It is found that total 67 students voted for eagle.
Two ratios are set to be equal in an equation called a proportion.
Given students at Woodward elementary voted for a school mascot.
Falcon received 5/8 of the vote, winning the post.
Eagle turned up second with 1/3 of the remaining votes.
Total number of students voted for a mascot = 536
The total amount of votes falcon received = 5/8 × 536
= 67 × 5
= 335 votes
Subtract the votes received by falcon from the total number of votes.
= 536 ₋ 335
= 201
Now the remaining votes are 201, from the remaining votes eagle received 1/3 of it.
votes gained by eagle = 1/3 × 201
= 67
Therefore 67 students voted for the eagle.
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You have $175.29 in a savings account. You deposit an additional $48.75. How much more do you need to save to buy the cell phone?
Price: $249.99
Include the steps
Answer:
Step-by-step explanation:
So in your account you got $175.29
Then you deposit mean increase the amount of money in your account by $48.75
So: 175.29+48.75 = 224.04
The price is $249.99
So: 249.99 - 224.04 = $25.95
You need to save $25.95 in order to buy your cell phone
To buy the cellphone of worth $249.99, additional $25.95 are required.
What are mathematical operations?Calculate the answer using a math operator is referred to as a mathematical operation.
Basic mathematical operations are addition, multiplication, subtraction and division.
Given that,
The price of cellphone = $249.99
The amount in saving account = $175.29
Additional amount deposit in account = $48.75
Total amount in account after deposit = 175.29 + 48.75 = 224.04
Since, the price of cellphone is $249.99
And the amount in account = 224.04
So the more amount required = 249.99 - 224.04 = 25.95
To buy the cell phone $25.95 are required.
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Use the following information to find x. Write the value of the variable.
B is between A and C;
AB=3x+6;
BC=15x – 2; and
AB≅BC .
Answer:
2/3
Step-by-step explanation:
[tex]AB \cong BC \implies AB=BC \\ \\ 3x+6=15x-2 \\ \\ 6=12x-2 \\ \\ 8=12x \\ \\ x=\frac{2}{3}[/tex]
an insulated cooler holds 558 ounces of lemon how many full 12.4-ounces glasses of lemonae can be poured from the cooler
The number of glasses of lemonade that can be poured from the cooler is 45.
Given that, an insulated cooler holds 558 ounces of lemon.
We need to find how many full 12.4-ounces glasses of lemonade can be poured from the cooler.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, the number of glasses of lemonade = 558/12.4
=45
Hence, the number of glasses of lemonade that can be poured from the cooler is 45.
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If you can play the piano, then you can play a musical instrument. kiyo can play a musical instrument.
use the law of detachment to write a true statement. if the law of detachment can't be used, explain.
Law of Detachment can't be applied here.
What is Law of Detachment ?The Law of Detachment says that we must detach ourselves from the result or outcome in order to allow what we desire to materialize in the physical universe. When we have done our part, we must learn to let go of the outcome for things to materialize. And once we do let go, it's when things materialize.
Given:
If you can play the piano, then you can play a musical instrument.
kiyo can play a musical instrument.
So, as Kiyo can play a musical instrument, that does not necessary mean he can play a piano.
There could be any other musical instrumental, not only piano.
So, the hypothesis do not have to be true.
Hence, the condition is not fulfilled, Law of Detachment can't be applied here.
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Calculate the length of ac to 1 decimal place below
Answer:
18.11
Step-by-step explanation:
Look at the file I attached
I marked a new point E for explanation purposes.
to find out the length of AC, we need to find out the length of CD and the length of CD = length of BE.
To find out the length of BE, we need to know AE, and
AE is AD - BC
AE = 11 - 4
AE = 7
Now we have AE
Use the Pythagoras theorem to calculate BE
AE² + BE² = AB²
7² + BE² = 16²
16² - 7² = BE²
207 = BE²
√207 = BE
Since BE = CD
The length of CD is √207
Now use the Pythagoras theorem again
AD² + CD² = AC²
11² + (√207)² = AC²
121 + 207 = AC²
328 = AC²
√328 = AC
AC = 18.11
2. Use what you know about the properties of operations to rewrite the expression 7.4.1.5 = commutative
Natural number multiplication is commutative.
What are the properties of operations?Whole numbers can be multiplied together commutatively.Whole number multiplication is associative.Whole number division distributes over addition.The identity for multiplying whole numbers is 1, or 1.According to the commutative property, altering the order of the elements has no impact on the final result. Commutative's fundamental term is commute or exchange.According to the associative property, altering how the elements are grouped has no impact on the final output. Because humans frequently rearrange the groupings of elements while multiplying numbers to simplify issues, this characteristic strongly relates to the commutative property.We can basically spread out the elements thanks to the distributive principle, making it simpler to work with the numbers. When multiplying mentally, this is a common technique.Although multiplication properties might appear difficult, our students can surely master them with scaffolded help.The given number is commutative as -
7.4.1.5 = 5.1.4.7
The answer will always be same irrespective of the order in which it is multiplied
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Need help ASAP please !!!!
Answer:
The answer is D.
Step-by-step explanation:
A plot of land is in the shape of a triangle
If one side is x meters, a second side is
(2x - 4) meters and a third side is
(4x - 5) meters, express the perimeter of
the lot as a simplified expression in x.
Answer:
7x-9
Step-by-step explanation:
P=x+(2x-4)+(4x-5)
P= x+2x-4+4x-5
P =x+6x-9
P =7x-9
P is perimeter
28. RS = 7a, ST= 12a, RT=76
Answer:
a=4
ST=48
As we know ,
RT=RS+ST=7a+12a=19a
And RT=76
That’s why RT=19a=76 => a = 76/19=4
ST=12a=12*4=48
then we find ,
a=4
ST=48
In geometry, variables often appear in problems related to perimeter, area and volume. Typical problems provide you with some precise measurements and ask you to find out an unknown measurement, or variable.
Determine which formula you need. For example, if you're working with the area of a triangle, you need to know that area equals one half the base times the height, or A=1/2bh.
Plug the known values into the formula. Using the area of the triangle example, assume you know that the area is 100 square inches and the base is 20 inches. When you plug these values into the formula, you get 100=1/2 (20h). The height of the triangle is the variable.
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Joe moves a 10 kg weight 5 meters with a force of 50 N in 10 seconds. Leroy uses the same force to move the same weight the same distance in 7.5 seconds? Who has more power and why
Answer:
10 sec
Step-by-step explanation:
Lowest term for 6/32
Answer:3/16
Step-by-step explanation:
Simplify 6/32 in Lowest Terms
6/32 = (?)
6/32 = (2 x 3)/(2 x 2 x 2 x 2 x 2)
= 3/16
6/32 = 3/16
Writing Numerical Expressions
A numerical expression is a mathematical phrase that contains only numbers and mathematical operations. For example, 6+2+1 is a numerical
expression.
Some numerical expressions contain multiplication. Multiplication can be represented in several ways, including a raised dot or parentheses. Here are
some ways to represent the product of 2 and 3.
2.3
2(3)
Think About It!
Identify the factors of the numerical expression 6(11).
(2)3 (2)(3)
MO
6(11) = 2 x 3 x 11
Its factors are =1 ,2 ,3 , 6, 11, 22, 33 66
2.3 = 2 x 3
Its factors are = 1, 2, 3, 6
2( 3) = 2 x 3
Its factors are = 1, 2,3, 6
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"
Question
Normal
Shane earns $8 per hour babysitting and $6 per hour walking dogs. He also earns tips for each job. Last week Shane spent 2 more hours walking dogs than babysitting. He received $12 in tips for babysitting and
$10 in tips for dog-walking. Shane earned the same total amount for each job.
Write an equation to represent the situation. Use the variable h to represent the number of hours Shane spent babysitting
The equation to represent the situation is given as $2h -$10 = 0
We have been given that
Money earned by Shane for babysitting = $8 per hour
Money earned by Shane for walking dogs = $6 per hour
Let the number of hours spent by Shane be h hours
Tips she received for babysitting = $12
Tip she received for walking dogs = $10
Total amount earned by Shane for babysitting = $8*h + $12
Also Shane worked two more hours for walking dogs then the amount will be = 2*$6 = $12
Total amount earned by Shane for walking dogs = $6*h + $12 + $10
= $6h + $22
As she earned the same total amount of job the equation will be given as
$8h + $12 = $6h + $22
$2h -$10 = 0
Which is the required equation
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the perimeter of a rectangle is 260cm the length is 50 less than its width. find its dimensions
The dimensions of the rectangle is found as: (b = 90 cm) and (l = 40 cm
).
What is defined as the perimeter of the rectangle?The perimeter (P) of such a rectangle has been the total length of all of its sides. A rectangle does have two equal lengths as well as two equal widths because its opposite sides are equal. The perimeter of a rectangle is calculated as follows: perimeter = length + length + width + widthLet 'l' be the length of the rectangle.
Let 'b' be the width of the rectangle.
then,
Perimeter = 2(l + b)
The given value of the perimeter = 260 cm.
The length is 50 less than the width.
Thus, l = b - 50.
Put the values in the formula;
260 = 2( b - 50 + b)
Simplify the equation;
260 = 4b - 100
4b = 360
b = 90 cm
Put the value of b in the length;
l = b - 50
l = 90 - 50
l = 40 cm
The dimension are estimated as; (l = 40 cm) and (b = 90 cm).
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Tutorial D
If x = 0 and y < 0, where is the point (x, y)
located?
◄))
on the x-axis
on the y-axis
EASY POINTS PLEASE HELP if you can answer bother that would be nice but u can answer one if u want
Answer:
#9: B
#10: D
Step-by-step explanation:
#9 had biggest scientific notaiton
#10 had smallet scientific notaiton and numbeer
Answer:
9. B
10. D
Step-by-step explanation:
a. 5406000000
b. 56040000000
c. 550400000
d. 6503000000
a. 900000
b. 120000
c. 3010000000
d. 19010
What is the value of y in the solution to the system of equations?
1/3x+ 1/4y=1
2x - 3y = -30
-8
-3
0 3
O 8
Answer:
y=8,x=-3
Step-by-step explanation:
1/3×+1/4y=1
lcm=12
multiply through by lcm to get equation 1
4x+3y=12
equation 2
2×-3y=-30
equation 2 by 2
using the substitution method
y=8
x=-3
ASSOCIATIVE PROPERTIES
COMMON CORE ALGEBRA I HOMEWORK
FLUENCY
Combine the expressions below. Replace subtraction by addition of opposites, if needed.
(a) 7x+3+6x+11
(b) 12x+10+3+8x
(c) 10y+12-7y-8-3y
What is an associative property?
According to the associative property, if three or more integers are classified differently, the total or product does not change. It is possible to apply this associative characteristic to addition and multiplication. Both (A + B) + C = A + (B + C) and (A + B) C = A + (B C) are used to represent it.In accordance with the associative property, it is irrelevant how the integers are grouped when adding or multiplying them, i.e., where the parenthesis are placed.Given expressions with rearrangement as per associative property are:
(a) 7x+3+6x+11
=(7x+6x)+(3+11)
(b) 12x+10+3+8x
=(12x+8x)+10+3
(c) 10y+12-7y-8-3y
=(10y-7y-3y)-(-12+8)
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Please HELP! what is −1/4 ⋅ (−6/11)?
Answer:
[tex] \frac{3}{22} [/tex]
or 0, 14 rounded off to two dp
Simon invested $2600 into a simple interest account for 2 years if account yielded $234 at the end of two year what was the interest rate write your answer as a percent
Answer:
4.5%
Step-by-step explanation:
I = prt
234 = 2600 × r × 2
r = 234/5200
r = 0.045
r = 4.5%
Answer:
4.5%
Step-by-step explanation:
$234 is interest for 2 years
interest for 1 year will be 234/2 = 117
117/2600 = 0.045 which is 4.5%
algebra 1
where can parentheses be placed so that it has a value of 26?
4 + 12 • 14 – 3
The expression becomes 4 + 2*(14-3) to get the answer value of the 26.
According to the statement
We have to find that the parentheses of the given expression.
So, For this purpose, we know that the
Algebraic expression definition, a symbol or a combination of symbols used in algebra, containing one or more numbers, variables, and arithmetic operations.
From the given information:
The expression is :
4 + 2 * 14 – 3
Then rearrange it to get the answer value of 26.
For this use associative property
then
it will become and Written like this
4 + 2*(14-3)
4 + 2*(14-3) = 4 + 2*11
4 + 2*(14-3) = 4 + 22
4 + 2*(14-3) = 26
So, The expression becomes 4 + 2*(14-3) to get the answer value of the 26.
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The temperature in a town is 12.5°F during the day and -23.3°F at night. Find the difference in the temperatures.
Answer:
Explanation
temperature in a town during day=12.5The temperature in a town is 12.5°F
temperature at night is -23.3°F
difference -23.3°F+12.5°F
=. -10.8
Solve (8×5)÷4×5 step by step
Answer:
50
Step-by-step explanation:
Apply PEMDAS to this problem
8 × 5 = 40
Now you are left with: 40÷4×5
You then use PEMDAS from left to right from here
So 40 ÷ 4 would be 10, and now you are left with 10 × 5, which would be 50.
Write an equation in standard form of a line that is parallel to y=4x-3 and passes through the point (7, 10).
The equation of a line that is parallel to y=4x-3 and passes through the point (7, 10) is 4x - y = 18.
What is the equation of a line that is parallel to y=4x-3 and passes through the point (7, 10)?Given that;
Equation of line: y = 4x - 3Point: ( 7,10 )First, we determine the slope of the line using the slope intercept form.
y = mx + b
m is slope and b is y-intercept.
y = 4x - 3
Comparing with the slope intercept form equation,
Slope m = 4
Now, to determine the the equation of line parallel, the slopes must equal.
We find the line using the point slope formula.
y - y₁ = m(x - x₁)
Plug in m = 4, x₁ = 7, y₁ = 10 and simplify.
y - 10 = 4(x - 7)
y - 10 = 4x - 28
-10 + 28 = 4x - y
4x - y = -10 + 28
4x - y = 18
Therefore, the equation of a line that is parallel to y=4x-3 and passes through the point (7, 10) is 4x - y = 18.
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Which of the following shows double the sum of 8 and 4?
a. 2 *8 +4
b. 2(8 + 4)
C. 2*8-4
d. 2(8-4)
Answer:
C
Step-by-step explanation:
Rearrange the formula c=4/a-b to make a the subject
Answer:
[tex] a = \dfrac{4 - bc}{c} [/tex]
Step-by-step explanation:
c = 4/(a - b)
Multiply both sides by a - b.
c(a - b) = 4
ac + bc = 4
ac = 4 - bc
a = (4 - bc)/c
[tex] a = \dfrac{4 - bc}{c} [/tex]
Need help ASAP
logx = 7
logy = 2
logz = 5
Find log[tex]\frac{x^2\sqrt{z} }{y^3}[/tex]
Using some logarithmic properties, we will see that the solution of the logarithmic equation is 10.5
How to find the value of the logarithm?
Here we have some properties that you need to remember.
log(A*B) = log(A) + log(B)
log(A/B) = log(A) - log(B)
log(Aⁿ) = n*log(A)
Then we can rewrite our equation as:
[log(x²) + log(√z)] - log(y³)
Now, remember that a square root is equal to an exponent of 0.5, then:
[log(x²) + log(√z)] - log(y³) = 2*log(x) + 0.5*log(z) - 3*log(y)
Now we can replace the logarithms by the given values:
2*log(x) + 0.5*log(z) - 3*log(y)
2*7 + 0.5*5 - 3*2 = 10.5
The solution of the logarithmic equation is 10.5
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in 5-8, find each reciprocal. 5/9 8 7/3 1/12
the answer
155
324
5/9 (87/3(1/12)= 155/324
HELPPP I’ll mark you BRAINLIST if it’s right
Answer:
is 0 is the right answer of this??
Answer: The factored answer for 36c - 81 is 9(4c−9)
Step-by-step explanation:
Based on the question as posed, 9(4c-9) is the factored answer. It is not possible to derive a single whole number value based on this equation, though the factored result would be greater than 1 where c > 3.
5 - 4k = -7
please help
Answer:
k = 1.75
Step-by-step explanation:
5 - 4k = -7
k = 1.75, because if you subtract 4 from both sides, you are left with 1.75 = -7.
Answer:
k = 3
Step-by-step explanation:
5 - 4k = - 7 ( subtract 5 from both sides )
- 4k = - 12 ( divide both sides by - 4 )
k = 3
