Answer:
57/5
Step-by-step explanation:
what is that supposed to be ?
1.5 + 9.9 ?
I base my answer in that assumption.
1.5 = 3/2
9.9 = 99/10
so, we need 3/2 + 99/10.
how do we do that ?
by bringing both fractions to the same denominator (bottom parts) but without changing the value of the fractions. that means we need to multiply numerator and denominator (top and bottom parts) by the same factor. and that factor is determined by what is needed to transform the denominator.
we have denominators 2 and 10. what is the smallest common multiple ?
I think it is plainly visible : 10. as 2 also cleanly divides 10.
in other examples, if you don't see that right away, the simplest approach is to just multiply both denominators (in our case 2×10 = 20) and work with that result.
so, we are trying to bring both fractions to denominators of 10 (or, as mentioned 20), so that we can easily add the fractions.
let's start with 3/2.
what multiplication do we need to do to turn 2 into 10 ?
right, by multiplying by 5.
remember, we need to do the same thing to numerator and denominator to keep the value of the fraction unchanged.
so, we do the following
3/2 × 5/5
as you can see, multiplying something by 5/5 does not change any value, as it means we are just multiply by 1. but we can use that little trick to change the appearance of the original fraction.
so,
3/2 × 5/5 = (3×5) / (2×5) = 15/10
by the way, if we had wanted to change the denominator to 20, our factor would have been 10/10, and we would have gotten 30/20.
now to 99/10.
well, the denominator is already 10, so we don't need any transformation.
but if we had not seen that and went for 20 as desired denominator, we would have had to multiply by 2/2 giving us
198/20.
so, for the final sum :
15/10 + 99/10 = 114/10 = 57/5
and in case of 1/20th :
30/20 + 198/20 = 228/20 = 114/10 = 57/5
now, should that original problem have been
1/5 + 9/9 ?
the same principles apply.
bring both fractions to the same denominator.
9/9 = 1
and that can be transformed easily into any other denominator expression - like 5/5.
and then we have
1/5 + 5/5 = 6/5
but if we had not seen that simple approach, we could have turned both into fractions with denominator 5×9 = 45.
9/45 + 45/45 = 54/45 = 6/5
Find the solution set of the inequality
Answer:
x [tex]\geq -10\\[/tex]
Step-by-step explanation:
x[tex]x\geq -10[/tex]
Ellie wants to double her savings
of $5000 by investing her money
for 20 years.
What interest rate does
she need to look for?
Give your answer to 1 d.p.
Answer:
She will get more money than what she will get in the question
trigonometric identities help
Answer:
5/13
Step-by-step explanation:
Sin = 12/13
cos= 5/13
Tan= 12/5
answer
answer
answer
answer
Please..
Answer:
It's true. We can write integers in fraction by giving it a denominator of 1.
Answer:
true
Step-by-step explanation:
If there are:
6 red marbles
10 yellow marbles
5 green marbles
and 1 blue marble
What is the probability of picking 1 blue marble and 1 green marble?
(Once a marble is chosen it is NOT put back into the box).
(Write your answer in the form of a decimal, round to 2 places).
Answer:
0.02
Step-by-step explanation:
either picking a green then blue;
5/22 x 1/21= 5/462
or picking a blue then green;
1/22 x 5/21= 5/462
total is 10/462 which is approximately 0.02
since there was no specific order in the question i assumed you add them both.
If you buy 12 pounds of lettuce for $96 what is the rate which one pound of lettuce costs
Answer:
$8
Step-by-step explanation:
$96 divided by 12
How did you solve 43? I need explanation I’ll give brainliest
Answer:
Its 6
Step-by-step explanation:
Answer:
C. 4
Step-by-step explanation:
There are a total of 24 marbles. If you take out 8 of them, that leaves you with 16 marbles left. After doing that, if the chances of withdrawing a white marble are now 1/4, then there would have to be 4.
4/16 = 1/4
What conic section is formed when a plane intersects both nappes of a double-napped cone?
Answer:
When a plane intersects both nappes of a double-napped cone but does not go through the vertex of the cone, the conic section that is formed by the intersection is a curve known as hyperbola. Therefore, the answer is: Hyperbola
Calculator
ZC and ZD are vertical angles with MZC = –2x + 90 and MZD = x – 30.
What is mZD
Enter your answer in the box.
Answer:
10
Step-by-step explanation:
Vertical angles are equal to each other
-2x + 90 = x - 30
90 + 30 = x + 2x add like terms
120 = 3x divide both sides by 3
40 = x
angle <ZD is x - 30 so the answer is 10
Write the equation of the line that is parallel to the line y=-1/4x - 3 through the point (4,4).
Answer:
D
Step-by-step explanation:
The slope of the line is - 1/4. The equation of the line is y=(-1/4x)+5
If f(x) = 6/x-1
for what value of x does f(x) = 5 ?
Answer:
11/5
Step-by-step explanation:
f(x) = 6/x-1
f(x) = 5
6/x-1 = 5
=> 6 = 5(x-1)
=> 6 = 5x - 5
=> 11 = 5x
=> 5x = 11
=> x = 11/5
HELP ASAP ILL GIVE BRAINLIST
The probability of a red candy being selected from a bowl is 0.9, and the probability of a pink frosted animal cookie being taken out of a different bowl is 0.4. What is the probability of getting both a red candy and a pink cookie?
Answer:
0.36
Step-by-step explanation:
To find the probability, just multiply.
probability of red candy * probability of pink cookie
0.9*0.4=0.36
I hope this helps!
What is the area of the rectangle ABCD? Help
if f(x)= 3x + 10x and g(x)=5x - 3 find (f+g)(x)
Answer:
18x-3
Step-by-step explanation:
f(x)= 3x + 10x
g(x)=5x - 3
f(x)+g(x) = 3x + 10x + 5x - 3
Combine like terms
= 18x -3
Answer:
3^x+15x-3
Step-by-step explanation:
this is the right answer i just did it
\
The card you pick from a normal pack is from a red suit
Answer:
1/2
Step-by-step explanation:
Total number of cards in a normal pack = 52
Red cards in a pack = 26
Probability of getting a red card = 26/52
or 1/2 (simplest form)
help pleaseeeeeeeeee
Answer:
Hello,
Answer D
Step-by-step explanation:
I suppose that i is the imaginary (i²=-1)
i^4=1
i^99=i^(4*24+3)=i^3
i^3-i^3=0
Answer D
Answer: D) 0
======================================================
Explanation:
Take note of this pattern
i^0 = 1i^1 = ii^2 = -1i^3 = -ii^4 = 1After this point, we repeat the cycle. The cycle is 4 units long. This means we can divide the exponent over 4 and look at the remainder
99/4 = 24 remainder 3
So i^99 = i^3
which means i^99 - i^3 = i^3 - i^3 = 0
Lauren wants to know how many students in her school plan to see the new science fiction movie opening this weekend. She surveyed every Fitch student as they left the school on Friday.
Population:_____________
Sample:__________________
Is this sample reprsentive? Explain.
______________________________
Helppp plssss help meeee
Answer:
C. $1,260
Step-by-step explanation:
80 × 14.5 = 1,160
2,500 × 0.04 = 100
Answer:
C. $1260
Step-by-step explanation:
given the circle, find the arc measure
Two linear functions are described below.
Function f(x) has the equation f(x)=3x−4.
Function g(x) has the table of values shown below.
x g(x)
0 4
3 5
6 6
9 7
Which statement is true regarding the functions f(x) and g(x)?
A
The slopes of the two functions are the same.
B
The slopes of the two functions are opposites.
C
The y-intercepts of the two functions are the same.
D
The y-intercepts of the two functions are opposites.
Answer:
D
The y-intercepts of the two functions are opposites.
Step-by-step explanation:
f(x) = 3x-4 which has a slope of 3 and a y intercept of -4
g(x)
m = (5-4)/(3-0) = 1/3
g(x) = 1/3 x +4
g(x) has a slope of 1/3 and a y intercept of 4
Triple a number is 18.
hi
so 3X = 18
X = 18/3 = 6
if a+1/a=3
What is the answer? a⁵+1/a⁵
Answer:
123
Step-by-step explanation:
We can square and cube the equation, then multiply the results together.
(a + [tex]\frac{1}{a}[/tex]) = 3 ← square both sides
a² + 2 + [tex]\frac{1}{a^2}[/tex] = 9 ( subtract 2 from both sides )
a² + [tex]\frac{1}{a^2}[/tex] = 7 → (1)
-----------------------
Now cube both sides
a³ + [tex]\frac{1}{a^3}[/tex] + 3(a + [tex]\frac{1}{a}[/tex]) = 27
a³ + [tex]\frac{1}{a^3}[/tex] + 3(3) = 27
a³ + [tex]\frac{1}{a^3}[/tex] + 9 = 27 ( subtract 9 from both sides )
a³ + [tex]\frac{1}{a^3}[/tex] = 18 → (2)
------------------------------
Multiply (1) and (2)
(a² + [tex]\frac{1}{a^2}[/tex] )(a³ + [tex]\frac{1}{a^3}[/tex] ) = 7(18)
[tex]a^{5}[/tex] + ( [tex]\frac{1}{a}[/tex] + a) + [tex]\frac{1}{a^5}[/tex] = 126
[tex]a^{5}[/tex] + 3 + [tex]\frac{1}{a^5}[/tex] = 126 ( subtract 3 from both sides )
[tex]a^{5}[/tex] + [tex]\frac{1}{a^5}[/tex] = 123
Part E how do I solve
Answer:
the triangles are congruent by SSS criterion
Step-by-step explanation:
How to solve this question pls help asap
Answer:
answered by g a u t h m a t h
Step-by-step explanation:
9 in
16 in
13 in
Drawing not to scale
a 38 in 2
b. 117 in 2
C. 468 in2
d. 58.5 in.?
D.
area of triangle = 1/2 × base × height
therefore,
1/2× 9× 13= 58.5in^2
The area of the triangle with a base of 9 inches and height of 13 inches is 58.5in^2
We have given that,9 in,16 in, and 13 in
Drawing not to scale
We have given that the triangle
What is the formula for the area of the triangle?
area of triangle = 1/2 × base × height
therefore,
Use the given value in the formula so we get
[tex]1/2\times 9 \times 13= 58.5in^2[/tex]
Therefore the area of the triangle is 58.5in^2.
To learn more about the triangle visit:
https://brainly.com/question/17335144
#SPJ2
write the equation for each word sentence and solve 2 problems.
problem one : 12 more than a number is 20
problem two: The sum of a number and eight equals the sum of four times the number and six.
Answer:
1. 12 + x = 20 2. x + 8 = 4x + 6
Step-by-step explanation:
problem 1 :
12 + x = 20
problem 2:
x + 8 = 4x + 6
35. What is the point-slope form of the
equation for the line with a slope of
-2 that passes through (1,4)?
A. y + 1 = -2(x + 4)
B. y - 1 = -2(x - 4)
C. y + 4 = -2(x + 1)
D. y - 4 = -2(x - 1)
Answer:
D) y - 4 = -2 ( x - 1 )
Step-by-step explanation:
Point-slope form is y - y₁ = m ( x - x₁ )
so you just plug in your points, hope this helped
Each employee in a company is either right-handed or left-handed.
32 of the 54 employees are female.
18 of the 41 right-handed employees are male.
Complete the frequency tree for this information.
right-handed
female
left-handed
54
000
right-handed
male
left-handed
Total marks: 3
Answer:
32 female - 23 right-handed || 9 left-handed
22 male - 18 right handed || 4 left handed
Step-by-step explanation:
I find it easiest to write all the information out and fill the gaps.
From what we're given, 32 employees are female, that means 22 are male, as 54 - 32 = 22.
We are also given that there are 41 right-handed employees, which means there is 13 left-handed employees by subtraction.
If 18 of the right-handed employees are male, then 23 of them are female, and 4 are left-handed males.
If 23 of the female employees are right-handed, then 9 female employees are left-handed.
It's quite simple if you write everything out :D
if |x + 2| + 3 = 9, then x =
4 or –8
4
6 or –4
5 or –3
Solve for x.
6(4x+2)= 3(8x+4)
