Answer:
Use 1 cup sugar to make 2 dozen (24) cookies.
Step-by-step explanation:
Recall that 1 dozen = 12 pieces
Write and solve an equation of ratios: # of cookies on one side and # of cups of sugar on the other side:
18 cookies (3/4) cup sugar
--------------------- = ------------------------
24 cookies x
Cross-multiplying results in:
18x = 18, so that x must be 1.
Use 1 cup sugar to make 2 dozen (24) cookies.
7×(4+8)=(_ ×4)+(7 ×8)
What makes the number sentence true
A. 1
B. 3
C. 7
D. 8
E. 12
Answer:
C: 7
Step-by-step explanation:
It is C because 7(4+8) is 84 and 7*8 is 56 now 84-56 is 28 so x*4 is 28 so 28/4 is equal to 7. I hope I've helped. If you need further explanation please comment below.
Polygon ABCDE rotates 52º about the origin to create polygon
A′B′C′D′E′. If m< BCD = 31º, what is m< B' C' D' ?
Answer:
31°
Step-by-step explanation:
Rotations about the origin are rigid transformations, meaning that they preserve segment length and angle measure. Therefore, since ∠BCD and ∠B'C'D' are corresponding angles, we know that m∠BCD ≅ m∠B'C'D' = 31°.
Answer:
Sample answer for Edmentum and Plato
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A right rectangular prism has a length of 10 centimeters a width of 2.5 centimeters and a height of 0.9 centimeters what is the volume of the rectangular prism
Answer:
22.5
Step-by-step explanation:
22.5 Cubic centimeters is the volume of the rectangular prism.
What is volume?Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.
Given, A right rectangular prism has a length of 10 centimeters a width of 2.5 centimeters and a height of 0.9 centimeters
From the general formula of Volume of rectangular prism:
Volume = length * width * height
In our case,
Length = 10 cm
width = 2.5 cm
and height = 0.9 cm
thus, Volume = 10 * 2.5 * 0.9
Volume = 22.5
Therefore, the volume of the given rectangular prism is 22.5 Cubic centimeters.
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Anthony bought 3.4 pounds of Halloween candy that cost $6.95 a pound. How much money did he spend on candy?
Answer:
23.63
Step-by-step explanation:
3.4 x 6.95
A new car costs the purchase price, plus a 7.5% tax. The cost of the car can be written as x + 0.075x. Write an equivalent expression to show the cost of the car.
Answer:
Step-by-step explanation:
The cost = x * (1 + 0.075) = x * 1.075 = 1.075*x
Find the midpoint of the segment with the following endpoints.
(-3,5) and (0, -1)
Answer: (-1.5,3)
Step-by-step explanation:To calculate it midpoint: Add both "x" coordinates, divide by 2. Add both "y" coordinates, divide by 2.
5
4
B
F
с
2.2
63°
22
630
2
D
Name the congruent triangles and justify the reason for congruence.
OLABC AFDE by SAS
ODABC AFDE by HL
O AABC AFED by SSS
O AABC to AFED by ASA
Answer:
Option A
..............................................................
ΔABC ≅ ΔFDE by SAS congruence rule.
The correct option is (1).
What are congruent triangles?Congruence is a phrase used frequently in mathematics to refer to a harmonious connection, comprehension, or correlation. A geometric figure is said to be congruent or to be in the relation of congruence if it is feasible to superimpose it on another so that their whole surfaces match. Two triangles are said to be congruent when two sides and their included angles in one triangle are equal to two sides and their included angles in the other.
As per the given data:
In ΔABC :
∠A = 63°
AC = 2.2
In ΔFED :
∠F = 63°
FE = 2.2
By using the distance formula, we can find AB and FD.
From the coordinates, as we can see in the diagram
FD = [tex]\sqrt{(1 - 1)^2 + (4 - 2)^2}[/tex]
= 2 units
Similarly,
AB = [tex]\sqrt{(5 - 5)^2 + (1 - 3)^2}[/tex]
= 2 units
Now from SAS congruence rule:
AB = FD (Both are 2 units)
∠A = ∠F (given)
AC = FE (given)
Hence, ΔABC ≅ ΔFDE by SAS congruence rule.
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A student brings a bag of candy to share with the class. The bag of candy can be equally split among 4, 5, or 6 students with each receiving the same number of candies. Which of the following represents the smallest possible number of candies in the bag?
Select one:
A. 6
B. 30
C. 60
D. 90
E. 120
Answer: C. 60
Step-by-step explanation:
In this situation, they are asking the least common multiple of 4,5, and 6.
Find the LCM of the numbers or the multiples of the numbers.
Multiples of 4 are 4, 8, 12,16, 20, 24,28,32,36, 40, 44,48,52,56,60.
Multiples of 5 are 5, 10,15,20,25,30,35,40,45,50,55,60.
Multiples of 6 are 6,12,18,24,30,36, 42, 48, 54, 60,
As we can see in their multiples, they do not share the multiple 6 or 30 .
But they all share the number 60 which means that 60 is the least possilbe number of candies in the bag.
Note that is can go on to be 90 or 120 but they are not the smallest ones.
Planet Distance from sun (in km) Distance in scientific notation
Mercury 57,909,000 10^7
Venus 67,240,000 10^7
Earth 92,960,000 10^7
Mars 141,600,000 10^8
Jupiter 483,800,000 10^8
Saturn 890,700,000 10^8
Uranus 1,784,000,000 10^9
Neptune 2,793,000,000 10^9
Part 2
Convert each of the distances that you have recorded into scientific notation. List these on your chart for this assignment.
(50 points)
Answer:
1.5.7909 2. 6.724 3. 9.296 4. 1.416 5. 4.838 6. 1.784 7. 2.793 8. 2.793
Step-by-step explanation: these are the planets in order hope this helps
The converted distances in scientific notation are [tex]5.7909 * 10^{14}[/tex],[tex]6.724 * 10^{ 14}[/tex], [tex]9.296 * 10^{14}[/tex], [tex]1.416 * 10^{16}[/tex], [tex]4.838 * 10^{16}[/tex], [tex]8.907 * 10^{16}[/tex], [tex]1.784 * 10^{18}[/tex] and [tex]2.793 * 10^{18}[/tex].
What is scientific notation?Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.
The scientific notation have two parts i.e. a appropriate number multiplied by an appropriate power.
Converted distances in scientific notation are;
Mercury [tex]= 5.7909 * 10^{14}[/tex]
Venus [tex]= 6.724 * 10^{ 14}[/tex]
Earth [tex]= 9.296 * 10^{14}[/tex]
Mars [tex]= 1.416 * 10^{16}[/tex]
Jupiter [tex]= 4.838 * 10^{16}[/tex]
Saturn [tex]= 8.907 * 10^{16}[/tex]
Uranus [tex]= 1.784 * 10^{18}[/tex]
Neptune [tex]= 2.793 * 10^{18}[/tex]
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percentage round to 2 decimal "Office and administrative support occupations"; how much more do men earn over females in the same occupation? (Example if a man earned $1200 and a female $1000 than a man earns $200 more. Stated as a percentage a man earns 20% more. ($200/$1000 = 20%).
Answer:
Ok, suppose that a man earns X, and a woman earns Y.
if X is larger than Y, then:
((X - Y)/Y)*100% is the percentage by which the man earns more than the woman. (where Y represents the 100%)
Replacing the given values, we can see that:
X = $1200
Y = $1000
(($1200 - $1000)/$1000)*100% = ($200/$1200)*100% = 0.20*100% = 20%.
If you want the expression only in decimals then you need to ignore the 100% in the equation, and you will have:
(X - Y)/Y
($1200 - $1000)/$1000 = 0.20
This would work for any given values of X and Y.
Other way to see this is:
If the man earns X and the woman Y, then we can see at the quotient:
X/Y
For the previous values we have:
$1200/$1000 = 1.2
This means that the man earns 1.2 times what the woman earns.
If we multiply that by 100%, we have:
1.2*100% = 120%
So the man earns the 120%, which is the 100% that earns the woman plus a 20%, that is what we found before.
3 Write an expression for each statement
a To find 49 times 73. I multiply 73 times 50 and take off one group of 73.
b To find 15 times 16, I double 15 and halve 16 and then multiply
Answer: kindly check explanation
Step-by-step explanation:
Given the following statements :
A.) To find 49 times 73. I multiply 73 times 50 and take off one group of 73
To obtain the product of (49 and 73)
(73 * 50) - 73
3650 - 73
= 3577
B.) To find 15 times 16, I double 15 and halve 16 and then multiply
Double 15 = (15 * 2) = 30
Halve 16 = (16 / 2) = 8 ;
Then multiply:
(30 * 8) = 240
Similarly ;
(15 × 2) × (16 / 2) = 240
Please help me ASAP easy problem giving brainlist!!
Answer:
the answer is b
Step-by-step explanation:
you will see a double sign inequality when your circle on the number line is shaded in. since the line is going to the left x is less than -1
Stefan has 4 1/2 cups of oats. He uses 3 ¼ cups to make granola bars for
a camping trip. He saves the rest of the oats to feed to his parrot, Coco. If
Coco needs 1/4 of a cup of oats each day, how many days can Stefan feed
Coco with the oats he has left? Write your answer simplified fraction.
Answer:
5 days
hope it helps you
Answer:
5
Step-by-step explanation:
The sum of two numbers is 133. The difference is 49.
Answer:
The 2 numbers are 42 and 91.
Step-by-step explanation:
Let one number be x, then the other is 133-x.
So as the difference is 49 we have:
133 - x - x = 49
-2x = 49 - 133
-2x = -84
x = -84/-2 = 42.
The numbers are 42 and 133 - 42 = 91.
Answer:
let the numbers be x and y.
x+y=133......(i)
x-y=49.......(ii)
solving eqn (i) and (ii) we get,
x+y=133
x-y=49
we solved it through elimination method.
Here, y and y cancelled out so, we've,
or, 2x=182
so, x=91
now putting value of x in any of the eqn.
in eqn(i)
or, x+y=133
or, 91+y=133
or, y=133-91
so, y=42
Therefore, the two numbers are 91 and 42.
Thank you.
What is the answer to.. 3z + 2 = 8z − 8
Answer:
2
Step-by-step explanation:
3z +2=8z - 8
3z - 8z =-8 - 2
-5z=-10 /×(-1)
5z =10
z=10 :5
z=2
Solve for w.
-9w-6+7w=16
Answer: w = - 11
Step-by-step explanation:
Combine the like terms. -2w - 6 = 16.Add 6 on both sides. -2w = 22Divide by -2 on both sides. w = - 11Question 3 (lesson 9 #6)
Select ALL the polynomial functions whose graphs have x-intercepts at X=
4, -1/4,-2
I
A. (x+4)(4x-1)(x-2)
B. (x-4)(4x+1)(x+2)
C. (x-4) (4x-1)(x-2)
D. (x+4)(4x+1)(x+2)
E. (2x+4)(4x-1)(x-2)
F. (4x-16)(4x+1)(x+2)
Answer: B and F
Step-by-step explanation:
B. (x-4)(4x+1)(x+2)
F. (4x-16)(4x+1)(x+2)
It is always the opposite of what the x intercepts are. So 1 would be -1/4. 2 would be -2 and so one.
The polynomial functions whose x - intercepts are x = 4, -1/4, -2 are -
(x - 4)(4x + 1)(x + 2)
(4x - 16)(4x + 1)(x + 2)
What are polynomial functions?
A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.
Given are the polynomial functions whose graphs have x-intercepts at
x = 4, -1/4, -2.
If x = 4, -1/4, -2 represent the x - intercepts of the polynomial functions, than we can say that -
(x - 4) , (x + 1/4) or (4x + 1) , (x + 2) are the factors of the polynomial function.
From the given options, we can see that if we find the x - intercepts of the functions -
(x - 4)(4x + 1)(x + 2)
(x - 4) = 0 or (4x + 1) = 0 or (x + 2) = 0
x = 4, -1/4, -2
and
(4x - 16)(4x + 1)(x + 2)
(4x - 16) = 0 or (4x + 1) = 0 or (x + 2) = 0
x = 4, -1/4, -2
Therefore, the polynomial functions whose x - intercepts are x = 4, -1/4, -2 are -
(x - 4)(4x + 1)(x + 2)
(4x - 16)(4x + 1)(x + 2)
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what is 4/10 plus 5/100?
Answer:
0.45
Step-by-step explanation:
4/10 is 0.4
and
5/100 is 0.05
What is 40 times -83?
Answer:
-3320
Step-by-step explanation:
Positive times negative multiplication will end with the final product being negative, we can just use normal multiplication and convert the end product to integers
Answer:
-3320
Step-by-step explanation:
You do 40 times negative when you multiply a negative to a posotive it will be a negative so do the the math and bam! :)
Is it true that, the opposite of zero is zero.
Answer:
It is neutral.so I think it is true
Step-by-step explanation:
It is neutral
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
Yes the opposite of zero is zero because zero is the only number that isn't positive or negative it's neutral.
Solve the following equation, and check your solution. Be sure to show all work, please :)
Solve 24 - 3x = -27.
Answer:
x=17
Step-by-step explanation:
hope it helps
4w+8=6(w-1)-2w
What is w?
Answer:
No solutions.
Step-by-step explanation:
First, simplify and combine all like terms.
4w + 8 = 4w - 6
Now, subtract 4w from both sides and add 6 to both sides.
You get:
14 = 0
This is not true, therefore this equation has no solutions.
!!PLEASE HELP!!
f(x)=3x^3 −2x^2+4x−5
g( x )= 6x− 7
Find (f+g)(x).
Answer:
fx+gx=3x^3-2x^2+10x-12
Step-by-step explanation:
The value of the (f + g)(x) will be (f + g)(x) = 3x³ − 2x² + 10x − 12.
What is a function?Functions are found all across mathematics and are required for the creation of complex relationships.
The functions are given below.
f(x) = 3x³ − 2x² + 4x − 5
g(x) = 6x − 7
Then the value of the (f + g)(x) will be
(f + g)(x) = f(x) + g(x)
(f + g)(x) = 3x³ − 2x² + 4x − 5 + 6x − 7
(f + g)(x) = 3x³ − 2x² + 10x − 12
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a(b + c) + b (c - a) + 3c
Step-by-step explanation:
a(b+c) +b(c-a) +3c
ab+ac+bc-ab+3c
ac+bc+3c
Al invests $250 in a savings account that earns 2.5% simple interest annually. If he does NOT make any additional deposits or withdrawals, how much money will be in the savings account after 2 years?
Answer: Interest= PRT/100
= 250×2.5×2/100
=$2
Amount= Principal+ Interest
= $250+$2
=$ 252( Investment at the end of the period)
Step-by-step explanation: Hope this helps.
given h(x) = x + 4 find h(-4) + 2.
Answer:
2
Step-by-step explanation:
First, find h(-4) by plugging in -4 as x in the function:
h(x) = x + 4
h(-4) = -4 + 4
h(-4) = 0
Then, add 2 to this:
0 + 2
= 2
So, h(-4) + 2 = 2
Someone please help me with this, right answers only please!!
Answer:
g(6) = 71
f(11) = 62
Step-by-step explanation:
Let's solve g(6) first
Plug 6 into x
g(6) = 2(6)^2 - 1
g(6) = 2(36) - 1
g(6) = 72 - 1
g(6) = 71
Now let's solve f(11)
f(11) = 5(11) + 7
f(11) = 55 + 7
f(11) = 62
Thus, out answers are 71 and 62 respectively
Maggie is looking into joining a gym, She went to Axiom Fitness and to Gold's Gym, and they are offering membership plans that work like this:
Axiom: $25 sign-up fee and $30 per month
Gold's: $75 sign-up fee and $25 per month
After how many months will the cost for each gym membership be the same?
Which one will be cheapest in the first few months of membership?
Which one will be the cheapest in the long run?
I need help ASAP it’s due today it would mean a lot if you helped me. I really appreciate it .
Answer:
1. 5 planes
2. Only one plane
3. Points E,F,C
4. Anywhere on the line of EC (this is not the only answer, but it's correct)
5. Point E
6. Points A, B, C, D are coplanar.
7. Points A, B, C are coplanar, but Points A,B,C,F are not coplanar.
8. Line AB
Explanation:
1. Counting one plane for every facebof the pyramid. The base of the pyramid is the same as Plane N, so we don't include it because it is the same plane.
2. Only one plane can contain the same three unique points.
3. Collinear means they are on the same line.
4. Collinear means they are on the same line.
5. Coplanar means they are on the same plane.
6. Coplanar means they are on the same plane.
7. This one is better explained visually. You can ask me if it doesn't make sense to you though.
8. This one is better explained visually. You can ask me if it doesn't make sense to you though.
I will update this soon
Which table represents the graph below?