Answer:
Original number 26.
Step-by-step explanation:
xy - two-digit number
1) x + y = 8
2) Original two-digit number can be written as
10*x + y
3) If the digits interchanged yx,
then the new number can be written as
10*y + x
4) Double the original number is
2*(10*x + y)
5) New number is 10 more than double the original number
(10*y + x) - (2*(10*x + y)) = 10
6) Now we have the system of 2 equations:
x + y = 8
(10*y + x) - (2*(10*x + y)) = 10 -----> 10y + x - (20x + 2y) = 10 ---> 8y - 19x = 10
x = 8 - y
8y - 19(8 - y) = 10
8y - 152 +19y = 10
27y = 162
y = 6
x = 8 - y = 8 - 6 = 2
x = 2
So, x =2, y = 6.
Original number 26.
Check:
Original number 26.
New number 62.
Double of the original number = 2*26= 52.
New number is 10 more than double the original number :
62 - 52 = 10 True
At 3:20, what is the degree measure of the acute angle formed by the hour hand and the minute hand on a 12-hour analog clock?
Answer:
20 deg
Step-by-step explanation:
A 12-hour analog clock face has 12 hour markers in 360 degrees, so the angle between one hour and the the next hour is 30 deg.
At 3:00 the hour hand makes a 90 deg angle with the 12 marker.
At 4:00 the hour hand makes a 120 degree angle with the 12 marker.
At 3:20, the hour hand has gone 20/60 of the way from the 3 marker to the 4 marker, so it has gone 1/3 of the way from 90 degrees to 120 degrees with the 12 marker. 1/3 * 30 + 90 = 100 deg. The hour hand is making a 100-deg angle with the 12 marker.
At 3:20, the minutes hand is at the 4 marker, so it makes a 120-degree angle with the 12 marker.
The angle made by the hands is 120 deg = 10 deg = 20 deg.
Answer:
its not 20 i did it cus im also doing aops not right
Step-by-step explanation:
Determine whether the given source has the potential to create a bias in a statistical study: An article in Journal of Nutrition noted that chocolate is rich in flavonoids. The article reports that "regular consumption of foods rich in flavonoids may reduce the risk of coronary heart disease." The study received funding from the candy company, and the Chocolate Manufacturers Association. Identify and explain at least one source of bias in the study describe. Then suggest how the bias might have been avoided?
Answer: The source has the potential to create bias because it was sponsored by companies that will benefit from it. This might have been avoided by stoping these companies from sponsoring the study.
Explanation:
A study is biased if its results or process is not objective, which means they have been influenced by a specific perspective or interest, and the results are inaccurate. One of the factors that causes bias is the participation of entities with economic interests in the study.
This occurs in the case described because a candy and a chocolate company sponsored the studies, and therefore results might be modified to benefit the companies. According to this, the study has the potential of being biased, and the main source is the fact it was sponsored by companies with interests.
Besides this, this can be avoided if the study does not accept sponsoring by companies with specific interests. In this way, the study will be objective, and the results will not be influenced, which means the information provided by the study would be accurate and credible.
Abby earns $7 per hour working as a cashier at a cafe. She earned $ blank in a week in which she worked 28 hours. She earned $ blank in a month which she worked 112 hours.
Answer:she earned 196$ in a week in which she worked 28 hours. she earned 784$ in a month which she worked 112 hours.
196$ and 784$ are your answers
Step-by-step explanation:
Positive numbers are located to the
left of zero on the number line.
O True
O False
If a number is located farther right on
the number line than another, then it
is larger
O True
O False
Answer:
1. False
2. True
Step-by-step explanation:
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
x^2 - 3x + 9/4 = 5 + 9/4.
Step-by-step explanation:
To find what to add to both sides to make the equation a square, you need to do (b / 2)^2.
In this case, b = -3.
(-3 / 2)^2
= 9 / 4.
x^2 - 3x - 5 = 0
x^2 - 3x = 5
x^2 - 3x + 9/4 = 5 + 9/4.
Hope this helps!
Can somebody explain this to me and the answer I don’t get this at all
Answer:
a)~5572.45 (cm^3)
b)~1519.76 (cm^2)
Step-by-step explanation:
A volleyball has a diameter d = 22 cm
=> Its radius r is r = d/2 = 22/2 = 11 cm
a) Its volume is calculated by:
V = (4/3) x pi x r^3
with p = ~3.14 and r = 11 cm
=> V = (4/3) x 3.14 x 11^3 = ~5572.45 (cm^3)
b) Its surface area is calculated by:
A = 4 x pi x r^2
with p = ~3.14 and r = 11 cm
=> A = 4 x 3.14 x 11^2 = ~1519.76 (cm^2)
NEED HELP IMMEDIATELY. I WILL BRAINLIEST
Answer:
Equation 2: [tex]y=-x^2-2[/tex]
The strategy i used to make this equation is to make graph the parent equation and see what changes are to be made in order to get the needed answer.
Step-by-step explanation:
Well a normal parent parabola function is [tex]y=x^2[/tex].
And the parabloa it makes opens up so to make it open down we make it negative to [tex]y=-x^2[/tex]. And to make a negative y intercept we make the y intercept -2.
So the equation is [tex]y=-x^2-2[/tex].
A number x is at least -3 and at most 9
-3 <= x <= 9 would be the inequality
Answer:
[tex]\boxed{-3 \leq x \leq 9}[/tex]
Step-by-step explanation:
x is at least -3
So,
=> x ≥ -3
For, x at most 9, It is
=> x ≤ 9
Combining the inequality
-3 ≤ x ≤ 9
Graphically, a point is a solution to a system of two inequalities if and only if the point
o lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality
O lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequality
O lies in the shaded regions of both the top and bottom inequalities
x does not lie in the shaded region of the top or bottom inequalities.
Intro
Done
Answer:
Lies in the shaded regions of both the top and bottom inequalities.
Step-by-step explanation:
The point of solution for BOTH systems of inequalities must work for both equations. Therefore, the point has to lie in both top and bottom shaded regions or it won't work for both, but just one.
Answer:
C: Lies in the shaded regions of both the top and bottom inequalities.
Step-by-step explanation:
Hope this helps!
A recipe calls for a total of 3 and two-thirdscups flour and sugar. If the recipe calls for One-fourthcup of sugar, how much flour is needed?
Answer:
3 and 5/12
Step-by-step explanation:
To find how much flour you need, subtract how much sugar you need from how much total you need of sugar and flower. To do this, turn both numbers into improper fractions. This means 3 and 2/3 turns into 11/3 as there are 3 thirds per whole, and there are three wholes plus the 2 thirds, equaling 11/3. The 1/4 is already an improper fraction, so you can move on.
Now you just covert them to have the same denominator by multiply 11/3 by 4 on top and bottom and 1/4 by 3 on both the top and bottom to get 44/12 and 3/12. Now you just subtract 44/12-3/12 and get 41/12. Made into a mixed number that is 3 and 5/12.
The recipe will require three and five-twelfths (3 5/12) fraction cups of flour.
What are fractions?A fraction is a portion of a whole or, more broadly, any number of equal pieces.
It is written in the form p/q, read as "p by q", where p is called the numerator and q is called the denominator, and the fraction p/q represents p number of equal parts from q number of equal parts.
Fractions are of two types:
Proper fraction: Where numerator < denominator. Improper fraction: Where numerator > denominator. These fractions are written in mixed form also.How to solve the question?In the question, we are informed that a recipe calls for a total of 3 and two-thirds cups of flour and sugar.
We are asked if the recipe calls for One-fourth cup of sugar, then how much flour is needed.
We suppose the quantity of flour required to be x cups.
We know the quantity of sugar required = One-fourth cup.
This can be written as a fraction = 1/4 cup.
We know the total sugar and flour is three and two-thirds cups.
This can be written as a fraction = 3 2/3 cup = 11/3 cup.
Now, we know quantity of sugar + quantity of flour = total quantity
or, 1/4 + x = 11/3
or, x = 11/3 - 1/4 = (44 - 3)/12 = 41/12 = 3 5/12.
Therefore, the recipe will require three and five-twelfths (3 5/12) fraction cups of flour.
Learn more about fractions at
https://brainly.com/question/11562149
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4. A cricketer scores the following runs in eight innings:
58, 76, 40, 35, 46, 45, 0, 100.
Find the mean score.
Answer:
i believe the answer would be 50
Step-by-step explanation:
to find the mean you add all of the numbers together and divide it by the amount of numbers given.
For example, in this problem, you would add:
58+ 76+ 40+ 35+ 46+ 45+ 0+ 100
which would equal 400
then you you divide 400 by 8 because there are 8 numbers and it gives you the answer of 50
(hope this helped <33)
Answer:
50Step-by-step explanation:
[tex]\dfrac{58+76+40+35+46+45+0+100}{8}=\dfrac{400}8=50[/tex]
mr Kobe has 30 students in his class ha has twice as many girls and boys what are the ratios to total students
Answer:
Step-by-step explanation:
2:3 is the correct answer
I hope this helps you
The alphabet of a fictionary tribe consists of three letters: A, O and M. Any combination of no more than four of these letters is considered a word. How many words are does this tribe's language have?
Answer:
120 words
Step-by-step explanation:
There are only three possible letters, assuming words can be 1, 2, 3 or 4 letters long:
The number of 1 letter words is 3
The number of 2 letter words is 3² = 9
The number of 3 letter words is 3³ = 27
The number of 4 letter words is 3⁴ = 81
The total number of possible words is:
[tex]3+9+27+81 = 120\ words[/tex]
This tribe's language has 120 words.
Write the equation of the line in Point-Slope Form given the information below. Slope=-1/5 y-intercept=-3
Answer:
your correct answer is y=-1/5-3
Step-by-step explanation:
The linear equation of the line is y = -1/5x - 3 and y + 3 = -1/5(x - 0)
How to determine the line equation?The slope is given as:
m = -1/5
The y-intercept is given as:
c = -3
A linear equation in slope intercept form is represented as:
y = mx + c
So, we have:
y = -1/5x - 3
The equation in point slope form is calculated as follows:
y = -1/5x - 3
Add 3 to both sides
y + 3 = -1/5x
Express -1/5x as -1/5(x)
y + 3 = -1/5(x)
Subtract 0 from x
y + 3 = -1/5(x - 0)
Hence, the linear equation of the line is y = -1/5x - 3 and y + 3 = -1/5(x - 0)
Read more about linear equation at:
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find the value of x in the isoscleles triangle sqrt45 and altitude 3
Answer:
[tex]c.\hspace{3}x=12[/tex]
Step-by-step explanation:
Isosceles triangles are a type of triangles in which two of their sides have an identical length. It should be noted that the angles opposite the sides that are the same length are also the same. This means that these triangles not only have two equal sides, but also two equal angles.
You can solve this problem using different methods, I will use pythagorean theorem. First take a look at the picture I attached. As you can see:
[tex]x=2a[/tex]
And we can find a easily using pythagorean theorem:
[tex](\sqrt{45} )^{2} =3^{2} +a^{2}[/tex]
Solving for a:
[tex]a^{2} =(\sqrt{45} )^{2} -3^{2} \\\\a^{2} =45-9\\\\[/tex]
[tex]a^{2} =36\\\\a=\sqrt{36} \\\\a=6[/tex]
Therefore:
[tex]x=2a\\\\x=2(6)\\\\x=12[/tex]
This is an example of a ____transformation
Answer: Translation
Step-by-step explanation:
The shape its self has only shifted to the right. It hasn't been rotated or reflected.
Answer:
Translation
Step-by-step explanation:
defintion of translation: the process of moving something from one place to another.
The shpae is being moved to the right as shown by the arrow.
expand the following 4 (x - 1)
Answer:
4x - 4
Step-by-step explanation:
4 × x = 4x
4 × -1 = -4
4x - 4
Answer:
4x-4
Step-by-step explanation:
4(x-1) 4*x-1*44x-4please help i will give you brainliest if you give me the right answer and don't copy from online or another answer source from on here!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A horror movie ticket costs $6.50 per child. Which equation can be used to calculate the horror ticket price, M, for n children?
Answer:
The answer would be M = 6.5n because 6.50 per child would be 6.50 * n which can be simplified to 6.50n or 6.5n.
Answer:
correct answer is above :>
Step-by-step explanation:
Use stigma notation to represent the dune of the first seven terms of the following sequence: -4, -6, -8, ...
Answer:
7Σn=1 (-2n - 2)
Step-by-step explanation:
Sigma notation:
The top number is stop at n = 7 (inclusive)
The bottom number is start at n = 1
The equation is the expression for each term in the sum
Find explicit formula
d = -2, a₁ = -4
-4 - 2(n - 1)
-4 - 2n + 2
-2n - 2
7 goes on top of Σ
n = 1 goes on the bottom of Σ
-2n - 2 goes to the right of Σ
How can we use a graph to tell that two populations are equal?
Answer: You can see if the graphs of the two populations meet at a given point.
Step-by-step explanation:
If we have a graph of population vs time
such that y = population and x = time, two different populations will be exactly the same for a given time if we have an intersection of the two graphs. The value (x0, y0) where the graphs cross is the time = x0 and the population y0, this means that both populations have y0 individuals at the same time.
Please help! Having a hard time with these, appreciated if you do :)
Answer:
Hey there!
Here's the first question.
Let l be the length, and w be the width.
Thus, we have 5w=l+4, or 5w-4=l.
The perimeter is 76, so 2l+2w=76.
We see that l=5w-4, so substitute 5w-4 for l.
2(5w-4)+2w=76
10w-8+2w=76
12w-8=76
12w=84
w=7
Thus, the length is 5(7)-4, or 31.
Option C is correct.
Here is the second question)
Let x be the larger angle and y be the smaller angle.
Supplementary angles add to 180 degrees.
x+y=180
x=3y
Similar to the first problem change all the x's into 3y's
3y+y=180
4y=180
y=45
x=135
So the two angles are 45 and 135 and they add to 180 degrees (Choice D)
Hope this helps :)
Solve for x 5x−1=6x−9 It would be better for more of a simpler and easier method if possible.
Answer:
X= 8Step-by-step explanation:
[tex]5x - 1 = 6x - 9[/tex]
Move variable to L.H.S and change its sign:
[tex]5x - 6x - 1 = - 9[/tex]
Move constant to RHS and change its sign:
[tex]5x - 6x = - 9 + 1[/tex]
Combine like terms and simplify:
[tex] - x = - 8 \\ x = 8[/tex]
Hope this helps....
Good luck on your assignment...
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The simplest form of the expression -2x2(x – 5) + x(2x2 – 10x) + x is .
Answer:
x
Step-by-step explanation:
-2x²(x – 5) + x(2x² – 10x) + x
The simplest for of the above equation can be obtained as follow:
-2x²(x – 5) + x(2x² – 10x) + x
Rearrange
x(2x² – 10x) – 2x²(x – 5) + x
Factorise
x.2x(x – 5) – 2x²(x – 5) + x
2x²(x – 5) – 2x²(x – 5) + x
Carry out the minus (–) operation
=> x
Therefore, the simplest form of expressing -2x2(x – 5) + x(2x2 – 10x) + x is x.
(x^4)8 please help me with this
Answer:
x^32
Step-by-step explanation:
Multiply the exponent 4 by the exponent 8:
(x^4)^8 = x^32
The graphs below have the same shape.What is the equation of the red graph ?
Answer:
B. f(x) = 1 - x²
Step-by-step explanation:
Since we are dealing with only vertical movement, all we change is the constant. Since the red graph is up one from the reflected parent graph, we know our graph is f(x) = -x² + 1 or f(x) = 1 - x².
Answer:
B. F(x) = 1 - x^2
Step-by-step explanation:
The red graph is the blue graph translated 3 units down. It has a vertical translation of -3 units.
F(x) = G(x) - 3
F(x) = 4 - x^2 - 3
F(x) = 1 - x^2
Assume that the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with three children will have the given composition. (Enter your answer to four decimal places.) At least one girl
Answer:
0.875 or 87.5%
Step-by-step explanation:
For each child, there is an equal 1 in 2 probability of having a girl or a boy.
The probability of having at least one girl out of three children includes the probability of having 1, 2 or 3 girls. It can also be written as 100% minus the probability of having all boys, therefore:
[tex]P(G\geq 1)=1-P(B=3)\\P(G\geq 1)=1-(\frac{1}{2}*\frac{1}{2}*\frac{1}{2})\\ P(G\geq 1)=0.875[/tex]
The probability of having at least one girl is 0.875 or 87.5%.
Which triangle correctly shows that the side opposite the larger angle is the larger side?
Answer:
The answer is C
I turned it in and it was correct
Step-by-step explanation:
Please mark brainliest
Answer:
c
Step-by-step explanation:
NEED ANSWER ASAP! plz someone answer ASAP
Answer:
The value of c is 2
Step-by-step explanation:
p(x) = cx³ - 15x - 68
Since it's divisible by ( x - 4) that means when the value of ( x - 4) is substituted into the polynomial it leaves a remainder of zero that's no remainder.
x - 4 = 0
x = 4
Substitute it into the above expression
That's
c(4)³ - 15(4) - 68 = 0
64c - 60 - 68 = 0
64c = 60 + 68
64c = 128
Divide both sides by 64
c = 2
Hope this helps you
Answer:
h
Step-by-step explanation:
b
PLZ HELP! QUICK! WILL MARK BRAINLIEST!!! 20 POINTS!!! A portion of the Quadratic Formula proof is shown. Fill in the missing statement.
Answer:
D.
Step-by-step explanation:
After the third step, take the square root of both sides.
Third Step:
[tex](x+\frac{b}{2a})^2=\frac{b^2-4ac}{4a^2}[/tex]
Thus, the fourth step is:
[tex]\sqrt{(x+\frac{b}{2a})^2}=\sqrt{ \frac{b^2-4ac}{4a^2}} }[/tex]
The left side cancels:
[tex](x+\frac{b}{2a})=\pm\sqrt{ \frac{b^2-4ac}{4a^2}} }[/tex]
D.
Answer:
x + [tex]\frac{b}{2a}[/tex] = ±[tex]\sqrt \frac{b^{2} - 4ac }{4a^{2} }[/tex] aka choice D
Step-by-step explanation:
Which shows a correct order to solve this story problem? Phoebe bought 2 muffins for $1.99 each and 2 cups of milk for $1.50 each at her favorite diner. She left a $1.40 tip for the server. How much did Phoebe have left from the $20 she took to the diner? A. Step 1: Add the price of a muffin and the tip. Step 2: Add the price of a cup of milk to the total from Step 1. Step 3: Multiply that total by 2. Step 4: Subtract that total amount from $20. B. Step 1: Calculate the price of 2 muffins. Step 2: Calculate the price of 2 cups of milk. Step 3: Subtract the total amounts from Steps 1 and 2 from $20. Step 4: Add the tip to that amount. C. Step 1: Add the price of a muffin to the price of a cup of milk. Step 2: Multiply that total by 2. Step 3: Add the tip to the final total for all the items. Step 4: Subtract the total amount with tip from $20.
Answer:
First Question
1.99+1.50=3,49
3.49 x 2=6.98
6.98+1.40=8.38
20-8.38=$11.62
Second Question
22.50 x 2=45
45+35.50+7.18=87.68
87.68/2=43.84
Step-by-step explanation:
D: happy to help