Simplify the left side of the equation using the distributive property.
5(a+3) = 5*a + 5*3 = 5a + 15
Now the equation looks like this: 5a + 15 = 8a
Next we want to put all the variables on the same side.
In this case, the easiest way to do this is subtract 5a from both sides.
5a + 15 - 5a = 8a - 5a
15 = 3a
In order to isolate a, divide both sides by 3
15/3 = 3a/3
5 = a
Answer: a = 5Five years ago, one share of stock was worth $28.00. Today, one share of the stock is worth $62.00.What was the percent of change?
25 POINTS !!!
Answer:
44%
Step-by-step explanation:
Here's the equation: Account= principle x time x interest rate. In this problem, it would be $62 = $28 times 5 times X. $62=140x. 0.44. 44%.
a mental alloy weighing 4mg and containing 20% iron is melted and mixed with 12mg of a different alloy which contains 40% iron. What percent of the resulting alloy is iron?
Answer:
60%
Step-by-step explanation:
Add both of the results
Can someone tell me if my answer is right and if not what the answer is?
You're really close. lol.
the slope of the line isn't negative though.
when the line is moving up to the right, it's positive.
the y-intercept is also positive. the y-intercept is where the line intercepts with the y-axis. if you look at the graph, you'll see that the line intercepts with the y-axis at +8 instead of -8
The answer is:
C. y = 1/4x + 8
Answer:
No that's wrong it is the third one.
Step-by-step explanation:
The line is on a positive slope so it has to be a positive x-value. Also, the y intersect is at positive 8.
Find the 65th term of the arithmetic sequence -30, -41, -52, ...
In an arithmetic sequence, the difference between one term and the next is constant.
The 65th term of the arithmetic sequence is -734
Given the following arithmetic sequence:
-30, -41, -52 The standard formula for the nth term of an arithmetic sequence is given as
a(n) = a + (n - 1)d
Where a = first term
n = number of term
d = common difference
Let find the common difference
Common difference = second term - first termCommon difference
= -41 - (-30)
Common difference = -41 + 30
Common difference = -11
Common difference = -52 - (-41)
Common difference = -52 + 41
Common difference = -11
Hence, the common difference
= -11
let:
a = -30n
= 65d = -11a(65)
= -30 + (65 - 1) * -11a(65)
= -30 + (64)*-11a(65)
= -30 + (-704)a(65)
= -30 - 704a(65)
= -734
Hence, the 65th term of the arithmetic sequence is -734
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BRAINLIEST ANSWER TO FIRST ANSWERER!!!!
In DEF sin D= 24/26 what is cos E
Answers in pic
Answer:
B) 24/26
Step-by-step explanation:
The ratio of sine is opposite/hypotenuse. This means the side opposite angle D, EF, has length 24 and the hypotenuse, DE, has length 26.
The ratio of cosine is adjacent/hypotenuse. For cos E, we want the side adjacent to E (EF) and the hypotenuse (DE). Using these, we have the ratio 24/26.
In DEF, sin D= 24/26 , then cos E = 24/ 26. Option B) 24/26 is correct.
What are trigonometric ratios ?Trigonometric ratios are defined as the sides and angles of a right-angled triangle are deal with in Trigonometry.
We have,
In DEF sin D= 24/26
Using Pythagoras Theorem,
[tex]P^2 + B^2 = H^2\\\\EF^2 +FD^2 = EF^2\\\\24^2 + FD^2 = 26^2\\\\FD^2 = 676 - 576\\\\FD^2 = 100\\\\FD = 10[/tex]
But, cos E = EF / ED
cos E = 24/ 26
Hence, we can say that In DEF, sin D= 24/26 , then cos E = 24/ 26.
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how would you do this?
Please help and fast thanks
Answer:
im pretty sure thats B
Step-by-step explanation:
Complex root of x^2+3x+9=0
[tex]\text{Quadratic formula}[/tex]
[tex]ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a};\ x_2=\dfrac{-b+\sqrt\Delta}{2a}[/tex]
-----------------------------------------------------------------------
[tex]x^2+3x+9=0\\\\a=1;\ b=3;\ c=9\\\\\Delta=3^2-4(1)(9)=9-36=-27\\\\\sqrt\Delta=\sqrt{-27}=\sqrt{(27)(-1)}=\sqrt{27}\cdot\sqrt{-1}=\sqrt{9\cdot3}i=\sqrt9\cdot\sqrt3i=3\sqrt3i[/tex]
[tex]x_1=\dfrac{-3-3\sqrt3i}{2(1)}=-\dfrac{3}{2}-\dfrac{3\sqrt3}{2}i\\\\x_2=\dfrac{-3+3\sqrt3i}{2(1)}=-\dfrac{3}{2}+\dfrac{3\sqrt3}{2}i[/tex]
[tex]i=\sqrt{-1}[/tex]
Can some one help me with is question?
You want to determine your speed running across the room. What is one piece of data you need?
A) The distance you run
B) When you start your stopwatch
C) How big each step is
D) How fast you are moving
I know its not C)
Answer:
D) How fast you are moving
While all the others are useful information (except C), you are trying to solve for your speed, or mph. How fast you are moving is also solved using mph (or something like it).
speed = mph = how fast you are moving ∴ speed = how fast you are moving
~
Answer:
Choice A
Step-by-step explanation:
You need the distance and the time, which are D and T respectively. The speed or rate is R = D/T. You divide the distance over the time. Example: if run 10 miles in 2 hours, then your speed is R = D/T = 10/2 = 5 mph.
Choice A is correct because we need the distance.
Choice B is close to knowing the time T, but we would need to know the duration and not when the stopwatch was clicked on. In other words, we need to know the difference in when it was started and stopped. Simply knowing the starting point isn't enough. We can cross this off the list.
Choice C is close to what choice A is saying, but choice A is more accurate. We can cross this off the list.
Choice D is what we want to know. If we know how fast we're moving, then there's no need to calculate the speed. So we can cross choice D off the list as well.
One rectangle measures 2 units by 7 units. A second rectangle measures 11 units by 37 units. Are these two figures scaled versions of each other? If so, find the scale factor. If not, briefly explain why. (No picture involved with this)
Answer:
see below PLEASE GIVE BRAINLIEST
Step-by-step explanation:
does 2 by 7 = 11 by 37
11/2 = 5.5
7 x 5.5 = 38.5
No, these two figures are not scaled versions of each other. 11 is 5.5 times larger than 2 which means to be a scaled version we would multiply 7 by 5.5.
7 x 5.5 = 38.5
In order to be a scaled version the second recangle would need to be 11 by 38.5
The second rectangle is a scaled version of the first rectangle with a scale factor of 1/5.5.
What is a scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.
To determine if two figures are scaled versions of each other, we need to compare their corresponding side lengths.
The ratio of the corresponding side lengths is the same for both figures, then they have scaled versions of each other.
As per the question, the first rectangle has sides with lengths 2 and 7 units, while the second rectangle has sides with lengths 11 and 37 units.
So, the ratio of the corresponding side lengths is 2/11 = 7/37.
The scale factor is the ratio of the corresponding side lengths.
In this case, the scale factor is 2/11 = 1/5.5.
Therefore, the second rectangle is a scaled version of the first rectangle with a scale factor of 1/5.5.
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drinking 6 fluid ounces of milk provides 202.5 mg of calcium how many fluid ounces of milk are required to provide 52.5 mg of calcium round to the nearest tenth
Answer:
2 fluid ounces.
Step-by-step explanation:
202.5 divided by 6 = 33.75 (1 fluid ounce)
33.75 x 2 = 67.5. (68)
the area of a circle is 196 pi square inches. what is the exact length of the circle's radius?
Area of a circle:
[tex]A=\pi r^2[/tex] "r" is the radius
Since you know [tex]A=196\pi[/tex] in², you can plug (196[tex]\pi[/tex]) for "A" in the equation
[tex]A=\pi r^2[/tex]
[tex]196\pi=\pi r^2[/tex] Divide pi on both sides
196 = r² Square root both sides
14 = r
The exact length of the circle's radius is 14 inches.
The formula to calculate the area (A) of a circle is given by:
[tex]A = π * r^2[/tex]
where "r" is the radius of the circle.
In this case, we are given that the area of the circle is 196π square inches. So we can set up the equation:
196π = π * [tex]r^2[/tex]
To find the radius (r), divide both sides of the equation by π:
[tex]r^2[/tex] = 196
Now, solve for the radius:
r = √196
r = 14
Therefore, the exact length of the circle's radius is 14 inches.
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The variables y and x have a proportional relationship and y=7 when x=2 what is the value of x when y=21
Answer:
x=6
Step-by-step explanation:
Since y=7 when x=2, we can from here simplify and see that y=3.5 when x=1. If y=21, then we multiply 7 by 3 which is 21, and since we must keep a proportion, we must multiply 2 by 3 and get 6 as the answer.
Write the following expression as a function of a positive acute angle. cos 215
Answer:
- cos 35°
Step-by-step explanation:
215° is in the third quadrant where cos is negative
cos 215° = - cos( 215 - 180)° = - cos 35°
Answer:
- cos 35°
Step-by-step explanation:
215° is in the third quadrant in which cos is negative
cos 215°
cos(α - 180°) = - cos theta
-cos( 215 - 180)°
- cos 35°
hope it helps:)
mark brainliest!
A car dealership buys a car from a factory for $20,000. If the car dealership marks up the price of the car by 50% before selling it, what is the final sale price?
Answer:
The final sale price is $30,000.
Step-by-step explanation:
50% of $20,000 is $10,000.
$20,000+$10,000=$30,000.
Final answer:
To find the final sale price with a 50% markup on the original $20,000 price, add $10,000 (which is 50% of $20,000) to get a final sale price of $30,000.
Explanation:
To calculate the final sale price of a car after a 50% markup, we take the original purchase price of the car and add half of that price to it. If the car dealership buys a car for $20,000, a 50% markup would be half of $20,000, which is $10,000. So, the final sale price would be:
$20,000 (original price) + $10,000 (50% of $20,000) = $30,000.
Hence, the car dealership would sell the car for $30,000 after a 50% markup.
find the measures of two complementary angles with measures (20w+15)° and (10w)°
let's recall, complementary angles add up to 90°, therefore
[tex]\bf (20w+15)+(10w)=90\implies 30w+15=90\implies 30w=75 \\\\\\ w=\cfrac{75}{30}\implies w=\cfrac{5}{2} \\\\[-0.35em] ~\dotfill\\\\ 20w+15\implies 20\left( \cfrac{5}{2} \right)+15\implies 50+15\implies \blacktriangleright 65 \blacktriangleleft \\\\\\ 10w\implies 10\left( \cfrac{5}{2} \right)\implies \blacktriangleright 25 \blacktriangleleft[/tex]
Round 41,003 to the nearest hundred
Answer:
41000
Step-by-step explanation:
ten thousand thousand hundred tens ones.
4 1 0 0 3
We are rounding to the nearest hundred which is 0. We look at the number to the right. If it is 5 or above " give it a shove" or round up. Since it is also a 0, we leave it alone.
41000
Answer:
41000
Step-by-step explanation:
trust me
part 2!!!!!!!!!!!!!!!
Answer:
Down below,
Step-by-step explanation:
First the 2nd question,
In 3 hours, Jamal hiked 6 miles, while Rubi hiked 7.5 miles. For a ratio, you could do 2.5:2 as Rubi hiked 2.5miles an hour while Jamal hiked 2 miles an hour.
For the 3rd question,
Rubi had a greater speed as he walked .5 miles an hour faster, as shown in the ratio above.
Hope i could help you, i would appreciate if you gave me brainliest, have a good day
there are 46 second graders who play softball. there are 35 second graders who play soccer.how many more second graders play softball than play soccer
Answer:11 more students
Step-by-step explanation:we do 46 minus 35 and we get 11
Answer: There are 11 more second graders who play softball
Step-by-step explanation:
1)make a equation
46-35
2)solve
11
3)answer
There are 11 more second graders
PROVE THE base angles of an isosceles triangle are congruent
[tex]\frac{y}{a} -b=\frac{y}{b} -a[/tex]
If a doesn't equals b
Find a, b, and y
[tex]Domain:\ a\neq0\ \wedge\ b\neq0\\\\\dfrac{y}{a}-b=\dfrac{y}{b}-a\qquad\text{multiply both sides by ab}\\\\by-ab^2=ay-a^2b\qquad\text{add}\ ab^2\ \text{to both sides}\\\\by=ay+ab^2-a^2b\qquad\text{subtract}\ ay\ \text{from both sides}\\\\by-ay=ab^2-a^2b\\\\(b-a)y=ab(b-a)\qquad\text{divide both sides by}\ (a-b)\neq0\\\\y=ab\\\\Answer:\ a\in\mathbb{R}-\{0\},\ b\in\mathbb{R}-\{0\},\ a\neq b,\ y=ab\\\\Example:\\a=2,\ b=3\to y=(2)(3)=6\\\\substitute\ to\ the\ equation:\\\\L_s=\dfrac{6}{2}-3=3-3=0\\R_s=\dfrac{6}{3}-2=2-2=0\\\\L_s=R_s[/tex]
calculate the slope of the line between the point (-3,2) and (5,0)
PLZ HELP I NEED TO FINISH IN A FEW MINUTES IM REALLY CONFUSED
Answer:
The slope of the line is -1/4
Step-by-step explanation:
To find the slope, we use the formula
m = (y2-y1)/(x2-x1)
We have the points (-3,2) and (5,0)
= (0-2)/(5--3)
= (-2)/(5+3)
=-2/8
= -1/4
The slope of the line is -1/4
using laws of exponents , i^3=(i^2)i
Answer:
its -i
Step-by-step explanation: just did the assignment
In the given case we can conclude that Using the laws of exponents, we can simplify i³ as 1
The laws of exponents, also known as the rules of exponents, are a set of fundamental mathematical principles that govern the manipulation and simplification of expressions involving exponents. These rules are essential for working with exponential functions and equations. Here are the basic laws of exponents.
Using the laws of exponents, we can simplify i³ as follows:
i³ = i * i * i
Since we know that i² = -1, we can substitute -1 for i² in the expression:
i³ = -1 * i * i
Next, we can use the associative property of multiplication to rearrange the expression:
i³ = -1 * (i * i)
Finally, we recognize that (i * i) is equal to i² = -1, so the expression simplifies to:
i³ = -1 * -1
Therefore, i³ = 1.
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Really easy question and so many points!!!
Answer:
b.) 60
Step-by-step explanation:
M = 29 N = 32
32+29 = 61
The closest option to 61 is 60
Answer:
b
Step-by-step explanation:
NEED CORRECT ANSWER NOWWW ASAP PLEASE SOMEONE HELPPP!!!!!
On a number line, what is the distance between -57 and 13?
Answer: 70 units
One way to find this answer is to get a very large number line (perhaps from -100 to 100; counting by 1s) and count out the number of spaces from -57 to 13. This method is impractical because it would take a long time.
A shorter method is to subtract the values and make the result positive. So we could say -57 - 13 = -70 which has an absolute value of 70. Or we can say 13 - (-57) = 13 + 57 = 70. Either way, the distance between the values on the number line is 70 units.
What does a credit counselor do? A. Co-signs a loan with you B. Helps you make a plan to resolve financial issues C. Convinces your creditors to reduce your debt D. Collects debts Please select the best answer from the choices provided
Answer:
B. Helps you make a plan to resolve financial issues.
Step-by-step explanation:
Because a credit counselor 'counsels' you on your credit.
Answer: B. securities I hope this helps
Step-by-step explanation:
999
Write the equation 'x-intercept = 4, y-intercept = -1' in slope-intercept form.
Answer:
y = 1/4x-1
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b
m is the slope and b is the y intercept
but we do not know the slope y know the x intercept
(4,0 )
and the y intercept
( 0,-1)
We can calculate the slope using these points
m = (y2-y1)/ (x2-x1)
= (-1-0)/(0-4)
= -1/-4
= 1/4
Now we can put the slope = 1/4 and the y intercept =-1 into the formula
y = 1/4x-1
y=1/4x-1 I think is the answer to that question
9x^2-6x+8=0 what is the fifth step in solving this equation
Answer:
write the equation as a binomial
Step-by-step explanation:
What is the volume of the cylinder to the nearest whole number?
A.) 1,005 m³
B.) 20,096 m³
C.) 16,077 m³
D.) 4,019 m³
if the cylinder has a diameter of 8, its radius is half that, or 4.
[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=4\\ h=20 \end{cases}\implies V=\pi (4)^2(20)\implies V=320\pi \\\\\\ V\approx 1005.3096\implies V=\stackrel{rounded}{1005}[/tex]
The formula of a cylinder:
[tex]V=\pi r^2H[/tex]
We have the diameter d = 8m and height H = 20m.
d = 2r therefore r = 8m : 2 = 4m. Substitute:
[tex]V=\pi(4^2)(20)=\pi(16)(20)=320\pi\ m^3\approx 320\cdot3.14\approx1005m^3[/tex]
Answer: A.) 1,005 m³What is the distance between -4 and 6 on a number line
Answer:
10 you just add them and or count down
The distance between the two variable in the number line is = 10
What is a number line?A number line is a horizontal line that includes both negative and positive numbers with equally spread increments. The middle of the line is usually zero which marks the starting point of other numbers.
The distance between two numbers in a number line is the sum of their absolute value;
[-4] + [6] = 4 +6 = 10
Therefore, the distance between the two variable in the number line is =10
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