The value of the expression is : 61
Using the expression given :
n + 9mUsing the values of n and m given ;
n = 7m = 6Substituting our values into the expression ;
7 + 9(6)
7 + 54
= 61
Hence, the value of the expression is. 61
Complete Question :
Evaluate the expression n + 9m when m=6 and n=7
What is the unit rate of (30,24) expressed in price per pound?
Answer:
80cents per pound
Step-by-step explanation:
24 divided by 30 is .8
Coached Example
V
...
Tanya walked 15 laps on an indoor track in 30 minutes. What was Tanya's avera
speed in laps per minute?
The speed formula is r = _
The distance is _ laps.
The time is minutes.
Substitute the known values into the speed formula.
r=
Simplify the fraction.
r=
Tanya's average speed was
laps per minute.
Answer:
Tanya's average speed was [tex]\frac{1}{2}[/tex] laps per minutes.
Step-by-step explanation:
Tanya walked 15 laps on an indoor track in 30 minutes.
Therefore, the average speed of Tanya is [tex]\frac{15}{30} = \frac{1}{2}[/tex] laps per minutes.
Calculation:
The average speed formula is given by [tex] V = \frac{\textrm {Distance covered}}{\textrm {Number of munutes spent}}[/tex]
The distance is 15 laps.
The time is 30 minutes.
Therefore, [tex]V = \frac{15}{30}[/tex] laps per minute.
After simplification, [tex]V = \frac{1}{2}[/tex] laps per mins.
Therefore, Tanya's average speed was [tex]\frac{1}{2}[/tex] laps per minute. (Answer)
Omar drove 737 miles in 11 hours.At the same rate,how long would it take him to drive 871 miles?
Answer:13 hours
Step-by-step explanation:
So you would divide 737 (miles) by 11 (hours) in order to find how far he traveled in 1 hour. You should get 67. So he travels at 67 miles in 1 hour. Then you would divide 871(total miles) by 67(distance traveled in 1 hour) to find out how many hours it took to travel 871. You should get 13(hours).
Hoped it helped.
The product of 3! is
The product of 3 factorial is 6.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
We have to find the value of 3 factorial.
By the definition of factorial, factorial of any natural number can be defined as,
a factorial = 1 × 2 × ....... × (a - 1) × a
Here we have to find 3 factorial.
3 factorial can be written as,
3 factorial = 3 × 2 × 1 = 6 × 1 = 6
Hence the required product of 3 factorial is 6.
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What is the absolute value of -0.2
Answer:
0.2
Step-by-step explanation:
Absolute values are positive version of any number. So the absolute value of both 0.2 and -0.2 would be 0.2
a train can travel 39.3 miles per hour at this speed about how far can the train travel in 6.5 hours
Answer:
Speed = 39.3 miles/hr
Time = 6.5 hrs.
Distance = Speed x time
= 39.3 x 6.5
= 245.45 miles (approx.)
Hope this helps!
Answer:
Speed = 39.3 miles/hr
Time = 6.5 hrs.
Distance = Speed x time
= 39.3 x 6.5
= 255.45 miles (approx.)
Step-by-step Explanation:
Using the approximation 3.14 for \pi what is the radius of a circle with circumference 75.4m
Answer:
The radius of the circle is 12.006 m.
Step-by-step explanation:
Let us assume the radius of the circle = r
Circumference = 75.4 m
Now, CIRCUMFERENCE OF A CIRCLE = 2 π r
⇒ 75 .4 m = 2 π r
Now, putting π = 3.14, we get:
75 .4 m = 2 (3.14) r
⇒ 75.4 = 6. 28 r
or, r = 75.4/6.28 = 12.006
or, r = 12.006 m
Hence, the radius of the circle with circumference 75.4 m is 12.006 m.
Find the 7th term in the
sequence
1, -3, 9, -27,...
Answer: 729
Step-by-step explanation: 1st term X common ratio(desired term-1)
The 7th term in the sequence is -2187.
Explanation:To find the 7th term in the sequence 1, -3, 9, -27, ..., we can observe that each term is obtained by multiplying the previous term by -3. Therefore, to find the 7th term, we start with the first term 1 and repeatedly multiply by -3:
1 × -3 = -3-3 × -3 = 99 × -3 = -27-27 × -3 = 8181 × -3 = -243-243 × -3 = 729729 × -3 = -2187So, the 7th term in the sequence is -2187.
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3
Select the correct answer.
A square field was enlarged by adding 5 feet to the length and width of the original field. If the area of the enlarged field is 576 square feet, what
was the side length of the original field?
A.
29 feet
19 feet
C.
6 feet
D.
36 feet
Answer:
The answer is 19 feet or B.
Step-by-step explanation:
First you should know that a square has equal sides.
Then it tells you to add 5 feet on the original field. So you add 5 to 19 and you get 24. After that, you multiply the 24 by itself to get 576 feet.
Factor −1/4 out of −1/2x−5/4y. The factored expression is .
Answer:
(-1/4)(2x +5y)
Step-by-step explanation:
Multiply and divide by -1/4:
[tex]-\frac{1}{2}x-\frac{5}{4}y=\dfrac{(-\frac{1}{4})(-\frac{1}{2}x-\frac{5}{4}y)}{-\frac{1}{4}}=\left(-\dfrac{1}{4}\right)(-4)\left(-\dfrac{1}{2}x-\dfrac{5}{4}y\right)\\\\=\left(-\dfrac{1}{4}\right)\left(2x+5y)[/tex]
Find the GCF of 45 and 75 using the prime factorization. (You can leave your answers in the prime factorization form.)
Answer:
15
Step-by-step explanation:
Answer:
3*5
Step-by-step explanation:
GCF of 45 and 75 = 15
15: 1,3,5,15
3 and 5 are prime numbers so: 3*5=15
Which expression is equivalent to (6i)^3
Step-by-step explanation:
[tex](6i)^3\qquad\text{use}\ (ab)^n=a^nb^n\\\\=6^3i^3\\\\\text{If}\ i=\sqrt{-1},\ \text{then}\\\\6^3i^3=216(-i)=-216i\\\\\text{else}\\\\6^3i^3=216i^3[/tex]
Final answer:
The expression equivalent to (6i)^3 is -216i, achieved by cubing the digit 6 to get 216 and remembering that i^3 is -i.
Explanation:
To find an expression equivalent to (6i)^3, we follow the rules of exponentiation and imaginary numbers. First, we cube the digit part, which is 6, to get 6^3 = 216. Next, we cube the imaginary unit i. Recall that i is the imaginary unit where i^2 = -1. Thus, i^3 is the same as i^2 multiplied by i, which equals to -i.
Combining these, we obtain (6i)^3 = 6^3 * i^3 = 216 * (-i) = -216i. This is the simplified form of the original expression.
There are 482 studemts in the school and there are two Grade 4 classes: Ms.Ashley's and Mr.Ben's classes. Mrs. Aheley's class had 15 boays and 6 girls. Mr Ben's class ahd 14 girls and 10 boys. In Ms. Ashley's class, 2/3 of the students wear glasses.
In Mr. Ben's class, 1/4 of the kids have others siblings in the school.
1. What fraction of the students in the school are in grade 4?
2. What fraction of the grade 4 students are boys?
3. What fraction of the grade 4 students are in Ms. Ashley's class?
4. What fraction of the students in Mr. Ben's class that do not have siblings in the same school?
5. In Ms. Ashley's class, are there more students that wear glasses or do not wear glasses?
Answer:
1. 45/482 of the students are in grade 4.
2. 5/9 of the students of the grade 4 are boys.
3. 7/15 of the grade 4 students are in Ms. Ashley's class
4. 3/4 of the students in Mr. Ben's class do not have siblings in the same school.
5. There are 14 students with glasses and 7 without glasses.
Step-by-step explanation:
1. Let's review the information given to us for solving the questions:
Number of students in the school = 482
Ms. Ashley's Grade 4 class = 21 students
Ms. Ashley's Grade 4 class boys = 15 students
Ms. Ashley's Grade 4 class girls = 6 students
Ms. Ashley's Grade 4 class with glasses = 2/3 * 21 = 42/3 = 14 students
Mr. Ben's Grade 4 class = 24 students
Mr. Ben's Grade 4 class boys = 10 students
Mr. Ben's Grade 4 class girls = 14 students
Mr. Ben's Grade 4 class with siblings in the school = 1/4 * 24 = 24/4 = 6 students
2. Let's answer all the questions:
1. What fraction of the students in the school are in grade 4?
(Ms. Ashley's Grade 4 class + Mr. Ben's Grade 4 class)/ Number of students in the school
21 + 24 / 482 = 45/482
2. What fraction of the grade 4 students are boys?
(Ms. Ashley's Grade 4 boys + Mr. Ben's Grade 4 boys)/ (Ms. Ashley's Grade 4 class + Mr. Ben's Grade 4 class)
15 + 10 / 21 + 24
25 / 45 = 5/9
3. What fraction of the grade 4 students are in Ms. Ashley's class?
Ms. Ashley's Grade 4 class / (Ms. Ashley's Grade 4 class + Mr. Ben's Grade 4 class)
21 / 21 + 24
21 / 45 = 7/15
4. What fraction of the students in Mr. Ben's class that do not have siblings in the same school?
(Mr. Ben's Grade 4 class - Mr. Ben's Grade 4 class with siblings in the school)/ Mr. Ben's Grade 4 class
24 - 6 / 24
18 / 24 = 3/4
5. In Ms. Ashley's class, are there more students that wear glasses or do not wear glasses?
There are 14 students with glasses and 7 without glasses.
Note: Same answer to question 14038475, answered by me.
Please help me!
A recipe uses 8 3/4 cups of milk for every 3 1/2 cups of oatmeal.
How many cups of milk are used for each cup of oatmeal?
Enter your answer as a mixed number in simplest form.
Thank you! :)
Answer:
2[tex]\frac{1}{2}[/tex] cups
Step-by-step explanation:
Given, a recipe uses 8[tex]\frac{3}{4}[/tex] cups of milk for every 3[tex]\frac{1}{2}[/tex] cups of oatmeal.
So, For each 8.75 cups of milk ,3.5 cups of oatmeal is required.
Or,
we can say 3.5 cups of oatmeal require 8.75 cups of milk.
Thus,
1 Cup of oatmeal will require [tex]\frac{8.75}{3.5}[/tex] cups of milk.
= 2.5 cups of milk .
Thus answer is 2.5 cups, Which we can write 2 + 0.5 cups
= 2[tex]\frac{1}{2}[/tex] cups (In mixed form)
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The function below represents the monthly expenses for an event planning company where f(x) represents the total monthly expenses for planning x events. If at the end of one month the expenses for the company were $12,350, then ___ events were planned
f(x) = 50(2x=1) + 300
Answer:
There were 120 events planned.
Step-by-step explanation:
We are given the following information in the question:
f(x) represents the total monthly expenses for planning x events.
[tex]f(x) = 50(2x+1) + 300[/tex]
Cost of expenses for the company at the end of one month = $12,350
We have to find the number of events planned that is we have to find the value of x.
[tex]f(x) = 50(2x+1) + 300 = 12350\\50(2x+1) + 300 = 12350\\100x + 50 + 300 = 12350\\100x + 350 = 12350\\100x = 12350-350\\100x = 12000\\\\x = \displaystyle\frac{12000}{100} =120[/tex]
Thus, there were 120 events planned.
Answer:
120
Step-by-step explanation:
i actually did just guess on that answer i didnt know what to put
How do I get the Central angle?
Answer:
199.8°
Step-by-step explanation:
The circle has radius r = 7 ft.
Now, the circumference of the circle is given by the formula C = 2πr
So, [tex]C = 2 \times \frac{22}{7} \times 7 = 44[/tex] ft.
Now, 44 ft arc length is equivalent to 360°
Hence, 24.42 ft arc length is equivalent to [tex]\frac{360}{44} \times 24.42 = 199.8[/tex] degree.
Therefore, the central angle is 199.8° (Answer)
Hey circular trampoline has an area of 132.2 ft.² what is the radius of the trampoline rounded to the nearest tenth
Final answer:
To find the radius of the circular trampoline, we can use the formula for the area of a circle and rearrange it to solve for the radius. The radius of the trampoline is approximately 6.5 ft (rounded to the nearest tenth).
Explanation:
To find the radius of the circular trampoline, we can use the formula for the area of a circle, which is A = πr². In this case, the area is given as 132.2 ft². We can rearrange the formula to solve for the radius:
r² = A/π
r² = 132.2/π
r ≈ √(132.2/π)
r ≈ √(42)
r ≈ 6.5 ft (rounded to the nearest tenth)
Final answer:
To find the radius of the trampoline, we use the formula for the area of a circle and rearrange it to solve for the radius. After substituting the given area and approximating π as 3.14, we find that the radius is approximately 6.5 ft when rounded to the nearest tenth.
Explanation:
The area of a circle is given by the formula A = πr², where A is the area and r is the radius of the circle. Given the area of the trampoline as 132.2 ft², we can solve for the radius using the area formula. We rearrange the formula to solve for the radius: r = √(A/π).
Substituting the given area and the approximate value for π (3.14), we get r = √(132.2/3.14). This simplifies to r = √(42.085...), which is approximately r = 6.487 ft. Rounding to the nearest tenth gives us a radius of 6.5 ft.
The proof for the power property of logarithms appears in the table with an expression missing.
Step
Reason
log, M)
Given
log.((b"))
Substitution
Properties of exponents
Logarithm property log, (b) = 0
Substitution
Commutative property of multiplication
Flog, (M).
Frilog, (M)
Which expression is missing from the proof?
log, (6**)
log, (6*-))
Ino/
Mark this and return
Save and Exit
Submit
Next
Answer:
[tex]log_{b}(b^{x r}) [/tex]
Step-by-step explanation:
A picture of the question is shown in the figure attached. There we can see that the step corresponding to Properties of exponents is the option:
[tex]log_{b}(b^{x r}) [/tex]
which is equivalent to
[tex]log_{b}((b^{x})^{r}) [/tex]
This question is based on the property of exponents.Therefore, the correct option is (c), [tex]\bold{log _a(b^{x r})}[/tex].
Given that :
[tex]\bold{log_a(M^r)}[/tex]
In this question, we have choose appropriate correct option for for given expression.
According to the question,
It is given that,
[tex]\bold{log_a(M^r)}[/tex] ...(1)
Now, substitute the value of M = [tex]\bold{b^{x}}[/tex]. We get,
Thus, [tex]\bold{log_a(M^r)} = \bold{log _a((b^{x})^r)}[/tex] ...(2)
As we know that, by using the property of exponents,
[tex]\bold{(x^{m})^n = x ^{mn}}[/tex]
Now, applying this property in expression (2).
We get,
[tex]\bold{log _a((b^{x})^r)} = \bold{log _a(b^{x r})}[/tex]
Therefore, the correct option is (c), [tex]\bold{log _a(b^{x r})}[/tex].
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using the piling method, which of the following can be constructed from polygons alone? check all that apply
A. circle
B. pyramid (including the vertex)
C. cylinder
D. pyramid (not including the vertex)
E. prism
F. cone
Answer:
D. pyramid (not including the vertex)
E. prism
Step-by-step explanation:
D and E are the answers to this question.
D. pyramid (not including the vertex)
E. prism
Given A(5,3) and O(0,0), find a point B that makes the following true: m(A,B)=3
A point B is (1 , -9)
Step-by-step explanation:
The formula of the slope of a line is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
where [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] are two points
lie on the line
A (5 , 3) and O (0 , 0) are two pointsm(A , B) = 3 ⇒ (the slope of AB = 3)We need to find a point B that makes that true
Assume that point B is (x , y)
∵ Point A = (5 , 3)
∵ Point B = (x , y)
∴ [tex]x_{1}=5[/tex] and [tex]x_{2}=x[/tex]
∴ [tex]y_{1}=3[/tex] and [tex]y_{2}=y[/tex]
- Substitute these values in the formula of m
∴ [tex]m=\frac{y-3}{x-5}[/tex]
∵ m(A , B) = 3
- Equate the formula of the slope by 3
∴ [tex]\frac{y-3}{x-5}=3[/tex]
- By using cross multiplication
∴ y - 3 = 3(x - 5)
- Simplify the right hand side
∴ y - 3 = 3x - 15
- Add 3 for both sides
∴ y = 3x - 12
To find point B chose any value for x and substitute it in the
equation to find y
∵ x = 1
∴ y = 3(1) - 12 = 3 - 12
∴ y = 9
∴ Point B = (1 , -9)
V.I.N: You can find many values of point B by chose different values of x and find the corresponding values of y
A point B is (1 , -9)
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If the sum of a number and -3 is doubled the result is 1 half
times the number. Find the number
Answer:
-3
Step-by-step explanation:
2(x+-3)=1/2x
2x+6=1/2x
6=-1/2x
x=-3
Answer:
-3 is the write answer
Step-by-step explanation:
2(x+3)=1/2x
2x+6=1/2x
6=-1/2x
x=-3
You work 37 1/2 hours and earn $352.50. What is your hourly wage
Answer:
$9.40
Step-by-step explanation:
well since you work 37.5 hours and you earn $352.50 you divide them to get your hourly wage
352.5 ÷ 37.5 = 9.4
so your hourly wage is $9.40
Final answer:
To calculate the hourly wage, the total earnings of $352.50 should be divided by the total work hours of 37.5. The hourly wage comes out to be $9.40.
Explanation:
To find out your hourly wage, you need to divide your total earnings by the number of work hours. In this instance, you worked 37.5 hours (since 1/2 an hour is equivalent to 0.5 hours) and earned $352.50. So, your hourly wage would be calculated as follows:
Hourly Wage = Total Earnings ÷ Number of Work Hours
Hourly Wage = $352.50 ÷ 37.5 hours
Hourly Wage = $9.40 per hour
Therefore, your hourly wage is $9.40.
The relationship between number of animals owned and the number of vet bills is an example of what type of correlation
Answer:
The relationship between number of animals owned and the number of vet bills is an example positive correlation.
Step-by-step explanation:
Correlation:
Correlation is a technique that help us to find or define a relationship between two variables. It is a measure of linear relationship between two quantities. A positive correlation means that an increase in one quantity leads to an increase in another quantity A negative correlation means with increase in one quantity the other quantity decreases. +1 tells about a a perfect positive linear relationship and −1 indicates a perfect negative linear relationship.Now, as the number of animals increase the number of vet bills will increase. Thus, it could be said that increase in one variable leads to increase in another variable.
Thus, the given relationship is an example of positive relationship or a positive correlation.
Can someone help me with these problems? The majority of them I have answers but I don't understand them. Thanks!
What is the area of the triangle with a base of 5 1/2 cm and a height of 3 1/2 cm?
My answer - 11 1/2
919÷ 2
Round to the nearest whole
My answer-?
What is the area of a parallelogram with a base of 14.5 m and a height of 21 m?
The cafeteria sold 200 grilled cheese sandwiches, 100 tacos, and 150 grilled chicken salads. What is the ratio in simplest terms of grilled chicken salads sold to the total number of lunches sold?
My Answer- 1:3
What is the ratio of odd to even digits in the following number:
7,208,631
My Answer- 3:4
Given that one ton is equal to 2000 pounds, what is 5 tons?
My Answer- 400 or 1000
A table measures 3 feet across. How many inches is this?
My Answer-36
Answer:
The corresponding answers to the questions are 9.625 cm² , 459, 304.5m², 1 : 3 , 3:4 , 10,000 pounds , 36 inches.
Step-by-step explanation:
1.
Area of triangle = 0.5 x base length x height
Here base length = 5.5cm and height = 3.5cm
So area will be 0.5 x 5.5 x 3.5 cm² = 9.625 cm²
2.
919/2 rounding off to nearest whole
We know that the value of 919/2 = 459.5 .
So the nearest whole number value to which it can be rounded off is 459.
3.
We know that area of parallelogram is base length x height
Here, base length =14.5m and height = 21m
So area = 14.5 x 21 m² = 304.5m²
4.
No. of grilled cheese sandwiches sold = 200
No. of tacos sold = 100
No. of grilled chicken salads sold = 150
Total lunches sold = 200 + 100 + 150 = 450
So, ratio of chicken salads to lunches sold is 150 : 450 = 1 : 3
5.
Given number : 7,208,631
Odd digits here - 7,3,1 - 3 digits
Even digits here - 2,0,8,6 - 4 digits
So, ratio of odd digits to even digits is 3:4
6.
One ton = 2000 pounds
So 5 tons = 5 x ( 1 ton) = 5 x 2000 pounds = 10,000 pounds
7.
Table length = 3 feet
We know that 1 foot = 12 inches
So table length = 3 foot = 3 X 12 inches = 36 inches
A 7-digit number
12
A
019
B
is divisible by 72. What is
A
×
B
?
Answer:
6
Step-by-step explanation:
Because you have to added than reverse the question than it will give you your answer backwards
How to simplify the fractions
Answer:
[tex]\large\boxed{\dfrac{3x+6}{x-4}\div\dfrac{2x^2+9x+10}{x^2+4x}=\dfrac{3x(x+4)}{(x-4)(2x+5)}}[/tex]
Step-by-step explanation:
Just like that
[tex]\dfrac{3x+6}{x-4}\div\dfrac{2x^2+9x+10}{x^2+4x}=\dfrac{3x+6}{x-4}\cdot\dfrac{x^2+4x}{2x^2+9x+10}\\\\=\dfrac{3(x+2)}{(x-4)}\cdot\dfrac{x(x+4)}{2x^2+4x+5x+10}=\dfrac{3(x+2)}{(x-4)}\cdot\dfrac{x(x+4)}{2x(x+2)+5(x+2)}\\\\=\dfrac{3(x+2)}{(x-4)}\cdot\dfrac{x(x+4)}{(x+2)(2x+5)}\qquad\text{cancel}\ (x+2)\\\\=\dfrac{3x(x+4)}{(x-4)(2x+5)}[/tex]
Which table shows the relationship y= 1/2x?
what is (4x-7)-(2x-2) i want the answer please and thank you
Answer:
2x-5
Step-by-step explanation:
(4x-7)-(2x-2)=4x-2x-7-(-2)=2x-7+2=2x-5
Answer:
2x-5
Step-by-step explanation:
five sevenths times seven thirds
5/7 x 7/3
Multiply the numerators together and the denominators:
(5 x 7) / (7 x 3)
35/21 reduces to 5/3 = 1 2/3
AB contains points (2, 1) and (-1, -8). What is the equation of the line parallel to AB that contains point (0, 2)?
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
[tex]y = mx + b[/tex]
Where:
m: It's the slope
b: It is the cut-off point with the y axis
We have two points that belong to the AB line:
[tex](x_ {1}, y_ {1}) :( 2,1)\\(x_ {2}, y_ {2}): (- 1, -8)[/tex]
We can find the slope:
[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-8-1} {- 1-2} = \frac {-9} {- 3} = 3[/tex]
By definition, if two lines are parallel then their slopes are equal. Thus, a line parallel to AB will have slope [tex]m = 3[/tex], then the equation will be of the form:
[tex]y = 3x + b[/tex]
We substitute the given point and find b:
[tex](x, y) :( 0,2)\\2 = 3 (0) + b\\2 = b[/tex]
Finally, the equation is:
[tex]y = 3x + 2[/tex]
Answer:
[tex]y = 3x + 2[/tex]