Answer:
a ratio is a comparison of two numbers or measurements
the objects being compared are called the terms of the ratio.
if the tow terms are different units this is called a rate.
example:
David covers 600 miles in 8 hours and John covers 380 miles in 5 hours. Who is driving faster ?
solution:
Distance covered by David in 1 hour is
= 600 / 8
= 75 miles per hour
Distance covered by John in 1 hour is
= 380 / 5
= 76 miles per hour
When we compare the above unit rates (Distance covered in 1 hour), John is driving faster than David.
We can use unit rates to solve pricing problems because we solve for price of one of that item.
For example, David bought 5 pounds of peanuts for $10, how much does it cost for one pound?
10 / 5 = $2 per pound
The $2 is the unit rate and we use to find if David buys more then 10 pounds.
Best of Luck!
Heather received grades of 80, 75, and 86 on 3
math 1 tests. What is lowest grade she can
receive on the next test if she wants her average
for the four test to be at least an 82?
Define your variable
Answer:
87
Step-by-step explanation:
We know Heather recieved grades of 80, 75 and 86.
Let's find her average on those 3 tests.
80 + 75 + 86 = 241 Since there are 3 tests we divide by 3.
241/3 = 80.3333 Is her aveerage on the first 3 tests.
She need to average 82 so we can write an equation with t being the score on her 4th test.
[tex]\frac{80 + 75 + 86 + t}{4} = 82[/tex]
[tex]\frac{241 + t}{4} = 82[/tex] Multiply each side by 4
([tex]\frac{241+t}{4}[/tex]) * 4 = 82 * 4 4 on the left will cancel
241 + t = 328 Subtract 241 from each side
241 - 241 + t = 328 - 241
t = 328 - 241
t = 87
Heather must get an 87 to have an average score of 82.
7n - 2 + 2n > 4n – 2(n+ 1)
Pls help again
10 Points
Please help
Answer:
Step-by-step explanation:
Multiply 82 and 0.6 and subtract 85
Answer:
5 hours
Step-by-step explanation:
Given: the water temperature at the beach started at 82 degrees and it is rising 0.6 degrees each hour
To Find: If the water temperature is now 85 degrees write and solve an equation to find h, the number of hours that have passed
Solution: Current water temperature at beach= 82 degree
temperature rising rate degrees per hour= 0.6 degrees
let be the hours passed.
water temperature at the beach after hour h be
=82+0.6h
FIND THE MIDPOINT BETWEEN (6,2) AND (-1,0)
O 6
O (6,4)
O (2.5,1)
O (2,1)
Answer:
Step-by-step explanation:
(6-1)/2= 5/2= 2.5
(2-0)/2= 2/2= 1
(2.5, 1)
answer is C
A square field has 3844 m² of land what is the width of the field?
a = one side of a square
The area of a square = a^2
In our problem,
Area = 3844 m^2
a = ?
Let's plug our values into the area equation.
3844 m^2 = a^2
Take the square root of both sides
62 m = a
The width of the field is 62 meters
y^2+11y+18=0
solve using quadratic formula
help!!
Answer:
y = -2, -9
Step-by-step explanation:
Hope this helps!
Joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are going on the trip, so they need at least 505050 total rooms. Joe had already reserved and paid for 161616 rooms, so he needs to reserve additional rooms. He can only reserve rooms in blocks, and each block contains 888 rooms and costs \$900$900dollar sign, 900. Let BBB represent the number of additional blocks that Joe reserves.
Answer:
$4500
Step-by-step explanation:
Strategy
Joe needs the rooms he's already reserved plus the additional rooms to be at least 505050. We can represent this with an inequality whose structure looks something like this:
\left( \text{rooms already reserved} \right) + \left( \text{additional rooms} \right) [\leq \text{or} \geq] \,50(rooms already reserved)+(additional rooms)[≤or≥]50left parenthesis, start text, r, o, o, m, s, space, a, l, r, e, a, d, y, space, r, e, s, e, r, v, e, d, end text, right parenthesis, plus, left parenthesis, start text, a, d, d, i, t, i, o, n, a, l, space, r, o, o, m, s, end text, right parenthesis, open bracket, is less than or equal to, start text, o, r, end text, is greater than or equal to, close bracket, 50
Then, we can solve the inequality for BBB to find how many additional blocks Joe needs to reserve.
Hint #22 / 4
1) Which inequality?
Joe has already reserved and paid for \blueD{16}16start color #11accd, 16, end color #11accd rooms.
Each blocks has 888 rooms, and BBB represents the number of additional blocks, so the number of additional rooms from these blocks is \greenD{8B}8Bstart color #1fab54, 8, B, end color #1fab54.
The number of rooms he's already reserved plus the additional rooms needs to be \maroonD{\text{greater than or equal to }} 50greater than or equal to 50start color #ca337c, start text, g, r, e, a, t, e, r, space, t, h, a, n, space, o, r, space, e, q, u, a, l, space, t, o, space, end text, end color #ca337c, 50 rooms.
\begin{aligned} \left( \blueD{\text{rooms already reserved}} \right) &+ \left( \greenD{\text{additional rooms}} \right) [\leq \text{or} \geq] \,50 \\\\ \blueD{16}&+\greenD{8B} \maroonD{\geq} 50 \end{aligned}
(rooms already reserved)
16
+(additional rooms)[≤or≥]50
+8B≥50
Hint #33 / 4
2) How many additional blocks does Joe need?
Let's solve our inequality for BBB:
16+8B
8B
B
≥50
≥34
≥4.25
Subtract 16
Divide by 8
Since he can't reserve partial blocks, Joe needs to reserve 555 additional blocks. And each block costs \$900$900dollar sign, 900, so buying 555 additional blocks costs 5 \cdot \$900=\$45005⋅$900=$45005, dot, dollar sign, 900, equals, dollar sign, 4500.
[Let's check our solution]
Hint #44 / 4
Answers
1) The inequality that describes this scenario is
16+8B \geq 5016+8B≥5016, plus, 8, B, is greater than or equal to, 50
2) Joe needs to spend \$4500$4500dollar sign, $4500 on additional rooms.
1. Find the equation of a line that passes through the point (4,1) and is perpendicular to the
line that contains the points (3,-7) and (-1,9).
Answer:
x - 4y = 0 . . . in standard form
y = (1/4)x . . . in slope-intercept form
Step-by-step explanation:
The slope of the given line is ...
m = (y2 -y1)/(x2 -x1) = (9 -(-7))/(-1 -3) = 16/-4 = -4
The slope of the perpendicular line is the negative reciprocal of this:
desired slope = -1/m = -1/-4 = 1/4
This can be used in the point-slope form of the equation of a line:
y -h = m(x -k) . . . . . line with slope m through point (h, k)
Your perpendicular line has a slope of 1/4 and goes through point (4, 1), so its equation can be written as ...
y -1 = (1/4)(x -4)
y = (1/4)x -1 +1
y = (1/4)x
In standard form, this is ...
4y = x
x -4y = 0
Suppose n represents the number of seconds Gregory has been running. Write an expression (in terms of n ) to represent how long Chance has been running (in seconds).
Answer:
not enough info
Step-by-step explanation:
0.75x + 3 = 0.25x + 5.25
Answer:
x=4.5
Step-by-step explanation:
hope that is the answer you're looking for :)
Answer:
x = 4.5
Step-by-step explanation:
1.
.75x - .25x = 5.25 - 3
.5x = 2.25
Multiply 2.25 x 2
x = 4.5
6m-6=9m+15 (Show work)
Answer:
Step-by-step explanation:
1. Subtract 9m from both sides.
6m-6-9m=9m+15-9m
-3m-6=15
2. Add 6 to both sides
-3m-6+6=15+6
-3m=21
3. Divide both sides by -3
-3m/3=21/-3
m= -7
The table below shows all of the possible outcomes for rolling two six-sided number cubes.
Second Number Cube
2 3 4 5 6
1
1
2.
3
Cube
First Number
1.1 1.2 1.3 1.4 1.5 1.6
2.1 2.2 2.3 2.4 2.5 2.6
3.1 3.2 3.3 3.4 3.5 3.6
4.1 4.2 4.3 4.4 4.5 4.6
5.1 5.2 5.3 5.4 5.5 5.6
6.1 6.2 6.3 6.4 6.5 6.6
4
5
6
How many possible outcomes are there?
6
12
Answer: 36
Step-by-step explanation:
Round the decimal below to the nearest thousandth. 520.4681
Answer:
520.468
Step-by-step explanation:
round up to the thousandths place :)
Answer:
Step-by-step explanation:
520.468
What is 1/3 of a dollar?
a 0,033 cents
b. 0.33 cents
0, 0.067 cents
d. 0.67 cents
Hello! Im stuck on this math question. The two triangles displayed are scaled copies of one another. the first question is "What is the scale factor?" the second question is "what is the value of x? "
Answer:
scale factor = 2.5
x = 10
Step-by-step explanation:
to find the scale factor, divide 10 by 4.
use the answer and divide it by 25 :)
________
10÷4=2.5
25÷2.5=10
The scale factor is 2.5 and the value of x will be 10.
What is a scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making. The scale factor is the ratio of the scaled size to the original size.
Given that one triangle has the sides x and 4 and another has 25 and 10.
The scale factor will be calculated as below:-
Scale factor = 10 / 4
Scale factor = 2.5
Use the answer and divide it by 25. The value of x will be calculated as below:-
x = 25÷2.5
x = 10
Therefore, the scale factor is 2.5 and the value of x will be 10.
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2.3y + 4.4y - 3.7= 16.4
Answer:
y= 1.8955223
Step-by-step explanation:
Which statement is true about the polynomial 3x2y2 − 5xy2 − 3x2y2 + 2x2 after it has been fully simplified?
A. It has 2 terms and a degree of 2.
B. It has 2 terms and a degree of 3.
C. It has 4 terms and a degree of 2.
D. It has 4 terms and a degree of 4.
Answer:
B:It has 2 terms and a degree of 3
Step-by-step explanation:
Hope this helps!
The polynomial 3x²y² − 5xy² − 3x²y² + 2 x 2 after fully simplified has 2 terms and a degree of 2, so option A is correct.
What is polynomial?A polynomial is a mathematical expression that solely uses the operations of addition, subtraction, multiplication, and positive-integer powers of variables. It is made up of indeterminate (also known as variables) and coefficients.
Given:
3x²y² − 5xy² − 3x²y² + 2 x 2
Simplify the above expression,
3x²y² − 5xy² − 3x²y² + 2 x 2 = -55xy² + 4
As you can see from the expression, it has the two-term and highest degree of 2
Therefore, the polynomial 3x²y² − 5xy² − 3x²y² + 2 x 2 after fully simplified has 2 terms and a degree of 2.
To know more about polynomials:
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-1.9(3.3)(7) some help me out on this plz
the answer is -43.89
Answer:
-19.57
Step-by-step explanation:
you can also write this equation like this (3.3 x -1.9) (7 x -1.9)
(3.3 x -1.9)= -6.27
(7 x -1.9)= -13.3
now u subtract them
-6.27-13.3 = -19.57
ANSWER FAST PLEASE
A number x increased by 11 is 122.
Answer:
Equation: x + 11 = 122
Answer: x = 111
Step-by-step explanation:
Write it out: x + 11 = 122Subtract 11 from each side, so it now looks like this: x = 111I hope this helps!
what is 5/8-1 7/8.
Answer:
-10/8
Step-by-step explanation:
1 and 7/8 = 15/8
5/8 - 15/8= -10/8
19p-6(4p-8)=7(p-12)
Pls help am confused
Answer:
p=11
Step-by-step explanation:
What is (25 x 10) / 2 + 15
Answer:
140
Step-by-step explanation:
25x10 = 250
250/2 = 125
125+15 = 140
Hey there!
25 * 10) / 2 + 15
= 250 / 2 + 15
= 125 + 15
= 140
Therefore, your answer is: 140
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
On a number line, C is at -6 and Dis at 24. What is the coordinate of F Which is
3
the way from C to D?
The Point F is at 10.
We have on a number line -
C → at → -6
D → at → 24
We have to determine the coordinates of F which is [tex]$\frac{1}{3}[/tex] of the way from C to D.
What is Number line ?A Number line can be defined as a straight line with numbers placed at equal intervals or segments along its length.
According to the question, we have -
C → at → -6
D → at → 24
Total distance between C to D = |24| + |- 6| = 24 + 6 = 30
The coordinates of point F will be -
[tex]$\frac{1}{3} \times 30 = 10[/tex]
Hence, the Point F is at 10.
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Explain how to use a number line to show that opposite quantities combine to make zero.
did I do this correctly??
Yes your answer is correct.
Yes, you did it correctly.
We have two opposite quantities.
We have to show that opposite quantities combine to make zero.
What is a Vector quantity ? What are equal and opposite Vectors?Any quantity with both magnitude and direction is called vector quantity.
Two vectors are said to be equal and opposite if they have same magnitude and angle of 180 degrees between them.
According to the question -
Assume a number line and mark a number say 'x' after 0 and a number
'-x' before zero. These two numbers represent the quantities with same magnitude. And it can be easily seen that the angle between line from center point 'O' to 'x' and the line from 'O' to '- x' is 180 degrees. Hence, these two equal and opposite quantities which will give a resultant value of = + x + (- x) = + x - x = 0
And you also did it correctly ( You have taken 5 and -5).
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PLEASE HELP WILL MAKE BRAINLIEST!! Quantities X and Y are proportional find the constant of proportionality (r) in the equation y = rx
The club supplies 40 new balls for each player which cost $1 each. Each player pays $300 for the lessons. The club must pay each instructor $1,000 for conducting the lessons, and there must be at least 1 instructor for every 6 players. Which amount of players and instructors meets these requirements and still gives the club a net profit?
Answer:
4 players and 1 instructor
Step-by-step explanation:
If all 4 players pay $300 each, that equals $1,200. The instructor will get $1,000 of it. That means there is $200 left. They need 40 balls per player. Each ball is $1, so that's $40 per player. 40 x 4= 160 200-160 = 40 The club will have $40 left.
A new Outdoor Recreation Center is being built in Erie. The perimeter of the rectangular playing field is 432 yards. The length of the field is 4 yards less than triple the width. What are the dimensions of the playing field?
Answer
578
Step-by-step explanation:
10a + a how dis work???
Answer:
12
Step-by-step explanation:
because you sum A+A=2 because A is the first letter of the alphabet. then you add the 10
2
Mrs. Sanchez asked her students to
classify the following value as rational or
irrational:
0.62581
Ryan thinks the value is irrational because
the decimal does not have a pattern.
Do you agree with Ryan? Why or why not?
Answer:
The answer is that it is a rational number because it is a terminating decimal
Step-by-step explanation:
0.62581 is a rational number.
What are rational numbers and irrational numbers?
Rational numbers are numbers that can be written as the ratio of two integers. For example: 1/2, 3/4, are rational numbers.
Irrational numbers, any real number that cannot be expressed as the quotient of two integers—that is, p/q, where p and q are both integers. For example, there is no number among integers and fractions that equals Square root of√2.
Now the given number is,
0.62581
Now here we see that the numbers after decimal are terminating and non-repeating.
Also the digit after decimal stops.
Hence the number 0.62581 is rational.
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At the end of a snowstorm, Ethan had 11 inches of snow on his lawn. The temperature then increased and the snow began to melt at a constant rate of 1 inch per hour. Assuming no more snow was falling, how much snow would Ethan have on his lawn 2 hours after the snow began to melt? How much snow would Ethan have on his lawn after tt hours of snow melting?
Answer:
9 inches
Step-by-step explanation:
if its a constant rate of 1 inch melted per hour, than 2 inches would have melted
