Answer:
let the number be x
then
(x-8): (x+28) = 2:5
on solving
5x-40= 2x+56
3x = 96
x = 32
Step-by-step explanation:
Which statements are true about the ordered pair (10, 5) and the system of equations?
{ 2x−5y=−5
{ x+2y=11
Select each correct answer.
The ordered pair (10, 5) is a solution to the first equation because it makes the first equation true.
The ordered pair (10, 5) is a solution to the second equation because it makes the second equation true.
The ordered pair (10, 5) is not a solution to the system because it makes at least one of the equations false.
The ordered pair (10, 5) is a solution to the system because it makes both equations true.
Answer:
the solution to the system is (5,3)
Step-by-step explanation:
the first statement is True: 2(10) - 5(5) = -5
20 - 25 = -5
-5 = -5
the second statement if False: 10 + 2(5) ≠ 11
the third statement is True
the last statement is False
A circle has a diameter of 32 m. What is its circumference?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
[tex]C=32(3.14)=100.48\text{ meters}[/tex]
Step-by-step explanation:
We know that the circle has a diameter of 32 meters.
And we want to find its circumference.
The circumference of a circle is given by the formula:
[tex]C=\pi d[/tex]
Where d is the diameter.
So, we will substitute 32 for d and we will use 3.14 for π. Hence, our circumference will be:
[tex]C=32(3.14)=100.48\text{ meters}[/tex]
Answer:
100.48 m
Step-by-step explanation:
C=2(3.14)r
C=2(3.14)(16)
C= 100.48 m
Please help I got to get this done to move on in math (my teacher wont unlock anything till i get this done i have till tomorrow)
Step-by-step explanation:
please see it my steps to work this problem
==============================================
Explanation:
The multiplicative inverse of x is 1/x, and vice versa. This is true as long as x is not 0.
The multiplicative inverse of 1/5 is 5. These two values multiply to 1. This is true of any multiplicative inverse pairing.
----------
What we need to do is multiply 5 with (2x-1/5)
Use the distributive property to get the following
5*(2x-1/5)
5*(2x) - 5*(1/5)
10x - 5/5
10x - 1
I multiplied the outer 5 by each term inside (the 2x and 1/5) and simplified.
Someone please help I’m going to fail my class
It okay talk a deep breath and focus relax.
Have a great day and don't worry:)
If you ride your bicycle at 22 miles per hour, how many miles could
you travel from 7:00 a.m. to 9:30 a.m. if you do not take a break?
Answer:
About 4-5 miles at the most i rode a bike before to a store and it took me an hour to go there and get back so.... Ya i would say about 4-5 miles
Step-by-step explanation:
Because 22mph is pretty slow. And i was going faster then 22mph when i was on my bike.
Answer:
55 miles
Step-by-step explanation:
Subtract 9:30 & 7:00, it will give you 2.3...meaning 2.5 hours. If you are traveling 22 miles an hour for 2 hours & 30 minutes you will get 55 miles total. 22 + 22 + 11 = 55.
Kris's bike used up 4.5 gallons of gas to cover a distance of 297 miles.Jack travels 366 miles on a full tank capacity of 6 gallons.Ben's bike consumed 5.2 gallons of gas for a 265.2 miles long drive. Whose bike gave the best mileage
Answer:
Ben's bike gave the best mileage.
Step-by-step explanation:
Kris's bike mileage = 297 / 4.5
Kris's bike mileage = 66 mile/gallon
Jack's bike mileage = 366 / 6
Jack's bike mileage = 61 mile/gallon
Ben's bike mileage = 265.2 / 5.2
Ben's bike mileage = 51 mile/gallon
Ben's bike gave the best mileage
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.
Answer:
y = -2/3x + 300
Step-by-step explanation:
Since the line is linear, we can find the equation of the line in y=mx+b form.
First, you have to find the slope using the slope formula. Pick two points from the graph and plug it into the equation. It doesn't matter which ones; you will get the right answer regardless. I picked the points (0, 300) and (450, 0).
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\m=\frac{300 -0 }{0 -450 }\\m=\frac{300}{-450} \\m=-\frac{2}{3}[/tex]
You now have slope (m). You have to find the y-intercept (b) next. The y-intercept is the point where the line crosses the y-axis. For this graph, the line crosses the y-axis at (0, 300), making the y-intercept 300.
Since you have m and b, you can plug the values into y=mx+b.
y = mx + b
y = -2/3x + 300
a girl paid 6.28 for 3/4 pound of shrimp. what was the unit price in dollars per pound?
Divide the amount spent by the weight:
6.28 / 3/4 = 8.37
Unit price is $8.37 per pound
You are running an experiment in class where you draw colored marbles out of a bag. There are
eight marbles in the bag, you will draw five times, and you will replace the marble each time. How many ways can you draw the marbles out of the bag?
A: 40
B: 3,360
C: 4,096
D: 32,768
Answer:
32768 ways
Step-by-step explanation:
Given
Marbles = 8 marbles
Selection = 5 (with replacement)
Required
Determine the number of ways
Because it is a selection with replacement; each selection is as follows:
[tex]First = 8\ marbles[/tex]
[tex]Second = 8\ marbles[/tex]
[tex]Third= 8\ marbles[/tex]
[tex]Fourth = 8\ marbles[/tex]
[tex]Fifth = 8\ marbles[/tex]
Total number of ways is then calculated as:
[tex]Total = 8 * 8 * 8 * 8 * 8[/tex]
[tex]Total = 32768[/tex]
Simplify. Rewrite the expression in the form 9^n.
{9^7}{9^5}
=
105 min
game
?hr.
game
Help please
Answer:
105 minutes= 1 hour and 45 minutes
Answer:
1 hour and 45 minutes
or
1.75 hours
Solve for x.
(x + 13) ft
24 ft
Answer:
x = 9.
Step-by-step explanation:
If you meant (x + 13) = 24, then we first must subtract 24 by 13.
24 - 13 = 9
Now, check your work by replacing the "x" with 9.
(9+ 13) = 24
24 = 24 <----- This is a true statement.
Therefore, x = 9.
Hope this helps! :D
What is the result of the subtraction?
46 – 19=
O 23
0 27
033
0 37
Answer:
27
Step-by-step explanation:
When we take 46 and subract 19 from it, we get 27.
For verification add 27 with 19
The answer is 46
Answer:
27
Break 19 into 10 and 9. 46-10 = 36. 36-9=27.
I need to show my work for 6a = 36
Answer:
6a =36
a = 36/6
a = 6
that is the answer
pls mark brainiest
Step-by-step explanation:
Answer:
a=6^2
Step-by-step explanation:
So you would just show your anserw because 6 to the 2 power would actually be 6 times 6 and that would equal 36 if that makes sense :)
14.)A baseball team play 34 games in their season. If they won 55% of the
games they played how many did they win
Two step problem: Aaron can type 40 words per minute. Jessica can type 55 words per minute. If Aaron and Jessica each type for 30 minutes, how many more words will Jessica type than Aaron?
Answer:
Step-by-step explanation:
Aaron types 40 wpm times 30 minutes = 1200 wpm.
Jessica types 55 wpm times 30 minutes = 1650 wpm.
Jessica’s types 450 more words per minute than Aaron.
A= 450 more than Aaron
Coca Cola is offering prizes under the caps of their sodas. Coca Cola claims that “one in six game pieces wins a prize.” The official rules of the contest states that the odds of winning a prize are 1:6. Is the claim “one in six game pieces wins a prize” correct? Why or why not?
Answer:
correct because one in six game pieces win a prize.
Step-by-step explanation:
What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where $a$ and $b$ are integers?
hahahahahahahahahahaha
srsly tho
is this still a problem you have? if so ill solve it.
express the scientific notation:4830000000 with all formula
Answer:
4.83 * 10^9
Step-by-step explanation:
Here, we want to express the given number in scientific notation
What we have to do here is to place the decimal number at the back of the first non zero number
The first non zero number is 4
So
let us count the number of digits after the first non zero number
That will be 9
So we make this the power of 10
And our answer will be;
4.83 *10^9
Please help!!!! I don’t get it
Answer:
x = 9
m<b = 54
m<e = 54
Step-by-step explanation:
Match the reasons with the statements.
GIVEN: x2 + 6x + 2x + 12 = 0
TO PROVE: x = -6 or x = -2
1. x2 + 6x + 2x + 12 = 0 Combining like terms
2. x2 + 8x + 12 = 0 Distributive Postulate
3. (x + 6)(x + 2) = 0 Zero product postulate
4. x + 6 = 0 or x + 2 = 0 Subtraction property of equality
5. x = -6 or x = -2 Given
I WILL REPORT U IF U DONT ANSWER CORRECTLY AND FULLY!!!!
Answer:
Concept: Mathematical Derivation
We are given x^2 +6x+2x+12 Hence we simplify: x^2 + 8x +12 Now we factor: (x+2)(x+6) By mathematical logic we now proved that the roots are x=-2 and x=-6 Give brainlist and rate positivelyEvaluate the following expression when n = 6.
|n - 6| - |5 - n|
Answer:
-1
Step-by-step explanation:
1. Substitute n with 6 because n=6
2. Then you simply solve both sides so (6-6)-(5-6) because n=6
3.so then you get the absolute value of 0 subtracted by the absolute values of -1
4. So because all absolute values change it to positive you get 0-1 instead of 0- - 1
5. So the final answer is -1
Sorry if this was confusing, I’m really bad at explaining. :)
Answer:
|n-6|-|5-n|
=|6-6|-|5-6|
=|0|-|-1|
=0-1
=-1
Choose the graph that matches the system of inequalities.
–x + y ≤ –1
x + 2y ≥ 4
Answer:
The correct
answer is B
The correct option is B)
What is a feasible region?A feasible region satisfies all the inequalities of a linear programming problem. It is based on the technique of optimization.
Given here the inequalities as –x + y ≤ –1
x + 2y ≥ 4
The graph plotting the two equations is plotted in the attached file
Hence from the given graph option B is the correct option.
Learn more about feasible regions here:
https://brainly.com/question/29314086
#SPJ2
Find the area of the irregular shape !!!
Step-by-step explanation:
Area of triangle = base × height ×½
triangle = 9×8×½=36cm²
rectangle = length×width
rectangle = 15×26=390cm²
area of irregular fig= 390+36 =426cm²
The Blue whale presently the largest mammal is about to 2.27 times more than the largest dinosaur. Blue whales weigh about 1.362 x 10 to the fifth power kilograms. Using scientific notation, about how much did the largest dinosaur weigh?
Answer: 60,004.41 kilograms
Step-by-step explanation:
Given: Weight of Blue whales = [tex]1.362 \times 10^5[/tex] kilograms
= [tex]1.3621\times 100000=136210[/tex]
Weight of blue whale = 2.27 x (weight of largest dinosaur )
[tex]136210=2.27\times \text{(weight of largest dinosaur)}\\\\\Rightarrow\ \text{(weight of largest dinosaur)} =\dfrac{136210}{2.27}\\\\\Rightarrow\ \text{(weight of largest dinosaur)}=60004.41[/tex]
Hence, The weight of largest dinosaur = 60,004.41 kilograms
Error Analysis
On a math test a student, Jake, has to identify all the coefficients and constants of
the expression 7b+ m + 8. Jake says that 7 is a coefficient and 8 is a constant. Identify all the
coefficients and constants of the expression. What error might Jake have made?
The coefficient(s) of the expression is are __
Use a comma to separate answers as needed.)
The constant(s) of the expression is/are __
(Use a comma to separate answers as needed.)
What error might Jake have made?
A. Jake said 7 is a coefficient. It is actually a constant.
OB. Jake said 8 is a constant. It is actually a coefficient.
OC. Jake did not include the constant 1.
OD. Jake did not include the coefficient 1.
Click to select your answer's).
The coefficient(s) of the expression is/are 7, 1
Use a comma to separate answers as needed.)
The constant(s) of the expression is/are 8
(Use a comma to separate answers as needed.)
What error might Jake have made?
OD. Jake did not include the coefficient 1.
Click to select your answer's
Calculate the average time it took the car to travel 0.25 and 0.50 meters with two washers attached to the pulley. Record the averages, to two decimal places, in Table C of your Student Guide.
What is the average time it took the car to travel 0.25 meters?
seconds
What is the average time it took the car to travel 0.50 meters?
seconds
Answer:
1.92 second at 0.25 meters.
2.61 second at 0.50 meters.
Step-by-step explanation:
the average 2 washers on time travel of:
0.25 m : 1.94 / 1.95 / 1.87 = 1.92 second
0.50 m: 2.69 / 2.72 / 2.42 = 2.61 second
In this exercise we have to calculate the time that a car makes in a certain distance, in this way we find that:
A) In 0.25 meters in 1.92 second.
B) In 0.50 meters in 2.61 seconds.
We know that some information is given in the statement as:
In 0.25 meters the car speeds are: 1.94/ 1.95/ 1.87In 0.50 meters the car speeds are: 2.69 / 2.72 / 2.42Knowing that the formula for calculating time is given by:
[tex]Time= Distance/Speed[/tex]
So we have:
A) [tex](1.94 +1.95 + 1.87)/3= 5.76\\0.25/5.76=1.92 s[/tex]
B) [tex]2.69+ 2.72 + 2.42= 7,83\\0.50/7,83=2,61[/tex]
See more about time at brainly.com/question/2570752
Which expression represents the completely factored form of 2x3 + x2 - 8x - 4?
a (x2 - 4)(2x + 1)
6 (x - 2)2(2x - 1)
0 (x - 2)(x + 2)(2x - 1)
d (x-2)(x + 2)(2x + 1)
Answer:
D
Step-by-step explanation:
D is also equivalent
find the median for each set of data 4,12,7,6,10,5,11,8
Answer:
7.5
Step-by-step explanation:
The median is the middle data in a set. To find the median first order the set for least to greatest. In this case, 4,5,6,7,8,10,11,12. Then find the number in the middle, however, because there is an odd number of data you must take the mean of the two middle numbers. The two numbers in the middle are 7 and 8, so to find the mean of these numbers add them then divide by the number of terms, aka 2. (7+8)/2=7.5, therefore the median must be 7.5.
Ben can type 2/5 of a page of an essay in 1/2 minute. How much time would
take him to type one full page of the essay?
Answer:
ok so first i want to figure out what 2/5 converted to percent is......
you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4
so this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so lets see,
40% + 40% = 80%
so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time does it take to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15
So if we add all these numbers up it equals 1:15 minutes to write an essay
I hope this helps and please mark brainliest if i got it right!
The time taken by Ben to write a full page will be 1:15 minutes.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4
So this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so let's see,
40% + 40% = 80%
so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time it takes to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15
Therefore, the time takes Ben to write a full page will be 1:15 minutes.
To know more about an expression follow
https://brainly.com/question/14813498
#SPJ2