When Angela begins her drive, she is 400 mi from home. She drives at an average of 50 mph until she gets home. Graph the situation.
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Related Questions
A rectangle has an area of 16 ft2. every dimension is multiplied by a scale factor, and the new rectangle has an area of 64 ft2. what was the scale factor?
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The measure of an angle is forty-four times the measure of a supplementary angle. what is the measure of each angle?
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x+44x=180°
x=4
The angle is 4°, supp angle is 176°
Maria works for an automobile dealership. She earns a 10% commission on each motorcycle she sells and a 15% commission on each car she sells.
Maria sells a motorcycle for $5,000 and a car for $25,000. What is the total commission that she will earn on the sale of these two vehicles?
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15/100*25000=3,750
3,750+500= $4,250 total commission earned
The total commission that she will earn on the sale of these two vehicles is $4,250.
Claire's cousin is now 3 times as old as Claire. in 10 years, her cousin will be twice as old as claire. how old is Claire now?
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Claire is currently 10 years old.
Explanation:Let's assume that Claire's age is x.
According to the given information, Claire's cousin is now 3 times as old as Claire. This can be represented as Cousin's age = 3x.
In 10 years, Cousin's age will be twice as old as Claire's age. So, we can write the equation:
(3x + 10) = 2(x + 10)
Simplifying the equation:
3x + 10 = 2x + 20
Subtracting 2x from both sides:
x + 10 = 20
Subtracting 10 from both sides:
x = 10
Therefore, Claire is currently 10 years old.
During a sale,Susan grody paid $155 for a clothes dryer.The price paid reflects a 75% discount off the original price. Determine what is the original price of the dryer.
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The original price of the dryer would be; 38.75 dollars.
How to calculate the unit price of something?Unit means 'single entity, the fundamental constructing block. Usually, it is 1 in mathematics and science. Thus, the unit price of something is the price of 1 thing.
Given that Susan grody paid $155 for a clothes dryer.
The price paid by her reflects a 75% discount off the original price.
Required the original price of the dryer.
Thus,
100 - 75 = 25%
Therefore,
155 x 25%
155 x 0.25 = 38.75
Hence, the original price of the dryer would be; 38.75 dollars.
Learn more about unit prices here:
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Ben's date of birth is a prime number between 15 and 25. This number has 57 as a multiple.
What date is Ben's birthday?
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Consider the terms pyramid, line, square, and triangle. The term ____is not defined in Euclidean geometry.
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Answer: Pyramid
What does y and z equal. I already got x
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74 = 2y
y = 37
4z + 6 = 106
4z = 100
z = 25
When is a protractor preferred to a ruler when finding a measurement
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A protractor is preferred over a ruler when measuring angles, especially in geometric shapes or when dealing with rotational aspects. While a ruler is great for measuring lengths and distances, it can't accurately measure angles.
For example, let's say you want to measure the angle between two lines on a piece of paper. A ruler can only give you an approximation by comparing lengths, but a protractor will give you an exact measurement of the angle in degrees.
To use a protractor, align the center hole of the protractor with the vertex of the angle. Then, align one side of the angle with the zero-degree mark on the protractor. Finally, read the number where the second side of the angle intersects the protractor scale. This gives you the precise measurement of the angle.
In conclusion, when dealing with angles, a protractor is the preferred tool for accurate measurements, providing exact angles in degrees.
Among all rectangles that have a perimeter of 156, find the dimensions of the one whose area is largest. write your answers as fractions reduced to lowest terms.
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We have a perimeter of 156, so we have
2L + 2W = 156
Let the length = x
2x + 2W = 156
The width is
2W = 156 - 2x
W = 78 - x
The area of a rectangle is A = LW
A = x(78 - x)
A = 78x - x^2
This is an inverted parabola, so there is a maximum value.
78x - x^2 = 0
x(78 - x) = 0
x = 0 or x = 78
The zeros of the parabola are at x = 0 and x = 78.
Since the parabola is symmetric over its vertical axis, the maximum values occurs at the x-value in the middle of 0 to 78, which is 39.
At x = 39, the area has a maximum value.
L = 39 & W = 39
It's a square with side measuring 39.
The dimensions of the one whose area is largest is 39 by 39
The formula for calculating the perimeter of a rectangle is expressed as:
P = 2(L + W)
L is the length of the rectangle
W is the width
Given that the perimeter is 156, hence;
2(L + W) = 156
2L + 2W = 156
L + W = 78
W = 78 - L
The area of the rectangle is expressed as:
A = LW
A = L(78-L)
A = 78L - L^2
To get the dimensions of the one whose area is largest, dA/dL = 0
dA/dL = 78 - 2L
0 = 78 - 2L
2L = 78
L = 78/2
L = 39
Recall that 2(L+W) = 156
2(39 + W) = 156
39 + W = 78
W = 78 - 39
W = 39
Hence the dimensions of the one whose area is largest is 39 by 39
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A club with 19 members is to choose three officers president vice president and security secretary treasurer. If each office is to be held by one person and no person can hold more than one office in how many ways can those offices be filled
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The graph of which of the following equations contains the points (2, 3) and (3, 2)? y = x - 1
y = 5 - x
y= 7 - 2x
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Konnor wants to burn 250 calories while exercising for 45 minutes at the gym. on the treadmill, he can burn 6 cal/min. on the stationary bike, he can burn 5 cal/min. if t represents the number of minutes on the treadmill and b represents the number of minutes on the stationary bike, which expression represents the number of calories that konnor can burn on the stationary bike?
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Given that b is the number of calories that can be burned using the stationary bike, and the burning rate is 5 cal / min, therefore:
b = 5 t
where t is the time spent on the stationary bike
Answer:
B=5t
Step-by-step explanation:
if the inequality has the same number on both sides for the answer is that ok?
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Template:
if |x| < k, then -k < x < k
----------------------------------------------------------------------------------
However, the inequality sign is not a "less than" sign. Instead its a "greater than" sign.
So instead you should use this template
if |x| > k then x > k or x < -k
So if
|6y+6| > 0
then
6y+6 > 0 or 6y+6 < 0
Solve each inequality for y
6y+6 > 0
6y+6-6 > 0-6 ... subtract 6 from both sides
6y > -6
6y/6 > -6/6 ... divide both sides by 6
y > -1
Do the same for the other inequality
6y+6 < 0
6y+6-6 < -6
6y < -6
6y/6 < -6/6
y < -1
---------------------------------------------------------------------------------
So overall, the two solutions are y > -1 or y < -1
The keyword "or" is important. You can only choose one inequality or the other, but not both.
Which property justifies this statement?
If 4x=20, then x=5.
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Davis knows that the area of his square shaped bag is 81 ft sq. What is the length of any side of the bag
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You do 81 divided by 4
Juan used the expression 16 – 9 – 12 + 22 to find his profit for days 2 and 3. He rewrote the expression as 16 + (–9) + (–12) + 22. Juan can use the associative and commutative properties to rewrite the expression again. Explain why he had to use the additive inverse before he could use these properties.
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Answer:
Associative property and commutative property true for addition, not true for subtraction.
Step-by-step explanation:
Associative property and commutative property true for addition.
i) a + (b + c) = (a + b) + c ---> Associative property of addition
ii) a + b = b + a --> commutative property of addition.
These properties not true for subtraction.
That's the reason Juan used additive inverse before applying these property.
Hope this will helpful.
Thank you.
[tex]\bold{ a + (b + c) = (a + b) + c } \to[/tex] Associative property of addition
[tex]\bold{a + b = b + a } \to[/tex] commutative property of addition.
As we show above both the property used for the addition and no used for the subtraction, that is why before applying the property Juan applied reverse additives.Learn more:
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Tyson and his friends go ice skating. Tyson must pay an initial fee of $18.30 plus $4.80 per hour. Write an equation for the cost c Tyson must pay after skating h hours. Solve the equation to find the cost to go ice skating for four hours. Write your answer as an ordered pair.
A, c = 4.80h – 18.30 (4, 0.9)
B. c = 4.80 + 18.30h (4, 78.00)
C. c = 18.30 + 4.80h (4, 37.50)
D. c = 18.30 + 4.80 + h (4, 27.10)
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if skate for 4 hours then
18.30 + 4.8(4)
= 18.30 + 19.2
= 37.5
skate 4 hours, cost $37.50
answer
C. c = 18.30 + 4.80h (4, 37.50)
FREE POINTS HELPPP HELPPP WILL GIVE BRAINLEST AND THANKS EASY PLEASE HELP ME
The exponential function in the graph shows the population of Greeville in the years since 2010. What real-world information is given by the point (6, 2707)?
options:
The population in 2006
The population in 2010
The population in 2016
The year in which the population is twice the population in 2010
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The population in 2016 is the answer
A dentist is making identical dental care bags for patients using 56 tubes of toothpaste, 112 packets of floss, and 85 toothbrushes. What is the greatest number of identical dental care bags the dentist can make with the least amount of items leftover. Describe the contents of each bag.
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56 tubes of toothpaste, 112 packets of floss and 84 toothbrushes.
The greatest common factor:
GCF ( 56, 112, 84 ) = 28
56 : 28 = 2, 112 : 28 = 4, 84 : 28 = 3
Answer:
The greatest number of identical dental care bags is 28.
In every bag will be 2 tubes of toothpaste, 4 packets of floss and 3 toothbrushes. One toothbrush will be leftover.
56 = 2 x 2 x 2 x 7
112 = 2 x 2 x 2 x 2 x 7
85 = 5 x 17
L.C.M. (56, 112, 85) = 2 x 2 x 2 x 2 x 5 x 7 x 17
= 560 x 17
= 9520
Therefore, 9520 is the correct answer.
Which is an example of a function?
the time it takes to mow a lawn and the age of the person mowing the lawn
the distance to school and the time you spend at school
the price of a movie ticket and the height of the customer
the price of a piece of cloth and the length of the cloth
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The example of a function is:
The price of a piece of cloth and the length of the cloth.
Step-by-step explanation:We know that a function is a relation in which each element of a set is mapped to a single element of the other set.
i.e. an element has just one image.
1)
The time it takes to mow a lawn and the age of the person mowing the lawn.
This is not a example of function since, the time taken by two person's of different age may be same to mow a lawn.
This means that there is more than one image of a single element i.e. time.
2)
The distance to school and the time you spend at school.
The time one spend at school at different days may be different even if the distance to school is same.
3)
The price of a movie ticket and the height of the customer.
Two person's with different height will buy a movie ticket at the same cost.
Hence, this relation won't be a function.
4)
The price of a piece of cloth and the length of the cloth.
As we know that the price of a cloth is fixed according to the length.
Hence, the relation is a function.
( As corresponding to each price we have a unique length if a piece of clothing )
How can sums and differences of cubes be identified for factoring?
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a³ + b³ = (a + b)(a² - ab + b²)
Example for the sum of cubes:
64x³+y³ ⇒ This is the sum of cubes because each term; 64, x³, and y³ are cube numbers
By writing each term as an expression of cube numbers, we have:
(4x)³ + (y)³ ⇒ 64 is 4³
Use the factorization of the sum of cubes, we have:
(4x + y) ( (4x)²- 4xy + y²)
(4x + y) (16x² - 4xy + y²)
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The difference of cubes can be factorized as:
(x³ - y³) = (x - y)(x² + xy + y²)
Example
(125x³ - 8y³) = (5x - 2y) ((5x)² + (5x)(2y) + (2y)²)
= (5x - 2y) (25x² + 10xy + 4y²)
How is angle a related to angle d?
A) vertical angles
B) alternate interior angles
C) alternate exterior angles
D) corresponding angles
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Answer: Option 'A' is correct.
Step-by-step explanation:
since we have given a line AB and CD such that AB║CD,
And a transversal say 'l' cut the two parallel lines
And we know that when a transversal cuts two parallel lines we get linear pair and corresponding angles
But relation between angle 'a' and angle 'd' is vertically opposite angles.
So, Option 'A' is correct.
I need help asap
the triangles below are congruent. which of the following statements are true
A. a~=d
B. b~=e
C. ab~=de
D. bc~=df
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How to factor this:
6x² + 7x - 5
Please give an explanation on how you did it
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first try 6,1 because I cud see those adding up to 7 and 5 pretty easily.
(6x+...)(x+...)
Now ask yourself what is 5 divisable by because there is a minus sign in front of the 5. you know one of the signs will be negative. 5,-1 or -5,1.
plug those into the parentheses:
(6x+5)(x-1)= 6x^2 -x-5
now try 2,3
(2x+5) (3x-1)= 6x^2 +(3x×5)+(2x×-1) -5= 6x^2+(15x-2x)-5 NOT THE RIGHT ANSWR
TRY SWITCHING THE 5 AND -1 AROUND
try
(2x-1)(3x+5) = (6x^2 +(2x×5)+(3x×-1)-5 = the RIGHT ANSWER!!!!
if y equals -12 when x equals 9 find y when x equals negative 4
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y/x
-12 / 9 = y / -4
Now, cross multiply:
(-12)(-4) = (9)(y)
48 = 9y
y = 48/9 or 5 8/9 or 5.33
Sergio is S years old. Which expression shows how old will he be 7 years from now?
A. 7s
B. 7-s
C. s+7
D. 7s+7
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If Sergio is 'S' years old, and you want to know how old he'll be in 7 years, add 7 years to his age.
So: s + 7
Hope this helps!
I hope that helps!! :)
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What postulate can be used to prove that △ADC≅△CBA ?
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hope this helps
If rectangle DEFG is dilated by a scale factor of 1/2 with a dilation center of (0, 0), what will be the coordinates of point F'?
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the coordinates of F is (2,1), half of them is (1,1/2)
(2×1/2,1×12) = (1,1/2)
7n2 + 8n − 12
A) (7n + 6)(n − 2)
B) (5n − 8)(n + 10)
C) Not factorable
D) (7n − 6)(n + 2)
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= (7n - 6)(n + 2)
cause
(7n - 6)(n + 2)
= 7n^2 - 6n + 14n - 12
= 7n^2 + 8n - 12
answer
D) (7n − 6)(n + 2)