The total distance ran by Johnny after he left the house is D = 31 miles
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as D
Now , the value of D is
Substituting the values in the equation , we get
Let the total distance ran by Johnny be D = ran 2 miles north, 6 miles west, 3 miles north, 10 miles south, 8 miles east, and then 2 miles
So , D = 2 + 6 + 3 + 10 + 8 + 2
On simplifying the equation , we get
D = 31 miles
Hence , the distance is D = 31 miles
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Donny has $40 saved in his savings account and wants to earn more. He begins babysitting for the neighbors and gets paid $15 per hour. He seves all of his earnings 150 136 120 a Create a graph to show his total money saved from when he started through 10 hours of babysitting money saved (dollars) b. What is the slope of the ine? 88888889 c. What does the slope meen in this situation? 5 6 7 8 9 üme babysitting (hours) d. At what point does the Ine cross the vertical () ats? e. What does the vertical intercept mean in this situaton?
Answer:
a.) since he already has 40 in his savings account, start the line at (0,40) on the y-axis and then go up 15 every hour
b.) 15 or 15/1
c.) for each hour Donny spends working, the amount of money he has go up by 15
d.) (0,40)
e.) the vertical intercept or (y-intercept) is (0,40) because this is how much money Donny already has in savings
Neeeeeeeeeeed helppppppppp plssssssss
10 (4p - 2k)(3)
In distributive property?
Answer:
10 ( 12p - 6k)
Step-by-step explanation:
4p x 3 = 12p
2k x 3 = 6k
you cannot subtract 12p and 6k bcuz they do not have the same variables.
1. Temperature: Which number from the following list of temperatures (in
degrees fahrenheit) is the coldest?
17
15
27
Triangle DEF is dilated to create triangle DAB. What scale factor was used?
please hurry in less than 10 min
Answer:
Not sure how you would word it but the bigger triangle is 2 times larger than DEF.
Step-by-step explanation:
DE=4
AE=4
4+4=8
AD=8
Hope this helps!!
The scale factor used to create DAB from triangle DEF is 2.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
The length of the base of the triangle DEF is 4 units and of DAB is 8 units.
The length of the height of DEF is 3 units and that of DAB is 6 units.
From this, we conclude that the scale factor is 2 as 8 is a multiple of 2×4 and 6 is a multiple of 2×3.
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A family went to a restaurant for dinner. The subtotal for the meal including tax is $65.90. The family decided to leave a 20% tip. How much did the family pay total including tip?
Answer:
$79.08
Step-by-step explanation:
Find 20% of 65.90. 20% as a decimal is 0.20. Multiply 0.2 and 65.90.
65.90 x 0.20 = 13.18
Add 13.18 to the original price.
13.18 + 65.90 = 79.08
Which example does NOT show the commutative property of addition? 4+x=x+4
Ab=ba
A+b=b+a
3x+4y=4y+3x
plz answer quick
Answer:
Ab=ba that one is multiplication I believe
last one! Please help me !!
Answer:
1.) A 2.) B
Step-by-step explanation:
Formula: a^2+b^2=c^2
4^2+3^2=5^2
Proof:
4^2=16
3^2=9
9+16=25
5^2=25
Pleaseee help me out!
In the triangle shown, what is the length of the hypotenuse?
Step-by-step explanation:
the answer is
[tex] \sqrt{136} [/tex]
..................
if it feels wrong
be free to correct ....
solve by the method of elimination 2xy=3;3x+y_7
please answer me
meeeeeee
Answer:
x = 2 and y = 1
Step-by-step explanation:
Given equations are :
2x-y=3 ...(1)
3x+y=7 ...(2)
Add equation (1) and (2) as follows :
2x-y + 3x+y = 3 + 7
2x + 3x = 10
5x = 10
x = 2
Put the value of x in equation (1)
2(2)-y=3
4-y = 3
y = 4-3
y = 1
Hence, the solution of the given equations are (2,1).
Find the volume of the figure in cubic centimeters.
Answer:
755.16 cm³
Step-by-step explanation:
We can separate this into two parts -- the bottom rectangular prism and the top triangular prism.
The volume of the bottom part is 12*4*14 = 672 cm³
For the triangular prism, we have an equilateral triangle, with sides 4cm, as well as a length of 12cm. We can find the area of the triangle and multiply it by 12 for our answer. The area of an equilateral triangle is [tex]\frac{\sqrt{3} }{4} 4^{2}[/tex], which is approximately 6.83 -- we can multiply that by 12 to get 83.16 cm³
Add these 2 up to get 755.16 cm³ as our answer
The tape diagram represents an equation.
25
10
w
w
Write an equation to represent the tape diagram.
Choose 1 answer:
A
25 = w - 10
B
25 = 10 + w
Answer:
25=10+w
Because the value of w that makes the equation true is
w=25_10
w=15
Answer:
Step-by-step explanation:
A cylinder has a diameter of 20cm.
The height of the cylinder is 3/5 the length of the diameter.
Calculate the volume of the cylinder in terms of π
Answer:
V = 1200π
Step-by-step explanation:
Volume of a cylinder formula:
V = πr²hLet's find the height of the cylinder by multiplying 20 cm by 3/5.
20 * 3/5 = 60/5 = 12 cmThe radius is 1/2 of the diameter, so:
20 * 1/2 = 20/2 = 10 cmSubstitute 12 for h and 10 for r into the volume formula.
V = π(10)²(12)Simplify.
V = π * 100(12) V = π * 1200The volume of a cylinder, in terms of π, is V = 1200π.
round 2.33459 to the hundreths place
Answer:
2.33
Step-by-step explanation:
Answer:
go to your hundredths place. since 4 is not greater than 5 then it would round down. so the final answer would be 2.33
Solving One Step Equations. SHOW YOUR WORK
-6 = b/16 solve to find b
Answer:
-96
Step-by-step explanation:
multiply both sides by 16
What is the range of the following relation?
{(10, 14), (-5, 16), (12, 14), (-5, 18)}
A-5
B 16
C14
D 18
Answer:
A
Step-by-step explanation:
Write an expression that can be used to find the total cost of 7 bikes at $85.00 each and 4 helmets at $25.50 each.
Answer:
85x7+ 25.50x4
Step-by-step explanation:
Help pls and thank you :)
Answer:
[tex]y=\frac{-2}{3} x+1[/tex]
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex]. Here's what the variables mean:
y = the y-coordinate
m = the slope
x = the x=coordinate
b = the y-intercept (what y is equal to when the line crosses the y-axis)
First, we need to calculate the slope of the line (m). The slope is the [tex]\frac{rise}{run}[/tex] of the line, or in other words, the change in y over the change in x. We can find this by just looking at the graph, between the two given points. For 3 spaces the line travels to the right, it travels downward 2 spaces. Therefore, the slope of the line is [tex]\frac{-2}{3}[/tex].
We can also calculate this using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] by using two points that fall on the line, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. Here, we can use the points (-3,3) and (0,1).
[tex]\frac{y_2-y_1}{x_2-x_1}\\\frac{1-3}{0-(-3)}[/tex]
Two negatives make a positive
[tex]=\frac{1-3}{0+3}\\=\frac{-2}{3}[/tex]
Then, we need to find the y-intercept of the line (b). We can find this by, again, looking at the graph. The line crosses the y-axis when y is equal to 1, so the y-intercept of the line is 1.
Now, we plug our calculated values back into the original equation:
[tex]y=mx+b\\y=\frac{-2}{3} x+1[/tex]
I hope this helps!
How many Wednesdays go into 180 days if you start on Monday?
Question 6 of 10
In a group of 60 students, 14 students take Algebra I, 20 students take
Algebra II, and 7 students take both subjects. How many students don't take
either of these subjects?
A. 28
ОО
B. 19
O
C. 32
D. 33
Sally had 9/10 of her essay to finish after school for homework.She completed 2/3 of that9/10 before dinner. How much of the essay did she still need to finish her dinner?
Answer:
3/10
Step-by-step explanation:
2/3 of 9= 6. So 2/3 of the 9/10=3/10
What’s the answer for this equation?
1/2 * (1, 341 + 625)
Answer:
1,966 I think
Step-by-step explanation:
Answer:
982.5
Step-by-step explanation:
Always do the parenthesis first
1/2 * 1, 341 + 1/2 * 625
670 + 312.5
982.5
The wholesale cost of a pair of PUMA sneakers is $28. Academy Sporting Goods sells the sneaker for 74.99. Rounded to the nearest 10th of a percent, which choice best represents the markup rate?
Question 4 options:
37.8%
.6%
167.8%
62.7%
I WILL GIVE BRAINLIST IF YOU PUT THE RIGHT ANSWER BUT IF U DONT KNOW IT DO NO ANSWER OR I WILL REPORT U
Answer:
167.8
Step-by-step explanation:
Answer: 167.8
Step-by-step explanation:
Determine the intercepts of the line.
how to solve r-9≤-25
Answer:
Step-by-step explanation:
That’s the answer (the pic)
which of the follong is the process of finding the factors of mathematical expression 2d²-8d
Answer:
2d(d - 4)
Step-by-step explanation:
Given
2d² - 8d ← factor out the common factor of 2d from each term
= 2d(d - 4) ← in factored form
48 pens are packaged in 4 boxes.
how many pens are packaged in 9 boxes?
Answer:
108 pens
Step-by-step explanation:
Identify the solid produced by rotating the figure around the given axis.
Answer:
4
Step-by-step explanation:
The solid produced by rotating the figure around the given axis is a cone.
Step-by-step explanation:
A solid is a 3-dimensional structure obtained by rotating the 2-dimensional figure at a given axis.
The line or axis at which the given figure is rotated is known as the axis of revolution.
Given:
A right-angle triangle
To find :
Solid produced by rotating the given figure.
Solution:
When we rotate the given figure as shown in the image, we will obtain a solid known as a cone.
The solid produced by rotating the figure around the given axis is a cone.
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how do i solve -3x + 2y = -4
Answer:
y= 3/2 x -2
Step-by-step explanation:
I guess you want to find the y=mx+b form
So you do +3x on both sides which will gave you: 2y= 3x-4
Then, you will divide by two on both sides to find the y value: 2y/2 = (3x-4)/ 2
So 3/2 is the fraction like the answer above and -4/2 = -2
Hope that helps :)
!!! PLEASE I NEED HELP ASAP!!!
What is the domain of the following function?