Make two equations:
Carlos: y=10x+85
Michael: y=5x+120
Set them equal to each other and solve:
10x+85=5x+120
5x+85=120
5x=35
x=7
So therefore, B is the correct answer
Hope this helped!
Final answer:
To determine when Carlos and Michael will have the same number of baseball cards, set up an equation based on their weekly acquisitions. After solving the equation, it is revealed that they will have the same amount in 7 weeks.
Explanation:
The subjects of interest are Carlos and Michael's baseball card collections.
Carlos starts with 85 cards and adds 10 each week, while Michael starts with 120 and receives 5 more weekly.
To find when they will have the same amount, set up an equation:
Carlos's cards: 85 + 10x (x representing the number of weeks)Michael's cards: 120 + 5xSolve the equation: 85 + 10x = 120 + 5xTherefore, x = 7 weeks, so the answer is B: in 7 weeks.
x = 1 and y = -3 satisfy x - 2y = 5
True or false
Answer:
false
Step-by-step explanation:
Step :1
Given x- 2 y =5 .......(1)
put x=1 and y= -3 on left hand side of given equation
1 - 2 (-3) = 5
1 + 6 = 5
7 ≠ 5
both sides are not equal
so it is false
Answer:
false
Step-by-step explanation:
x - 2y = 5
when x = 1, and y = -3
1 -2(-3) = 5
1 + 6 = 5
7 ≠ 5
What is the volume of this cylinder?
Use π ≈3.14 and round your answer to the nearest hundredth.
Answer:
301.59 or estimated value is 301.60
first you have to find the circumference and then multiply the height by the circumference.
hope it helps
helppppppppppppppppp
Answer:
C
Step-by-step explanation:
Note that (f + g)(x) = f(x) + g(x)
f(x) + g(x)
= 4x + 1 + x² - 5 ← collect like terms
= x² + 4x - 4 → C
Please solve for x. (-:
Also please show me a step-by-step, thanks! uwu
Answer:
[tex]x=27[/tex]
Step-by-step explanation:
we know that
[tex](3x+9)^o+90^o=180^o[/tex] ----> by supplementary angles (form a linear pair)
Solve for x
Combine like terms
[tex](3x+99)^o=180^o[/tex]
subtract 99 both sides
[tex]3x=180-99\\3x=81[/tex]
Divide by 3 both sides
[tex]x=27[/tex]
7 2/3 + 2 1/5 as a fraction
Answer:
148/15 or 9 13/15
Step-by-step explanation:
7 2/3 + 2 1/5
7 2/3 needs to be translated into a bigger fraction by taking 7 and multiplying it with the denominator and then adding onto the numerator.
7 2/3 = 23/3
The same goes for 2 1/5.
2 1/5 = 11/5
Now we have 23/3+11/5 so we need to find a common denominator which would be fifteen.
23/3 + 11/5
23/3 x 5/5 = 115/15
11/5 x 3/3 = 33/15
115/15 + 33/15 = 148/15
The value of 7 2/3 + 2 1/5 is 9 13/15
The lowest common multiple of 3 and 5 is 15. Therefore, 7 2/3 + 2 1/5 will be calculated thus:
= 7 2/3 + 2 1/5
= [7 + 2/3× 15] + [2 1/5 × 15]
= 7 10/15 + 2 3/15
= 9 13/15
In conclusion, the value of the fraction 7 2/3 + 2 1/5 is 9 13/15
Read related link on:
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Which expressions are equivalent to 5 (one-third x + 7) minus 3 (one-half x minus 4)? Select three options.
5 and one-third x minus 3 and one-half x + 35 minus 12
One-sixth x + 47
1 and two-thirds x + 35 minus 1 and one-half x + 12
5 (one-third x) + (5) (7) minus (3) (one-half x) + (3) (4)
1 and one-third x + 35 minus 1 and one-half x minus 12
Answer:
One-sixth x + 47
1 and two-thirds x + 35 minus 1 and one-half x + 12
1 and one-third x + 35 minus 1 and one-half x minus 12
Step-by-step explanation:
The original expression in this problem is
[tex]5(\frac{1}{3}x+7)-3(\frac{1}{2}x-4)[/tex]
We start by applying the distributive property and multiplying each factor outside the brackets by each factor inside:
[tex]5\cdot \frac{1}{3}x+5\cdot 7 -3\cdot \frac{1}{2}x+3\cdot 4[/tex]
So we get:
[tex]\frac{5}{3}x+35-\frac{3}{2}x+12[/tex]
Now we can rewrite this using mixed fractions:
[tex]1\frac{2}{3}x+35-1\frac{1}{2}x+12[/tex] (1)
Which can be also written as
[tex]1\frac{2}{3}x+35-(1\frac{1}{2}x-12)[/tex] (2)
And finally, by solving it, we find
[tex]\frac{1}{6}x+47[/tex] (3)
So the three correct options are
One-sixth x + 47
1 and two-thirds x + 35 minus 1 and one-half x + 12
1 and one-third x + 35 minus 1 and one-half x minus 12
The system crosses (3,4). How many solutions will the system have?
Answer:
the system would have crossed one solution
Can someone please answer this question please answer my questions answer it correctly please and show work please
Answer:
1) A
2) B
Step-by-step explanation:
1) Zoe payed a total of $77.49
$4.99 shipping fee + 14.50(n) scarves = $77.49
4.99 + 14.50n = 77.49
A
2)
2 electrons, each have a (-1) charge
2 protons, each have a (+1) charge
-1 - 1 + 1 + 1
-2 + 2
0
B
Hope this helps :)
Chicken costs $3.20 per pound, and beef costs $4.59 per pound. What is the exact cost of 3 pounds of beef?
Answer:
$13.77 for three pounds of beef
Answer:
THE ANSWER WOULD BE $13.77 FOR THREE LBS OF BEEF
Step-by-step explanation:
$4.59 x 3 = $13.77
PLEASE MARK BRAINLIEST IF THIS HELPED I ONLY NEED 1 MORE
A pitcher throws a baseball to a batter who then hits the ball. At which of these times would the ball have its maximum speed? A. just as it leaves the bat B. a second after it leaves the bat C. two seconds after it leaves the bat
Answer:
A. just as it leaves the bat
Step-by-step explanation:
It depends on the assumptions you make.
If you assume that the speed is reduced by air resistance, and that the hit is a fly ball, then the speed begins to slow as soon as the ball leaves the bat. Its maximum speed will be just as it leaves the bat.
__
If you assume no air resistance and that the ball takes 1 second to reach the ground, the speed will be a maximum just as the ball hits the ground, a second after it leaves the bat.
__
If you assume no air resistance and that the ball takes 2 seconds to reach the ground, the speed will be a maximum just as the ball hits the ground, two seconds after it leaves the bat.
__
Depending on the nature of the pitch and the hit (and the assumptions you make about energy loss and gain), the maximum speed may be as the ball leaves the pitcher's hand, or just as the ball hits the bat.
__
My guess is that the assumptions listed for the first case are the ones you're most likely expected to use. The answer above reflects that choice.
The possible values of x are given by x−3≥2 . What is the least possible value of 5x ?
Answer:
25
Step-by-step explanation:
Solving the inequality
x - 3 ≥ 2 ( add 3 to both sides )
x ≥ 5
Thus the least value of x is x = 5, hence
least possible value of 5x = 5(5) = 25
Final answer:
The least possible value of 5x, when x-3≥2, is 25, as x must be at least 5, and 5x equals 25 when x is 5.
Explanation:
The student's question asks to find the least possible value of 5x given the inequality x-3≥2. To solve this, we first find the smallest value of x that satisfies the inequality. We add 3 to both sides of the inequality to isolate x, obtaining x≥3+2, which simplifies to x≥5. Therefore, the smallest value of x is 5. Now, we multiply this value by 5 to find the least possible value of 5x, which is 5×5=25.
a coin is tossed, then a letter in the word accomplishment is chosen at random. find the probability of heads, then a vowel
Answer:
1/7
Step-by-step explanation:
Heads: 1/2
Accomplished: 14 letters
Accomplished: 4 vowels
P(vowel) = 4/14 = 2/7
P(H and vowel) = 1/2 * 2/7 = 1/7
Final answer:
The probability of tossing a head and then selecting a vowel from the word 'accomplishment' is 3/28 or approximately 0.107.
Explanation:
The question asks us to find the probability of getting a head on a coin toss and then picking a vowel from the word 'accomplishment'. First, we determine each probability separately. The probability of getting a head when tossing a fair coin is 1/2, as there are two outcomes (head or tail), and getting a head is one of them.
The word 'accomplishment' has 14 letters, of which 3 are vowels (a, o, i). Therefore, the probability of picking a vowel at random from 'accomplishment' is 3/14. To find the combined probability of both events happening in sequence (tossing a head then picking a vowel), we multiply the probabilities of the individual events: (1/2) * (3/14) = 3/28 or approximately 0.107.
which inequality is graphed on the number line ?
What is the quotient?
212,960 - 1000
o
2.1296
21.296
212.96
0
2129.6
The quotient is 212.96.
Solution:
Given expression is [tex]\frac{212,960}{1000}[/tex].
Divide the given expression to find the quotient.
Decimal rule when numerator is divided by 10, 100, 1000, 10000 etc..
If you have one zero in the divisor (10), then the decimal point will move 1 place to the left of the last digit.If you have two zeros in the divisor (100), then the decimal point will move 2 place to the left of the last digit.If you have three zeros in the divisor (1000), then the decimal point will move 3 place to the left of the last digit.[tex]$212960\div1000=\frac{212960}{1000}[/tex]
Here, we have 3 zeros in the denominator.
So, the decimal point is move 3 digit to the left of the last digit.
[tex]$212960\div1000=212.96[/tex]
So, option C is the right answer.
Hence the quotient is 212.96.
Answer:212.96
Step-by-step explanation:
Substitution:
y=3x+2
-4x+2y=8
GET 20 PTS AND BE NAMED BRAINLIEST AND A THANK YOU PLEASE HELP!!!!!!!!!!!!!!!
Given the percent bar graphs, which best represents the responses of the Economy Majors?
Very Good = 4, Good = 20, Neutral = 11
Very Good = 6, Good = 19, Neutral = 10
Very Good = 18, Good = 55, Neutral = 27
Very Good = 5, Good = 18, Neutral = 12
Answer:
The answer is C) Very good = 18 Good = 55 Neutral = 27
Step-by-step explanation:
The answer is C) Very good = 18 Good = 55 Neutral = 27
the other person was right
and i feel really bad that somebody else got their answer deleted
Determind the total area of the rectangle. Give your answer in factorised form.
Answer:
2(x + 3)(4x + 1)
Step-by-step explanation:
The area (A) of the rectangle is calculated as
A = length × width
length = 2(x + 3)
width = 2x + x + 1 + x = 4x + 1
Thus
A = 2(x + 3)(4x + 1)
At Keller's Bike Rentals, it costs 42$ to rent a bike for 8 hours. How many hours of bike use does a customer get per dollar? rounded to nearest hundredth
Final answer:
By dividing the total hours of bike use (8 hours) by the total cost ($42), you find that a customer gets approximately 0.19 hours of bike use per dollar when renting a bike at Keller's Bike Rentals, rounded to the nearest hundredth.
Explanation:
To determine how many hours of bike use a customer gets per dollar at Keller's Bike Rentals, we need to perform a simple division calculation using the information provided. The total cost of renting a bike for 8 hours is $42.
Dividing the total hours of bike use by the total cost gives us the hours of bike use per dollar:
Hours per dollar = Total hours of bike use / Total cost
Hours per dollar = 8 hours / $42
Now, we perform the division:
Hours per dollar = 0.19047619...
When rounded to the nearest hundredth, this is approximately 0.19 hours per dollar.
martin throws a ball straight up in the air. the equation h(t) = -16t^2 + 40t + 5 gives the height of the ball, in feet, t seconds after martin releases it.
how many seconds before the ball martin threw hits the ground?
show your work.
(pls answer asap!!)
Answer:
2.62 seconds
Step-by-step explanation:
Let
t ----> the time in seconds
h(t) ----> he height of the ball, in feet
we have
[tex]h(t)=-16t^2+40t+5[/tex]
we know that
When the ball hits the ground, the height is equal to zero
so
[tex]-16t^2+40t+5=0[/tex]
The formula to solve a quadratic equation of the form
[tex]at^{2} +bt+c=0[/tex]
is equal to
[tex]t=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}[/tex]
in this problem we have
[tex]-16t^2+40t+5=0[/tex]
so
[tex]a=-16\\b=40\\c=5[/tex]
substitute in the formula
[tex]t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}[/tex]
[tex]t=\frac{-40\pm\sqrt{1,920}} {-32}[/tex]
[tex]t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec[/tex]
[tex]t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec[/tex]
therefore
The solution is t=2.62 seconds
george buys a bowl of soup and bread for $8.00 and leaves a 6% tip what is the total cost of the meal
Answer:
$8.48
Step-by-step explanation:
$8.00 x .06%= $ .48 ---$8.00 + $ .48=$8.48
Answer:
$8.48
Step-by-step explanation:$8.00 x .06%= $ .48 ---$8.00 + $ .48=$8.48
Hair Color Boys Girls
Black 4 5
Blonde 4 6
Brown 10 8
Red 2 1
The table shows the number of boys and girls that have black, blonde, brown, or red hair color.
What is the probability that a student has brown hair? (round to nearest hundredth)
A) 0.42
B) 0.45
C) 0.58
Eliminate
D) 0.82
Answer:
B) 0.45
Step-by-step explanation:
The total number of students is:
4 + 5 + 4 + 6 + 10 + 8 + 2 + 1 = 40
The number of students with brown hair is 10 + 8 = 18.
So the probability is:
P = 18/40 = 0.45
Answer: B.) 0.45
~~~~~~~~~~~~~~
The rate at which energy is used is called
work, voltage, power, or amperage.
Answer:
The rate at which energy is used is called power.
Step-by-step explanation:
Answer:
Power is the answer
Step-by-step explanation:
Pleeease help, I've been stuck on this for weeks!!
Answers:
complementary Angles
Supplementary Angles
definition of complementary angles
definition of supplementary angles
distributive property
substitutive property
Answer:
It is given that [tex]\angle ABC[/tex] and [tex]\angle CBD[/tex] are complimentary angles.
[tex]m\angle ABC + m\angle CBD = 90 \textdegree[/tex] using the definition of complementary angles.
given that [tex]m\angle ABC = 35 \textdegree .[/tex] Using the substitutive property
[tex]35 \textdegree + m \angle CBD = 90\textdegree[/tex]
Therefore, using subtraction property of equality [tex]m \angle CBD = 55 \textdegree[/tex]
Step-by-step explanation:
It is given that [tex]\angle ABC[/tex] and [tex]\angle CBD[/tex] are complimentary angles.
[tex]m\angle ABC + m\angle CBD = 90 \textdegree[/tex] using the definition of complementary angles.
given that [tex]m\angle ABC = 35 \textdegree .[/tex] Using the substitutive property
[tex]35 \textdegree + m \angle CBD = 90\textdegree[/tex]. Therefore, using subtraction property of equality [tex]m \angle CBD = 55 \textdegree[/tex]
Lolo typed 1,125 words in 15 minute let w represent the number of words typed each minute if Lolo typed the same number of word each minute how many words did she type in 1 minute
Answer:
15 words
Step-by-step explanation:
i looked it up online
What is the value of 7 in the number 82.76? Give your answer as a fraction
Answer:
it would be 7/10
The required value of the 7 in the number is 1/10th of the given number.
Given that,
The value of 7 in the number 82.76, is to be determined.
A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.
Here,
The number 82.76 = 8 × 10 + 2 × 1 + 1/10×7 + 1/100×6
So the position of the value 7 in the given number from the above expression is given as 1/10th.
Thus, the required value of the 7 in the number is 1/10th of the given number.
Learn more about the number system here:
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How many multiples of 4 are natural
numbers less than or equal to 10?
Answer:
2, there'd be more, but natural numbers are like, whole numbers, integers basically except they're like non-negative integers. Enough ranting. So 4 and 8 would be the numbers because they are mulitplied by 4,1, and 2.
Since 4 cant go into 10 completely without a decimal, there'd only be 2 multiples.
Confusing explanation, but i think my answer is correct. (or is it, dun dun dun!)
Have a good day~
The first house on the street has a lawn that is 300 feet long. The second house
has a lawn that is 50 feet shorter than the first lawn. The third house has a lawn
that is twice that of the second house. How far is it from the beginning of the
first house's lawn to the end of the third house's lawn?
feet
Final answer:
The total distance from the beginning of the first house's lawn to the end of the third house's lawn is 1050 feet. This calculation is done by adding the length of the first house's lawn (300 feet), the second house's (250 feet), and double the second's lawn for the third house's (500 feet).
Explanation:
To calculate the total length of the lawns from the first to the third house, we first determine the length of each lawn individually and then add them together:
The first house has a lawn that is 300 feet long.
The second house has a lawn that is 50 feet shorter than the first lawn, so it is 300 - 50 = 250 feet long.
The third house has a lawn that is twice the length of the second house's lawn, so it is 2 × 250 = 500 feet long.
Add the lengths of the three lawns together to find the total distance from the beginning of the first house's lawn to the end of the third house's lawn:
300 feet + 250 feet + 500 feet = 1050 feet
Therefore, it is 1050 feet from the beginning of the first house's lawn to the end of the third house's lawn.
Melanie read 45 pages of a hundred page book her younger sister read half of a 10 page book who read a greater fraction of her book Melanie or her sister
plz help asap......................................
Option B:
Law of cosine, two sides and the included angle are known.
Solution:
Let us first know the law of cosines and law of sines.
Law of cosine:
If we know the sides a, b and the included angle θ, then we can find the third side c. This is known as the law of cosine.
[tex]c^2=a^2+b^2-2abcos\theta[/tex]
Law of sine:
The sides of a triangle are to one another in the same ratio as the sines of their opposite angles.
[tex]$\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]
Given ∠P and the sides r, q are known.
To find the value of p:
Option A: Law of cosines, all sides are known.
It is false by the above definition of law of cosine.
Option B: Law of cosine, two sides and the included angle are known.
It is true by the above definition of law of cosine.
Option C: Law of sines, all sides are known.
It is false, because one angle is given in question.
Option D: Law of sines, two angles and the included side are known.
It is false, because two angles are not given.
Option B is the correct answer.
Hence the answer is "Law of cosine, two sides and the included angle are known".
12(5+2y) = 4y - (5 - 9y)
What is y?
Answer:
y=-65/9
Step-by-step explanation:
12(5+2y)=4y-(5-9y)
60+24y=4y-5+9y
60+24y=13y-5
60+24y-13y=-5
60+9y=-5
9y=-5-60
9y=-65
y=-65/9
The value of y that satisfies the equation is y = -65/11.
The equation is given as follows:
12(5+2y) = 4y - (5 - 9y)
To find the value of y that satisfies the equation, we can solve for y by simplifying the equation.
Given equation:
12(5 + 2y) = 4y - (5 - 9y)
First, let's simplify both sides of the equation:
60 + 24y = 4y - 5 + 9y
Next, let's combine like terms:
24y - 4y - 9y = -5 - 60
Simplifying further:
11y = -65
Finally, divide both sides of the equation by 11 to solve for y:
y = -65/11
Therefore, the value of y that satisfies the equation is y = -65/11.
Learn more about the solution to the equation here:
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