Answer:
Nathaniel ran fastest
Step-by-step explanation:
For Joseph
Joseph ran 2 3/4 miles 2 /5 of an hour.
Speed = Distance/Time
Speed = 2 3/4 miles ÷ 2/5 hour
= 11/4 ÷ 2/5
= 11/4 × 5/2
= 55/8 miles/hour or 6.875 miles/hour
How fast did he run in 1 hour? (try to leave your answer in a fraction)
Hence, this is calculated as:
2/5 hour = 55/8 miles per hour
1 hour = x
Cross Multiply
x = 55/8 ÷ 2/5
x = 55/8 × 5/2
x = 275/16 miles per hour
x = 17 3/16 miles per hour
Nathaniel ran LaTeX: 8 2/3 miles in 4 /3 of an hour. How fast did Nathaniel run in 1 hour? (try to leave your answer in a fraction)
Speed = Distance/Time
Speed = 8 2/3 miles ÷ 4/3hour
= 26/3 ÷ 4/3
= 26/3 × 3/4
= 26/4 miles/hour
How fast did he run in 1 hour? (try to leave your answer in a fraction)
Hence, this is calculated as:
4/3 hour = 26/4miles per hour
1 hour = x
Cross Multiply
x = 26/4 ÷ 4/3
x = 26/4 × 3/4
x = 78/16 miles per hour
x = 4 14/16 miles per hour
= 4 7/8 miles per hour
Who ran the fastest, Nathaniel or Joseph?
Hence, from the calculation above, Nathaniel ran fastest
On Monday, the temperature was 43°F. On Tuesday, the temperature increased 6°F. On Wednesday, the temperature decreased 13°F. Which integer represents the overall change in temperature from Monday to Wednesday?
Answer:c Thursday
Step-by-step explanation:
If on Monday, the temperature was 43°F. On Tuesday, the temperature increased by 6°F the overall change in temperature from Monday to Wednesday will be 24°F.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.
It is given that on Monday, the temperature was 43°F. On Tuesday, the temperature increased by 6°F. On Wednesday, the temperature decreased by 13°F.
The overall change in temperature from Monday to Wednesday is found as,
= 43°F + 6°F - 13°F
= 24 °F
Thus, if on Monday, the temperature was 43°F. On Tuesday, the temperature increased by 6°F the overall change in temperature from Monday to Wednesday will be 24°F.
Learn more about the arithmetic operation here:
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Can somebody answer quick please!
Answer:27/2
Step-by-step explanation: The ratio stays the same. So 4/6 = 9/x. Solve that and get 27/2
Answer: 18 in.
Step-by-step explanation:
Joseph’s lunch at a restaurant costs $13.00, without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. What is the total cost of the lunch, including the tip without tax? *
Answer:
17% of 13 is 2.21
13 + 2.21 = 15.21
Step-by-step explanation:
Joseph's lunch costs = $13 without taxes
He leaves tip for the waiter = 17% of cost of the lunch
= 17% of $13
= 13 ×
= ( 13 × 0.17)
= $2.21
Total cost of lunch + tip = 13 + 2.21
= $15.21
Don’t know answer help!!!
Answer:
Step-by-step explanation:
AA
Item 8
POSSIBLE POINTS: 11.11
In math class, the teacher asked students to randomly select a card and roll a number cube. There were 6 yellow cards, 4 blue, 8 red and 7 green cards. The number cube was numbered 1 through 6. What was the probability of choosing a green card and rolling an odd number?
14%
24%
48%
36%
Answer:
24% is the answer
Step-by-step explanation:
Write the equation of the line that passes through (-3, -20) and (1,4).
Answer:
y=6x-2
Step-by-step explanation:
The equation of the line is y=mx+b
FINDING SLOPE: To find the slope of a given line use the equation [tex]\frac{y2-y1}{x2-x1}[/tex]
So x1=-3, y1=-20 and x2=1, y2=4
Plug those numbers into the equation: [tex]\frac{4-(-20)}{1-(-3)}[/tex] and we get the slope which is 6.
FINDING Y-INTERCEPT: Then we find the y intercept by plugging in our points (you can choose) I will use (1,4) and solve.
y=6x+b
4=6(1)+b
b=-2
Write an equation in slope-intercept form of the line with slope −6/5 that contains the point (−5,3)
Answer:
y=-6/5x-3
Step-by-step explanation:
y-3=-6/5(x+5)
y=-6/5x-3
What is the volume of the prism below?
Aw
2
23
units
$3
3. units
5 units 3
A units 3
Answer:
V = 3.5 m3
Step-by-step explanation:
length l = 1 m
width w = 2 m
height h = 1.75 m
volume V = 3.5 m3
GEOMETRY HELP PLEASEEEEEEEEEE
Lesson 5-1 Exploring What Makes Triangles Congruent Practice and Problem Solving: A/B
Similar triangles may or may not be congruent.
The corresponding parts of XYZ and NPQ are: [tex]\mathbf{Z \cong Q}[/tex] , [tex]\mathbf{YZ \cong PQ}[/tex] , [tex]\mathbf{X \cong N}[/tex] , [tex]\mathbf{NQ \cong XQ}[/tex] , [tex]\mathbf{PN \cong YX}[/tex].The unknown values are: [tex]\mathbf{y = 18}[/tex] , [tex]\mathbf{z = 12}[/tex] , [tex]\mathbf{L = 60}[/tex] , [tex]\mathbf{C = 60}[/tex], [tex]\mathbf{AC = 24}[/tex].The congruent parts are: KL and RQ, KJ and RS, QS and LJQuestion 1 to 6:
Triangles XYZ and NPQ are similar triangles.
This means that:
Angles Z and Q, lines YZ and PQ, angles P and Y, angles X and N, lines NQ and XZ, lines PN and YX are corresponding sides and angles
Question 7 to 12:
Triangles LMN and CBA are similar triangles.
This means that:
[tex]\mathbf{7z+6 = 5y}[/tex]
[tex]\mathbf{2y-12 = z + 12}[/tex]
Collect like terms
[tex]\mathbf{2y= z + 12+12}[/tex]
[tex]\mathbf{2y= z + 24}[/tex]
Make z the subject
[tex]\mathbf{z = 2y -24}[/tex]
Substitute [tex]\mathbf{z = 2y -24}[/tex] in [tex]\mathbf{7z+6 = 5y}[/tex]
[tex]\mathbf{7(2y -24) + 6 = 5y}[/tex]
[tex]\mathbf{14y -168 + 6 = 5y}[/tex]
[tex]\mathbf{14y -162 = 5y}[/tex]
Collect like terms
[tex]\mathbf{14y -5y = 162}[/tex]
[tex]\mathbf{9y = 162}[/tex]
Divide both sides by 9
[tex]\mathbf{y = 18}[/tex]
Recall that: [tex]\mathbf{z = 2y -24}[/tex]
[tex]\mathbf{z = 2 \times 18 - 24}[/tex]
[tex]\mathbf{z = 12}[/tex]
[tex]\mathbf{L = 60}[/tex]
[tex]\mathbf{LN = 2y - 12}[/tex]
[tex]\mathbf{LN = 2 \times 18 - 12}[/tex]
[tex]\mathbf{LN = 24}[/tex]
[tex]\mathbf{C = L}[/tex]
[tex]\mathbf{C = 60}[/tex]
[tex]\mathbf{AC = LN}[/tex]
[tex]\mathbf{AC = 24}[/tex]
Question 13:
The congruent parts are: KL and RQ, KJ and RS, QS and LJ
Read more about congruent and similar triangles at:
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Please answer all 3 for 20 points
Sean said that if an item is on sale for 50% off plus an additional 20% off, that is the same as a 70% discount. Megan disagrees. Who is correct? Justify your reasoning.
Answer:
Megan is correct because when you take 20% off, you're taking it off the 50%.
Step-by-step explanation:
2(x+y) = 5
How would I solve for x ?
How do I make someone brainlest?
Answer:
When 2 people answers a question you should see a crown and you click on it and that is how you marke someone brainlest
Step-by-step explanation:
If a line is parallel to y=-6x +3 , what is the slop of that line ?
A.-6
B.3
C.8
D.1/6
Answer:
Step-by-step explanation:
A
If a roof is 24 feet high and if you leaned a 26 foot ladder against the side of a building how far away from the building is the base of a ladder to reach the roof
Answer: 35.4 feet.
Step-by-step explanation:
Given data:
Height of the roof = 24 feet
Height of the ladder = 26 foot
Solution:
c^2 = a^2 + b^2
a = 24
b = 26
c^2 = 24^2 + 26^2
c = √576 + 676
c = √1252
c = 35.4 feet
The foot of the ladder is 35.4 foot away from the top of the ladder.
Answer:
The distance between the base of the ladder and the building is 10 ft
Step-by-step explanation:
Here, we want to calculate the distance between the foot of the ladder and the building
To get this, we need to have a pictorial representation. Please check the attachment for this
From the pictorial representation, we can see a right angled triangle with a hypotenuse of 26 feet and the other side being 24 feet. We now need to get the third side of this triangle which represents the distance we want.
Mathematically, we can calculate the distance using Pythagoras’ theorem which states that the square of the length of the hypotenuse is equal the sum of the squares of the two other sides of the triangle.
Let the distance we are looking for be D
26^2 = 24^2 + D^2
D^2 = 26^2 - 24^2
D^2 = 100
D^2 = 10^2
D = 10 feet
In triangle TRS, TZ = (3x) inches and WZ = (2x - 3) inches. Triangle T R S has centroid Z. Lines are drawn from each point to the midpoint of the opposite side to form line segments T W, R V, and S U. [Figure may not be drawn to scale] What is WZ? 6 inches 9 inches 18 inches 27 inches
Answer:
it is 9
Step-by-step explanation:
The value of WZ will be equal to WZ= 9 inches so the correct option is B.
What is trigonometry?
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
We have: U is the midpoint of TR, V is the midpoint of TS and W is the midpoint of SR
This means that.Z is the centroid of the given triangle centroid point divides any median in the triangle in the ratio of 2:1 from the vertex
This means that:
TZ = 2ZW
3x = 2(2x-3)
3x = 4x - 6
x = 6
Now, we get WZ as follows:
WZ = 2x - 3 and x = 6
WZ = 2(6) - 3
WZ = 12 - 3
WZ = 9 in
Therefore the value of WZ will be equal to WZ= 9 inches so the correct option is B.
The complete image of the triangle is attached with the answer below.
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A school wants to buy a chalkboard that measures 3 feet by 4 feet the chalkboard cost $6.14 per square foot. How much will the chalkboard cost
Answer:
$49.12
Step-by-step explanation:
Does the system have a no solution or infinitely many solutions
Y=2/3x+2-2x+3y=6
Answer:
answer for y=2/3x+2: y=2/3x+2
answer for -2x+3y=6: x=3/2y-3
pls give brainliest
Answer:
There are infinitely many solutions.
Step-by-step explanation:
There are infinitely many solutions because if you solve the equations, you will find that both of the equations are actually the same, so there is infinitely many solutions.
Showing that both equations are equal: y=2/3x+2 -2x+3y=6
y=2/3x+2 Multiply by 3 on both sides
3y=2x+6 Rearrange (-2x on both sides)
3y-2x=6 More rearrangement
-2x+3y=6 Now, if you look back at the second equation, you will see that they are both the same.
A park is showing a movie on the lawn. The base of the screen is 6 feet off the ground and the screen is 22 feet high (see figure).
Answer:
A. 61.82°;
15.64°
B. 33.37°
Step-by-step explanation:
A.
✍️Angle of elevation from 15 ft:
A right triangle is formed. Apply trigonometric ratios formula to find the angle of elevation from 15 ft.
Thus,
Length of the side Opposite to reference angle = 22 + 6 = 28 ft
Adjacent length = 15 ft
Thus, we would have:
[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{15} [/tex]
[tex] tan(\theta) = 1.8667 [/tex]
[tex] \theta = tan^{-1}(1.8667) [/tex]
[tex] \theta = 61.82 [/tex] (2 d.p)
✍️Angle of elevation from 100 ft:
Thus,
Length of the side Opposite to reference angle = 22 + 6 = 28 ft
Adjacent length = 100 ft
Thus, we would have:
[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{100} [/tex]
[tex] tan(\theta) = 0.28 [/tex]
[tex] \theta = tan^{-1}(0.28) [/tex]
[tex] \theta = 15.64 [/tex] (2 d.p)
B.
✍️Distance you'd be from the screen if you lie on the ground and make an angle of elevation of 40° to the top of the screen:
Adjacent length = your distance from the screen = x
Opposite length = 22 + 6 = 28 ft
Angle of elevation = 40°
Tge trigonometric ratios formula to use would be:
[tex] tan(\theta) = \frac{opp}{adjacent} [/tex]
Plug in the values
[tex] tan(40) = \frac{28}{x} [/tex]
Multiply both sides by x
[tex] x*tan(40) = 28 [/tex]
Divide both sides by tan(40)
[tex] x = \frac{28}{tan(40)} [/tex]
[tex] x = 33.37 [/tex] (2 d.p)
Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.
A: 196.20
B: 208.20
C: 1286.20
D: 1298.20
Answer:
Step-by-step explanation:
Eddie deposits $1090 in an account that earns 6% interest compounded annually for 3 years. What is the total interest earned after 3 years? Round to the nearest cent.
A: 196.20
B: 208.20
C: 1286.20
D: 1298.20
please can someone solve
A stovetop burner on medium reaches 95°C. Which will also receive a flow of heat directly from the burner
Answer:
The surrounding air
Step-by-step explanation:
Answer:
the surrounding air
Step-by-step explanation:
Check my answers plz <3\
Answer:
all three are correct
Step-by-step explanation:
Jessica wants to go on a school trip next month. The trip will cost $100 and she already has $10 and plans to babysit for $5 an hour to earn the rest of the money.
A. Write an equation that could be used to determine h, the number of hours Jessica needs to babysit to earn $100.
B. From your equation, determine the number of hours she needs to babysit.
Answer:
Step-by-step explanation:
100=10+5x x is the hours she needs to babysit
90=5x
x=18
She needs to babysit for 18 hours at $5 an hour if she already has $10
15 5/12 minus 11 1/8 A. 4 7/24 B. 4 7/12 C. -4 1/3 D.-4 7/24
Answer:
A. 4 7/24
Step-by-step explanation:
subtract 15 - 11 which equals 4
then do 5/15 - 1/8 =7/24
what is the equation of the line that passes through the point (4,-5) and is parallel to the line y=1/2x+5
Answer:
y=1/2x - 7
Step-by-step explanation:
Since the lines are parallel, this means that the slopes will be the same, only the y-intercept will change. I graphed this out to find the answer.
Rachel is building a doghouse. She needs to cut a 12-foot long board into lengths of 65 in.
3. How many lengths can she cut?
Answer:
2 cuts; yes, 14 in
Step-by-step explanation:
Look at it correctly and solve on paper
POSSIBLE POINTS: 28.57
The flight path of a volleyball is modeled by the equation h (x) = -0.034x2 + 1.3z +5.5, where h(x) is the height of the volleyball and x is the
horizontal distance measured in feet from where the ball was hit. Determine the maximum height of the volleyball
O 19.118 feet
O 18.344 feet
O 17 926 feet
O 16.982 feet
O 15.004 feet
O 14.621 feet
O 13.955 feet
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ET Review
My Fav Football team what’s yours? Follow and Like
Answer:
I don't like Football...
Step-by-step explanation:
Answer: My fav is the New York Giants
Step-by-step explanation:
ANSWER RN IM GOING TO FAIL MY PRE-K TESTTTTT
What does definition mean???
Answer:
a statement of the exact meaning of a word, especially in a dictionary
