Answer:
To use proportions to solve ratio word problems, we need to follow these steps:
Identify the known ratio and the unknown ratio.
Set up the proportion.
Cross-multiply and solve.
Check the answer by plugging the result into the unknown ratio.
Step-by-step explanation:
Name the values represented by the box plot.
Lower quartile:
Upper quartile:
Median:
Answer:
Lower quartile=46
Upper Quartile=52
Median=48
Step-by-step explanation:
Look at the three dots on/in the plot the first one is the lower quartile and the middle is the median and the last one in the box plot (52)is the upper quartile, the ones on the outsides are the minimum and the maximum.
Find the 43rd term of each sequence.
1. 21,12,9,3,...
Answer:
-231
Step-by-step explanation:
21, 12, 9, 3,...
Below is image
Answer:
-357
Step-by-step explanation:
a + (n-1)d
21+(42)(-9)
21-378
Melanie's bedroom floor has length equal to 6x + 5 and width equal to 9x – 2 points
4. What equation represents the area of the floor?
Answer:
(6x+5)(9x-2)
Step-by-step explanation:
Area = Length x Width
Answer:
54[tex]x^{2}[/tex] +33x - 10
Step-by-step explanation:
you have to use F.O.I.L. First Outter Inner Last
(6x + 5)(9x - 2)
First (6x)(9x) = 54 [tex]x^{2}[/tex]
Outter (6x)(-2) = -12x
Inner (5)(9x) = 45 x
Last (5)(-2) = -10
combine middle terms
54[tex]x^{2}[/tex] +33x - 10
-1 3/7 • (-3 2/5)
Find the product simplify if possible
Answer:
6 4/5
Step-by-step explanation:
-1 3/7 • (-3 2/5)
Let's turn them both into fractions with no whole numbers to make this easier:
-10/7 • -17/5
Now we can multiply straight across much easier!
170/35 (the negatives canceled each other out)
34/5 (simplified)
6 4/5 (answer)
Hope this helps! Please mark Brainliest :)
help pls!!!!!!!!!!!!
Answer:
w=9z
Step-by-step explanation:
For each z value, w is 9 times that. For instance, 18 is 9 times 2, and 45 is 9 times 5. Therefore, the equation that would describe this is w=9z. Hope this helps!
Answer:
z = (1/9) w or w = 9z
Step-by-step explanation:
w = 18 , z = 2
if relationship is proportional than z = k (constant) *w
2 = k * 18 divide each side by 18
k = 2/18 = 1/9
Tomas selects one of these garments at random. Let AAA be the event that he selects a blue garment and let BBB be the event that he chooses a shirt.
Please help!!!
Answer:
can u explain it more lol
Step-by-step explanation:
1)The probability of choosing a blue garment is 1/2
2)The probability of choosing a shirt is 1/3.
Thomas has 1 blue shirt
Thomas has 1 green shirt
Thomas has 1 blue hat
Thomas has 1 green scarf
Thomas has 1 blue pair of pants
Thomas has 1 green pair of pants
So, number of blue garments = 3
Number of shirts = 2
Total garments =6
What is probability?Probability is the measure of the likelihood of an occurrence.
P(event) = Favorable outcomes / Total outcomes
P(blue garment) = 3/6 =1/2
P(shirt) = 2/6 =1/3
Hence, 1)The probability of choosing a blue garment is 1/2
2)The probability of choosing a shirt is 1/3.
To get more about probability visit:
https://brainly.com/question/24756209
Use the Counting Principle to find the probability.
rolling a 1 on each of 4 number cubes?
Answer:
1 / 1296
Step-by-step explanation:
Rolling a 1 for one of the cubes is 1 / 6
1 / 6 * 1 / 6 * 1 / 6 * 1 / 6 = 1 / 1296
Answer:
1 / 1296
Step-by-step explanation:
We have been given that three cubes are being rolled and we are required to find the probability of getting 4 on 1 cubes.
We know the probability of rolling a 4 on one cube will be . the probability of rolling 4 in each of the individual cubes will be .
But we want 4 to be rolled on 1 cubes at once, in order for that to happen, we need to get a four on first cube AND second cube AND third cube. Since there is AND between the events, we will multiplied their probabilities as per counting principle. Thus, the required probability of rolling 4 on each of the 1 cube is which simplifies to . 1 / 1296
Hope this helps
Asphere and a cylinder have the same radius and height. The volume of the cylinder is 64 m3.
hl
.
Answer:
r=21.3 h=32
Step-by-step explanation:
Please help me as soon as possible!
Find the value of x and y. WILL MARK BRAINLIEST
Answer:
y = 15
x = 30
Step-by-step explanation:
Answer:
y = 15
x = 30
Step-by-step explanation:
Since adjacent are equal, that means all 4 angles are equal to 90 degrees
6y = 90
Divide by 6
6y/6 = 90/6
y = 15
3x = 90
Divide by 3
3x/3 = 90/3
x = 30
If a cube has a volume of 27mm3,
what is the length of one side?
Answer:
Step-by-step explanation:
Answer:
9mm
Step-by-step explanation:
since volume is l x w x h, you have to divide 27 by 3. you can do this because it is a cube
Please, someone, help me quickly!!
Answer:
(B)
Step-by-step explanation:
The value of 9 is more than the value than 4.
Therefore,
9 > 4.
4 is not greater than 9, and nine is not less than four.
Brainilest Appreciated!
Simplify the expression
Answer:
x^(3)y^(4)\sqrt(2)
Step-by-step explanation:
a box measures 1/3 ft.long, 1/4 ft. wide, and 1/6 ft. high. find the volume of the box in inches. do not incluye units in your answer
Answer:
23 in
Step-by-step explanation:
Convert the stuff they gave you to inches 4*3*2= 23
then use the volume formula
i hope this helped <33
The frequency table represents the results of a survey comparing the average age of household members to the way that they watch non-network television. A 4-column table with 3 rows titled Television Viewing Method. The first column has no label with entries internet, cable, total. The second column is labeled average household age under 40 with entries 54, 81, 135. the third column is labeled average household age 40 or older with entries 23, 92, 115. the fourth column is labeled total with entries 77, 173, 250. Madigan converts the frequency table to a conditional relative frequency table by row. Television Viewing Method A 4-column table with 3 rows titled Television Viewing Method. The first column has no label with entries internet, cable, total. The second column is labeled average household age under 40 with entries W, Y, 0.54. The third column is labeled average household age 40 or older with entries X, Z, 0.46. The fourth column is labeled total with entries 1.0, 1.0, 1.0. Which value should she use for X? Round to the nearest hundredth. 0.09 0.20 0.25 0.30
Answer:
For X they would have to divide the number from the first given chart for average household of the people that are ages 40 or under, which is 23, by the total internet, which is now 77.
Therefore, X = 23/77 = 0.2987, which would round to 0.30
Mark as brainliest please, I need a few more :)
Answer:
.30
Step-by-step explanation:
< 40 > 40 total
internet 54 23 77
cable 81 92 173
total 135 115 250
< 40 > 40 total
internet w x 1
cable y z 1
total .54 .46 1
x is 23 /77 =.29870
A running track is 1/4 of a kilometre. What is the
total distance a runner travels if he goes three
times round the track?
How many times would you have to go round the
track to run 2 kilometres?
Willow has read 1/7 of the books in the library.
Answer:
If a runner went around the track 3 times, he would have ran 3/4 of a kilometre. He would have to run around the track 8 times to run 2 kilometres.
Step-by-step explanation:
Answer:He would have to go around the track 8 times to get 2 kilometers
Step-by -step explanation:
polynomial division
(4x^2 +7x +6) ÷(x+ 2)
Answer:
4x2 + 7x - 6
————————————
x - 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
There are many methods but I give you the factorisation:
[tex]4x^{2} +7x+6= 4x^{2} + 8x - x - 2 +8= (4x^{2} + 8x )- (x + 2) +8\\= 4x(x+2)-(x+2) -8\\=(x+2)(4x-1) +8[/tex]
So
[tex]\frac{4x^{2} +7x+6}{x+2}=\frac{(x+2)(4x-1)+8}{x+2} =\frac{(x+2)(4x-1)}{x+2}+\frac{8}{x+2}\\ \\=4x-1 +\frac{8}{x+2}[/tex]
That means the quotient is 4x-1 and the remainder is 8.
What is the slope of the line that passes through the points (3, 4) and (0,–2)?
Write your answer in simplest form.
Answer:
Slope = 1/2
Whole equation: y = 1/2x - 2
Step-by-step explanation:
Equation: y = mx + b
(3 , 4) and (0 , -2)
[tex]\frac{0 - 3}{-2 - 4} = \frac{-3}{-6} = \frac{1}{2}[/tex]
y = 1/2x + b
---------------------------------------------------------------------------------------------
-2 = 1/2(0) + b
-2 = b
Ben makes $39,600 a year. What the maximum amount he can afford for a mortgage each month ?
Answer:825
Step-by-step explanation:
Factor out the Greatest Common Monomial Factor 8a + 86
Answer:
-1.12044185014
Step-by-step explanation:
i think this is the answer. i looked it up.
Answer:
2(4a + 43)
Step-by-step explanation:
8a + 86
2(4a + 43)
Solve for x.
x + 23 = -22
Enter your answer in the box.
Answer:
X= -45
Step-by-step explanation:
Subract 23 from both sides to solve for x.
Answer:
x = -45
Step-by-step explanation:
x + 23 = -22
x = -22-23
x = -45
Please help me out! i have a few more of these questions, about 5
Answer: You could plot the points (0,-2) ( 1,0) ( 2,2) (3,4) ( 4,6) (5,8) ( -1,-4) (-2.-6)
Step-by-step explanation:
y= 2x - 2
x y
0 -2
1 0
2 2
3 4
4 6
5 8
-1 -4
-2 -6
What is the slope line through (-5,-10) and (-1,5)
Answer:
5
Step-by-step explanation:
6% of x = 1.2; what is x
Answer:
x =20
Step-by-step explanation:
6% of x = 1.2
Change percent to decimal form
.06x = 1.2
Divide each side by .06
.06x / .06 = 1.2/.06
x =20
What is the point-slope form of a line with slope -3 that contains the point
(10,-1)?
A. y+ 1 = 3(x + 10)
B. x + 1 = -3(y-10)
C. y + 1 = -3(x-10)
D. y + 1 = 3(x-10)
Answer:
C
Step-by-step explanation:
Since we have a point and a slope, we can use the point slope formula.
The point slope formula is:
[tex]y-y_{1} =m(x-x_{1})[/tex]
where m is the slope, and (x1, y1) is the point given.
We know that the slope is -3, and the point given is (10, -1)
Therefore, our m is -3, x1 is 10, and y1 is -1.
y- -1 = -3(x-10)
y--1 is the same as y+1
y+1= -3(x-10)
Therefore, choice C is correct.
What is the volume of the right cone below?
Answer:
The answer is A.
Step-by-step explanation:
You have to use the formula of volume of cone,
[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
Given that the diameter of cone is 10 units so the radius is 5. Then substitute the followung values into the formula :
Let r = 5 units,
Let h = 45 units,
[tex]v = \frac{1}{3} \times \pi \times {5}^{2} \times 45[/tex]
[tex]v = \frac{1}{3} \times \pi \times 1125[/tex]
[tex]v = 375\pi \: \: {units}^{3} [/tex]
Answer:
[tex]375\pi \: \: units ^{3} [/tex]
Answer A is correct.Step-by-step explanation:
[tex]v = \pi {r}^{2} \frac{h}{3} \\ =\pi \times 5 \times 5 \times \frac{45}{3} \\ = \pi \times 25 \times 15 \\ = 375\pi \: \: units ^{3} [/tex]
If A = (0,0) and B = (6,3), what is the length of AB?
O A. 6.24 units
O B. 7.73 units
O C. 5.20 units
O D. 6.71 units
Answer:
D. 6.71 units
Step-by-step explanation:
In order to solve this, we need to use the distance formula, which states that for two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]:
d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Here, we have (0, 0) and (6, 3), so:
d = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
d = [tex]\sqrt{(3-0)^2+(6-0)^2}=\sqrt{9+36} =\sqrt{45} =3\sqrt{5}[/tex] ≈ 6.71
The answer is thus D.
Answer:
D 6.71 units
Step-by-step explanation:
AB² = (6 - 0)² + (3 - 0)²
AB² = 36 + 9
AB² = 45
AB = 3sqrt(5)
Approximately 6.71
Select the table that represents a linear function.
Answer:
D
Step-by-step explanation:
A linear function has a constant slope. Meaning that for any equal change in x, there will be an equal change in y.
A letter L with a height of 9 inches is drawn on the actual flag. What should be the height and inches of a letter L in the scale drawing? Explain plzzz....
Answer:
0.5 inch on the drawing
Step-by-step explanation:
The following information is missing:
The scale factor of the drawing to the actual flag is represented by the ratio 1:18.
This scale factor means that 1 inch on the drawing are equivalent to 18 inches o n the actual flag. We want to know the height on the drawing, given that a height of 9 inches is drawn on the actual flag. The following proportion must be satisfied:
1 inch on the drawing / x inch on the drawing = 18 inches o n the actual flag / 9 inches o n the actual flag
x = 9/18 = 0.5 inch on the drawing
Please help me!! I don't get this question! I will mark Brainliest!
Circle A has a diameter of 4 inches, a circumference of 12.56 inches, and an area of 12.56 square inches. The diameter of circle B is 2 inches, the circumference is 6.28 inches, and the area is 3.14 square inches. SHOW ALL STEPS.
Part A: Using the formula for circumference, solve for the value of pi for each circle. (10 points)
Part B: Use the formula for area and solve for the value of pi for each circle. (10 points)
Part C: What observation can you make about the value of pi for circles A and B? (10 points)
Answer:
Part A:
Formula for circumference: C = diameter x pi
=> pi = C/diameter
=> pi(A) = 12.56/4 =3.14
=> pi(B) = 6.28/2 = 3.14
Part B:
Formula for area: A = radius^2 x pi = (diameter/2)^2 x pi
=> pi = A/(diameter/2)^2
=> pi(A) = 12.56/(4/2)^2 = 12.56/4 = 3.14
=> pi(B) = 3.14/(2/2)^2 = 3.14/1 = 3.14
Part C:
pi(A) = pi(B) = 3.14 in both ways of calculation derived from circumstance and area.
=> pi is a constant value: 3.14
Answer:
A) pi = 3.14
B) pi = 3.14
C) pi has the same value for all calculations, pi is a constant
Step-by-step explanation:
Circumference = pi × d
12.56 = 4 × pi
pi = 3.14
6.28 = 2 × pi
pi = 3.14
Area = pi × r²
12.56 = pi × (4/2)²
12.56 = 4pi
pi = 3.14
3.14 = pi × (2/2)²
3.14 = pi