Answer:
7 and 9
Step-by-step explanation:
Variables:
x = smaller number
y = larger number
We can set up two equations with the information given:
5x + 3y = 62
and
y = x + 2
We get the second equation with the information that the two numbers are consecutive and both odd. therefore the smaller number is two less than the larger number, and the larger number is two greater than the smaller number.
Next, we need to replace our y in the first equation with the y in the second:
5x + 3y = 62
5x + 3 (x+2) = 62
5x + 3x + 6 = 62
8x = 56
x (smaller number) = 7
Finally, we solve for the larger number by placing it back into the second equation:
y = x + 2
y = 7 + 2
y (larger number) = 9
I hope this helps!
-TheBusinessMan
Find the value of each variable for y and z
Answer:
y = 102° , z = 75°
Step-by-step explanation:
Assuming this is geometry, you must find the value of 'z' first.
Using the [Supplementary Angles Theorem] for 'z' :
105° + z = 180°
Solve for z.
z = 75°
You may also hear that those two angles are a 'Linear Pair'
Then using the formula for: [Sum of Internal Angles]
Which is: sum = (n-2) * 180° where 'n' is the number of sides
The total sum of internal angles of a quadrilateral is 360°
Now knowing 3 of the 4 interior angles, you can just do arithmetic:
99° + 84° + 75° + y = 360°
Simplify:
258° + y = 360°
Therefore:
y = 102°
Why does Anthony read the preamble to the constitution in her speech, women’s rights to the suffrage
Answer:
to emphasize that the United States was founded to secure the rights of everyone
to highlight that each individual state should get to decide who is allowed to vote
Step-by-step explanation:
I really need help thanks
After selecting 180 of its employees to from a new division, a company discovers that engineers outnumber analysts by a 3:1 ratio in the division. Oly analysts and engineers work in the new division. How many more analysts must the company add to the division if it wants to have a 1:1 ratio of engineers to analysts at the new division?
Answer:
I think its 90
Step-by-step explanation:
3x plus 1x is 4x divide 180 but 4 and get 45 so that meab there are 135 and 45
you need 90 more analysts to have a 1 to 1 ratio
Are the two triangles similar
Answer:
yes
Step-by-step explanation:
The model of a 1955 Ford Thunderbird has a scale factor of 1/24. if the model of the car is 7 inches long how long is the actual car in feet?
Answer:
14
Step-by-step explanation:
A xbox is marked down $75. If this is a 15% decrease, find the sale price?
9514 1404 393
Answer:
$425
Step-by-step explanation:
After the decrease, the sale price is 100% -15% = 85% of the original price. Of course, the markdown is 15% of the original price. Then the ratio of sale price to markdown is ...
(sale price)/(markdown) = (85%)/(15%)
sale price = markdown × 85/15 . . . . . multiply by markdown
sale price = $75 × 85/15 = $425
The sale price of the x-box is $425.
Mr. Lopez, a Language Arts teacher, has his students read a certain number of pages out loud in class to start a book, and then a set number of pages for homework each night to complete the book. The graph displays the total number of pages read each day.
A graph has days on the x-axis and pages read on the y-axis. Points are at (0, 35), (1, 57), (2, 79), (3, 101), (4, 123).
What does the point (0, 35) represent?
The students will read 35 pages a day to complete the book.
The book begins on page 35.
None of the students read 35 pages.
The students read 35 pages in class to start the book..
Answer:
The students read 35 pages in the class to start the book.
Step-by-step explanation:
Given: A Language Arts teacher, Mr. Lopez has his students read a certain number of pages out loud in class to start a book, and then a set number of pages for homework each night to complete the book.
The graph displays the total number of pages read each day.
The point (0,35) represents the y-intercept of the function.
Since y axis representing the number of pages read each day.
It implies (0,35) represents the students read 35 pages in the class to start the book.
Answer:
The students read 35 pages in the class to start the book.
Step-by-step explanation:
on edge
Distance around an unmarked circle can be measured (always, sometimes, never)
Answer:
never
Step-by-step explanation:
:))
Answer:
i think answer is never
Step-by-step explanation:
never
In a study, the sample is chosen by writing everyone's name on a playing card, shuffling the deck, then choosing the top 20 cards. What is the sampling method?
A. Simple Random.
B. Systematic.
C. Stratified.
D. Convenience.
Answer: A. Simple Random Sampling
Step-by-step explanation:
A simple random sampling technique could be explained as being the most basic and approach to choosing an unbiased Number of samples from a given population. This technique simply involves choosing a specified Number of samples at random (each member of the larger sample or population has equal Chance of being selected) from a larger sample or population. It does not require any sort of partitioning during selection. As in the scenario above, the deck of cards represents the large lr population from which 20 cards are to be selected, since the card has been shuffled then each card has equal Chance of being selected.
14 POINTS! PLEASE HELP!!!!
Answer:
Do (8, -9) times 5 for both numbers
Step-by-step explanation:
8) What is the common ratio for this sequence?
12, 30, 75, 187.5
OA) 18
OB) 5
OC) 0.4
OD) 2.5
Step-by-step explanation:
it will 2.5 this is right answer option D
The common ratio of the sequence 12, 30, 75, 187.5 is 2.5 option (D) is correct.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a sequence:
12, 30, 75, 187.5
The above sequence is a geometric sequence.
The common ratio can be calculated:
r = 30/12 = 75/30
r = 2.5
Thus, the common ratio of the sequence 12, 30, 75, 187.5 is 2.5 option (D) is correct.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ2
Suppose the amount of a popular sport Drink in bottles leaving the Filling machine has a normal distribution with me 101.5 ml and standard deviation 1.6 if 36 bottles are randomly selected, find the probability that the mean is less than 102.1ml
Answer:
the filling machine has a normal distribution with mean 101.5 milliliters (mL) and standard deviation 1.6. If 46 bottles are randomly selected, find the probability that the mean content is
- Less than 102.1 mL. (Draw the bell curve)
Between 99 mL and 102.1 mL
5.) Determine the minimum sample size required when you want to be 99% confident that the sample mean is within two units of the population mean and standard deviation . assume the population is normally distributed
Roxie is picking out some movies to rent, and she is primarily interested in horror films and foreign films. She has narrowed down her selections to 20 horror films and 8 foreign films. How many different combinations of 3 movies can she rent if she wants at least two horror films?
Answer:
She has 2,660 combinations
Step-by-step explanation:
Here, we want to calculate the number of different combinations of 3 movies that can be rented
The condition is at least two horror movies
What this means is that she can select 2 or 3 horror movies
if two horror movies, then 1 foreign film
The combination is as follows;
20 C 2 * 8 C 1
= 190 * 8 = 1,520
If she is selecting 3 horror movies, then no foreign film will be selected
Number of ways this can be done is;
20 C 3 = 1,140
So the
number of different combinations would be;
1,140 + 1,520 = 2.660
Anumeha knows the following information about a set of 20 numbers: 9 numbers are a multiple of 3 but not a multiple of 4. 10 numbers in total are a multiple of 3. 10 numbers in total are a multiple of 4. Can you help Anumeha organize the results into a two-way frequency table?
15 points! Please help
Answer:
I'm pretty sure it's reflection
Step-by-step explanation:
The triangle to the right is basically a reflection of the first triangle
Which explains why the graph is not a function?
5
4
3-
2+
O It is not a function because the points are not
connected to each other.
O It is not a function because the points are not related
by a single equation
It is not a function because there are two different x-
values for a single y-value.
O It is not a function because there are two different y-
values for a single x-value.
1 +
-5 -4 -3 -2 -11
1
2 3 4 5
X
-2
+
.
-3
-4
-5
Answer:
We conclude that it is not a function because there are two different y-values for a single x-value.
Hence, option D is true.
Step-by-step explanation:
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
From the graph, we can determine the table such as:
x y
-2 -5
-1 3
1 -2
3 0
4 4
4 -2
It is clear that the values of x = 4, is repeated twice.
In other words, the input value x = 4 is duplicated.
We know that we can not have duplicated inputs as there should be only 1 output for each input.
Therefore, we conclude that it is not a function because there are two different y-values for a single x-value.
Hence, option D is true.
helpppppppppppppppppppppp
Answer:
(A) Mean
(B) Mean
(C) Mode
Hope this helps!
And hit Brainlest if ya want! ;))
The equation of line t is y = -2x + 9. Perpendicular to line t is line u, which passes through
the point (-10, 4). What is the equation of line u?
Write the equation in slope-intercept form. Write the numbers in the equation as proper
fractions, improper fractions, or integers.
Answer:
Equation of line u in slope-intercept form is: [tex]\mathbf{y=\frac{1}{2}x+9 }[/tex]
Step-by-step explanation:
Equation of line t : y = -2x + 9.
We need to find equation of line u, which is perpendicular to line t and passes through point (-10,4)
The equation must be in slope-intercept form.
The general equation of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept
Finding Slope:
If two lines are perpendicular, their slopes are opposite i.e [tex]m=-\frac{1}{m}[/tex]
Slope of line t: y=-2x+9 we get m =-2 (Comparing with general form y=mx+b, we get m =-2)
Slope of line u: [tex]\frac{1}{2}[/tex]
So, we get Slope of line u: m= [tex]\frac{1}{2}[/tex]
Finding y-intercept:
Using slope m= [tex]\frac{1}{2}[/tex] and point(-10,4) we can find y-intercept
[tex]y=mx+b\\4=\frac{1}{2}(-10)+b\\4=-5+b\\b=4+5\\b=9[/tex]
Equation of line u:
So, equation of line u, having slope m= [tex]\frac{1}{2}[/tex] and y-intercept b=9, we get:
[tex]y=mx+b\\y=\frac{1}{2}x+9[/tex]
So, Equation of line u in slope-intercept form is: [tex]\mathbf{y=\frac{1}{2}x+9 }[/tex]
Help I don’t understand
Step-by-step explanation:
Answer:
1 pounds
Step-by-step explanation:
It basically means theres 1000 things that all weigh the same, so they add up to 0.1 pounds (0.1/1000= 0.00001 ) All you need to do is multiply by 10 so it would be 1 pound :)
Given the linear equation Ax+By=8,it's x intercept is (8,0) and y-intercept is (0,8). What are the values of a and b
Answer:
A=1, B=1
Step-by-step explanation:
Equation of the line in intercept form
The intercept form of the equation of a line is:
[tex]\displaystyle \frac{x}{h}+\frac{y}{k}=1[/tex]
Where:
h = x-intercept
k = y-intercept
We are given the y-intercept (0,8) and x-intercept (8,0), thus the equation is:
[tex]\displaystyle \frac{x}{8}+\frac{y}{8}=1[/tex]
Multiplying by 8:
x + y = 8
Thus, the values of A and B are:
A=1, B=1
The moon is about 382,500km away from Earth. This distance actually varies by about 22,500km. What are the maximum and minimum distances to the moon?
Answer:
The minimum distance to the moon is of 360,000 km and the maximum distance is of 405,000 km
Step-by-step explanation:
The maximum distance is found adding the variation.
The minimum distance is found subtracting the variation.
We have that:
Distance: 382,500 km
Variation: 22,500 km
So
Maximum distance: 382500 + 22500 = 405,000 km
Minimum distance: 382500 - 22500 = 360,000 km
The minimum distance to the moon is of 360,000 km and the maximum distance is of 405,000 km
2 divided into 3 multiply 1
Answer:
either 2/3
or 3/2
but its probably 2/3
thanks for the easy points!
Step-by-step explanation:
2 3/5 ÷ 2/3
3 9/10
2 9/10
1 11/15
1 4/5
Answer:
Solving the expression: [tex]2\frac{3}{5}\div \frac{2}{3}[/tex] we get [tex]\mathbf{3\frac{9}{10}}[/tex]
Option A is correct.
Step-by-step explanation:
We need to solve the expression: [tex]2\frac{3}{5}\div \frac{2}{3}[/tex]
We need to divide both the terms.
Solving:
[tex]2\frac{3}{5}\div \frac{2}{3}[/tex]
First we will convert the mixed fraction into improper one
[tex]\frac{13}{5}\div \frac{2}{3}[/tex]
Now, we will convert division sign into multiplication, the term 2/3 is reciprocated
[tex]\frac{13}{5}\times \frac{3}{2}[/tex]
Now, multiply numerator with numerator and denominator with denominator
[tex]\frac{39}{10}[/tex]
Now, we will convert into mixed fraction
[tex]3\frac{9}{10}[/tex]
So, Solving the expression: [tex]2\frac{3}{5}\div \frac{2}{3}[/tex] we get [tex]\mathbf{3\frac{9}{10}}[/tex]
Option A is correct.
A mathematical phrase represented by numbers, variables, and operations is a(n)
A. expression.
B. equation.
C. substitution.
D. exponent.
Answer: A
Step-by-step explanation:
Algebraic (or numeric) expression (also referred to as phrase) A mathematical expression (numeric/algebraic) is one or a group of mathematical symbols representing a number or quantity. It may include numbers, variables, constants, operators, and grouping symbols. One side of an equation is also an expression.
Answer:
The other person is correct
Step-by-step explanation:
i got a 100
Read Out
Loud
Angus cut his neighbor's lawns for the summer. By the end, he
had $240 in his lawn cutting bank account after paying a total
of $60 for gas.
He earned $6 for every lawn he mowed in his neighborhood.
How many yards did he mow?
Select the expression that represents the problem above
a) (240 - 60) + 6
b) 240 + 60 x 6
c) 240 +60 - 6
d) (240 + 60) + 6
2
A
5
Answer:
pov: im getting free points
Step-by-step explanation:
Convert each of these fractions into a percent.
a. 3/20 -
b. 1/20 -
c. 12/50 =
d. 80/200 =
e. 8/25 =
f. 8/10 =
g. 16/400 =
h. 24/300 =
i. 3/5 =
j. 3/2 =
k. 45/500 =
I. 30/25 =
Answer:
15%
5%
24%
40%
32%
80%
32%
54%
60%
66%
9%
89%
Step-by-step explanation:
Guys i actually need help
Answer:
Rotation
Step-by-step explanation:
Answer:
That is just rotation.
Step-by-step explanation:
It is rotation because if you were to spin it to the right on a 57 degree it will be that angle.
It also not the others because if you were to put reflection that would it would the opposite.
Find the cost of Each Treat:
Total:
$25.71
$24.414
O
$25.71
Total:
$25.71
$23.21
$26.94
Help please rly fast.
I’ll rate you very good and do whatever. Thanks
Answer:
Ice cream is 8.98
Step-by-step explanation:
6 min to 1 hour
as a fraction in simplest form
Step-by-step explanation:
[tex]1 \: hour \: = 60 \: min \\ \\ \frac{6}{60} = \frac{1}{10} \\ [/tex]
Answer:1/10
Step-by-step explanation: