Answer:
First number is 1379.63% of the second number.
Step-by-step explanation:
Consider the provided information.
1192 people per square mile in New Jersey.
The national average is 86.4.
We need to 1192 people per square mile in New Jersey is how much % of a national average of 86.4 Americans per square mile in 2012.
Let 1192 is x percent of 86.4.
[tex]1192=\frac{x}{100}\times 86.4[/tex]
[tex]x=\frac{1192\times 100}{86.4}[/tex]
[tex]x=\frac{119200}{86.4}[/tex]
[tex]x\approx 1379.63\%[/tex]
Hence, first number is 1379.63% of the second number.
I don’t know how to fine the square root
Answer:
Look the square root up on the internet.
Step-by-step explanation:
Concession stand made a profit of $135 on Saturday and lost $12 on Sunday how much profit did the concession stand make
Answer:
123
Step-by-step explanation:
135 - 12 = 123
The concession stand made $123
What is profit and loss?Profit and loss are the terms used to identify whether a deal is profitable or not. We use these terms very often in our daily lives. If the selling price is greater than the cost price, then the difference between the selling price and cost price is called profit. If the selling price is less than the cost price, then the difference between the cost price and the selling price is called loss.
When, in a transaction, the selling price is greater than the cost price, it means we earn a profit.
When, in a transaction, the cost price is greater than the selling price, it means we incur a loss.
Given:
profit on saturday = $135
loss on sunday = $12
So,
the total profit concession stand made= $135 + (-$12)
= $135 - $12
= $123
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Which graph shows the strongest positive correlation?
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answer:
C
Step-by-step explanation:
Original price of a hotel: $240.00 per night.
You are staying four nights because then you get a 25% discount.
State and local taxes and 'resort fee' add up to a 29% surcharge.
How much will you pay for four nights?
Answer:
$ 929
Step-by-step explanation:
Given: Original price of stay in hotel= $240 per night
Discount= 25%
Total taxes and fee = 29%
Now, finding the price of stay for four night.
Using unitary method to solve:
As we know original price of hotel stay per night is $240
∴ Price of four night stay at original price is [tex]240\times 4 = \$ 960[/tex]
Next, 25% discount given on the price of four night stay.
∴ [tex]960 - \frac{25}{100} \times 960 = 960 - 240[/tex]
= [tex]\$ 720[/tex]
∴Price of four night hotel stay after discount is [tex]\$ 720[/tex]
Now, 29% taxes and fees been added to the price.
Price of hotel stay after discount + Taxes paid.
[tex]720 + ( \frac{29}{100} \times 720) = 720 + 209[/tex]
= [tex]\$ 929[/tex]
∴ [tex]\$ 929[/tex] is the price to be paid for four night stay at hotel after discount and taxes.
Mika placed $4200 in a savings account which compounds interest continuously at a rate of 2.3%. How much will she have in the account after 3 years? Round to the nearest dollar.
Answer:
$4,500
Step-by-step explanation:
4,200e^3(.023)
It takes 3 1/3 kilometers of thread to make 3 1/2 boxes of shirts. How many kilometers of thread will it take to make 8 boxes?
[tex]7\frac{13}{21}[/tex] km thread will be needed for 8 boxes of shirts
Step-by-step explanation:
The proportion will be used to find the measurement of thread
Given
It takes 3 1/3 kilometers of thread to make 3 1/2 boxes of shirts.
Now,
As there are more boxes, more thread will be needed. So it is a direct proportion
So,
[tex]Km:box::Km:box\\3\frac{1}{3}: 3\frac{1}{2}::x:8\\\frac{10}{3}:\frac{7}{2}::x:8\\\frac{\frac{10}{3}}{\frac{7}{2}} = \frac{x}{8}\\\frac{10}{3} * \frac{2}{7} = \frac{x}{8}\\\frac{20}{21} = \frac{x}{8}\\x = \frac{20}{21} * 8\\x = \frac{160}{21}\\x = 7\frac{13}{21}[/tex]
Hence,
[tex]7\frac{13}{21}[/tex] km thread will be needed for 8 boxes of shirts
Keywords: Unit rate, conversion
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What the sum of -1 2/3÷(2 1/5)
Answer:
-20/21
Step-by-step explanation:
Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left.
Write an equation to determine the number of friends (x) at Jack's party.
Find the number of friends at Jack's party.
friends
Answer:
Equation: 3x + 2 = 50
# of friends: 16
Step-by-step explanation:
3 chocolates each or 3x because what "each" means is not known yet-
3x
Note: Always use x for an unknown value
2 remaining chocolates-
3x + 2
50 total chocolates-
3x + 2 = 50
Remove two to keep the x alone-
3x = 48
Remove the 3 or the "Coefficient" by dividing-
48/3 = 16
x = 16
Equation: 3x + 2 = 50
# of friends: 16
A student claims that a linear-quadratic system of equations has three solutions. Explain the error the student made.
Step-by-step explanation:
A line and a quadratic (parabola) can have either 0, 1, or 2 solutions.
0 solutions: the line and quadratic do not intersect.1 solution: the line and quadratic are tangent (intersect at one point), or the line is the axis of symmetry (intersects only at the vertex).2 solutions: the line and quadratic intersect at two points.It is impossible for a linear-quadratic system to have more than 2 solutions.
What can you conclude about the relationship between the time spent watching tv and the grades received on the quiz?
Answer:
Step-by-step explanation:
It's perfectly logical that as the number of hours spent watching TV increases, the grades received on the quizzes drop. There's a negative correlation between the two variables.
Please explain how you found the measure of angle one angle two and angle three and angle four
Answer:
IT IS ETHER A OR B BROBABLY
Step-by-step explanation:
Identify whether the number is prime or composite. If the number is composite, then identify the factors. 41
Answer:
Prime number
Step-by-step explanation:
41 is a prime number.
How to test:
Divide 41 by every whole number from 1 until about it's square root.
√41 is about 6.4, round up to 7.
If any quotient is not a decimal number, 41 is not prime.
41/2 = 20.5
41/3 = 13.7
41/4 = 10.25
41/5 = 8.2
41/6 = 6.8
41/7 = 5.9
These are all decimal numbers.
Step-by-step explanation:
The answer would be A
Every 2 days Andy takes out the trash.Every 3 day he sweeps the kitchen.what is the least number of days that will pass before Andy will have to do both chores together on the same days?
Answer:
The least number of days that will pass before Andy will have to do both chores together on the same days are 5 days.
Step-by-step explanation:
Let us start from the initial day.
Every 2 days Andy takes out the trash.
So, the days he takes out trash are second day, fourth day, sixth day , eighth day , tenth day and so on.. (1)
Every 3 days Andy sweeps the kitchen.
So, the days he sweeps the kitchen are third day, sixth day , ninth day , twelfth day and so on.. (2)
Now, on comparing both equations (1) and (2) we see the first common day to both the chores is SIXTH DAY.
Hence, the least number of days that will pass before Andy will have to do both chores together on the same days are 5 days.
Eric is swimming along the surface of the sea. He uses
positive numbers to represent elevations above the
surface of the sea and negative numbers to represents
depths under the surface of the sea.
Mark is sitting on the deck of a ship above Eric, and Ariel
is diving beneath Eric.
Who could be at an elevation of -3 m?
Choose 1 answer:
©
Ariel
©
Eric
©
Mark
Answer:
Ariel
Step-by-step explanation:
Ariel is diving which is below the surface of the water
Answer:
ariel
Step-by-step explanation:
Darren has a piece of wood that is 7 in by 8 in. Explain how he can divide this large rectangle into two small rectangles
Answer:
Cut it in half so that the two pieces are each 7 in by 4 in.
Please help quick will give brainliest
Answer:
a(1) = 8, a(n + 1) = a(n) + 5
Checking this:
a(2) = a(1) + 5 = 8 + 5 = 13
a(3) = a(2) + 5 = 13 + 5 = 18
a(4) = a(3) + 5 = 18 + 5 = 23
a(5) = a(4) + 5 = 23 + 5 = 28
Write the three digit number for 500+30+8
What is an equation that represents the line that passes through the point (-2, 2) and is parallel to
Y=1/2X+ 8?
Answer:
[tex]y = \frac{1}{3}x + 3[/tex]
Step-by-step explanation:
The slope of two parallel straight lines are the same.
Now, the slope of the line [tex]y = \frac{1}{2} x + 8[/tex] is [tex]\frac{1}{2}[/tex] as the straight line equation is in slope-intercept form.
Now, the equation of the straight line in slope-intercept form which is parallel to the above line is [tex]y = \frac{1}{2} x + c[/tex] ............. (1) , where c is any constant.
Now, point (-2,2) is on the line (1) {Given}
So, this point will satisfy the equation.
Hence, [tex]2 = \frac{1}{2} (- 2) + c[/tex]
⇒ c = 3.
Therefore, the equation of the required straight line is [tex]y = \frac{1}{3}x + 3[/tex] (Answer)
The figure shown is a rectangle. The green shape in the figure is a square. The blue and white shapes are rectangles, and the area of the blue rectangle is 24 square inches.
A. Write an expression for the area of the entire figure that includes an exponent. Then find the area.
B. Find the dimensions of the entire figure.
Answer:
A. (2 × 6) + (3 × 8) + 6²
72 sq. inches.
B. 9 in. by 8 in.
Step-by-step explanation:
The white shape has dimensions of 2 in. by 6 in. and the green shape is a square.
So, the dimension of the green shape is 6 in. by 6 in.
Therefore, the length of the blue shape is (6 + 2) = 8 in.
Now, given that the area of the blue shape is 24 sq. in.
So, the width of the blue shape is [tex]\frac{24}{8} = 3[/tex] in.
Now, if we consider the total figure, then area of the entire figure = area of the white shape + area of the green shape + area of the blue shape.
= (2 × 6) + (3 × 8) + 6² (Answer)
= 12 + 24 + 36
= 72 sq, inches. (Answer)
Now, the length of the entire figure is (6 + 3) = 9 in. and width of the entire figure is (2 + 6) = 8 in.
Therefore, the dimensions of the entire figure will be 9 in. by 8 in. (Answer)
Lashonda worked for 13 hours each day for 5 days. Then the next day she worked 6 hours. How many hours did Lashonda work in all?
Answer: 71 hours
Step-by-step explanation:
Alvin’s age is three times Elga’s age. The sum of their ages is 20. What is Elga’s age?
Answer:
Elga's age is 5.
Step-by-step explanation:
3x=y
x+y=20
-------------
x+3x=20
4x=20
x=20/4
x=5
3(5)=15
y=15
x=5, y=15
Find the value for θ.
sinθ=cos(θ−18.5)
Question 6 options:
35.75°
71.5°
54.25°
161.5°
Answer:
[tex]\theta=54.25\°[/tex]
Step-by-step explanation:
we know that
When the sine of angle X is equal to the cosine of angle Y, then angle X and angle Y are complementary angles
so
[tex]X+Y=90\°[/tex]----> equation A
In this problem
[tex]X=\theta[/tex]
[tex]Y=(\theta-18.5)[/tex]
substitute in the equation A
[tex]\theta\°+(\theta-18.5)\°=90\°[/tex]
[tex]2\theta=90+18.5[/tex]
[tex]2\theta=108.5[/tex]
[tex]\theta=54.25\°[/tex]
The Bridal Shop bought a dress from a supplier for $105 wholesale and applied a 65% markup to the price. If a 7.5% sales tax were added after a 20% discount was used, what would be the total cost to purchase the dress? A $146.20 B $149.00 C $158.48 D $160.17
Answer:
The correct answer is 149.00.
Step-by-step explanation:
Part = Percent • Whole
Adding a 65% markup to the original price of 105 is simply multiplying the price by the decimal form of the markup, then adding that to the original price. Next, you would find 20% of your sum by multiplying the sum by 0.20. Then you would find 7.5% of that and add this to the price.
Solve:
105 • 0.65 = 68.25 Find 65% of 105
105 + 68.25 = 173.25 Add the markup to the price
173.25 • 0.20 = 34.65 Find the discount of the new price
173.25 - 34.65 = 138.60 Subtract discount from price
138.60 • 0.075 = 10.395 Find sales tax of new price (Or round to 10.40)
138.60 + 10.395 = 148.995 Add sales tax to new price (Or 149)
Because money only goes to the hundredths place, we can either start rounding to that place in the second to last step - rounding 10.395 to 10.40 - or we can round our answer - 148.995 rounds to 149. Either way, we will still get an answer of $149.00.
Hope this helps.
♥A.W.E.S.W.A.N.♥
Answer:
B $149.00
Step-by-step explanation:
105 * 1.65 = 173.25 (100%+ 65%) Price with the markup
173.25 *0.80 138.60 (Price after 20% discount .The price will be the 80%)
138.60 * 1.075 = 148.995 (price with 7.5 sales tax.)
The grocery store sells 3 packages of biscuits for $1.35. At this rate, how much will 8 packages of biscuits cost?
A
$3.60
B
$10.80
C
$12.35
D
$17.78
Answer:
the answer is A
Step-by-step explanation:
1.35 divided by 3 = 0.45
0.45 multiplyed by 8 = $3.60
harry, regan and kelan share £450 in the ratio 2 : 5 : 3 . how much money does kelan get?
Answer:
Kelan gets 135 Euros.
Step-by-step explanation:
First of all you add up the ratio getting 10, with 10 you divide it from 450 getting 45. Then you multiply 3 (Kelan's Part) by 45 getting your answer. Tell me if this helped, i'd appreciate knowing.
This question is based on simple mathematics. Therefore, the answer is £135.
Given:
Harry, regan and kelan share £450 in the ratio 2 : 5 : 3.
We have to determined the money would kelan get.
According to questions,
First of all, adding up the ratios.
We get,
2+5+3 = 10
Regan and kelan share £450. So divided £450 by 10, and solve it further.
We get,
[tex]\dfrac{450}{10} = 45[/tex]
Now, multiplying 45 by 3 (Kelan's part).
We get,
[tex]45\times3= 135[/tex]
Therefore, the money that kelan get is £135.
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Need help with this math problem
z = 37°
Step-by-step explanation:
The exterior angle theorem says that the sum of two internal angles is equal to the exterior angle
In this case the sum of z and z+4 will be equal to z+41
Writing mathematically
[tex]z + z+ 4 = z + 41\\2z+4 = z + 41\\2z -z = 41 -4\\z = 37[/tex]
Hence
z = 37°
Keywords: Angles, Triangles
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ASAP Can someone help with this problems just I only need which formula do I used I just need for 4,5 and 6 just tell me the formulas for Law of Cosines
Explanation:
The formula for law of cosines is:
[tex]a^{2} = b^{2} + c^{2} - 2bc(cosA)[/tex]
This is written at the top of your paper.
The angle is substituted where the capital A is. The side opposite to the angle is the angle name's lowercase. The two other sides are b and c.
Substitute all the information you know, then isolate the variable that you do not know.
When your formula is rearranged to look like this:
[tex]\frac{a^{2} - b^{2} - c^{2}}{- 2bc} = (cosA)[/tex]
Solve the left side and punch into your calculator:
cos⁻¹(left side) to find the angle A.
y=-4x+2 y=6x-8 in substitution ordered pairs
Answer:
(1, -2).
Step-by-step explanation:
y=-4x+2
y=6x-8
Substitute y = 6x - 8 in the first equation
6x - 8 = -4x + 2
10x = 10
x = 1
So y = 6x - 8
= 6(1) - 8
= -2.
The pair should be (1, -2).
Given information:The equation is y=-4x+2 and y=6x-8
Calculation of pairs:here we Substitute y = 6x - 8 in the first equation
So,
6x - 8 = -4x + 2
10x = 10
x = 1
Now
y = 6x - 8
= 6(1) - 8
= -2.
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What is the slope of the line of the best fit for this scatter plot?
What is the equation of the line of the best fit?
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 7) and (x₂, y₂ ) = (4, 6) ← 2 points on the line
m = [tex]\frac{6-7}{4-2}[/tex] = - [tex]\frac{1}{2}[/tex]
Note the line crosses the y- axis at (0, 8) ⇒ c = 8
y = - [tex]\frac{1}{2}[/tex] x + 8 ← equation of line
Answer : The slope of the line and equation of the line is, [tex]\frac{-1}{2}[/tex] and [tex]y=\frac{-1}{2}x+8[/tex] respectively.
Step-by-step explanation :
The general form for the formation of a linear equation is:
[tex](y-y_1)=m\times (x-x_1)[/tex] .............(1)
where,
x and y are the coordinates of x-axis and y-axis respectively.
m is slope of line.
First we have to calculate the slope of line.
Formula used :
[tex]m=\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]
Here,
[tex](x_1,y_1)=(2,7)[/tex] and [tex](x_2,y_2)=(4,6)[/tex]
[tex]m=\frac{(6-7)}{4-2)}[/tex]
[tex]m=\frac{-1}{2}[/tex]
Now put the value of slope in equation 1, we get the linear equation.
[tex](y-y_1)=m\times (x-x_1)[/tex]
[tex](y-7)=\frac{-1}{2}\times (x-2)[/tex]
[tex]y-7=\frac{-1}{2}x+1[/tex]
[tex]y=\frac{-1}{2}x+1+7[/tex]
[tex]y=\frac{-1}{2}x+8[/tex]
Thus, the slope of the line and equation of the line is, [tex]\frac{-1}{2}[/tex] and [tex]y=\frac{-1}{2}x+8[/tex] respectively.
Find f'(x) for f(x)=cos^2(5x^3).
d/dx cos^2(5x^3)
= d/dx [cos(5x^3)]^2
= 2[cos(5x^3)]
= - 2[cos(5x^3)] * sin(5x^3)
= - 2[cos(5x^3)] * sin(5x^3) * 15x^2
= - 30[cos(5x^3)] * sin(5x^3) * x^2
Explanation:
d/dx x^n = nx^(n - 1)
d/dx cos x = - sin x
Chain rule:
d/dx f(g(...w(x))) = f’(g(...w(x))) * g’(...w(x)) * ... * w’(x)
Step-by-step explanation:
f(x) = cos²(5x³)
f(x) = (cos(5x³))²
Use chain rule to find the derivative:
f'(x) = 2 cos(5x³) × -sin(5x³) × 15x²
f'(x) = -30x² sin(5x³) cos(5x³)
If desired, use double angle formula to simplify:
f'(x) = -15x² sin(10x³)