Answers
Related Questions
Sonny is twice as old as Wale. Four years ago, he
was four times as old as Wale. When will the
sum of their ages be 66?
Answers
Let S be Sonny age now and W be Wale age now
[tex]S=2W[/tex]
[tex]S-4=4(W-4)[/tex]
[tex]S-4=4W-16[/tex]
[tex]S=4W-16+4=4W-12[/tex] but [tex]S=2W[/tex]
[tex]2W=4W-12[/tex]
[tex]2W-4W=-12[/tex]
[tex]-2W=-12[/tex]
[tex]W=12[/tex] ÷ [tex]2=6[/tex] years old age of Wale now[tex]S=2W=2(6)=12[/tex] years old age of Sonny nowWhen will the sum of their ages be 66? Let x be the number of years from now that the sum of their ages be 66, so Sonny will be [tex]12+x[/tex] and Wale will be [tex]6+x[/tex]:
[tex](12+x)+(6+x)=66[/tex][tex]18+2x=66[/tex][tex]2x=66-18=48[/tex][tex]x=48[/tex] ÷ [tex]2=24[/tex] years from nowTherefore, 24 years from now, Sonny will be [tex]12+24=36[/tex] years old and Wale will be [tex]6+24=30[/tex] years old and the sum of their ages will be [tex]36+30=66[/tex] years.
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Given the conditional relative frequency table by column, what does the 0.14 represent? given that a student is a 10th grader, there is a 14% chance he or she has a job. given that a student has a job, there is a 14% chance he or she is a 10th grader. 14% of the students surveyed are 10th graders who have a job. 14% of the students are 10th graders.
Answers
The first option is correct because 0.14 represents that if a student is a 10th grader, there is a 14% chance he or she has a job.
What is a conditional relative frequency table?It is a special type of frequency table that shows relationships between two categories.
From the given table it is clear that 0.14 is the probability of getting a job if a student is a 10th grader,
Option B is incorrect, stating there is a 14% chance a student is a 10th grader if he/she has had a job because we do not know the number of students.
Option C is also incorrect stating that 14% of the students surveyed are 10th graders who have a job because we do not know the total number of students.
Option D is also incorrect because we do not know the number of students.
Therefore, First option is correct because 0.14 represents that if a student is a 10th grader, there is a 14% chance he or she has a job.
To get more about conditional relative frequency, refer to the link,
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Answer:
A. Given that a student is a 10th grader, there is a 14% chance he or she has a job.
Step-by-step explanation:
Use the information to find and compare Δy and dy. (Round your answers to three decimal places. )
y = 0. 8x5 x = 1 Δx = dx = 0. 1
Δy = dy =
Answers
The computation shows that the values of Δy and dy will be 0.572 and 0.4 respectively.
How to compute the values?The value of Δy will be computed thus:
Δy = y(x + Δx) - y(x)
= y(1.1) - y(1)
= 0.5(1.1)⁸ - 0.5(1)⁸
= 0.572
The value of dy will be:
= y'(x)dx
= (0.5)⁸ × x⁷(0.1)
= 0.4 (1)⁷
= 0.4
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60,582,876+85,632,895
Answers
Answer:
answer 100%100 is 146215771
You had 90 books on your shelf. You decided to donate 20%. How many books were donated? How many do you have left?
1. 30 donated and 88 left
2. 24 donated and 72 left
3. 18 donated and 64 left
4. 18 donated and 72 left
Answers
20% of 90= 18
80% of 90=72
———————-
100% of 90=90
3+ х = х2 + 3x
rewrite by completing the square
Answers
Answer:
Step-by-step explanation:
Completing square:
3 + x = x² + 3x
x² + 3x = x + 3
Step 1: Subtract 'x' from both sides
x² + 3x - x = 3
x² + 2x = 3
Step 2: Divide the coefficeint of x by 2 and square the result
2 ÷ 2 = 1
1² = 1
Step 3: Now add 1 to both the sides
x² + 2x + 1 = 3 + 1
x² + 2x + 1 = 4
The LHS of the equation is in the form a² + 2ab + b² = (a +b)²
(x + 1)² = 2²
Take square root,
x + 1 = ± 2
x + 1 = 2 ;x + 1 = -2
x = 2 - 1 ; x = - 2-1
x = 1 ; x = -3
Solution: x = 1,-3
The 2 in the hundreds place is _______ times greater than the value of the 2 in the tenths place.
Answers
Answer:
10 times
Step-by-step explanation:
20= tenths place
200=hundredths place
20 x 10= 200
For a research study, 64 marmots were tagged and set free. Later, the researchers
returned to the site and found 36 tagged marmots out of the 900 marmots they counted. To
the nearest whole number, what is the best estimate for the marmot population?
Answers
Answer:
1067
Step-by-step explanation:
[tex] \frac{36}{64} = \frac{600}{ m} [/tex]
m=total amount of marmots
cross multiplication-
36×M = 64×600
[tex] \frac{64 \times 600}{36} [/tex]
=1066.666667
=1067 marmots
Help please ASAP this is confusing first correct answer gets brainleist
Answers
8cm
First we need to look at the side opposite to the missing side
which it is 12cm
now we can see that on the missing side 4cm is right below it
so we do
12cm-4cm
this gives you
8cm
a) 12-4=8
b) 5+4+4+12+9=34
The perimeter is 34cm and the missing length is 8cm.
Or it could be 38 since this unknown length was determined.
Find each lettered angle measure A through H
(20 points)
Answers
The angles of the triangle can be found using angle on a straight line theorem, isosceles triangle theorem, sum of angles in a triangle, sum of angles in a quadrilateral, vertical angle theorem etc.
Angles in a triangleThe sum of angles in a triangle is equals to 180 degrees. Therefore, let's find the angles in the triangle
2a = 180 - 58(base angles of isosceles triangle)
a = 122 / 2
a = 61°
b = 180 - (180 - 90 - 40) = 130° (angle on a striaght line)
c = 130° (Known angles)
d = 180 - 33 - 88 = 59°(sum of angles in a triangle)
e = 180 - 69 = 111° (external triangle theroem)
f = 86° (vertically opposite angles)
g = 83° (vertically opposite angles)
h = 180 - 36 = 144° (sum of angles on a straight line)
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Are
Right triangles are a subcategory of triangle
Yes or no
Answers
Draw the image of \triangle ABC△ABCtriangle, A, B, C under a dilation whose center is PPP and scale factor is \dfrac{1}{3} 3 1 start fraction, 1, divided by, 3, end fraction.
Answers
Dilating the triangle ABC would create another triangle whose size is different from the triangle ABC
How to dilate the triangle?From the complete question, we have the following coordinates:
Point A = (-4,5)Point B = (7,-7)Point C = (-2,2)Point P = (1,-4)Scale factor, k = 1/3The dilation rule across the center P is:
(x, y) --> (1/3x – 1, 1/3y + 4)
So, the coordinates of the image of the triangle are:
A' = (-1/3 * 4 – 1, 1/3 * 5 + 4)
A' = (-7/3, 17/3)
B' = (1/3 * 7 – 1, -1/3 * 7 + 4)
B' = (4/3, 5/3)
C' = (-1/3 * 2 – 1, 1/3 * 2 + 4)
C' = (-5/3, 14/3)
From the above computation, the coordinates of the new triangle is:
A' = (-7/3, 17/3)
B' = (4/3, 5/3)
C' = (-5/3, 14/3)
See attachment for the image of triangle ABC
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Makes the equation 6x – 14 + 3(2x – 1) = 5 – 2(x – 10) true? *
Answers
Bodmas 6x+14= 9x -14×1x=14-10=4 x=10
Laura wants 3 scoops of ice cream. She can choose from vanilla, chocolate, mint, raspberry, blueberry, and coffee flavors. How many combinations of 3 scoops of ice cream can Laura choosefrom?
Answers
Explanation:
Key word included in the specified question is ‘combinations’. From this, we can eliminate the usage of permutation and probability formula(s).
Let’s start:
Combination formula = nCr = n! / r! • (n-r)!
n = total # of choices
r = selected # from total choices
vanilla + chocolate + mint + raspberry + blueberry + coffee flavor
= 6 total flavors (choices)
^^ n = 6
laura wants 3 from the total # of ice cream flavors
r = 3
nCr can be substituted now that we have found ‘r’ and ‘n’
n = 6
r = 3
nCr = 6C3
= 6! / 3! • (6-3)!
= 6! / 3! • 3!
= 6•5•4•3! / 3•2•1 • 3!
(eliminate 3! from top & bottom denominator)
= 6•5•4 / 3•2•1
= 120 / 6
= 20
What are the coordinates of the image of P(3, −4) after a reflection in the x-axis? (3, 4) (−3, −4) (−3, 4) (3, −4)
Answers
Answer:
(3,4)
Step-by-step explanation:
If is reflected around the x-axis, then the x-coordinate stays the same. Since -4 is still 4 away from the x-axis, we can count 4 untis up to get (3,4).
helppppp please i need help
Answers
Step-by-step explanation:
to gat everything you have to find the Area.
to get the area you have to multiple the number 2 tims
Sara has a box of 12 greeting cards. The cards are equally divided into 3 different designs of butterflies, shells, and flowers. Sara likes all the designs. So, she reaches into the box and randomly selects a card. Which Three statements are correct?
Answers
The probability of picking a butterfly design when Sara has a box of 12 greeting cards is 1/3.
How to compute the probability?Your information is incomplete as the statements aren't given. Therefore, an overview will be given.
From the information, Sara has a box of 12 greeting cards. The probability of picking a butterfly design will be:
= 4/12 = 1/3
The probability of picking a butterfly or flower design will be:
= 4/12 + 4/12
= 8/12
= 2/3
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what is 10x10,20x90,30x30,and 40x40
Answers
Answer:
100
1800
900
1600
Step-by-step explanation:
Easy way to solve :
remove the 0's eg
20*90 -> 2*9 = 18
then add the 0's back on
1800
Answer:
See below ↓↓↓↓
Step-by-step explanation:
10 x 10 = 10020 x 90 = 180030 x 30 = 90040 x 40 = 1600PLEASE HELP!!!!
NO LINKS!!!
In the circle below, find the measure of arc ED. Only input the number for
the answer. *
A
B
52°
C
E
D
Answers
Answer:
arc ed is 38 degrees
Step-by-step explanation:
dc is 90
bc is 52
ad is 180
90 + 52 = 142
180 - 142 = 38
ab (38) is the same as ed
ab = ed
ed = 38
Answer:
142
Step-by-step explanation:
the whole circle is 360 degrees.
90+52=142
180-142=38
AB=38 is the same as DE.
90+52+38+38=218
360-218=142.
What is the square root of 45?
Answers
Step-by-step explanation:
=3√5
thank me later....
What is the absolute value of -7
Will mark brainlyest!!
Answers
Answer: 7
Step-by-step explanation:
The absolute value of -7 is 7 because to find the absolute value you take away the sign.
My geometry teacher doesn't really teach so I need help!
A.) g(x)=x^2 -3; find g(3)
How do I solve this? I think I'm mostly confused on what I'm supposed to do with the (x).
Answers
Answer:
g(3) = 6
Step-by-step explanation:
The right side of the equation is the part with all the information for the doing of the math.
x^2 - 3 means square the number and then subtract 3.
On the left side of the equation is the g(x). g(x) or f(x) or k(x) is literally just y. Someone could ask what is f(x)? It is y.
What is g(x)? It is y.
What is g? It is the name of the function. So instead of saying ..."the thing where you square a number and then subtract 3..." you can just say "g". Now the (x) beside g DOESNOT mean times, bc sometimes parenthesis means times. THIS IS NOT TIMES!
The (x) is like a billboard. Tells you who will be starring as x in the work on the right side of the equation.
If you see g(x)=x^2-3
then whatever is in the ( ) on the left, put that in the place of x on the right.
g() = ^2 - 3
g(12) = 12^2 - 3
g(-7) = (-7)^2 - 3
or like your question
g(3) = 3^2 - 3
do the calculation
g(3) = 9 - 3
g(3) = 6
done! Hope this helps!
The clown at the birthday party made balloon animals for 8 children. Each animal used 4 balloons. The clown still has 24 balloons left. How many balloons did the clown start with?
Answers
Answer: 8
Step-by-step explanation:
4x8 gives you 32
Then you subtract:
32-24 =8
Which of the following is a composite number?
13
15
17
23
Answers
Answer:
15
Step-by-step explanation:
15= 3*5, so not prime
5. Find the equation of the line that goes through the point (2.-3) and has a slope of -1.
y = -x-1
y = -x-3
y=2x-3
y=-x+2
6. Find the equation of the line that goes through the point (5.1) and has a slope of 0.
y = 5x + 1
y=5
y=1
x=5
Answers
Hope it helps.
Do comment if you have any query.
Answer:
A and C.
Step-by-step explanation:
The sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab 2. if one addend is –5a2b2 12a2b – 5, what is the other addend? 15a2b2 – 20a2b 6ab2 – 4ab 7 5a2b2 – 20a2b2 7 5a2b2 4a2b2 6ab – 4ab – 3 –15a2b2 20a2b2 – 6ab 4ab – 7
Answers
The other polynomial addend, when the sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab is 15a²b²- 20a²b + 6ab² - 4ab + 7.
What is polynomial?Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).
The sum of two polynomials is,
[tex]10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2[/tex]
The one polynomial addend is,
[tex]-5a^2b^2 +12a^2b - 5[/tex]
Let suppose the other polynomial addend is f(a,b). Thus,
[tex](-5a^2b^2 +12a^2b - 5)+f(a,b)=(10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2)[/tex]
Isolate the second polynomial as,
[tex]f(a,b)=(10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2)-(-5a^2b^2 +12a^2b - 5)\\f(a,b)=10a^2b^2 - 8a^2b+ 6ab^2 - 4ab+2+5a^2b^2 -12a^2b + 5[/tex]
Arrange the like terms as,
[tex]f(a,b)=10a^2b^2+5a^2b^2 - 8a^2b -12a^2b+ 6ab^2 - 4ab + 2+5\\f(a,b)=15a^2b^2- 20a^2b + 6ab^2 - 4ab + 7[/tex]
Hence, the other polynomial addend, when the sum of two polynomials is 10a2b2 – 8a2b 6ab2 – 4ab is 15a²b²- 20a²b + 6ab² - 4ab + 7.
Learn more about polynomial here;
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what is equivalent to x - 7 = 10
Answers
Answer:
17-7=10
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
17-7=10
In one particular suburb, there are 18 families that own a pug. If there are a total of 24 families that own a dog in general, then what percentage of dog owners have a pug? Round your answer to the nearest whole number if necessary.
Answers
Answer:
75% of people own a dog.
Step-by-step explanation:
We apply the percentage formula in this problem
Total People * X/100 = Groups of people
Fill in the values
24 * X/100 = 18
We now Simplify the equation.
After simplifying you should get X=75, meaning 75% of people own a dog.
name the lengths of the sides of three rectangles with perimeters of 12 units
Answers
Answer:
Rectangle 1 4, 4, 2 and 2
Rectangle 2 5, 5, 1 and 1
Rectangle 3 3.5, 3.5, 2.5 and 2.5
Step-by-step explanation:
(2x+4)(x-1) express as a trinomial
Answers
Answer:
[tex]\\\\\hookrightarrow 2x^{2} +2x-4[/tex]
Step-by-step explanation:
[tex]\hookrightarrow (2x+4)(x-1) \\\\\hookrightarrow 2x(x-1)+4(x-1)\\\\\hookrightarrow 2x^{2} -2x+4x-4\\\\\hookrightarrow 2x^{2} +2x-4[/tex]
Answer:
[tex]\huge\boxed{\bf{(2x + 4)(x - 1) = 2x^2 + 8x - 4}} [/tex]
Step-by-step explanation:
[tex]\sf \to (2x + 4)(x - 1) [/tex]
[tex]\sf \to x(2x + 4) + 4(x - 1) [/tex]
[tex]\sf \to 2x^2 + 4x + 4x - 4 [/tex]
[tex]\sf \to 2x^2 + 8x - 4 [/tex]
[tex]\: [/tex]
[tex]\huge\colorbox{red}{BlackPain} [/tex]