The correct option is A. Paying for a drum set in six months and receiving the drum set today.
What is purchasing?Purchasing is the organized acquisition of goods and services on behalf of the buying entity. Purchasing activities are needed to ensure that needed items are obtained in a timely manner and at a reasonable cost.
here, we have,
Given that,
From the options provided, we must choose the best one.
Consider the provided information.
When you make a purchase that must be paid for over a period of time but gets delivered today, this is referred to as a delayed purchase.
For example:
When you could buy a hot tub today and pay for it over 39 weeks.
Now consider the provided option.
The correct option is A)
Therefore, The correct option is A. Paying for a drum set in six months and receiving the drum set today.
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Write an equation in slope intercept form for the line that has a slope of 12 and passes through the point (3,20)
Answer:
y= 12x-16
Step-by-step explanation:
Given that you have a slope of 12 and a point of (3, 20), you are most obligated to using the Slope-Intercept form, or y=mx+b.
What this allows you to find is the y-intercept if your line has one. You take your point, (3,20), and you insert the values at the appropriate places. You should now have 20=12(3)+b. You will then solve for b by multiplying 12 and 3 to get 36 and subtract that from both sides of the equal sign. You should have 20-36=b. 20-36 is -16, which is your y-intercept.
Now you know all your needed values, you would write the Slope-Intercept form without the values for y and x, to represent your equation.
Since 12 is your slope, it will be 'm' and -16 will be 'b'.
You will end with y = 12x - 16.
Given:
Line passing through,
[tex](x_1,y_1) = (3, 20)[/tex]Slope,
[tex]m = 12[/tex]The equation will be:
→ [tex]y - y_1 = m(x-x_1)[/tex]
By substituting the values,
→ [tex]y-20=12(x-3)[/tex]
→ [tex]y-20=12x-36[/tex]
[tex]y = 12x-16[/tex]
Thus the above answer is right.
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Answer:
Radius is 5/2 or 2.5 inches
Step-by-step explanation:
C = 2πr
5π/2π = 2πr/2π
5/2 = r
Answer: Radius is 5/2 or 2.5 inches
A survey was conducted on 37 people so find out the colours that they like. It was found that 20 people like red, 22 people like blue and 17 people like green. It was also found that 7 people like blue and red, 12 people like blue and green, and 9 people like red and green. Assuming that x persons like three colours, find the value of x
A) 2
B) 4
C) 6
D) 8
Angie has saved $2.50 of her allowance every week for the past 12 weeks. If she continues saving the same amount each week, how many more weeks will it take her to save a total of $50
Answer:
20
Step-by-step explanation:
$2.50 x 12 equals 30
2.50 x 20 equals 50
x10= 2.50 x 20 =$50
It takes Dan 32 minutes to complete 2 pages of math homework. At this rate, how
many pages does he complete in 200 minutes?
Answer:
12.5 pages
Step-by-step explanation:
32/2= 16 min per page
200/16= 12.5 pages
or
200/x = 32/2
200/32= 6.25
6.25*2= 12.5
Answer:
Step-by-step explanation:
12.5
because you divide and then multiply it by 2
In △ABC , line AB is extended up to point E and line BC is extended up to D . The measure of some of the angles is given as; ∠BAC=70° and ∠EBC=120° .
Answer:
[tex]\angle ACD = 130 ^\circ[/tex].
Step-by-step explanation:
[tex]\angle ABC[/tex] and [tex]\angle EBC[/tex] are supplementary angles. Their sum should be [tex]180^\circ[/tex]. [tex]\angle EBC = 120^\circ[/tex] [tex]\implies \angle ABC = 180^\circ - \angle EBC = 180^\circ - 120^\circ = 60^\circ[/tex].
The sum of the three angles in triangle [tex]\triangle ABC[/tex]: [tex](\angle ABC + \angle BAC + \angle ACB)[/tex] should be equal to [tex]180^\circ[/tex].
[tex]\angle ABC = 60^\circ[/tex] and [tex]\angle BAC = 70^\circ[/tex] [tex]\implies \angle ACB = 180^\circ - \angle ABC - \angle ACB = 180^\circ - 70^\circ - 60^\circ = 50^\circ[/tex].
[tex]\angle ACB[/tex] and [tex]\angle ACD[/tex] form another pair of supplementary angles. Their sum should also be [tex]180^\circ[/tex]. [tex]\angle ACB = 50^\circ[/tex] [tex]\implies \angle ACD = 180^\circ - \angle ACB = 180^\circ - 50^\circ = 130^\circ[/tex].
Answer:
sum should also be . .
Step-by-step explanation:
Find the square root of 60 accurate to one decimal place (and two decimal places)
The specific answer is
7.74596669241
What makes the ratio equivalent to 11:44
Answer:
1:4
Step-by-step explanation:
1:4=11:44
Ian is going to use a computer at an internet cafe. The cafe charges an initial fee to
use the computer and then an additional price per minute of usage. It is known that
the total charge to use a computer for 5 minutes would be $6 and that the additional
rate per minute of use is $0.40. Write an equation for the function C(t),
representing the total cost of using a computer for t minutes at the internet cafe.
Answer:
C(t) = 6 + .4t
Step-by-step explanation:
Since there is a constant rate of 6 for the first 5 minutes, that would be a value itself. After that, it would always differ by .4 every minute, making this the function.
A cylinder has a base diameter of 8 inches and a height of 7 inches. What is its volume in cubic inches, to the nearest tenths place?
Answer:
351.9 cubic in
Step-by-step explanation:
The volume of a cylinder is hr²π.
r is half the diameter, so 8/2 is 4.
Plug in your h and r and get:
7 * 4² * π
7 * 16 * π
112π
Multiply the π and you'll get about 351.9 cubic in
The volume of the cylinder is 352 cu.inches.
What is a Cylinder?A cylinder is a three-dimensional figure, it is made up of parallel circular discs of the same radius.
The cylinder consists of two circular bases, connected by a curved surface at a fixed distance.
A cylinder has a base diameter of 8 inches and a height of 7 inches.
The volume is the space occupied by a three-dimensional object.
The volume of the cylinder is given by the formula
V = πr²h
Here, r is the radius of the base,
h is the height of the cylinder.
The volume is determined in cubic units.
The value of r = diameter / 2
r = 8/2 = 4 inches
h = 7 inches.
Substituting these values in the formula to determine the volume,
Volume = (22/7) * 4² * 7
Volume = (22/7) * 16 * 7
Volume = 22 * 16
Volume = 352 cu.inches
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Find x and y on a 30 60 90 triangle number 9
Answer:
x=12, y=[tex]12 \sqrt{3} [/tex]
Step-by-step explanation:
Please see attached picture for full solution.
sinθ= opp/hyp
cosθ= adj/hyp
What is 8.40 in word form
Answer:
Step-by-step explanation:
8.40 ×10°
Answer:
eight and four tenths
Step-by-step explanation:
Sarah and Kaylee go to the movie theater and purchase refreshments for their friends.
Sarah spends a total of $47.00 on 12 drinks and 1 bag of popcorn.
Kaylee spends a total of $81.75 on 3 drinks and 9 bags of popcorn.
Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn.
Using these equations, determine and state the price of a drink, to the nearest cent.
Each drink costs $3.25 and each popcorn costs $8.
Step-by-step explanation:
Step 1:
Assume each drink costs x dollars and each popcorn costs y dollars.
From the given data, we can write the following equations;
[tex]12x + y = 47[/tex], take this as equation 1,
[tex]3x+9y=81.75[/tex], take this as equation 2.
Step 2:
We multiply equation 2 with 4 so we can cancel out the variable x in both equations. By doing this we get
[tex]3x+9y = 81.75[/tex], take this as equation 3. When we subtract 3 from 1, the x variable is canceled out and y can be calculated.
[tex]-35y = -280, y = \frac{280}{35} = 8[/tex]
Step 3:
Substituting this value of y in any of the previous equations we will get x's value.
Here this value of y is substituted in equation 1.
[tex]12x+8 = 47, 12x= 39[/tex],
[tex]x=\frac{39}{12} = 3.25[/tex]
So we have x = $3.25 and y = $8. So each drink costs $3.25 and each popcorn costs $8.
Which quadrilateral is a trapezoid?
Answer:
Look for the parallelograms , or squares , or rectangles . Those quadrilaterals are usually trapezoids .
Step-by-step explanation:
Answer:
You cna have trapezoid and isosceles trapezoid both have either inward end lengths and parallel lines so some look like a flat roof with identical slant. one going one way and the other slant going the other.
Step-by-step explanation:
Sammy opens a bag of
skittles and counts all the
green skittles. There are
13 green skittles in a bag
with 65 skittles. What is the
ratio of green to total
skittles?
Final answer:
To find the ratio of green to total skittles, divide the number of green skittles by the total number of skittles and simplify the fraction. The ratio of green to total skittles is 1:5.
Explanation:
To find the ratio of green to total skittles, we need to divide the number of green skittles by the total number of skittles and simplify the fraction.
Ratio = Number of green skittles / Total number of skittles
Ratio = 13 / 65
Since 13 and 65 are both divisible by 13, we can simplify the fraction to:
Ratio = 1 / 5
Therefore, the ratio of green to total skittles is 1:5.
will your balance increase on your credit card from month to month if you have a balance, but no new charges?why?
Answer:
yes (if no payments are made)
Step-by-step explanation:
If you have no new charges and you make no payments, you will incur interest costs every month.
Hence yes, you balance will increase by amount of interest owed.
PLEASE ANSWER THIS QUICKLY I NEED THIS DONE BY 3:45!!!!!
A kitchen scale shows the weight of a piece of fruit is 2 pounds. The actual weight of the fruit is 1.6 pounds. What is the percent error for the kitchen scale?
The percent error in the kitchen scale's measurement is found using the formula ((Measured Value - Actual Value) / Actual Value) × 100%, resulting in a 25% error when comparing the scale's reading of 2 pounds to the actual weight of 1.6 pounds.
Explanation:The question asks to find the percent error for a kitchen scale when measuring the weight of a piece of fruit. The percent error is a way of comparing the accuracy of a measurement to the actual value, and it's calculated using the formula: Percent Error = ((|Measured Value - Actual Value|) / Actual Value) × 100%. In this case, the measured value is 2 pounds and the actual value is 1.6 pounds.
First, subtract the actual value from the measured value: 2 - 1.6 = 0.4 pounds. Then, divide this difference by the actual value: 0.4 / 1.6 = 0.25. Finally, multiply by 100% to find the percent error: 0.25 × 100% = 25%.
Therefore, the percent error for the kitchen scale is 25%. This calculation helps in understanding the accuracy and reliability of measurements taken by the scale.
Kris is staining 30 wooden rectangular fence pieces. The fence pieces are different sizes, and Kris wants
to determine the approximate number of square feet of paint she will need. She decides to take a sample
of 4 fence pieces and calculate the mean of the areas instead of calculating the area of each fence piece.
Which is a true statement about this problem?
A. The sample size is 30,
B. The population is the 4 fence pieces
C. The mean area of the 4 fence pieces is a parameter
D. The mean area of the 4 fence pieces multiplied by 30 would be similar to the total area.
Answer:
D
Step-by-step explanation:
Factor: 25 m 6 −16 25m6−16 (5m3 + 8)(5m3 – 8) (5m3 – 8)2 (5m3 – 4)2 (5m3 + 4)(5m3 – 4)
Answer:
(5m^3+4)(5m^3-4)
Step-by-step explanation:
(*) A^2 - B^2 =(A+B) (A-B)
25m^6-16=
(5m^3)^2 - 4^2=(*)
(5m^3+4)(5m^3-4)
The reference angle for 305
Answer:
55°
Step-by-step explanation:
The angle 305° is in the fourth quadrant
To find the related acute angle ( the reference angle ) subtract from 360°
reference angle = 360° - 305° = 55°
Please help me with this problem, The answer is 192 but how do you solve it??
Answer:
192
Step-by-step explanation:
You can form a rectangle from sides 15 and 3, another rectangle with dimensions 10 and 9, another rectangle with dimensions 6 and 5, and a triangle with sides 9 and 6 (all formed by extending lines inside the figure, don't want to go into detail). Add all the areas and the answer would be 192:
15*3 =45
10*9=90
6*5=30
0.5*9*6=27;
45 + 90 +30 + 27 = 192 units squared
21, 28, and 36 units is a triangle
Answer:
Yes, it could be a triangle.
Step-by-step explanation:
If the Pythagorean Theorem is satisfied, then these three side lengths represent a right triangle:
21^2 + 28^2 = 36^2 => 1225 = 1296 FALSE; we don't have a right triangle here.
However, the sum 21 + 28 is greater than 36, so we could indeed construct a triangle from these 3 side lengths. It just wouldn't be a right triangle.
The smalltown Zoo has 2 African elephants. An elephant eats 230 pounds of food per day. How many pounds of food are needed to feed the elephants for an entire week?
Answer:
3,220
Step-by-step explanation:
3220 is how much food you will need for both elephants
Hey! Some easy points people. Is this a polygon and what shapes would be a polygon and why?
Solve the equation:
12/x = 3/2
Hence the value of x is 8
Answer:
8
Step-by-step explanation:
12/x = 3/2
(x)(12/x)=3/2x
12=3/2x
(12)(2/3)=x
8=x
Helppppppppppppppppppppp
Answer:
see below
Step-by-step explanation:
Use the distributive property:
(y^2 +3y +7)(8y^2 +y +1)
= y^2(8y^2 +y +1) +3y(8y^2 +y +1) +7(8y^2 +y +1)
= 8y^4 +y^3 +y^2 + 24y^3 +3y^2 +3y + 56y^2 +7y +7
= 8y^4 +y^3(1 +24) +y^2(1 +3 +56) +y(3 +7) +7
= 8y^4 +25y^3 +60y^2 +10y +7 . . . . . matches the last choice
=
Write an equation in slope-intercept form for the line with y-intercept 5 and slope -1/4
Equation is y = -1/4x + 5
Step-by-step explanation:
Step 1: Given slope, m = -1/4 and y-intercept, b = 5. Write the equation in slope intercept form which is y = mx + b⇒ y = -1/4x + 5
ANSWER ASAP PLEASE :)
Answer:
20%
Step-by-step explanation:
If 10 goes to 12, that means there was an increase of 2. 2/10 is, in decimal form, 0.2. To change a decimal into a percentage, you multiply it by 100, giving you 20.
The path of a ball kicked from the ground can be modeled by the equation y=−1/3(x−3)(x−21), where x and y are measured in feet. The x-axis represents the ground. How far does the ball land from where it is kicked?
The ball lands
feet from where it is kicked.
Answer:
The ball lands 18 feet from where it is kicked.
Step-by-step explanation:
Given : The path of a ball kicked from the ground can be modeled by the equation [tex]y=-\frac{1}{3}(x-3)(x-21)[/tex], where x and y are measured in feet. The x-axis represents the ground.
To find : How far does the ball land from where it is kicked?
Solution :
According to question,
The value of y is zero as it is kicked from ground.
So, [tex]0=-\frac{1}{3}(x-3)(x-21)[/tex]
Applying zero product property,
[tex]a\cdot b\cdot c=0\Rightarrow a=0\text{ or }b=0\text{ or }c=0[/tex]
i.e. [tex]-\frac{1}{3}\cdot (x-3)\cdot (x-21)=0[/tex]
[tex]x-3=0[/tex]
[tex]\Rightarrow x=3[/tex]
[tex]\text{ or }x-21=0[/tex]
[tex]\Rightarrow x=21[/tex]
The distance the ball land from where it is kicked is d=21-3=18.
Therefore, the ball lands 18 feet from where it is kicked.
The ball lands 18 feet from where it is kicked.
To find out how far the ball lands from where it is kicked, we need to determine the horizontal distance traveled by the ball when it hits the ground again. The x-axis represents the ground, so we are looking for the x-coordinate of the point where the ball lands, which is when y = 0.
Given the equation of the path of the ball:
[tex]\[ y = -\frac{1}{3}(x - 3)(x - 21) \][/tex]
We set y to 0 to find the x-coordinates where the ball touches the ground:
[tex]\[ 0 = -\frac{1}{3}(x - 3)(x - 21) \][/tex]
This equation can be factored to:
[tex]\[ 0 = (x - 3)(x - 21) \][/tex]
Setting each factor equal to zero gives us two solutions for x:
[tex]\[ x - 3 = 0 \quad \text{or} \quad x - 21 = 0 \][/tex]
[tex]\[ x = 3 \quad \text{or} \quad x = 21 \][/tex]
These solutions represent the x-coordinates where the ball is kicked (x = 3) and where it lands (x = 21). To find the distance between these two points, we subtract the smaller x-coordinate from the larger one:
[tex]\[ \text{Distance} = 21 - 3 = 18 \text{ feet} \][/tex]
However, since the ball is kicked from the ground and lands back on the ground, the distance it travels horizontally is the absolute value of the difference between the two x-coordinates:
[tex]\[ \text{Horizontal distance} = |21 - 3| = |18| = 18 \text{ feet} \][/tex]
Michelle opened a savings account for her emergency fund. She deposited $2000 into her account, which earns 2.10% interest, compounded monthly. How much will she have in the account after one year?
Michelle will have $28200 in account after one year.
Step-by-step explanation:
Given ,
P ( Principle amount )= $2000
r ( rate of interest)= 2.10% per month
n (number of times rate of interest is applied) = 12
t ( time period ) = 1 years
Compound Interest = P ( 1 + r/n ) * n*t
⇒ [tex]2000 (1+2.10/12) * 12*1[/tex]
⇒ [tex]2000*12*1.175[/tex]
⇒ 28200
Michelle will have $28200 in account after one year.