Answer:
302.5 miles
Step-by-step explanation:
using the relationship
D = ST ( D is distance, S is speed and T is time in hours )
given he drove 140 miles in 2 [tex]\frac{1}{2}[/tex] = 2.5 hours , then
S = [tex]\frac{D}{T}[/tex] = [tex]\frac{140}{2.5}[/tex] = 56 mph
the next part of his journe is 6mph slower, that is 50 mph for 3 [tex]\frac{1}{4}[/tex] = 3.25 hours, then
D = ST = 50 × 3.25 = 162.5 miles
total distance travelled = 140 + 162.5 = 302.5 miles
Solve the following....
[tex]x+4=3(x-2)[/tex]
Answer:
x = 5
Step-by-step explanation:
x + 4 = 3(x - 2) ← distribute parenthesis by 3
x + 4 = 3x - 6 ( subtract 3x from both sides )
- 2x + 4 = - 6 ( subtract 4 from both sides )
- 2x = - 10 ( divide both sides by - 2 )
x = 5
Answer:
Solution of equation is 5Step-by-step explanation:
In the question we have given an equation that is x + 4 = 3 ( x - 2 ) . And we are asked to solve the question that means we have to find the value of x .
Solution : -
[tex] \longrightarrow \quad \: x + 4 = 3(x - 2)[/tex]
Step 1 : Solving parenthesis on right side :
[tex] \longrightarrow \quad \: x + 4 = 3x - 6[/tex]
Step 2 : Subtracting 4 on both sides :
[tex] \longrightarrow \quad \: x + \cancel{4} - \cancel{ 4 }= 3x - 6 - 4[/tex]
On further calculations we get :
[tex] \longrightarrow \quad \: x = 3x - 10[/tex]
Step 3 : Subtracting 3x on both sides :
[tex] \longrightarrow \quad \: x - 3x = \cancel{3x } - \cancel{3x}- 10[/tex]
On further calculations we get :
[tex]\longrightarrow \quad \: - 2x = - 10[/tex]
Step 4 : Dividing both sides by -2 :
[tex]\longrightarrow \quad \: \dfrac{ \cancel{ - 2}x}{ \cancel{ - 2} } = \cancel{\dfrac{ - 10}{ - 2} }[/tex]
On further calculations we get :
[tex]\longrightarrow \quad \: \red{\underline\red{\boxed{ \frak{ x = 5}}}}[/tex]
Therefore , value of x is 5 .Verifying : -
We are verifying our answer by substituting value of x in given equation. So ,
x + 4 = 3 ( x - 2 )5 + 4 = 3 ( 5 - 2 )9 = 3 ( 3 )9 = 9L.H.S = R.H.S Hence, Verified.Therefore, our answer is correct .
#Keep LearningI need help setting up the equations
Answer:
Just multiply the number by the percentage.
Step-by-step explanation:
1. Make the percentage into a decimal (%50= 0.50)
2. Multiply the decimal by the number.
The roof of castle is in the Shape of a cone. It has a height of 12 feet and a diameter of 6 feet, how much air occupies the roof? (Use PE= 3. 14 )
help nowwww
These polygons are similar.
What is the value of x?
• A. 16
20.25
O c 21
•
24.75
• E 36
Answer:
20
Step-by-step explanation:
As they are similar, correspondence sides are in common ratios:
Apply cross product property
Multiply the numbers
Divide both sides of the equation by 5
Calculate
Find the slope of the line passing through (6, -2) and (-5, 5)
Answer: [tex]-\frac{7}{11}[/tex]
Step-by-step explanation:
The formula for finding slope is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Where [tex](x_{1} ,y_{1} )[/tex] are the coordinates of the first point and [tex](x_{2} ,y_{2} )[/tex] are the coordinates of the second point.
Sub the values in
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\\frac{5-(-2)}{-5-6} \\[/tex]
Now solve
[tex]\frac{5-(-2)}{-5-6} \\\frac{7}{-11}[/tex]
Slope:-
[tex]\\ \rm\dashrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \rm\dashrightarrow m=\dfrac{5+2}{-5-6}[/tex]
[tex]\\ \rm\dashrightarrow m=\dfrac{-7}{11}[/tex]
Given circle E with diameter CD and radius EA. AB is tangent to E at A. if AD = 15 and EC = 14, solve for AC.
Answer:
AC ≈ 23.6 units
Step-by-step explanation:
m∠CAD = 90°
CD = 2×14 = 28 , AD = 15
CD² = AD² + AC² ⇒ AC² = CD² - AD²
AC² = 28² - 15² = ( 28 - 15 )( 28 + 15 ) = 13 × 43 = 559
AC ≈ 23.6
Is it possible to split a jackpot of $2,783,000 equally among 9 winners? Explain your answer.
Answer:
No it isnt possible
Step-by-step explanation:
it is not because 2,783,000 is not divisible by 9
Please I need help and an explanation :0
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
According to properties of arc on a circle, angles subtended by an arc on circle at its boundaries are equal to one another.
Hence ~
[tex] \qquad \dashrightarrow \tt \: \angle C = \angle W [/tex]
[tex]\qquad \tt \dashrightarrow \:12x + 15 = 3x + 78[/tex]
[tex]\qquad \tt \dashrightarrow \:12x - 3x = 78 - 15[/tex]
[tex]\qquad \tt \dashrightarrow \:9x = 63[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 63 \div 9[/tex]
[tex]\qquad \tt \dashrightarrow \:x = 7[/tex]
Therefore, value of x is 7
Angles drawn inside chords and radius hence they are equal
12x+15=3x+789x=63x=63/9x=7(True or false): a square falls under both the rectangle and the kite in the quadrilateral hierarchy
Answer:
True
Step-by-step explanation:
hopes this helps.
Help please
(it needs more characters so ♀️
Answer:
5.1 is the correct answer
hope it will help you
what plus 23 equals 180
Answer:
157
Step-by-step explanation:
To find this, we just have to reverse the problem and subtract 23 from 180:
[tex]180-23=157[/tex]
So your answer is 157.
Hope this helps! Have a good day! :)
157
Step-by-step explanation:
180-23= 157
The answer is 157
can someone answer this is that I do not understand and I need it.
Answer:
y = 110 degree
x = 70 degree
z = 70 degree
Step-by-step explanation:
Vertical angles are always congruent.
so, the angle with the 110 degree is equal to the angle y.
now we have the measure of y.
as you can see angle y and angle z form a straight light wich means the sum of angle y and angle x is 180 degree
now, to get the measure of angle z,
180 - 110 = angle z
70 = angle z
now we have the measure of angle z
as angle z and angle x are vertical angle, they are congruent.
so angle x = 70
x = 70
z= 70
y = 110
hope this helps:)
You have $300. Your sister has at most $50 less than you. Write an inequality that matches the situation. Give an amount of money your sister could have.
what is the value of x?
Answer:
If you mean the angle at X... 70°
Step-by-step explanation:
Angles on a straight line sum up to 180°115° + Y = 180°Y = 180° - 115° = 65°Angles in a triangle sum up to 180°X + Y + Z = 180°(4k + 5)° + (6k + 10)° + 65° = 180°We turn everything into degrees4k° + 5° + 6k° + 10° + 65° = 180°We then sum up the "like" terms (as in, we put all the k together, and put all the normal numbers together)10k° + 80° = 180°10k° = 180° - 80° = 100°k° = 100° ÷ 10 = 10°At X:6k° + 10° = 6 × 10° + 10° = 60° + 10° = 70°(LCM) of 28, 42 and 63
Answer:
252
Step-by-step explanation:
The least common multiple is the product of all factors in the greatest number of their occurrence.
LCM = 2 x 2 x 3 x 3 x 7
LCM = 2^2 x 3^2 x 7
LCM = 252
The least common multiple of 28, 42 and 63 is 252.
Answer:
LCM = 252.
Step-by-step explanation:
First find their prime factors:
28 = 2*2*7
42 = 2*3*7
63 = 3*3*7
So, only including like factors once, LCM =
2*2*3*3*7
= 252
Another math thing I need help with
Answer:
Step-by-step explanation:
This quadratic equation is given in standard form, which is [tex]y= ax^2 +bx+c[/tex]. The x-value of the vertex of a quadratic equation can be found using the given formula. Therefore, we can plug the the numbers given into the formula as such: [tex]x=\frac{24}{2(6)}[/tex]. This can be simplified into 2. Now that we have the x-coordinate, we can plug that back into the equation to find the y-coordinate: [tex]y=6(2)^2-24(2)+30[/tex]. This simplifies to y = 6. Therefore, the vertex of the equation is located at (2,6).
Hope this helps!
At Central High School, there are 48 football players and 20 cheerleaders. What is the ratio of cheerleaders to football players?
Answer:
The answer should be 5:12.
Step-by-step explanation:
Since the question asks what's the ratio of cheerleaders to football players, the ratio before simplifying would be 20:48.
So, just find the greatest common divisor of 20 and 48, which would be 4.
20/4 = 5
48/4 = 12
Therefore, the answer to this question and the ratio of cheerleaders to football players is 5:12.
The population of a town is increasing at a rate of 3.5% per year. In 2010, the town had a population of 24,500. Find the population of the town in 2021. (if you can please give a short explanation)
well, from 2010 to 2021 is 11 years later, so
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &24500\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ t=years\dotfill &11\\ \end{cases} \\\\\\ A=24500(1 + 0.035)^{11}\implies A=24500(1.035)^{11}\implies A\approx 35769[/tex]
Help a fella out:)))))))))
Answer:
See below
Step-by-step explanation:
the x + 4 will shift the graph 4 units LEFT
the - 8 part will shift the graph 8 units DOWN
Melissa made a paperweight. The paperweight is a rectangular prism. She painted the outside surface of the paperweight.
the town of abridge currently has a population of 300,000 each year the population will reduce by 7% how many fewer people will live in abridge in 5 years compared with now give your answer to 3 sf
Answer:
91,300 to 3 s.f.
Step-by-step explanation:
The population is reduced by a percentage 100-7 = 93% ( or 0.93) per year.
So after 5 years thatwould be 300,000(0.93)^5
= 208707
that is 300,000 - 208,706
= 91293
= 91,300 to 3 s.f.
NEED HELPP I DONT UNDERSTAND??!!!
Help me pls very pls
Answer:
y = 4
Step-by-Step explanation:
4x5 = 20
2x5 = 10
20+10=30.
(4x5) + (2x5) = 30
or
(yx5) + (2x5) = 30
Brainliest would be appriciated :) have a nice day!
10
2
Given the graph above, choose the coordinate point that is NOT a
solution.
(6.0)
(10,6)
(-8,6)
(0,0)
Answer: Choice C
(-8, 6)
===============================================
Reason:
This point is not in the shaded region. Points in the shaded region are solution points to make the inequality true. Points on the dashed boundary line do not count as solution points.
Answer:
-8,6
Step-by-step explanation:
all of the other answers are within the highlighted area of tha graph and thus are solutions but -8,6 is outside the highlighted area
solve for x
[tex] \binom{1}{2} ^{3x + 1} = 32[/tex]
how do i solve for x
Answer:
Yes diciembre Eqsakdulien
Please help worth 15 points
Answer:
[tex]30.25\pi ft^2[/tex]
Step-by-step explanation:
Prove
[tex]\small \dfrac{ \sin(A) - \cos(A) + 1}{\sin(A) + \cos(A) - 1} = \dfrac{\cos(A)}{1 - \sin(A) } [/tex]
Help!!!!!!!!!
[tex] \frac{ \sin(a) - \cos(a) + 1 }{ \sin(a) + \cos(a) - 1 } = \\ [/tex]
____________________________________________
[tex] \frac{ \sin(a) - \cos(a) + 1 }{ \sin(a) + \cos(a) - 1 } \times \frac{ \sin(a) + \cos(a) + 1}{ \sin(a) + \cos(a) + 1 } = [/tex]
[tex] \frac{ {sin}^{2}(a) + 2 \sin(a) - {cos}^{2} (a) + 1 }{ {sin}^{2}(a) + 2 \sin(a) \cos(a) + {cos}^{2}(a) - 1 } = [/tex]
_____________________________________________
As you know :
[tex] {sin}^{2} (a) + {cos}^{2} (a) = 1[/tex]
_____________________________________________
[tex] \frac{ {sin}^{2} (a) - {cos}^{2}(a) + 2 \sin(a) + 1}{ {sin}^{2} (a) + {cos}^{2}(a) - 1 + 2 \sin(a) \cos(a) } = [/tex]
[tex] \frac{ {sin}^{2}(a) - (1 - {sin}^{2}(a)) + 2 \sin(a) + 1 }{1 - 1 + 2 \sin(a) \cos(a) } = [/tex]
[tex] \frac{ {sin}^{2} (a) + {sin}^{2} (a) - 1 + 1 + 2 \sin(a) }{2 \sin(a) \cos(a) } = [/tex]
[tex] \frac{2 {sin}^{2}(a) + 2 \sin(a) }{2 \sin(a) \cos(a) } = [/tex]
[tex] \frac{2 \sin(a)( \sin(a) + 1) }{2 \sin(a)( \cos(a) \: ) } = \\ [/tex]
[tex] \frac{ \sin(a) + 1}{ \cos(a) } \\ [/tex]
And we're done...
Take care ♡♡♡♡♡
Which letter is the height?
Answer:
I'm pretty sure y is the height.
1/6 of a wall painted in 3/10 of an hour, how much did he paint in 1 hour
What does the red arrow represent in the dot plot?
O outlier
O mean
O spread
O median
NO LINKS!!!
The red arrow represents an outlier in the given dot plot. which the correct answer would be an option (A).
What is the dot plot?A dot plot, sometimes known as a dot chart, is a sort of basic histogram-like graphic used in statistics for very small data sets with discrete values.
An outlier is a value in a random sampling from a population that is significantly different from the other values. In some ways, this definition leaves it up to the analyst (or a consensus process) to determine what is abnormal. Normal observations must first be characterized before anomalous observations may be identified.
The dot plot is given in the question,
According to the given dot plot,
Most data are clustered around [12, 14], while 24 is distant from this interval.
Thus, the red arrow represents an outlier in the given dot plot.
Hence, the correct answer would be option (A).
To learn more about the dot plot click here:
https://brainly.com/question/22746300
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