Answer: B) 24
Step-by-step explanation:
All of these are multiples of 2 since they are all even numbers, so we will look to see which is a multiple of four.
Multiples of four are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, etc.
I bolded and underlined 24 because it is in the list of options. B) 24 is a common multiple of 2 and 4.
24 / 2 = 12
24 / 4 = 6
Find the value of x. AB=20 BC=6 CD=8
Step-by-step explanation:
there is the rule
outside length × (outside length + inside length) is the same for all lines originating from the same point.
so, we have
CD(CD + x) = BC(BC + AB) = 6(6+20) = 6×26 = 156
8(8 + x) = 156
8 + x = 19.5
x = 11.5
Some students are sharing pens among themselves. If each gets 5, no pens will be left. If each gets 3, 12 pens will be left. How many students are there?
Answer:
6 students
Step-by-step explanation:
Let x = number of students
Let y = total number of pens
Given:
If each student gets 5 pens, no pens will be left⇒ 5x = y
Given:
If each students gets 3, 12 pens will be left.⇒ 3x = y - 12
Substitute 5x = y into 3x = y - 12 and solve for x:
⇒ 3x = 5x - 12
⇒ 12 = 5x - 3x
⇒ 2x = 12
⇒ x = 6
Therefore, there are 6 students.
Solve the equation.
−10x + 1 + 7x = 37
x = −15
x = −12
x = 12
x = 15
so urgent pls
Answer:
B
because if you were looking for time that is less than and equal to you would have to choose (c) as you answerAntonio weighs four pounds more than twice his brother weight. If Antonio weighs 97 pounds, how much does his brother weigh? Write and solve equation.
Answer:
The bother's weight is 46.5 lb.
Step-by-step explanation:
Let the brother's weight be b.
Antonio's weight is 2b + 4.
Antonio's weight is 97 lb.
2b + 4 = 97
2b = 93
b = 46.5 lb
Answer: The bother's weight is 46.5 lb.
solve this sum urgent no spam
Answer:
Step-by-step explanation:
YES IS THE ANSWER BECAUSE X=9
AND 11+3=87
The graph of f(x) = 8 - x and line l which is tangent to f at x =1 is
shown in the figure to the right. The equation for line l is y =-3x +10.
Region R is the shaded region between line l, the graph off and the
y-axis while S is the shaded region between line l, the graph off and
the x-axis.
(a) Find the area of the shaded region R.
By taking the integral of the difference between the two given lines, we will see that R = 0.75.
How to find the area of the region R?Notice that the area will be given by the integral of the difference between the line L and our function on the interval [0, 1]
Then we just need to compute:
[tex]R = \int\limits^1_0 {-3x + 10 - (8 - x^3)} \, dx[/tex]
Solving that we will get:
[tex]R = \int\limits^1_0 {-3x + 10 - (8 - x^3)} \, dx = \int\limits^1_0 ({-3x + 10 - 8 + x^3} )dx\\\\\R = \int\limits^1_0 ({-3x + 2 + x^3} )dx\\\\\\[/tex]
[tex]R = \int\limits^1_0 ({-3x + 2 + x^3} )dx\\\\R = \frac{-3}{2}*(1)^2 + 2*1 + \frac{1^4}{4} = 0.75[/tex]
So the area of region R is 0.75 square units.
If you want to learn more about integrals, you can read:
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simplify 5/9x4 3/5x6 3/11x6/10 and 3 4/5x7 1/2
Answer:
529/55 and 57/2
Step-by-step explanation:
I NEED HELP WITH MY HOMEWORK
Answer:
I-9I
Step-by-step explanation:
Absolute value (the straight brackets) is how far away the number is from zero, this makes -9 into positive 9
Answer:
C. |-9|
Step-by-step explanation:
|-9| = 9
9 > 7 > |5| (5) > -12
If 4–(x – 4) = 1 over 16 what is the value of x?
Answer:
4x+4=16
4x= 16–4
4x= 12
x= 12/4
x= 3
Alternatively,
4x+4=16
Taking 4 common,
4 (x+1) = 16
x+1 = 16/4
x+1 = 4
x = 4–1
x = 3
Step-by-step explanation:
The value of x is 68.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Parts of an Equation
There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables. As opposed to this, an equation with variables is an algebraic equation.
Given equation:
4/(x - 4) = 1 /16
Now, solving for x
4/(x - 4) = 1 /16
64 = x - 4
x= 68
Hence, the value of x is 68.
Learn more about equation here:
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#SPJ2
Write a function in vertex form that is translated 3 units down and 3 units to the right of f (x) = x^2
f (x) =
Answer:
f(x)= (x-3)^2-3
Step-by-step explanation:
Vertex Form: y= a(x-h)^2+k
a is the reflection
h and k are the vertex so in an ordered pair (x,y) = (h,k)
Since it is translating 3 units down it is going to be a negative 3. If it was translating up it would be positive 3. This represents the "k" because it is moving on the y-axis.
Since it is translating 3 units to the right it is going to be positive 3. If it was translating left it would be negative 3. This represents the "h" because it is moving on the x-axis.
After plugging it into the vertex form formula: f(x)= (x-3)^2-3
*notice when I plugged the "h" in it became negative because x-(3)= x-3*
*Pls help me*
No links
Answer:
See below ↓
Step-by-step explanation:
a. 4 ÷ (2/3) = 12/3 ÷ 2/3 = 12 ÷ 2 = 6
b. 4 ÷ 1 = 4
Attachment below.
Answer:
1: 6
2:4
Step-by-step explanation:
You randomly draw twice from this deck of cards
0 с G|F. D C G
What is the probability of not drawing a C, then not drawing a C,
without replacing the first card? Write your answer as a decimal
rounded to the nearest hundredth.
The probability of not drawing C in neither draw is P = 0.5
How to get the probability?
All the cards have the same probability of being drawn, in this case, our set of cards is {F, D, C, G}
The probability of not drawing C is equal to the probability of drawing F, D or G. So we have 3 options out of 4, then the probability is:
p = 3/4.
Now we draw another, this time there are 3 cards, one of these is C, and the other two cards are not C. Then the probability of not drawing C again is equal to 2 over 3.
q = 2/3.
The joint probability (for both of these events to happen) is equal to the product of the individual probabilities:
P = p*q = (3/4)*(2/3) = 0.5
If you want to learn more about probability, you can read:
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-5 x + 10 -20 need help with this
Answer:
-5(x+2)
Step-by-step explanation:
Find the lateral surface area of the rectangular prism in centimeters
Answer:
180 cm2 is the answer you can multiply all sides
Answer:
Step-by-step explanation:
length = l = 9 cm
Width = w= 3 cm
height = h = 4 cm
Lateral surface area = 2 *( lh+ lw)
= 2*( 9*4 + 9*3)
= 2 * (36 + 27)
= 2 * 63
= 126 square cm
A certain brand of laundry detergent is manufactured for $3.85 and then marked up 40% by the local store before selling. The store offers a 20% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of five bottles of detergent. (10 points)
Answer:
$21.56
Step-by-step explanation:
Original price = $3.85Marked up by 40% = 3.85 x 1.4 = $5.39 per bottleCost and discount of 5 bottles
Cost = 5 x 5.39 = $26.95Discount of 20% = 26.95 x 0.8 = $21.56Answer:
$21.56
Step-by-step explanation:
Original cost of one bottle of detergent = $3.85
Cost of one bottle after 40% mark up = 1.4 × $3.85 = $5.39
Cost of 5 bottles = 5 × $5.39 = $26.95
Cost of 5 bottles after applying 20% discount = 0.8 × $26.95 = $21.56
Therefore, the total cost of 5 bottles of detergent is $21.56
------------------------------------------------------------------------------------------------
Information about percetange increase/decrease
If you increase the price of something by 40% then it will be 140% of the original price (the original price is 100% and 100% + 40% = 140%).
Convert to decimal form: 140% = 140/100 = 1.4
Therefore, to calculate an increase of 40%, multiply the original price by 1.4
If you decrease the price of something by 20% then it will be 80% of the previous price (the original price is 100% and 100% - 20% = 80%).
Convert to decimal form: 80% = 80/100 = 0.8
Therefore, to calculate a decrease of 20%, multiply the previous price by 0.8
Find all the factors of 18.
A) 2, 9
B) 1, 2, 3, 6, 9, 18
C) 1, 2, 3, 4, 6, 8, 9, 18
Answer:
B)1, 2, 3, 6, 9, 18
Step-by-step explanation:
1×18
2×9
3×6
HOPE IT HELPS YOU
Can someone please help with this. I’m stuck.
Answer:
567 ghbvc. the high but
Step-by-step explanation:
solve accordingly to the picture
hope it helps
If AC= 8x-14 and EC = 2x + 11, solve for x.
Step-by-step explanation:
AC= 8x-14
AC+14=8x
x=(AC+14)÷8
EC=2x+11
EC-11=2x
x=(EC-11)÷2
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Please help me to answer this
What would be the corresponding angles ( similar figures ). Any help with this question will be gladly appreciated . Thank you
Answer:
x=4.8
I think ur supposed to solve for x. Since the rectangles are similar, we can set a proportion for the sides
5/3 = 8/x (then just solve for x)
24=5x
4.8=x
A box, with rectangular sides, base and top is to have a volume of 2 cubic feet. It has a square base. Express the
surface area A of the box in terms of the width w of the base. If the material for the base and top costs 10 dollars/ft2
and that for the sides costs 20 dollars/ft express the total cost C as a function of the width.
The total surface area is 2w² + 8/w, while the total cost is $(20w² + 160/w)
What is volume?Volume is the amount of space occupied by a three dimensional shape or object.
Let w represent the width of the base and h represent the height. Hence:
w²h = 2
h = 2/w²
The surface area = 2w² + 4(hw) = 2w² + 4(2/w² * w) = 2w² + 8/w
The total cost = 2w² * $10 + (8/w) * $20 = $(20w² + 160/w)
The total surface area is 2w² + 8/w, while the total cost is $(20w² + 160/w)
Find out more on volume at: https://brainly.com/question/12410983
C
X
A parabola has a focus at ( 1.5, 0) and a directrix of x= -1.5. Which of the following equations represent the parabola?
Step-by-step explanation:
Since the focus lies on the x axis, and the diretcrtirx is a vertical line, we have a sideways parabola so we have the equation
[tex](y - k) {}^{2} = 4p(x - h)[/tex]
where h,k is the vertex and
p is the distance from the vertex to the focus or the distance fromcthe vertex to the directrix.
Since the focus is 1.5, and the directrix is -1.5 the vertex is (0,0) so we have
[tex]y {}^{2} = 4px[/tex]
We know p is 1.5 so we have
[tex] {y}^{2} = 6x[/tex]
[tex] \frac{1}{6 } {y}^{2} = x[/tex]
Name three synonyms for "Solution": _____________,___________,______________
Answer:
1 quick fix 2 solving 3 result
Step-by-step explanation:
hope it helps
Write the number in standard form
and word form.
7 x 10 + 5 x 1 + 6 x (1/100) + 2 x
(1/1,000)
Answer:
75.062
Step-by-step explanation:
just add and multiply then remember that 1/100 or 1/1000 is just 0.001 or 0.01
Reflect the given triangle over
the x-axis.
[_
3 6 31
-3 3 3.
3 [?]
13
UD
[
[3 6 3]
( 3 3. 3]
THIS ANSWER IS CORRECT
Solution:
[tex]\sf \left[\begin{array}{ccc}3&6&3\\3&-3&-3\end{array}\right][/tex]
Explanation:[tex]\sf \left[\begin{array}{ccc}3&6&3\\-3&3&3\\\end{array}\right][/tex]
The rule for a reflection over the x -axis is (x,y) → (x,−y)
===============================================================
or multiply the matrix with: [tex]\left[\begin{array}{ccc}1&0\\0&-1\end{array}\right][/tex]
[tex]\dashrightarrow \ \sf \begin{pmatrix}1\cdot \:3+0\cdot \left(-3\right)&1\cdot \:6+0\cdot \:3&1\cdot \:3+0\cdot \:3\\ 0\cdot \:3+\left(-1\right)\left(-3\right)&0\cdot \:6+\left(-1\right)\cdot \:3&0\cdot \:3+\left(-1\right)\cdot \:3\end{pmatrix}[/tex]
Final answer:[tex]\sf \left[\begin{array}{ccc}3&6&3\\3&-3&-3\end{array}\right][/tex]
Convert the unit of weight. Use 1 lb = 16 oz. Express your answer in exact simplest form. 3 lb = _____ oz
3lb= ⋅ = _____oz ?
Answer:
48
Step-by-step explanation:
one pound equals 16 ounces so multiply each side by three and you get that 3 lb equals 48 ounces
Answer:
48 oz
Step-by-step explanation:
We know 1 lb = 16 oz. That means that to find how many oz are in 3 lbs, you have to multiply 16 by 3. That equals 48.
Please help me I don’t understand
Answer:
y=-2x + 5
Step-by-step explanation:
y=mx+b
m=slope
b= y intercept
since on the y line the line intercepts on 5 you replace 5 with the b.
As for the m(slope) when the line is decreasing (going down) its automatically a negative number. and since (0,5) (1,3) 5-3=2 -2 would be ur slope.
The number of men and women participating in the Winter Olympic Games has been steadily increasing in recent years. In the 19th Winter Olympics, 1389 men and 787 women participated. 1660 men and 1121 women participated in the 22nd Winter Olympics.
Part A
Which system describes the number of men and women participating if x represents the number of winter games after the 22nd Winter Olympics?
Multiple choice question.
A)
y=1389x+1660y=787x+1121
B)
y=2713x+1121y=3343x+1660
C)
y=2713x+1389y=3343x+787
D)
y=2713x+1660y=3343x+1121
Using a system of equations, it is found that the correct option is:
A) 1389x+1660y=787x+1121y.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, considering the amounts in each olympics(1389 men and 787 women participated on the 19th, 1660 men and 1121 women in the 22th), the system is:
A) 1389x+1660y=787x+1121y.
More can be learned about a system of equations at https://brainly.com/question/24342899
A mother invests $7000 in a bank account at the time of her daughter's birth. The interest is 18) compounded quarterly at a rate of 8%. What will be the value of the daughter's account on her twentieth birthday, assuming no other deposits or withdrawals are made during this period?
well, from birth to your twentieth birthday that'll just be 20 years, so
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$7000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &20 \end{cases} \\\\\\ A=7000\left(1+\frac{0.08}{4}\right)^{4\cdot 20}\implies A=7000(1.02)^{80}\implies A\approx 34128.07[/tex]