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Work Shown:
x = brother's age, which is some positive whole number
x-6 = sister's age, since she is 6 years younger than her brother
The product is the result of multiplication, so we multiply x and (x-6) to get 135
x*(x-6) = 135
x^2-6x = 135
x^2-6x-135 = 0
Use the quadratic formula to solve from here
We plug in a = 1, b = -6, c = -135
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-6)\pm\sqrt{(-6)^2-4(1)(-135)}}{2(1)}\\\\x = \frac{6\pm\sqrt{576}}{2}\\\\x = \frac{6\pm24}{2}\\\\x = \frac{6+24}{2}\ \text{ or } \ x = \frac{6-24}{2}\\\\x = \frac{30}{2}\ \text{ or } \ x = \frac{-18}{2}\\\\x = 15\ \text{ or } \ x = -9\\\\[/tex]
x represents the brother's age, in years. So x must be positive.
Since x must be positive, this means we rule out x = -9
The value x = 15 is the only practical solution.
If x = 15, then x-6 = 15-6 = 9
The brother is 15 years old and the sister is 9 years old.
The product of their ages is 15*9 = 135, which confirms the answers.
After simplifying, how many terms are there in the expression 2x - 5y+3+ x?
3
4
5
6
Answer:
3
Step-by-step explanation:
Adding 2x and x gets you 3x-5y+3. Counting each term gives you three seperate terms, meaning your answer is 3.
Answer:
answer is 3
Step-by-step explanation:
adding 2x and x gets you 3x-5y+3
por cada persona que tiene gripe,hay 6 personas que solamente tienen sintomas de gripe. si un medico ve a 40 pacientes, calcula aproximadamente cuántos pacientes esperas que tengan solamente sintomas de gripe.
What is the algebraic expression for y-4
My choices are
38
62
102
150
Answer:
B. [tex]x = 62[/tex]
Step-by-step explanation:
In order for m to be parallel to n, those two angles given have to be equal to each other according to the corresponding angles theorem converse.
[tex]3x-36=2x+26\\[/tex]
Same to both sides:
[tex]x = 62[/tex]
HELP- PLSS i beggggggg
Answer:d) 40 students
for the second one, it would be 26.
Step-by-step explanation:
Geometry plz someone help me out
Answer:
x = 7 times the square root of 3
y = 14
Step-by-step explanation:
Please help im so confused
Answer:
1/3
Step-by-step explanation:
There are 9 total outcomes, and 3 are favorable, or are two of the same color in a row. 3/9 simplifies to 1/3. Hope this helps!
what is 5/6 - 3/8 plz help
what does 1/2 x 2/3 equal
Answer:
9/2
Step-by-step explanation:
What is the simplified answer?
Answer:1 and 1/2
Step-by-step explanation:
73% of 148 grams is what?
Answer:
108.04 grams
Step-by-step explanation:
Answer: 108.04
Step-by-step explanation:
Solve the quadratic equation
X^2+3x-70=0
Answer:
X can either be 7, or -10. You can prove this by plugging in the numbers yourself :)
Step-by-step explanation:
Please mark as brainliest
In triangle ABC, one angle measures 68°, another measures 19°, what is the measure of the third angle? *
Answer:
93°
Step-by-step explanation:
In triangle ABC
one angle = 68°
Another angle = 19°
Let the third angle be X Then
x + 68° + 19° = 180° { being sum of angles of triangle }
x = 180° - 87°
x = 93°
The measure of the third Angle is 93°
Hope it will help :)
Solve
Four times the sum of 6 and some number is 32. What is the number?
Answer:
Thus, the value of x is 1.
Step-by-step explanation:
4(2x+6)=32
8x+24 =32
8x =32-24
8x =8
x =8÷8
x =1
Where would the shape be located after a rotation of 90 degrees clockwise about the origin?
Answer:
It should be the first quadrant
Hope that helps!
Given a right triangle ABC, if the measure of angle A is 77', and cos (77) = sin(0).
what is the value of 0 ?
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Rule:
If cos(A) = sin(B), then A+B = 90
This can be proven through the use of drawing a right triangle with acute angles A and B. Let's say C is the 90 degree angle.
Then note how cos(A) = adjacent/hypotenuse = AC/AB while sin(B) = opposite/hypotenuse = AC/AB. We see that both evaluate to AC/AB. So this confirms cos(A) = sin(B) is true.
The condition that A+B = 90 is from from the fact that any pair of acute angles of a right triangle are complementary angles.
-------------------------
Using that rule, we can say
cos(77) = sin(theta)
leads to
77+theta = 90
and that solves to
theta = 90-77 = 13
An angle measures 170°. Through what fraction of
a circle does the angle turn?
My answer: i need a graph
what is the value of X? (20 points)
Answer:
54.5
Step-by-step explanation:
[tex]x \degree = \frac{1}{2} (160 \degree - 51 \degree) \\ \\ x \degree = \frac{1}{2} \times 109 \degree \\ \\ x \degree = 54.5 \\ \\ x = 54.5 [/tex]
Which proportion would you use to solve the following problem?
A map has a scale of 1 cm : 5 km. Determine how far apart two cities are if they are 4 cm apart on the map.
ILL MARK BRAINLEST
Answer:
They are 20 km away from each other,
Step-by-step explanation:
1cm=5km so 4cm=20km
Answer:
20km
Step-by-step explanation:
its like 1st grade math?
also im posting so you can give the other dude brainliest
A teacher wants to create a graph of the students' scores on the final exam and see what the distribution looks like, looking for clusters and gaps in the scores. Which type of graph is the most appropriate?
A) Steam and Leaf
B) Circle Graph
C) Box and Whisker Plot
D) Line Graph
The most appropriate graph is the (d) line graphs
How to determine the appropriate graph?From the question, we understand that:
The distribution should include clustersThe distribution should include gapsClusters and gaps are easily identified in line graphs, more than the other graphs.
This is also known as the dot plot
Hence, the most appropriate graph is the (d) line graphs
Read more about graphs at:
https://brainly.com/question/24309209
#SPJ1
Daniel want to know the volume of his cube, he notices that the cube has 1/5 centimeters side length, what is the volume of the cube?
Answer:
1/125 cm^3
Step-by-step explanation:
Volume of a cube = L^3
L is the side length of the cube
Given
L = 1/5 cm
Volume of the cube = (1/5)^3
Volume of the cube = 1/125
Hence the volume of the cube is 1/125 cm^3
PROINTERENCIAS cuyos RADIOS HIDEN 115m
225m
SON TAN GENJES EXTERIOVENTE ENTRE
OGULOS QUE SE FORAN CUANDO SE UNEN
ros
DE DICHAS CIRCUNFERENCIAS
Answer: what does this say
Step-by-step explanation:
Harriet worked out five times last week Each day, she ran on the treadmill and then walked for 20 minutes. She ran on the treadmill for the same amount of time each day. If she worked out for a total of 265 minutes, how much time was spent on the treadmill running each day?
Answer: it’s 13.25
Step-by-step explanation:
What is 2 2/3 x 1 3/4
A. 2 1/2
B.32/21
C.15/7
D. 4 2/3
Solve
Answer:
D: 4 2/3
Step-by-step explanation:
First convert these mixed numbers into improper fractions:
8/3 x 7/4 =
(8x7)/(3x4)= 56/12.
Now simplify 56/12, which would be 14/3. Now convert this into a mixed number: 4 2/3.
What is 2 2/3 x 1 3/4 estimate: 2 ₓ 4 Or 8
5 / 2 ₓ 15/ 4 = 75/8
=9 3/8 Convert to mixed
number, divide 75 by 8.
In permutations, order matters.
A) True
B) False
C) Both
D) Unable to answer this question with the data given because permutations are always changing.
The perimeter of a rectangle is 180 cm. The length is 3 times more than the width. What
is the length of the rectangle
Answer:
67.5,
Step-by-step explanation:
22.5x3 =67.5, P=2(l+w)=2·(22.5+67.5)=180
y+2=1/5(x+1)
graph?
Answer:
x=5Y+9, Plot on graph 1/5x-9/5
Step-by-step explanation:
The x intercept is (9,0)
The Y intercept is (0,-9/5)
A rectangular room measures 10 feet by 12 feet. How much would it cost to carpet if the carpeting sells for $12 per square yard?
Answer:
$480
Step-by-step explanation:
10 times 12 is 120
So 120 ft in yards is 40 yards
40 times 12 is 480
HELPPPPPP MEEEE PLEASE AND THANK YOU ILL MARK YOU BRAINLIEST
Find the 12th term of the geometric sequence -2,4,-8..
Answer:
-16394
Step-by-step explanation:
Pattern rule : Start at -2 and multiply it by -2.
-2 x -2 = 4
4 x -2 = -8
-8 x -2 = 16
16 x -2 = -32
- 32 x -2 = 64...so on
