The missing number can be shown as the variable x.
6 + 10 - 2 = 11 + x
So, you need to figure out what x is by getting it by itself. First, combine everything on the left side of the equation.
16 - 2 = 11 + x
14 = 11 + x
Now, what you do to one side of an equation, you have to do to the other. Subtract 11 from both sides
14 - 11 = 11 - 11 + x Cancel out the 11s and solve the left side.
3 = x
There's your answer! Now you can check your work by trying the 3 in your original problem.
6 + 10 - 2 = 11 + 3
14 = 14
Your missing number is 3.
Identify and EXPLAIN the ERROR * Show CORRECT WORK and SOLUTION * What STRATEGY did you use for solving this problem *
The graph below represents the distance of a dog from a trainer after a command is given.
Which statement could describe the dog’s movement 5 seconds after the command was given?
The dog stopped to lie down and obey the trainer’s command.
The dog was running towards the trainer to receive a treat.
The dog was running away from the trainer to chase a squirrel.
The dog was stopped but began running towards the trainer.
Answer:
The dog was running towards the trainer to receive a treat
Step-by-step explanation:
At the point on the graph where Time is 5 (seconds), the slope of the distance vs time curve is negative, indicating the dog is moving toward the trainer. The motivation of the dog is unknown, so the above answer choice involves speculation that is not supported by the problem statement.
Answer:B.The dog was running towards the trainer to receive a treat.
Step-by-step explanation:cuz im right
the length of the hypotenuse of a right triangle is 13 m. The length of one leg in 5 cm. find the length of the other leg
PLEASE HELP AND FAST!
other leg = 12 cm
using Pythagoras' identity with x as the side to be found, then
x = √(13² - 5² ) = √(169 - 25 ) =√144 = 12
Find the quotient of 6/8 ÷ 3/-4
Answer:
1
Step-by-step explanation:
Your car needs fixing and you have two friends that offered to help. Abe can fix it for $70 per hour with a $130 part, but Gabe can fix it for $80 an hour with a $40 part. If Abe could find the part for only $60 instead of $130, how will this affect your decision?
In this case we do not know for how long have they worked. But lets assume that they both will fix the car in an hour.
Case 1: Lets talk about Abe first.
Abe will charge $70.00 per hour plus a part which costs $130.00.
Now, the total cost to be paid to Abe to fix the car is [tex]70+130=200[/tex] dollars.
So we will have to pay $200.00 to Abe to fix the car.
Case 2: Lets talk about Gabe now,
Gabe can fix it for $80 an hour and finds the part just for $60.
Now, the total cost to be paid to Gabe to fix the car is [tex]80+40=120[/tex] dollars.
So we will have to pay $120.00 to Gabe.
Considering the two cases above we can ask Gabe to fix our car but there is another case.
Case 3: What if Abe finds a part for $60.00 rather $130.00
In that case, we will have to pay [tex]70+60=130[/tex] dollars in total to Abe.
Now, we need to pay $130.00 to Abe to fix the car.
Still we can see that we need to pay $10.00 less to Gabe so will ask Gabe to fix the car (since [tex]130-120=10[/tex]).
I need help with finding X's value.
Please help it's geometry.
See attachment
The marks on the line segments tell you they are the same length, and that the triangle is an equilateral triangle. That tells you the angles are the same size, and all are 60°. This lets you find x and y.
(7x+4)° = 60°
7x = 56 . . . . . . . . divide by °, subtract 4
x = 8 . . . . . . . . . . divide by 7
_____
(8y+12)° = 60°
8y = 48 . . . . . . . . divide by °, subtract 12
y = 6 . . . . . . . . . . divide by 8
The equation of a line is 6x-2y=12. Find the x-intercept and the y-intercept.
Which expression is equivalent to the expression 2/3(3 - 1/3)(-1)?
(i'm doing a giveaway worth 25 points if you get the right.)
2/3 (5/3)(-1) = -10/9
Answer:
-7/9
Step-by-step explanation:
2/3(3 - 1/3)(-1) = (1-2/9)(-1) = -1+2/9 = -7/9
what is the sine value of 7pi/6
A. - sqrt 3 over 2
B. Sqrt 3 over 2
C. - 1/2
D. 1/2
Answer:
C. -1/2
Step-by-step explanation:
7π/6 radians is equivalent to (7π/6)(180°/π) = 210°, a 3rd-quadrant angle whose reference angle is 30°. The sine of angles in the 3rd quadrant is negative.
sin(30°) = 1/2
sin(210°) = -sin(30°) = -1/2
_____
In radians mode, your calculator can tell you this result directly.
C - [tex]\frac{1}{2}[/tex]
sin(7π / 6 )
note 7π\6 is in the third quadrant where sin is negative
the related acute angle to 7π/6 is 7π/6 - π = π/6
sin (7π/6) = - sin(π/6) = - [tex]\frac{1}{2}[/tex]
A line is drawn so that is passes through the points (-4,0) and (2,3) what is the slope of the line
-1/2
1/2
-2
2
you would use the form y2-y1/x2-x1 so in this case it would be 3-0/2+4 which would be 3/6 but simplify your answer and you get would be 1/2 so your answer is 1/2
slope = [tex]\frac{1}{2}[/tex]
to calculate the slope m use the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, 0 ) and (x₂, y₂ ) = (2, 3)
m = [tex]\frac{3-0}{2+4}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
From the statement select the related given statement.
In a triangle a segment joining the midpoints of two sides is one-half the length of the third side.
A.) Plane R is parallel to plane S; Plane T cuts planes R and S.
B.) △ABC with ∠1 = ∠2.
C.) Point B is between points A and C
D.) Line l; point P not on l.
E.) △ABC with midpoints M and N.
Answer:
E.) △ABC with midpoints M and N.
Step-by-step explanation:
You want a related given statement to the scenario "in a triangle a segment joining the midpoints of two sides is one-half the length of the third side."
ChoicesThe scenario describes a triangle ABC with midpoints designated on two of the sides. There is no "plane R", angles 1 and 2, line l, point P. In triangle ABC, point B will not be between A and C.
These considerations eliminate choices A–D, leaving choice E:
E.) △ABC with midpoints M and N
The physics scores of 200 students follow a normal distribution with a mean of 75 and a standard deviation of 7. Which conclusion is best supported by this information?
We can say that nearly all of the students got between a 54 and a 96, that 95% got between a 61 and an 89, and about two-thirds got between a 68 and an 82, but there may be other conclusions one may wish to draw.
what does 2 3/5 divided by 1 1/25 equal
Alright, so let's make 2 3/5 into an improper fraction.
2 x 5 = 10 + 3 = 13
So 13/5 / 11/25.
Keep, change, flip rule: 13/5 x 25/11.
Now you multiple the numerator and denominator from both fractions. (I'm not going to do the math for you. Hope this helped and sorry if my explanation is...yeah.)
The division of 2 3/5 by 1 1/25 is equal to 2.5.
To perform the division, convert the mixed numbers to improper fractions. 2 3/5 becomes 13/5, and 1 1/25 is 26/25. Now divide the fractions: (13/5) ÷ (26/25) = 13/5 * 25/26 = 325/130 = 2.5.
What is m∠DHG? Enter your answer in the box.
the 2 equations given are vertical angles which mean they would equal the same.
Set the two equations to equal each other to solve for x:
6(x-2) = 3x+30
Simplify the left side:
6x-12 = 3x+30
Add 12 to eac side:
6x = 3x+42
Subtract 3x from each side"
3x = 42
Divide both sides by 3:
X = 42/3
X = 14
Now you know X, replace x with 14 in the equation for DHG:
DHG = 6(x-2)
6(14-2)
Simplify:
6(12)
Multiply:
72
Angle DHG is 72 degrees.
what is the length of the missing side
Answer:
The answers are:
m = 9 and n = 15
Step-by-step explanation:
m/15 = n/25 = 12/20
m/15 = 12/20
m/15 = 3/5
5m = 45
m = 9
n/25 = 12/20
n/25 = 3/5
5n = 75
n = 15
m = 9 and n = 15
Find the length( l ) of the leg in the large right triangle using Pythagoras' identity
l = √(25² - 20²) = √225 = 15
the outer and inner right triangles are similar hence the ratios of corresponding sides are equal
[tex]\frac{25}{n}[/tex] = [tex]\frac{15}{m}[/tex] = [tex]\frac{20}{12}[/tex]
using [tex]\frac{25}{n}[/tex] = [tex]\frac{20}{12}[/tex] (cross-multiply )
20n = 300 ( divide both sides by 20 )
n = 15
using [tex]\frac{15}{m}[/tex] = [tex]\frac{20}{12}[/tex] ( cross-multiply )
20m = 180 ( divide both sides by 20 )
m = 9
Which represents a side length of a square that has an area of 450 square inches? 15 sqrt 2 in. 15 sqrt 3in. 112.5 in. 115.5 in.
15√2
area = s² = 450 ← s is length of side
to find s take the square root of both sides
s = [tex]\sqrt{450}[/tex] = [tex]\sqrt{2(9)(25)}[/tex]
= √2 × √9 × √25 = √2 × 3 × 5 = 15√2
15√2 represents a side length of a square that has an area of 450 square inches.
The answer is option A.
How to find the side length of a square?The area of any quadrilateral can be determined by multiplying the length of its base by its height.
area = s² = 450 ← s is length of side
to find s take the square root of both sides
s = √450 = √2(9)(25)
= √2 × √9 × √25 = √2 × 3 × 5 = 15√2
Since we know the shape here is square, we know that all sides are of equal length. From this, we can work backward by taking the square root of the area to find the length of one side.
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In the troposphere, one layer of the Earth's atmosphere, the temperature decreases with increasing altitude from approximately 17°C at Earth’s surface to –51°C at the boundary with the next layer. By how many degrees Celsius does the temperature change in the troposphere?
WILL GIVE BRAINLIEST AND 99 POINTS!!
Which relation is a function?
the diagram on the top left hand side is a function
For each value of x on the domain (x- axis ) there can only be one corresponding value of y in the range (y- axis)
Apart from the diagram on the top left side, the other 3 all fail this definition
I need some help with this!
(-x³ +3x +4) -(2x³ +7x² -9) = -x³ +3x +4 -2x³ -7x² +9 . . . . eliminate parentheses
= x³(-1-2) +x²(-7) +x(3) +(4+9)
= -3x³ -7x² +3x +13 . . . matches the second choice.
a. Is it possible for a shape to have both reflectional and rotational symmetry? If so, provide an example with a line of symmetry for reflectional rotation and the minimum degree of rotation for rotational symmetry. If not, explain why.
Yes. For example, the shape I will use is the circle.
No matter how you rotate the circle, it will always look the same. If you reflect the circle over any drawen line in which it passes through the middle, the two halves created would be congruent.
~Rise Above the Ordinary, Senpai
M is the midpoint of segment AB. A has the coordinates (-5,4) and M is at the origin. Find the coordinates of B
Using geometry:
Since M is the origin, point B is the mirror image of point A with respect to the origin. From the origin to point A, you go 5 units left and 4 units up. For the mirror image, start at the origin, and go 5 units right and 4 units down.
Answer: B(5, -4)
Using the midpoint formula:
[tex] x_m = \dfrac{x_1 + x_2}{2}~~~and~~~y_m = \dfrac{y_1 + y_2}{2} [/tex]
[tex] 0 = \dfrac{-5 + x_2}{2}~~~and~~~0 = \dfrac{4 + x_2}{2} [/tex]
[tex] 0 = -5 + x_2~~~and~~~0 = 4 + x_2 [/tex]
[tex] -x_2 = -5~~~and~~~-4 = x_2 [/tex]
[tex] x_2 = 5~~~and~~~x_2 = -4 [/tex]
Answer: B(5, -4)
As you can see, both methods give you the same answer.
What is the solution of sqrt2x+4=15
Answer:
x = 126
Step-by-step explanation:
Square both sides of the equation. (sqrt2x+4)^2 = 16^2
2x+4 = 256
Then you should solve for x. (First Subtract 4 from both sides; Then simplify; Next divide both sides by 2; Finally, simplify once more)
This should give you your answer. (x = 126)
Hope this helps! ^-^
Answer:
x = 72
Step-by-step explanation:
sqrt {2x} +4 = 16
sqrt {2x} = 12
2x = 12 ^ 2
x = 144/2
x = 72
If you wanted to write:
sqrt {2x + 4} = 16
2x + 4 = 16 ^ 2
2x + 4 = 256
2x = 252
x = 252/2
x = 126
Write an equation of the line passing through each of the following pairs of points. d (5, 0), (−3, 0)
What is the measure of ∠ A in this quadrilateral?
Answer:
30°
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360°. You have 3 angles given, so can find the fourth using that fact. (The double arcs on angles B and C mean those angles are congruent. Same symbols are used to mark same-size angles.)
... 360° = A + B + C + D
... 360° = A + 115° + 115° + 100°
... 360° -330° = A = 30°
6 divided by 603 is?
Note that both numbers are multiple of 3: you can simplify the ratio as follows
[tex] \dfrac{6}{603} = \dfrac{3\cdot 2}{3\cdot 201} = \dfrac{2}{201} [/tex]
The ratio can't be further simplified because 2 and 201 are coprime. So, the only thing you could do is write down the decimal expansion of the number.
For the record, its period is 33 digits long, and it is
[tex] 0.009950248756218905472636815920398 [/tex]
Answer:
0.00995025
Step-by-step explanation:
expand the expression 4(3/2x+5)
The class has 14 boys, 12 girls, and one teacher. What is the ratio boys to girls?
Final answer:
The ratio of boys to girls in the class is 14:12, which simplifies to 7:6.
Explanation:
The ratio of boys to girls in the class is determined by comparing the number of boys to the number of girls.
Given that there are 14 boys and 12 girls, the ratio of boys to girls is:
14 boys : 12 girls
This can be simplified by dividing both numbers by the greatest common divisor, which is 2 in this case.
Hence, the simplified ratio is:
7 boys : 6 girls
While riding her bike to the ocean and back home 7 7 times, Corinne timed herself at 52min 52min , 63min 63min , 66min 66min , 60min 60min , 51min 51min , 69min 69min , and 50min 50min . She had set a goal of averaging 59 59 minutes for her rides. How many minutes will she need to spend on her eighth ride to attain her goal?
this is a late assignment, help a girl out hah..
she would need to ride for 61 minutes
Raj tried to solve the system below.
9x-y=15
2x+8y=28
Raj’s Work
9x - y = 15 2x + 8y(15 + 9x) = 28 9(-46/37) - y = 15
-y = 15 - 9x 2x + 120 + 72x = 28 -414/37 - y = 15
y = -15 + 9x 74x + 120 = 28 y = 969/37
74x = -92
x = -46/37
What error did Raj make?
A) Rag forgot to multiply the value of x by 9 when solving for the value of y.
B) When Raj solved for the value of x, he subtracted 120 from both sides.
C) Raj forgot the negative when substituting –15 + 9x for y.
D) Raj found the value of –y instead of y.
Answer: Option C) Raj forgot the negative when substituting -15+9x for y.
Solution:
(1) 9x-y=15
(2) 2x+8y=28
Isolating y in the first equation. Subtracting 9x both sides of the equation:
(1) 9x-y-9x=15-9x
Subtracting:
(1) -y=15-9x
Multiplying both sides of the equation by -1:
(1) (-1)(-y)=(-1)(15-9x)
(1) y=-15+9x
Then Raj found the value of y. It's not option D.
Substitutng y by -15+9x in the second equation:
(2) 2x+8(-15+9x)=28
Then option C) is the answer: Raj forgot the negative when substituting -15+9x for y.
Eliminating the parentheses applying the distributive property in the multiplication:
(2) 2x-120+72x=28
Adding similar terms:
(2) 74x-120=28
Solving for x. Adding 120 both sides of the equation:
(2) 74x-120+120=28+120
Adding:
(2) 74x=148
Dividing both sides of the equation by 74:
(2) 74x/74=148/74
Dividing:
(2) x=2
Solving for y: Replacing x by 2 in the first equation:
(1) y=-15+9x
(1) y=-15+9(2)
Multiplying:
(1) y=-15+18
Subtracting:
(1) y=3
g(x) = 2x − 1 h(x) = 1 − g(x) The functions g and h are defined above. What is the value of h(0)?
Answer:
h(0) is equal to 2.
Step-by-step explanation:
In order to find this, we first put 0 in for x in the g(x) equation.
g(x) = 2x - 1
g(0) = 2(0) - 1
g(0) = -1
Now that we have this, we can stick the answer for g(x) into the f(x) equation.
f(x) = 1 - g(x)
f(x) = 1 - -1
f(x) = 1 + 1
f(x) = 2
The value of [tex]h(0)[/tex] is 2.
It is given that,
[tex]g(x)=2x-1[/tex][tex]h(x)=1-g(x)[/tex]Explanation:
We have,
[tex]h(x)=1-g(x)[/tex]
[tex]h(x)=1-(2x-1)[/tex]
[tex]h(x)=1-2x+1[/tex]
[tex]h(x)=2-2x[/tex]
Substitute [tex]x=0[/tex] in the above function.
[tex]h(0)=2-2(0)[/tex]
[tex]h(0)=2-0[/tex]
[tex]h(0)=2[/tex]
Thus, the value of [tex]h(0)[/tex] is 2.
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