Answer:
219 Seconds ; He was 1 second faster
Step-by-step explanation:
Two halfs equal one whole, meaning both of the times added will equal the full time he took:
95+124=219
219 Seconds
He was 1 second faster because:
219-218=1
write an expression that is equivalent to 1/3x+3/4+2/3x-1/4-1/3-2/3x
Answer: 1/3x + 1/6
Step-by-step explanation:
The expression that is equivalent to 1/3x+3/4+2/3x-1/4-1/3-2/3x would be:
= 1/3x + 2/3x - 2/3x + 3/4 - 1/4 - 1/3
= 1/3x + 3/4 - 1/4 - 1/3
= 1/3x + 1/2 - 1/3
= 1/3x + 3/6 - 2/6
= 1/3x + 1/6
Answer:
1/3x + 2/4
Step-by-step explanation:
(1/3x + 2/3x = 3/3x/ 1 - 2/3 = 1/3) (3/4 - 1/4 = 2/4
surface area of 20,20,20
Answer:
2400
Step-by-step explanation:
Answer:
2400
Step-by-step explanation:
Multiply 20 x 20 x 20
What is ratio 54 1:16:2
How many variables are in 10 - 3x + 4y - z?
Answer: 10
Step-by-step explanation:
Joey is 13 years and 5 months old. His friend Suzy is 4,860 days old.
Who is older?
How many months old is the older person?
Answer:
The Joey is older as he is 13 years and 5 months old
Also the difference is of 2 months 8 days approx
Step-by-step explanation:
The computation is shown below:
Given that
Joey is 13 years and 5 months old
And his friend Suzy is 4,860 days old i.e. 13 years and 3 months old + 22 days
So as we can see that
The Joey is older as he is 13 years and 5 months old
Also the difference is of 2 months 8 days approx
So the same is to be considered and relevant
17.09 as a mixed number
A man spends ¼ of his salary onshoes and ⅔ on school fees, what fraction of his salary is left?
Answer:
1/12
Step-by-step explanation:
1/4+2/3=11/12
Meaning 1/12 left
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Determine which car gets the better gas mileage (picture below)
Answer:
Car A gets better mileage
Step-by-step explanation:
360 / 20 = 16 mpg
270 / 18 = 15 mpg
Answer:
A
Step-by-step explanation:
360×3=1080
270×4=1080
20×3=60
18×4=72
car A is better
mr sumesh started selling cars at the age of 23 and he then started selling planes at the age of 43 years. what is the fraction of his agr did he sell the car?
He sold cars from age 23 to 43, which is 20 years ( 43-23 = 20)
He started selling planes at age 43, so he sold cars for 20 years out of 43 years.
The fraction is number of years he sold cars / number of total years.
Fraction = 20/43
In the above quadrilateral ABCD,
AD || EF || BC and
|AE| = 2 EB, BM = 4, |AD = 6, BC| =
, 9
Then DO
Answer:
The length of segment [tex]\overline{DO}[/tex] is [tex]\displaystyle \frac{24}{5}[/tex].
Step-by-step explanation:
Start by verifying that [tex]\triangle DAB \sim \triangle MEB[/tex], and that [tex]\triangle DOA \sim \triangle BOC[/tex].
Both [tex]\triangle DAB[/tex] and [tex]\triangle MEB[/tex] contain the angle [tex]\angle DBA[/tex]. Hence, another pair of equal angles will be sufficient to prove [tex]\triangle DAB \sim \triangle MEB[/tex] by the angle-angle similarity postulate.
Notice that because [tex]\overline{AD} \; \| \; \overline{EF}[/tex], the corresponding angles next to those two lines would be equal: [tex]\angle MEB = \angle DAB[/tex]. Both [tex]\angle MEB[/tex] is in [tex]\rm \triangle MEB[/tex] whereas [tex]\angle DAB[/tex] is in [tex]\triangle DAB[/tex].
Hence, [tex]\triangle DAB \sim \triangle MEB[/tex] by the angle-angle similarity postulate.
Notice how [tex]\angle DOA[/tex] in [tex]\triangle DOA[/tex] and [tex]\angle BOC[/tex] in [tex]\triangle BOC[/tex] are two vertically opposite angles (and are thus equal to one another.) That is: [tex]\angle DOA = \angle BOC[/tex].
Because [tex]\overline{AD} \| \overline{BC}[/tex], the alternate interior angles [tex]\angle DAO[/tex] and [tex]\angle BCO[/tex] are also equal to one another. That is: [tex]\angle DAO = \angle BCO[/tex]
Hence, [tex]\triangle DOA \sim \triangle BOC[/tex], also by the angle-angle similarity postulate.
Notice that [tex]\triangle DAB \sim \triangle MEB[/tex] implies that:[tex]\begin{aligned} & \frac{\left| \overline{BM} \right|}{\left| \overline{BD} \right|} \\ &= \frac{\left|\overline{EB}\right|}{\left|\overline{AB}\right|} && (\triangle MEB \sim \triangle DAB) \\ &= \frac{\left|\overline{EB}\right|}{\left|\overline{AE}\right| + \left|\overline{EB}\right|} \\ &= \frac{\left|\overline{EB}\right|}{2\, \left|\overline{EB}\right| + \left|\overline{EB}\right|} && (\text{given that $\left|\overline{AB}\right| = 2\,\left|\overline{EB}\right|$})\\ &= \frac{1}{3}\end{aligned}[/tex].
Therefore:
[tex]\begin{aligned}&\left|\overline{BD}\right|\\ &= 3\, \left|\overline{BM}\right| \\ &= 12\end{aligned}[/tex].
Similarly, [tex]\triangle DOA \sim \triangle BOC[/tex] implies that:
[tex]\begin{aligned} \frac{\left| \overline{DO} \right|}{\left| \overline{BO} \right|} &= \frac{\left|\overline{AD}\right|}{\left|\overline{BC}\right|} && (\triangle DOA \sim \triangle BOC) \\ &= \frac{6}{9} = \frac{2}{3}\end{aligned}[/tex].
Therefore, [tex]\displaystyle \left|\overline{BO}\right|= \frac{3}{2}\, \left|\overline{DO}\right|[/tex].
[tex]\begin{aligned} \frac{\left| \overline{DO} \right|}{\left| \overline{BD} \right|} &= \frac{\left| \overline{DO} \right|}{\left| \overline{BO} \right| + \left| \overline{DO} \right|} \\ &= \frac{\left| \overline{DO} \right|}{(3/2)\, \left| \overline{DO} \right| + \left| \overline{DO} \right|} = \frac{2}{5}\end{aligned}[/tex].
It was already found that [tex]\left|\overline{BD}\right| = 12[/tex]. Therefore:
[tex]\displaystyle \left|\overline{DO}\right| = \frac{2}{5}\, \left|\overline{BD}\right| = \frac{24}{5} = 4.8[/tex].
help help help help help
Answer:
Step-by-step explanation:
1) (-6 , 2) ; (3 , -5)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\[/tex]
m = -7/9 ; (-6 , 2)
y - y₁ = m(x -x₁)
y - 2 = (-7/9)(x - [-6])
[tex]y - 2 = \frac{-7}{9}(x + 6)\\\\y -2 = \frac{-7}{9}x + \frac{-7}{9}*6\\\\y - 2 = \frac{-7}{9}x - \frac{7*2}{3}\\\\ y = \frac{-7}{9}x - \frac{14}{3} + 2\\\\y = \frac{-7}{9}x -\frac{14}{3} + \frac{2*3}{1*3}\\\\y = \frac{-7}{9}x - \frac{14}{3} + \frac{6}{3}\\\\y = \frac{-7}{9}x - \frac{8}{3}[/tex]
2) (3 , -4) ; m= 3
[tex]y - y_{1} = m(x - x_{1}[/tex])
y - [-4] = 3(x - 3)
y + 4 = 3x - 3*3
y + 4 = 3x - 9
y = 3x - 9 - 4
Ans: y = 3x - 13
3) m = 2 ; y-intercept (b) = 3/2
y = mx + b
Ans: y = 2x + (3/2)
4) (-1, 3 ) ; (2 , 0)
Slope = [tex]\frac{0 - 3}{2-[-1]}[/tex]
[tex]= \frac{-3}{2+1}\\\\= \frac{-3}{3}\\\\= 1[/tex]
m = 1; ( -1 , 3)
y - 3 = 1(x -[-1])
y - 3 = 1(x + 1)
y - 3 = x + 1
y = x + 1 + 3
Ans: y = x + 4
5)(2, 1) ;m = -3
y - 1 = (-3)(x - 2)
y - 1 = -3x + 6
y = -3x + 6 +1
Ans: y = -3x + 7
Step-by-step explanation:
1) (-6 , 2) ; (3 , -5)
Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}
x
2
−x
1
y
2
−y
1
\begin{gathered}= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\\end{gathered}
=
3−[−6]
−5−2
=
3+6
−5−2
=
9
−7
m = -7/9 ; (-6 , 2)
y - y₁ = m(x -x₁)
y - 2 = (-7/9)(x - [-6])
What is the reciprocal of 3 1/3
Answer:
I believe the answer is 0.3
Answer:
0.3
Step-by-step explanation:
graph the function h(x)-2x-1
Answer:
This is the graph for h(x)=2x-1
Ms. Henry is drawing a scale model of the school garden. Her scale will be 1 cm per 8 ft. School Garden 8 cm 12 cm What are the actual dimensions of the school garden?
Answer:
B. 96 ft by 64 ft
Step-by-step explanation:
Scale of drawing = 1 cm to 8 ft
Length of garden on paper = 12 cm
Actual length of garden = 12 × 8 = 96 ft
Width of garden on paper = 8 cm
Actual length of garden = 8 × 8 = 64 ft
Actual dimensions of the school garden would be 96 ft by 64 ft
Find the common difference of the arithmetic sequence 13, 21, 29, ...
Model the unknown number problem by writing an algebraic expression. Then complete the statements. The class was divided into three equal groups. The number of students in class is represented by . The words “divided into three equal groups” means division by 3 . The correct algebraic expression is .
c a c....................................................................................................................
The correct algebraic expression for this scenario is x/3.
The unknown number of students in the class can be represented by the algebraic expression "x."
The statement "The class was divided into three equal groups" implies that the number of students, represented by "x," is divided by 3.
Therefore, the correct algebraic expression for this scenario is:
x/3.
Here, "x" represents the total number of students in the class, and "x/3" represents the number of students in each of the three equal groups when the class is divided equally.
To know more about algebraic expression:
https://brainly.com/question/953809
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5(q+p+3) =
I’m unsure how to solve this problem
Its a weird problem but I think u should use formula:
(a+b)^2=a^2+2ab+b^2
5(q+p+3)=5q+15+5p=(√5q+√5p)^2
it is only thing u can do.
What is the value of 4y+2y-8 if y=0.5
Answer:
-5
Step-by-step explanation:
4x0.5=2
2x0.5=1
2+1=3
3-8=-5
Find the midpoint of the line segment whose endpoints are (0, 1/2 ) and (0, 3/4).
A: 0,2/3
B: 0,5/8
C: 0, 1 1/4
Answer:
B: 0, 5/8
Step-by-step explanation:
First, add the abcissas (x coordinates).
0 + 0 = 0
Then, divide the result by 2.
0 divided by 2 = 0
Then, add the ordinates (y coordinates).
1/2 + 3/4 = 1 1/4
Then, divide the result by 2.
1 1/4 divided by 2 = 5/8
The midpoint is 0, 5/8
Math question:):):):):)
Select the correct answer. A company’s monthly profit, y, in relation to the number of salespeople employed, x, is shown on the graph. Based on the quadratic model, approximately what number of salespeople maximizes the company’s profits?
Based on the quadratic model, approximately what number of salespeople maximizes the company’s profits?
A.
55
B.
50
C.
37
D.
25
Answer: 37
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
When x= 3, y = 36.
When x = 10, y = 120.
What is the constant of proportionality?
The height of a doorway is 8 yards. What is the height of the doorway in inches?
The height of the doorway is
inches.
Answer:
288
Step-by-step explanation:
multiply the length value by 36
The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color
Answer:
where is the practical table pic
Answer: 1:5.
Step-by-step explanation:
The job is working requires 3 tons of cement Franklin truck can carry 400 pounds at a time how many trips will he have to make
I need help with 5 and 14 pls
Answer:
5
(3a²b³c)³(2a⁴b²c²)³
= (3a⁶b⁹c³)(8a¹²b⁶c⁶)
= 24a¹⁸b¹⁵c⁹
14
⁴√(81a¹⁶b¹²c⁹)
= (⁴√81)(⁴√a¹⁶)(⁴√b¹²)(⁴√c⁹)
[tex]= 3 (a^{\frac{16}{4} }) (b^{\frac{12}{4} } ) (c^{\frac{9}{4} } )[/tex]
[tex]= 3a^{4} b^{3} c^{\frac{9}{4} }[/tex]
How can help me with it 4 x 5 - (2² - 2) =
Answer:
18 hope this makes sense
Step-by-step explanation:
2 and exponent =4 bc exponents make it multiply the same number again how ever many times is there. so it's
4 x 5 - (4 - 2)
4 x 5 - 2
20 - 2 = 18
Answer:
18
Step-by-step explanation:
Do parenthesis and get 2, then 4 x 5=20 then 20 -2= 18.
Which of the following is true about a point? It is a weenie washer
Answer:
-98
Step-by-step explanation:
if you read movies then when you go grocery shopping your cousin will be your brother and thats why cheese is the best fruit even made by jeff bezos
I need help,Please it’s due today
Answer: Sorry, I’m lazy today so I’ll just answer the first question, letter a. The answer is 30 cups of red paint.
Step-by-step explanation: Since you need 2 cups of blue paint and 4 cups of red paint, the ratio of the amount of cups you need for each paint is 1 cup of blue for every 2 cups of red. You need 15 cups of blue so you multiply it by 2 and you get 30. I hope this wasn’t confusing and I hope this helps. Please listen to you teacher because it would really help you on your work.
Are the two triangles above similar? Why or why not?
A. Yes, they are similar by the AA similarity postulate.
B. Yes, they are similar by the SAS similarity theorem.
C. No, two congruent angles is not enough information to prove similarity.
D. No, triangles with two congruent angles are never similar.
Answer:
is it c??
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Because of the dashes on the angles, angle A is congruent to angle D and angle B is congruent to angle E. Since we know that 2 angles are congruent, the triangles are similar because of AA similarity