Answer:
25 grams
Step-by-step explanation:
Pennies made after 1984 weigh 2.5 grams. How much would 10 pennies weigh?
From the above question:
1 penny = 2.5 grams
10 pennies = x grams
Cross Multiply
1 × x grams = 10 pennies × 2.5 grams
x grams = 25 grams.
Hence, the weight of 10 pennies is 25 grams
One of the Great Pyramids in Egypt has the shape of a square pyramid with the base length of 20 feet, and the height of 150 feet tall. If the stones that were used to build the pyramid had a volume of 40 cubic feet each, how many stones did the Egyptians need to build the pyramid?
Answer:
500
Step-by-step explanation:
Given that:
Shape of one of the Great Pyramids in Egypt is a square pyramid.
Base of pyramid is of square shape with length = 20 feet
Height of pyramid = 150 feet
Volume of each stone used for the construction of the pyramid = 40 cubic feet
To find:
Number of stones used for the construction of the pyramid.
Solution:
First, we need to find the volume of the square pyramid and then we need to divide the volume of pyramid with the volume of one stone used for the construction.
It will give us the number of stones used for the construction of pyramid.
Volume of a pyramid is given as:
[tex]V = \dfrac{1}{3}\times \text{Area of base}\times Height[/tex]
Here, base is a square, so area of base = [tex](Side)^2[/tex]
[tex]V = \dfrac{1}{3}\times 20^2\times 150 = 400\times 50 ft^3[/tex]
Number of stones of 40 cubic feet each, required = [tex]\frac{400\times 50}{40}[/tex] = 500
-4(a-12) help me because I am really confused
Answer:
-4a+48
Step-by-step explanation:
Using the distributive property, you would multiply -4 with the values inside the brackets, which are a and -12.
-4*a + (-4*(-12))
= -4a+(48)
= -4a+48
Hope this helps!
Answer:
-4a+48
Step-by-step explanation:
Multiply -4 to a and -12
-4a+48
How many solutions does the system of equations below have?
y = 3x + 4
y + 6 = 3x
Answer:
0 / no solutions
Step-by-step explanation:
Rewrite both in terms to the form y = equation.
EQ1: y = 3x + 4 (already in correct form)
EQ2: y = 3x - 6 (subtracting 6 from both sides).
Now suppose there is an intersection, then:
3x + 4 = 3x - 6, subtracting 3x from both sides gives:
4 = -6, which is a contradiction!
Therefore there are 0 / no solutions
What's 4/5 as a percentage?
Answer:
80%
Step-by-step explanation:
% is out of 100 so make the denominator of 4/5 to be 100:
4/5 times 20/20 = 80/100 = 80%
Answer:
80%
Step-by-step explanation:
4 divided by 5 equal .8
.8 x 100 equals 80
It's multiplied by 100 because usually percentages are out of 100.
OR
You can move the decimal in .8 to 2 space to the right
PLEASE HELP AND SHOW WORK IF YOU CAN
Answer:
c) XY > RS
= true
Step-by-step explanation:
Firstly know the meaning of each sign given
> means is greater than
= means is equal to
a)XZ > ST
XZ = 8
ST = 11 - greater
= false
b) XY = RS
Due to the angles presented, we conclude that the greater the angle, the longer the unmeasured line.
XY is longer than RS
= false
c) XY > RS
= true
d) RS > XY
RS is shorter than XY hence not greater.
= false
Luna entered a raffle for a new pair of running shoes. She purchased 20 tickets and was told that she had a 20% chance of winning. How many tickets were sold? P (Luna winning) = StartFraction Number of tickets purchased over Total number of tickets sold EndFraction. 20 percent = StartFraction 20 over x EndFraction. One-fifth = StartFraction 20 over x EndFraction. x = tickets
Answer:
100 ticketsStep-by-step explanation:
Probability of winning = amount of tickets purchased/Total number of tickets
20% = 20/total number of tickets
20/100 = 20/total number of tickets
cross multiply
20 * total number of tickets = 20 * 100
20 * total number of tickets = 100
total number of tickets sold = 100 tickets
Answer:
100 tickets
Step-by-step explanation:
Hi and goodbye
The bake sale sold pies for $5.99 each and cakes for $9.99 each. The total number of pies and cakes sold was 25 for $189.75.
Answer:
profit 40 dollars
Step-by-step explanation:
An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared + b x + c. Consider the trinomial 6x2 + 13x + 6. The value of ac is . The value of b is . The two numbers that have a product of ac and a sum of b are 4 and .
Answer:
1. ac = 36
2. b = 13
3. 4 and 9
Step-by-step explanation:
Given
6x² + 13x + 6
Required
Fill in the gaps
Solving (1): The value of AC
The general form of an equation is:
ax² + bx + c
By comparison:
a = 6
b = 13
c = 6
So,
ac = a * c
ac = 6 * 6
ac = 36
Solving (2): The value of b
In (1) above, we showed that
b = 13
Solving (3): Two numbers that satisfy product ac and sum b
We have that.
ac = 36
If one of the numbers is 4, then the other number is
Other number = 36/4
Other number = 9
Alternatively, we have that.
b = 13
If one of the numbers is 4, then the other number would be:
Other number = 13 - 4
Other number = 9
Answer:
ac = 36
b = 13
The two numbers that have a product of ac and a sum of b are 4 and 9
Step-by-step explanation:
Which equations and/or functions represent the graphed line? Select three options.
f(x)=1/5x-4
f(x)=1/2x+2
f(x)=1/2+1
y-3=1/2(x-2)
y-1=1/2(x+2)
Answer:
The second one, the fourth one, and the fifth one.
f(x)=(1/2)x+2
y-3=1/2(x-2)
y-1=1/2(x+2)
The three equations that represent the graphed line are:
f(x) = (1/2)x + 2
y - 1 = (1/2)(x + 2)
y - 3 = (1/2)(x - 2)
To identify which equations and/or functions represent the graphed line, we can compare the given equations with the characteristics of the graph.
The graphed line appears to have a slope of 1/2 and passes through the point (0, 1). Let's check the options:
f(x) = (1/5)x - 4: This equation has a slope of 1/5, not 1/2, so it does not represent the graphed line.
f(x) = (1/2)x + 2: This equation has the correct slope of 1/2, but it does not pass through the point (0, 1), so it does not represent the graphed line.
f(x) = (1/2) + 1: This equation is not in slope-intercept form and does not represent the graphed line.
y - 3 = (1/2)(x - 2): This equation has the correct slope of 1/2 and passes through the point (2, 3). However, it does not pass through the point (0, 1), so it does not represent the graphed line.
y - 1 = (1/2)(x + 2): This equation has the correct slope of 1/2 and passes through the point (−2, 1) (after rearranging to slope-intercept form). It also passes through the point (0, 1), which matches the graph.
The three equations that represent the graphed line are:
f(x) = (1/2)x + 2
y - 1 = (1/2)(x + 2)
y - 3 = (1/2)(x - 2)
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Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-2 ,1) ; M= 5
Answer:
y-1=5(x+2)
Step-by-step explanation:
Point-slope form is y-y₁=m(x-x₁)
1 is y₁ so we would fill the first half as "y-1"
We know that m=5, so we can just put it in where m goes.
So far, we are at y-1=5
-2 is x₁ but since it's a negative, and we are also using subtraction, we must cancel it and turn it into a positive. So, we would write (x+2)
The final equation is y-1=5(x+2)
{Stop scrolling} this is not a question but I just wanted you to know that you are doing absolutely amazing and I am extremely proud of you:) Ik school can be stressful but just know that you got this loves <3
I love u ♥️
Answer:
Ty :D
Step-by-step explanation:
School is hard
Eliot needs to replace a window that is in the shape of a
semicircle.
K 1.5 ft
>
What is the area of the window? Use 3.14 for 1. Round your
answer to the nearest hundredth of a square foot.
353.25
a=(3.14*15^2)/2
a=706.5/2
a=353 sq in
A train traveling at 37 M.P.H. had its speed increased by 22 ft. per sec.
If 88 ft./sec. = 60 M.P.H., then the train is now traveling at M.P.H.
Answer:
52 mph
Step-by-step explanation:
If 88 ft/sec = 60 mph
The 22 ft/ sec is 60/4 = 15 mph
This is so because 88/22 is 4
So we simply proceed to add this to the previous speed in mph
That gives a total of 15 + 37 = 52 mph
please help and answer this question
Answer:
-2x+9
This is the answer you are looking for
YOUR WELCOME! :D
use the diagram below to find the lengths of the following answer question 18-25. Be sure to include all necessary work. Leave your answer in the simplest radical form when necessary.
Answer:
18. AE = 6
19. BG = 6
20. CF = 5
21. GF = 2
22. CE = 3
23. AC = 3·√5
24. A_F = 10
25. DA = 3·(√5 - 1)
Step-by-step explanation:
Whereby the point C is the center of the circle, we have;
CB = CG = CE = 3 = The radius of the circle with center at C
CE = 3
CF = √(4² + 3²) = 5 by Pythagoras' theorem
CF = 5
GF = CF - CG = 5 - 3 = 2
GF = 2
BG = CB + CG = 3 + 3 = 6
BG = 6
Whereby, BC is a tangent to the circle with center, C, we have;
A_F = √(8² + 6²) = 10 by Pythagoras' theorem
A_F = 10
AE = A_F - EF = 10 - 4 = 6
AE = 6
AC = √(6² + 3²) = 3·√5 by Pythagoras' theorem
AC = 3·√5
DA = AC - CD = 3·√5 - 3 = 3·(√5 - 1)
DA = 3·(√5 - 1).
what percent of students have played an instrument for 3 years ?
(round tenths)
please help
Answer:
%22.2
Step-by-step explanation:
what is 3/4 divided by 1/2
What is the x intercept of the graph of 3x-y+6=0
Answer: It would be 2,0 :) Please tell me if I'm wrong
Step-by-step explanation:
What is the answer to -9 = 2/7x + 5
Answer: x = -49
Step-by-step explanation:
hope this helped
Help!! Please and thank you
Answer:
110.9 cm³Step-by-step explanation:
[tex]V=\frac13\cdot A_b\cdot H[/tex]
[tex]A_b[/tex] - Base Area
H - Height of the pyramid
Base is regular triangle: [tex]A_b=\dfrac{8^2\sqrt3}4[/tex]
The volume:
[tex]V=\dfrac13\times \dfrac{8^2\sqrt3}4\times 12=64\sqrt3\approx110.9[/tex]
Sarah’s job at a cellphone store pays 6% commission on the sales she makes. She also makes $1400 base pay. What will Sarah’s total paycheck be if she had $4000 in sales?
Answer:
255
Step-by-step explanation:
31q=7.037 what is the value of q??
Answer:
0.227
Step-by-step explanation:
q=7.037/31
q=0.227
Wich of the following appear in the diagram below NEED ANSWER QUICK
The A, the C and the D because we have the vectors YX and YW which start from Y and the angle XYZ because the angle is around Y
What is the definition of the average rate of change?
Answer: basically rate of change is the rate either slow or fast the thing could be anything changes
Step-by-step explanation:
so i was soooooooo confused on that same thing when i studied it
Step-by-step explanation:
there is the thing Google a said
Plz help fast answer
Answer:
1: Patriotic
2: Global
3: Graphic
4:heroic
5: betrayel
6:angelic
7: dramatic
8: bacterial
Step-by-step explanation:
I think this is it
how do we find the place value of 3a + b given that a=4, b=3, and c=-2
Answer:
3a+b
3(4)+3
12+3
15
Step-by-step explanation:
You substitute the variables with the given numbers. I think this is correct.
What are the x intercept and y intercept of the graph of 5x+8y=20
Answer:
x intercept: (4,0)
y intercept: (0,2 1/2)
Step-by-step explanation:
x intercept is (4, 0) and y intercept is (0,5/2) of the graph of 5x+8y=20
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
5x+8y=20
8y=-5x+20
Divide both sides by 8
y=-5/8x+20/8
y=-5/8x+5/2
Now put x=0 to find y intercept
y=5/2
Now put y=0 to find x intercept
-5/2=-5/8x
4=x
Hence, x intercept is (4, 0) and y intercept is (0,5/2).
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standard form for y=mx+b
Answer:
that's standard form for slope
Step-by-step explanation:
have a nice day :)
the sheep died yesterday why
Answer:
it just died because of natural causes haha
Step-by-step explanation:
Answer:
uhhh maybe because it got old or lack of care for they sheep or it got hunted ;-;
Step-by-step explanation:
Was I correct? I was having a bit of trouble on C and D :(
Answer:
You got A and D is right but C and B is switched
Step-by-step explanation:
The main thing is to first look at the y-intercept, C and B have different y-intercepts than the equation u gave them. So keep an eye out for that.