Answer:
Step-by-step explanation:
a. Find the unit rate, or how many miles they traveled in one hour, by dividing:
[tex]\frac{392}{7}=56 mph[/tex]
b. Now that we know how fast they were going, we can use it in either a proportion or in the d = rt equation. For the proportion set up, put miles on the top and hours on the bottom and solve for the unknown:
[tex]\frac{mi.}{hr}:\frac{56}{1}=\frac{728}{x}[/tex] and cross multiply to solve for x:
56x = 728 so
13 hours.
Now use the d = rt equation:
728 = 56t so
t = 13 hours
The five-number summary for a data set is given by min = 5, Q1 = 18, median = 20, Q3 = 40, max = 75. If you wanted to construct a boxplot for the data set (that is, one that would show outliers, if any existed), what would be the maximum possible length of the right-side "whisker"? * 2 points 53 35 55 33 45
Answer:
33
Step-by-step explanation:
Values beyond the whiskers of the boxplot are called the outliers :
For a right side Outlier :
Values > Q3 ± 1.5(IQR) ;
IQR = Q3 - Q1)
From the data given:
IQR = (40 - 18) = 22
Hence ; the maximum value of right side whisker will be :
1.5(22) = 33
The maximum possible length of the right-side "whisker" is 33
The given parameters are:
Min = 15Q1 = 18Median = 20Q3 = 40Max = 75Start by calculating the interquartile range (IQR) using:
[tex]IQR = Q3 -Q1[/tex]
So, we have
[tex]IQR = 40 - 18[/tex]
[tex]IQR = 22[/tex]
The maximum possible length of the right side whisker is then calculated as:
[tex]L = 1.5 \times IQR[/tex]
This gives
[tex]L = 1.5 \times 22[/tex]
Multiply 1.5 by 22
[tex]L = 33[/tex]
Hence, the maximum possible length of the right-side "whisker" is 33
Read more about box and whisker plots at:
https://brainly.com/question/3293067
pls help me! i’m really confuse on how to tackle this problem (no links)
Answer:
Step-by-step explanation:
www.564bdyjkthl
5x+3y=25 and 3x+4y=26 solve by substitution!
[tex]5x + 3y = 25 \\ 5x = 25 - 3y \\ x = \frac{25 - 3y}{5} \\ x = \frac{25}{5} - \frac{3y}{5} \\ x = 5 - \frac{3y}{5} \\ 3x + 4y = 26 \\ 3 (5 - \frac{3y}{5} ) + 4y = 26 \\ 15 + \frac{11y}{5} = 26 \\ \frac{11y}{5} = 26 - 15 \\ \frac{11y}{5} = 11 \\ \frac{5}{11} \times \frac{11y}{5} = 11 \times \frac{5}{11} \\ y = 5 \\ x = 5 - \frac{3y}{5} \\ x = 5 - \frac{3(5)}{5} \\ x = 2[/tex]
(x,y)—> (2,5)
3. What should be done to the following equation to get the variable on the left side only?
-3x + 6 = x - 4
a. Add 3x to both sides.
b. Add x to both sides.
C. Subtract 3x from both sides.
d. Subtract x from both sides.
e. Either a or b.
. Either cord.
Answer:
d. Subtract x from both sides.
Determine whether the relationship is a function or not. Explain why
why not!
Answer:
It is not a function because as seen through the mapping diagram, 14 is paired with more than one output. Hence, it is not a function because a function occurs when an input is paired with one, and only one output.
Step-by-step explanation:
hope this helps and is right. p.s i really need brainliest :)
help please i need it
Answer:
Around 140
Step-by-step explanation:
It's over 90 degree angle
The area of a parallelogram is 125 square inches and the height of the parallelogram is 10 inches. What is the lenght of the base of the parallelogram?
18.75 inches
25 inches
6.25 inches
12.5 inches
Answer:
12.5 inches is the correct answer.
Step-by-step explanation:
I can bet you with brainliest post if it is correct mark me brainliest and wrong then spam me(;
What are the solutions to the quadratic equation
6x2 + 24X = 0?
Answer:
[tex]x = 0 \: \text{or} \: x = - 4.[/tex]
Step-by-step explanation:
[tex]6 {x}^{2} + 24x = 0 \\ \text{then} \: 6x(x + 4) = 0 \\ \text{hence} \: x = 0 \: \text{or} \: x + 4 = 0 \\\text{therefore} \: x = 0 \: \text{or} \: x = - 4.[/tex]
What is the value of y in the diagram?
y
x
X-20
Answer:
x+x-20 = 180-90
2x-20 = 90
2x. =90+20
2x. =110
x. =55
y+55. =90
y. =90-55
y. =35
There are 20 music downloads in my phone. Eight of them are country and the rest are hip-hop. Find the ratio of country to hip-hop songs on my phone in simplest form.
Answer:
8:12
Step-by-step explanation:
you have 20 music downloads and you already told me that eight are country so you use 20 to minus eight and you get the number of hip-hop then you do the ratio which is 20 minus 8 is 12 ratio from country to hip hop is 8:12
6a and 6b are having a competition to see who can make the most money for Red Crescent. 6a make $2 for every $3 that 6b make. If 6a makes $30 profit how much will 6b make?
Answer:
45
Step-by-step explanation:
6a 6b
2 : 3
30 : x
30×3
2
=45
In the figure below, find the exact value of x. (Do not approximate your answer.)
3
Answer:
Step-by-step explanation:
use the idea of similar triangles.
6/3 = 3/x
2x = 3
x = 3/2
The diagram shows a campground in the shape of a right triangle. You walk along a path from the camp office
at point c to your campsite at point D on a path that bisects the right angle C. Determine how far you are from
the picnic area at Point A to the nearest tenth of a meter.
permudahkan. 1. 3/4m (4m+16n) +m/n.
3/4m(4m+16n) + m/n open the bracket of equation,
3/4m(4m+16n) + m/n = 3+ 12n/m + m/n
now multiply and devide by mn on RHS,
3/4m(4m+16n) + m/n = (3mn+12n²+m²)/mn
What is the answer?
It says i should put it in the order and which one comes first
Answer:
B. -11
Step-by-step explanation:
ascending order means least to greatest.
-10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7,...
3, -1, [tex]\sqrt{5}[/tex], 13, -11
-11 is the least number because it is the greatest negative number
Find the center and radius of a circle with the equation x² + y2 +6x–8y +16= 0.
a. (-3, 4);r=3
b. (3,-4);r=3
c. (-3, 4);r=9
d. (3,-4);r=9
5. Find the area of the composite figure *
Answer:
187.5 ft²
Step-by-step explanation:
15 x 15 = 225
1/2(5 x 15) = 37.5
225 - 37.5 = 187.5
Answer:
the area is 187.5
Step-by-step explanation:
First we must split this figure into two, now we have a triangle on top of a rectangle (we know this is a rectangle because the length is longer than the width)
to find the area of a rectangle we must use the equation l*w=A so
15*10=150
Now that we have the area of the rectangle we must find the area of the triangle
We can see one side is longer, this shows us that the triangle is 5 units tall and 15 units long
the formula to find the area of a right triangle is ab/2=A
5*15/2=A
75/2=A
37.5=A
now we have both areas we add them together
37.5+150=187.5
187.5 is your answer
Help me with this please
Answer:
F'
Your answer is correct
Step-by-step explanation:
The image most of the time we will put ' prime on it to let the other know that this is the image
A closed rectangular box whose dimensions are 8 feet by 5 feet by 3 feet has some water in it. When the box is resting on its smallest face, the water is 5 feet deep. How deep will the water be if the box is resting on its largest face? Explain your reasoning.
Answer:
i, 1.875 ft
ii. Since the volume of water is the same when resting on either the smallest or largest face, we we equate the expression for their volume and solve for the depth of water when the closed rectangular box is resting on its largest face.
Step-by-step explanation:
i. How deep will the water be if the box is resting on its largest face?
Since the smallest face is 5 feet by 3 feet (since they are the smallest dimensions), the volume of the 5 feet deep water is V = Ah where A = area of smallest face and h = depth of water.
V = Ah = 5 ft × 3 ft × 5 ft = 75 ft³
This is also the volume of the water when it is resting on its largest face.
Since the dimensions of the largest face are 8 feet by 5 feet (since they are the largest dimensions), then V = A'h' where A' = area of largest face and h' = depth of water when rectangular box is resting on its largest face
So, h' = V/A'
= 75 ft³/ (8 ft × 5 ft)
= 15/8 ft
= 1.875 ft
ii, Explain your reasoning.
Since the volume of the water in the closed rectangular box is always the same, which ever side we turn it to, its volume V = area of face × height. If we write this expression for both the smallest and largest face and equate them, we solve for the depth of the water when it is resting on its largest face, since, we already know the depth of water when it is resting on its smallest face.
Amy buys eight apples that each weigh 150 grams. She notices that they are on sale for $3.00 per kilogram, how much will the apples cost? Prove your thinking.
Answer:
$3.60
Step-by-step explanation:
8 apples × 150 grams
1200 grams
1 kilogram = 1000 grams
x. = 1200 grams
X = 1.2 kg
1kg = $3.00
1.2kg =$3.6
The cost of 8 apples that have weight 1.2 kilograms is,
⇒ $3.60
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Amy buys eight apples that each weigh 150 grams.
And, She notices that they are on sale for $3.00 per kilogram.
Now,
Total weight of the apples is,
⇒ 8 × 150 grams
⇒ 1200 grams
⇒ 1.2 kilograms
Since, She notices that they are on sale for $3.00 per kilogram.
Hence, The cost of 8 apples that have weight 1.2 kilograms is,
⇒ $3.00 × 1.2
⇒ $3.60
Thus, The cost of 8 apples that have weight 1.2 kilograms is,
⇒ $3.60
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ3
G
100%
Calculate the area of the parallelogram, in mề.
40 m
15 m
25 m
10 m
30 m
A. 250 m2
B. 450 m2
OC. 600 m²
OD. 900 m²
O E. 1000 m
Answer:
C. 600 m²
Step-by-step explanation:
A parallelogram is a quadrilateral (has four sides and four angles) with two pairs of parallel sides. Opposite sides and angles of a parallelogram are equal to each other. Also, the diagonals are equal.
The area of a parallelogram is the product of its base and its height. It is given by the formula:
Area = base * height
We can see that for this parallelogram, the height = 15 m, the base = 40 m, hence:
Area = base * height = 40 m * 15 m = 600 m²
If $36.25 in tax is added to the price of an item, what was the original price in dollars of the item?
$400
$500
$483.33
$600
Classify the triangle by its angle measures.
Answer:
d) Acute
Step-by-step explanation:
if all three angle measures are less than 90 degrees, the triangle is acute
Rewrite 7 x 7 x 7 x 7 x 7 using an exponent math
Answer:
7^5 (7 to the fifth power)
Step-by-step explanation:
those sevens can be represented by 7^5 because there are five sevens to multiply together
you can check the answer by doing 7 x 7 x 7 x 7 x 7=16807
and making sure that 7^5 is also equal to 16807, which it is.
Hope this helps! :)
2hours to 1day as a ratio in its simplest form
Answer:
Step-by-step explanation:
convert 1 day into hours
1 day=24 hour
2/24
=1/12
1 day = 24 hours
So,
2 hours : 1 day2 hours : 24 hours1 : 12PLS HELP ILL MARK AS BRAINLIST AND FOLLOW U
Answer:
[tex]31\:\text{square units}[/tex]
Step-by-step explanation:
We can break the composite figure into two triangles and two trapezoids. The area of a triangle is given by [tex]A=\frac{1}{2}bh[/tex] and the area of a trapezoid is given by [tex]A=\frac{b_1+b_2}{2}\cdot h[/tex] (average of the bases multiplied by the height).
Area of first triangle (larger triangle to the figure's left): [tex]\frac{1}{2}\cdot 4\cdot 4=8[/tex]
Area of second triangle (smaller triangle to the figure's right ): [tex]\frac{1}{2}\cdot 2\cdot 5=5[/tex]
Area of first trapezoid (smaller trapezoid directly underneath second triangle and adjacent to both triangles): [tex]4\cdot 2 =8[/tex]
Area of first triangle (larger triangle to the figure's left): [tex]5\cdot 2=10[/tex]
Thus, the area of the entire figure is:
[tex]8+5+8+10=\boxed{31\:\mathrm{units^2}}[/tex]
A map using a scale of 1 inch:5 miles shows a section of land with an area of 3.2 inches what is the actual area of the section of the land
Answer:
16 miles
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
Actual area = 3.2 x 5 = 16 miles
Write the equation of the line that is parallel to y =- 2x + 5 and goes through the point (2, -3)
Answer:
y = -2x + 1
Step-by-step explanation:
Parallel lines are two lines that have the same plane and slope but never intersect.
38 3 If p - q is true, thenq - p is false.
Answer:
yess it is by the benefactor
Step-by-step explanation:
An article is bought for Rs 8600 and is sold at a profit of 20 %. Find its selling price.
Selling price = 8600 + Profit
Selling price = 8600 + ( 8600 × 20/100 )
Selling price = 8600 + ( 86 × 20 )
Selling price = 8600 + 1720
Selling price = Rs 10,320