The elevation of Smallville is calculated by multiplying the elevation of Longfield by 4. Longfield's elevation is -144 1/2 feet, which is equivalent to -289/2 as an improper fraction. Multiplying this by 4 gives the elevation of Smallville as -578 feet.
Explanation:To find Smallville's elevation, we first take the elevation of Longfield, which is -144 1/2 feet below sea level. Since Smallville is 4 times farther below sea level than Longfield, we have to multiply the elevation of Longfield by 4.
First, convert -144 1/2 to an improper fraction: -144 1/2 = -289/2.
Now, multiply by 4:
(-289/2) × 4 = -289 × 2 = -578 feet
So the elevation of Smallville is -578 feet below sea level.
The sum of two numbers is 12 the difference of the same is -4 formulate a system of equation and find the number
Answer:
The numbers are a= 4 and b= 8.
Step-by-step explanation:
Let the unknowns number be a and b.
assume a>b.
As per the given condition: The sum of two number is 12 and the difference of the same is -4.
from the above conditions we have:
[tex]a+b =12[/tex] ......[1]
[tex]a-b=-4[/tex] ......[2]
Now, adding equations, we will eliminate b leaving an equation in a that we can solve:
⇒ [1]+[2] gives;
[tex](a+b)+(a-b)=12+(-4)[/tex] or
[tex]a+b+a-b=12-4[/tex]
Simplify:
[tex]2a=8[/tex]
Divide by 2 on both sides, we get
[tex]\frac{2a}{2}= \frac{8}{2}[/tex]
Simplify:
a=4
Substitute the value of a= 4 in equation [1] . to solve for b;
[tex]4+b=12[/tex] or
b= 12-4 =8
Therefore, the numbers a and b are 4 and 8
Could someone help me on this please? Its one question but there are drop downs for the answer choices. 20 points
The equation format for point-slope form is y-y1 = m(x-x1)
The slope is M, which is given as -1/5
You are given a point of (7,2) which would be x1 and y1.
replace x1 and y1 in the equation with the appropriate numbers:
x1 = 7, y1 = 2
The equation becomes y - 2 = -1/5x -7
acticity 2.5.2 the vertical angles theorem
the answer is 5.5.5.5.5 because i just did the math
victor bought 15.6 pounds of paintball all together the balls cost $35.99 about how much did the paintball cost per pound
What is 2.26 (26 repeating)as a fraction
The repeating decimal 2.26 (with 26 repeating) is converted to a fraction by setting it as 'x', scaling by 100, subtracting the original x, and then simplifying to get the fraction 224/99.
To convert the repeating decimal 2.26 (with 26 repeating) to a fraction, we use the following steps:
Let x = 2.262626..., which is the number we want to express as a fraction.Multiply x by 100 (since the repeating part is two digits long), so 100x = 226.262626....Subtract the original number x from this new number, so 100x - x = 226.262626... - 2.262626..., which gives us 99x = 224.Now, divide both sides by 99 to solve for x. Therefore, x = 224 / 99.We now have our fraction, which is 224/99.
they are 5 students in the music club.There are 4 times as many students that play basketball.How many students play baskyball
5 x 4= 20
20 students play basketball.
5 x 4= 20
20 students play basketball.
What is the least common multiple of 8 and 10? Enter your answer in the box. _____
40 is the LCM,
Hope it helps ❤️
Find a number whose product with six is the same as its sum with 45
1. Make the equation. The product of the number and 6 equals the sum of the number and 45, so the equation would be 6x = x + 45.
2. Subtract x from both sides. You'll get 6x - x = 45.
3. You can combine like-terms by subtracting 6x - x. This is the same as 6x - 1x, which is 5x. You'll get 5x = 45.
4. Divide both sides by 5 to get x = 9.
Therefore, the number is 9.
If 13% of the 250 million adult Americans live in poverty, how many adult Americans live in poverty?
If 13% of 100 is 13, than 13% of 100 million is 13 million. And multiplying two on both sides, we get that 13% of 200 million is 26 million. If we take it the other way, we get that 13% of 50 million is 6.5 million. As 6.5 million + 25 million is 31.5 million, this is our answer.
your answer is 32,500,000
HELP PLEASE!!!!!!!!!!!!!!! I GIVE BRAINLIAST <3)))
8. domain=hours
range=cost
it is a function because there is a y value for ever x
9. minutes =60, 120,180, 240 (domain)
calories= 360, 720, 1080, 1440 (range)
this is also a function
complete table of values 5x-4y=20
34' of 34 into 45. that's your answer.
Solve for z. z−49−13=59 Enter your answer in the box. z=
Answer:
z = 131
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
z - 49 - 13 = 59
Step 2: Solve for z
Subtract: z - 62 = 69[Addition Property of Equality] Add 62 on both sides: z = 131Answer:
[tex] \small \sf \: z = \fbox{121}[/tex]
Step-by-step explanation:
z - 49 - 13 = 59
We need to find z.
solve for z
z - 49 - 13 = 59
combine like termsz - 62 = 59
Add 62 to both sidesz - 62 + 62 = 59 + 62
z = 59 + 62
Add 59 and 62 to get 121.z = 121
sole equation 4×6-24÷4
4x6-24/4
24-24/4
24-6
Answer: 18
A theater sells adult tickets for $8.00 and children’s tickets for $5.50
Let Total = t, adult tickets = a, children's ticket = c, total cost = T
t = a + c
T = 8a + 5.50c
is your system equation.
hope this helps
Roberta is thinking about joining the food co-op store. If she pays $10.00 to join, she will get 10% off on all the groceries she buys there.How much must she buy before her savings equal her membership fee?
$100 worth of groceries.
What is 732÷42 in rounding form?
732 ÷ 42 = 17.42857143
Rounding up the answer to nearest whole number gives 17
Noah runs 15 feet per second. Jake runs 101 feet in 8 seconds. Debbie runs 1 mile in 45 seconds. Stephanie runs 869 feet in 1 minute. Who runs the fastest?
Answer:Noah runs the fastest, u gave me the wrong answer!!!!!!!!!
Step-by-step explanation:
John played a note on his tuba that vibrated the air 120 times per second. If you play the note for 4 seconds, how many times in the air vibrate?
480
This is this awnser because its 120 a second, for 4 seconds so 4 times 120 = 480.
Well the equation is rate*time=work/distance(in this case total vibrations)
Now we plug in the numbers:
(we know that 120 times per second is the rate because it uses the word per)
(4 seconds is the time because the unit is just seconds)
12*4=48*10=480
120*4=480
The answer is 480 vibrations
Hope this helps :)
i need help whats the closer 3 or 7 whats in the mittle
A postcard collector has 1,230 postcards. If she displays them on pages that hold 6 cards each, how many pages does she need?
First you have to divide 1,230 by 6:
1,230 ÷ 6 = 205
She will need 205 pages to display all 1,230 of her cards
what is the opposite of -3
3 the opposite as in |-3|
is 3
If you have an email that is stressing you out and you sleep on it before emailing it, you have shown which character trait?
Question 3 options:
Self-control
Humility
Kindness
What is -3x2? plez help
it is -6
-3x2=-6
do 3x2 (6) but add the negative after
Using multiplication operation, the value of -3 * 2, which is the product of -3 and 2 is: -6.
How to perform multiplication operation?To calculate -3 × 2, you multiply the two numbers together using the standard multiplication operation.
-3: This is a negative constant, representing the number -3.
×: This symbol represents the multiplication operation.
2: This is a positive constant, representing the number 2.
Now, perform the multiplication:
-3 × 2 = -6
So, -3 × 2 equals -6. The result is a negative number because when you multiply a negative number (-3) by a positive number (2), the product is negative.
Learn more about multiplication operation on:
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(-2)(-5)= what’s the answer
10
hop thats helps ya
Out Of 100 what numbers are prime and composite
The answers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.
All of these number CANNOT be divided by any number (or cannot have any smaller numbers multiplied together to make it) besides 1 and itself (1 * 5 = 5).
Use traditional algorithm to find the quotient 3 ) 137
Using the traditional division algorithm, 137 divided by 3 equals 45 with a remainder of 2.
Explanation:To find the quotient of 3 divided into 137 using the traditional divisor algorithm, we take it step by step. Starting from the left, we see if 3 fits into the first digit, 1. It does not, so we look at the next digit, making it 13. 3 fits into 13 four times. Write this 4 on top of the division line. Then you subtract the value of 4 times 3, or 12, from 13 to get a remainder of 1. Bring down the next digit from the dividend, so now we're dividing 3 into 17. 3 fits into 17, five times. Write this 5 on top of the division line. Therefore, 137 divided by 3 using traditional division algorithm equals 45 remainder 2.
Learn more about Traditional Division Algorithm here:https://brainly.com/question/35341006
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How many times larger is 3 x 1015 than 6 x 1010?
Final answer:
To find how many times larger 3 x [tex]10^{15}[/tex] is than 6 x [tex]10^{10}[/tex], divide the first by the second resulting in 5 x [tex]10^{4}[/tex]. This means 3 x [tex]10^{15}[/tex] is fifty thousand times larger than 6 x [tex]10^{10}[/tex].
Explanation:
To find out how many times larger 3 x [tex]10^{15}[/tex] is than 6 x [tex]10^{10}[/tex], you can divide the first number by the second number:
Write the division of the two numbers using scientific notation: (3 x [tex]10^{15}[/tex] ) / (6 x [tex]10^{10}[/tex]).Divide the coefficients (3 / 6) which equals 0.5.Simplify the powers of ten by subtracting the exponents ([tex]10^{15} / 10^{10}[/tex] becomes [tex]10^5[/tex]) because when you divide powers of ten, you subtract the exponents.Multiply the results of steps 2 and 3 together - [tex]0.5 * 10^5[/tex].Since 0.5 x 105 is equal to 5 x 104, 3 x [tex]10^{15}[/tex] is 5 x [tex]10^{4}[/tex] times larger than 6 x [tex]10^{10}[/tex].This means that 3 x [tex]10^{15}[/tex] is fifty thousand times larger than 6 x [tex]10^{10}[/tex].
Sonny Siebert earned $485,000 a year as a rookie pitcher for the Cleveland Indians. Assuming a tax rate of 6.2% for Social Security up to $118,500 and Medicare tax of 1.45%, how much did Sonny pay in FICA taxes as a rookie pitcher?
Answer:
14379.50
Step-by-step explanation:
If I remember correctly, the Medicare tax is taken on Gross Income. The question has already limited the base amount for Social Security.
Social Security: 118,500 * 6.2/100 = 7347
Medicare Tax: 485,000*1.45/100 = 7032.50 Add
Add 14379.50
Sonny paid 14370 in taxes for these 2 items.
Answer:
$14,379.50
Step-by-step explanation:
Given that:
Sonny Siebert Income: $485,000Social Security tax rate: 6.2% up to $118,500Medicare tax of 1.45%As we know that, the Federal Insurance Contributions Act (FICA) is made up of two items, Social Security and Medicare taxes.
So
Social Security tax: $118,500*6.2% = $7347
Medicare tax: $485,000*1.45% = $732.5
=> the amount of FICA taxes as a rookie pitcher she needs to pay is:
= $7347 + $732.5
= $14,379.50
Solve for s.23s+56s=21
Enter the answer, as a whole number or as a fraction in simplest form, in the box.
23s+56s=21
79s=21
79/79 21/79
s=0.265822785
Which of the following is an example of a chemical change?
Select one:
a. The shell of an egg breaks when it is struck against a hard surface.
b. A mixture of flour, sugar, eggs, and butter is baked to become a cake.
c. Flour and sugar are sifted together into a measuring cup.
d. Chocolate squares are melted to make cake icing.
The answer is B.
To find the answer you can immediately cross out A and C. You're left with a mixture of ingredients that turn into a cake or choclate melting. Chocolate melting is a physical change so by using the process of elimination you can conclude that B is the correct answer.
Answer:
The correct answer is option B.
Step-by-step explanation:
We call chemical change to the process where two or more substances are transformed into other substances.
During this change, the substances will have a modification in the structure of their molecules and their bonds.
In the case of the example we can see how different substances (flour, sugar, eggs and butter) will change the shape of their structure to form another substance: the cake. This cake will receive the name of product.
Given this information, we can say that the correct answer is option B.