Answer:
Joshua walked 48 feet in total.
Step-by-step explanation:
To find the total distance we need to sum every distance that he walked. We have:
- First: Joshua walked down the hall to the door = 14 feet
- Second: He continued in a straight line out the door and across the yard to the mailbox = 24 feet
- Third: He came straight back across the yard and stopped to pet his dog = 10 feet
Hence, the total distance is:
[tex] d_{T} = d_{1} + d_{2} + d_{3} = 14 ft + 24 ft + 10 ft = 48 ft [/tex]
Therefore, Joshua walked 48 feet in total.
I hope it helps you!
19th October, 2020
the diagram below is a plane figure made up
of a rectangle of sizes 50m by 28 m and an
equilateral of height 24 cm. A circle is cut-out
of the rectangle as shown. If the circle
touches the three sides of the rectangle Calculate
a) the perimeter of the figure
the remaining portion of the figure.
Answer:
Step-by-step explanation:
Equilateral Triangle:
Side of triangle = breadth of rectangle
= 28 cm
height = 24 cm
Area of triangle = [tex]\frac{1}{2}base * height\\\\[/tex]
= [tex]\frac{1}{2}*28*24[/tex]
= 28* 12
= 336 square cm
Rectangle:
length = 50 m
breadth = 28 m
Area of rectangle = length * breadth
= 28 * 50
= 1400 square cm
Diameter of circle = breadth of rectangle
d = 28 cm
r = 28/2 = 14 cm
Area of circle = πr²
[tex]= \frac{22}{7}*14*14\\\\= 22 * 2 * 14[/tex]
= 616 square cm
Area of the remaining portion = Area of rectangle - area of circle + area of triangle
= 1400 - 616 + 336
= 1120 square cm
Perimeter of the figure = 28 + 50 + 28 + 28 + 50
= 184 cm
Hint: Perimeter of the figure. three side of rectangle + two sides of triangle
PLEASE HELPPPP ITS A MULTIPLE CHOICE ANSWER !
Two maps are made of a park. The scale from the park to map A is 30 mi to 6 cm. The length of Great Oaks Trail is 4.5 cm on map A. The scale from the same park to map B is 24 mi to 3 cm. The length of Salamander Trail is 3.5 cm on map B. 1. What is the actual length (in miles) of Salamander Trail?
Answer:
The actual length of Salamander Trail is 28 miles
Step-by-step explanation:
Here, we want to calculate the actual length of salamander trail.
From the question, we are told that a a distance of 3cm on the map B is 24 miles in the park
So now, we have length of 3.5 cm and we want to calculate what is the actual length in miles
From the question on map B;
3 cm = 24 miles
so
3.5 cm = x miles
x * 3 = 24 * 3.5
x = (24 * 3.5)/3
x = 8 * 3.5 = 28 miles
2x + 3b = 156
5 = b + 8
Answer:
x = 29 , b = -3
Step-by-step explanation:
5 = b + 8
5 - 8 = b
-3 = b
b = -3
2x + 3b = 156
156 / 3 = 52
52 / 2 = 26
x + b = 26
26 + 3 = 29
x = 29
Suppose SAT Writing score are normally distributed a mean of 497 and a standard deviation of 114. A university plans to admit students whose scores are in the top 30% . What is the minimum score required for admission? Round your answer to the nearest whole number.
Answer:
The minimum score required for admission to the nearest whole number = 557
Step-by-step explanation:
We solve this using z score formula.
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Top 30% of the candidates is a ranking that is equivalent to = 100 - 30% = 70th percentile.
The z score of 70th percentile = 0.524
Mean = 497
Standard deviation of 114.
Minimum score = raw score = ???
Hence:
0.524 = x - 497/114
Cross Multiply
0.524 × 114 = x - 497
59.736 = x - 497
x = 59.736 + 497
x = 556.736
The minimum score required for admission to the nearest whole number = 557
NEED HELP PLZ! Will give brainliest, show all your work
PLSSS HELP ME I WILL MARK U!!!!!!!
Answer: am not 100% sure but shouldn't it be all if them?
Step-by-step explanation:
Answer:
Everything except 2
Step-by-step explanation:
Terms are separated by signs. 2 is the coefficient (number in front of a variable)
Brainliest to the correct answer ( Evaluate 7 - 5p + 3q when p = 1 and q = 7.)
Answer:
23
Step-by-step explanation:
7-5(1)+3(7)
7-5+21
2+21
23
Answer:
7-5+21 = 23
Step-by-step explanation:
7 - 5p+ 3q
7 - 5(1) + 3(7)
7 - 5 + 21
7 + 16
= 23 hope this helps :)
What is the value of x in the following equation? 5(x + 3) = 30x
Answer:
x= 3/5
Step-by-step explanation:
5(x+3)=30x
5x+15=30x
-5x -5x
15=25x
x= 3/5
Answer:
3/5
Step-by-step explanation:
5(x+3)= 30x [
or,
(5×x)+(5×3)= 30x
or,
5x+15= 30x
or,
5x+15-5x= 30x-5x [The result or root of the equation remains same . if we multiply, divide, add or subtract any . number from each side of the equation]
or,
15= 25x
or,
15/25= x
or,
3/5= x
So, the value of x is 3/5
I finished this question but I need someone to check it, thanks
Answer:
Looks good ✋
Step-by-step explanation:
Answer:
it is correct
Step-by-step explanation:
I got 5,432,113,209,876,532
A line has a slope of 2 and passes through the points (4,1) what is the equation in slope intercept form?
Answer:
y=2x-7
Step-by-step explanation:
Answer:
idk
Step-by-step explanation:
cuz
Olivia is making chocolate chip pancakes for breakfast. The recipe calls for 0.5 quart of milk and 2.5 cups of flour. When she checks her kitchen for ingredients she realizes she has 3 8 quart of milk and 18 8 cups of flour. Does she have the correct amount of milk and flour to make the pancakes from the recipe? Explain.
Given:
The recipe calls for 0.5 quart of milk and 2.5 cups of flour.
She has [tex]\dfrac{3}{8}[/tex] quart of milk and [tex]\dfrac{18}{8}[/tex] cups of flour.
To find:
Whether she have the correct amount of milk and flour to make the pancakes from the recipe.
Solution:
Required Milk = 0.5 quart
Milk she has = [tex]\dfrac{3}{8}=0.375[/tex] quarts
Clearly, 0.375 < 0.5.
Required Flour = 2.5 cups
Flour she has = [tex]\dfrac{18}{8}=2.25[/tex] cups
Clearly, 2.25 < 2.5
Since, the amount of milk and flour she has is less than the required amount, therefore she does not have the correct amount of milk and flour to make the pancakes from the recipe
What is the equation of a line, in point-slope form, that passes through (-2,-6)and has a slope of 1/3 ?
Answer:
y +6 = 1/3(x+2)
Step-by-step explanation:
Point slope form:
y - y1 = m(x - x1)
m = slope
Since x and y are negative, the double negatives make a positive.
Help ASAP please please plsssssssssssssssssss
Answer:
1.666666667
Step-by-step explanation:
Lisa went to the hardware store and bought 12 pieces rope. Each rope was 3/4 of a meter long. If the rope cost $3.50 a meter, how much did she spend?
Answer:
(B) 31.5
Step-by-step explanation:
h(x)=x−11 i don't get it
If you cut a 3 ¾ ft. length of wire into pieces that are ¼ ft. long, how many pieces
of wire will you have?
Answer:
3 2/4
Step-by-step explanation:
3.5 or just 3 if you round
Micheal had 1000 viruses on his phone and he got rid of 99 how much viruses does he have to get rid of? and your welcome for the points :D
901
ILY EPICFARTS2021 THANKS FOR ALL THE POINTS
6 lumberjacks can cut down 15 mahogany trees in 2 hours. How much longer will
it take 8 lumberjacks to cut down 35 mahogany trees working at the same rate?
B. 1}hr
c.hr
A. 3hr
D. 21hr
9514 1404 393
Answer:
3.5 hr
Step-by-step explanation:
We assume that "the same rate" means effort per tree is a constant. "Effort" is measured as the product of lumberjacks and hours. Then ...
(lumberjacks)(hours)/trees = (6)(2)/15 = (8)(t)/35
Multiplying by 35/8, we have ...
(35/8)(12/15) = t = (3·4·5·7)/(2·3·4·5) = 7/2 = 3.5
It will take 8 lumberjacks 3.5 hours to cut down 35 trees.
Jayla bought 20 candies for 10 dollars. What is the unit price dollars per candy?
Answer:
$1.00
Step-by-step explanation:
20/10=2
Answer:
$2 per candy
Step-by-step explanation:
20 \ 10 = 2
weavers are making a carpet from a scale drawing. The carpet will be 10 ft by 14 ft. Every 5 in. on the drawing represents 7 ft of carpet. What are the length and width of the scale drawing?
the answer is 9.2 in by 10 in
The length and the width of the scale drawing are 7.14 inches by 10 inches.
Since every 5 inches on the drawing represents 7 ft of carpet, then the width of the drawing will be:
= 10 × 5/7 = 50/7 = 7.14 inches
The length of the drawing will be:
= 14 × 5/7
= 10 inches.
Therefore, the length and the width of the scale drawing are 7.14 inches by 10 inches.
Read related link on:
https://brainly.com/question/18336040
I need help with this please
Answer:
b
Step-by-step explanation:
Answer:
The answer is B. since the m on the bottom is negative you are taking it away. You basically just combine your variables to make the equation.
Step-by-step explanation:
Which one of these shapes is not like the others?
Shape A
Shape B
Shape C
Answer: C is more oval like than the others
Step-by-step explanation:
Write the product as a power:
(xy) (xy) (xy) (xy)
Answer:
(xy)⁴
Step-by-step explanation:
We have 4 xy terms multiply together. That means we can rewrite it as a power of 4.
What is the range of the function graphed below?
Answer:
Range: [tex]y\in[-4,0)\cup[2,+\infty)[/tex]
Step-by-step explanation:
Range of a Function
Given a real function f(x), the Range of f is the set of all the values the function can take when x varies within the domain of f.
If we have the graph of the function, a practical rule can be used to find the Range. Imagine a horizontal rule moving from minus infinity to plus infinity. If that rule touches the graph of the function, the vertical height or y-value belongs to the range.
Consider the function provided in the image. If our horizontal rule comes from minus infinity, it won't touch the graph until it reaches the value y=-4. Note the endpoint has a filled dot, meaning the point belongs to the function. The range starts from -4.
Going up in values of y, we touch the function until y=0. But that endpoint is marked with an empty dot, so that point does not belong to the function.
The first interval of the range is [-4,0)
Moving up the rule, we touch the function again when y=2 (included) and we note the function continues to go up to plus infinity (signaled with the arrow). Thus, the second interval is [2,+∞).
The range of f is the union of both intervals:
Range: [tex]y\in[-4,0)\cup[2,+\infty)[/tex]
Answer:
B
Step-by-step explanation:
Mark walk miles in 5 hours how many miles did Mark walk in 1 hour?
Solve the compound inequality.
3<2−3≤12
3
<
2
p
−
3
≤
12
3<2−3≤12
3
<
2
p
−
3
≤
12
Group of answer choices
3>≥152
3
>
p
≥
15
2
3>≥152
3
>
p
≥
15
2
3>≥152
3
>
p
≥
15
2
6>≥15
6
>
p
≥
15
6>≥15
6
>
p
≥
15
6>≥15
6
>
p
≥
15
$$66<≤15
6
<
p
≤
15
6<≤15
6
<
p
≤
15
$$3
Answer:
I would say either the 2,3,4,or 5
Raul has 50 coupon books to sell. The total amount of money Raul will make from selling x coupon books is represented by a function.
f(x)=20x
What is the practical domain of the function?
all integers from 0 to 50, inclusive
all integers from 20 to 50, inclusive
all multiples of 20 between 0 and 1000, inclusive
all real numbers
The domain of a function is the set of its possible inputs .The output values are called the range.For any the set of values x can take is called the domain of the function.
The given function is f(x)= 50x .Here x represents number of coupons . f(x) represents The total amount of money Raul will make .
It is given Raul started with 50 coupon books and has already won a prize for selling at least 10 coupon books .
The values x can take or the domain of the function will lie between 10 and 50.
The correct option is All integers from 0 to 50, inclusive .
Answer:
The answer is 0 to 50
if i have a 74.23% in math class and i get a 0 on a Summative Assignment, what is my new grade?
Y'all are smart, please help
Amelia practices the piano 980 minutes in 4 weeks. At what rate did she practice, in minutes per day?
Answer:
35 minutes a day.
Step-by-step explanation:
4*7=28
980/28=35
Answer:
35
Step-by-step explanation:
980 divided by 28 (days in a month)