Final answer:
The product of 4/9 and 72 is found by multiplying 4 by 72 and then dividing by 9, giving us the final answer of 32.
Explanation:
To find the product of 4/9 and 72, you multiply the two numbers together. Here's how you do it:
Write the multiplication expression: 4/9 × 72.
Since 72 is the same as 72/1, you can think of this as multiplying two fractions: (4/9) × (72/1).
Multiply the numerators together: 4 × 72 = 288.
Multiply the denominators together: 9 × 1 = 9.
Combine the results to find the fraction form of the answer: 288/9.
Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 9: 288 ÷ 9 = 32.
The product of 4/9 and 72 is 32.
What’s the square root of -16?
Answer:
It can`t be -4 because -4² = +16 and it can`t be 4² because 4² = +16
In other words, there is nothing you can square to get -16.
Step-by-step explanation:
It izz wat it izzzz!!!
write an equation in point-slope form of the line that passes through the point (-2,4) and has a slope of 5
Answer:
y=mx+b m= slope b=Y-Intercept
4=5(-2)+b
Answer:
4=5(-2)+b
Step-by-step explanation:
hope this helps
Before soccer practice Allyson jogs around the field that measures 100 yards by 65 yards twice. How far will she jog?
Answer:
she will jog 660
Step-by-step explanation:
(100+65)×2=1 lap
330×2=2 laps (660yards)
Final answer:
Allyson will jog around the perimeter of the soccer field twice, which totals 660 yards.
Explanation:
Allyson is jogging around a soccer field that has dimensions of 100 yards long and 65 yards wide. To find out how far she will jog, we need to calculate the perimeter of the field and then multiply it by the number of times she jogs around it.
Calculating the Perimeter:
The perimeter P of a rectangle is given by P = 2(length + width). In this case:
Length (L) = 100 yardsWidth (W) = 65 yardsSo the perimeter of the soccer field is:
P = 2(100 yards + 65 yards) = 2(165 yards) = 330 yards.
Total Distance Jogged:
Since Allyson jogs around the field twice, the total distance she will jog is:
Total Distance = Perimeter × Number of Laps = 330 yards × 2 = 660 yards.
Therefore, Allyson will jog a total distance of 660 yards.
Match the angle measures with the value of x in each triangle. i!mages below!
145°
33°
46°
124°
60°
Step-by-step explanation:
left side X°=33(i.e 75+72+x=180)
left side down x°= 60°
right side=145°
right side down= 124
For PLATO Users here is the correct matching
Name all segments parallel to GH.
All the segments that are parallel to GH in the given shape are, BC, AD and FI. Option A
How to identify all segments parallel to GH
To identify all segments parallel to GH, understand the basic structure of a cuboid and its faces.
A cuboid is a three-dimensional shape with six rectangular faces. Each face of the cuboid is parallel to the opposite face. This property allows us to identify segments that are parallel to each other within the cuboid.
To identify segments parallel to a specific segment in a cuboid, follow these steps:
Understand the orientation of the cuboid:
Visualize the cuboid and identify its three pairs of opposite faces. These faces are parallel to each other.
Identify the given segment:
Determine the specific segment in the cuboid to which you want to find parallel segments.
In this case GH
Locate the faces that contain the given segment:
Identify the faces that contain the given segment. These faces will be parallel to each other.
Based on the highlighted steps above, by visualization,
Segment BC is parallel to GH
Segment AD is parallel to GH
Segment FI is parallel to GH
Therefore, all the segments that are parallel to GH are, BC, AD and FI. Option A
1Which extegory do both shapes belong to?
#5 If the diameter of a circle is 3 inches, what is the circumference to the nearest tenth? *
Answer:
9.4 inches
Step-by-step explanation:
The formula for circumference is πd
Since the diameter is 3 inches, multiply that by pi to get your answer
3π ≈ 9.4 inches
Which measure of center should you use to describe two data sets that are both symmetric?
Answer:
im pretty sure its median
Step-by-step explanation:
Mean and median can be used to describe two data sets that are both symmetric.
What is Outlier?An observation that differs abnormally from other values in a population-based random sample is referred to as an outlier. In a way, this definition defers to the analyst's (or a consensus process') judgement as to what constitutes aberrant behaviour.
Given:
Two symmetric data sets are described by the following measure of centre:
The mean and median are two numerical measures of centre that, if the distribution is symmetric, can determine the centre as the average value; otherwise, the median can be employed because it is not robust against outliers.
For example : Height of 3 students in 70, 72, 74
Mean of students= (70 +72+ 74)/ 3 = 72
and, median = 72
Hence, mean and median can be used.
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Eighty percent of all dentists surveyed agree: Zilch toothpaste tastes best.
Percent of Dentists Surveyed
Disagree
Do you think this information is misleading? Why or why not?
a. Yes, because it does not state how many dentists were surveyed.
b. Yes, because it does not state on the graph what percentage agrees with the statement.
C. No, because the graph shows eighty percent of the dentists agreeing with the statement.
No herause it states which toothnaste was used in the survey
Answer: the answer is gonna be A if you want to be exact
Step-by-step explanation: does not state how many dentist were interviewed.
Use the distributive property to write an equivalent expression:
Example: 24n + 32 = 4 (6n+ 8)
(Look at the first expression. What factor goes into BOTH 24 and 32? (4 does!) So the number 4 goes on the outside of the parenthesis. 4 times what number will give me 24? (6 Does!). Then we do the same for 32...4 times what number gives me 32? (8 does!). Do you see the pattern? This means that both of these expressions are EQUIVALENT!
48x + 24
18n + 36
15 + 12k
Answer:
1. 48x + 24= 24(2x + 1)
2. 18n + 36= 18(n + 2)
3. 15 + 12k= 3(5+4k)
Step-by-step explanation:
1. What factor both goes into 24 and 48? 24 does!
so, 48x + 24= 24(2x + 1).
2. What factor both goes into 18 and 36? 18 does!
so, 18n + 36= 18(n + 2).
3. What factor both goes into 15 and 12? 3 does!
so, 15 + 12k= 3(5+4k).
Final answer:
The distributive property allows us to create equivalent expressions by factoring out a common factor from each term, resulting in expressions like 24(2x + 1), 18(n + 2), and 3(5 + 4k) for 48x + 24, 18n + 36, and 15 + 12k respectively.
Explanation:
To use the distributive property to write equivalent expressions for each of the following:
48x + 24: Both terms are divisible by 24. Therefore, the equivalent expression using the distributive property is 24(2x + 1).
18n + 36: Both terms are divisible by 18. Therefore, the equivalent expression using the distributive property is 18(n + 2).
15 + 12k: Both terms are divisible by 3. Therefore, the equivalent expression using the distributive property is 3(5 + 4k).
In each case, identifying the common factor and using it to factor out the original expression creates an equivalent expression where the terms inside the parenthesis are the results of dividing the original terms by the common factor.
A geologist has 10 rocks of equal weight. If 6 rocks and a 10-ounce weight balance on a scale with 4 rocks and a 22-ounce weight , what is the weight of one of these rocks in ounces ?
Weight of each rock is 14.8 ounces.
Step-by-step explanation:
Given,
Total number of rocks = 10
6 rocks weigh 10 ounce each
4 rocks weigh 22 ounce each.
To find the the weight of each rock.
Now,
Weight of 6 rocks = 10×6 ounces = 60 ounces
Weight of 4 rocks = 22×4 ounces = 88 ounces
So,
Weight of 10 rocks = 88+60 = 148 ounces
Hence,
Weight of each rock = 148÷10 = 14.8 ounces.
Answer: 6 oz.
Step-by-step explanation:
Just did it.
Can you simplify 7 (2x -3)
Answer:
simplification of the equation is:
14x-21
What scale factor did Salome use to go from Triangle R to Triangle T?
Answer:is there a picture included in this promblem
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
The circumference of a circle is 60 kilometers. What is its radius?
Answer: 9.5493
Step-by-step explanation: circumference = 2pi*r
Answer:
9.55 simplified
The segment JK has coordinates at point J(1, 4) and point K(-6, -8). The segment DE has coordinates at point D(3, 3) and point E(-4, -9). Is segment JK congruent to segment DE? Explain why.
Segment JK is congruent to segment DE because they have the same length.
Explanation:To determine if segment JK is congruent to segment DE, we need to compare their lengths. We can use the distance formula to find the length of each segment.
For segment JK, the coordinates are J(1, 4) and K(-6, -8). Using the distance formula, we have:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
= sqrt((-6 - 1)^2 + (-8 - 4)^2)
= sqrt((-7)^2 + (-12)^2)
= sqrt(49 + 144)
= sqrt(193)
For segment DE, the coordinates are D(3, 3) and E(-4, -9). Using the distance formula, we have:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
= sqrt((-4 - 3)^2 + (-9 - 3)^2)
= sqrt((-7)^2 + (-12)^2)
= sqrt(49 + 144)
= sqrt(193)
Since the lengths of segment JK and segment DE are both sqrt(193), they are congruent.
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The volume of a cube is 64 inches cubed what is the measure of each side of the cube please help ASAP
Answer:
4
Step-by-step explanation:
a≈4
What is the probability that you will get a 3-digit combination correct if no digits in the combination can be repeated?
110
1504
1720
MERT QUESTION
ASK FOR HELP
TURN IT IN
Answer:
i believe its 1/6
Step-by-step explanation:
The probability of guessing a 3-digit combination correctly, with no repetition, is 1 out of 720 option C.
To calculate the probability of getting a 3-digit combination correct where no digits can be repeated, you can use the concept of permutations.
For the first digit, you have 10 options (0 through 9). For the second digit, since no digit can be repeated, you have 9 options left. For the third digit, you have 8 options left.
So the total number of possible combinations is [tex]\(10 \times 9 \times 8 = 720\).[/tex]
Therefore, the probability of getting the correct combination is:
[tex]\[\frac{1}{720}\][/tex]
So, the correct answer is option C) 1/720.
Complete Question:
What is the probability that you will get a 3-digit combination correct if no digits in the combination can be repeated?
A) 1/10
B) 1/504
C) 1/720
Combine the like terms to create an equivalent expression: -4q - (-8q) + 10
Like terms are terms that have the same variable and power/exponent.
-4q - (-8q) + 10 (two negative signs cancel each other out and become positive)
-4q + 8q + 10 The only like terms you can combine are -4q and 8q, because they have the same variable of q and an exponent of 1.
4q + 10 (this is as far as you can simplify)
Multiply and simplify
Answer: The answer you clicked on in the picture is correct, (B)
Step-by-step explanation: I put the equation through a thing I know of (faMATHWAce) and got that as the answer.
The area of a rectangle is 84 square inches. Its length and width are both whole numbers.
31. What is the minimum perimeter of the rectangle?!
32. What is the maximum perimeter of the rectangle?
31. the minimum perimeter of the rectangle is ( 38 ) inches.
32.the maximum perimeter is ( 170 ) inches.
To find the minimum and maximum perimeter of the rectangle, we need to consider all possible combinations of length and width that yield an area of 84 square inches.
Given that the area of the rectangle is 84 square inches, we can find all the pairs of factors of 84. These pairs will represent the possible combinations of length and width.
The pairs of factors of 84 are:
1. [tex]\( 1 \times 84 \)[/tex]
2. [tex]\( 2 \times 42 \)[/tex]
3. [tex]\( 3 \times 28 \)[/tex]
4. [tex]\( 4 \times 21 \)[/tex]
5. [tex]\( 6 \times 14 \)[/tex]
6. [tex]\( 7 \times 12 \)[/tex]
Now, we calculate the perimeter for each pair:
1. [tex]\( \text{Perimeter} = 2 \times (1 + 84) = 2 \times 85 = 170 \)[/tex]
2. [tex]\( \text{Perimeter} = 2 \times (2 + 42) = 2 \times 44 = 88 \)[/tex]
3. [tex]\( \text{Perimeter} = 2 \times (3 + 28) = 2 \times 31 = 62 \)[/tex]
4.[tex]\( \text{Perimeter} = 2 \times (4 + 21) = 2 \times 25 = 50 \)[/tex]
5.[tex]\( \text{Perimeter} = 2 \times (6 + 14) = 2 \times 20 = 40 \)[/tex]
6.[tex]\( \text{Perimeter} = 2 \times (7 + 12) = 2 \times 19 = 38 \)[/tex]
Therefore, the minimum perimeter of the rectangle is ( 38 ) inches, and the maximum perimeter is ( 170 ) inches.
What is the equation of the line through the origin and (2,5)
Answer:
y = 5/2 x
Step-by-step explanation:
First we need to find the slope
m = (y2-y1)/(x2-x1)
= (5-0)/(2-0)
= 5/2
We know the y intercept is 0 since it goes through the origin
y = mx+b
y = 5/2 x +0
y = 5/2 x
The circumference of a circle is 9 m what is the area of the circle
Answer:
so maybe the answer will be 20.25m^
Find the circumference of both circles. Use 3.14 for pi
Answer:
Larger Circle:Radius: 12 in.
Circumference =
[tex]2\pi \: r[/tex]
= 2 x 3.14 x 12
= 75.36 in.
Smaller Circle:Radius: (12 - 4) in. = 8 in.
Circumference = 2 x 3.14 x 8
= 50.24 in.
Pls help i am so confused
Answer:
A 13
Step-by-step explanation:
8 families own 2 pets
4 families own 3 pets
1 family owns 4 pets
8+4+1 = 13
13 families owns between 2 and 4 pets
Determine the coordinates of the corners of the rectangle to compute the area of the rectangle using the distance formula (round to
the nearest integer).
es )
A)
12 units
25 units?
30 units?
Answer:
25
use the formula for hypotenouse of a triangle to find the diangles as if they were the hypotenouse so 5 squared plus 10 squared is 25 plus 100 which is 125 which has the square root 11.2. so now you have the length (longer side) so for the width it's 1 squared plus 2 squared which is 1 plus 4 is 5 so the square root of 5 is about 2.2 so that's the width (shorter side) so now for the area it's 11.2 (length) times 2.2 (width) which is about 25. hope this hopes let me know if you have a question
Answer:30
Step-by-step explanation:
Find the point slope equation for the line that passes through the points ( -2, -20 ) and (9, 79). Use the first point in your equation y+ =
The point-slope equation for the line passing through (-2, -20) and (9, 79), is y = 9x - 2.
To find the point-slope equation for the line that passes through the points (-2, -20) and (9, 79), we first need to calculate the slope (m). The formula for the slope is given by:
m = (Y2 - Y1) / (X2 - X1)
Using the given points, we get:
m = (79 - (-20)) / (9 - (-2)) = 99 / 11 = 9
Now, using the point-slope form of the equation y - y1 = m(x - x1), and the first point (-2, -20), we have:
y - (-20) = 9(x - (-2))
Simplifying this, we get:
y + 20 = 9(x + 2)
Or
y = 9x + 18 - 20
y = 9x - 2
This is the point-slope equation for the line that passes through the points.
9/(70X-10) =1/(70x-10)
a box in the shape of a rectangular prism has the dimensions shown. what length of the interior diagonal of the box? round to the nearest tenth.
100 cm
80 cm
60 cm
Answer:
I keep getting 141.421... so rounded it would be 141.4
Step-by-step explanation:
The length of the interior diagonal of the box is approximately 141.4 cm.
How to find the volume and base's area of a right rectangular prism?Suppose the base of the prism has length = l units, and width = w units.
Suppose that the height of the prism is of h units, then:
[tex]v = \dfrac{l \times w \times h}{3} \: \rm unit^3[/tex]
is the volume of that prism.
The base is a rectangle with length = L units, and width = W units, so its area is:
[tex]b = l \times w\: \rm unit^2[/tex]
We are given that;
Height= 100cm
Width=80cm
Length=60cm
Now,
Using the Pythagorean theorem, we can find the length of the interior diagonal as:
diagonal = sqrt(l^2 + w^2 + h^2)
diagonal = sqrt(100^2 + 80^2 + 60^2)
diagonal = sqrt(10000 + 6400 + 3600)
diagonal = sqrt(20000)
diagonal ≈ 141.4
Therefore, the length of the diagonal of prism will be 141.4
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Using a scale of 2in: 45 miles
The distance between Troy City and Ben City is 315 miles. How far apart are they on the map? (numerical answer)
set Up a ratio:
2 inches / 45 miles = x inches / 315 miles
Solve for x
Cross multiply:
45x = 630
Divide both sides by 45
X = 630 /45
X = 14 inches apart
A company manufactures handband a wirleless
Answer:
1. 21 represents the cost of manufacturing one handband.
3. The initial start up cost is $15000.
5. The company spends $57000 to manufacture 2000 handbands.
Step-by-step explanation:
We are given the cost function for manufacturing 'h' amount of handbands and it is provided that there was initial start up costs involved.
Now, as the cost function is given by, C(h) = 21h + 15000.
We can see that the initial start up cost is $15000.
As, 'h' is the number of handbands being made. So, 21h in C(h) is the cost of manufacturing 'h' handbands.
Therefore, 21 is the cost of manufacturing one handband.
Since, C(h) = 21h + 15000.
Substituting h = 2000, we get,
C(2000) = 21×2000 + 15000.
i.e. C(2000) = 42000 + 15000.
i.e. C(2000) = 57000.
The company spends $57000 to manufacture 2000 handbands.
Since, we are provided with only cost function, we can not talk about the profit.
Hence, option 1, 3 and 5 are correct.
PLEASE MARK ME BRAINLIST!
Answer:
1. 21 represents the cost of manufacturing one handband.
3. The initial start up cost is $15000.
5. The company spends $57000 to manufacture 2000 handbands.
Step-by-step explanation: