Best Buy was selling video games for $60, they are on sale for 25% off,
what is the selling price of the video games? *
Answer:
$45
Step-by-step explanation:
Answer:
$45
Step-by-step explanation:
If they are 25% off, they are now wroth 75% of original price
0.75 * $60 = $45
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15.3+1h=1.3−1h15, point, 3, plus, 1, h, equals, 1, point, 3, minus, 1, h h =h=h, equals
Answer: h= 6
Step-by-step explanation:
At the beginning of the year, Alyssa had $100 in savings and saved an additional $7
each week thereafter. Colton started the year with $55 and saved $10 every week. Let
A represent the amount of money Alyssa has saved t weeks after the beginning of the year and let C represent the amount of money Colton has saved t weeks after the
beginning of the year. Write an equation for each situation, in terms of t, and determine the famount of money Alyssa and Colton have saved in the week that they have the same amount of money saved.
Answer:
A = 7t + 100 and C = 10t+55 are the equations for each situation and they both will have an amount of $205 after 15 weeks.
Step-by-step explanation:
Given that:
Alyssa started savings with $100
Saved amount each week = $7
A = Amount of money Alyssa have
t = number of weeks
A = 7t + 100
Colton started savings with $55
Saved amount each week = $10
C = 10t + 55
For same amount;
A = C
7t+100 = 10t+55
100-55=10t-7t
45=3t
3t=45
Dividing both sides by 3
[tex]\frac{3t}{3}=\frac{45}{3}\\t=15[/tex]
Putting t=15 in Alyssa's equation
A = 7(15)+100
A = 105+100 = $205
Hence,
A = 7t + 100 and C = 10t+55 are the equations for each situation and they both will have an amount of $205 after 15 weeks.
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Answer:
Yes
Step-by-step explanation:
For values of x when x + 0, which number property is shown below?
17x () = 172
O associative
0 commutative
O multiplicative identity
division property of zero
The length and width of a rectangle, in terms of x, are x + 3 and 2x − 17, respectively. The area of the rectangle is 234 square units. (a) (6 points) DETERMINE the possible values of x
The possible values of x of a rectangle with length and width of x + 3 and 2x - 17 respectively is 15
Area of a rectangle
area of a rectangle = lw
where
l =lengthw = widthTherefore,
length = x + 3
width = 2x - 17
area = 234
Therefore,
234 = (x + 3)(2x - 17)
2x² - 17x + 6x - 51 = 234
2x² - 11x - 51 - 234 = 0
2x² - 11x - 285 = 0
Therefore,
(x - 15)(2x + 19)
Hence,
x = 15 or x = - 19 / 2
we can only use positive values. Therefore, x = 15
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if ab=5 and a²+b²=25,then (a+b)² equals to.
Answer:
30
Step-by-step explanation:
Given
ab=5
a²+b²=25
So
(a+b)²=a²+ab+b²
=a²+b²+ab
=25+5
=30
Answer:
(a + b)² = 35
Step-by-step explanation:
Note the expansion of (a + b)²
(a + b)² = a² + b² + 2ab ← substitute given values
= 25 + 2(5)
= 25 + 10
= 35
Simplify: 5a² - 2b² - c² - 3a² + 3b² + 2c²
Super Salad Dressing is made with 8mL of oil for every 3mL of vinegar.
Which of the following mixtures will taste the same as Super Salad Dressing?
Group of answer choices
3 mL of oil for every 8 mL of vinegar
16 mL of oil for every 9 mL of vinegar
40mL of oil for every 25mL of vinegar
56 mL of oil for every 21 mL of vinegar
Answer:
56mL of oil for every 21mL of vineger
Step-by-step explanation:
56 is a multiple of 8, and 21 is a multiple of 3. 7 times 3 is 21, and 8 times 7 is 56. Hope this helped!
There are 35 people who have
entered the sled race. If 60% of
them are over the age of 15, how
many participants are over 15?
What is the exact value of cos(–60º)?
How do I delete stuff-
try (1/2)
Answer:
-1/2........yw
Step-by-step explanation:
Given AACD and AABE, what is AB?
what's the measure of the top left angle in this triangle and whats the measure of the top right angle?
Answer:
where is the image to solve
Step-by-step explanation:
hint: all angles should equal to 180 added up
The scale of a map is 2/5 inches represents 3 miles. How many miles does 1 inch represent?
Using the problem above, if the tax was 7.25%, what would the final sale price be for each pair of jeans? Round to the nearest cent.
Which of the following does not approve two angles to be congruent. Vertical angles Theorem, Corresponding Angles Postulate, alternate interior Angles theorem, Same-Side Interior Angles Theorem? (Can anyone please help me.?)
Answer:
Same side interior angles theorem
Step-by-step explanation:
Same-Side Interior Angles Theorem: Sum of the same side of interior angles of parallel lines are supplementary
Answer:
I think it is A
Step-by-step explanation:
Hope this helped have an amazing day!
Which ordered pair is the solution to the system of equations ?
Answer:
c
Step-by-step explanation:
Given the2 equations
y = x + 4 → (1)
x + y = 2 → (2)
Substitute y = x + 4 into (2)
x+ x + 4 = 2
2x + 4 = 2 ( subtract 4 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
Substitute x = - 1 into (1) for corresponding value of y
y = - 1 + 4 = 3
solution is (- 1, 3 ) → c
can I please get help
Answer: A. -0.25
Hope it helps :)
Step-by-step explanation:
So since 0.75 and -1.25 are in parenthesis, u have to multiply them.
-1 (0.75 - 1.25) = 0.5
-3/4 - 0.5 = -0.25
So the answer is -0.25
Explain what would happen to a figure if you transformed it using the rule(x-2,y+4). Then state whether the image would be similar, congruent, both, or neither.
Answer:
The figure would move 2 units to the left and 4 units up and the image would be congruent.
Step-by-step explanation:
If you transformed a figure using the rule (x-2, y+4).
Then the figure would move 2 units to the left (x-2) and 4 units up (x+4).
Similar figures would have the same shapes but different sizes.
Congruent figures would have the same shapes and same sizes but might be rotated.
Figures can not be both similar and congruent.
Moving the whole shape will not change the size; therefore, the figures would be congruent.
PLEASE I NEED HELP!!!
The Waterfords rented a truck for a $52.95 fee plus $.35/mi. They spent $33.75 to fill the tank with gasoline before returning the truck. If the Waterfords spent $140.95, including gasoline, to rent the truck, how many miles was the truck driven?
Answer:
155 miles
Step-by-step explanation:
52.95 + 33.75 = 86.7
140.95 - 86.7 = 54.25
54.25 / .35 = 155
155 miles
What is the slope pls help
Answer: non- proportional
Step-by-step explanation:
doesn't go through (0,0)
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
To find the slope of a line, we would need to use the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where two given points are [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]. These points can be any two points that fall on the line.
In the graph, two points we can use to find the slope is (1, 2) and (-2, 0).
[tex]\frac{y_2-y_1}{x_2-x_1}\\\\\frac{0-2}{-2-1} \\= \frac{-2}{-3} \\= \frac{2}{3}[/tex]
Therefore, the slope of the line is [tex]\frac{2}{3}[/tex].
I hope this helps!
Find an ordered pair to represent in the equation vec t =4 vec t +6 vec v vec u =(-1,4) and and
Answer:
(14, 4)
Step-by-step explanation:
The question is not well structured and incomplete.
Restructured
Find an ordered pair to represent in the equation vec t = 4 vec u +6 vec v where vec u =(-1,4) and vec v = (3,-2)
Substitute the given vector into the expression for vec t.
Recall that: vec t = 4 vec u +6 vec v
vec t = 4(-1,4)+6(3,-2)
vec t = (4(-1), 4(4)) + (6(3), 6(-2))
vec t = (-4, 16) + (18, -12)
vec t = (-4+18, 16+(-12))
vec t = (14, 16-12)
vec t = (14, 4)
Hence an ordered pair to represent vec t in the equation is (14, 4)
Note that the vec v was assumed. Any other vector coordinate can also be used
In a survey of 1,900 people who owned a certain type of car, 570 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car? nothing% of the people surveyed were satisfied with the car. (Type a whole number.)
Answer:
The percentage of people who are satisfied with this car model is 30%.
Step-by-step explanation:
Given that the survey interviewed 1,900 people who own a certain type of car, and of them 570 said that they would buy the same car model again, to determine the percentage of people who are satisfied with that model it is necessary to perform the following calculation :
1,900 = 100
570 = X
((570 x 100) / 1,900) = X
57,000 / 1,900 = X
30 = X
Therefore, the percentage of people who are satisfied with this car model is 30%.
HELP i’m confused can someone explain this please?
Answer:
intersecting lines will cross at the point
What is the angle of elevation of a hill whose slope has a length of 345 feet and rises 87 feet?
A 14.2°
B 13.7°
C 14.6°
D
75.8°
The solution is, 14.6° is the angle of elevation of a hill whose slope has a length of 345 feet and rises 87 feet.
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
here, we have,
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
here, we have,
given that,
a hill whose slope has a length of 345 feet and rises 87 feet
now, we have to find the angle of elevation of a hill.
so, we get,
perpendicular = 87
hypotenuse = 345
let, the angle of elevation is θ.
we have,
sin θ = 87/345
so, we get,
θ = 14.6°
Hence, The solution is, 14.6° is the angle of elevation of a hill whose slope has a length of 345 feet and rises 87 feet.
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The length of a side of an equilateral triangle is x - 4.5. Write 2 equivalent expressions, one as a sum and one as a product.
Answer:
see explanation
Step-by-step explanation:
Writing an expression for the perimeter (P) of the triangle
P = x - 4.5 + x - 4.5 + x - 4.5 ← as a sum
P = 3(x - 4.5) ← as a product
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Solve for x.
6x = 78
Determine if the representation below is an example of a function or not a function.
Function
Not a Function
Please help! ASAP! Thanks! <3
Answer:
not a function
Step-by-step explanation:
trust
Each of five, standard, six-sided dice is rolled once. What is the probability that there is at least one pair but not a three-of-a-kind (that is, there are two dice showing the same value, but no three dice show the same value)
Answer:
The probability that there is at least one pair but not a three of a kind is 0.6944.
Step-by-step explanation:
We have the case when we have five dices and we roll them and we need that there is at least one pair but not a three of a king which is Two dice showing the same value, but no three dice showing the value.
Total no of outcomes = [tex]6^5 = 7776[/tex]
We will consider the other cases and then subtract them from the total outcomes.
No of outcomes of 5 of a kind = 6
No of outcomes 4 of a kind and 1 different = (6*5)*5 = 150
No of outcomes with 3 of a kind and 1 different pairs = (6*1*1*5*1)*5C2= 300
No of outcomes with 3 of a kind and two different = 6*5*4*10= 120*10=1200
No of outcomes when all are different = 6! = 720
These all the cases when subtracted from the total will represent the total cases in which there are two dice showing the same value.
Total cases = 6+150+300+1200+720
= 2376
Required no of outcomes = 7776-2376 = 5400
Probability = [tex]\frac{5400}{7776}[/tex] = 0.6944
Therefore the probability for the case of at least one pair but not a three of a kind is 0.6944.
Michael has a collection of 124 sports cards. He hopes to sell the collection in packs of 4 cards and make $496.31 when all the packs are sold. If each pack is priced the same, how much should Michael charge per pack?
Answer:
the price that Michael charge per pack is $16.01
Step-by-step explanation:
The computation of the price that Michael charge per pack is as follows:
= 124 sports card ÷ 4 cards
= 31 packs
Now the charge per pack would be
= $496.31 ÷ 31 packs
= $16.01
hence, the price that Michael charge per pack is $16.01
The same is to be considered