7:55 pm - 4:55 pm = 3 hours
225 miles / 3 hours = 75 miles per hour
Average speed = 75 miles per hour
Samantha is trying to pick out an outfit for the first day of school. She can choose from 2 pairs of pants, 2 t-shirts, and 9 pairs of shoes. How many different outfits does Samantha have to choose from?
Using the Fundamental Counting Theorem, it is found that Samantha has 36 different outfits to choose from.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the pants, there are 2 options, hence [tex]n_1 = 2[/tex].For the t-shirts, there are 2 outcomes, hence [tex]n_2 = 2[/tex].For the shoes, there are 9 outcomes, hence [tex]n_3 = 9[/tex].Thus, the total number of outfits is given by:
N = 2 x 2 x 9 = 36.
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Each day, a salesperson earns $25 plus 5% of their total sales for the day. The salesperson's goal is to earn more than $50 on Thursday.
What is the yield on a corporate bond with a $1000 face value purchased at a discount price of $925, if it pays 6% fixed interest for the duration of the bond?
For a $1000 face value purchased at a discount price of $925, if it pays 6% fixed interest for the duration of the bond is the yield on a corporate bond mathematically given as
Yield = 6.5%
What is the yield on a corporate bond?Generally, the equation for the interest paid is mathematically given as
Interest paid = value of bond x Interest rate
Interest paid = 1000 * 6%
Interest paid = 60
Therefore
Yield = Interest paid / Price paid
Yield = (60 / 925)x 100
Yield = 6.5%
In conclusion, the yield on a corporate bond is
Yield = 6.5%
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Find the component form of the resultant vector.
a= (-6, -5)
Unit vector in the opposite direction of a
Answer:
-6
Step-by-step explanation:
A vector is defined as having a magnitude of 15 m and a direction of East. Multiply this vector by the scalar value of –6.
Kelso had two dogs. Each
dog eats one and a half cups
of dog food each day. There
are 75 cups in a bag of food.
How many days does one
bag of food last?
Answer:
Its gonna last 25 days
Step-by-step explanation:
75/3 = 25
3 -> 1.5*2
solve for g:2(g-h)=b+4
Answer:
[tex]g = \frac{b}{2} + 2 + h[/tex]
Step-by-step explanation:
[tex]2(g - h) = b + 4 \\g - h = \frac{b}{2} + \frac{4}{2}\\g = \frac{b}{2} + 2 + h[/tex]
Clarissa made a scale drawing of a rectangle. she used a scale factor of 3 to draw the new rectangle. how does the length of the new rectangle compare to the original? the length of the new rectangle is one-third the length of the original. the length of the new rectangle is startfraction 1 over 12 endfraction the length of the original. the length of the new rectangle is 3 times the length of the original. the length of the new rectangle is 12 times the length of the original.
Answer:
The length of the new rectangle will be 3 times the length of the original.
Step-by-step explanation:
Let the side of the rectangle be x and y.
Therefore after factoring it up by 3 the new sides will be [tex]3x,3y[/tex]
Thus, the length of the new rectangle will be 3 times the length of the original.
Answer:
c
Step-by-step explanation:
Complete the steps, which describe how to find the area of the shaded portion of the circle. a circle is shown. 2 raddi are drawn. a chord connects the points of the radii on the circle to each other. the space between the chord and the outline of the circle is shaded. 1. find the area of the sector by multiplying the area of the circle by the ratio of the _________________________ to 360. 2. subtract the area of the triangle from the area of the sector. length of the radius length of the diameter measure of the central angle circumference of the circle
The term segment refers to an area that is bounded by two radii and a chord.
What is a segment?The term segment refers to an area that is bounded by two radii and a chord.
We have to obtain the area of the segment by;
the area of the sector is obtained as the product of the area of the circle and the ratio of the angle subtended by the sector to 360.Secondly, the area of the triangle formed as part of the segment is subtracted from from the area of the sector.This is how to obtain the area of the segment.
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Answer:
the correct option is C
Step-by-step explanation:
I really need help right now
Answer:
true
Step-by-step explanation:
bc my brain is right ( BTW i got my dad to check :>)
Grayson was given a large box of 42 chocolates for his birthday. If he eats exactly 2 chocolates each day, how many chocolates would Grayson have remaining 15 days after his birthday?
Answer:
12
Step-by-step explanation:
Let's write this in ratio form.
Days : Chocolates
1 : 2
15 : 30
So, he would eat 30 chocolates in 15 days. To find the remaining ones, we will subtract from the total of the chocolates given.
Chocolates = 42 - 30
= 12
Pick a square that doesn’t belong with the others and explain why you made your choice
Answer:
8+7
Step-by-step explanation:
8 + 7 does not belong because it is the only one that does not add up to equal 14
Use the following number line to choose the correct statement.
P + Q > R
P > S - Q
S > R + Q
Answer:
S > R + Q
Step-by-step explanation:
Locations:
P = 0.30
Q = 1.10
R = 2.80
S = 4.40
Statements:
A. P + Q > R
B. P > S - Q
C. S > R + Q
Find the correct statement:
P + Q > R
0.30 + 1.10 > 2.80
1.40 > 2.80
This statement is incorrect
P > S - Q
0.30 > 4.40 - 1.10
0.30 > 3.30
This statement is incorrect
S > R + Q
4.40 > 2.80 + 1.10
4.40 > 3.90
This statement is correct
Therefore, the correct statement is S > R + Q
Hope this helps!
Tyler made a scale drawing of his apartment. The scale is 1 millimeter: 2 meters. The living room is 6 meters long in real life. How long is the living room on the drawing in millimeters?
Answer:
Step-by-step explanation:
6/2 = 3
3:6 =
1:2
What is the volume of the cone in terms of π ?
[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times height \\ [/tex]
[tex]v = \frac{1}{3} \times \pi \times {2}^{2} \times 6 \\ [/tex]
[tex]v = \frac{24}{3} \pi \\ [/tex]
[tex]v = 8\pi \: \: \: {in}^{3} [/tex]
Ms. Lance is planning a birthday party. She decided that she
would spend no more than $I20 to buy a cake and balloons.
If the price of the cake is $45 and each balloon costs $15.
how many balloons can she buy?
Need the inequality and equality answer, and final answer
Answer:
The answer is 3
Step-by-step explanation:
You have to subtract 120-45 and that gets you to 75 Then divide 75 by 15 and that gives you 3. So the answer is 3
Answer:
15n + 45 ≤ 120
n ≤ 5
She can buy up to 5 balloons.
Step-by-step explanation:
Fixed amount: $45
Amount per balloon: $15
Let n = number of balloons
Total expense: maximum of $120, which means less than or wequal to $120
15n + 45 ≤ 120
15n ≤ 75
n ≤ 5
She can buy up to 5 balloons.
Which expression is equivalent to 15 + 3x?
A. 3(5+x)
B. 5(3+x)
C. 3(5+3x)
D. 5(3+3x)
Answer:
3(5+x)
Step-by-step explanation:
3(5 + x)
Answer:
See below ~
Step-by-step explanation:
Taking common factors
Factorize both the terms.
15 = 3 * 53x = 3 * xThe common factor is 3.
Now, group them together and solve.
15 + 3x3(5 + x)Option AQuestion 1 (2 points)
Which box-and-whisker plot represents the data set?
10, 5, 8, 14, 21, 7, 13, 17, 17
Samuel bought 4 rolls of tape to seal boxes. Each roll contains 32.9 meters of tape. He uses 1.2 meters of this tape to seal each box. What is the total number of boxes Samuel can seal with these 4 rolls of tape?
Answer:
109
Step-by-step explanation:
32.9 × 4 = 131.6
131.6 ÷ 1.2 = 109.6666666667
round down because you can seal 1 more box with .7 m of tape.
Answer:
The total number of boxes able to be sealed with this amount of tape is 109.6
Step-by-step explanation:
The area of a gymnasium is 956 yd2. The width of the gymnasium is 4 yd longer than its length. Find the length and width of the gymnasium (round to the nearest yard). Include a labeled diagram in your work for full credit?
Answer:
L = 29
w = 33
Step-by-step explanation:
Area = w × L
= (L + 4) × L
⇔ 956 = L² + 4L
⇔ 956 = (L + 2)² − 4
⇔ 956 + 4 = (L + 2)²
⇔ 960 = (L + 2)²
[tex]\Leftrightarrow L+2=\sqrt{960}[/tex]
[tex]\Leftrightarrow L+2=30.983866769659[/tex]
[tex]\Longrightarrow L+2 \approx 31[/tex]
[tex]\Longrightarrow L \approx 29[/tex]
[tex]\Longrightarrow w=L+4 \approx 29+4\approx33[/tex]
A graph is shown. Which of the following equations are represented by the graph?
Answer: A
Step-by-step explanation: I has a negative slope, which means that its line is shaped like a backslash. This graph is shaped like a forward slash, so it cannot be that one. III is a quadratic equation in factored form. The graph for a quadratic equation is shaped like a U or an upside down U, so it cannot be that one either. Using process of elimination, the only one that it can be is A, II and III.
I also used Desmos graphing calculator to double check and I was right. Here it is:
Which expressions are listed in the simplest form? Check all that apply.
Sydney took a trip to a relatives house for Thanksgiving. She drove 65 miles per hour for 1. 5 miles and 55 miles per hour for 3. 5 hours. What was the total distance in miles that she traveled duribg this time?
The total distance in miles that she traveled duribg this time is 17.21miles
Distance and speedSpeed is defined as the rate of change of distance. Mathematically speed is expressed as:
Speed = Distance/Time
For the second trip
Speed = 55mph
Time = 3.5hours
Distance = 55/3.5
Distance = 15.71 miles
Total distance travelled = 1.5 miles + 15.71miles
Total distance travelled = 17.21miles
Hence the total distance in miles that she traveled duribg this time is 17.21miles
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The cost of renting a moving truck is given by C = 40 + 0.99m , where C is the total cost in dollars and m is the number of miles driven. What does the 40 in the equation represent?
The 40 in the equation C = 40 + 0.99m represents a fixed cost that is independent of the number of miles driven (m).
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
For example, 3x+2y=0.
This fixed cost is a base fee that the rental company charges for the rental of the moving truck, regardless of how many miles the truck is driven.
In this equation, the 40 is a constant term that adds to the cost of the rental, and it represents the cost of the truck rental without taking into account the distance driven.
The 0.99m term represents the additional cost per mile driven, and it increases with the number of miles driven.
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Given: ABCD is a parallelogram.
Prove: ∠A ≅ ∠C and ∠B ≅ ∠D
Parallelogram A B C D is shown.
By the definition of a ▱, AD∥BC and AB∥DC.
Using, AD as a transversal, ∠A and ∠
are same-side interior angles, so they are
. Using side
as a transversal, ∠B and ∠C are same-side interior angles, so they are supplementary. Using AB as a transversal, ∠A and ∠B are same-side interior angles, so they are supplementary.
Therefore, ∠A is congruent to ∠C because they are supplements of the same angle. Similarly, ∠B is congruent to ∠
answers: d, supplementary, bc, d
Answer:
E2020
Step-by-step explanation:
Answer:
d, supplementary, bc, addition
Step-by-step explanation:
What is the value of h?
Classify the questions as statistical or not statistical. How many bags do I own? How many cars does each person in my neighborhood own? How many hours do students in my class study every day? How many students in my class own 2 bags? How many hours did Ryan study last Saturday? How many houseplants does each house on my block have? Statistical Questions Not Statistical Questions
Answer:
In order - Not statistical, statistical, statistical, statistical, statistical, statistical
Step-by-step explanation:
A statistical question is one which has answers based on the gathering of data (possibly multiple answers).
A non statistical question is one which requires no data gathering, and has only one answer.
Ella ate half of her gummy bears before
adding thirteen more to the bowl. If she now
has 25 gummy bears, how many did she start
with?
Give an equation.
please answer/fix these questions
what is x/ solve for x 3x + 22
Answer:
Step-by-step explanation:
3x + 22 = 0
-22 -22
3x = -22
-- ---------
3 3
x = -22
---
3
If you had a spinner with four possible outcomes and a six sided cube numbered 1-6. What is the sample space for the experiment?
Answer:
24
Step-by-step explanation:
The spinner has 4 equally possible outcomes. The die has 6 equally possible outcomes.
Multiply the possible outcomes.
4*6=24