Answer:
A
Step-by-step explanation:
3x - 7 = 29
What is x
Answer:
x = 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
3x - 7 = 29
Step 2: Solve for x
Add 7 on both sides: 3x = 36Divide 3 on both sides: x = 12Step 3: Check
Plug in x to verify it's a solution.
Substitute: 3(12) - 7 = 29Multiply: 36 - 7 = 29Subtract: 29 = 29Here we see that 29 does indeed equal 29.
∴ x = 12 is a solution of the equation.
What is the image point of (3, -3) after a translation left 3 units and up 4 units?.
Answer:
(0, 1)
Step-by-step explanation:
(x, y)
Left and Right movement deals with the x value
Up and Down movement deals with the y value
3 units left = -3
4 units up = +4
(x - 3, y + 4)
(3 - 3, -3 + 4)
(0, 1)
The image point of (3, -3) after a translation of [tex](-3, 4)[/tex] is [tex](0,1)[/tex].
Determination of the coordinates of resulting point after translationGeometrically speaking, a translation is determined by following formula:
[tex]V'(x,y) = V(x,y) + T(x,y)[/tex] (1)
Where:
[tex]V(x,y)[/tex] - Original point[tex]T(x,y)[/tex] - Translation vector[tex]V'(x,y)[/tex] - Resulting pointIf we know that [tex]V(x,y) = (3, -3)[/tex] and [tex]T(x,y) = (-3, 4)[/tex], then the coordinates of the resulting point are, respectively:
[tex]V'(x,y) = (3, -3) + (-3, 4)[/tex]
[tex]V'(x,y) = (0, 1)[/tex]
The image point of (3, -3) after a translation of [tex](-3, 4)[/tex] is [tex](0,1)[/tex]. [tex]\blacksquare[/tex]
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Find the slope of the line. Enter your answer in simplest form.
Answer:
[tex]m=\frac{-4}{3}[/tex]
General Formulas and Concepts:
Order of Operations: BPEMDASSlope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-6, 5)
Point (3, -7)
Step 2: Find slope m
Substitute: [tex]m=\frac{-7-5}{3-(-6)}[/tex]Simplify: [tex]m=\frac{-7-5}{3+6}[/tex]Subtract/Add: [tex]m=\frac{-12}{9}[/tex]Simplify: [tex]m=\frac{-4}{3}[/tex]Answer:
the slope is -4/3
Step-by-step explanation:
m=y2-y1/x2-x1
-7-5=(-12)
3-(-6)=9
-12/9
-12/3=(-4)
9/3=3
-4/3
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-6t-7=17 what does t equal
Answer:
t=-4
Step-by-step explanation:
I know you don't care about any explanation, and just want the answer, but to get this, you can add 7 to both sides. Then you get -6t=24. Divide both sides by -6 and you get -4
What is the value of c?
Lin’s bike travels 100 meters when her wheels rotate 55 times. What is the circumference of her wheels?
____ m
Answer:
the circumference of her wheel is 1.81 mLin’s bike travels 100 meters when her wheels rotate 55 times.
here, n = 55 rotation and D = 100 meter.
Diameter is the distance bike travel
n is the number of times rotation
C is the circumference of the wheel
Factor Completely
f(x)= x^4 - 2x^3 - 3x^2 + 2x + 2
write 56.78 correct to one significant number
Answer:
60
Step-by-step explanation:
At a food festival, 3/8 of the dishes were from china. Another 12.5% of the dishes were from japan. What percent of the dishes were from the other countries?
Answer: 50%
Step-by-step explanation:
Let x = Total dishes.
Dishes from China = [tex]\dfrac38x[/tex]
Dishes from Japan = [tex]12.5\% \text{ of }x= 0.125x[/tex]
Total dishes from China and Japan = [tex]\dfrac38 x+0.125x=0.375x+0.125x=0.5x[/tex]
Dishes from other countries [tex]= x- 0.5x= 0.5x[/tex]
Percent of dishes from other countries= [tex]\dfrac{0.5x}{x}\times100\%= 50\%[/tex]
Hence, dishes from other countries = 50%
The number of miles a car can drive varies directly with the number of gallons of gas in
the car. If the car can go 81 miles on 3 gallons of gas, how many gallons does the car
need to go 378 miles?
Answer:
14 gallons
Step-by-step explanation:
Answer:
14 gallons
Step-by-step explanation:
What is the value of p? Please provide an explanation, thanks!
Answer:
p = 2?
Step-by-step explanation:
6 - 4 = 2
4 + _ = 6 (2)
2 + 2 = 4
Answer:
Step-by-step explanation:
6p - 4 + 4p + 6 + p + 2 = 180
11p + 4 = 180
11p = 176
p = 16
3. Solve for a
5(a-2) = 2(10+a)
it’s due by midnight and can you also tell me how you got the answer
Answer:
a=10
Step-by-step explanation:
distribute on both sides to get
5a-10=20+2a
add/subtract like terms
5a-2a=3a
20+10=30
so the equation is
3a=30
divide 30 by 3 and you get 10
Answer:
a = 10
Step-by-step explanation:
[tex]5(a - 2) = 2(10 + a) \\ \\ 5a - 10= 20 + 2a\\ \\ 5a - 2a= 20 + 10\\ \\ 3a = 30\\ \\ a = \frac{30}{3} \\ \\ \huge \red{ \boxed{a = 10}}[/tex]
At the Roseville Middle School Spring Festival, Ellen is running the egg-dying station. She
needs 5 tablespoons of vinegar for every 2 color tablets she uses. Ellen plans to use 16 color
tablets.
How many tablespoons of vinegar will Ellen need?
HELP THIS IS AN EMERGENCY
Answer:
40 tablespoons of vinegar
Step-by-step explanation:
the ratio is 2-5 so if you have 16-x you divide 16 by 2 and multiply with your quotient to the 5, which would be
2-5
16-x
16-5^8
16-40
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
5 tablespoons = 2 color tablets.
40 tablespoons = 16 color tablets
The number of tablespoons of vinegar required is 40.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
She needs 5 tablespoons of vinegar for every 2 color tablets she uses.
This means,
5 tablespoons = 2 color tablets.
Multiply 8 on both sides.
8 x 5 tablespoons = 8 x 2 color tablets.
40 tablespoons = 16 color tablets
Thus,
The number of tablespoons of vinegar required is 40.
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What is an equation of the line that passes through the points (7, 6) and (-2, -3)?
Answer:
y=1x-1
Step-by-step explanation:
m=y2-y1/x2-x1
-3-6=(-9)
-2-7=(-9)
-9/-9=1
6=1*7+b
1*7=7
7-7=0
6-7=-1
b=-1
y=1x-1
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solve the equation
-4(x - 26) = -200
Answer:
x=76
Step-by-step explanation:
-4(x - 26) = -200
x-26=50
x=50+26
x=76
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Step-by-step explanation:
-4x+104=-200
-4x=-200-104
-4x=-304
x=-304÷(-4)
×=76
Determine the values of X
Step-by-step explanation:
x+66+52=180
x=180-66-52
x=180-118
x=62
which expression is equivalent to sin(pi/12)cos(7pi/12)-cos(pi/12)sin(7pi/12)? a) cos(-pi/2) b) sin(-pi/2) c) cos(2pi/3) d) sin(2pi/3)
Answer:A
Step-by-step explanation:
Edge 2020
[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].
What is trigonometric expression?Trigonometric expressions are non-routine appearing problems. They are unfamiliar because the language of trigonometry looks foreign and complicated. In order to learn how to simplify or reduce the complexity of trigonometric expressions, we first need to examine the identities we need to utilize.
It is one of the identities of trigonometry
sinAcosB - cosAsinB = sin(A - B)
Given expression
[tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex]
It is in form of sinAcosB - cosAsinB = sin(A - B)
⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{\pi }{12}-\frac{7\pi }{12} )[/tex]
⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-6\pi }{12} )[/tex]
⇒ [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] = [tex]sin(\frac{-\pi }{2} )[/tex]
Hence [tex]sin(\frac{\pi }{12})cos(\frac{7\pi}{12}) -cos(\frac{\pi }{12})sin(\frac{7\pi }{12})[/tex] is equivalent to [tex]sin(\frac{-\pi }{2} )[/tex].
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If f(x) = x2 + 2x + 3, what is the average rate of change of Rx) over the interval (-4, 6]?
Answer:
Step-by-step explanation:
The average rate of change of a function over an interval is simply the slope over the interval because:
[tex]let \: g(x)=f'(x)\\\frac{\int\limits^b_a {g(x)} \, dx }{b-a}(the\:average\:value\:of\:g)=\frac{f(b)-f(a)}{b-a}[/tex]
We have to know f(6) and f(-4)
[tex]f(x) = x^2 + 2x + 3\\f(6) = 6^2 + 2(6) + 3\\f(6) = 36 + 12 + 3\\f(6) = 51\\\\f(-4) = (-4)^2 + 2(-4) + 3\\f(-4) = 16 - 8 + 3\\f(-4) = 11\\\\\frac{f(6)-f(-4)}{6-(-4)} = \frac{51-11}{10} = \frac{40}{10} = 4[/tex]
17. Let f(x) = 2x2 + 5x + 6 and g(x) = 3x2 + 4x – 10.
a Find f(x) + g(x)
b. Find f(x) – g(x)
Step-by-step explanation:
f(x)+g(x)=(2x^2 + 5x +6) + (3x^2 +4x - 10)
Combine like terms
5x^2 + 9x -4
f(x)-g(x)=(2x^2 + 5x +6) - (3x^2 +4x - 10)
Distribute the negative
(2x^2 + 5x +6) + (-3x^2 -4x + 10)
Combine like terms
-x^2 +x +16
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What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases?
A triangular prism.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as the bases
a triangle that may not have the same dimensions as the bases
T-shirts and More Print Shop will print any image on a mouse pad for a cost of $2 per mouse pad and a one-time charge of $12 to set up the mouse pad design. The total cost of an order was $562. How many mouse pads were printed?
A:47
B:275
C:550
D:281
Answer: 275
Step-by-step explanation:
What is 1.19047619048 as a fraction
Answer: 1.19047619048 as a fraction equals 119047619048/100000000000
Step-by-step explanation: To write 1.19047619048 as a fraction you have to write 1.19047619048 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
1.19047619048 = 1.19047619048/1 = 11.9047619048/10 = 119.047619048/100 = 1190.47619048/1000 = 11904.7619048/10000 = 119047.619048/100000 = 1190476.19048/1000000 = 11904761.9048/10000000 = 119047619.048/100000000 = 1190476190.48/1000000000 = 11904761904.8/10000000000 = 119047619048/100000000000
Answer:
119047619048/100000000000
Step-by-step explanation:
To write 1.19047619048 as a fraction you have to write 1.19047619048 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number. And finally, we have: 1.19047619048 as a fraction equals 119047619048/100000000000
write the coordinates obtained after the given translation
Answer:You would just have to add 4 to all of the x values and add 5 to all the y values
Step-by-step explanation:
I need help on the word problem with
hirhgkjsdbgkgbdk kbfsbjd jsbfbdh jabjdbshd jsjdsfkj
Answer: x>11
Step-by-step explanation:
If x = 3 and y = 5, work out the value of 4x-2y and 2x² + 3y²
Answer:
4 × 3 - 2 × 5 = 12 - 10 = 2
2x² + 3y² = 2 × 9 + 3 × 25 = 18 + 75 = 93
The chart shows the distances, in miles, between some towns and cities.
Toby lives in Wrexham and works in Oswestry.
Wrexham
18
Ruthin
a) Use the chart to find the road distance
between Wrexham and Oswestry.
15
21
12
Corwen
15
33
23
Oswestry
Sarah lives in Ruthin and works in Oswestry for
5 days a week. Each day she travels to and
from work using the route shown on the map.
MOLD
ROTHEN
WRESTHAM
b) How many miles, in total, does she travel to
and from work each week? 231 miles
CORNEN
OSWESTRY
Choose CI
Answer:
part a)15
part b)330
Step-by-step explanation:
(a) The road distance between Wrexham and Oswestry is 15 miles.
(b) The number of miles Sarah travels to and from work each week is 330 miles.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
Given a chart of the road distances between various towns and cities.
(a) From the chart,
Distance the corresponds to Wrexham and Oswestry = 15 miles
Road distance between Wrexham and Oswestry is 15 miles.
(b) Distance between Ruthin and Oswestry = 33 miles
Total distance travelled to and from work in a day = 33 × 2 = 66 miles
She works 5 days a week.
Total distance travelled for 5 days = 66 × 5 = 330 miles
Hence the number of miles travelled by Sarah in a week is 330 miles.
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The chart is given below.
There are 9.4 hours of music left on Nate's playlist and this is 47% of the total memory how much memory does Nate's MP3 player have? Please answer
Answer:
Nate's MP3 has 20 hours of memory.
Step-by-step explanation:
1. multiply 9.4 times 100
2. divide that by 47
3. you get your answer of 20 hours