Answer:
b= 3
Step-by-step explanation:
2b +4 = 3b +1
-2b. -1
b = 3
Peter leaves Mitchell's house traveling 30 mph. Mitchell leaves 15 min later, trying to catch up to peter, going 40 mph. if they drive along the same route, how long will it take Mitchell to catch Peter?
Answer:
45 minutes
Step-by-step explanation:
At 30 mph for 1/4 hour, Peter has a 7.5 mile head start. After he leaves, Mitchell closes that gap at the rate of 40-30 = 10 miles per hour. It will take him ...
t = d/s
t = (7.5 mi)/(10 mi/h) = 0.75 h
to catch Peter.
Mitchell will catch Peter in 45 minutes.
__
Alternate Solution
Another way to look at it is that Mitchell's 10 mph advantage is 1/3 of Peter's speed, so it will take 1/(1/3) = 3 times the period of Peter's head start:
3 × 15 minutes = 45 minutes . . . for Mitchell to catch Peter
_____
You can write equations involving time and distance and see where the distances traveled become the same. You need to be careful choosing the time reference, since you're concerned with Mitchell's travel time. I personally prefer to work "head start" problems by considering the differences in time and speed, as above. This is where you end up using the equations approach, anyway.
help!
what is the answer to this problem?
Answer:
D
Step-by-step explanation:
Because 12 is greater than -5 and when you divide a postive and a negative you get a negative number. And negative numbers are less than 0 .
4. Lines 1 and 2 are parallel, and lines 3 and 4 are parallel.
Answer:
x=105
y=75
z=105
Step-by-step explanation:
Answer: x=105 y=75 z=105
Use the Pythagorean Theorem to find the missing length in the right triangle
12 cm
a
17 cm
The missing length is
cm.
(Round to one decimal place as needed.)
Answer:
it depends
Step-by-step explanation:
If 17 is the hypotenuse
[tex]c=17\\\\b=12\\\\a=?\\\\c^{2} =a^2+b^2\\\\17^2=a^2+12^2\\\\17^2-12^2=a^2\\\\(17-12)(17+12)=a^2\\\\5(27)=a^2\\\\a=\sqrt{9*3*5} \\\\a=3\sqrt{15} \\\\a=11.6[/tex]
if you are looking for the hypotenuse
[tex]a=17\\\\b=12\\\\c=?\\\\a^2+b^2=c^2\\\\17^2+12^2=c^2\\\\289+144=c^2\\\\433=c^2\\\\c=\sqrt{433} \\\\c=20.8[/tex]
what place value are the 8s in 888,000?
Answer:
1,000
10,000
100,000
Step-by-step explanation:
6th grade math pls help
Answer:
you just estimate it. which means pick a number that you think could be the right answer. estimates can never be wrong
Donovan wants to earn a 70% in Mr. Mottola's class. He knows he currently has an 68% in the class after 5 grades. What is the minimum grade Donovan would need to earn in order to have a 70%.
Answer:
If donovan wants to get dem grades up he has to stop talking out of turn, stop passing notes to his friends, stop fighting, stop trying to kiss the girls, stop cussing, mind his own bussiness, and do his work
Step-by-step explanation:
7(-8)-2y=-52
help...
Answer:
y=-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
7x - 2y = -52
7(-8) - 2y = -52
-56 - 2y = -52
-2y = 4
y = -2
Best of Luck!
Tyrone solved an algebraic equation correctly. He got the answer 5 = 3. This answer indicates that the solution to the equation is: A. x = 3 B. x = 5 C. infinitely many solutions D. no solution
Answer:
No solution.
Step-by-step explanation:
5 can't equal 3 my friend.
Answer:
D no solution.
Step-by-step explanation:
5 doesn't equal 3
Arian is making bracelets. For each bracelet, it takes 1/10 of hour to pick out materials and 1/4 hour to braid it together. How many bracelets can Arian make in 5 hours?
I know this is easy math but I couldn't understand a thing my math teacher was talking about when we learned this.
In 5 hours Arian can make 14 Bracelets.
What is unitary method ?Unitary method is first obtaining the value of a single unit and then deriving any given unit given.
According to the given question Arian is making bracelets.
It takes 1/10 of hour to pick out materials and 1/4 hour to braid it together.
∴ To completely make a bracelet it will take ( 1/10 + 1/4 ) hours which is
= 7/20 hours OR (7/20)×60 minutes = 21 minutes.
5 hours is = 5×60 = 300 minutes.
So, in 21 minutes he makes 1 bracelet.
In 300 minutes he can make (300/21) Bracelets which is
= 14.28 Bracelets.
learn more unitary method here :
https://brainly.com/question/21648365
#SPJ2
Please help with part A!!
Answer:
Option A. A and D
Step-by-step explanation:
This answer because they are both right triangles and are near the same size
Hope this helps!
Neil are 99% of the pizza. Did Neil eat the Entire Pizza? Yes or No
Answer:
No
Step-by-step explanation:
100 - 99 = 1.
He left 1% of pizza.
Therefore, the answer is no.
Answer:
no ◇◇
Step-by-step explanation:
I hoped I helped ◇◇
Ann invested $61,000 into two accounts. The first account pays an annual interest rate of 5% and the second account pays an annual interest rate of 7%. After one year, Ann earned $3430 in interest. How much was invested in each account? Round your answer to the nearest cent, if necessary. [For full credit, set a system of linear equations and solve the system]
Answer:
2nd Account has $19,000
1st Account has $42,000
Step-by-step explanation:
First let's split the money invested.
x is money in account 1
y is money in account 2
1st equation
$61,000=x+y
5%=0.05
7%=0.07
2nd equation
0.05*x+0.07*y=$3,430
x=61,000-y
substitute into 2nd equation
0.05(61,000-y)+0.07y=3430
Solve.
3050-0.05y+0.07y=3430
0.02y=3430-3050
0.02y=380
y=380/0.02
y=$19,000
There are 2(two) ways to solve for the 1st account, but I will do it the long way.
y=61,000-x
substitute into 2nd equation
0.07(61,000-x)+0.05x=3430
Solve.
4270-0.07x+0.05x=3430
-0.02x=3430-4270
-0.02x=-840
x=-840/-0.02
x=$42,000
The short way...
x=61,000-y
x=61,000-19,000
x=$42,000
PLEASEEE HELP
1. Andrea ran and biked for a total of 32 mi in 4 hours. Her average running speed was 5 mph and her average biking speed was 13 mph.
Let x = total hours Andrea ran.
Let y = total hours Andrea biked.
Use substitution to solve for x and y. Show your work. Check your solution.
(a) How many hours did Andrea run?
(b) How many hours did she bike?
Answer:
Ran: 2.5hr
Biked: 1.5hr
Step-by-step explanation:
x = total hrs ran
y = total hrs biked
4 = total hours ran + biked
soo.....
x + y = 4hr
then you can convert that for solving y or x
Ex. x = 4-y or y = 4-x
Then just plug in either x or y
EQUATION: 5x + 13y = 32
Dont plug in both x or y at the same time. Pick one and solve
Help me I will give extra points
Answer: g(x) = -4x + 5
Please mark me brainliest instead of points
If two opposite sides of a square are increased by 8 meters and the other sides are decreased by 5 meters, the area of the rectangle that is formed is 68 square meters. Find the area of the original square.
Answer:
21
Step-by-step explanation:
8 * 2 = 16
5 * 2 = 10
68 - 16 = 52 - 10 = 42.
The perimeter of the square is 42.
42 / 4 = 10.5. 10.5 is the length of a side.
10.5 * 2 = 21.
13. A jeweller bought an engagement ring for €1200 and
sold it at a profit of 15%.
Find the sale price of the ring.
Answer:
CP of ring = 1200
profit % = 15%
Profit amount = 15% 0f 1200 = 180
SP = 1200 + 180 = 1380
Answer:
€ 1380
Step-by-step explanation:
The jeweller bought the ring for €1200 and got a profit of 15% when he sold it. That means,
[tex] = \frac{15}{100} \times 1200 \\ = 180[/tex]
he got €180 more money (which is equivalent to 15% of the portion of the money that he originally paid for the ring).
So, the selling price (the new price of the ring) would be:
= Original price + profit
= €1200 + €180
= €1380
A line passes through point (-6, -1) and is parallel to the equation y2x-5.
What's the equation of the line?
Answer:
Step-by-step explanation:
16. Find the values of x and y. (2y + 5) (5x - 17) (3x – 11)º
Answer:
x = 26
y = 9
Step-by-step explanation:
(5x - 17)° + (3x - 11)° = 180° (angles in a straight line)
Solve for x
5x - 17 + 3x - 11 = 180
Collect like terms
5x + 3x - 17 - 11 = 180
8x - 28 = 180
Add 28 to both sides
8x = 180 + 28
8x = 208
Divide both sides by 8
x = 208/8
x = 26
Also:
(2y + 5)° + 90° + (3x - 11)° = 180° (angles on a straight line)
Plug in the value of x and solve for y
2y + 5 + 90 + 3(26) - 11 = 180
2y + 5 + 90 + 78 - 11 = 180
Collect like terms
2y + 162 = 180
Subtract 162 from both sides
2y = 180 - 162
2y = 18
y = 9 (dividing both sides by 2)
A 5” x 7” picture needs a frame whose width is the same on all four sides. If the frame’s perimeter is 28”, what should be the width (x) of the frame?
A) Half of an inch
B) Quarter of an inch
C) Two inches
D) One inch
Answer:
Half an inch
Step-by-step explanation:
Perimeter of the frame = 28 inches
Length fo the frame = 7 + x + x = (7 + 2x) inches
Width of the frame = 5 + x + x = (5 + 2x) inches
Perimeter of a rectangle is given as: 2(length) + 2(width)
Therefore:
28 = 2(7 + 2x) + 2(5 + 2x)
Solve for x
28 = 2*7 + 2*2x + 2*5 + 2*2x
28 = 14 + 4x + 10 + 4x
Collect like terms
28 = 14 + 10 + 4x + 4x
28 = 24 + 8x
Subtract 24 from both sides
28 - 24 = 24 + 8x - 24
4 = 8x
Divide both sides by 8
4/8 = 8x/8
½ = x
Width of the frame = x = ½ of an inch
If Beyoncé performed as many songs as
Robyn per capita, how many would you
expect Beyoncé to sing?
Answer:
20 songs
Step-by-step explanation:
Robyn sang a total of 13 songs for a population of 62000 people, the per capita is the ratio of the total songs sang to the total number of people. Hence:
Robyn per capita = songs performed / population = 13 / 62000
Beyonce sang to a population of 91000 people, given that Beyonce and Robyn had the same per capita, therefore:
Beyonce per capita = songs performed / population
13/62000 = songs performed / 91000
songs performed = 13/62000 × 91000 = 19.08
songs performed ≈ 20 songs
Beyonce is expected to sing about 20 songs
Answer:
Around 20
You can use the Distributive property-
To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
yall imma fail if you don't help me. what is the scientific notation for 0.12? I need answers asap
Answer:
1.2 x 10^-1
Step-by-step explanation:
So you are going to move the decimal to the right once, since it is where the first number is. Since you only moved the decimal once it is 10^-1. It is negative because you moved the the right. If you had moved the decimal to the left it would be positive.
A professional golfer is shopping for a new brand of golf ball. He likes most of the features of one particular brand, but he wants to make sure that the brand has a desirable spin rate (the rate at which the ball spins on its axis after being struck by a golf club). To test the spin rate of this new brand of ball, the golfer hits the brand of ball on 100 five-iron shots, and a computer measures the spin rate for each shot. The computer then produces the following histogram summarizing the 100 spin rates: 2520151050Frequency1010242421115000550060006500700075008000Spin rate (in revolutions per minute) Based on the histogram, find the proportion of spin rates in the sample that are greater than or equal to 7000 revolutions per minute. Write your answer as a decimal, and do not round your answer.
Please find full question attached
Answer:
6584.4595( to four decimal places)
Explanation:
Please find full explanation attached
what is b in this equation
b÷4+16=48
Answer:
b=128
Step-by-step explanation:
b÷4+16=48 isolate b
b÷4= 32
b= 128
Answer:
b=128
Step-by-step explanation:
rewrite
1/4b + 16 = 48
multiply both sides by 4
b + 64 = 192
move constant to the right and change he sign
b = 192-64
subtract
b = 128
Sabas dance class is 3 miles from her home
You are working to earn enough money for a vacation which costs 1200.0 dollars. Your take-home pay is $16.50/hour, but you only work 4-hour shifts each day. How many days will it take for you to earn enough money to pay for your vacation if all the money you earn goes towards your vacation
Answer:
It will take [tex]18\frac{2}{11} days[/tex] to earn enough money to pay for your vacation.
Step-by-step explanation:
From the question,
The total cost of the vacation is 1200.0 dollars, that is $1200.0
Also, you earn $16.50/hour but you only work for 4 hours each day.
First, we will determine how much you earn in a day.
If you work for 4 hours each day and earn $16.50 / hour; then the amount you earn in a day is
$16.50/hour × 4 hour
= $66.00
Hence, you earn $66.00 dollars each day.
Now, to determine the number of days it will take for you to earn enough money to pay for your vacation, that will be
The cost of the vacation divided by the amount earned each day
Cost of the vacation = $1200.0
Amount earned each day = $ 66.00
Hence, the number of days it will take for you to earn enough money to pay for your vacation is
$1200.0 / $66.00
= [tex]18\frac{2}{11} days[/tex] or 18.18 days
Hence, it will take [tex]18\frac{2}{11} days[/tex] to earn enough money to pay for your vacation.
x2 can be combined with X?
Answer:
Your first instinct might be to go ahead and add the x terms together, BUT this would be a bad thing to do! You cannot combine the x2 and 2x, because the first term has an exponent (2) and the second one does not have an exponent; therefore, you cannot add them together!
Step-by-step explanation:
Answer:
Not sure if you mean multiplying or adding by "combine". But generally the rule of thumb with exponents is when you are adding and they are not like terms, you cannot combine the two terms together. So in other words, they would be left as x²+x. However, when you are multiplying you can add the exponents together. So, it will be like this: x²·x = x³
Solve the equation t+ 25 =26
Answer:
t = 1
Step-by-step explanation:
t + 25 = 26
Subtract 25 from each side
t = 1
Find the midpoint of segment AB A(-7,6) B(4,-2)
Answer:4,05
Step-by-step explanation:
Mrs. Royal has 99 Royal Recognition awards to give out. Each class received 9 awards. How many classes received awards
Answer:
11
Step-by-step explanation:
you just divide it
Answer:
11
Step-by-step explanation:
I thought collage students could do simple division...
Lol