Answer:
74.30
Step-by-step explanation:
Let s = entry price for a student
Let t = entry price for a teacher
4s +5t = 95
6s+10t = 173
I will use elimination to solve this problem.
Multiply the first equation by -2
-2(4s +5t) = -2*95
Distribute
-8s - 10t = -190
Add this equation to the second equation to eliminate t
-8s - 10t = -190
6s+10t = 173
----------------------
-2s = -17
Divide by -2
-2s/-2 = -17/-2
s = 8.50
Now we need to find t
4s +5t = 95
Substitute s=8.50
4(8.50) +5(t) = 95
34 +5t = 95
Subtract 34 from each side
34-34 +5t = 95-34
5t = 61
Divide by 5
5t/5 = 61/5
t = 12.20
We want to find the cost for 3 students and 4 teachers
3s+4t
3(8.50) + 4(12.20)
25.50 + 48.80
74.30
What is the volume of a cylinder with a diameter of 6m and a height of 5m?
Final answer:
The volume of a cylinder with a diameter of 6m and a height of 5m is calculated using the formula V = πr²h. With a radius of 3m, the volume is 141.39m³.
Explanation:
To find the volume of a cylinder with a diameter of 6m and a height of 5m, we first need to calculate the radius of the cylinder. The radius is half of the diameter, so in this case, the radius (r) is 3m. The formula for the volume (V) of a cylinder is V = πr²h, where π (pi) is approximately 3.142, r is the radius, and h is the height of the cylinder.
Using this formula, we get:
V = π × (3m)² × 5m
V = 3.142 × 9m² × 5m
V = 3.142 × 45m³
V = 141.39m³
Therefore, the volume of the cylinder is 141.39 cubic meters.
at its farthest point, jupiter is 6.01x10^8 miles from earth. Scientists are trying to create a special space tool that travels 8.9x10^5 miles per day. if they succeed, how many days would it take for the tool to travel to jupiter at its farthest point from earth?
Answer:
It would take 675.2809 days or 675.3 days
Step-by-step explanation:
first you simplify your equations if possible which you can here.
6.01×10^8=601,000,000 8.9×10^5=890,000
Then you are going to divide 601,000,000 by 890,000 or you cancel the zeros and then divide (your choice)
601,000,000/980,000
You can cancel out the zeros that both share so you'll be left with
60,100/89
then you divide and you get
675.2809
or you can round to the nearest tenth and you get
675.3
An event lasts for 5 hours and 30 min how long did the event last in seconds
Answer:
19800
Step-by-step explanation
5 * 60 =300
5 hrs is 300 minutes
300 + 30 = 330
5hrs and 30 min is 330 min
330*60= 19800
5hrs and 30 min is 19800 sec
Answer all questions please
Answer:
4.
a. base angle
b. leg
c. vertex
d. leg
e. base
f. base
5. You have 3 pairs of corresponding congruent sides, so the property that proves the triangles are congruent would be SSS.
An ice sculpture is melting because of heat. Assuming its height changes bynegative 5 over 32m every hour, what will be the change in height after 4 hours? negative 20 over 8 meters 5 over 8 meter negative 5 over 32 meter negative 5 over 8 meter
Answer:
the answer is -20/8 or A
Step-by-step explanation:
Kellan's lemonade recipe uses 4 scoops of lemonade powder for every 2.5 cups of water. Kellan uses 10 scoops of lemonade powder to make a batch of lemonade. How much water should he use?
Answer:
7.25
Step-by-step explanation:
4 times 2 is 8 so then add another half and you will get 10 so multiply 2.5 times 2.5
Kellan should use 6.25 cups of water to make a batch of lemonade with 10 scoops of lemonade powder.
Explanation:To determine how much water should be used, we can set up a proportion using the lemonade powder to water ratio. Since 4 scoops of lemonade powder are used for every 2.5 cups of water, we can write the proportion as:
4 scoops / 2.5 cups = 10 scoops / x cups
To solve for x, we can cross-multiply and divide:
4x = 10 * 2.5
4x = 25
x = 6.25 cups
Therefore, Kellan should use 6.25 cups of water to make a batch of lemonade with 10 scoops of lemonade powder.
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An oak tree is 1.5 x 10^3 centimeters tall which unit of measurement is most appropriate to measure this height
D) feet
A tree 1.5 x 10^3 is 1500 centimeters. That's about 300 inches, which would better be measured in feet.
You can use the fact that normally people use those measurements which are whole numbers or not elongated decimal number mostly and not much big numbers.
The most appropriate unit to measure the length of the tree out of the given options is
Option D: feet
How to find the appropriate unit for measurement?Normally people use those measurements which are whole numbers mostly and if not, then not too much long after decimal and not much big numbers.
A tree is measured suitably if we use feet. It is because the normal tree height is from few feet to few hundred feet.
If you measure tree height in centimetres, then as you can see in the question, the number before cm unit is quite big to handle by normal people.
If you measure in too big unit like kilometres, then the height would be expressed mostly like 0.some digits.
That's why we choose feet.
Since 1 cm = 0.0328 feet
thus, height of specified tree in feet would be
[tex]\rm 0.0328 \times 1.5 \times 10^{3} = 49.2 \: feet[/tex]
See the number before feet. Its not too big nor too small, and easy to remember and converse. That's why feet is appropriate.
Thus,
The most appropriate unit to measure the length of the tree out of the given options is
Option D: feet
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The number of calories varies directly with the massive cheese if there are 200 cal in 50 g how many calories are in 70 g of cheese
Answer:
280 calories
Step-by-step explanation:
200 / 50 = 4
1 gram = 4 calories
70 * 4 = 280
Therefore, there are 280 calories in 70 grams of cheese.
Help would be greatly appreciated! 20 points...
3. In picture below...
4. The equation for line m is y = 1/2x - 5 . Use this information and these descriptions to write an equation for line n, line p, and line r.
(a) Line m and line n have no solutions. Write an equation that can represent line n.
(b) Line m and line p have infinitely many solutions. Write an equation that can represent line p.
(c) Line m and line r have one solution. Write an equation that can represent line r.
5. Identify whether each statement about a system of linear equations is true or false. For each false statement, change a word to make it a true statement.
(a) A system with two linear equations may have two solutions.
(b) Lines in a system with no solutions are always parallel.
(c) The solution when a system of equations has only one solution is the ordered pair at which the equations' graphs intersect.
(d) Equations that have different slopes have no solution.
Answer:
Step-by-step explanation:
Three
3a
Two lines that have slopes where 1 is the negative of the other will intersect some where once and only once. I've included a graph for this.
3b
If you multiply the top line by 2 you get the bottom line. They are the same line. There's an infinite number of solutions.
3C
They will intersect once. On your paper just extend both lines. They intersect.
3D
If they are parallel, they never intersect. No solution.
Four
what's at the tail end of four. y = 1/2x - ???? I'll give it a value. You'll have to change the value to get it to work properly.
A
m: y = 1/2x - 4 The 4 is mine. Change it to what it says.
n: y = 1/2x - 8 Any value except - 4 will work.
B
m: y = 1/2x - 4
n : -2y = -x + 8 They are really the same equation. n = -2*m
C
m: y = 1/2 x - 4
n: y = x + 3
I'm going to let you work your way through 5. There should be enough in 3 and 4 to get five.
Five
A: False
B: This question is not true, but you probably don't have enough math to say why. Bend your right arm so it is parallel to your belt. Above that "line" bend your left arm so it is over the right arm in just one place. The left arm should be pointing towards the wall of your room. Those two are not parallel nor do they have any meeting place.
C: True
D: False
An equilateral triangle is dilated by a scale factor of 3. If a side of the original triangle is 6, what is the measure of a side of the new triangle?
Answer:
18
Step-by-step explanation:
Let the side of the triangle be a and that of the new one be a'.
a'/a = 3/1 Insert the value of a
a'/6 = 3 Multiply each side by 6
a' = 18
The measure of a side of the new triangle is 18.
Answer: 18 units.
Step-by-step explanation:
When a segment 'm' is dilated by a scale factor 'k' , then the measure of new dilated segment will be 'km' [i.e. New side length =scale factor is multiplied to the original side-length].Given : An equilateral triangle is dilated by a scale factor of 3.
[Note an equilateral triangle has all its side-lengths are equal.]
Side-length of the original triangle = 6 units
Then, the measure of a side of the new triangle = Scale factor x Original side-length
= 3 x 6 = 18 units
Hence, the measure of a side of the new triangle = 18 units.
I’m need help plz !!
Answer:
your answer would be C
Step-by-step explanation:
follow the numbers up the graph
Answer:
C. After 6 minutes, Sam is 60 meters from the dock.
Step-by-step explanation:
what are the values of x and y that satisfy 3x − 1 + 2y = 0 and 3x2 − y2 + 4 = 0
The values of x and y that satisfy the system of equations are x = (1/3 ± i√(19))/1 and y = (±i√(19) + 2)/2.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
We are given that;
The equations 3x − 1 + 2y = 0 and 3x2 − y2 + 4 = 0
Now,
To find the corresponding values of y, we can plug these values of x into the expression for y that we found earlier:
[tex]y = -1/2(3x - 1). For x = (1/3 + i√(19))/1, we get: y = -1/2(3(1/3 + i√(19))/1 - 1) = -1/2(i√(19) - 2) = (i√(19) + 2)/2. For x = (1/3 - i√(19))/1, we get: y = -1/2(3(1/3 - i√(19))/1 - 1) = -1/2(-i√(19) - 2) = (-i√(19) + 2)/2.[/tex]
These are the values of y that satisfy the system of equations.
Therefore, by quadratic equations the answer will be x = (1/3 ± i√(19))/1 and y = (±i√(19) + 2)/2.
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round to the underline place value in the 3 in 32,134,085 (the one next to the 2)
capital building is 287 feet. the height of a model building is 2.87. what is the scale if the model
Answer:
100:1
Step-by-step explanation:
To solve this, you must divide the two.
287 / 2.87 = 100
The scale factor of the model is 100:1.
The scale factor between a real building that is 287 feet tall and a model that is 2.87 feet tall is 0.01, or 1:100. This means that each unit on the model corresponds to 100 units on the actual building.
Explanation:The subject here is regarding scale factor in mathematics. The scale factor is the ratio between the corresponding sides of two similar figures. In this case, the two figures are the actual capital building and its model. To calculate the scale, divide the height of the model by the height of the actual building. So, if an actual building is 287 feet and its model is 2.87 feet, then the scale is given by 2.87 / 287, which is 0.01.
So, the scale of the model to the building is 1:100, because for every one unit on the model, there are 100 units on the actual building. Remember this scale when considering the height and other dimensions of the model or the building.
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Find the GCF from the two numbers 24+36, and rewrite the sum using the distributive property
24 = 2 · 2 · 2 · 3
36 = 2 · 2 · 3 · 3
GCF(24, 36) = 2 · 2 · 3 = 12
24 = 12 · 2
36 = 12 · 3
24 + 36 = 12 · 2 + 12 · 3 = 12 · (2 + 3)Answer:
24 + 36 = 12 · 2 + 12 · 3 = 12 · (2 + 3)
Step-by-step explanation:
comment if you want to do some assignments for me. I’ll make you brainiest and give you all my points.‼️‼️‼️‼️‼️‼️‼️‼️ (Math and science)
Answer:
Ask away
Step-by-step explanation:
Answer:
Ill do the math
Step-by-step explanation:
write the equation of the line that passes through the points (-3,1) and (3,5) in point-slope, slope-intercept, and standard form (using only integers). Then graph the line. show all work
Answer:
See below.
Step-by-step explanation:
The slope of the line is (5-1) / (3 - -3)
= 4/6 = 2/3
Point slope form:
y - y1 = m(x - x1)
Plugging in m = 2/3 and the point (-3,1):-
y - 1 = 2/3(x + 3) (answer)
Slope-intercept form:-
y - 1 = 2/3(x + 3)
y = 2/3x + 2 + 1
y = 2/3x + 3 (answer)
Standard Form:-
y = 2/3x + 3
Multiply through by 3:-
3y = 2x + 9
-2x + 3y = 9 (answer).
Round 630.821430372 to the nearest whole number.
Answer:
630.8 for the nearest tenth, and 631 for a whole number.
Step-by-step explanation:
y+8=-11
[tex]y + 8 = - 11[/tex]
[tex]y+8=-11\qquad\text{subtract 8 from both sides}\\\\y+8-8=-11-8\\\\\boxed{y=-19}[/tex]
Measurement of angle 1
Answer:
55
Step-by-step explanation:
Given that a circle and inside two chords with same arc length.
We are to find the angle between the two chords.
Given that two arcs subtend angle 125 degrees at the centre.
Let us join the two ends of chords to make the figure as a triangle inside a circle.
The triangle is isosceles as two arcs and hence chords are equal.
By central angle theorem we have the two equal angles as 1/2 (125) = 62.5
Hence we have a triangle with two equal angles 62.5 and another angle 1.
By triangle sum of angles theorem
angle 1+62.5+62.5 = 180
Hence angle A = 180-62.5-62.5 = 55 degrees.
each bowl can hold 1/4 cup of nuts. Taisha has 3 3/8 cup of nuts. How many full bowls can she make?
Answer:
13 bowls
Step-by-step explanation:
To figure out how many bowls of nuts she can make, we divide how many cups of nuts she has by how many cups of nuts in a bowl
3 3/8 ÷ 1/4
Lets change 3 3/8 into an improper fraction
3 3/8 = (8*3 +3)/8 = 27/8
27/8 ÷ 1/4
Copy dot flip
27 /8 * 4/1
27/2
2 goes into 27 13 times with 1 left over
13 1/2
She will have 13 full bowls of nuts
What’s the difference between 66.830 and 142.6
Answer:
-75.77
Step-by-step explanation:
finding the difference is just finding the distance between two points
your two points are 66.830 and 142.6
so subtract 66.830 from 142.6 and you will get -75.77 depending on the question it could be positive or negative.
Answer:
75.77
Step-by-step explanation:
Help ASAP please
First answer and correct answer gets the brain...
Math
Answer problem ASAP!!!
Answer:
3/8
Step-by-step explanation:
The height is 9 in the drawing and the statue is 24
We want the scale factor from drawing to statue
The ratio is 9/24
Divide the top and bottom by 3
3/8
What value of a in the equation ax − 4 = 2y would give a line with a slope of 2?
Answer:
a=4
Step-by-step explanation:
ax − 4 = 2y
We need to get the equation is slope intercept form y= mx+b.
Lets solve for y
Divide each side by 2
a/2 x - 4/2 = 2y/2
a/2 x -2 = y
or y=a/2 x -2
The slope is a/2 and the y intercept is -2
We want a slope of 2 so a/2 =2
a/2=2
Multiply each side by 2
a/2 * 2 =2*2
a =4
What is the slope of A-line that is perpendicular to the line shown, (0,-2) (-3,2)
Answer:
3/4
Step-by-step explanation:
Answer:
-3/4 I think hope this helps
1 kilogram= 2.2 pounds, 1 stone= 14 pounds change 42 kilograms into stones
Answer:
6.6 stone
Step-by-step explanation:
We will use conversions to change kilograms to stones
1 kilogram= 2.2 pounds,
1 stone= 14 pounds
42 kilogram 2.2 lbs 1 stone
--------------- * ------------- * ---------------
1 kg 14 lbs
All the units cancel except stone
(42*2.2)/14 stone
6.6 stone
What is the surface area of the cylinder?
A.) 9πm²
B.) 18πm²
C.) 21πm²
D.) 13.5πm²
[tex]\bf \textit{surface area of a cylinder}\\\\ SA=2\pi r(h+r)~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=1.5\\ h=1.5 \end{cases}\implies SA=2\pi (1.5)(1.5+1.5) \\\\\\ SA=3\pi (3)\implies SA=9\pi[/tex]
The goal of a toy drive is to donate more than 1000 toys. The toy drive already has collected 300 toys. How many more toys does the toy drive need to meet its goal? Write and solve an inequality to find the number of toys needed.
Answer: 700
Step-by-step explanation:
The required inequality to calculate the number of additional toys needed to meet the goal of more than 1000 toys and additional condition is shown in the inequality '300 + x > 1000'.
The goal of the toy drive is to collect more than 1000 toys.
Given that 300 toys have already been collected, we want to find out how many more toys are needed to meet this goal.
To represent this situation, we can set up an inequality where x represents the number of toys still needed.
The inequality would be 300 + x > 1000.
Solving for x, we subtract 300 from both sides to isolate x, which gives us x > 700.
This means that the toy drive needs more than 700 additional toys to meet its goal of donating more than 1000 toys.
22/25 of a number is what percentage of that number
Answer:
88 percent because to get to 25*4 is 100 so whatever you do on the bottom you do on the top and you get 88
Step-by-step explanation:
Answer:
0.88
Step-by-step explanation:
this is easy!
divide 22 by 25.
the line between the numbers mean to divide
so you take the top number and put it outside the box then put the bottom on the inside of your box
PLEASE help I'm a bit confused and need to know this quick will bought 4 slices of pizza for $6.00. Let X represent the number of slices of pizza purchased, and let y represent the total cost. Graph the line that represents the proportional relationship.
Answer:
The dot would be at (4, 6)
Step-by-step explanation:
To graph the line that represents the proportional relationship between the number of slices of pizza purchased and the total cost, divide the change in total cost by the change in the number of slices. In this case, the line passes through the points (4, 6) and (0, 0) with a slope of 1.5.
Explanation:To graph the line that represents the proportional relationship between the number of slices of pizza purchased and the total cost, we need to identify the slope of the line. The slope represents the rate of change of the total cost with respect to the number of slices. In this case, we can calculate the slope by dividing the change in total cost by the change in the number of slices.
Given that the student bought 4 slices of pizza for $6.00, we can create two points on the line: (4, 6) and (0, 0). The first point represents 4 slices purchased for $6.00, and the second point represents 0 slices purchased for $0.00.
To calculate the slope, we use the formula (change in y)/(change in x), which gives us (6-0)/(4-0), resulting in a slope of 6/4 or 1.5.
Therefore, the line that represents the proportional relationship is a straight line passing through the points (4, 6) and (0, 0) with a slope of 1.5.