[tex]\text{Solve for x:}\\\\\frac{1}{2}(10x-2) +3x = 25\\\\\text{Distribute the 1/2 to the numbers inside the parenthesis}\\\\5x-1+3x=25\\\\\text{Combine like terms:}\\\\8x-1=25\\\\\text{Add 1 to both sides}\\\\8x=26\\\\\text{Divide both sides by 8}\\\\x=\frac{26}{8}\\\\\text{Simplify the fraction by dividing by 2}\\\\\boxed{x=\frac{13}{4}}[/tex]
The solution to the problem 1/2 (10x-2) +3x = 25 is x = 3.25 which is obtained by expanding the equation, combining like terms, isolating the variable, and then solving for the variable.
Explanation:Let's solve the equation 1/2 (10x-2) +3x = 25 step by step to find the solution to this problem.
Firstly, expand the equation: 1/2 * 10x is 5x, and 1/2 * -2 is -1. Therefore, the equation becomes 5x - 1 + 3x = 25.
Next, combine like terms on the left side of the equation. 5x + 3x is 8x, so you have 8x - 1 = 25.
Then, add 1 on both sides to isolate 8x on the left side. The equation becomes 8x = 26.
Finally, divide both sides by 8 to solve for x. Therefore, x = 26 / 8 = 3.25.
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A number cube for a game has six sides numbered 1–6. Find the probability that the number cube will land on a multiple of 2.
Answer:
50%
Step-by-step explanation:
2, 4, and 6 are all multiples of 2. Those are 3 numbers out of 6.
3/6 = 1/2
1/2= 50/100
50/100= 50%
Answer:
The probability that it lands on a multiple of 2 is 1/2
Step-by-step explanation:
1 2 3 4 5 6
There is 6 numbers and 3 numbers which is half are multiples of 2.
This makes half of the numbers multiple of 2 and half not.
or look at as odd and even.
the multiples of 2 are even and the non-multiples of 2 are odd.
Hope this helps.
Answer with A B C D. Correct answer gets brainlest.
Answer:
B
Step-by-step explanation:
Answer: B
Step-by-step explanation:
What is the arc measure of BDC in degrees?
y=7x + 10
y=-4x – 23
Answer:
x = -3
y = -11
Step-by-step explanation:
to solve this linear equation using substitution method
let us say that
y=7x + 10.........................................................equation 1
y= -4x – 23...................................................... equation2
substitute equation 1 into equation 2
7x + 10 = -4x - 23
collect the like terms
7x + 4x = -23 -10
11x = -33
divide both sides by the coefficient of x which is 11
11x/11 = -33/11
x = -3
put the value of x = -3 into equation 2
y= -4x – 23...................................................... equation2
y = -4(-3) - 23
y = 12 - 23
y = -11
therefore the value of x and y is -3 and -11 respectively
Solution is x=-3 , y=-11.
We set the ys equal.
[tex]7x+10=-4x-23\\7x+4x=-23-10\\11x=-33\\x=-3[/tex]
For x=-3,
[tex]y=7x+10\\y=7(-3)+10\\y=-21+10\\y=-11[/tex]
Solution is x=-3 , y=-11.
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if sin(x) = 0 and cos(x) = 1, what is cot(x)?
Answer:
undefined
Step-by-step explanation:
Sin(x) = 0 where x = 0
Cos(x) = 1 where x = 0
Cot(0) is undefined
Undefined.
Trigonometry:The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (cosec).Given -
[tex]sin(x)=0\\cos(x)=1[/tex]
So [tex]cot(x)=-[/tex].
Therefore, [tex]cot(x)[/tex] is undefined.
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At the grocery store, Terry weighed his apples on the scale. They weighed 4.3 pounds. When he went to the register, he was charged $8.56. How much did Terry pay per pound of apples?
Answer:
$1.99
Step-by-step explanation:
Cost per pound = Total cost / weight of the apples
[tex]=\frac{8.56}{4.3}\\\\=\frac{8.56*10}{4.3*10}\\\\=\frac{85.6}{43}\\\\=1.99[/tex]
Answer:
$1.99
Step-by-step explanation:
You have to divide $8.56 by 4.3 pounds. Once done, you should have gotten approximately $1.99. You can double check it by multiplying $1.99 by 4.3 and you should get $8.56.
Sketch the graph of the inequality.
Answer: D. Check Desmos for confirmation. Its your best friend for Graphing.
Step-by-step explanation:
A 2-pack of notebooks costs $3.00. What is the unit price? per notebook
Answer:
$1.50
Step-by-step explanation:$3.00/2 is $1.50 hope this helps god bless
Answer:
The unit price is 1.50, you just needed to divide by two to see how much one note book costs.
Hope this helps <3
Help, I'm really stuck on this, has to be in by tomorrow! The question = Describe fully the single transformation that maps shape A onto shape B
Answer:
One thing for sure is that there is a reflection along the x-axis
Step-by-step explanation:
Answer:
reflection
Step-by-step explanation:
its a reflection across the X axis
reflection is to turn a shape across an axis
other transformations are:...
translation= to slide a shape up or down left or right when they give u the units
dilation= to make a shape bigger or smaller with they center of dilation that they give
rotation= turn a shape depending if its clockwise or counter clockwise and they will give u a degree
hope this helped
Use the inequality to help you complete the statements.
j < –0.65
Answer:
the variable is j, in equality symbol is < , constant is -0.65,
Step-by-step explanation:
:D Took asignment got it right
Answer:
A table titled inequality symbols contains the symbols for less-than and greater-than.
Use the inequality to help you complete the statements.
j < –0.65
The variable in the inequality is
✔ j
.
The inequality symbol is
✔ <
.
The constant in the inequality is
✔ -0.65
.
Step-by-step explanation:
Can someone personally help me with geometry and area? Please I have more questions like that
Answer:
272
Step-by-step explanation:
Finding the area on this problem has only a couple steps. First I divided the picture into two parts a rectangle and a triangle. I first found the area of the rectangle. The formula to finding a rectangle is base times height. In this case the base has a length of 19 in and has a height of 8 in. So the area of the rectangle would be 19*8= 152. Now we find the area of the triangle. To find the area of a triangle you use the formula base*height*1/2. In this case you do 20 * 12 * 1/2 = 120. Now for the last step add the areas together in this case 152+120=272. If you need help with finding the lengths reach out to me.p.s. I’m not actually 61Answer:
The area of the shaded region is 272 in²
Step-by-step explanation:
Since it is an odd shape, the real height(20 inches according to the picture) will help us alot. But first you'll want to split the shapes. and find the areas seperately in a way. I see a rectangle on the top and triangle on the bottom. Lets find the area of the rectangle first.
To find the area, you have to multiply length and width.
A = L x W
19 x 8 = 152(the area)
So now we know the area of the rectangle, but what about the triangle? Since there is no exact base measurement for the triangle, we will add the length of the rectangle(19) and the 1 inch.
19 + 1 = 20
So the base for the triangle is 20.
To find the height of the triangle, subtract 8(the rectangle's width) from the overall height(20 inches).
20 - 8 = 12
A = [tex]h_{b}[/tex]b ÷ 2
A= 120(area)
That is not the overall area yet, we have to add the two areas now.
152 + 120 = 272
That is how you find the area for this, let me know if you need anymore help.
9.5g of sugar is needed for every cake made. How much sugar is needed for 6 cakes?
Answer: 57
Step-by-step explanation:
Since you need 9.5 grams of sugar for each cake, and you need enough for 6 cakes, you need to multiply 9.5 to 6. Your final answer should be 57.
Answer:
39.2
Step-by-step explanation:
4 times 9.5 equals 39.2
For the diagram shown, x = 80 and y = 30. Determine the value of z. A) 20 B) 40 C) 50 D) 100
Answer:D
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
How many solutions does the system have?
y = -7x + 8
y = -7x - 8
Choose 1 answer:
Answer:
No solutions
Step-by-step explanation:
If we try to solve this system for y at x = 1, we get an impossible situation:
[tex]y=-7(1)+8=-7+8=1\\y=-7(1)-8=-7-8=-15\\1=-15[/tex]
Clearly, 1 ≠ -15, and we'll see that any value of x that we pick gives us two contradictory values for y, so this system has no solutions.
HURRY TIME LIMIT
y + 2 = negative 2 (x minus 5)
What is the equation in slope-intercept form?
Answer:
[tex]y = -2x + 8[/tex]
Step-by-step explanation:
Step 1: Solve
[tex]y + 2 = -2(x - 5)[/tex]
[tex]y + 2 - 2 = -2x + 10 - 2[/tex]
[tex]y = -2x + 8[/tex]
Answer: [tex]y = -2x + 8[/tex]
Answer:
y= -2x + 12
Step-by-step explanation:
y +2 = -2 ( x - 5 )
y+2 = -2x + 10
-2 -2
y= -2x + 12
What is the probability of rolling at least one 5 or 6 when rolling the dice three times?
Answer:
19/27
Step-by-step explanation:
Each time that you roll a dice, there is a 1/3 chance you get a 5/6(assuming you have a fair dice). The probability of rolling that atleast once is the inverse of the probability of rolling a 1-4 each time. There is a [tex]\frac{2}{3}[/tex] chance each time you roll the dice. Thus raising this to the third power results in [tex]\frac{8}{27}[/tex]. Since we are looking for the inverse probability, we can do:
[tex]1-\frac{8}{27}[/tex] In order to get our final answer.
The Monarch Butterfly is essential to the pollination process of many native and farmed North
American plants. These butterflies migrate thousands of miles over several months. A Florida
Department of Forestry outpost in Hawthorne, Florida has been tracking their population since
the 2005 migration cycle.
-Part B: Of the following choices, which equation is the best fit line for the data? *
(1 Point)
f(x)=34x-320
f(x)=-34x-320
f(x)=34x+320
f(x)=-34x+320
Answer:
f(x)=-34x+320
Step-by-step explanation:
In the picture attached, the graph of the problem is shown.
From the picture we know that the best fit line for the data must have:
positive y-interceptnegative slopeThese two features are only satisfied by the last option.
Cole is studying employment trends.
He found that 20% of the social workers he surveyed, or 45 social workers,
work part time. How many social workers did Cole survey altogether?
Answer:
225
Step-by-step explanation:
So we know that 20% of the social workers he surveyed was 45 people. The easiest way to find all 100% of the social workers is to do 45 x 5 because 20% x 5 = 100%. So 45 x 5 = 225.
Hope this helped! :)
If g(x ) = 3x + 1, evaluate g(-14). -5 -10 -41
Answer:
-41
Step-by-step explanation:
g(x) = 3x + 1
g(-14) = 3*(-14) + 1
= -42 + 1
= -41
solve 5(3)x + 3 - 2 = 38 using logarithmic properties. Round your answer to three decimal places.
Answer:341/135
Step-by-step explanation:
Answer:
-1.107
Step-by-step explanation:
Suppose h(t) = -0.2t? + 2t models the height, in feet, of a ball that is kicked into the air where t is
given as time, in seconds.
After how many seconds does the ball reach its maximum height?
seconds
What is the maximum height of the ball?
After how many seconds does the ball reach the ground?
seconds
Answer:
Below in BOLD.
Step-by-step explanation:
h(t) = -0.2t^2 + 2t
We can find the maximum height and the time by converting to vertex form:
h(t) = -0.2(t^2 - 2t)
= -0.2[(t - 1)^2 - 1)
= -0.2(t - 1)^2 + 0.2
The time to get to maximum height = 1 second and the maximum height is 0.2 m.
When the ball reaches the ground h = 0 so
-0.2(t - 1)^2 + 0.2 = 0
(t - 1)^2 = -0.2 / -0.2 = 1
t - 1 = 1
t = 2 seconds.
He ran 220 meters farther than she ran she ran 2.4 kilometers.how many kilometers did he run
Answer:
He ran 2.62 km
To own and operate a home printer, it costs $100 for the printer and an additional $0.05 per page for ink. To print out pages at an office store, it costs $0.25 per page. Let p represent number of pages.
(1) For the costs to be the same, how many pages do you need to print?
(2) How much does it cost to print that many pages?
Answer:
1.) 500 pages
2.) $125
Step-by-step explanation:
Given that the printer cost $100. To operate at home will cost
100 + 0.05P
To print out pages at an office store, it will cost 0.25P
1.) For the costs to be the same, then
100 + 0.05P = 0.25P
0.25P - 0.05P = 100
0.20P = 100
P = 100/0.2
P = 500 pages
500 pages need to be printed
2.) How much does it cost to print that many pages?
Cost = 0.25P
= 0.25 × 500
= 125 dollars
Answer: (1) You would need to print 500 pages
(2) To print 500 pages from home would cost $125
Step-by-step explanation: The cost of printing at home has been given as a fixed cost of 100 plus an additional variable cost of 0.05 per page for ink, that is, Cost = 100 + 0.05p. Also, to print at the office, the cost has been given as 0.25 per page, that is, Cost = 0.25p.
Therefore for the costs to be the same, we need to equate both cost functions (that is, C = C) as follows;
100 + 0.05p = 0.25p
Collect like terms and we now have,
100 = 0.25p - 0.05p
100 = 0.20p
Divide both sides of the equation by 0.2
500 = p
To print 500 pages at home therefore would cost,
C = 100 + 0.05p
C = 100 + 0.05(500)
C = 100 + 25
C = 125
Therefore to print 500 pages from home would cost $125
-12m-8m+5=-25m-20 solve equation
Answer:
m=-5
Step-by-step explanation:
Given: -12m-8m+5=-25m-20
Combine like terms on left side: -20m+5=-25m-20
Add 25m to both sides: 5m+5=-20
Subtract 5 on both sides: 5m=-25
Divide both sides by 5: m=-5
So m=-5
Answer:
m = -5
Step-by-step explanation:
-12m-8m+5=-25m-20
Combine like terms
-20m +5 = -25m -20
Add 25m to each side
-20m+25m+5=-25m+25m-20
5m +5 = -20
Subtract 5 from each side
5m+5-5=-20-5
5m = -25
5m/5 = -25/5
m = -5
The figure is made up of a semicircle and a triangle. Find the perimeter. Round your answer to the nearest hundredth.
Perimeter of figure = π*r * sum of all three sides
Step-by-step explanation:
Perimeter of a figure with semicircle and triangle .-
Perimeter of semicircle is = π*r
Perimeter of triangle = sum of all three sides
Perimeter of figure = π*r * sum of all three sides
we can't round up here as no value is given in question .
Would the value of{2+ [(15 – 3) – 61} = 2 change if the braces were removed? Explain.
On a scale drawing with a scale of 1cm:4.5 m, the height of a tree is 2.4 cm. how tall is the actual tree?
Answer:
10.80
Step-by-step explanation:
1cm:4.5 meters
So if one cm is 4.5 meters, just multiply 2.4 by 4.5.
2.4*4.5=10.8
Which of the following is most likely the next step in the series?
Answer:
the answer is C
Which rule describes the translation?
O (x, y) = (x–8, y-3)
* (x, y) = (x-3, y + 3)
O (x, y) + (x+8, y-3)
O (x, y) + (x + 3, 7 + 8)
Answer:
c
Step-by-step explanation:
on ed 2020
Answer:
C) (x, y) → (x + 8, y – 3)
Step-by-step explanation:
If the radius of a circle is 15 units and the center
of the circle is (−3, 2), what is the equation of
the circle?
A. (x − 2)2 + (y + 3)2 = 30
B. (x + 2)2 + (y − 3)2 = 225
C. (x + 3)2 + (y − 2)2 = 225
D. (x − 3)2 + (y + 2)2 = 15
HELP ME PLEASE
Answer:
(x+3)^2 + (y-2) ^2 = 225
Step-by-step explanation:
We can write the equation of a circle in the form
(x-h)^2 + (y-k)^2 = r^2
where (h,k) is the center and r is the radius
(x- -3)^2 + (y-2) ^2 = 15^2
(x+3)^2 + (y-2) ^2 = 225