Answer:
it's D
Step-by-step explanation:
y= .05x+20
x=50
y=.05(50)+20
2.5+20
y=22.5
y=.25x+10
x=50
y=.25(50)+10
12.5+10
y=22.5
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:
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]
In the box, type in the number that will correctly complete the sentence.
Nina spent $12 on a shirt and $7 on a scarf. The total effect on her budget can be expressed as Answer
dollars.
Answer:
19??
Step-by-step explanation:
Answer:
yes it is 19 all you have to do is add 12 and 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
20. At a real estate agency, an agent sold a house for $382,000. The commission
rate is 5.5% for the real estate agency. The commission for the agent is 30%
of the amount the real estate agency gets.
Answer:
The amount which real estate agency gets is $ 21,010 .
Step-by-step explanation:
Given as :
The selling price for a house = $ 382,000
The commission rate for real estate agency = 5.5 %
The commission rate for the agent = 30 %
So, the commission which real estate agency get = 5.5 % of $ 382,000
I.e the commission which real estate agency get = 0.055 × $ 382,000
Or, the commission which real estate agency get = $ 21,010
Again ,
The commission which agent get = 30 % of $ 382,000
I.e the commission which agent get = 0.3 × $ 382,000
Or, the commission which agent get = $ 114,600
Hence The amount which real estate agency gets is $ 21,010 . answer
The agent earns a commission of $6,303 from the $382,000 house sale. This is calculated by first determining the real estate agency's commission of 5.5% on the sale price, which is $21,010. Then calculating 30% of this figure, which is the agent's earnings.
Explanation:To calculate the total commission the agent will receive, you first have to calculate how much the real estate agency gets, and then calculate the agent's earnings based on that number.
The real estate agency's commission is 5.5% of the total sold price of the house. This can be calculated as:
(5.5 / 100) * $382,000 = $21,010
The agent then receives 30% of this amount, which you calculate as:
(30 / 100) * $21,010 = $6,303
Therefore, the agent earns a commission of $6,303 from the sale of the house.
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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)
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.
A rectangular pasture has a perimeter of 1000 feet. The pasture’s length is 100 feet more than its width. What Is the area of pasture?
The area of pasture is 60000 square feet.
Step-by-step explanation:
Perimeter of rectangular pasture = 1000 feet
Width of pasture = w
Length of pasture = l = w+100
We know that,
Perimeter = 2(Length+width)
[tex]1000=2(w+100+w)\\1000=2(2w+100)\\1000=4w+200\\1000-200=4w\\800=4w\\4w=800[/tex]
Dividing both sides by 4
[tex]\frac{4w}{4}=\frac{800}{4}\\w=200[/tex]
Width is 200 feet.
Length = w+100 = 200+100 = 300 feet
Area of pasture = A = Length * Width
[tex]Area\ of\ pasture=300*200\\Area\ of\ pasture=60000 \ ft^2[/tex]
The area of pasture is 60000 square feet.
Keywords: rectangle, area
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The question is about calculating the area of a rectangular pasture given its perimeter and relation between its length and width. After setting up equations based on the given conditions and calculating, the area of the pasture is found to be 60,000 square feet.
Explanation:The subject of this question is Mathematics, specifically dealing with the calculation of area from given perimeter and length-width relationship in a rectangle. Let's denote the width of the rectangular pasture as 'w', and its length would then be 'w+100'.
The formula for the perimeter of a rectangle is 2*(length + width). As given, the perimeter is 1000 feet, so we set up the equation: 1000 = 2*(w+100 + w).
Simplify this to get the width 'w' which is 200 feet and the length is 'w+100', so 300 feet.
The area of a rectangle is calculated by the formula length*width, therefore, calculating gives 200*300 = 60,000 square feet.
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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.
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
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.
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
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.
Help this is just one math problem and I need help *15 points*
Answer: The value of x is 40
Step-by-step explanation:
Given triangle SRT,
Angle SRT = 20 and Angle SRT = Angle STR
To find Angle STU:
We know that
The sum of all interior angles of triangle is equal to 180.
Angle SRT + Angle STR + Angle RST =180
Also, Angle SRT = Angle STR =20
20+20+Angle RST=180
Angle RST=140.
Now. The exterior angle of triangle is equal to sum of opposite interior angles of triangle,
Angle STU=4x=Angle RST+Angle SRT
4x=20+140
4x=160
x=40
Therefore, The value of x is 40
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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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)
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)
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
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.
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:
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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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]
What is six and one half times three
Answer: 19.5
Step-by-step explanation:
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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18 is what percentage of 30
Answer:
60%Step-by-step explanation:
[tex]\bold{METHOD\ 1:}\\\\\text{Calculate what fraction of 30 is 18 and convert it to percent:}\\\\\dfrac{18}{30}=\dfrac{18:6}{30:6}=\dfrac{3}{5}\\\\\dfrac{3}{5}\cdot100\%=\dfrac{300}{5}\%=60\%[/tex]
[tex]\bold{METHOD\ 2:}\\\\\begin{array}{ccc}30&-&100\%\\\\18&-&p\%\end{array}\qquad\text{cross multiply}\\\\\\(30)(p)=(18)(100)\\\\30p=1800\qquad\text{divide both sides by 30}\\\\\dfrac{30p}{30}=\dfrac{1800}{30}\\\\p=60[/tex]
Final answer:
18 is 60% of 30, calculated by dividing 18 by 30 and then multiplying the result by 100.
Explanation:
Calculating the Percentage
To determine what percentage 18 is of 30, you can use the formula for calculating percentages:
Divide the number you want to find the percentage of (18 in this case) by the total number or 'whole' value (which is 30).
Multiply the result from step 1 by 100 to find the percentage.
So, the calculation is (18 ÷ 30) × 100, which equals 60%. Therefore, 18 is 60% of 30.
Which table shows the relationship y= 1/2x?
___can be hard for children to control, but helps free their tension.
A. Collage
B. Mural
C. Tempera painting
D. Finger painting
Answer:
Option(D)
Finger Painting can be hard for children to control, but helps free their tension
Explanation:
Finger painting is a form of art in which the paintings or drawings are created by using fingers instead of a pen, pencil or brush.In this the fingers are dipped in paint and then the drawings are made by using bare hands.
This is a hard technique to make a painting or illustration and hence can be hard for children to control, but since it involves sensing touch, it helps release the tension and soothe the mind of the person who does painting using this method.
Mrs. Bailey had 12 pieces of candy. She gave away some candy and has 3 pieces left. What is the percent decrease of candy? Please show your work.
Answer:
75% decrease
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
Given f(x)=x-1 and g(x)=-x+1, find (f•g)(x)
[tex](fog)(x) = -x[/tex]
Step-by-step explanation:
The composition is calculated by putting the other function in place of variable
Given
[tex]f(x) = x - 1\\g(x) = -x+1[/tex]
The composition will be:
[tex](fog)(x) = g(x) -1\\=(-x+1) -1\\=-x+1-1\\=-x[/tex]
Hence,
[tex](fog)(x) = -x[/tex]
Keywords: Composition, Functions
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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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