Answer:
buses can hold 30 and vans can hold 17.
Step-by-step explanation:
Let the amount a van can hold be v and the amount a bus can hold be b.
12 vans and 12 buses totals 564: 12v + 12b = 564 (equation 1)
6 vans and 13 buses totals 492: 6v + 13b = 492 (equation 2)
Subtract 2 times equation 2 from equation1, we get 14b = 420.
Thus, b = 30.
Since 12v + 12b = 564, plugging in b=30, 12v + (12)(30) = 564, so v = 17.
The number of students filled in the van is 17, and number of students filled in the bus is 30.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as linear equation in one variable.
Let's suppose the total number of students in van is x, and the number of students in the bus is y
Now for the first scenario we can frame a linear equation in two variables such as:
12x + 12y = 564 or
x + y = 47 ....(1) (divide by 12 on both sides)
For the second scenario the linear equation in two variables becomes:
6x + 13y = 492 ....(2)
From the equation (1) take the value of x and plug in the equation (2), we get:
6(47-y) + 13y = 492
282 - 6y +13y = 492
7y = 492-282 (subtract 282 from both sides)
7y = 210
y = 30
Put this value in the equation (1), we get:
x + 30 = 47
x = 17 (subtract by 30 from both sides)
Thus, the number of students filled in the van is 17, and number of students filled in the bus is 30.
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3x²+6x+8=6 find the discriminant
Answer:
12
Step-by-step explanation:
Answer: 12
Step-by-step explanation:
3x^2+6x+8=6
3x^2+6x+8-6=0
3x^2+6x+2=0
here a=3 ,b=6,c=2
Discriment=b^2-4ac
=(6)^2-4(3)(2)
=36-24
=12
a pizzeria charges eight dollars for a large cheese pizza, plus 2 dollars for each topping. the total cost for a large pizza is given by the equation c equals 2t+8, where t is the number of toppings. what is the slope? what does the slope represent? what is the y-intercept? what does the y-intercept represent? list all 6 ordered for 0-5 toppings.
Step-by-step explanation:
the slope is 2 (the cost for each topping)
the y-int is 8,, it represents the initial $8 for the pizza
and i dnt understand wht the last sentence is asking for
Dwayne watched a movie that began at 4:38 p.m. The movie finished at 6:22 p.m.
How long was the movie?
1 hour 16 minutes
1 hour 44 minutes
2 hours 16 minutes
2 hours 44 minutes
Answer:1 hour 44 minutes
Step-by-step explanation:
The movie would be 2 hours 24 minutes long.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Dwayne watched a movie that began at 4:38 p.m. The movie finished at 6:22 p.m.
Now, The length of movie watched by Dwayne is,
⇒ 6 : 22 - 4 : 38
⇒ 1 : 84
⇒ 2 : 24
Hence, The movie would be 2 hours 24 minutes long.
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What (7 1/3) - (2 2/3) = pls help.
Answer:
4 2/3 is the answer
Step-by-step explanation:
4 2/3 is the answer
Answer:
[tex]4\frac{2}{3}[/tex]
Step-by-step explanation:
Will's teacher expressed his social studies quiz grade as 17/20. What is his quiz grade expressed as a percent?
Answer:
Step-by-step explanation:
0.85%
For which of the figure(s) below would we calculate VOLUME?
A: Figure A only
B:figure B only
C:figures A and B
D:figures B and C
please help me with this. find the area by composing or decomposing into triangles or other shapes as needed.
Answer:
Okay so if I did my math correct the answer should be 168 yd
Step-by-step explanation:
If you make it into a rectangle by sliding the shape up on its right side. Your bottom or base of 10 will change to be 8 if I am not mistaking it.
Let me know if that is right
Convert 5pie/3 radians to degrees
Answer:
300 degrees
Step-by-step explanation:
After converting the given equation 5π/3 into degree, the value obtained will be equal to 300°.
What is an expression?If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.
The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. In order to include terms into an expression, a mathematical operation like reduction, addition, multiplication, or division is used.
As per the given information in the question,
5π/3 radians to degree.
To convert radians to degree multiply it with 180/π
So,
5π/3 × 180/π
= 60 × 5
= 300°
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Doing a quiz please help 30 points for the best answer
Answer:
(X-7)^2+(y +3)^2 = 7
just... I can't make promises, but almost to last question, 5 star and brailiest
Answer:
A= 1,0 B=0,-3 C=-6,5 D=-3,-5 E=-1,4
Step-by-step explanation:
you did it right. just got some numbers mixed up (remember x=axis before y-axis)
Could someone please help me with this homework assignment?
Il pay 40 or more if u show work?...
Send me a msg
Answer:
1. $27.30 2. $48.00 3. $15.75 4. $24.20 5. $31.00 6. $40.80
Step-by-step explanation:
1. $13.00 + (1.10)($13.00)
= $ 27.30
2. $60.00 - $60.00(0.20)
= $48.00
3. $15.00 + $15.00(0.05)
= $15.75
4. $22.00 + $22.00(0.10)
= $24.20
5. $25.00(0.06) + $25.00(0.18) + $25.00
= $31.00
6. $32.00(0.075) + $32.00(0.20) + $32.00
= $40.80
Hope this helped :)
A swimmer swims 30 laps in 5 minutes. How many laps would they swim in 23 minutes?
Answer:
138 laps in 23 minutes
Step-by-step explanation:
30/5
x/23
5x=690
690/5=138
You pay $3 per square foot for carpeting. Which equation can be solved to find the
amount you will pay to cover a triangular section of the floor with a base of 2 yards and
a height of 5 yards?
Answer:
$135
Step-by-step explanation:
Step 1
Conversion
Base = 2 yards
1 yard = 3 feet
2 yards = x
Cross Multiply
x = 2 × 3 feet = 6 feet
Height = 5 yards
1 yard = 3 feet
5 yards = x
Cross Multiply
x = 5 × 3 feet = 15 feet
Step 2
Find the area of the triangle
Area of a triangle = 1/2 × base × height
Base = 6 feet
Height = 15 feet
Area = 1/2 × 6 × 15
= 45 square feet
Step 3
Find the cost of the carpet
1 Square foot = $3
45 square feet = x
Cross Multiply
x = 45 × $3
x = $135
Therefore, the amount you will pay to cover a triangular section of the floor is $135
On Monday, the temperature at 10 a.m. at Sam's house was -6° Fahrenheit. The temperature at 2 p.m. at Sam's house
was 2° Fahrenheit.
Which statement about the change in temperature from 10a.m. to 2 p.m. at Sam's house is true?
PLEASE HELPPPP 80 points!!!!!
Choose Yes or No to tell whether the pairs of angles are congruent.
1. Alternate interior angles (Yes or No)
2. Corresponding angles
(Yes or No)
3. Same-side interior angles
(Yes or no)
The equation, y=25x, represents the cost, y, in dollars, of x cubic yards of mulch at the garden shop
Answer:
The cost is $75
Step-by-step explanation:
Given
[tex]y = 25x[/tex]
Required
Cost of 3 cubic yards -- Missing from the question
The required means that: [tex]x = 3[/tex]
Plug in [tex]x = 3\\[/tex] to [tex]y = 25x[/tex]
[tex]y = 25 * 3[/tex]
[tex]y = 75[/tex]
The cost is $75
Solve the system by substitution.
x=-6y 4x + 10y = 14
Answer:
x = 6
y = -1
Step-by-step explanation:
x = - 6y ----------------------(I)
4x + 10y = 14 ------------------(II)
Substitute x = -6y in equation (II)
4*(-6y) + 10y = 14
-24y + 10y = 14 {Combine like terms}
-14y = 14 {Divide both sides by 1-4}
y = 14/-14
y = -1
Now, substitute y = -1 in equation (I)
x = - 6*(-1)
x = 6
Using n = 3.14, find the area of a circle with a radius of 7.
Round your answer to the nearest hundredth.
Area of a circle = pi x r^2
Area = 3.14 x 7^2
Area = 3.14 x 49
Area = 153.86 square units.
I WILL GIVE BRAINLIEST!!!
Answer:
45min
Step-by-step explanation:
just mutiply
Answer:
83min
Step-by-step explanation:
can i have it im trying to get a new role
PLEASE HELP ME!!! I'M ALMOST OUT OF TIME!!
Answer:
I am confused what the question is asking
Step-by-step explanation:
Could you please comment down below and restate the question?
Answer: ok so.. exponential function's is kinda the same process as slopes and linear equations and functions ok so........
For slopes its rise over run but for this question its...... TO BE CONTINUED LOL (go to the explanation)
Step-by-step explanation:
So for the run on the x axis its 7 you can see it goes upward a little bit on the 7 but the 7 still counts :D
ok so we got 7 and as the line rises 9go to the picture added for more understanding) So as the line rises we can see from were i marked it in the picture that it touches the 2. So we got 2 as the rise and 7 as the run but remember this is not slopes lol so its kinda different.
THE ANSWER IS A
HIII could some one please help me !!
Answer:
always
Step-by-step explanation:
so if it isn't it will be an acute or an obtuse
Evan earns $21.50 per hour for 25 hours and time and a half for overtime. If he worked 5 hours
overtime, what is his total pay?
find the slope when given the following points (1 6) and (3 -4)
Answer:
Slope= (-4-6)/(3-1)
=-10/2
=-5
The radius of a circle is 2 miles. What is the circle's
circumference?
r=2 mi
Use 3.14 for a.
Answer:
12.56
Step-by-step explanation:
4 ×3.14 to get 12.56
What is the rule for the reflection?
ry-axis(x, y) – (-x, y)
ry-axis (x, y) - (4, -y)
rx-axis (x, y) - (-x, y)
rx-axis (x, y) - (x; -y)
Answer:
Step-by-step explanation:
it’s the last one
Answer:
D
Step-by-step explanation:
right on edge 2022
Brianna planted daffodils and tulips in her garden she planted 4 daffodils for every 3 tulips if Brianna planted 28 flowers in all how many tulips did she plant
Answer:
12 Tulips
Step-by-step explanation:
Daffodils - 4, 4, 4, 4 = 16
Tulips - 3,3,3,3 = 12
28 flowers in all
the straight line L passes through the points (0 , 12) and (10 , 4).
Find an equation of the straight line which is parallel to L and passes through the point (5 , -11).
Answer:
y = - [tex]\frac{4}{5}[/tex] x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 12) and (x₂, y₂ ) = (10, 4)
m = [tex]\frac{4-12}{10-0}[/tex] = [tex]\frac{-8}{10}[/tex] = - [tex]\frac{4}{5}[/tex] ← slope of line L
Parallel lines have equal slopes , then
y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation
To find c substitute (5, - 11) into the partial equation
- 11 = - 4 + c ⇒ c = - 11 + 4 = - 7
y = - [tex]\frac{4}{5}[/tex] x - 7 ← equation of parallel line
The equation of the straight line which is parallel to L and passes through the point (5 , -11) will be;
⇒ y = - 4/5x - 7
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The straight line L passes through the points (0 , 12) and (10 , 4).
And, The equation of the straight line which is parallel to L and passes through the point (5 , -11).
Now,
Since, The straight line L passes through the points (0 , 12) and (10 , 4).
So, Equation of line L is,
⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)
⇒ y - 12 = (4 - 12) / (10 - 0) (x - 0)
⇒ y - 12 = - 8 / 10x
⇒ 10 (y - 12) = - 8x
⇒ 10y - 120 = - 8x
⇒ 10y = - 8x + 120
⇒ y = - 8/10x + 12
⇒ y = - 4/5x + 12
And, The equation of the straight line which is parallel to L and passes through the point (5 , -11).
So, We need to find the slope of the line.
Since, The slope of the parallel line is same.
Hence, Slope of the line is,
y = -4/5x + 12
m = dy/dx = - 4/5
m = - 4/5
Thus, The equation of line with slope 1- 4/5 is,
⇒ y - (-11) = - 4/5 (x - 5)
⇒ y + 11 = - 4/5 (x - 5)
⇒ 5 (y + 11) = - 4x + 20
⇒ 5y + 55 = - 4x + 20
⇒ 5y = - 4x + 20 - 55
⇒ 5y = - 4x - 35
⇒ y = - 4/5x - 7
Thus, The equation of the straight line which is parallel to L and passes through the point (5 , -11) will be;
⇒ y = - 4/5x - 7
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HELP PLS: A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were defective.
A store clerk generates random numbers to simulate a random sample of this shipment. The clerk lets the numbers 1
through 300 represent defective MP3 players, and the numbers 301 through 5,000 represent working MP3 players.
The results are given.
13 2,195 3,873 525 900 1 67 1,094 1,472 709 5,000
Based on the sample, how many of the MP3 players might the clerk predict would be defective?
Answer: 1,000 players
Step-by-step explanation: The result has two values between 1 through 300
out of the 10 value in the sample so the clerk would predict 5,000 *[tex]\frac{2}{10}[/tex]=1,000 defective players.
Zoom In to see I need help
Answer:
The answer it probably is C.
Step-by-step explanation:
Just add 16+16+16= 48. Hope this helps
Answer:
The answer is C... 16 units.
Step-by-step explanation:
I had this question on my test and got it correct.
6 x 10^ is how many times as large as 3 x 10^3?
Answer: 1800000000
Step-by-step explanation:
Answer:
200 Times as large
Step-by-step explanation: