if im not mastaken the answer is -48
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
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 equation of a line is 6x-2y=12. Find the x-intercept and the y-intercept.
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.
X+5/x^2+x-12
What are the restrictions for x
x ≠ - 4, 3
the denominator of the fraction cannot equal zero as this would make the fraction undefined. Equating the denominator to zero and solving gives the values that x cannot be
solve x² + x - 12 = 0
(x + 4)(x - 3) = 0
equate each factor to zero abd solve for x
x + 4 = 0 ⇒ x = - 4
x - 3 = 0 ⇒ x = 3
restrictions on x are : x ≠ - 4, 3
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 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]
Multiply and simplify: 10x(6x2 + 7x + 9) 60x3 + 160x 60x3 + 70x2 + 90x 60x2 + 70x + 90 6x2 + 17x + 9
Multiply each term in the parentheses by 10x. (This is the Distributive Law).:-
10x*6x^2 +10x*7x + 10x*9
= 60x^3 + 70x^2 + 90x
12600 x to the power of 2 + 37887 x + 40829
Megan pours sand into a bucket at a constant rate. The graph shows the total weight of the bucket and the sand over time. After 10 seconds, the total weight is 35 ounces.
What is an equation of the line parallel to the line on the graph that passes through (3, 35)?
Answer:
B. y = 2x + 29
Step-by-step explanation:
The given graph has a slope of 2 (a rise of 10 for a run of 5), so the last two chioices are not viable. Clearly a parallel line through the given point will have a positve y-intercept, so the first choice is not viable.
The appropriate choice is the second one:
... B. y = 2x + 29
Hence the line parallel to this is y = 2x + 29.
Hence, option B is correct.
What is line?A straight group of points that stretch in opposing directions is what is known as a line. It is endless in both directions and lacks any ends. It is not thick. It only has one dimension.
In the given graph,
The line is passing through (0, 15) and (10, 35).
Therefore the slope of this lien is,
m = (35-15)/(10-0)
= 2
Now the parallel line to this line will have same slope.
Which passes through (3, 35),
Hence the line be ,
y - 35 = 2(x - 3)
y - 35 = 2x - 6
y = 2x + 29
Hence the line is y = 2x + 29.
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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
PLEASE HELP ! Find the number of real solutions for the equation. x^2 - 3x +8 = 0
to determine the nature of the solutions use the discriminant
Given a quadratic equation in standard form : ax² + bx + c = 0
then the discriminant is b² - 4ac
• If b² - 4ac > 0 , then there are 2 real and distinct solutions
• If b² - 4ac = 0, there are 2 real and equal roots
• If b² - 4ac < 0 , there are no real solutions
for x² - 3x + 8 = 0 with a = 1, b= - 3 and c = 8
b² - 4ac = (- 3)² - (4 × 1 × 8 ) = 9 - 32 = - 23
Hence there are no real solutions to the equation
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:
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.
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!!
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°
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:
Can someone help me with this?
Which angles are corresponding angles? Select all that apply.
∠1 and ∠3
∠6 and ∠8
∠2 and ∠8
∠5 and ∠7
∠2 and ∠7
∠3 and ∠6
If you were to think of this diagram as a map of intersecting roads, corresponding angles are the ones on the same corner:
NW corner: ∠1 and ∠3
NE corner: ∠5 and ∠7
SE corner: ∠6 and ∠8
SW corner: ∠2 and ∠4
The choices in bold font above are the only pairs of corresponding angles that are in your answer list:
∠1 and ∠3∠5 and ∠7∠6 and ∠8Answer:
∠1 and ∠3 , ∠6 and ∠8 , ∠5 and ∠7 are corresponding angles
Step-by-step explanation:
Corresponding Angles are angles which occupy same relative position at intersection when a line intersects two lines.
In pair of corresponding angles, one angle is interior angle and other one is exterior angle.
Option 1:
∠1 is exterior angle and ∠3 is interior angle. Also Both are at relatively same position.
Thus they are Corresponding angles.
Option 2:
∠6 is interior angle and ∠8 is exterior angle. Also Both are at relatively same position.
Thus they are Corresponding angles.
Option 3:
∠2 and ∠8 both are exterior angle.
Thus they are not Corresponding angles.
Option 4:
∠5 is interior angle and ∠7 is exterior angle. Also Both are at relatively same position.
Thus they are Corresponding angles.
Option 5:
∠2 and ∠7 both are exterior angles.
Thus they are not corresponding angles.
Option 6:
∠3 and ∠6 both are interior angles.
Thus they are not corresponding angles.
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
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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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.
Identify and EXPLAIN the ERROR * Show CORRECT WORK and SOLUTION * What STRATEGY did you use for solving this problem *
A golf instructor ordered 21 cartons of golf balls. Each carton contained 15 golf balls. And equal number of golf balls were given to each of his six classes and the rest were put in his golf bag. How many golf balls to the instructor put in his golf bag?
10 1/2 golf balls to get it
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
Triangle ABC is similar to triangle XYZ by the AA Similarity Postulate. Also, m∠A = 73° and m∠C = 43°. What is m∠Y?
∠Y = 64°
since the triangles are similar
∠Y = ∠C
∠C = 180° - (73 + 43 )° = 64° = ∠Y
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]).
Connor drives an an eighteen-wheeler. It cost Conner $456 to fill the truck up with diesel fuel. If diesel fuel cost $3 a gallon, how many gallons of fuel were bought? A) 148 gallons B) 152 gallons C) 156 gallons D) 164 gallons
First to answer this take note of how much he spends and how much it cost,
456 is the total cost and it is 3 a gallon
To figure how many gallons he got divide 456 by 3
456/3=152
mary has 81 coins that have a total value of $5.40. if all of the coins are nickels and dimes how many of each does mary have
54 nickels and 27 dimes
1 dime = 10 cents = $0.1
1 nickel = 5 cents = $0.05
setting up 2 equations
let n = amount of nickels and d = amount of dimes, then
n + d = 81 → (1)
0.05n + 0.1d = 5.4 → (2)
multiply (2 ) by 10
0.5n + d = 54 → (3)
subtract (3) from (1) to eliminate d
0.5n = 27 ( divide both sides by 0.5 )
n = [tex]\frac{27}{0.5}[/tex] = 54
substitute n = 54 in (1)
54 + d = 81 ( subtract 54 from both sides )
d = 27
Mary has 54 nickels and 27 dimes
A bag contains 4 Green Marbles and 5 white marbles suppose a marble is randomly selected what are the odds in favor of picking a white marble
The odds in favor of picking a white marble from a bag with 4 green and 5 white marbles are 5 to 4.
This is calculated by comparing the number of white marbles to the number of green marbles.
Explanation:To determine the odds in favor of picking a white marble from a bag containing 4 green marbles and 5 white marbles, we need to calculate the ratio of the number of successful outcomes (picking a white marble) to the number of unsuccessful outcomes (not picking a white marble).
In this case, the successful outcomes are the 5 white marbles, and the unsuccessful outcomes are the non-white marbles, i.e., the 4 green marbles.
The odds in favor are therefore 5 to 4, or simply, 5:4.
Here's how to calculate odds using a probability example:
The probability of drawing a white marble on the first try isSo, the odds in favor of picking a white marble are 5 to 4.
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