Answer:
3 apples per $ is the greatest unit rate when someone buy 12 apples for $4, because we are able buy more apples with this rate for the same price.
Step-by-step explanation:
As we know that unit rate can be calculated by dividing the two quantities having different units.
For example, Madrid has been champions 10 times in 30 seasons,
i.e. 10 champions / 30 seasons = 0.33 champions per season
and
Barcelona has been champions 5 times in 30 seasons.
i.e. 5 champions / 30 seasons = 0.16 champions per season
Thus, the champion rate for Real Madrid is greater than the champion rate for Barcelona. It means, Real Madrid has been a better team.
Now, let us check and answer the question.
12 apples for $4 means:12 apples / $4 = 3 apples per $
21 apples for $8 means:21 apples / $8 = 2.62 apples per $
35 apples for $14 means:35 apples / $14 = 2.5 apples per $
45 apples for $16 means:45 apples / $16 = 2.81 apples per $
From the above calculations and observation, we can conclude that 3 apples per $ is the greatest unit rate when someone buy 12 apples for $4.
This unit rate is the greatest because we are able buy more apples with this rate for the same price.
In other words, the rate is cheaper than the unit rate of the rest, because can buy more apples with this rate for the same price.
If the sales tax is six 3/4% what is the total cost of a $76.01 item
the total cost of a $76.01 item is $81.14 .
Step-by-step explanation:
Here we have , sales tax is six 3/4% . We need to find that what is the total cost of a $76.01 item .Let's find out:
Sales tax is actually the extra money we need to give apart from actual cost of item which is given to government or concerned authority .
Tax is 6(3/4)% of cost price i.e.
[tex]Tax = \frac{cost-price(6\frac{3}{4})}{100}[/tex]
⇒ [tex]Tax = \frac{cost-price(6\frac{3}{4})}{100}[/tex]
⇒ [tex]Tax = \frac{(76.01)(6.75)}{100}[/tex]
⇒ [tex]Tax = \frac{513.06}{100}[/tex]
⇒ [tex]Tax = 5.13[/tex]
So, total cost = $76.01 + $5.13
total cost = $81.14
Therefore, the total cost of a $76.01 item is $81.14 .
is milk souring a chemical or physical change
Answer:
I believe it would be a chemical change as there would be no way to reverse it
The radius of a circular rug is 5 feet. How much ribbing will you need to buy to go around the
rug? Use 3.14 for pi
The length around the rug is the circumference.
The formula is C = 2 x PI x r
C = 2 x 3.14 x 5 = 31.4 feet
For this case we must find the perimeter of the circular carpet.
By definition, the perimeter of a circle is given by:
[tex]P = 2 \pi * r[/tex]
Where:
r: It is the radius of the circle
According to the statement we have:
[tex]r = 5 \ ft[/tex]
Substituting:
[tex]P = 2 * 3.14 * 5\\P = 2 * 3.14 * 5\\P = 31.4 \ ft[/tex]
So, you need[tex]31.4 \ ft[/tex]
Answer:
[tex]31.4 \ ft[/tex]
What is the image of Q for a dilation with the center (0,0) and a scale factor of 0.5?
A.) (0.5, 2.5)
B.) (2, 10)
C.) (1, 2.5)
D.) (10, 2)
Answer: OPTION A.
Step-by-step explanation:
A dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure before the transformation) have the same shape, but they have different sizes.
In this case you know that the dilation is centered at the origin and the scale factor is:
[tex]k=0.5[/tex]
Therefore, the rule is the following:
[tex]Q(kx,ky)[/tex]
You can identify in the figure attached that the point Q is:
[tex]Q(1,5)[/tex]
Therefore, you must multiply its coordinates by the scale factor 0.5 in order to get its Image Q'. This is:
[tex]Q'=(1*0.5,5*0.5)\\\\Q'=(0.5.2.5)[/tex]
Final answer:
The image of point Q for a dilation with a scale factor of 0.5 and center (0,0) is (option A) (0.5, 2.5).
Explanation:
To find the image of point Q, we need to apply the dilation equation: (x', y') = (k * x, k * y), where (x, y) are the coordinates of the original point and k is the scale factor.
In this case, the center of dilation is (0, 0) and the scale factor is 0.5. So, for point Q which has coordinates (x, y), the image coordinates (x', y') will be:
(x', y') = (0.5 * x, 0.5 * y)
Therefore, the image of point Q will be (option A) (0.5, 2.5).
Given that two figures are similar, use a scale factor to find the missing length
The missing length x is 99 m.
Solution:
Given polygons are similar.
If two triangles are similar, then the corresponding sides are in proportion.
[tex]$\Rightarrow\frac{81}{18}=\frac{x}{22}[/tex]
Multiply by 22 on both sides, we get
[tex]$\Rightarrow\frac{81}{18}\times 22=\frac{x}{22}\times 22[/tex]
[tex]$\Rightarrow\frac{9}{2}\times 22=x[/tex]
⇒ 9 × 11 = x
⇒ 99 = x
Switch the sides.
⇒ x = 99
The missing length x is 99 m.
Is {(-5,1),(4,9),(6,10)} a function
Evaluate the logarithm log49 7
Answer:2
Step-by-step explanation:
Log49 7=Log49/Log7=2Log7/Log7
=2
What is the simplified expression for Negative 2 a squared b + a squared minus 5 a b + 3 a b squared minus b squared + 2 (a squared b + 2 a b)? a squared minus 9 a b + 3 a b squared a squared + 9 a b minus b squared + 3 a b squared 10 a b + a squared minus b squared 3 a b squared + a squared minus b squared minus a b
Answer:
Its a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Just did it
Simplify 4-6+2x-9x-8
Answer:
x = -10/7
Step-by-step explanation:
Step 1: Combine like terms
4 - 6 + 2x - 9x - 8
-7x - 10
Step 2: Solve for x
-7x - 10 = 0
-7x - 10 + 10 = 0 + 10
-7x / -7 = 10 / -7
x = 10/-7
Answer: x = -10/7
An equiangular triangle can be scalene
Answer:
No, as a scalene triangle's sides are are different, while an equilateral's sides are all the same.
Hope that helps, :)
Round 562 to the nearest ten
Answer:
560
Step-by-step explanation:
Answer: 560
Since it did not hit 565 it is 560.
Type the correct answer in the box. Use a decimal number instead of words.
Find the sum of a finite geometric series.
A ball is dropped from a height of 10 meters. Each time it bounces, it reaches 50 percent of its previous height. The total vertical distance down the ball has traveled when it hits the ground the fifth time is meters.
The park has a circular track with a radius of 7.6 yds. How many whole yards of fencing would they need to purchase to enclose the track? Use = 3.14
Answer:
48 yards
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=7.6\ yd\\\pi=3.14[/tex]
substitute
[tex]C=2(3.14)(7.6)=48\ yd[/tex]
Answer: 48 yards
Step-by-step explanation:
The circumference of a circle can be calculated with the following formula:
[tex]C=2\pi r[/tex]
Where "C" is the circumference of the circle and "r" is the radius of the circle.
In this case you know that the radius of the circular track is the following:
[tex]r=7.6\ yd[/tex]
Knowing tha radius, you can substitute it into the formula (According to the information given in the exercise, you need to use [tex]\pi =3.14[/tex])
[tex]C=2(3.14)(7.6\ yd)[/tex]
Finally, you need to evaluate.
Therefore, you get that the whole yards of fencing that they need to purchase to enclose the track is:
[tex]C\approx48\ yd[/tex]
Help pleaseeeeee. I’m confused. I’ll thank u
Answer: See Below
Step-by-step explanation:
(b) Make a table of white ovals and black ovals. You will notice that
white starts with 3 and adds 3 to each design → 3 + 3(d - 1) = 3d
black starts with 4 and adds 4 to each design → 4 + 4(d - 1) = 4d
[tex]\begin{array}{c|c|c}\underline{\text{Design \#}}&\underline{\text{white ovals}}&\underline{\text{black ovals}}\\1&3&4\\2&6&8\\3&9&12\\4&3(4)=12&4(4)=16\\5&3(5)=15&4(5)=20\\6&3(6)=18&4(6)=24\\\cdot&\cdot&\cdot\\\cdot&\cdot&\cdot\\\cdot&\cdot&\cdot\\n&3n&4n\end{array}[/tex]
white ovals when design = 30 ---> 3d = 3(30) = 90
black ovals when design = 100 ---> 4d = 4(100) = 400
white ovals when design = 50 ---> 3d = 3(50) = 150
black ovals when design = 50 ---> 4d = 4(50) = 200
TOTAL = 350
**********************************************************************************
(c) Make a table of rods and squares. You will notice that
rods start with 19 and add 12 to each design → 19 + 12(d - 1) = 12d - 7
squares start with 6 and add 4 to each design → 6 + 4(d - 1) = 4d + 2
[tex]\begin{array}{c|c|c}\underline{\text{Design \#}}&\underline{\qquad \text{rods}\qquad }&\underline{\qquad \text{squares}\qquad }\\1&19&6\\2&31&10\\3&43&14\\4&12(4)-7=55&4(4)+2=18\\5&12(5)-7=67&4(5)+2=22\\6&12(6)-7=79&4(6)+2=26\\\cdot&\cdot&\cdot\\\cdot&\cdot&\cdot\\\cdot&\cdot&\cdot\\n&12n-7&4n+2\end{array}[/tex]
rods when design = 15 ---> 12d - 7 = 12(15) - 7 = 173
squares when design = 15 ---> 4d + 2 = 4(15) + 2 = 62
Which of the following tables represents a function?
Answer:
Table D represents the function.
Step-by-step explanation:
Because for every value of x, there is an unique value of y.
Answer:
D
Step-by-step explanation:
the answer is d because the x doesn't repeat itself and for a -7 repeats it self, for b -8 repeats and for c -6 has 2 times. That's why those 3 can not be answer.
GIven the equation LaTeX: y=\frac{2}{3}x-1y = 2 /3 x − 1, determine the slope of the line.
Answer:
The slope of the equation is: [tex]m=\frac{2}{3}x[/tex]
Step-by-step explanation:
Given the equation
[tex]y=\frac{2}{3}x-1[/tex]
As the equation in slope intercept form
[tex]\:y=mx+b[/tex]
Here:
m = slopeb = y - interceptComparing the equation in slope intercept form
[tex]y=\frac{2}{3}x-1[/tex]
so
[tex]m=\frac{2}{3}x[/tex]
Therefore, the slope of the equation is: [tex]m=\frac{2}{3}x[/tex]
8. Chicago, Illinois, has a longitude of 88°W and a latitude of 42°N.
Indianapolis, Indiana, is located at 86°W and 40°N. At this longitude/latitude,
each degree is about 53 miles. Find the distance between Chicago and
Indianapolis.
Chicago, IL
Indianapolis, IN
Lesson 7 Distance on the Coordinate Plane
435
Answer: 150 miles
Step-by-step explanation:
The distance between Chicago and Indianapolis is approximately 150 miles.
To find the distance between Chicago and Indianapolis using their latitude and longitude coordinates, we can apply the Pythagorean theorem. The distance between two points on the Earth's surface can be approximated by considering the Earth as a flat plane, which is reasonable for relatively short distances like the one between these two cities.
The difference in latitude (north-south distance) between Chicago and Indianapolis is:
[tex]\[ 42N - 40N = 2N \][/tex]
The difference in longitude (east-west distance) between the two cities is [tex]\[ 86W - 88W = 2W \][/tex]
Since each degree is approximately 53 miles, we can calculate the north-south distance and the east-west distance:
North-south distance in miles:
[tex]\[ 2N \times 53 \text{ miles/degree} = 106 \text{ miles} \][/tex]
East-west distance in miles:
[tex]\[ 2W \times 53 \text{ miles/degree} = 106 \text{ miles} \][/tex]
Now, we can use the Pythagorean theorem to find the straight-line distance (the hypotenuse of the right triangle formed by the north-south and east-west distances):
Let [tex]\( d \)[/tex] be the distance between the two cities, then:
[tex]\[ d^2 = (106 \text{ miles})^2 + (106 \text{ miles})^2 \] \\[/tex]
[tex]\[ d^2 = 11236 \text{ miles}^2 + 11236 \text{ miles}^2 \] \\[/tex]
[tex]\[ d^2 = 22472 \text{ miles}^2 \] \\[/tex]
[tex]\[ d = \sqrt{22472 \text{ miles}^2} \] \\[/tex]
[tex]\[ d \approx 150 \text{ miles} \][/tex]
what is 2+4 in the world today
Answer:
i guess it is 6? maybe
Step-by-step explanation:
Answer: I WOULD SAY 24 BUT FOR SOME REASON IT IS 6
Step-by-step explanation:
The mean of a distribution is 276, while the median is 231. Which of these
statements is likely to be true about the distribution?
Answer:
The distribution positively skewed
Step-by-step explanation:
We have the mean of a distribution to be 276, while the median is 231.
When compare the mean and median,
we gave
276>231
Since the mean is greater than the median, the distribution is skewed to the right.
In other words, the the distribution is positively skewed.
Answer:
Positively skewed
Step-by-step explanation:
A parallelogram gas an area of 4 feet squared and a base length of 8 in. What is the height of the parellelogram
Answer:
0.5
Step-by-step explanation:
The formula for area of a parallelogram is b × h, so we can use this to find the missing value.
b × h = a
8 × h = 4
÷ 8 ÷ 8
h = 0.5
To check:
8 × 0.5 = 4, which is correct.
Your real answer is
16
10
160
got it right on edg.
Tony needs to ship 12 comedy DVDs, 24 animated DVDs, and 30 musical DVDs. He can pack only one type of DVD in each box and he must pack the same number of DVDs in each box. What is the greatest number of DVDs Tony can pack in each box?
please explain how you found your answer
The greatest number of DVDs that Tony can pack in each box is 6, which is the greatest common divisor of 12, 24, and 30.
To find the greatest number of DVDs that Tony can pack in each box, we need to determine the greatest common divisor (GCD) of the quantities of each type of DVD. The GCD is the largest number that can evenly divide all the given numbers without leaving a remainder. The numbers of DVDs are 12 (comedy), 24 (animated), and 30 (musical).
Here are the steps to find the GCD:
List the factors of each number:Factors of 12: 1, 2, 3, 4, 6, 12Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30Identify the common factors: 1, 2, 3, 6Find the largest common factor: 6Thus, the greatest number of DVDs Tony can pack in each box is 6.
What is the equation of the line parallel to 3x + 2y = -4 that goes through the point (4, -1)?
Answer:
y=-3/2x+5
Step-by-step explanation:
3x + 2y = -4
2y=-4-3x /:2
y=-4/2-3x/2
y=-3/2x-2
Slope=-3/2(=m) , because this line is parallel slope is the same, then
y-y1=m(x-x1) ,where
A(4,-1).... x1 =4, y1 =-1
y-(-1)=-3/2(x-4)
y+1=-3/2x+3/2*4
y+1=-3/2x+6
y=-3/2x+6-1
y=-3/2x+5
2) f(x) = x² **
g(x)= 3x – 2
Find f(g(-4)
Answer:
[tex]f(g( - 4)) = 196[/tex]
Step-by-step explanation:
The functions are;
[tex]f(x) = {x}^{2} [/tex]
and
[tex]g(x) = 3x - 2[/tex]
We want to find
[tex]f(g( - 4))[/tex]
First we find g(-4) to get:
[tex]g( - 4) = 3 \times - 4 - 2[/tex]
[tex]g( - 4) = - 12- 2[/tex]
[tex]g( - 4) = - 14[/tex]
Now
[tex]f(g( - 4)) = f( - 14)[/tex]
This implies that,
[tex]f(g( - 4)) = {( - 14)}^{2} [/tex]
[tex]f(g( - 4)) = {( - 14)} \times - 14[/tex]
[tex]f(g( - 4)) = 196[/tex]
The diameter is { ? }
cm.
r = 5.4 cm
The circumference in terms of pi { ? } is
cm.
Using 3.14 for pi , the approximate circumference of the
circle is { ? } cm. Find the answers for the “?”’s .
The diameter of the circle is 10.8 cm
The circumference of the circle is 33.9 cm
Explanation:
Given that the radius of the circle is 5.4 cm
Diameter:
The diameter of the circle can be determined using the formula,
[tex]d=2r[/tex]
where r = 5.4
Thus, we have,
[tex]d=2(5.4)=10.8[/tex]
Thus, the diameter of the circle is 10.8 cm
Circumference:
The circumference of the circle can be determined using the formula,
[tex]C=2\pi r[/tex]
Substituting [tex]\pi=3.14[/tex] and [tex]r=5.4[/tex], we have,
[tex]C=2(3.14)(5.4)[/tex]
[tex]C=33.9[/tex]
Thus, the circumference of the circle is 33.9 cm
Angle a and angle b are complementary angles. The measure of ∠a is 42°.
Which equation represents this situation with x representing the measure of ∠b ?
A) 90+42=x
B) 42+x=90
C) 42−x=90
D) 90+x=42
Answer: B) 42 + x = 90
Step-by-step explanation:
A complementary angle always equals 90 degrees. So, with that information, all you have to do is list the measurement of b as x and create an equation. Knowing that the measurement of angle a is 42 degrees, we can now find an equation. So, we would take the measurement of angle a, 42 degrees, and add the measurement of angle b, listed as x, which should equal 90 degrees.
Which transformation(s) affect the horizontal asymptote?
Answer:
Vertical translations would affect the horizontal asymptote.
Write the quadratic equation in standard form that represents the table below:
20 POINTS IF YOU HELP!
Final answer:
The quadratic equation in standard form is t² + 14.3t - 20 = 0. It can be solved using the quadratic formula.
Explanation:
The quadratic equation in standard form that represents the given table is:
t² + 14.3t - 20 = 0
Where t represents the variable and the constants are a = 1.00, b = 14.3, and c = -20.0. The solutions to this equation can be found using the quadratic formula:
t = (-b ± √(b² - 4ac)) / (2a)
Find the values of x and y
Answer:
x = 12; y = 60
Step-by-step explanation:
The opposite sides of a parallelogram are always equal, so x+3 = 15, making x = 12
The opposite angles of a parallelogram are always equal, making y = 60
Willie had some candy to give to his five
children. He first took nine pieces for
himself and then evenly divided the rest
among his children. Each child received
three pieces. With how many pieces did
he start?
Answer he had 24 pieces
Step-by-step explanation: 5 children had 3 each 5 x 3 = 15
and 9 for him self 15+9=24
Solve fro X -3x + 4 = -8
Answer:
X = 4
Step-by-step explanation:
Solve for x.
-3x + 4 = -8
Make sure to subtract both sides.
-3x (+4 -4) = -8 - 4
-3x= -12
Divide by -3 on both sides.
-3x/-3 = -12/-3
x = 4Answer:
4
Step-by-step explanation:
-3x + 4 = -8
Subtract 4 from both sides
-3x + 4 - 4 = -8 - 4
-3x = -12
Divide both sides by by -3
x = -12/-3
x = 4