Answer:
We have to use addition or subtraction property of equality to determine the value of variable involve.
Step-by-step explanation:
Example with variable term:
3x=4-x
Add x on both sides of equation:
3x+x=4-x+x
4x=4
x=1
Example with contact involve:
5y+7=12
Subtract 7 from both sides
5x+7-7=12-7
5x=5
x=5/5
x=1
A car accelerates along a straight road, which is 15km long. The car reaches a speed of 75 km/h in 10 s. The average acceleration of the car is
Select one:
A. 2.1 m/s ^2
B. 7.5 m/s ^2
C. 1.5 m/s ^2
D. 5.0 m/s ^2
^2 means exponent
Answer:
I think answer id B.and this will right you make me brillent student
The acceleration will be 2.1 meters per second. The correct option is A.
What is acceleration?Acceleration of any object is defined as the variation in the speed of the object with the variation of the time. Acceleration is a vector term and to define it we require both the magnitude and the direction. The unit of the acceleration can be m / sec², miles / sec², etc.
Given that a car accelerates along a straight road, which is 15km long. The car reaches a speed of 75 km/h in 10s.
The acceleration will be calculated as below:-
Acceleration = Velocity / Time
Velocity = 75 km / h = 75 x ( 5 / 18 ) = 20.83 m / s
Acceleration = Velocity / Time
Acceleration = 20.83 / 10 = 2.08 or 2.1 m / s²
Therefore, the acceleration will be 2.1 meters per second. The correct option is A.
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Sin A 4/5.
Find
COSA + tan A
Answer:
Step-by-step explanation:
The opposite side (the one not connected to A) = 4
The hypotenuse is 5
The adjacent side needs to be found for the cosine and the tangent.
a^2 + b^2 = c^2
a = opposite side = 4
b = adjacent side = ?
c = hypotenuse = 5
4^2 + x^2 = 5^2
16 + x^2 = 25
x^2 = 25 - 16
x^2 = 9
x = sqrt(9)
x = 3
cos(A) = adjacent / hypotenuse = 3/5
Tan(A) = opposite / adjacent = 4/3
cos(A) + tan(A) = 3/5 + 4/3
cos(A) + tan(A) = 9/15 + 20/15 = 29/15
plssssssssssssss help
[tex]\frac{8}{5}[/tex] Converted to decimal is 1.6
Answer:
You are offered two jobs. One with a yearly salary of $51,670, and the other an hourly
job with a rate of $26 per hour. Both require you to work for 45 hours a week. How
much more will you make by taking the hourly job?
Step-by-step explanation:
a year = 52 weeks
a year working hours = 45× 52 = 2340 hours
first job rate per hour = $51670 ÷ 2340 hours
= $22
sec job rate per hour = $26
A cell phone tower casts an
post
80-foot shadow. At the same time, a 6-foot fence
casts a shadow of 4 feet. What is the height of the tower?
i need help ;^; please
Answer:
[tex] \sqrt{3 {x}^{2} {y}^{3} } \times 2 \sqrt{72 {x}^{3} {y}^{4} } \\ = 2 \sqrt{3 {x}^{2} {y}^{3} 72 {x}^{3} {y}^{4} } \\ = 2 \times 6 \sqrt{6} \times \sqrt{ {x}^{5} {y}^{7} } \\ 12 \sqrt{6} {x}^{2} {y}^{3} \sqrt{xy } \\ 12 {x}^{2} {y}^{3} \sqrt{6xy} \\ thank \: you[/tex]
12x^2y^2 -_/6xy
thats the answer you're looking for
write 0.32 repeating as a fraction in simplest form.
Answer:
0.32 repeating as a fraction
= 32/99
Step-by-step explanation:
The fraction in simplest form that represents the repeating decimal 0.32 repeating is 32/99.
To express the repeating decimal 0.32 repeating as a fraction in simplest form, we can use the concept of geometric series.
Let's represent 0.32 repeating as x:
x = 0.323232...
Multiply both sides of the equation by 100 to shift the decimal point two places to the right:
100x = 32.323232...
Now, subtract the original equation from the shifted equation to eliminate the repeating part:
100x - x = 32.323232... - 0.323232...
Simplifying the equation:
99x = 32
Divide both sides of the equation by 99 to solve for x:
x = 32/99
Therefore, the fraction in simplest form that represents the repeating decimal 0.32 repeating is 32/99.
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Write the equation of the circle centered at (4, - 9) with diameter 16.
HELP A GIRL OUT
Answer:
16= (x-4)^2 +(y+9)^2
Step-by-step explanation:
hey! The formula for the equation of a circle is r^2= (x-h)^2 + (y-k)^2
r= the radius (in your case you have the diameter so you do not need to square it)
(h,k)= is the center coordinates, so your center coordinate would be (4, -9). You now have your h (h=4) and your k (k=-9) so you can plug it in the formula! :)
a nice rating would help out
From a population of size 600, a simple random sample of size 58 is selected. The sample mean is 400, and the sample standard deviation is 40. An approximate 95% confidence interval for the population total is _____. a. 350 to 400 b. 350,000 to 450,000 c. 234,010 to 245,990 d. 390 to 409
Answer:
b. 350,000 to 450,00
Step-by-step explanation:
if two points lie in a plane, then_______
Answer:
the line containing them lies in the plane.
Step-by-step explanation:
If two planes intersect, then their intersection is a line.
If two points lie in a plane, then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.
I hope this answer can help you ♥️
Please help I know it’s a lot ...?
Answer:
1. 3g - 24 = 5
2. 5y + 3 = -38
3. 2x + 4 = 45
4. 1/2n - 10 = 30
5. 5n - 6 = 5
6. 6n - 7 = 10
Step-by-step explanation:
not sure if you wanted what the variables equal if you do leave a comment
Which of the following correctly models 8 square
Answer:
A
Step-by-step explanation:
please help me with this math is for my math homework
Answer:
5
Step-by-step explanation:
Step-by-step explanation:
[tex] \frac{137}{24} [/tex]
or
[tex] \frac{137}{24} or \: 5 \frac{17}{24} [/tex]
hope that helps you
Alan has $115.78 in his savings account. He earns $15.00 cleaning out
the garage and puts $7.50 into savings. He withdrawals $35.90 to buy
a video game. He receives $20 from his grandfather and deposits $15
of it into his savings account. What is Alan's balance now?
Answer:
$137.33
Step-by-step explanation:
$115.78 + $15.00 = $130.78
$130.78 + $7.50 = $138.28
$138.28 - $35.90 = $102.33
$102.33 + $20.00 = $122.33
$122.33 + $15.00 = $137.33
Chow,...!
Nick's bank accout balance was $21. If he
writes a check for $30 and his bank charges
him $35 for overdrawing his account, find
his account balance.
Answer:
56
Step-by-step explanation:
The final model from the Example is shown.
Draw a line around the part of the model that
represents 1 square yard.
Please help thank you
Answer:
Can anyone check out my page and answer my question??
Step-by-step explanation:
.
The area of the given model is 4/6 square yards.
What is the area of a rectangle?The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.
From the given figure, length of a rectangle is 4/3 yards and the width is 1/2 yards.
Here, area of a model is 4/3 × 1/2
= 4/6 square yards
Therefore, the area of the given model is 4/6 square yards.
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Please help me!! Find the equation of the line that is perpendicular to y=1/6x+3 and contains the point (-3,23).
Answer:
[tex]\displaystyle y = -6x + 5[/tex]
Where ? = -6.
Step-by-step explanation:
We want to find the equation of a line that is perpendicular to:
[tex]\displaystyle y = \frac{1}{6} x + 3[/tex]
And contains the point (-3, 23).
Recall that the slopes of perpendicular lines are negative reciprocals of each other.
The negative reciprocal of 1/6 is -6. Hence, the slope of the perpendicular line is -6.
We are also given that it passes through the point (-3, 23). Since we know the slope and a point, we can consider using the point-slope form:
[tex]\displaystyle y - y_1 = m(x - x_1)[/tex]
Substitute:
[tex]\displaystyle y - (23) = -6(x - (-3))[/tex]
Simplify:
[tex]\displaystyle y - 23 = -6 (x+3)[/tex]
Distribute:
[tex]\displaystyle y - 23 = -6x - 18[/tex]
And add. Hence:
[tex]\displaystyle y = -6x + 5[/tex]
In conclusion, our equation is:
[tex]\displaystyle y = -6x + 5[/tex]
Where ? = -6.
Find the 9th term of the geometric sequence 5, -25, 125, ..
Answer:
5^9
Step-by-step explanation:
bn= b1*r^(n-1)
b9=b1*r^8
r=-25/5=-5
b9= 5*5^8=5^9
13. R(-9, 4) and S(2, -1); Find T.
Answer:
you dont have enough information
Step-by-step explanation:
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
- m-{ =2+3m
2
3
.
4.
05
Answer:
4 is the correct answer.
Number "4" can each term of the equation be multiplied by to eliminate the fractions before solving.
What is algebraic Expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
To eliminate the fractions in the equation -3/4m -1/2m=2+1/4m, we need to find the least common multiple (LCM) of the denominators of the fractions, which is 4.
We can then multiply each term of the equation by 4 to eliminate the fractions.
So, multiplying both sides of the equation by 4, we get:
-3m - 2m = 8 + m
To simplifying, we have:
-5m = 8 + m
To solve for m, we can isolate the variable on one side of the equation. Adding 5m to both sides, we get:
4m = 8
Finally, dividing both sides by 4, we get:
m = 2
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What is the volume of the following rectangula
prism?
4
units
3
23
units
4
SORRYYYYYYYYYYYYYYY I DONT KNOWWWWW
If jonny has 19 apples then adds 19 more apples to his collection how many does he have
Answer:
it should be 38
Step-by-step explanation:
Just add 19 more to the amount you already have.
if you buy a 5 bananas for 3 dollars how much is one
1.6667
that's the answer cause I said so
what is the answer of this question plzzzzzzzzzzz say fast
Answer:
[tex]1=3=70^{0} \\2=4=5=110^{0}[/tex]
Step-by-step explanation:
Given angle is 110°
Now,
[tex]4=2\,\,and\,\,4=5\,\,;[vertical\,\,angle\,\,and\,\,corresponding\,\,angle\,\,respectively ][/tex]
From the figure,
[tex]4=110^{0}\,\,;[alternate\,\,angle][/tex]
[tex]So,\,\,2=5=110^{0}[/tex]
And, as 1,2,3,4 are vertical angles and 2 = 4 = 110°
1 = 3 = 180° - 110° = 70°
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Answer:
angle 1 =70 degrees
angle 2 =110 degrees
angle 3 =70 degrees
angle 4 = 110 degrees
angle 5 =110 degrees
Step-by-step explanation:
1) 110+ angle 1=180(allied angles)
angle 1=180-110
angle 1=70 degrees
2)angle 2+ angle 1=180(angles on a straight line)
angle 2+ 70 =180
angle 2 =180-70
angle 2 =110 degrees
3)angle 3+ angle 2=180(angles on a straight line)
angle 3+ 110 =180
angle 3 =180-110
angle 3 =70 degrees
angle 3 can be taken as vertically opposite angles(70 degrees)4)angle 4 = 110 degrees (vertically opposite angles)
5)angle 5+ angle 3=180(allied angles)
angle 5+ 70 =180
angle 5 =180-70
angle 5 =110 degrees
Hope you got this .......
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There are many ways to do these sums but the answer should be correct......
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help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
Answer:
x = 4
Step-by-step explanation:
[tex]-5(x-1)-x+1=-18\\\\-5x+5-x+1=-18\\\\-6x+6=-18\\\\-6x=-24\\\\x=4[/tex]
Answer:
x = 4
Step-by-step explanation:
-5 ( x - 1 ) -x +1 = -18
solve the brackets first
-5x + 5 - x + 1 = -18
-5x -x +5 +1 = -18
-6x + 6 = -18
-6x = -18 - 6
-6x = -24
x = -24 / -6
x = 4
The lines shown below are perpendicular. Find the slope-intercept form of the equation of line y2.
Answer:
y = -1/3x + 4
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals of each other. The equation for line y1 is 3x - 4 The slope is the coefficient of x, which is 3. That means the slope of line y2 is -1/3, because it's the negative reciprocal. As for the y-intercept, just look for the point on the y-axis that the line intercepts. If we look closely, we can see it intercepts point (0,4) on the y-axis. Therefore, the slope-intercept form equation for line y2 is: y = -1/3x + 4.
Answer:
y=5-x/3
Step-by-step explanation:
someone help please :)
Answer:
its basically a Cross
the point they cross is p
and the 2 lines are AB and RS
I hope I'm correct.And yea
.hope it helps
please help asap and show work pls
Answer:
Answers are a. 8, b. 10, c. -2, d. invalid
Step-by-step explanation:
a.
[tex]f(x)=|x|\\So, f(8)=|8|=8\,;[Modulus\,\,is\,\,always\,\,the\,\,positive\,\,value][/tex]
b.
[tex]f(x)=3^x+1\\f(2)=3^2+1=9+1=10[/tex]
c.
[tex]f(k)=\frac{k}{2}+1\\f(-6)=\frac{-6}{2}+1=-3+1=-2[/tex]
d.
[tex]f(x)=\sqrt{x-5} \\f(3)=\sqrt{3-5}=\sqrt{-2}\\There\,\,is\,\,no\,\,real\,\,solution\,\,for\,\,root\,\,of\,\,a\,\,negative\,\,number[/tex]
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If the value of the x=4 y=3 and z=-2 find value of
A. (x+y)² - 2z B. 2xy-3z C. 2x²-4y+z
Step-by-step explanation:
A=(4+3)²-2(-2)=7²+4=49+4=53
B=2(4)(3)-3(-2)=24+6=30
c=2(4)²-4(3)+(-2)=2(16)-12-2=32-14=18
Acme T-Shirt Company charges a $50 set-up fee plus $9 for each shirt printed. Beta T-shirt Company has no set up fee, but charges $14 per shirt. What is the minimum number of shirts for which a customer saves money by using Acme?
Answer:
Step-by-step explanation:
Acme Company:
Let the number of shirts = x
Cost = 50 + 9x
Beta Company:
Cost = 14x
50 + 9x < 14x
Subtract 9x from both sides
50 < 14x - 9x
50 < 5x
Divide both sides by 5
50/5 < x
10 < x
Minimum number of shirts for which a customer saves money by using Acme = 11 T-shirts