If Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of 5 m/s². then 12.25 m/s is the final velocity.
What is Velocity?Velocity is the distance covered by an object in unit time.
Given that,
Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of 5 m/s²
a=0.5 m/s²
s is distance=35-20=15
We have a formula with velocity, acceleration and distance
Now v²=2as
Here v is velocity=2
a is acceleration=5
s is the distance.=15
v²=2×5×15
The multiplication value of 2×5×15 is 150.
v²=150
Take square root on both sides
v=√150
v=12.25 m/s
Therefore final velocity is 12.25m/s.
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Which of the following fractions makes the number sentence true?
2/7 * _ = 2/7
A. 2/5
B. 5/2
C. 5/5
D. 4/4
ABCD is an isosceles trapezoid. m < A = 6x + 12 and m < D = 2x + 20. angles B&C are congruent.
what is the measure of angles B&C?
Answer:
156°
Step-by-step explanation:
Brookfield Furniture needs to ship 119 couches across the country. If they can fit 9 couches in each truck, how many couches will be in the partially full truck?
Answer:
2
Step-by-step explanation:
to find the number of couches in the partially filled truck, divide 119 by 9
119/9 = 13.2222
so 13 cars will contain 9 couches packed fully
number of trucks partially filled = 119 - (13 x 9) = 2
Find the value of x
Step-by-step explanation:
By Exterior Angle Theorem, the sum of the 2 inner angles of the triangle is equal to the exterior angle by a straight line.
Therefore we have x + 72° = 90° + 34°.
=> x + 72° = 124°, x = 52°.
Hence the value of x is 52°.
Pls help and show workings due ASAP!
Answer:
It would be D as they are not congruent as they are to different angles
Step-by-step explanation:
Jennifer's bill for lunch was $15.00
If Jennifer left a 20% tip, which proportion would BEST represent how to find how much tip she should leave?
Answer:
the answer is $3
Step-by-step explanation:
I just looked it up lol
1.
Out of 36 total candies in a jar, and 27 are red. What % of the candies are red?
A. 10% B. 25% C. 75% D. 60%
PLZZZ HELP ASAP
Answer:
C: 75%
Step-by-step explanation:
27 out of 36 are red. You find the percentage by diving 27 by 36 and then moving the decimal place over to the right 2 spaces. 27 / 36 = .75
3x+2y=46 x+y=17 how u solve
Answer: (12, 5)
Step-by-step explanation:
3x + 2y = 46 x + y = 17
Subtract y from both sides of the equation.
x = 17 − y 3x + 2y = 46
Replace all occurrences of x with 17 − y in each equation.
51 − y = 46
x = 17 − y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
Subtract 51 from both sides of the equation.
−y = 46 − 51
x = 17 − y
Subtract 51 from 46.
−y = −5
x = 17 − y
Multiply each term in −y = −5 by −1
Multiply each term in −y = −5 by −1. (−y) ⋅ −1 = (−5) ⋅ −1
x = 17 − y
Multiply (−y) ⋅ −1.
y = (−5) ⋅ −1
x = 17 − y
Multiply −5 by −1.
y = 5
x = 17 − y
Replace all occurrences of y with 5 in each equation.
Replace all occurrences of y in x = 17 − y with 5. x = 17 − (5)
y = 5
Simplify 17 − (5).
Multiply −1 by 5.
x = 17 − 5
y = 5
Subtract 5 from 17.
x = 12
y = 5
The solution to the system is the complete set of ordered pairs that are valid solutions.
(12, 5)
The result can be shown in multiple forms.
Point Form: (12, 5)
Equation Form: x = 12, y = 5
this is a geometry question, please help me asap!!
One year, the population of a city was 330,000. Several years later it was
270,600. Find the percent decrease.
HELP ASAP
Answer:
18%
Step-by-step explanation:
Express the ending population as a percentage of the starting population:
270000 divided by 330000=0.82
0.82 *100=82
subtract from the 100% we started with to get the percent decrease:
100% - 82% = 18
:)
6 cm
The height of the cuboid is 6 cm.
The volume of the cuboid is 90 cm'.
What is the area of the shaded face?
Answer:
[tex]A=15\ cm^2[/tex]
Step-by-step explanation:
Given that,
The height of the cuboid = 6 cm
The volume of the cuboid = 90 cm²
We need to find the area of the shaded face.
The volume of a cuboid is given by the formula as follows :
[tex]V=A\times h[/tex]
A is area of the shaded face
Putting all the values,
[tex]A=\dfrac{V}{h}\\\\A=\dfrac{90}{6}\\\\A=15\ cm^2[/tex]
So, the area of the shaded face is [tex]15\ cm^2[/tex].
A bakery sold 96 vanilla cupcakes in a day, which was 48% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
Step-by-step explanation:
96/x =48%/100
48x=9600
x=9600/48
x=200 cakes
(1) Logan has 6 pounds of paste. Each time he makes dinner he uses 34 pound of
pasta. How many dinners can he make
8 dinner
SHDHSB SSHD EUDXD EJDJXJEX SJDJWIDIJDWN SSHWIJJSJ
Step-by-step explanation:
XJDUXIDB DUDUU
Name all the subsets of the real numbers that 3 belongs to
O Rational, Whole
OInteger, Natural, Whole
O Irrational, Whole
O Rational, Integer
Answer:
Integer, Natural, Whole
Step-by-step explanation:
your to nice (:
Amelie and her friends pick 27 pounds of blueberries. Each pound of blueberries contains 195 blueberries. How many blueberries did Amelie and her friends pick?
Answer:
5,265 blueberries
Step-by-step explanation:
195 blueberries 1 pound
----------------------- x --------------
? 27 pounds
cancel the 1 pound
cross multiply the 195 and 27
Answer:
hi soo i just did this got it right and the correct answer is 5265.
Step-by-step explanation:
ik it might not help now but still work right? hehe
Elliot is promoting a concert and needs to print posters to put up around the city. He gets information from two companies on printing costs. APlus Printing charges a setup fee of $20 and 10 cents for each poster printed. PrintMore, a competing company, charges $55.00 for setup and five cents per poster.
How can Elliot determine which plan will be cheaper?
is there a picture or is it only text?
Guys i posted this question 100times plz answer i beg, thank you so much, plz show all the working
Answer:
x = 45.6
Step-by-step explanation:
NOTE: Please double-check my answer.
To find x, I used Sine Law.
[tex]\frac{x + 5}{sin65}[/tex] = [tex]\frac{x}{sin40}[/tex]
(x+5)sin40 = xsin65
xsin40+ 5sin40 = xsin65
xsin40 - xsin65 = -5sin40
x(sin40 - sin65) = -5sin40 (I factored out the "x")
x = [tex]\frac{-5sin40}{sin40 - sin65}[/tex]
x = [tex]\frac{-3.725565802}{0.74511316 - 0.826828679}[/tex]
x = 45.6
In 7th grade, the ratio of boys to girls is 6 to 7. If there are 143 students in 7th grade, how many are girls? Do NOT write a label. Just write the number.
Answer:
123 if your going to the nearest whole number
Step-by-step explanation:
Since
6 : 7 = X : 143
Then we know
6/7 = X/143
Multiplying both sides by 143 cancels on the right
143 × (6/7) = (X/143) × 143
143 × (6/7) = X
Then solving for X
X = 143 × (6/7)
X = 122.57142857143
Therefore
6 : 7 = 122.57142857143 : 143
What is the solution to this equation?
3x + 8 = 2x - 8
Step-by-step explanation:
[tex] \tt{3x + 8 = 2x - 8}[/tex]
We want to get all the constants on the right hand side of the equation. So , Add 8 on both sides of the equation.
⤏ [tex] \tt{3x + 8 + 8= 2x - 8 + 8}[/tex]
⤏ [tex] \tt{3x + 16 = 2x}[/tex]
Move 2x to left hand side and change it's sign. Similarly , Move 16 to right hand side and change it's sign :
⤏ [tex] \tt{3x - 2x = - 16}[/tex]
Since , 3x and 2x are like terms , they can be added or subtracted. Subtract 2x from 3x :
⤏ [tex] \sf{x = - 16}[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{x = - 16}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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The graph shown represents the distance the Harrison family drove on their vacation. What does the unit rate represent?
Answer:answer is b
Step-by-step explanation:it’s miles per hour not hours per mile
What is 2 times 2? It would be really helpful.
Answer:
2*2=4
Step-by-step explanation:
help me pls HELPPP pls pls OLEASE
Answer:
It is a acute triangle
Step-by-step explanation:
Sammie read at the rate of 25 pages per hour. Alex read at the rate of 1/2 of a pages per minute. Who was reading faster? By how many pages per hour faster?
Answer:
Alex is reading faster by 5 more pages per hour.
Step-by-step explanation:
Alex's rate of reading is 1/2 pages per minute, or 1 page every 2 minutes. To convert his rate to pages per hour, we can divide 60 (minutes in an hour) by 2 (minutes it takes Alex to read a page) which is equal to 30 (pages read in an hour). Therefore, Alex is reading at 30 pages an hour and reading 5 more pages an hour than Sammie.
I NEED HELP ASAP
Write the slope-intercept form of the equation with the given characteristics: Slope: 3/2 Point: (-4,7)
Answer:
[tex]y = \frac{3}{2} x + 13[/tex]
Step-by-step explanation:
1) Use point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to find the slope-intercept form (or y = mx + b form) of the equation. m represents the slope, and [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. So, substitute [tex]\frac{3}{2}[/tex] for m, -4 for [tex]x_1[/tex], and 7 for [tex]y_1[/tex]. Then, simplify and isolate y on the left side like so:
[tex]y-(7) = \frac{3}{2} (x - (-4)) \\y -7 = \frac{3}{2} (x + 4) \\y - 7 = \frac{3}{2} x + 6\\y = \frac{3}{2} x + 13[/tex]
What is the total number of seconds it takes for the teacher to make 1 copy 2 copies 3 copies by how many seonds does the total time increse for each copy
Answer:
For 1 copy it takes 5 seconds, for 2 copy it takes 7 seconds, and for 3 copy it takes 9 seconds.
For each copy, it takes 2 seconds more.
Step-by-step explanation:
A teacher is making multiple copies of a 1-page homework assignment. The time it takes her in seconds is 2 times the number of copies she makes plus 3. What is the total number of seconds it takes for the teacher to make 1 copy? 2 copies? 3 copies? By how many seconds does the total time increase for each copy?
Let the number of copies represented by x and y is the time taken.
The time It takes her in seconds is 2 times the number of copies she makes plus 3.
So the required equation is [tex]y=2x+3[/tex].
To calculate the time taken for the first copy put x=1 in the above equation.
[tex]y=2(1)+3[/tex]
[tex]y=5[/tex]
To calculate the time taken for the first copy put x=2 in the above equation.
[tex]y=2(2)+3[/tex]
[tex]y=7[/tex]
To calculate the time taken for the first copy put x=3 in the above equation.
[tex]y=2(3)+3[/tex]
[tex]y=9[/tex]
Hence, For each copy, it takes 2 seconds more.
11/ Higher Order Thinking Describe a real situation that would fit the
relationship described.
a. A strong, positive association
b. A strong, negative association
amount of money
Help ASAP I have a 54 in math and the rest of my classes I have a 100 pls help
Answer:
The diagonal stripes would require a total of 34 feet of tape.
Step-by-step explanation:
You have six hypotenuses, and you can use the Pythagorean theorem to get their lengths.
The total length of the two big diagonals then is:
2×√(36 + 36)
and the total length of the four small diagonals is
4 ×√(9 + 9)
so the total length is:
2√72 + 4√18
= 12√2 + 12√2
= 24√2
≈ 33.9
Calculate the value of x in the given figure
Answer:
the value of x is 25 degrees
Step-by-step explanation:
Here, we want to get the value of x
we use an important triangle angular principle here
And the principle is that when we add two opposite interior angles, we get the value of the exterior angle on the third side
Thus, mathematically;
x + 75 = 4x
4x-x = 75
3x = 75
x = 75/3
x = 25 degrees
Choose Yes or No to tell if the fraction
5
8
will make each equation true.
8
15
−
□
=
3
7
Choose...
□
−
5
16
=
5
8
Choose...
7
8
−
1
2
=
□
Choose...
3
4
−
1
8
=
□
Choose...
No, 5/8 cannot make the equation [tex]\frac{8}{15}-x=\frac{3}{7}[/tex] to be true
The given fractional equation is:
[tex]\frac{8}{15}-x=\frac{3}{7}[/tex]
To calculate the fraction that will make the equation [tex]\frac{8}{15}-x=\frac{3}{7}[/tex], solve for x in the given equation:
[tex]\frac{8}{15}-x=\frac{3}{7}[/tex]
Collect like terms
[tex]x=\frac{8}{15}-\frac{3}{7}[/tex]
Simplify the resulting fraction as follows:
[tex]x=\frac{56-45}{105} \\\\x=\frac{11}{105}[/tex]
Therefore, the missing fraction that will make the equation [tex]\frac{8}{15}-x=\frac{3}{7}[/tex] true is 11/05
We can conclude that 5/8 cannot make the equation [tex]\frac{8}{15}-x=\frac{3}{7}[/tex] to be true
Learn more here on fractional equations here: https://brainly.com/question/3382177
Since [tex]\frac{5}{8} \neq\frac{11}{105}[/tex], hence [tex]\frac{5}{8}[/tex] will not make the equation true.
Equations and expression
Given the equation
[tex]\frac{8}{15}-a=\frac{3}{7}[/tex]a is the fraction that will make the equation to be equal
Subtract [tex]\frac{8}{15}[/tex] from both sides;
[tex]\frac{8}{15}-a-\frac{8}{15} =\frac{3}{7}-\frac{8}{15}\\-a= \frac{3}{7}-\frac{8}{15}\\-a=\frac{3(15)-7(8)}{105} \\-a=\frac{45-56}{105}\\-a=\frac{-11}{105}[/tex]
Multiply both sides by a negative sign to have:
[tex]-(-a)=-(-\frac{11}{105} )\\a=\frac{11}{105}[/tex]
Since [tex]\frac{5}{8} \neq\frac{11}{105}[/tex], hence [tex]\frac{5}{8}[/tex] will not make the equation true.
Learn more on equation here: https://brainly.com/question/2972832
9) Josie had $89 in her bank account. She recently got a job and is able to save $107 each
paycheck. To represent the situation a student wrote the equation y = 89x + 107. What is
wrong with the students equation? Describe the error and correct it.
Answer: the x should be next to the 107 instead of the 89
Step-by-step explanation: