A money box contains only 10-cent and 20-cent coins. There are 40 coins with a total value of $6.50. How many coins of each?
Answer:
10x+20y= 350
Step-by-step explanation:
Add the decimal. 3.50
Let's assume that all the coins are 10-cent coins.
The total value would be 10 x 40 = 400 cents = $4
So, it would be $2.5 less than the actual total value,
We now know that not all the coins are 10-cent coins, so now we will replace 1 10-cent coins with a 20-cent coins.
Everytime we switch a 1 10-cent coins to a 20-cent coins, the value go up 10 cents. So, we need to switch 25 times (to make the value goes up $2.5)
-> There are 25 20-cent coins and 15 10-cent coins
Recheck : 25 x 20 + 15 x 10 = 500 + 15 = 650 cents = $6.5
The rectangle shown has a perimeter of 56 cm and the given area. Its length is 8 times more than three times its width. Write and solve a system of equations to find the dimensions of the rectangle.
Answer:
Dimensions of rectangle = 23 cm x 5 cm
Step-by-step explanation:
Equations we can form
Perimeter of 56 cm⇒ 2L + 2W = 56
⇒ L + W = 28
Length is 8 more than 3 times its width⇒ L = 3W + 8
Substitute in previous equation
⇒ 3W + 8 + W = 28
⇒ 4W = 20
⇒ W = 5 cm
⇒ L = 28 - 5 = 23 cm
The Kingda Ka roller coaster at Six Flags NJ is the tallest steel roller coaster. The car has a mass of 9750 kg with passengers. It is shot across a horizontal track then climbs up a vertical incline to a height of 139 m before stopping at the top. Ignoring friction and air resistance, what amount of kinetic energy must the coaster have before it goes up the incline?
Gravity 9.8 m/ ^2s
physical science!
Help pls
The kinetic energy that the coaster must have before it goes up is: 13.3megajoules.
What is kinetic energy?Kinetic energy refers to the energy that a body possesses due to its motion. It's known to be the energy needed to move a body of a given mass from rest to its stated velocity.
We can calculate the kinetic energy of the Kingda Ka roller in the following way:
K.E = Potential Energy
K.E = mgh
Where: m = mass = 9750
g = acceleration due to gravity = 9.8m/s²
h = height = 139m
Thus: K.E = 9750 x 139 x 9.8 = 13,281,450J
= 13.3megajoules.
Learn more about kinetic energy on https://brainly.com/question/25959744
Keisha cuts a 2/3 foot rope into 1/12 foot piecesz how many pieces of rope was she able to cut?
Do I divide 2/3 by 1/12?
Answer:
yes its 24/3 but reproduce is 1/8
Step-by-step explanation:
The unit rate of change of y with respect to r is the amount y changes for a change of one unit in I.
is the unit rate of change of y with respect to r greater in the equation y = 0.25% or in the graph below?
Choose 1 answer:
The graph
The unit rates are the same.
The equation
Answer:
(.8-.4)/(2-1) =.4
SLOPE IS THE RATE OF CHANGE Answer: A
Step-by-step explanation:
What is
13/31 as a percentage?
Give your answer rounded to one decimal place
Answer:
13 is 41.9 percent of 31
13/31*100=41.9
Carmen went for a drive in her new car. She drove 437.5 miles in 7 hours. What was her speed?
Please help!!!!
Answer:
62.5 miles per hour
Step-by-step explanation:
Assuming she had the same speed the whole time and never stopped, just divide the miles driven by the time to get miles per hour. 437.5/7 = 62.5, so she drove 62.5 miles per hour.
Hopefully this helps- let me know if you have any questions!
what is the slope of the line containing the point( -9,2) and (3,14)
Answer:
the slop is 1
Step-by-step explanation:
hop that help
Impaired brain function as a result of drug use involves all of the following except: a. increased confusion b. errors in judgment c. memory loss d. increased concentration
Increased concentration is the answer as drug impairs our ability to control ourselves.
Hope it helps!
Impaired brain function as a result of drug use doesn't involve: Option D: Increased concentration.
What is impaired brain function?A significant deterioration in one or more domains of conscious mental activity, such as language, learning, and memory, that interferes with everyday function and independence are some of the traits of impairment of brain.
Thus, as we see, first three options are showing acts of impaired brain but the fourth option contradicts, as impairment from drug use isn't going to increase concentration and if it somehow does, then it isn't impairment.
Thus, impaired brain function as a result of drug use doesn't involve: Option D: Increased concentration.
Learn more about impaired brain function here:
https://brainly.com/question/7451329
The temperature during a winter day was less than –3 degrees Fahrenheit. Yuri wants to write an inequality for the temperature during the winter day. Yuri uses the variable t to represent the temperature. Which expression should Yuri write?
t greater-than negative 3
t greater-than 3
t less-than negative 3
t less-than 3
Answer:
The answer is t < -3
Step-by-step explanation:
t < -3 is the answer, because since the temperature is less than -3 degrees Fahrenheit it has to be t < -3
Write 16^1/4 as a power then evaluate
Answer:
2
Step-by-step explanation:
[tex]16^{\frac{1}{4} }[/tex] = [tex]\sqrt[4]{16}[/tex] = 2. To find the fourth root, find the number that repeats itself four times using multiplication. 2 x 2 x 2 x 2 = 16
PLS PLS PLS HELP ME!!!
Answer:
[tex]x = 180 - (37 + 53)[/tex]
is the answer
According to the Graffalo the slope line B is ?:
Answer:
yes ikr
Step-by-step explanation:
yes ikr
yes ikr
yes ikr
yes ikr
yes ikr
yes ikr
yes ikr
yes ikr
yes ikr
what is math for
like what do we use it for whats the point of math no one uses it
Answer:
The study of the measurement, relationships, and properties of quantities and sets, using numbers and symbols.
Step-by-step explanation:
Lucy wants to make a confidence interval to estimate the true mean wait time explain throughly why Lucy has or has not satisfied the normal condition for contstructing a confidence interval
The confidence interval would help Lucy determine the probability that a parameter will fall between two values around the mean.
How to determine the normal condition for the confidence interval?The question is incomplete, as the needed parameters to answer the question are missing.
So, I will list the normal conditions for constructing the confidence interval
The condition for constructing the confidence interval include:
The sample must be a random sampleThe variables must be independenceThe samples must be a large sample i.e. 30 or greaterThe sample size should be less than or equal to 10% of the population sizeRead more about confidence interval at:
https://brainly.com/question/15712887
HELP ASP PLEASE math
Answer: D
Step-by-step explanation:
[tex]3x^2-x+2=0[/tex]
[tex]\text{Solve \ with \ the \ quadratic \ formula \mathrm{for\:}\quad a=3,\:b=-1,\:c=2}[/tex]
[tex]x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\cdot \:3\cdot \:2}}{2\cdot \:3}[/tex] [tex]\rightarrow \sqrt{\left(-1\right)^2-4\cdot \:3\cdot \:2} =\sqrt{1-24} =\sqrt{-23} =\sqrt{-1}\sqrt{23} =\sqrt{23}i[/tex]
[tex]x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{23}i}{2\cdot \:3}[/tex]
[tex]x_1=\frac{-\left(-1\right)+\sqrt{23}i}{2\cdot \:3},\:x_2=\frac{-\left(-1\right)-\sqrt{23}i}{2\cdot \:3}[/tex]
[tex]x_1=\frac{1+\sqrt{23}i}{6},\:x_2=\frac{1-\sqrt{23}i}{6}[/tex]
A tonne (1000 kg) of soil is to be equally divided
between 7 garden beds. How much soil is placed
in each garden bed? Write your answer in tonnes
rounded to the nearest kilogram.
Answer:
0.143 tonnes
Step-by-step explanation:
1000 / 7 = 142.857143
= 143 kg
= 0.143t
I’m confused on what to do.
All you need to do is use your calculator to solve that equation. Just so you don't need to for just this one, here's the answer you should type into the box:
3/20
HELP PLEASE
What is the surface area of this right triangular prism?
Enter your answer in the box.
in²
The surface area is the sum of the areas of the faces of a figure. We can break this figure down into 3 different shapes: the base rectangle, the rectangles that come to a point, and the two triangles.
Area of a Rectangle = base x height
Area of a Triangle = 1/2 x base x height
Base rectangle = 24 x 12 = 288
Rectangles that come to a point = 2(12 x 13) = 2(156) = 312
---There are two rectangles, which is why I multiplied the area by 2.
Triangles = 2(1/2 x 24 x 5) = 2(1/2 x 120) = 2(60) = 120
Surface Area = sum of all the areas of the faces
Surface Area = 288 + 312 + 120 = 720 in^2
Answer = 720 in^2
Hope this helps!
May you please do number 11. I don’t know how to do it.
Answer:
11.) 105 degrees
12.) 50 degrees
13.) 55 degrees
Step-by-step explanation:
11.) <EFG is a straight angle (180 degrees) so 180-75=105
12.) <FGC is a right angle (90 degrees) so subtract 40 and you get 50 degrees
13.) Sum of angles in a triangle is 180 degrees. Since we already know 2 angles, just subtract from 180. 180-75-50=55 degrees
The sixth-grade art students are making a mosaic using tiles in the shape of right triangles. each tile has leg measures of 5 cm and 6 cm. if there are
150 tiles in the mosaic, what is the area of the mosaic?
a 10 cm2
b 2250 cm 2
c 165 cm2
d 4500 cm2
Answer:
Below in bold.
Step-by-step explanation:
The area of each triangle = 1/2 * height * base
As it is a right triangle the height is equal to one of its sides, so
Area of 1 triangle = 1/2 * 6 * 5
= 15 cm^2
Area of mosaic = 150 * 15
= 2250cm^2.
Is (-6, -7) a solution to this system of equations?
y = 4x + 9
y = 2x + 5
Yes or no
Answer:
The answer is no
*View the attached graph to check your answer graphically.*
Step-by-step explanation:
y = 4x + 9
y = 2x + 5
For this problem, I will be using substitution, since the both equations are already in the slope-intercept form, and it's a little easier than the elimination method.
First, I will substitute the first equation, for y, into the second equation:
y = 4x + 9
y = 2x + 5
4x + 9 = 2x + 5
Next, subtract 2x from both sides to isolate x:
4x + 9 = 2x + 5
-2x -2x
2x + 9 = 5
Then, subtract 9 from both sides:
2x + 9 = 5
- 9 - 9
2x = -4
Now, divide both sides by 2:
2x = -4
/2 /2
x = -2
Now, we find the value of y, by substituting -2 for x:
y = 2x + 5
y = 2(-2) + 5
y = -4 + 5
y = 1
(x, y) ==> (-2, 1)
Check your answer using (-2, 1):
y = 2x + 5
1 = 2(-2) + 5
1 = -4 + 5
1 = 1
This statment is correct
y = 4x + 9
1 = 4(-2) + 9
1 = -8 + 9
1 = 1
This statment is also correct
Check your answer using (-6, -7):
y = 2x + 5
-7 = 2(-6) + 5
-7 = -12 + 5
-7 = -7
This statment is correct
y = 4x + 9
-7 = 4(-6) + 9
-7 = -24 + 9
-7 = -15
This statment is NOT correct
Therefore, no (-6,-7) is NOT a solution to this system of equations.
*View the attached graph to check your answer graphically.*
Hope this helps!
Answer:
no
Step-by-step explanation:
AABC ~ AQRS
Find the missing side length, n.
R
B
6
n
U
2
c
5
s
n = [?]
Enter
Answer:
n = 15
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{RS}{BC}[/tex] = [tex]\frac{QS}{AC}[/tex] ( substitute values )
[tex]\frac{n}{6}[/tex] = [tex]\frac{5}{2}[/tex] ( cross- multiply )
2n = 30 ( divide both sides by 2 )
n = 15
Helppppppppppppppppppp
Answer:
8/27
Step-by-step explanation:
It says to use V=s^3.
s is the the side length of the cube which is 2/3 in this case.
So to get your answer you have to do: (2/3)^3 or 2/3 x 2/3 x 2/3.
Use an equation to solve.
What is 60% of 400?
Answer:
240 :)
Step-by-step explanation:
400 x 0.60 = 240
Have a great day!
Please rate and mark brainliest!!
Answer:
240
Step-by-step explanation:
Math-Convert the following units.Write your answer on a separate sheet of ppaper
1.230.000 sq cm=_____sq m
2.400 000 sq cm= ____ sq m
3.60 000 sq cm= ____ sq m
4.15 sq m=______sq cm
5.120 sq m=______ sq cm
6. 16 sq m = ______ sq cm
The conversion of area units results in:
230 000 cm²= 23 m²400 000 cm²= 40 m²60 000 cm²= 6 m²15 m²= 150 000 cm²120 m²= 1 200 000 cm²16 m² = 160 000 cm²Unit Conversions for Area
For converting units of area, it is necessary to know the conversion factors and relate the units. For the units of area, each unit is 100 times larger than the previous. See below the relationship between the meter and the other units
1km²=1 000 000 m²=[tex]10^6[/tex] m²
1 hm²= 10 000 m²= [tex]10^4[/tex] m²
1 dam²=100 m²= 10² m²
1 m² =1 m²= 1 m²
1 dm²=0.01 m²= [tex]10^{-2}[/tex] m²
1 mm²=0.000001 m²= [tex]10^{-6}[/tex] m²
Now, you have the necessary information for converting the units.
230.000 sq cm=_____sq m[tex]1 cm^2 =10^{-4}m^2\\ 230000= x\\ \\ x= 230000 * 10^{-4}\\ \\ x=23 \;m^2[/tex]
400.000 sq cm= ____ sq m[tex]1 cm^2 =10^{-4}m^2\\ 400000= x\\ \\ x= 400000* 10^{-4}\\ \\ x=40\;m^2[/tex]
60000 sq cm= ____ sq m[tex]1 cm^2 =10^{-4}m^2\\ 60000= x\\ \\ x= 60000* 10^{-4}\\ \\ x=6\;m^2[/tex]
15 sq m=______sq cm[tex]1 cm^2 =10^{-4}m^2\\ x= 15 \\ \\ 10^{-4}x= 15\\ \\ x=15*10^4\\ \\x= 150\;000\;cm^2[/tex]
120 sq m=______sq cm[tex]1 cm^2 =10^{-4}m^2\\ x= 120\\ \\ 10^{-4}x= 120\\ \\ x=120*10^4\\ \\x= 1\;200\;000\;cm^2[/tex]
16 sq m=______sq cm[tex]1 cm^2 =10^{-4}m^2\\ x= 16\\ \\ 10^{-4}x= 16\\ \\ x=16*10^4\\ \\x= 160\;000\;cm^2[/tex]
Read more about the area here:
https://brainly.com/question/3402810
The area of a room is 26.025 m sqaure. If its length is 12.5m . find the breadth of the room
Answer:
2.082.
Step-by-step explanation:
Solution,
Given,
Area ( A ) = 26.025 m².
Length ( L ) = 12.5 m.
Now,
Breadth ( B ) = Area ÷ Length.
= 26.025 ÷ 12.5
= 2.082.
Thus, The breadth of the room is 2.082 m.
A yurt, or circular tent, has a radius of 3 meters.
What is the area of the floor of the yurt?
Use 3.14 for π.
Enter your answer as a decimal in the box.
Answer:
area of yurt: 28.26 m²
formula:
area of circle: π * radius * radius
area of circle: πr²solving steps:
(3.14)(3)²
28.26 m²
Answer:
Radius of the circular tent (r) = 3 m
Area of the floor = Area of circle = π r²/π =3.14
Area of the floor = 3.14 x 3² = 28.26 m²
Step-by-step explanation:
# Jerry Don is here#
The Great Pyramid at Giza is a square-based pyramid with height 146 meters and a base that measures 230 meters on each side. What is the volume of the pyramid, in cubic meters?
Round your answer to the nearest cubic meter.
Answer:
The Volume of the Great pyramid will be "2586810 m³". A further solution is provided below.
Given:
Sides of length,
[tex]s = 230m[/tex]
Height,
[tex]h = 146.7m[/tex]
According to the formula,
The Volume (V) will be:
[tex]= \frac{1}{3} s^{2} h[/tex]
By substituting the values, we get
[tex]= \frac{1}{3} (230)^{2} * 146.7[/tex]
[tex]= \frac{1}{3} *520900 *146.7[/tex]
[tex]=\frac{1}{3} * 7760430[/tex]
[tex]= \frac{7760430}{3}[/tex]
[tex]= 2586810m^{3}[/tex]
Thus the above is the correct solution.
Learn more about the volume of pyramid here:
brainly.com/question/15923072
How to get x and what the answer is.
sum of interior angle =n-2(180)
n is the number angles
5-2(180)
3(180)
=540
x=102+116+123+88=429
540-429=111
x=111