Answer:
9
Step-by-step explanation:
6x + 2y = 30
9x - 4y = 3
if we double the first equation and add up to second one, we cancel 4y:
12x+9x=60+3 ⇒ 21x=63 ⇒ x=3now we can find y:
6*3+2y=30 ⇒ 2y= 30- 18 ⇒ 2y= 12 ⇒ y=6finally, x+y
x+y= 3+6= 9What is 7/8 + 1/2 as a fraction
Answer:
11/8 is the answer as a fraction
The fraction value of 7/8+1/2 is 11/8
What is fraction ?
Fraction is a numerical value which has two parts. The bottom part is called denominator which indicates the no. of parts in which the whole is divided. And the top part is called numerator which indicates how many parts of the fraction are selected.
Example : 2/3 , where 2 is the numerator and 3 is the denominator.
What is the required fraction ?The given sum is, [tex]\frac{7}{8}+\frac{1}{2}[/tex]
Taking LCM of 8 & 2, which is 8,
= [tex]\frac{(7*1)+(1*4)}{8}[/tex]
= [tex]\frac{7+4}{8}[/tex]
= [tex]\frac{11}{8}[/tex]
∴ The required fraction is [tex]\frac{11}{8}[/tex]
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Carlos drew a triangle and measured two of the sides to be 8 inches and 12 inches. What has to be true of the third side?
A.
It is equal to 4 inches.
B.
It measures less than 4 inches.
C.
It measures more than 4 inches.
D.
It is 2.5 inches.
Answer:
C
Step-by-step explanation:
The triangular inequality states that a+b>c, b+c>a, a+c>b. So, 4+8=12, so a is not possible. Neither is b. D is not true either. It has to be c.
Please mark as Brainliest! :)
Have a nice day.
The third side of the triangle measures more than 4 inches.
What are the properties of triangle for it's side?The sum of the length of the two sides of a triangle is greater than the length of the third side. The difference between the two sides of a triangle is less than the length of the third side.
According to the given question we have,
Length of the two sides of a triangle are 8 inches and 12 inches.
Let the length of the third side be x inches.
Now, according to the properties of a triangle
"The difference between the two sides of a triangle is less than the length of the third side".
Therefore,
12 - 8 < x
⇒ 4 < x
⇒ The third side of the triangle is greater than 4 inches.
Hence, the third side of the triangle measures more than 4 inches.
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help willl give brainliest
Answer: 2/9
Step-by-step explanation:
The probability of landing on blue and green in any order is 2/9 because we have two probable colors and nine total possibilities.
What Is The Value Of X In The Following Equation? 3x-4(x+1)+11=0
A. 8
B. 7
C. 15
D. 22
Answer:
B) 7
Step-by-step explanation:
Subtract 11 by both sides
3x - 4(x + 1) + 11 - 11 = 0 - 11
Simplify
3x - 4(x + 1) = -11
Distribute 4
3x - 4x - 4 = -11
Add 4 to both sides and combine like terms
-x - 4 + 4 = -11 + 4
-x = -7
Divide both sides by -1
x = 7
If two lines are crossed by a transversal and corresponding angles are equal, the lines are___.
parallel
perpendicular
similar
congruent
Answer:
parallel
Step-by-step explanation:
Corresponding angles are those which are in the same relative place between the cross-line and the parallel axes. You will see that the (corresponding) angles are identical if and only if the lines are parallel.
hope this helped!
This composite figure is made of two identical pyramids
attached at their bases. Each pyramid has a height of 2
units.
Which expression represents the volume, in cubic units, of
the composite figure?
(16200.25)2))
1530.2574)
• 2{}(5)10.25)2))
21315360.2574)
0.25
O
Answer:
C. 2
Step-by-step explanation:
hope it answers your question ! if not lmk
1a Find the greatest common factor ( GCF ) of 6 and 9
1b Use the greatest common factor ( GCF ) you found in 1a
to simplify the expression 6b - 9k
Answer:
the GCF is 3 so 2b - 3k
Step-by-step explanation:
Answer:
1a) the GCF of 6 and 9 is 3.
1b) -9
Step-by-step explanation:
1a) The greatest commons factor is the greatest number that divides two numbers. 3 is the largest number that goes into both 9 and 6 evenly. Therefore, 3 is the GCF.
1b) 6*3=18 and 9*3=27
18-27=-9
Which graph corresponds to y=1/2|x+2/3|+7
Answer:
Graph the absolute value using the vertex and a few selected points.
x y
-2 7.67
-1 7.17
0 [x+2 over 3] + 14
2
1 7.83
2 8.33
hopes this helps :)
If f(x)= 3x² – 2, find (-3)*f(x)
Answer:
-9x^2 +6
Step-by-step explanation:
f(x)= 3x² – 2
-3 f(x) = -3 * (3x² – 2)
Distribute
= -9x^2 +6
Identify each x-value at which the slope of the tangent line to the function f(x) = 0.2x2 + 5x − 12 belongs to the interval (-1, 1).
Answer:
slope of the tangent
[tex]\frac{d y}{d x} = 0.2(2 x) + 5 (1)[/tex]
The slope of the tangent to the interval (-1 ,1)
m = 4.6 ,5, 5.4
Step-by-step explanation:
Step(i):-
Given function is f(x) = 0.2 x² + 5 x − 12
Slope of the tangent formula
[tex]m = \frac{d y}{d x}[/tex]
Let y = f(x) = 0.2 x² + 5 x − 12 ...(i)
Differentiating equation(i) with respective to 'x' , we get
[tex]\frac{d y}{d x} = 0.2(2 x) + 5 (1) -0[/tex]
let x=-1
[tex]m = \frac{dy}{dx} = 0.2 (2 X -1) +5 = 4.6[/tex]
let x=0
m = 5
let x=1
[tex]m = \frac{dy}{dx} = 0.2 (2 X 1) +5 = 5.4[/tex]
conclusion:-
slope of the tangent
[tex]\frac{d y}{d x} = 0.2(2 x) + 5 (1)[/tex]
The slope of the tangent to the interval (-1 ,1)
m = 4.6 , 5, 5.4
The x-values at which the slope of the tangent line to the function f(x) belongs to the interval (-1, 1) are x ∈ (-15, -10).
What is the function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
To find the x-values at which the slope of the tangent line to the function f(x) = 0.2x² + 5x − 12 belongs to the interval (-1, 1), we need to find the x-values at which the derivative of the function f(x) has a value within that interval.
The derivative of f(x) is given by f'(x) = 0.4x + 5. Therefore, we can find the x-values at which f'(x) belongs to the interval (-1, 1) by solving the inequality 0.4x + 5 ∈ (-1, 1).
To solve this inequality, we can rewrite it as follows:
-1 < 0.4x + 5 < 1
-1 - 5 < 0.4x < 1 - 5
-6 < 0.4x < -4
Dividing both sides of the inequality by 0.4, we get:
-15 < x < -10
Therefore, the x-values for which the slope of the tangent line to the function f(x) lies x ∈ (-15, -10).
Learn more about the function here:
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The equation sin(25) = 9/C
can be used to find the length of
АВ what is the length of AB round to the nearest tenth
Answer:
21.3Step-by-step explanation:
The equation sin(25) = 9/C can be used to find the length of АВ means
C sin the length of side AB:
sin(25) = 9/C ⇒ C = 9÷sin(25) = 21.295814248372
→ C rounded to the nearest tenth is 21.3
10) Can a triangle have two 90° angles?
Answer:
no
Step-by-step explanation:
a triangle can only have one right angle or it wouldn't be a triangle
Answer: No
Step-by-step explanation:
Only Quadrilaterals have 2 or more 90° Because 90° means an angle which looks like L and it is impossible for triangle to have 2 90°
The track team has a goal of running at least 21 miles per week during practice. The team meets for practice 4 days a week. Write and solve an inequality to show how many miles per practice they must run. Graph the solution. Please answer!
Answer:
5.25 miles per practice
Step-by-step explanation:
you have to divide 21 by 4 and you 5.25 you can also use a calculator to solve this problem out
BRAINLIEST round to one decimal place
Answer:
6 or 5.8 without rounding
Step-by-step explanation:
The other side of the triangle is 5.8 and they are the same length so Ab would be the same length as AC.
5.8 rounded is ^ because 8 is above the number 5 and not below the number 4 so you round up and doesnt stay the same
Hope this helps :3
Answer:
The answer is 5.4
Step-by-step explanation:
if you divide 5.8 by 3 you would get 1.9333 then you would multiply that by 2.8 to get 5.41
Solve for x: 3.2x - 7.4 = -7.8x + 3.6
1.
1
2.
0.8
3
3.8
4.
0.5
Answer:
The value of x is 1.
Step-by-step explanation:
You have to move all the x-terms to one side and the unrelated values to other side :
[tex]3.2x - 7.4 = - 7.8x + 3.6[/tex]
[tex]3.2x + 7.8x = 3.6 + 7.4[/tex]
Next, you have to add up :
[tex]11x = 11[/tex]
Lastly, you have to divide it by 11 :
[tex]x = 11 \div 11[/tex]
[tex]x = 1[/tex]
In 2002, the Centers for Disease Control and Prevention (CDC) reported that 8% of women married for the first time by their 18th birthday, 25% married by their 20th birthday, and 76% married by their 30th birthday. Based on these data, what is the probability that in a family with two daughters, the first and second daughter will be married by the following ages? (Enter your answers to four decimal places.
Question:
In 2002, the Centers for Disease Control and Prevention (CDC) reported that 8% of women married for the first time by their 18th birthday, 25% married by their 20th birthday, and 76% married by their 30th birthday. Based on these data, what is the probability that in a family with two daughters, the first and second daughter will be married by the following ages? (Enter your answers to four decimal places.) (a) 18 years of age (b) 20 years of age (c) 30 years of age
Answer:
A.) 0.0064
B.) 0.0625
C.) 0.5776
Step-by-step explanation:
Given the following :
Married by 18th birthday = 8% = 0.08
Married by 20th birthday = 25% = 0.25
Married by 30th birthday = 76% = 0.76
In a family with two(2) daughters :
P(First daughter will be married by 18) = 0.08
P(second daughter will be married by 18) = 0.08
P(1st and 2nd married by 18) = (0.08×0.08) = 0.0064
B.)
P(First daughter will be married by 20) = 0.25
P(second daughter will be married by 20) = 0.25
P(1st and 2nd married by 20) = (0.25×0.25) = 0.0625
C.)
P(First daughter will be married by 30) = 0.76
P(second daughter will be married by 30) = 0.76
P(1st and 2nd married by 30) = (0.76×0.76) = 0.5776
If x^2= 12x – 7 is solved by completing the square, one of the steps in the process is
Answer:
Just pick one step below I guess...
Step-by-step explanation:
I'll just solve it because I don't know which step you're looking for.
Move everything except for the 7 to one side:
[tex]x^2-12x=-7[/tex]
Now take the square of half of the coefficient for the x and add it to both sides.
[tex]x^2-12x+36=29[/tex]
You can see that the side can now be factored.
[tex](x-6)^2=29[/tex]
[tex]x-6=\sqrt{29}[/tex]
[tex]x=\sqrt{29}-6, x=-\sqrt{29} -6[/tex]
The solutions to the quadratic equation are:
[tex]x=6 -\sqrt{29}[/tex] or [tex]x=6 +\sqrt{29}[/tex]
The given equation is:
[tex]x^2=12x-7[/tex]
The equation can be re-written as:
[tex]x^2 - 12x = -7[/tex]
Add [tex]6^2[/tex] to both sides of the equation
[tex]x^2-12x+6^2=-7+6^2\\\\x^2-12x+6^2=-7+36\\\\[/tex]
The expression can be further simplified as:
[tex](x-6)^2=29[/tex]
Take the square root of both sides
[tex]x-6=\pm\sqrt{29} \\\\x=6 \pm\sqrt{29}[/tex]
The solutions to the quadratic equation are:
[tex]x=6 -\sqrt{29}[/tex] or [tex]x=6 +\sqrt{29}[/tex]
Learn more on completing the square here: https://brainly.com/question/10449635
Given the following diagram, find the required measure.
Given: /llm
m 1 = 140°
m 3 = 50°
21
m 5 =
40
90
50
140
Answer:
∠ 5 = 40°
Step-by-step explanation:
∠ 1 and ∠ 2 are adjacent angles and supplementary, thus
∠ 2 = 180° - ∠ 1 = 180° - 140° = 40°
∠ 5 and ∠ 2 are alternate angles and congruent , thus
∠ 5 = 40°
14) The ions Sr2+and PO43- form a salt with the formula
A) Sr2(PO4)2
O B) Sr(PO4)2
C) SrP04
D) Sr2P04
E) Sr3(PO4)2
Answer:
E
Step-by-step explanation:
Sr2+ po43- exchange the charges and write the salt
the answer is not b
Answer: A
Hope it's help
The length of a rectangle is twice it width. The perimeter of the rectangle is 36cm. Calculate the area of the circle.
Answer:
72cm^2
Step-By-Step Explanation
36=2(y+2y)
36=2(3y)
36=6y
y=6cm
Width of rectangle= 6cm
Length of rectangle= 2y=2×6 = 12
Area of rectangle= L×W = 12×6 =72cm^2
If LP = 15 and PR = 9, find LR. Explain.
Answer:
24
Step-by-step explanation:
LP = 15 on one side
LR= 9 on the other side
____________________|____________|
P L R
add them and PR is 24
15+9= 24
Find the measure of ∠COB in the figure. answers: A) 24° B) 48° C) 72° D) 132°
Answer: 48
Step-by-step explanation: COB and DOA are vertical angles. This means the two of them have the same measure. Because we know the measuremen of DOA, we can easily find the measuremen for COB since these angles are the same, so COB is 48 degrees.
Answer:
B
Step-by-step explanation:
Aby likes larger apple slices. She gets 6 slices from each apple. Complete the table that represents the proportional relationship.
Answer:
A=0 B=6 C=12
Step-by-step explanation:
If she gets 6 slices from each apple, then for A(which is 0 apples) you would get 0 slices. For B (which is 1 apple.) you would get 6 slices and for C (which is two apples) you would get 12 slices. I hope this helps!
Answer:
a=0
b=6
c=12
Step-by-step explanation:
4:24 is one of the ratios
lets use that as an example
divide both sides by 4 and you get
1:6
now lets use 3:18
divide both sides by 3 and you get
1:6
Now if you have 0 apples you have 0 slices
if you have one apple you get 6 slices...
because of the ratio 1:6 one apple=6 slices
now if you have 2 apples you have to times 1:6 by 2 which gives us 2:12 meaning you get 12 slices
Find the value of y.
m∠1 = 2y + 8
Answer:
HERE IS YOUR ANSWER.
HOPE IT HELPS.
1/5X-3=4 solve the equation
Answer:
x=35
Step-by-step explanation:
Add 3 to both sides
x/5 = 7
Multiply by 5
x=35
Answer:
x = 25/3 = 8.333 I got that
Step-by-step explanation:
a piano teacher has 4 1/2 hours available to teach in a night. each lesson will last 1 1/2 hours. how many lessons can the teacher schedule in a night?
Answer:
1 1/2+1 1/2=3+1 1/2= 4 1/2
3 clases in 1 night
Answer:She can do 3 lessons in one night
Step by step explanation:1 1/2+1 1/2=3+1 1/2= 4 1/2 just some simple additio,
Carley’s progress from a 5-kilometer race is displayed in the graph below.
Based on the graph, if Carley runs in a 4-kilometer race and she maintains the same pace, how many minutes will it take her to run 4 kilometers?
50 minutes
45 minutes
35 minutes
20 minutes
Answer:
35 minutes
Step-by-step explanation:
Helppppppppp please on this
Answer:
23 square units
Step-by-step explanation:
I just counted them because the area is the inside or the shaded region but your supposed to find the x and y values of each box multiply them and add them all up to get the answer
Answer:
The area is 23
Step-by-step explanation:
I just counted I didn't know what else to do.
The perimeter of a triangle is 195 cm. The ratio of the measures of the sides is 3:5:7.
Find the measure of each side.
Shortest side?
Median side?
Longest side?
Answer:
Shortest side = 39
Median side = 65
Longest side = 91
Step-by-step explanation:
So here we have 3:5:7
And we keep adding on to it.
