Incomplete Question:
The content of the pie chart is as follows:
Hamsters = 9% ; Snakes = 10% ; Cats = 23%
Birds = 21% ; Dogs = 26% ; Fish = 11%
Answer:
The number of citizens who chose cat or fish is 47,600
Step-by-step explanation:
Given
Number of citizens = 140,000
Required
Determine the number of those that chose fish or cats
First, we need to calculate the percentage of those whose pets are either cats or fish
[tex]Percentage = Cat + Fish[/tex]
Substitute 23% for cat and 11% for fish
[tex]Percentage = 23\% + 11\%[/tex]
[tex]Percentage = 34\%[/tex]
Next, is to multiply the calculated percentage by the number of citizens
[tex]Cat\ or\ Fish = Percentage * Number\ of\ Citizens[/tex]
[tex]Cat\ or\ Fish = 34\% * 140000[/tex]
[tex]Cat\ or\ fish = 47600[/tex]
Hence, the number of citizens who chose cat or fish is 47,600
the number of citizens who chose cat or fish is 47,600
The calculation is as follows;= Number of citizens × total percentage
[tex]= 140,000 \times (23\% + 11\%)\\\\= 140,000 \times 34\%[/tex]
= 47,600
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2. A curve has equation y = x2 – 2x - 3. A point moves along the curve in such a way that at P
the y coordinate is increasing at 4 units per second and the x coordinate is increasing at 6
units per second. Find the x coordinate of P.
[3]
Answer:
The x coordinate of P is [tex]\frac{4}{3}[/tex].
Step-by-step explanation:
Let is find the rate of change of the equation in time, which consists in a composite differentiation. That is:
[tex]\frac{dy}{dt} = 2\cdot x \cdot \frac{dx}{dt} -2\cdot \frac{dx}{dt}[/tex]
According to the statement of the problem, these variables are known:
[tex]\frac{dx}{dt} = 6[/tex] and [tex]\frac{dy}{dt} = 4[/tex]
Hence, the x coordinate of P is found by direct substitution:
[tex]4 = 2\cdot x \cdot (6)-2\cdot (6)[/tex]
[tex]4 = 12\cdot x -12[/tex]
[tex]x = \frac{4}{3}[/tex]
The x coordinate of P is [tex]\frac{4}{3}[/tex].
Consider the equation: x 2 − 6 = 2 − 18 x x 2 −6=2−18xx, squared, minus, 6, equals, 2, minus, 18, x 1) Rewrite the equation by completing the square. Your equation should look like ( x + c ) 2 = d (x+c) 2 =dleft parenthesis, x, plus, c, right parenthesis, squared, equals, d or ( x − c ) 2 = d (x−c) 2 =dleft parenthesis, x, minus, c, right parenthesis, squared, equals, d. 2) What are the solutions to the equation? Choose 1 answer: Choose 1 answer: (Choice A) A x = 9 ± 89 x=9±89x, equals, 9, plus minus, 89 (Choice B) B x = − 9 ± 89 x=−9±89x, equals, minus, 9, plus minus, 89 (Choice C) C x = 9 ± 89 x=9± 89 x, equals, 9, plus minus, square root of, 89, end square root (Choice D) D x = − 9 ± 89 x=−9± 89 x, equals, minus, 9, plus minus, square root of, 89, end square root
Answer:
1. (x+9)^2 = 89
2. (Choice D) D x = − 9 ± 89 x=−9± 89 x, equals, minus, 9, plus minus, square root of, 89, end square root
Step-by-step explanation:
x^2 - 6 = 2 - 18x
1) rewrite the equation by completing the square
x^2 - 6 = 2 - 18x
x^2 + 18x = 2+6
x^2 + 18x = 8
Find the half of the coefficient of x and square it
18x
Half=9
Square half=(9)^2
=81
Add 81 to both sides
x^2 + 18x = 8
x^2 + 18x + 81 = 8 + 81
x^2 + 18x + 81 = 89
(x+9)^2 = 89
Check:
(x+9)(x+9)=89
x^2 + 9x + 9x + 81=89
x^2 + 18x +81 =89
2) (x+9)^2 = 89
√(x+9)^2 = √89
x+9=√89
x=√89 - 9
It can be rewritten as
x= -9 ± √89
(Choice D) D x = − 9 ± 89 x=−9± 89 x, equals, minus, 9, plus minus, square root of, 89, end square root
can someone please help me
Answer:
y=3
Step-by-step explanation:
7y-(5y+4)=10
7y-5y+4=10
-4 -4
7y-5y=6
2y=6
÷2 ÷2
y=3
Write an absolute value equation to satisfy the given solution set shown on a number line.
Answer:
Step-by-step explanation:
|x-a|≤b
-b≤x-a≤b
add a
a-b≤x≤a+b
put a-b=-8
a+b=-4
add
2a=-12
a=-12/2=-6
-6+b=-4
b=-4+6=2
so |x+6|≤2
What is the image point of (-5,9) after a translation left 1 unit and down 1 unit?
Answer: (-6,8)
Step-by-step explanation:
Translation is a rigid motion inn which every point of the figure moved in the same direction and for the same distanceTranslation rules are
Left c units : [tex](x,y)\to(x-c,y)[/tex]
Down c units : [tex](x,y)\to(x,y-c)[/tex]
The image point of (-5,9) after a translation left 1 unit and down 1 unit will be:
[tex](-5,9)\to(-5-1,9-1)=(-6,8)[/tex]
Hence, the image point is (-6,8).
Your car gets 15 miles per gallon and your friend's car averages 25 mpg. You decide
head off to St. George Island on vacation, 361 miles away. If gas costs $2.79/gallon and you decide to split the
gas costs, how much money will you save by driving your friend's car?
Answer:
the answer is $27.90
Step-by-step explanation:
if you do 15 times 2.79 you will get $41.85
then do 25 times 2.79 and you will get $69.75
then subtract 69.75 from 41.85 and your answer will be $27.90
i hope this helps this is the only way i could find the answer!
$29.4864 money will you save by driving your friend's car.
Given that, your car gets 15 miles per gallon and your friend's car averages 25 mpg.
You decide to go on a road trip to St. George Island, which is 361 miles away.
What are Gallons?A unit of volume for measuring liquids. 1 gallon = 4 quarts = 8 pints = 16 cups = 128 fluid ounces. 1 US gallon = 231 cubic inches = 3.785411784 liters exactly.
Gallons needed for your car =361/15=24.06 gallons
Cost of 24.06 gallons of gas=24.06×2.79=$69.774
Gallons needed for friends car =361/25=14.44 gallons
Cost of 4.44 gallons of gas=14.44×2.79=$40.2876
Hence, while driving a friend's car you will save 69.774-40.2876=$29.4864
Therefore, $29.4864 money will you save by driving your friend's car.
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8 is subtracted from the square of a number
Answer:
n^2-8 is the answer
Step-by-step explanation:
Multiply.
(7c+6)(-5c-4)
Simplify your answer.
Х
Answer:
120c
Step-by-step explanation:
7c(-5c)*(-4+6)
7c+5c*4+6
12c*10
120c
Answer:
the answer can be step by step explanation will be found in the answer was Matilda by 776 7 x 6 then the answer you will you - with the answer dancer used you New divide the answer that answer the simple your answer if we multiply you can contact me and say me in which is correct or wrong and I am a teacher
2.3 repeating as a fraction or percentage
You are selling lemonade for $1.50, a bag of kettle corn for $3, and a hot dog for $2.50 at a fair. Write and simplify an expression for the amount of money you receive when p people buy one of each item
Answer:
1.5p + 3p + 2.5p
Step-by-step explanation:
This expression, 1.5p + 3p + 2.5p, will represent the amount of money received when p people buy one of each food item.
Since the price of each is the coefficient for p, this will represent how much money will be gained from each food item. All 3 terms will be added together to represent the total amount of money gained from selling all 3 items.
Solve for x: 3/5=x-1/8
Answer:
x = [tex]\frac{29}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{3}{5}[/tex] = [tex]\frac{x-1}{8}[/tex] ( cross- multiply )
5(x - 1) = 24 ← distribute parenthesis on left side
5x - 5 = 24 ( add 5 to both sides )
5x = 29 ( divide both sides by 5 )
x = [tex]\frac{29}{5}[/tex]
2. The fraction 84 by 98 in simplest form is
Answer: 6/7
Step-by-step explanation: Since the Greatest common factor of 84 and 98 is 14, you divide both sides of 84/98 by 14 to get 6/7
Answer:6/7
Step-by-step explanation:The greatest common factor of both numerator and denominator is 14.So if you divide 84 by 14 you will get 6 and if you divide 98 by 14 you get 7.
Solve five and six eighths plus four and four fifths.
Answer:
Two and three fourtieths.
Step-by-step explanation:
5 6/8 + 4 4/5
= 46/8 + 24/5
= 83/40
= 2 3/40
Two and three fourtieths(2 3/40) is the answer.
Answer: 9 22/40
Step-by-step explanation:
Ernesto solves the equation below by first squaring both sides of the equation. \sqrt{\dfrac{1}{2}w+8}=-2 2 1 w+8 =−2square root of, start fraction, 1, divided by, 2, end fraction, w, plus, 8, end square root, equals, minus, 2 What extraneous solution does Ernesto obtain?
Answer:
w = -8Step-by-step explanation:
Given the equation solved by Ernesto expressed as [tex]\sqrt{\dfrac{1}{2}w+8}=-2[/tex], the extraneous solution obtained by Ernesto is shown below;
[tex]\sqrt{\dfrac{1}{2}w+8}=-2\\\\square\ both \ sides \ of \ the \ equation\\(\sqrt{\dfrac{1}{2}w+8})^2=(-2)^2\\\\\dfrac{1}{2}w+8 = 4\\\\Subtract \ 8 \ from \ both \ sides\\\\\dfrac{1}{2}w+8 - 8= 4- 8\\\\\dfrac{1}{2}w= -4\\\\multiply \ both \ sides \ by \ 2\\\\\dfrac{1}{2}w*2= -4*2\\\\w = -8[/tex]
Hence, the extraneous solution that Ernesto obtained is w = -8
1. Which of the following is a true statement?
?
a. To square a number, multiply the number
by 2.
b. The inverse of squaring a number is to
divide the number by 2.
c. To square a number, multiply the number
by itself.
d. A perfect square is a number who's
square root is an even number.
Answer:
C
Step-by-step explanation:
Definitely not a! To square a number you multiply it by itself. for example, if you were squaring 3, you would do 3x3.
Not b either! You will have to take the SQUARE ROOT of the number!
C is the right answer, as I said for a.
D is wrong! The perfect square 49 has a sqrt (square root) of 7. That is NOT even, so d cannot be true.
C is the only true statement. Also, if this is right, can I get branliest answer? Thx :)
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. The height (in feet) of a rocket launched from the ground is given by the function f(t) = -16t2 + 160t. Match each value of time elapsed (in seconds) after the rocket’s launch to the rocket's corresponding instantaneous velocity (in feet/second).
Answer:
The pairs are;
t, v
2, 96
4, 32
5, 0
6, -32
7, -64
9, -128
Step-by-step explanation:
The given equation is f(t) = -16·t² + 160·t
We have, the velocity, v = d(f(t))/dt = d(-16·t² + 160·t)/dt = -32·t + 160
Which gives;
t, v
0, -32×(0) + 160 = 160
1, -32×(1) + 160 = 128
2, -32×(2) + 160 = 96
3, -32×(3) + 160 = 64
4, -32×(4) + 160 = 32
5, -32×(5) + 160 = 0
6, -32×(6) + 160 = -32
7, -32×(7) + 160 = -64
8, -32×(8) + 160 = -96
9, -32×(9) + 160 = -128
The given velocity values are;
96, -64, 32, 0, -128, -32 which correspond to 2, 7, 4, 5, 9, 6
The pairs are;
t, v
2, 96
4, 32
5, 0
6, -32
7, -64
9, -128
Given that ΔABC is a right triangle with the right angle at C, which of the following is true?
1. tan A = 1/(tan B)
2. tan A = sin B
3. cos A = 1/(cos B)
4. sin B = 1/(sin A)
Answer:
1. tan A = 1/(tan B)
Step-by-step explanation:
By definition,
tangent A = opposite / adjacent = a / b
and
tangent B = opposite / adjacent = b / a
Therefore tangent A = a/b = 1/tan(B)
Answer: Tan a=tan b
I belive
Step-by-step explanation:
is 1 whole 1 by 3 considered as an integer??
Answer:
No it's not.
Step-by-step explanation:
[tex]1 \frac{1}{3} = \frac{4}{3} = 1.333333[/tex]
Integers are set of numbers consisting
Whole numberNatural numberNegative numbersIt doesn't consist
Fractions &DecimalsHope this helps ;) ❤❤❤
Answer:
[tex]\boxed{\sf No}[/tex]
Step-by-step explanation:
[tex]\displaystyle 1 \frac{1}{3} =1.3333333...[/tex]
Integers are whole numbers that can be positive or negative. Integers do not include fractions and decimals.
Need help 24 to 28 giving 30 points
Answer:
24 is a and d
25 is c
26 is b
27 is a and b
28 is b
Step-by-step explanation:
15 Points and Brainliest :)
Answer:
Step-by-step explanation:
Hello, please consider the following.
Option A. First week we got $200.
Week 2, we got $200+$50=$250
Week 3, we got $250+$50=$300
Week 4, we got $300+$50=$350
Week 5, we got $350+$50=$400
Week 6, we got $400+$50=$450
[tex]\begin{array}{c |c |c |c |c |c |c|}Week & 1 & 2 & 3 & 4 & 5 & 6\\----&---&---&---&---&---&---\\Amount &200 &250 &300 &350 & 400 &450\end{array}[/tex]
Option B. First week we got $200.
Week 2, we got $200+$200*10%=$200+$20=$220
Week 3, we got $220(1+10%)=$220(1.10)=$242
Week 4, we got $242(1.10)=$266.2
Week 5, we got $266.2(1.10)=$292.82
Week 6, we got $292.82(1.10)=$322.102
[tex]\begin{array}{c |c |c |c |c |c |c|}Week & 1 & 2 & 3 & 4 & 5 & 6\\----&---&---&---&---&---&---\\Amount &200 &220 &242 &266.2 & 292.82 &322.102\end{array}[/tex]
Thank you.
The equation 3w + 4j = 39 is used to determine the number of water bottles w and the number of juice bottles j that can be bought for $39. If you purchase 6 bottles of juice, how many bottles of water can you buy? A. 3 B. 5 C. 15 D. 17
===================================================
How I got this answer:
j = 6 because you bought 6 bottles of juice
We use this to find the value of w
3w + 4j = 39
3w + 4(6) = 39 ... j replaced with 6 since j = 6
3w + 24 = 39
3w + 24-24 = 39-24 ... subtract 24 from both sides
3w = 15
3w/3 = 15/3 ... dividing both sides by 3
w = 5
------------
If j = 6, then w = 5
To check this, we plug both values into the equation and we should get 39 on both sides
3w + 4j = 39
3(5) + 4(6) = 39
15 + 24 = 39
39 = 39 ... true statement; answer is confirmed
I need helpp!! match the building block of geometry to the statement that defines it.
1)DIAGRAM
A)a formal statement declaring the meaning of
a word
2)DEFINITION
B)a visual tool representing mathematical
ideas to be interpreted
3)THEOREM
C)a mathematical statement proven using
postulates and definitions
4)POSTULATE
D)a mathematical statement taken as a fact
Answer:
1) [tex]DIAGRAM \mapsto B[/tex]
2) DEFINITION [tex]\mapsto A[/tex]
3) THEOREM [tex]\mapsto C[/tex]
4) POSTULATE [tex]\mapsto D[/tex]
Step-by-step explanation:
1) DIAGRAM B) A visual tool representing mathematical ideas to be interpreted
A diagram is the depiction or representation of information using symbols
2) DEFINITION A) A formal statement declaring the meaning of a word
A definition is a statement that outlines the meaning of a word or a group of words or a diagram, or a symbol or sign
3) THEOREM C) A mathematical statement proven using postulates and definitions
A general statement of a proposition that is by itself not evident, but given proof by a combination of postulates
4) POSTULATE D) A mathematical statement taken as a fact
An assumed truth taken as the foundation for further reasoning
Use the number line to plot –3, 1, and 3.
Which statements are true? Select all that apply.
–3 > 1
–3 = 3
1 < 3
–3 < 1
Answer:
Options 3 and 4 are correct
Step-by-step explanation:
-3>1 is false bc a positive is always greater than a negative
-3=3 is false because a positive is not equal to a negative
1<3 is correct because 1 is less than 3
-3<1 is correct because a negative is always less than a positive.
Answer:
1 < 3
–3 < 1
Step-by-step explanation:
The circle shown above has a radius of 5 units, and the central angle of the sector that is shaded is 25π radians. Determine the area of the shaded sector, in terms of π. Enter the area of the sector.
Answer:
The answer is below
Step-by-step explanation:
Given that:
The radius of the circle (r) = 5 units
The central angle (θ) = 25π
A sector of a circle is the portion of a circle made up of two of its radii and an arc. The area of a sector that subtends with a central angle (θ) and a radius (r) is given by the formula:
[tex]Area\ of\ sector=\frac{\theta}{360} *\pi r^2[/tex]
Substituting the radius of the circle and the central angle:
[tex]Area\ of\ sector=\frac{\theta}{360} *\pi r^2\\\\Area\ of\ sector=\frac{25\pi}{360} *\pi (5)^2\\\\Area\ of\ sector=\frac{125\pi^2}{72}[/tex]
Match the vocab word
Answer:
1). Algebraic expression - a letter or symbol used to represent an unknown.
2). Coefficient - a numerical value.
3). Constant - the constant preceding the variables in a product.
4). Expression - a mathematical expression containing one or more variables.
5). Variable - a mathematical phrase that cannot be determined true or false.
meagan worked 24 hours and earned $84 what is her rate pay
Answer: 3.50 Per hour
Step-by-step explanation:
Divide 84 by 24
The diagram below is divided into equal parts. Which ratio correctly compares the number of shaded sections to the total number of sections? A diagram is divided into 4 shaded parts and 4 white parts. One-half 4 to 4 2:1 StartFraction 8 Over 4 EndFraction
Answer: 1/2 is correct.
Step-by-step explanation:
There are 8 total parts, and 4 of them are shaded. 4 is half of 8, therefore, your answer is 1/2.
Hope this helps!
Answer:
The answer is A
Step-by-step explanation:
because there are 4 shaded parts and 8 parts in total.
4/8=1/2
It's A
Compare the functions shown below: f(x) cosine graph with points at 0, negative 1 and pi over 2, 1 and pi, 3 and 3 pi over 2, 1 and 2 pi, negative 1 g(x) x y −6 −11 −5 −6 −4 −3 −3 −2 −2 −3 −1 −6 0 −11 h(x) = 2 cos x + 1 Which function has the greatest maximum y-value?
Answer:
f(x) and h(x) have the same maximum value: 3
Step-by-step explanation:
The maximum value of f(x) is 3 at (π, 3).
The maximum value of g(x) is -2 at (-3, -2).
The maximum value of h(x) is 3 at (0, 3).
Both f(x) and h(x) have the same (greatest) maximum value.
how many are 5 raised to 3 ???
Answer:
[tex]\boxed{125}[/tex]
Step-by-step explanation:
Hey there!
Well 5 raised to the 3 can be written as,
[tex]5^3[/tex]
This is 5*5*5
= 125
Hope this helps :)
13. Choose the correct option: If 5 p + 6 = 7, then p = ? 2 a) p = 7 ×2−6 b) p = ( 7−6)×5 c) p = ( 7−6)×2 5 2 5
Answer:
p = (7 - 6)/5Step-by-step explanation:
Given the expression 5 p + 6 = 7, to know the value of variable p. we need to make p the subject of the formula as shown;
Given 5 p + 6 = 7
Step 1: Subtract 6 from both sides
5p+6-6 = 7-6
5p = 7-6
Step 2: We will then divide both sides by the coefficient of p i.e 5 to have;
5p/5 = (7 - 6)/5
p = (7 - 6)/5
Hence, the correct expression of variable p is p = (7 - 6)/5
