3)[/tex]3x = 0
x = 0x + 4 = 0
x = -4x + 3 = 0
x = -3There are 3 roots for this equation: 0, -4, and -3.
this is the net of a triangular prism. to calculate the lateral surface area you should add the areas of which sides?
A. B,C, and D
B. A,C, and E
C. A,B,C,D, and E
D. A and E
Option A. is correct. To calculate the lateral surface area triangular prism, the sides B, C and D are need to be added to calculate the area.
What is triangular prism?A triangular prism is "a polyhedron made up of two triangular bases and three and three rectangular sides. It has 5 faces, 6 edges and 9 vertices".
According to the question,
Formula for lateral surface area = (a +b +c)h where a, b, c are perimeter of base and 'h' is height of the triangular prism.
From the given triangular prism has B, C and D are perimeter of base.
Hence, to calculate the lateral surface area triangular prism, the sides B, C and D are need to be added to calculate the area.
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An object is 20 cm from a concave mirror of radius of curvature 60 cm
The position and nature of the image are magnified,
What is the focal length?Focal length, usually represented in millimeters (mm), is the basic description of a photographic lens.
Radius of curvature of the mirror, R = -60 cm
Focal length of the mirror, f = -30 cm
Object distance, u = -20 cm
Let v is the position of the mirror. It can be calculated as :
[tex]\rm \dfrac{1}{v}+\dfrac{1}{u}=\dfrac{1}{f}\\\\\dfrac{1}{v}=\dfrac{1}{f}-\dfrac{1}{u}\\\\\dfrac{1}{v}=\dfrac{1}{-30}-\dfrac{1}{-20}\\\\\\\dfrac{1}{v}=\dfrac{-20 - (-30)}{(-30)(-20)}\\\\\dfrac{1}{v}=\dfrac{10}{(-30)(-20)}\\\\\dfrac{1}{v}=\dfrac{10}{600}\\\\\dfrac{1}{v}=\dfrac{1}{60}\\\\v=60[/tex]
The image is formed at a distance of 60 cm behind the concave mirror.
[tex]\rm m=\dfrac{-v}{u}\\\\m=\dfrac{-60}{-30}\\\\m=2[/tex]
The image is magnified.
Hence, the position and nature of the image are magnified,
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What is (f–g)(x)?
f(x)=
–
2x2+10x
g(x)=
–
3x2
Answer:
What is (f–g)(x)?
f(x)=
–
2x2+10x
g(x)=11
–
3x2
12
Step-by-step explanation:
heya, first time asking a question, so this may be awkward, but can someone help me with this?
Step-by-step explanation:
1. completing the square
x² + 10x + ... = (x + a)² = x² + 2ax + a²
10 = 2a
a = 5
so,
x² + 10x + 10 = -22
is
(x + 5)² - 15 = -22
(x + 5)² = -7
x + 5 = i×sqrt(7)
the solutions are
x = i×sqrt(7) - 5
x = -i×sqrt(7) - 5
2. is easy via factoring
that means there has to be an easy way to define
x² + 3x - 40 = (x + a)(x + b)
remember,
(x + a)(x + b) = x² + (a+b)x + ab
since the constant term is -40, we know either a or b had to be negative (and the other positive).
a × b = -40
so, what factors deliver 40 ?
1×40
2×20
4×10
5×8
the x-term factor is 3.
so,
a + b = 3.
therefore, it must be the combination 8-5.
so, the factoring is
(x + 8)(x - 5) = 0
the solutions are therefore
x = -8
x = 5
3. quadratic formula
x² + 3x + 1 = 0
a = 1
b = 3
c = 1
x = (-b ± sqrt(b² - 4ac))/(2a)
x = (-3 ± sqrt(3² - 4×1×1))/(2×1) = (-3 ± sqrt(9 - 4))/2 =
= (-3 ± sqrt(5))/2
the solutions are
x = (-3 + sqrt(5))/2
x = (-3 - sqrt(5))/2
therefore
4. 2 non-real solutions (called also complex or irregular)
5. 2 rational solutions
6. 2 irrational solutions
A=e(b-c)-d
B=6, c=3,d=-4, e=-2
Find the value please
Answer:
A=e(b-c)-d
A=-2(6-3)-4
A=-12+6-4
A=-6-4
A=-10
The box plots show data about the heights, in feet, of two different types of trees at a local nursery.
Which statement is best supported by the information in the box plots?
Answer:
ANswer A for Reshawn
Step-by-step explanation:
The box plots show data about the heights, in feet, of two different types of trees at a local nursery.
Which statement is best supported by the information in the box plots?
Which statement is FALSE?
6. Cristiano scored 50 out of 60 points on a recent math test. Did Cristiano score higher than an
80% on this test? Justify your answer.
Answer: Cristiano scored an 83%
Step-by-step explanation:
1.) plug in 50/60 into a calculator to get the percentage
3(8w + 6) write the expression in two other ways
need help asap
Answer:
1) 24w + 18
2) 6(4w + 3)
Step-by-step explanation:
Explanation for 1)
Use the Foil method for factoring by multiplying each number inside the bracket [8w + 6] by the number outside the brackets [3]
3*(8w + 6)
3 * 8w + 3 * 6
= 24w + 18
Explanation for 2)
By using the final product in 1) [24w + 18], we can facour it further by using GCF (Greatest Common Factor)
We have to determine first what is the greatest common factor of 24w, and 18
Its 6
So we use 6, and divide it by what we got in explanation 1 to find our 2nd way of writing the expression
24w/6 + 18/6
= 6(4w + 3)
Don't forget to put whatever you divided those numbers by outside of the bracket
Hope this helps :)
Answer:
Step-by-step explanation:
Given
3(8w + 6)
Question
Write in 2 different ways.
Method One
Use the distributive property to remove the brackets.
3(8w + 6) Given. Remove the brackets. Notice both results
3*8w + 3 * 6 Combine
24w + 18
Method 2
Take out another common factor. 2 is another common factor.
3(8w + 6)
3*2 (4w + 3) Combine
6 ( 4w + 3)
copy and complet the table compare the values of 2^x-2 with the values of 2^x-2
#2^(x-2)
For 2
2^(2-2)=2⁰=1For 3
2^(3-2)=2For 4
2^(4-2)=2²=4For 5
2^{5-2}=2³=8For 6
2^{6-2}=2⁴=16#2^x-2
For 2
2²-2=2For 3
2³-2=6For 4
2⁴-2=14For 5
2⁵-2=30For 6
2⁶-2=62Answer:
[tex]\large \begin{array}{| l | c | c | c | c | c |}\cline{1-6}x & 2 & 3 & 4 & 5 & 6\\\cline{1-6} 2^x-2 &2 &6 &14& 30 & 62 \\\cline{1-6} 2^{x-2} & 1&2 & 4& 8& 16\\\cline{1-6}\end{array}[/tex]
[tex]\large \text{$ 2^x-2 $}:[/tex]
[tex]x=2 \implies 2^2-2=2\\x=3 \implies 2^3-2=6\\x=4 \implies 2^4-2=14\\x=5 \implies 2^5-2=30\\x=6 \implies 2^6-2=62[/tex]
[tex]\large \text{$ 2^{x-2} $}:[/tex]
[tex]x=2 \implies 2^{2 -2}=1\\x=3 \implies 2^{3 -2}=2\\x=4 \implies 2^{4 -2}=4\\x=5 \implies 2^{5 -2}=8\\x=6 \implies 2^{6 -2}=16[/tex]
7.) The online book is $29.00 but the tax and shipping is another 25%. What will it cost me with the tax and shipping?
Answer:
$36.25
Step-by-step explanation:
Shipping and tax are 25% the price of online book, thus it will be 25/100 x 29 = $7.25
Thus, total will be 29 + 7.25 = $36.25
A series if license plates are being produced that all have the same pattern of three letters (a-z) followed by three digits (0-9) without any repeats. If no letters or numbers are repeated, how many different possibilities are there? what is the probability that the license plate is ABC123 or MOM678?
If no letters or numbers are repeated, then the number of possibilities will be 11,232,000. Then the probability that the license plate is ABC123 or MOM678 will be 1/8,788,000.
What are permutation and combination?A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.
A series of license plates are being produced that all have the same pattern of three letters (a-z) followed by three digits (0-9) without any repeats.
If no letters or numbers are repeated, then the number of the possibilities will be
Number of ways = 26 × 25 × 24 × 10 × 9 × 8
Number of ways = 11,232,000
Then the probability that the license plate is ABC123 or MOM678 will be
[tex]P = \dfrac{1}{17,576,000}+\dfrac{1}{17,576,000}\\\\P = \dfrac{1}{8,788,000}[/tex]
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2/5 plus what equals 7/10
Answer:
[tex]\dfrac 3{10}[/tex]
Step-by-step explanation:
[tex]~~~~~~\dfrac 25 + x = \dfrac 7{10}\\\\\\\implies x = \dfrac 7{10} - \dfrac 25\\ \\\\\implies x = \dfrac 7{10} - \dfrac 4{10}\\\\\\\implies x = \dfrac{7-4}{10}\\\\\\\implies x = \dfrac 3{10}[/tex]
Please answer as fast as you can
Answer:
d = 3072.2 ft
Step-by-step explanation:
Circumference of circle:Circumference of circle = 9687 ft
πd = 9687
[tex]\sf \dfrac{22}{7}*d = 9687\\[/tex]
[tex]d = 9687 * \dfrac{7}{22}\\\\d = 3082.2 \ ft[/tex]
Jenny reads a book with 92 pages. Jenny's book has 13 more pages than the book Macy reads. Which equation could you solve to find how many pages, m, Macy's book has?
a m+13=92m plus 13 is equal to 92
b m=92+13m is equal to 92 plus 13
c 92m=1392 m is equal to 13
d 13m=92
Which statements are true? Check all that apply. The corresponding sides of similar triangles have proportional lengths. The corresponding sides of congruent triangles have the same lengths. The corresponding angles of similar triangles have different measures. If corresponding sides of two triangles are not the same length, the triangles are not similar. If corresponding sides of two triangles are not the same length, the triangles are not congruent.
What is its length?
Enter the correct answer.
The perimeter of a rectangle is twice the
sum of its length and its width. The
perimeter is 40 meters and its length is 2
meters more than twice its width.
====================================
[tex]\large \sf \underline{Problem:}[/tex]
The perimeter of a rectangle is twice the
sum of its length and its width. The
perimeter is 40 meters and its length is 2
meters more than twice its width.
What is its length?
====================================
[tex]\large \sf \underline{Answer:}[/tex]
The answer is 12 m.
====================================
[tex]
\large \sf \underline{Explanation:}[/tex]
The perimeter (P) of a rectangle is twice the sum of its length (I) and width (w):
P = 2(l + w) P = 34
=>> 2(1+w) = 34
1+ w = 34/2
⇒ I + w = 17
Length is 2 meters more than twice its width:
I = 2w + 2
Now we have the system of equations:
I + w = 17
I = 2w + 2
Use the substitution method and substitute I from the second equation into the first equation:
2w + 2 + w = 17
2w + w = 17 - 2
3w = 15
w = 15/3
w = 5
Now, substitute w into the equation:
I = 2w + 2
I =2* 5+2
I = 10 + 2
I = 12
====================================
Sample A and sample B are from the same population. If the sample
proportion for sample A is 0.42, the sample proportion for sample has to be
0.42.
• A. True
B. False
Answer:
true because a =b = 0.42
Step-by-step explanation:
I hope it's helpful for you
Answer:
false
Step-by-step explanation:
Which function represents a linear function
Answer:
D. y = -4/5x + 10
Step-by-step explanation:
If you graph it, whether that be on paper or typing the equation out on a website so it can do the graphing for you, it's a straight line with a negative slope unlike the other choices. Therefore, it's a linear function. A quick tip is that, usually, a linear function can be easily shown in the form of y = mx + b (slope-intercept form), and that's the exact form y = -4/5x + 10 is in. y being y (dependent variable, or result/output), -4.5 being m which represents the slope, x being x (independent variable, or input), and +10 being b which represents the y-intercept. If the x is in the denominator like in y = 5/x - 3, it's very likely that it's not a linear function.
Find the surface area of the pyramid. The side lengths of the base are equal.
pls help D:
Hi!! :D
Answer:
I got 177.46
Step-by-step explanation:
I just used a surface area calculator!
So sorry if this is wrong!
Have a great day! <3
4. A private swimming pool needs to have the side walls and the bottom resealed with waterproof coating. The pool is measured 16 m long, 8 m wide and 2 m deep. What is the area that need to be resealed?
[tex]solve[/tex]
Answer:
224 sq m
Step-by-step explanation:
We are basically finding surface area of a rectangular prism, minus the top side
[tex]2(2)(8) + 2(16)(2) + 16(8)[/tex]
Simplify:
[tex]32 + 64 + 128 = 224[/tex]
-8 - something = 3
I need help
Answer:
-8 - -11 = 3
Step-by-step explanation:
[tex]-8-x=3\\\\-8-x-3=3-3\\\\-11-x=0\\\\-11-x+x=0+x\\\\-11=x[/tex]
Therefore, the missing number is -11
2e=6.4
What is the solution for e?
Answer:
3.2
Step-by-step explanation:
2e = 6.4
dividing through by 2 in order to make e the subject of the equation
e = 6.4/2
e =3.2
Genevieve brought $35.75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/6 as much as the sketchbook, and the sketchbook cost 3/4 the cost of the paint set. Genevieve had $2.00 left over after buying these items.
The cost of a brush, a sketchbook, and a paint set will be $ 2.38, $ 14.3, and $ 19.067 respectively.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Genevieve brought $35.75 to the art supply store.
She bought a brush, a sketchbook, and a paint set.
Let x be the cost of the paint set.
The sketchbook cost 3/4 the cost of the paint set. Then the cost of the sketchbook will be
[tex]\rightarrow \rm \dfrac{3x}{4}[/tex]
The brush was 1/6 as much as the sketchbook. Then the cost of the brush will be
[tex]\rightarrow \rm \dfrac{3x}{4} \times \dfrac{1}{6}=\dfrac{x}{8}[/tex]
Then the value of the paint set will be
[tex]\begin{aligned} \dfrac{3x}{4} +\dfrac{x}{8} + x &= 35.75\\\\\dfrac{15}{8}x &= 35.75\\\\15x &= 286\\\\x &= \$ 19.067 \end{aligned}[/tex]
Then the cost of the sketchbook will be
→ 3 × 19.067 / 4 = $ 14.3
Then the cost of the brush will be
→ $ 2.38
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find the area of the figure
Answer:
look at the photo
...................................
can yall help me with this?
Thank you!
Answer:
1260 degrees (1260°)
Step-by-step explanation:
Formula to Find Sum of Interior Angles of a Polygon
180 (n - 2)n is the number of sides of the polygonNonagon (9-sided polygon)
180 (9 - 2)180 × 71260 degrees (1260°)