Answer: The answer is d.
Step-by-step explanation:
If the entry amount is $20 then you want to subtract $20 from $35 and that leaves you with $15 now if you divide $15 in $2.50's you get 6
Solving Equations
If an elephant travels for 4 hours at
6.5 mph and a giraffe travels for 2
hours at ll mph, who covers more
distance?
E. elephant
F. giraffe
G. They travel the same distance.
H. cannot be determined based on the
information provided
Q2
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $84.00
Markdown: 32%
The sale price is
Answer:
[tex]Sales\ Price = \$57.12[/tex]
Step-by-step explanation:
Given
[tex]Price = \$84.00[/tex]
[tex]Markdown = 32\%[/tex]
Required
Determine the sales price
First, we calculate the markdown price.
This is calculated by multiplying the original price the markdown percentage
[tex]Markdown\ Price = \$84.00 * 32\%[/tex]
Convert % to decimal
[tex]Markdown\ Price = \$84.00 * 0.32[/tex]
[tex]Markdown Price = \$26.88[/tex]
The sales price is then calculated as:
[tex]Sales\ Price = \$84.00 - \$26.88[/tex]
[tex]Sales\ Price = \$57.12[/tex]
Hence, the sales price after markdown is $57.12
82,77,72,67 find the sequince
Answer:
Subtract 5 as you go along the pattern.
82-5=77-5=72-5=67...
Step-by-step explanation:
what is 50 − 7k when k = −10
Answer:
120
Step-by-step explanation:
Substitute the given number for k into the expression:
50 – 7(–10)
Multiply:
50 – (–70)
Simplify:
50 + 70
Solve:
120
Hope this helps! :)
What is a 68.2 as a grade
Answer:
Depending on how they grade..... a D or a C-
Step-by-step explanation:
In a different tug of war, one team pulls with a force of 50 newtons at an angle of 30 degrees from the positive x-axis, and a second team pulls with a force of 25 newtons at an angle of 250 degrees. Use a scale drawing to determine the total force and angle applied to the central ring. How did they get the following answer?34.8 N at 2.5 degrees from the positive x-axis
Answer:
34.8 N at 2.5 degrees from the positive x-axis
Step-by-step explanation:
From the given information:
The force F makes an angle A with the positive x axis can be expressed in terms horizontal and vertical components.
[tex]F_x = F cos A\\\\ F_y = Fsin A[/tex]
Given that
[tex]F_1 = 50 \ N[/tex]
[tex]\theta_1 = 30 ^0 \ \ \ (x-axis)[/tex]
[tex]F_{1x} = F_1 \times Cos A_1[/tex]
= 50 × cos 30
= 43.3 N
[tex]F_{1y} = F_1 \times Sin \ A_1[/tex]
= 50 × sin 30
= 25 N
Similarly;
[tex]F_2 = 25 \ N[/tex]
[tex]\theta_2 = 250 ^0 \ \ \ ( x-axis)[/tex]
[tex]F_{2x} = F_2 \times cos \ A_2[/tex]
= 25 × cos 250
= - 8.55 N
[tex]F_{2y} = F_2 \times A_2[/tex]
= 25 × sin 250
= -23.5 N
The total net force;
[tex]F_{net} = F_{(net)}_x + F_{(net)}_y[/tex]
[tex]F_{net} = (F_{1x} + F_{2x} ) i + (F_{1y} + F_{2y} )j[/tex]
[tex]F_{net} = (43.3 - 8.55) i + (25-23.5 ) j[/tex]
[tex]F_{net} =34.75 i + 1.5 j[/tex]
[tex]|F_{net} | = \sqrt{F_{net}_x^2 + F_{net}_y^2}[/tex]
[tex]|F_{net} | = \sqrt{34.75^2 + 1.5^2}[/tex]
[tex]|F_{net} | = 34.8 \ N[/tex]
Finally, the direction of the angle for the net force is:
[tex]tan \theta = \dfrac{F_{net_y}}{F_{net_x}}[/tex]
[tex]\theta = tan^{-1} \Big (\dfrac{F_{net_y}}{F_{net_x}} \Big)[/tex]
[tex]\theta = tan^{-1} \Big (\dfrac{1.5}{34.75}} \Big)[/tex]
[tex]\theta = tan^{-1}( 0.043165)[/tex]
[tex]\theta \simeq 2.5^0\ with \ positive \ x-axis[/tex]
Is the following a function? Each student's unique identification number paired with their grade level
Answer:
Yes, because each student's indetification number paired with their grade level
Step-by-step explanation:
The centroid of a triangle is the triangle’s center of gravity. A fountain will be placed at the centroid of the park. The designer wants to place a stone path from the fountain to the midpoint of each side. a. Reproduce the diagram in Item 1 showing the location of the fountain and the stone paths. Mark congruent segments on your diagram. b. What are the coordinates of the location of the fountain? c. What is the actual distance from the fountain to each vertex? d. Find the actual length of each stone path.
Answer:
vertex
Step-by-step explanation:
There are 7 circles and 5 triangles. What is the ratio of triangles to all shapes o 5 to 12 o 12 to 5 O 7 to 5 05 to 7
Answer:
please help help me me my question solve
David Egil and frances share money in the ratio 2:7:9 Egil gets £85 more than David work out how much they each get ?
Answer:
David gets £34, Egil gets £119 and Frances gets £153.
Step-by-step explanation:
Let the amount of money David gets be 2x, Egil be 7x and Frances be 9x.
7x = 2x + 85
7x - 2x = 85
5x = 85
x = 85 ÷ 5
x = 17
David (2x) = 2 × £17
= £34
Egil (7x) = 7 × £17
= £119
Frances (9x) = 9 × £17
= £153
The perimeter of a rectangle is 70cm.
Its longest side has a length of 24cm.
State the length of the shortest side.
Answer:
11 ALSO SOMEONE PLS ANSWER MY QUESTION
Step-by-step explanation:
24+24=48
70-48=22
22/2=11
please help!
select all that apply
Subtract.
- 7 - 12 =
Answer:
-19 is the correct answer
two integers, a and b, have different signs. the absolute value of inter a is divisible by the absolute value of integer b. Find two integers that fit this description. Then decide if the product of the integers is greater than or less than the quotient of the integers.
Two numbers that meet the condition are a = -10 and b = 2, and the quotient between these is larger than the product.
How to find two integers that fit the description?
We have two numbers a and b with different sign.
Let's say that a is negative and b positive.
We know that the absolute value of a is divisible by the absolute value of b.
|a|/|b|
Then we have that |a| ≥ |b|
An example of two numbers that meet these conditions are:
a = -10
b = 2
Where:
|-10|/|2| = 10/2 = 5
Now, the product between the integers will give a large negative number, in this case:
-10*2 = 20
and the quotient will give a smaller, in absolute value, negative number:
-10/2 = -5
Then we can see that the quotient is larger (as both are negative numbers, and the quotient is closer to zero).
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What is the missing coefficient of the x-term of the product (−x−5)2 after it has been simplified?
A. −25
B. −10
C. 10
D. 25
Answer: c
Step-by-step explanation:
Answer:
The missing coefficient of the x-term of the product (-x-5)2 is 10.
Step-by-step explanation:
Solution:
Through whole square formula.(-x-5)2 = (-x)^2 -2(-x)(5)+(5)^2=x^2+10x+25
Therefore, the missing coefficient of the x-term of the product is 10
Step-by-step explanation:
Subtract (-2x² +3x-5) from( 6x2 -4x+2)
Answer:
8x² - 7x + 7
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
(6x² - 4x + 2) - (-2x² + 3x - 5)
Step 2: Simplify
Distribute negative: 6x² - 4x + 2 + 2x² - 3x + 5Combine like terms (x²): 8x² - 4x + 2 - 3x + 5Combine like terms (x): 8x² - 7x + 2 + 5Combine like terms (Z): 8x² - 7x + 7What are some of the characteristics of exponential growth and exponential decay functions?
These are the characteristics of the exponential growth and exponential decay functions
Properties of Exponential Growth Functions
The function is an increasing function; y will increase as x will increase. Range: If a>0, the range is {positive real numbers} The graph is continually above the x axis. Horizontal Asymptote: when b>1, the horizontal asymptote is the negative x axis, as x will become huge negative.
Properties of Exponential Decay Functions
The feature y=f(x) function represents decay if k < 0. The function is a reducing function; y decreases as x will increase. Range: If a>0, the range is {positive real numbers } The graph is always above the x axis.
Therefore, these are the characteristics of the exponential growth and exponential decay functions
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The time T, necessary to make an enlargement of a photo negative,
varies directly to the area, A, of the enlargement. If 36 seconds are
required to make a 2-by-3 enlargement, find the time required for a
5-by-11 enlargement.
Answer:
330 seconds (5 minutes, 30 seconds)
Step-by-step explanation:
You want the time required for a 5×11 enlargement when a 2×3 enlargement takes 36 seconds, and time is proportional to area.
AreaThe area of a rectangle is the product of length and width.
area of smaller enlargement: 2×3 = 6
area of larger enlargement: 5×11 = 55
TimeThe time is proportional to the area, so when the area increases by a factor of 55/6, so does the time:
(36 seconds) × (55/6) = 330 seconds
The time required for a 5×11 enlargement is 330 seconds.
Find the equation for the line of best fit using the two points that are close to the line of best fit (2,70) and (4.5, 90)
Given:
Two points that are close to the line of best fit are (2,70) and (4.5, 90).
To find:
Th equation of best fit line using the given two points.
Solution:
We know that, if a line passes through the two points, then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Two points (2,70) and (4.5, 90) are close to the best fit line.
Consider the two points (2,70) and (4.5, 90). So, the equation of line is
[tex]y-70=\dfrac{90-70}{4.5-2}(x-2)[/tex]
[tex]y-70=\dfrac{20}{2.5}(x-2)[/tex]
[tex]y-70=8(x-2)[/tex]
[tex]y-70=8x-16[/tex]
Adding 70 on both sides, we get
[tex]y=8x-16+70[/tex]
[tex]y=8x+54[/tex]
Therefore, the equation of best fit line is [tex]y=8x+54[/tex].
The expression s2 is used
to calculate the area of a
square, where s is the side
length of the square. What
does the expression (8x)2
represent? The area of a
square with side length __.
A. 8 C. 4x
B. 16 D. 8x
Answer:
expression 4x the area is 16
Step-by-step explanation:
coz the expression one must devide (8x)2 to get 4x and to find the area one must multiplely 4x*4 to get 16
The solution is Option D.
The expression ( 8x )² represents the area of a square with side length 8x
What is the area of a square?
A square is a 4 sided polygon where all the sides are of equal length.
The area of the square is the square of any one of its side
Let a be the side of the square
Area of the square = a²
Given data ,
Let a be the side of the square
Area of the square = a²
Let the expression be A
Now , the value of A is given by
The value of A = s²
where s is the side length of the square
Now , let the expression be B
where the value of B is given as
The value of B = ( 8x )²
Now , 8x will be the side length of the square with ( 8x )² as its area
Therefore , the side length of the square is 8x
Hence , The expression ( 8x )² represents the area of a square with side length 8x
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VERY URGENT !Gloria texts 18 words in the same
amount of time it takes Erica to text
25. Assuming the relationship is
proportional, if Erica texted 500 words,
how many did Gloria text?
Answer:
Gloria would text 360 words if Erica texted 500 words.
Step-by-step explanation:
Let 'y' be the number of words Gloria texts
Let 'x' be the number of words Erica texts
Given that the relationship is proportional
y ∝ x
y = kx
where 'k' is called the constant of proportionality
Given
y = 18x = 25substituting the values to determine the constant of proportionality 'k'
k = y / x
= 18 / 25
Thus, the constant of proportionality = k = 18/25
When Erica texted 500 words, we need to determine the number of words Gloria will text.
so
k = 500
y = ?
k = y / x
y = kx
= 18 / 25 × 500
= 360 words
Thus, Gloria would text 360 words if Erica texted 500 words.
While riding in the car on the highway, Jason notices a sign that says the exit is one mile away and begins counting seconds
It took 60 seconds to get to the exit from that sign. How fast is in mph, is the car going?
11) There are 5 grams of sugar in one 1⁄2 cup serving of Stephanie’s cereal. Write an equation to express how many grams of sugar are in 3 cups of cereal.
Answer:
60 mph
Step-by-step explanation:
1 min to go 1 mile, 60 minutes per hour, 60 x 1=60
Together teammates pedro and ricky got 2685 base hits last season. Pedro had 275 more than ricky. How many hits did each player have?
Which line has an xintercept of 4?
O2 x+2 y=-8
O4x+y=8
O-4x+y=8
O-2x+ 2 y=-8
Answer:
D) -2x+ 2 y=-8
Step-by-step explanation:
the first one has -4
the second one has 8
the third one has -2 the last one has 4
A holiday tree is 4 feet 8 inches tall. There are 2.54 centimeters in one inch. What is the tree’s height in centimeters?
Answer:
The tree's height is 142.24 cm.
Step-by-step explanation:
There are 12 inches in a foot. This means that 4 feet equal 4 * 12 = 48 inches. Since there are 8 more inches, you add 8 to 48. The sum is 56. There are 56 inches in 4 feet and 8 inches.
Now, to convert:
56 * 2.54 = 142.24 (inches to centimeters)
The tree's height is 142.24 cm.
Donald has 5 amount of 20 dollar bills and 1 ten dollar bill. Write an expression to show how to find how much money Donald has.
Answer:
He has 110
Step-by-step explanation:
5x20 = 100
100 + 10 = 110
According to Investment Digest ("Diversification and the Risk/Reward Relationship", Winter 1994, 1-3), the mean of the annual return for common stocks from 1926 to 1992 was 16.5%, and the standard deviation of the annual return was 19%.
What is the probability that the stock returns are less than 18.5%
The probability that perhaps the stock returns will be less than 18.5% is 0.542.
The normal distribution is:In most cases where the possible study population is large, a normal distribution is chosen. Apart from its easier application than that of other distribution methods, this is the primary reason for its efficiency.
According to the given information:Let X be the annual return on common stocks throughout 1926 to 1992.
The average of X is 16.5%.
X has a standard deviation of 19%.
Assume X is regularly distributed.
X∼N(μ,σ)
∼N(16.5,19)
The likelihood that stock returns seem to be less than 18.5% is calculated using the Z-table, as shown below.
P(X < 18.5) = [tex]P\left(\frac{X-\mu}{\sigma} < \frac{18.5-16.5}{19}\right)[/tex]
= P(Z < 0.1053)
= 0.542
The probability that perhaps the stock returns will be less than 18.5% is 0.542.
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Large bottle of juice contains 500 ml of juice. Medium bottle contains 70% as much juice as large bottle. How many milliliters of juice are in the medium bottle?
Answer:
350 milliliters
Step-by-step explanation:
70% of 500 is 350
Question 13 of 28
What is the length of each leg in the right triangle shown?
OA. 7
OB.
O C. 7.2
OD. 2
742
Answer:
7
Step-by-step explanation:
as the given angle is 45 degree in both side,
we can get this answer by solving Pythagoras formula
both angle will be 7root(2) / root(2) = 7
use sin (45) as reference which is 1/root(2)
What are composite numbers 7 13 39 97
39 is a composite numbers out of 7 13 39 97.
What is composite number?A composite number is one that can be generated by multiplying two smaller positive numbers. It is a positive integer with at least one divisor other than 1 and itself. Every positive integer is either composite, prime, or the unit 1, hence composite numbers are those that are neither prime nor a unit.
The integer 14 is a composite number, for example, since it is the product of the two smaller integers 2 7 Similarly, the numerals 2 and 3 are not composite numbers because they can only be divided by one and themselves.
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