Tinky Winky is 2 years younger than Laa Laa. If the product of Tinky's and Laa Laa's ages is equal to 1 less than 5 times the sum of their ages, how old is Tinky?
Answer:
Solution:-Let
Tinky's age=x
Laa's age=x+2
According to the question
[tex]\qquad\quad {:}\longmapsto\sf 5 (x+x+2)-1=x (x+2)[/tex]
[tex]\qquad\quad {:}\longmapsto\sf 5(2x+2)-1=x^2+2x [/tex]
[tex]\qquad\quad {:}\longmapsto\sf 10x+5-1=x^2+2x [/tex]
[tex]\qquad\quad {:}\longmapsto\sf 10x+4=x^2+2x [/tex]
[tex]\qquad\quad {:}\longmapsto\sf 10x-2x+4=x^2 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x^2=8x+4 [/tex]
[tex]\qquad\quad {:}\longmapsto\sf x^2-8x-4=0 [/tex]
9.) At the electronics store where you
sells for $459.20, what was the original
price of the tv
Answer:
558.7805
Step-by-step explanation:
Please help me!!!!!!
Answer:
C.) y=-2/3+4
Step-by-step explanation:
You can look at the y-intercept to find the equation really quickly!
For example, the line crosses the y-axis at the value of 4, therefore, the y-intercept is 4.
The only option with a y-intercept of 4 is C
Which expression is equal to
(2+2)(1-4)/(3–4)(+4)
Answer:
48
Step-by-step explanation:
2 + 2 is 4, 1 - 4 is -3, 3 - 4 is -1 and +4 is 4 if you multiply these together, you will get 48.
a) by completing the square find in the form of the constant p the roots of the equation x^2+px+4=0
b) hence find the set of values of p for which the equation has no real roots
Answer:
a)
[tex]\displaystyle x=-\frac{1}{2}p\pm\sqrt{\frac{1}{4}p^2-4}[/tex]
b) p is in the interval (-4,4)
Step-by-step explanation:
Quadratic Equation
It's given the following quadratic equation:
[tex]x^2+px+4=0[/tex]
a)
It's required to complete squares and find the roots. This can be done by recalling the polynomial identity:
[tex]a^2+2ab+b^2=(a+b)^2[/tex]
We already have the first term squared, and we need to find the second term. Rewriting the equation:
[tex]\displaystyle x^2+2(\frac{1}{2}px)+4=0[/tex]
The second term of the binomial is 1/2p, thus completing the squares with [tex]b^2[/tex]:
[tex]\displaystyle x^2+2(\frac{1}{2}px)+\left(\frac{1}{2}p\right)^2+4-\left(\frac{1}{2}p\right)^2=0[/tex]
Factoring:
[tex]\displaystyle \left(x+\frac{1}{2}p\right)^2+4-\frac{1}{4}p^2=0[/tex]
Moving the independent term to the right side:
[tex]\displaystyle \left(x+\frac{1}{2}p\right)^2=\frac{1}{4}p^2-4[/tex]
Taking the square root:
[tex]\displaystyle x+\frac{1}{2}p=\pm\sqrt{\frac{1}{4}p^2-4}[/tex]
Solving for x:
[tex]\displaystyle x=-\frac{1}{2}p\pm\sqrt{\frac{1}{4}p^2-4}[/tex]
b) If the equation won't have real roots, then the radicand should be negative:
[tex]\displaystyle \frac{1}{4}p^2-4<0[/tex]
Factoring:
[tex]\displaystyle \left(\frac{1}{2}p-2\right)\left(\frac{1}{2}p+2\right)<0[/tex]
The zeros of the left-side polynomial are:
[tex]\displaystyle \frac{1}{2}p-2=0[/tex]
[tex]\displaystyle \frac{1}{2}p=2[/tex]
p = 4
[tex]\displaystyle \frac{1}{2}p+2=0[/tex]
[tex]\displaystyle \frac{1}{2}p=-2[/tex]
p = -4
The inequality:
[tex]\displaystyle \left(\frac{1}{2}p-2\right)\left(\frac{1}{2}p+2\right)<0[/tex]
Is satisfied for values of p in the interval (-4,4)
What is the slope of this graph? (1,6) A 2 3.0) B В
Answer:
-3
Step-by-step explanation:
pls mark as brainliest
For the function y =[tex]3x^{2}[/tex]– 2x + 5, what is the output if the input is 4?
A) 9
B) 21
C) 45
C) 51
ill give brainly to first correct answer
Answer:
C
Step-by-step explanation:
The input is the value of x. Substitute x = 4 into y for output
y = 3(4)² - 2(4) + 5 = 3(16) - 8 + 5 = 48 - 8 + 5 = 45
Thus the output is 45 → C
Factor the polynomials x^2 + 15x + 56
Final Answer: [tex](x + 7)(x + 8)[/tex]
Steps/Reasons/Explanation:
Question/Given: Factor the polynomials [tex]x^{2} + 15x + 56[/tex]
Step 1: Ask: Which two numbers add up to [tex]15[/tex] and multiply to [tex]56[/tex]?
[tex]7[/tex] and [tex]8[/tex]
Step 2: Rewrite the expression using Step 1.
[tex](x + 7)(x + 8)[/tex]
~I hope I helped you :)~
MATH QUESITON - PLEASE ANSWER ASAP
Please look at the picture below and give me answers to both the questions.
Answer:
16)
Bobby - 70
Hannah - 90 (Wins the round)
Carlos - 80
17)
Bobby - 7 (Wins the round)
Hannah - 3
Carlos - 5
Step-by-step explanation:
First we can make the variable n into each of the values they chose for the equations. Let's start with 16.
The equation is - (3+7) X (10 - n ÷2)
Now let's input the numbers 6 , 2, and 4 one at a time to figure out the answer.
USE PEMDAS!!!
16)
Bobby -
1. (3+7) X (10 - 6 ÷2)
2. 10 X (10 - 6 ÷ 2)
3. 10 X 7
4. Answer for Bobby - 70
Hannah -
1. (3+7) X (10 - 2 ÷2)
2. 10 X (10- 2 ÷2)
3. 10 X 9
4. Answer for Hannah - 90 (Wins the round)
Carlos -
1. (3+7) X (10 - 4 ÷2)
2. 10 X (10 - 4 ÷ 2)
3. 10 X 8
4. Answer for Carlos - 80
17)
Bobby -
1. (2 X 6 + 2) ÷ 2
2. (12 + 2) ÷ 2
3. 14 ÷ 2
4. Answer for Bobby - 7 (Wins the round)
Hannah -
1. (2 X 2 + 2) ÷ 2
2. (4+2) ÷ 2
3. 6 ÷ 2
4. Answer for Hannah - 3
Carlos -
1. (2 X 4 + 2) ÷ 2
2. (8+2) ÷ 2
3. 10 ÷ 2
4. Answer for Carlos - 5
Hope this Helps!!! :)
Let me know if I should change anything or if the answer was perfect!!!
Ryan and his brother, Russell, made photo frames for their grandma's birthday. They used shells they collected from the beach near her house. Ryan glued 9 white shells and 15 orange shells to the border of his frame. Russell glued 8 white shells and 10 orange shells to the border of his frame. Did the two frames have the same ratio of white shells to orange shells?
Answer: No. The two frames does not have the same ratio of white shells to orange shells.
Step-by-step explanation:
Ryan glued 9 white shells and 15 orange shells to the border of his frame. This will give us a fraction of:
9/15 = 3/5
The ratio is 3:5
Russell glued 8 white shells and 10 orange shells to the border of his frame. This will give us a fraction of:
= 8/10 = 4/5
The ratio will be 4:5.
Therefore, the two frames does not have the same ratio of white shells to orange shells.
simplify [tex]\sqrt{80} + \sqrt{2\frac{2}{9}[/tex]
Answer:
[tex]\displaystyle \frac{14}{3}\sqrt{5}[/tex]
Step-by-step explanation:
Simplify:
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}[/tex]
We must express the mixed fraction into an improper fraction:
[tex]2\frac{2}{9}=2+\frac{2}{9}=\frac{20}{9}[/tex]
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{80} + \sqrt{\frac{20}{9}}[/tex]
Since 80 = 16*5 and 20=4*5
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{16*5} + \sqrt{\frac{4*5}{9}}[/tex]
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle 4\sqrt{5} + \frac{2}{3}\sqrt{5}[/tex]
Adding the fractions:
[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle (4 + \frac{2}{3})\sqrt{5}[/tex]
[tex]\mathbf{\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \frac{14}{3}\sqrt{5}}[/tex]
Camilla baked 15 cookies with 3 scoops of flour. How many scoops of flour does Camilla need in order to bake 20 cookies? Solve using unit rates.
Answer:
camilla needs 4 scoops of flow because 3 is related to 15 bc "5x3=15" and that gives us to only need 1 more cup to get 20 cookies
what's the fromula for finding the perimeter of a triangle?
Answer:
Add up all the sides.
Step-by-step explanation:
Add up all the sides.
Add up all the sides of the triangle that is the perimeter.
Hope this helps plz hit the crown :D
Plz answer these 2 I’ll mark brainliest
Answer:
16. C
17. B
sorry if i got it wrong
Answer:
THE ANSWER
A
B
Step-by-step explanation:
MARK BRAINLIEST
⚠️HELP PLEASE ⚠️Two gears on a machine are aligned by a mark drawn from the center of one gear to the center of the other. If the first great has 24 teeth, and the second gear has 40 teeth, how many revolutions of the first gear are needed until the mark line up again?
Answer:
26
Step-by-step explanation:
Solve for W
8/10 = w/15
Answer:
12 because 12/15 =.8 so does 8/10
Answer:
w=12
Step-by-step explanation:
8/10 is equal to 4/5. 4/5 is equal to 12/15. Therefore, W represents 12.
Brainliest are always appreciated :)
33.For a car traveling at a constant speed, the distance driven, d
kilometers, is represented by d(t)=80t, where t is the time in hours. The
cost of gasoline, in dollars, for the drive is represented by C(d)=0.09d.
Evaluate C(d(10))
Given:
[tex]d(t)=80t[/tex]
[tex]C(d)=0.09d[/tex]
To find:
The value of [tex]C(d(10))[/tex].
Solution:
We have,
[tex]C(d(10))=C(80(10))[/tex] [tex][\because d(t)=80t][/tex]
[tex]C(d(10))=C(800)[/tex]
Now,
[tex]C(d(10))=0.09(800)[/tex] [tex][\because C(d)=0.09d][/tex]
[tex]C(d(10))=72[/tex]
Therefore, the value of [tex]C(d(10))[/tex] is 72.
Find the lateral area of this cone.
Round to the nearest tenth.
Hint: Lateral Area of a Cone = url
Where l = slant height
15in
12in
[?] in2
Answer:
565.5 in²
Step-by-step explanation:
Lateral area of a cone is represented by,
Lateral surface area = πrl
Here 'r' = Radius of the circular base
l = lateral height of the cone
By this formula,
Lateral area = π(12)(15)
= 565.49
≈ 565.5 square inch
Therefore, 565.5 in² is the answer.
Is 5+x equal to 8+0.75x
Answer:
1.2
Step-by-step explanation:
X×5=0.75
X=(6, 5)
x=1.2
Answer:
no
Step-by-step explanation:
5+x=8+0.75x
x=12
Expand and simplify
(7 + V 6 )^2
Give your answer in the form b+ c V 6
Answer:
55 + 14[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Given
(7 + [tex]\sqrt{6}[/tex] )² = (7 + [tex]\sqrt{6}[/tex] )(7 + [tex]\sqrt{6}[/tex] )
Each term in the second factor is multiplied by each term in the first factor, that is
7(7 + [tex]\sqrt{6}[/tex] ) + [tex]\sqrt{6}[/tex] (7 + [tex]\sqrt{6}[/tex] ) ← distribute both parenthesis
= 49 + 7[tex]\sqrt{6}[/tex] + 7[tex]\sqrt{6}[/tex] + 6 ← collect like terms
= 55 + 14[tex]\sqrt{6}[/tex]
b +cV 6 ÷12a
Step-by-step explanation:
let meknow 8i I am wrong
2. The angle of elevation of the top of a vertical
cliff, as seen from a boat 120 m away, is 32°.
The angle of elevation of the top of a flagpole
at the edge of the cliff, as seen from the boat,
is 37º. Find the height of the flagpole.
Answer: 15.44 m
Step-by-step explanation:
We can think this as two triangle rectangles.
In both cases, the adjacent cathetus is 120m.
When the angle is 32°, the opposite cathetus will be the height of the cliff.
When the angle is 37°, the opposite cathetus will be the heigth of the cliff plus the height of the flagpole.
Then we need to compute both of them and calculate the difference.
We can use the trigonometric relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
in this case we have:
Tan(32°) = (height of the cliff)/(120m)
Tan(32°)*120m = height of the cliff = 74.98m
Now we can use the other angle to compute:
Tan(37°) = (heigth of the cliff + heigth of the flagpole)/120m
Tan(37°)*120m = heigth of the cliff + heigth of the flagpole = 90.42m
Then the height of the flagpole will be:
H = 90.42m - 74.98m = 15.44 m
HELP ASAP!!! What is the slope of the line through (-1,-4) and (-6, -2)?
Answer:
2/-5
Step-by-step explanation:
(-2) - (-4) = 2
(-6) - (-1) = -5
Answer:
-2/5
Step-by-step explanation:
you have to do y2-y1 over x2-x1
then you plot in your points :
y2=-2
y1=-4
x1=-1
x2=-6
after you do that you need to subtract them and that's how you will get your answer.
For a dinner party, a catering company charges a set
fee of $150 plus $20 per person.
How much will it cost for 35 people to attend the event?
Justify your work
Answer:
$850
Step-by-step explanation:
35 x 20 = 700 + 150 = $850 or 850
$20 per person and 35 people = $700 + the $150 fee = $850
GO LOOK AT MY LAST QUESTION PLEASE!!
ITS VERY HARD!!!
wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink wink
the ratio of North American butterflies to South American butterflies that a butterfly Park is 8:4 the ratio of South American butterflies the European butterflies is 4:2 there are 64 in North American butterflies in a butterfly Park part 1 out of 2 how many South American butterflies are there?
Answer:
5x - North American Butterflies.
3x - South American Butterflies.
5x = 30 (Divide By 5).
x = 6.
3x = 18.
3x - South American Butterflies.
2x - European Butterflies.
2x = 2 * 6 = 12
There Are 12 European Butterflies And 18 South American Butterflies.
Step-by-step explanation:
write each percent as a fraction in simplest form
60%
Answer:
3/5
Step-by-step explanation:
ir would be 6/10 but simplified it would be 3/5
How many solutions does 46x– 23 = 46x + 23 have
Answer:
no solution
Step-by-step explanation:
Let's first try to solve this.
Notice that there is a 46x term on both sides, so we can subtract both sides by 46x, leaving us with:
-23 = 23
Well... this is a false statement: -23 does not equal 23.
Thus, this as no solution.
Answer:
No solutions found
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
46*x - 23 - (46*x + 23) = 0
Equations that are never true
Solve : -46 = 0
This equation has no solution.
A non-zero constant never equals zero.
Name the angle in (4) different ways.
Answer:
um in languages or different angles
Step-by-step explanation:
are all equilateral triangles acute?
Answer:
Yes, all equilateral triangles are acute.
Step-by-step explanation:
yea
hope this helps :)))
What is the area of a circle that has a circumference of12r?
I need it now