Answer: T=7
Step-by-step explanation:
0t−15−7.5t=6−0.5t
2 Simplify 10t-15-7.5t10t−15−7.5t to 2.5t-152.5t−15.
2.5t-15=6-0.5t2.5t−15=6−0.5t
3 Add 1515 to both sides.
2.5t=6-0.5t+152.5t=6−0.5t+15
4 Simplify 6-0.5t+156−0.5t+15 to -0.5t+21−0.5t+21.
2.5t=-0.5t+212.5t=−0.5t+21
5 Add 0.5t0.5t to both sides.
2.5t+0.5t=212.5t+0.5t=21
6 Simplify 2.5t+0.5t2.5t+0.5t to 3t3t.
3t=213t=21
7 Divide both sides by 33.
t=\frac{21}{3}t=
3
21
8 Simplify \frac{21}{3}
3
21
to 77.
t=7t=7
PLEASE HELP 60 POINTS
The table represents the linear function f(x), and the equation represents the linear function g(x).
Compare the y-intercepts and slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.
x f(x)
0 1
2 4
4 7
g(x) = 2x + 1
The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
Answer: A
Step-by-step explanation: got it right on my test
PLEASE ANSWER ASAP FOR BRAINLEST!!!!
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
What is the exact value of cos(–60º)?
How do I delete stuff-
try (1/2)
Answer:
-1/2........yw
Step-by-step explanation:
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
Given AACD and AABE, what is AB?
ILL MARK BAINLIEST HELP TTTTTTTTTREEEEEEEEEEEEEEEEEEEE
Answer:
Yes
Step-by-step explanation:
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
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.
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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Simplify: 5a² - 2b² - c² - 3a² + 3b² + 2c²
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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Explain how to write an equivalent expression by combining like terms.
w + 10 + w – 4
Answer:
To combine like terms, add the variable terms together and then add the constants together. When you combine the variable terms, you have 1w + 1w, which is 2w. When you combine the constants, you have 10 – 4, which is 6. The equivalent expression is 2w + 6.
Step-by-step explanation:
Answer:
add both "w" which equals 2w. Then add 10 and -4 which is 6. So the answer is 2w+6... I'm pretty that's the answer make sure to double-check though
Step-by-step explanation:
Hope this helps!!
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!
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.
Jamie scored an 85% on a test that had 20 questions on it. How many question did she get right? How many questions did she get wrong?
Answer:10 wrong
Step-by-step explanation:
I am smart
Hope it helps :)
The school store sells correction fluid and correction tape. Correction fluid
cost $1.30 and correction tape costs $0.20. On Tuesday they sold 10 of
these items earning a total of $4.20. How many of each item did they sell?
f(x) = 3x + 2
What is f(5)?
Answer:
17
Step-by-step explanation:
Substitute 5 in place of x
f(5) = 3*5 + 2
*EASY* Solve with steps! *WILL MARK BRAINLIEST*
Answer:
OK I will If u need any math help just ask me!!
Step-by-step explanation:
Have a wonderful day!!!
Answer:
i can help you with math i have an A+ currently and i would love yo help you. have a good day!
HELP i’m confused can someone explain this please?
Answer:
intersecting lines will cross at the point
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
Last one lol see picture.. will mark brainliest!!
Answer:
the second one
Step-by-step explanation:
The scale of a map is 2/5 inches represents 3 miles. How many miles does 1 inch represent?
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
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:
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
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
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Solve for x.
6x = 78
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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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.
A jar contains 4 coins, a penny, a nickel, a dime and a quarter. If 2 coins are selected, how
many different amounts of money are possible?
Answer:There are 6 possible amounts.
Step-by-step explanation:
It's 4 Choose 2 meaning 4 coins choosing two which translates to 4C2 on your calculator