Answer:
(5x - 4) = 2(2x + 1)
Step-by-step explanation:
Since Ancilla is twice as old as Christabel
Ancilla's age (5x - 4) is twice Christabel (2x + 1) so,
(5x - 4) = 2(2x + 1)
...
You are planning a 500 mile trip and your car averages 20 miles per gallon.
How many gallons of gas will be required?
Answer:
25
ggggggggggggggggggg
Answer: 25
Step-by-step explanation:
If you are willing to help an idi0t, the click here! if not, well, then, don't click! ;)
Answer:
1 no False
2 no True
3 no True
4 no False
Step-by-step explanation:
find the value of x. can someone please help me right noww
Answer:
x = 88
Step-by-step explanation:
The opposite angles of a cyclic quadrilateral are supplementary, then
x = 180 - 92 = 88
Zina goes shopping. She buys in the same store two scarves and three T-shirts for
49 euros. A week later, it was the sales: reduction of 1.5 euros on scarves and 2 euros
on t-shirts. Zina took the opportunity and for 40 euros, she was able to buy four scarves and five T-shirts.
What was the price of a scarf and a T-shirt before the sales?
THX FOR HELPING!
Answer:
The price of T-shirts before the sale = 42 euros
The price of scarves before the sale = -77/2 euros
Step-by-step explanation:
The cost of the items Zina buys from the store initially are;
Two scarves and three T-shirts for 49 euros
The reduction in the price of scarves a week later during sales = 1.5 euros
The reduction in the price of T-shirts a week later during sales = 2 euros
The items Zina bought for 40 euros at the reduced price of the sales opportunity are;
Four scarves and five T-shirts for 40 euros
Let 'x' represent the initial price of a scarf and let 'y' represent the initial price of a T-shirt, we have;
2·x + 3·y = 49...(1)
4·(x - 1.5) + 5·(y - 2) = 40...(2)
Expanding equation (2) gives;
4·x - 6 + 5·y - 10 = 40
4·x + 5·y = 40 + 6 + 10 = 56
∴ 4·x + 5·y = 56...(3)
By multiplying equation (1) by 2 and subtracting the result from equation (3), we get;
4·x + 5·y - 2 × (2·x + 3·y) = 56 - 2 × 49 = -63
-y = -42
y = 42
The price of T-shirts before the sale = 42 euros
x = (49 - 3 × 42)/2 = -77/2
x = -77/2
The price of scarves before the sale = -77/2 euros
(However, if the had bought the 4 scarves and 5 T-shirts during sales at 70 euros, we get;
The price of T-shirts before the sale = 12 euros
The price of scarves before the sale = 6.5 euros.
The allowable total price for the reduced 4 scarves and 5 T-shirts is between 66 and about 82 for both initial prices to be +ve)
The table below shows the number of marbles of different colors in a bag:
Marble Experiment
Color of
Marbles Number of
Marbles
Red
1
White
5
Black
10
Ursula draws a marble from the bag randomly without looking. She then draws another marble from the bag without replacing the first one. Which expression shows the probability of drawing black marbles in both the trials?
10 over 16 added to 9 over 16
10 over 16 added to 9 over 15
10 over 16 multiplied by 9 over 16
10 over 16 multiplied by 9 over 15
Step-by-step explanation:
10 over 16 multiplied by 9 over 16
How to find the radius in a sector with the perimeter of 210 and angle of 30°
Answer:
0.52 (rounded)
Step-by-step explanation:
working out in image
I will mark you brainlest!
On Saturday Leon biked an average speed of 14.5 miles per hour for 1.5 hours. Then on Sunday he biked in average speed of 15 per hour for 2.75 hour. What was the total distance Leon bike in miles in weekend?
Answer: 63
Step-by-step explanation:
14.5x1.5=21.75
15x2.75=41.25
21.75+41.25=63
PLEASE HELPPPPPPPPPPPPPPPPPPPPPP I BEG
Answer:
I think it's 4/10 which is 0.4
Step-by-step explanation:
Answer:
I think the answer is 0.4 or 4/10 as well as the other guy
Step-by-step explanation:
I need help, and a step by step explanation! :)
Answer:
90°
Step-by-step explanation:
There is no work. We know the right angle in the triangle and the x are supplementary. Meaning, they add up to 180 degrees. Therefore, 180-90 = 90. Think of it as a full triangle. If the 40 at the top was not half, but a full triangle, the 40 at the top would become 80. The 50 in the bottom left would mean there would be a 50 in the bottom right when you mirror the triangle. Therefore, you also need x to be 90 to make it a right triangle.
For each given sequence: write down term to term rule and position to term rules 2,5,8,11,14
Answer:
Tn = 3n + 1
Step-by-step explanation:
The given sequence 2,5,8,11,14 is an arithmetic sequence
The nth term of an arithmetic sequence is expressed as;
Tn = a + (n-1)d
a is the first term
d is the common difference
n is the number of terms
Given
a = 2
d = 5-2 = 8-5 = 3
Substitute into the formula
Tn = 2 + (n-1) * 3
Tn = 2 + 3n - 3
Tn = 3n + 1
This gives the term rule for the sequence
There are 3 black shoes and 9 red shoes. The ratio is 3:9. What fraction of shoes are black? *
Answer: 3/12
is the fraction
Answer:
1/4
Step-by-step explanation:
9+3=12, 3/12=1/4
I hope this helps
workout and answer this 2c+4=8
Answer:
c=2
Step-by-step explanation:
8-4=4
4÷2=2
c=2
brainliest plz?
which throw is nearest to 71.1m? 71.8m, 71.08m, 71.82m, 71.79m, 72m
Answer:
71.08 is the closest
Step-by-step explanation:
71.8 is .7 away
71.08 is .02 away
71.82 is .72 away
72 is .9 away
Brainliest?
please help me answer this.
correct answer please
Answer:
20%
Step-by-step explanation:
[tex]1)\ 40 - 17 = 23\ (number\ of\ females)[/tex]
[tex]2)\ 23 - 15 = 8\ (number\ of\ non-black\ female\ rabbits)[/tex]
[tex]3)\ P = \frac{8}{40} * 100 = \frac{1}{5} * 100 = 20[/tex]
If angle a has the terminal ray that falls in the fourth quadrant and cosine a equals 5/9 then determine the value of sin a in simplest radical form
Answer: [tex]-\dfrac{2\sqrt{14}}{9}[/tex]
Step-by-step explanation:
Given
[tex]\cos a=\dfrac{5}{9}[/tex]
[tex]a[/tex] lies in the fourth quadrant
So, sine must be negative in the fourth quadrant
Using identity [tex]\sin ^2 x+\cos^2 x=1[/tex] to find sine value
[tex]\Rightarrow \sin^2 a=1-\dfrac{5^2}{9^2}[/tex]
[tex]\\\\\Rightarrow \sin^2 a=1-\dfrac{25}{81}\\\\\\\Rightarrow \sin^2 a=\dfrac{56}{81}\\\\\\\Rightarrow \sin a=-\sqrt{\dfrac{56}{81}}\\\\\\\Rightarrow \sin a=-\dfrac{2\sqrt{14}}{9}[/tex]
HELP IM BEING TIEMEEEEEEEEEEEEEEEEED
Answer:
-2
Step-by-step explanation:
What number is represented by point P?
Answer:
0.0057
Step-by-step explanation:
Narrow it down.The point P is between 5 * 10^-3 and and 6*10^-3When you go to the bottom line, P is on the 7th division from the left. Going from left to right increases PP is on a line that goes between 5 and 6. Each division is 1/10. So P is in the tenth place.One of the answers is 5.7 * 10^-3The other answer is .0057I really don't know which one to choose because we are given no direction. As a programmer, 0.0057 would be easier to program. I would choose it. If it is not correct, then 5.7 * 10^-3 is the answer.PLEASE HELP FAST 100 POINTS!
Construct the graph of the following function and identify its zeros on the same document. f(x) = (-x + 2)(x + 1)(x +2). Upload your document in the box below.
Answer:
Given function:
f(x) = (-x + 2)(x + 1)(x +2)We can rewrite it as:
f(x) = - (x - 2)(x + 1)(x +2)Zeros are:
- (x - 2)(x + 1)(x +2) = 0x - 2 = 0 ⇒ x = 2x + 1 = 0 ⇒ x = -1x + 2 = 0 ⇒ x = -2As leading coefficient is negative the function is decreasing.
As the function is of degree 3, it is odd.
Considering the above two factors we can define the shape of the graph:
It is decreasing function with one local minimum and one local maximum.See the graph and zero's reflected.
Analyze the function:
[tex]f(x) = \\ ( - x + 2)(x + 1)(x + 2)[/tex]
Write properties of function:
Solution:
x-intercept/zero
[tex] {x}^{1} = - 2 \\ {x}^{2} = - 1 \\ {x}^{3} = 2[/tex]
y-intercept:
[tex]y = 4[/tex]
domain:
[tex]( - \infty \: . \: + \infty )[/tex]
type of function:
[tex]cubic \: function[/tex]
standard form:
[tex]f(x) = - {x}^{3} - {x}^{2} + 4x + 4[/tex]
factorized form:
[tex]f(x) = - ( - (x + 1)( x + 2) ( - 2x + 2))[/tex]
even/odd:
[tex]neither[/tex]
bounce/cross x-axis:
[tex]x = - 2 \: . \: cross \: . \: x = - 1 \: . \: cross \: . \: x = 2 \: . \: cross[/tex]
increasing interval:
[tex]{ - \frac{1}{3} - \frac{ \sqrt{13} }{3} - \frac{1}{3} + \frac{ \sqrt{13} }{3} }[/tex]
decreasing interval:
[tex]( - \infty - \frac{1}{3} - \frac{ \sqrt{13} }{3} )( - \frac{1}{3} + \frac{ \sqrt{13} }{3} \infty )[/tex]
number of possibles real zero:
[tex]3[/tex]
number of possible turning points:
[tex]2[/tex]
order/degree:
[tex]3[/tex]
leading term:
[tex] - {x}^{3} [/tex]
leading coefficient:
[tex] - 1[/tex]
constant terms:
[tex] - 1[/tex]
end behavior:
[tex]as \: x + \infty \: f(x) - \infty \\ as \: x - \infty f(x) \infty [/tex]
If a box has 5 red, 3 green, and 4 blue jelly beans, then what is the probability of choosing
at random a red jelly bean?
7/12, 5/12, 1/12, 2/7
Answer:
2/7
Step-by-step explanation:
Answer:
5/12
Step-by-step explanation:
All the beans are equally likely to be chosen, so the bottom (denominator) of the fraction is 12 (there are 12 beans in the box).
The numerator is 5 because that's the number of red beans in the box.
PLEASE HELP!!!!!!!!!
Answer:
if I had to guess I whould say i
Calculate AC
Round to the nearest tenth.
Answer:
3,266.53
Step-by-step explanation:
i looked it up :)
Answer:
AC = 11.4
Step-by-step explanation:
6/sin 23 = AC/sin 132
6 sin 132/sin 23 = AC
AC = 11.4
which expression equivalent to 5(4x+3)-2
Find the sum. Enter your answer in the box below as a fraction, using the slash mark (/) for the fraction bar. 7/17 + 9 /17
Simplify,
-6(7-6x)+2(-6-4x)
Answer:
-54+28x
Step-by-step explanation:
-6(7-6x)+2(-6-4x)
-42+36x+2(-6-4x)
-42+36x-12-8x
-54+36x-8x
-54+28x
If this helps please mark as brainliest
Line m is represented by the equation y + 2 = 3/2(x + 4). Select all equations that
represent lines perpendicular to line m.
A. y = -3/2x +4
B. y = -2/3x +4
C. y = 2/3x +4
D. y = 3/2x +4
E.y+1=-4/6(x+5)
F.y+ 1 = 3/2(x + 5)
The equations representing the lines that are perpendicular to line m are:
B. y = -2/3x +4
E. y+1=-4/6(x+5)
What is the Slope of Perpendicular Lines?Lines that are perpendicular to each other have slopes that are negative reciprocal of each other.
For example, if a line has a slope of 2, the slope of a line that is perpendicular to it would be, -1/2 (negative reciprocal of 2).
Determine the slope of the given line whose equation is, y + 2 = 3/2(x + 4). Rewrite the equation in slope-intercept form [y = mx + b]:
y + 2 = 3/2x + 6
y = 3/2x + 6 - 2
y = 3/2x + 4
The slope is therefore 3/2.
Negative reciprocal of 3/2 is -2/3.
Examine each of the equations given and see which equation has a slope of -2/3.
A. y = -3/2x +4, the slope is -3/2.
B. y = -2/3x + 4, the slope is -2/3. (perpendicular)
C. y = 2/3x +4, the slope is 2/3.
D. y = 3/2x +4, the slope is 3/2.
E. y+1=-4/6(x+5), rewrite in slope-intercept form
y+1=-4/6x + 20/6
y + 1 = -2/3x + 10/3
The slope is -2/3. (perpendicular)
F. y+ 1 = 3/2(x + 5), the slope is 3/2.
Therefore, the equations representing the lines that are perpendicular to line m are:
B. y = -2/3x +4
E. y+1=-4/6(x+5)
Learn more about equations of perpendicular lines on:
https://brainly.com/question/7098341
What is 70×100000? will give 30 points.
Answer:
70000000
Step-by-step explanation:
Early is cutting a piece of cardboard in his art class. First, he cut off 20% of the cardboard. Then he cut off 1/3
of the cardboard that was left. The piece of cardboard that Earl started with had an area of 900 square centimeters. What is the area, in square centimeters, of cardboard that was left after Earl made his cuts?
Answer:
7
Step-by-step explanation:
Write the ratio 18 inches:1 yard in its
simplest form.
Answer:
1/2
Step-by-step explanation:
18 inches is 1 1/2 ft
so 1/2 since it is half a yard
Which of the following is the equation of a circle with center Left-parenthesis 5 comma negative 2 right-parenthesis and a radius of 3?
Answer:
A.
Step-by-step explanation:
(x-5)^2 +(y+ 2)^2= 9 radius
Rest of the questions...
1. A. (x-5)^2 +(y+ 2)^2= 9 radius
2. C. (x-3)^2+(y+5)^2= 64
3. A. Center =(-8,-9) radius 3
4. The equation of a circle is (x-7)^2 + y^2=225
5. A circle with center (-2,6) passes through the point (-2,10).
6. A circle with center (1,2) passes through the point (0,6).
7. Write the equation of the circle shown here.
8. C. (x-4)^2 + (y-3)^2
9. C. x^2+Y^2 = 15,81,600
10. Part B which of the following is the length of a 1 degree arc on the equator, to the nearest mile.
This is an easy question
Answer:
tara has 29 red pens shawn had 3 red pens before.
Step-by-step explanation:
Answer:
Hello! answer for the first question: 29
answer for the second question: 3
Hope that helps!
8 + r = 11 r = 3