Answer: 7.5 E 0
This is the same as saying 7.5 * 10^0
Both of these values convert to the number 7.5; meaning that the population of the US is about 7.5 times greater than the population of CA.
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Work Shown:
40,000,000 = 40 million
40,000,000 = 4.0 * 10^7
Note how we move the decimal 7 spots to the right to go from 4.0 to 40,000,000
so the 7 in 10^7 tells us how many spots to move the decimal point in the base number 4.0
The number 4.0*10^7 can be condensed to 4E7. The "E" represents "times 10 to the"
As another example, "3E8" means "3 times 10 to the 8th power" which becomes 3.0*10^8 = 300,000,000 = 300 million
--------------------------
We have these two facts
x = Population of CA = 4 E 7 = 4*10^7y = Population of US = 3 E 8 = 3*10^8We'll divide the two populations to get
y/x = (3E8)/(4E7)
y/x = (3*10^8)/(4*10^7)
y/x = (3/4)*10^(8-7)
y/x = 0.75*10^1
y/x = 7.5
We can see that the population of the US is roughly 7.5 times greater compared to the population of CA.
Convert 7.5 to scientific notation, and we get
7.5 = 7.5*1 = 7.5 * 10^0 = 7.5 E 0
Keep in mind that these are population estimates, and populations change over time.
Which is an equation of the line parallel to y = 2x + 7 and passes through (-1, 3)?
Answer:
The equation of line parallel to y = 2x + 7 and passes through (-1, 3) is: [tex]y = 2x+5[/tex]
Step-by-step explanation:
Given equation of line is:
y = 2x + 7
The general form of equation in slope-intercept form is:
[tex]y=mx+b[/tex]
Here m is the slope and b is the y-intercept
Comparing the equations, we get
m = 2
Let m_1 be the slope of line parallel to given line
[tex]m_1 = m\\m_1 = 2[/tex]
The equation of line parallel to given line will be:
[tex]y=m_1x+b[/tex]
Putting the value of slope
[tex]y = 2x+b[/tex]
To find the y-intercept, putting (-1,3) in the equation
[tex]3 = 2(-1)+b\\3 = -2+b\\3+2 = b\\b = 5[/tex]
The equation is:
[tex]y = 2x+5[/tex]
Hence,
The equation of line parallel to y = 2x + 7 and passes through (-1, 3) is: [tex]y = 2x+5[/tex]
A triangle has sides measuring 31inches, 18 inches,
and 25 inches. What is the perimeter of the
triangle?
a. 74 inches
c. 68 inches
b. 80 inches
d. 87 inches
Answer:
A) 74 inches
Step-by-step explanation:
31 + 18 + 25 = 74 inches total.
Therefore,
74 inches in the perimeter of the triangle.
2] The band has a ratio of boys to girls of 5 to 4. There are 52 girls in the band.
(Make sure to write out in words first.)
How many are boys?
How many total students?
I need work for both
Answer:
Step-by-step explanation:
For every 4 boys there are 5 girls and 9 students at the school. So that means that 49 of the students are boys. 49 of the total number of students is 120 students:
49×?=120
If 49 the number of students is 120, then 14 of 120 is 19 of the total number of students. In other words, 14×120=30 is 19 the total number of students. Then 9 times this amount will give the total number of students:
9×30=270
So there is a total of 270 students at the school. Note that this is equivalent to finding the answer to the division problem:
120÷49=?
We can see all of this very succinctly by using a tape diagram:
Bar_diagram_67722d3e6005449e4fbe5c57eaad4f3c
There are 4 units of boys and 9 units of students. Therefore 4/9 of the students are boys.
4 units = 120
1 unit = 30
9 units = 270
There are 270 students altogether.
Students can multiply the numbers in the first row by 10 to get the second row, and then double that amount to get the third row. Adding the entries in the second and third row gives the fourth row that has the solution.
Alternatively, since 120÷4=30, students can just multiply the numbers in the first row by 30 to get the values in the fourth row.
In every row, we can see that the fraction of the students that are boys is 49.
looking at the last row, we can see that the total number of students will be 4×30+5×30=120+150=270.
A worker in a silver mine descends 70 feet. Use an integer to represent the change in the worker's position.
Answer:
-70
Step-by-step explanation:
Answer:
i guess it would be -70 if its descending
Step-by-step explanation:
The value x = 42 is a solution to the equation 7 = x/6
Answer:
Yes
Step-by-step explanation:
The value x = 42 is a solution to the equation 7 = x/6.
Answer:
whats your question i dont get it
Step-by-step explanation:
so then 7=42/6 which is 7=7 so True or Yes
A local hamburger shop sold a combined total of 567 hamburgers and cheeseburgers on Sunday. There were 67 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?
Answer:
250 hamburgers were sold on Sunday
Step-by-step explanation:
Let h be the number of hamburgers and c be the number of cheese burgers, then according to given statements, the equations will be:
[tex]h+c = 567\ \ \ \ Eqn\ 1\\c = h+67\ \ \ Eqn\ 2[/tex]
We can use the substitution method to solve the given system of equations.
Putting c= h+67 in equation 1
[tex]h+h+67 = 567\\2h+67 = 567\\2h = 567-67\\2h = 500\\\frac{2h}{2} = \frac{500}{2}\\h = 250[/tex]
Putting h=250 in equation 2
[tex]c = 250+67 = 317[/tex]
Hence,
250 hamburgers were sold on Sunday
y is directly proportional to the square of x.
When x is 5, y is 175.
Find the value of y when xis 11.
Answer:
The value of y is 847 for x=11
Step-by-step explanation:
It is given that y is directly proportional to the square of x
This can be written mathematically as:
[tex]y \propto x^2[/tex]
Removing the proportionality symbol introduces a proportionality constant in the equation which is denoted by k
[tex]y = kx^2[/tex]
Given that "When x is 5, y is 175"
[tex]175 = k (5)^2\\175 = k*25\\k = \frac{175}{25}\\k = 7[/tex]
Putting the value of k
[tex]y = 7x^2[/tex]
Now putting x = 11
[tex]y = 7(11)^2\\y = 7 * 121\\y = 847[/tex]
Hence,
The value of y is 847 for x=11
Two of the angles in a triangle measure 51° and 25°. What must be the measure of the third angle?
Answer:
The third angle must be 104
Step-by-step explanation:
The last angle is found by adding 51 and 25 and the subtracting it from 180
Answer:
104°
Step-by-step explanation:
According to angle sum property of a triangle , sum of all the angles of triangle is equal to 180°.
So, let the third angle be 'x'. According to angle sum property of triangle ,
[tex]x + 25 + 51 = 180[/tex]
[tex] = > x + 76 = 180[/tex]
[tex] = > x = 180 - 76 = 104[/tex]
please help me with this i will really appreciate it
Answer:
Fellow Spongebob I can help. The answer is 3$.
Step-by-step explanation:
3 books for 6 dollars is just 3 x 6. That equals 18. add 3$ to that to get 21! Hope this helps!
ASAP GIve Brainly
POSSIB
Using the diagram below, calculate the value of y.
1059
О 45°
Not possible
С 75°
105
Answer:
75 degrees
Step-by-step explanation:
180-105 =75
by the transitive property, that is y
braniliest?
Can someone please help. The question is in the picture. thank you.
Answer:
c:2 and 3
Step-by-step explanation:
they are the same shape, but in different positions. hope that helps.
what is 50% of 58
What is 20% of 10
what is 15% of 5
Answer:
29
2
.75
Step-by-step explanation:
PLEASE Give Everything
I would love some help with this...
Graph
y−2=2/3(x+4)
24x + 15
find the value of x
Answer:
x=-0.625
Step-by-step explanation:
24x+15=0
-15 -15
24x=-15
x=-0.625
Help me out please please
Answer:
4320
Step-by-step explanation:
multiply 6% by 18(One year/12 months + Half of a year/6) you will get 1.08. Then take that and multiply that by 4000. You should get 4320
Jaleesa bought 2 notebooks for $8.75 each and 1 textbook for $74.95. If the sales tax was 7%, what was the total cost of Jaleesa’s purchases?
Answer:
89.559
Step-by-step explanation:
what is equivalent to 9c - 12 - 15c - 8 - 3c?
Answer:
-9c-20
Step-by-step explanation:
Simplify the equation by adding/subtracting the like terms (c and numbers)
The expression 9c - 12- 15c - 8 - 3c is equivalent to -9c - 20.
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations,
The given expression is,
9c - 12- 15c - 8 - 3c.
Solve the expression for terms c,
9c - 12 - 18c - 8
-9c - 12 -8
Further, solve for constant terms,
-9c - 20
The simplified form of the expression is -9c - 20.
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A salesperson earns $8 per hour plus 6% commission on her sales. In a week when she worked 40 hours, her total earnings were $692.
What was the total amount of her sales for the week?
Answer:
372
Step-by-step explanation:
8x40=320
692-320=372
Draw the graph of y = 3 - 1/2x
Answer:
Answer attached
Step-by-step explanation:
The graph for the line is attached below.
What is Graph?The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.
In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.
Usually, data that varies over time is represented with a line graph.
Given:
y = 3 - 1/2x
Now, let us find the point to plot on the graph.
So, take x= 0
y= 3
and, take x= 2
y= 3- 1
y= 2
and, take x = 6
y = 3 - 3
y= 0
Thus, the points are (0, 3), (2 , 2) and (6,0).
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Gabby bought 10 boxes of raisins. She got a total of 2 1/2 cups of raisins. How many cups of
raisins were in each box?
Write your answer as a fraction or as a whole or mixed number.
Answer:
1/4 cup in each box
Step-by-step explanation:
Divide 2 1/2 by 10
Change the the 2 1/1 to an improper fraction which is 5/2
then divide
5 10 5 1
-- ÷ --- Change that to --- x --- = 1/4
2 1 2 10
Find the following
a) 3/4 of 28
Answer:
21
Step-by-step explanation:
(3÷4)×(28)=
the answer is 21
tell me if its right and i hope it helps
You have a one-year debt and you need to pay it off the ereganal price for he year was 2,000 dollers but you've waited so long that now it 2,400 dollers.And you have 1,000 doller how much more do you need.
Answer:
$1400
Step-by-step explanation:
Assuming that you would pay off the debt now and not wait any longer than to calculate how much more money you need you simply need to subtract the $1000 that you have from the total which is $2400.
$2400 - $1000 = $1400
Finally, we can see that you need an extra $1400 in order to finish paying off the debt. Unless you wait more time and the overall debt owed rises some more.
Please answer rather quickly, it’s a math question
What triangle makes the statement true? DEF=__
Answer:
c: triangle ABC is congruent to DEF
Step-by-step explanation:
find the triangle with the same side lengths and angle measurements to the given triangle.
The true statement is DEF= ABC
Thus, option (C) is correct.
As, per the figure Triangle DEF.
<DFE= 23
<DEF = 67
<EDF = 90
ED= 5 unit
EF = 13 unit
DF = 12 unit
Now, to find the congruent triangle to DEF.
Look for the triangle which same angles and sides as triangle DEF.
So, In Triangle ABC.
<CBA= 23
<CBA = 67
<BAC = 90
AB= 5 unit
CB= 13 unit
CA= 12 unit
Therefore, the statement is DEF= ABC
Thus, option (C) is correct.
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The Lee family made a 9-pound turkey for dinner. If each person will eat 1/3 of a pound, how many people will it take to finish the turkey?
Answer:
27
Step-by-step explanation:
3x 1/3 = 1
3x3 = 9
1/3 = 1 person
it takes 3 people to eat a whole pound
1 pound = 3 people
9 pounds would take 27 people
3 x 9 = 27
please answer this question it would be highly appreciated
He owes 200 so the first part of the equation would be the starting value of -200.
You would then multiply 25 by the number of months he has given them money and add that to the -200, this would make the -200 a smaller value every month meaning he owes his parents less money.
The answer is A. y = -200 + 25x
what is the slope of (-2, -3) and (3, 7)
Answer:
m=2
Step-by-step explanation:
(−2,−3);(3,7)
(x1,y1)=(−2,−3)
(x2,y2)=(3,7)
Use the slope formula:
m=y2−y1/x2−x1
=7 − −3/3 − −2
=10/5
=2
Graph:
(-2,-3) is blue
(3,7) is red
Answer:
m=2
Step-by-step explanation:
m=y2-y1/x2-x1
m= 7-(-3)/3-(-2)
m=7+3/3-(-2)
m=10/3-(-2)
m=10/3+2
m=10/5
m=2
Examine the right triangle.
Triangle A B C. Side A C is 3 meters, C B is 5 meters, and hypotenuse A B is c.
What is the length of the hypotense,c?
StartRoot 26 EndRootm
StartRoot 29 EndRootm
StartRoot 34 EndRootm
StartRoot 36 EndRootm
Answer:
9+25=36 square root of 36
AB=6m
Answer:
34 :)
Explination:
The comment above me is not correct:(
BRAINLEST ! Find the value of the variable nº
nº
(509
050
0 65
0 600
Answer:
65°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Terms/CoefficientsGeometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set up equation
n° + n° + 50° = 180°
Step 2: Solve for n
Combine like terms: 2n + 50 = 180Isolate n term: 2n = 130Isolate n: n = 65Last week, Matt worked 25 hours on weekdays and 11 hours on the weekend. Which ratio compares the number of hours he worked on weekends to the total number of hours he worked?
Answer: 11 : 36
Step-by-step explanation:
Number of total hours he worked would be:
= 25 + 11
= 36 hours
He worked 11 hours on the weekend so the ratio will be:
= 11 : 36
Greg calculated that he had to drive at least 50 miles per hour on the highway to get his destination in the time that he has. which number line shows the solution set to this inequallity
Answer:
B
Step-by-step explanation:
Since Greg has calculated that his least or minimum speed should.be 50 miles per hour ;
Then the line starts at 50 with the starting point shaded due to the atleast notation.
Then atleast means that, Gregg may need to travel at a higher speed than 50, so the direction of the arrow moves to the right of the number line depicting a possible increase in Gregg's speed.
Therefore, the number line which best conveys Gregg's situation is B.