Answer:
162 caps.
Step-by-step explanation:
Let x be the number of caps.
We have been given that cost of one cap is $6, so cost of x caps will be equal to 6x.
We are also told that the company charges an amount of $25 for shipping, so total cost of buying x caps will be equal to the cost of x caps plus shipping charges ().
Since Laura has a budget of $1,000, so cost of x caps will be less than or equal to 1,000. We can represent this information in an equation as:
Now let us solve for x.
Let us divide both sides of our inequality by 6.
Which expression can be used to calculate the area of a circle?
Pi times diameter
2 times pi times radius
Pi times diameter times diameter
Pi times radius times radius
help plz
If you move a decimal to the left 3 times will the numbers increase in value
Answer:
The number will decrease in value
Step-by-step explanation: For example if we had 638.23 if I move the decimal to the left 3 times it would be .63823, and if we add zeros it would look like this, 0.63823 so the number would decrease in value
This diagram shows a cylinder that has a radius of 3 inches and a height
of 5 inches.
3 in.
5 in.
What is the volume, in cubic inches, of the cylinder?
A. 151
B. 307
C. 451
D. 601
The volume, in cubic inches, of the cylinder will be [tex]\frac{990}{7}[/tex] or [tex]45\pi[/tex] cubic inches.
What is Cylinder?Cylinder is a [tex]3D[/tex] solid shape which holds two parallel bases joined by a curved surface, at a fixed distance. These bases are circular in shape and the center of the two bases are joined by a line segment.
What is volume?Volume is define as capacity of cylinder.
Volume of cylinder [tex]=\pi r^{2} h[/tex]
We have,
Radius [tex]=3[/tex] inches
Height [tex]=5[/tex] inches,
Then,
Volume of cylinder [tex]=\pi r^{2} h[/tex]
[tex]=\frac{22}{7} *(3)^{2} *5[/tex]
[tex]=\frac{990}{7}[/tex] or [tex]45\pi[/tex] cubic inches
Hence, we can say that The volume, in cubic inches, of the cylinder will be [tex]\frac{990}{7}[/tex] or [tex]45\pi[/tex] cubic inches
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How much water can a sponge filter in one minute?
2 quarts
3 quarts
4 quarts
1 quart
Answer:
It would be 4 quarts.
Step-by-step explanation:
The answer is 2 quarts
The triangle has a height of 8 and a base of 14.
What is the area of the triangle?
Answer:
The answer is 56.
Step-by-step explanation:
The formula for a triangle is b×h÷2. So you just input the data. 8×14÷2.
i need help the test is time and i have 5 min left can y'all pls help pls
Answer:
divide the figure into two parts.
area of square = side²
area of square =12²
area of square =144
area pf trapezium =1/2×(a+b)×h
area of trapezium =1/2×(12+6)×12
area of trapezium =108
area of polygon=144+108=252 unit²
A roller skating rink charges a skate rental fee and an hourly rate to skate.
The total cost to skate for 2 hours is $9.50 and for 5 hours is $18.50.
Assume the relationship is linear. Find and interpret the rate of change and
where x represents the number of hours and y represents the total cost.
initial value. Then write the equation of the function in the form y = mx + b
Answer:
The initial value, b = $3.50 is the skate rental fee
The rate of change, 'm' is $3.0 is the hourly rate charged by the roller skating rink
Step-by-step explanation:
From the question we have;
The charges of the roller skating rink = A skate rental fee + An hourly rate
The total cost to skate for 2 hours = $9.50
The total cost to skate for 5 hours = $18.50
The relationship between the total cost of skating and the duration in hours = Linear relationship
Let 'x' represent the number of hours skating and let 'y' represent the total cost, we have;
The form of the equation is y = m·x + b
Where;
m = The rate of change of the linear relationship
b = The initial value (y-intercept)
When x = 2, y = 9.50
Therefore, we can write;
9.50 = 2·m + b...(1)
When x = 5, y = 18.50
Therefore, we can write;
18.50 = 5·m + b...(2)
Subtracting equation (1) from equation (2) gives;
18.50 - 9.50 = 5·m - 2·m + b - b = 3·m
9.0 = 3 × m
∴ m = 9.0/3 = 3.0
The rate of change, m = 3.0
Similarly, we have;
From equation (1), we get;
9.50 = 2·m + b = 2 × 3.0 + b = 6.0 + b
9.50 = 6.0 + b
∴ b = 9.50 - 6.0 = 3.50
The initial value = 3.50
Therefore, the initial value, b = $3.50 is the skate rental fee while rate of change m = $3.0 is the hourly rate the rate.
The expenses E and income I for making and selling T-shirts with a
school logo are given by the equations E = 535 +4.50n and I = 12n,
where n is the number of T-shirts.
Expenses: Slope=
Y-Intercept =
income: Slope=
Y-Intercept
1. El ayuntamiento de un pueblo quiere asfaltar
una plaza circular que tiene en el centro una
fuente, también circular, para celebrar allí con-
ciertos de música a lo largo del año. Si la fuente
tiene un diámetro de 4 m y la plaza, uno de 16
m, ¿cual será el área de la región por asfaltar?
Thomas has finished 50% of an art project that has taken him a total of 9 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?
Answer:
18 hours
Step-by-step explanation:
9/0.50 = 18 hours
Kim is repainting a storage trunk shaped like a rectangular prism as shown.
Kim will paint all the faces of the outside of the storage trunk when it is closed. How many square feet will Kim paint?
Answer:
i got 54ft^2
Step-by-step explanation:
The cost of renting a bicycle, y, for
x hours can be modeled by a linear
function. Renters pay a fixed insurance
fee of $12 plus an additional cost of $10
per hour, for a maximum of 6 hours.
What is the range of the function for this
situation?
F {22, 32, 42, 52, 62, 72}
G {1, 2, 3, 4, 5, 6}
H {12, 24, 36, 48, 60, 72}
J {22, 34, 46, 58, 70, 82}
Answer:
F
Step-by-step explanation:
1(10) + 12= 22
2(10) + 12= 32
etc.....
The volume of a cylinder is 256pi in 3 and the height of the cylinder is 1 in what is the radius of the cylinder
Answer:
I got 9.03
Step-by-step explanation:
the formula is V=pir2h
(pi, radius squared, and height)
The stock of Company A gained 6% today to $94.87. What was the opening price of the stock in the beginning of the day?
Answer:
Step-by-step explanation:
I don’t know
We want to find the opening price of the stock in the beginning of the day. We will find that the solution is $89.50.
Working with percentages.
Let's say that the opening price of the stock was X.
Then, it is increased 6% to get to $94.87
This means that the 106% of X is equal to $94.87, then we can solve:
1.06*X = $94.87
Where we wrote 106% in decimal form, now we can just solve this for X:
X = $94.87/1.06 = $89.50
This means that the price of the stock in the beginning of the day was $89.50
If you want to learn more about percentages, you can read:
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Solve for n. 2n+3/4n = 3/4
Answer: n=3/11
Step-by-step explanation:
1. You want to simplify both sides of the equation.
2n+3/4n=3/4.
(2n+3/4n)=3/4 (combine like terms).
11/4n=3/4.
2. Multiply both sides using 4/11.
(4/11)x(11/4n)=(4/11)x(3/4)
3. You get your answer which is n=3/11.
Hoped I help :)
6. Brandon and Charlotte Snifflesworth are visiting three of Americas top tourist attractions. The Snifflesworths
live close to Disney World in Orlando, Florida. They decided to start their trip at Disney World before traveling to
San Francisco, California to see the Golden Gate Bridge and then to Minneapolis, Minnesota to go shopping at the
Mall of America. The bearing from Disney to the Golden Gate Bridge is North 65° West. The bearing from the
Golden Gate Bridge to the Mall of America is North 80° East. The bearing from Disney to the Mall of America is
North 30° West and the distance traveled is 1,320 miles. Find all missing interior angles and distances created from
their triangular trip to America's top tourist attractions. Also find the bearing from the Mall of America to
Disneyland.
Answer:
The distance from Disney to the Golden Gate Bridge is 2,162.56 miles
The distance from Mall of America to The Golden Gate Bridge is 1,320 miles
The interior angle at The Golden Gate Bridge is 35°
The interior angle at Mall of America is 110°
The interior angle at Disney is 35°
The direction from Mall of America to Disney is South 30° East
Step-by-step explanation:
The bearing from Disney to the Golden Gate Bridge = North 65° West
The bearing from the Golden Gate Bridge to the Mall of America = North 80° East
The bearing from Disney to the Mall of America = North 30° West
The distance from Disney to the Mall of America = 1,320 miles
Let 'A', 'B', and 'C' represent the interior angles at Disney, The Golden Gate bridge and Mall of America respectively
From the drawing of the triangular trip, we find that the interior angle at C = The sum angles complementary to the bearings at B and at C
Therefore, the interior angle at C = (90° - 65°) + (90° - 80°) = 35°
The interior angle at B = The bearing of C from B - The bearing of A from B
∴ The interior angle at B = 65° - 30° = 35°
B = 35°
∠C = 35° and ∠B = 35°, therefore, the triangle is an isosceles triangle
The interior angle at A = 180° - (∠B + ∠A) = 180° - (35° + 35°) =110°
CA = AB = 1.320
By sine rule, a = sin(110) × 1320/sin(35) ≈ 2,162.56 miles
a = CB = 2,162.56 miles
Therefore, we have;
The distance from Disney to the Golden Gate Bridge = 2,162.56 miles
The distance from Mall of America to The Golden Gate Bridge = 1,320 miles
The interior angle at The Golden Gate Bridge = 35°
The interior angle at Mall of America = 110°
The interior angle at Disney = 35°
The magnitude of the bearing of Mall of America to Disney = The magnitude of the alternate angle to the bearing of Disney to Mall of America = 30°
∴ The direction from Mall of America to Disney = South 30° East
do this and thanks for help
One year of classes at the University of Texas at Austin costs $10,700.
Georgio has received a grant that will pay $700 and a scholarship for
$5,500. He wants to get a job to pay 40% of the remainder of the costs
and borrow the rest of the money. How much does he need to earn on
his job, and how much will he need to borrow?
O
Georgio has to earn $1,600 and borrow $2,700.
Georgio has to earn $1,800 and borrow $2,700.
Georgio has to earn $1,800 and borrow $2,300.
Georgio has to earn $1,600 and borrow $2,300.
Answer:
Georgio has to earn $1,800 and borrow $2,700.
please help this is myhrw.com hw
Answer:
No a triangle CAN’T have 2 obtuse angles. I dont know about the drop down menus since I can’t see the choices but there can’t be 2 obtuse angles in a triangle. I can guess two of them anyway
The second drop down one is “greater”
The last option is 180
Im not sure about he first since dropdowns aren’t presented
1 Which is an arithmetic sequence?
F)2, 5, 9, 14, ...
G)100, 50, 12.5, 1.6, ...
H)3, 10, 17, 24,...
j) -2,-1,-1/2,-1/4
Answer:
H) 3, 10, 17, 24, ...Step-by-step explanation:
An arithmetic sequence is when the difference of the terms is same
F)2, 5, 9, 14, ...
14 - 9 = 5, 9 - 5 = 4. 5-2 = 35 ≠ 4 ≠ 3, no
G)100, 50, 12.5, 1.6, ...
1.6 - 12.5 = -10.912.5 - 50 = -37.550 - 100 = -50-10.9 ≠ -37.5 ≠ -50, no
H)3, 10, 17, 24,...
24-17 = 717 - 10 = 710 - 3 = 77 is the common difference, yes
j) -2,-1,-1/2,-1/4
-1/4 - (-1/2) = 1/4-1/2 - (-1) = 1/2-1 - (-2) = 11/4 ≠ 1/2 ≠ 1, no
a - 2/3 = 3/5 how much is a?
Answer:
19/15
Step-by-step explanation: In order to solve for A add 2/3 to both sides of the equation to get A alone and 2/3 + 3/5 is equal to 10/15 + 9/15 which means the answer is 19/15.
BRAINLIESTTTTT PLZZZZ
Answer:
Slope is -5/3
Step-by-step explanation: when you look at the graph, the line is descending meaning it will be a negative, so we can eliminate the answers that are positive leaving us with 2 options. Then we have to do rise/run, you figure that out by counting how many points the line goes up and to the right or left, and intersects with the line
The school Amina goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.
Answer:
child = $14
senior = $8
Step-by-step explanation:
3s + c = 38
3s + 2c = 52
52 - 38 = 14
child = $14
3s + 14 = 38
3s = 24
divide by 3
senior = $8
Write 0.4% in simplest form
Answer:
if simplest form by you mean fraction then the answer is 2/5
hope this is the answer you are looking for
Step-by-step explanation:
Need to get this one right to pass lesson
Answer:
not sure search it up
Step-by-step explanation:
Answer:
33ft²
Step-by-step explanation:
b= base (3)
l= slant height (4)
Surface area = b²+2bl
=3²+2(3)(4)
=9+2(12)
=33
I'm begging you please please help please please ASAP please please help please please ASAP please please help please please ASAP please please help please please ASAP
Answer:
15
Step-by-step explanation:
the height of the person is y = 6 and the distance from the ladder is also 6 = x. To find the angle formed by the ladder we use [tex]arctan(\frac{y}{x})[/tex] which in this case is
[tex]arctan\frac{6}{6} = arctan(1)\\= 45 degrees[/tex]
now we know that the person is 9 feet away from wall and 6 feet away from the ladder so the total x distance is 9+6 = 15 = x
to find y we use tan(45) = [tex]\frac{y}{x}[/tex]
multiply both sides by x = 15 and simplify to get y = 15
4. A Tesla dealership is having a sale on their cars. This week you can save 15% off
the total price. If the retail price of the Tesla is $30,190, what is the discount?
Answer:
25,661.5
Step-by-step explanation:
30160x15%=4528.50
30160-4528.50=25,661.50
The mathematical sentence that describes the inequality 5n - 10 > 26 is: Ten subtracted from 5 times n is greater than 26. I hope this mathematical sentence is what you are looking for,
Write the inequality in words.
5n – 10 > 26
A. Ten less than a number is less than or equal to twenty-six.
B. Ten less than five times a number is greater than twenty-six.
C. Five times n less than ten is twenty-six.
D. Ten plus five times n is less than or equal to twenty-six.
Answer:
Write the inequality in words.
5n – 10 > 26
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
n > 36/5
Interval Notation:
(36/5, ∞)
THANKS
0
Answer:
B. Ten less than five times a number is greater than twenty-six.
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
n > 36 /5
Interval Notation:
( 36 /5 , ∞ )
Find the value of the variables in the simplest form
Answer:
x = 2
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
x² + x² = (2[tex]\sqrt{2}[/tex] )² , that is
2x² = 8 ( divide both sides by 2 )
x² = 4 ( take the square root of both sides )
x = [tex]\sqrt{4}[/tex] = 2
A seventh-grade class raised $380 during a candy sale. They deposited the money in a savings account for 6 months. If the bank pays 5.3% simple interest per year, how much money will be in the account after 6 months?
Answer: You want to calculate the interest on $380 at 5.3% interest per year after .5 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $380.00.
r is the interest rate, 5.3% per year, or in decimal form, 5.3/100=0.053.
t is the time involved, 0.5....year(s) time periods.
So, t is 0.5....year time periods.
To find the simple interest, we multiply 380 × 0.053 × 0.5 to get your answer.
Step-by-step explanation: