Please give an equation to this word problem...
1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister?
the second of three numbers is 1 less than the first. The third number is 5 less than twice the second. If the number exceeds the first number by 12, find the three numbers
The three numbers are found by forming and solving a system of equations: the first number is 19, the second is 18 (which is one less than the first), and the third is 31 (which is 5 less than twice the second and exceeds the first by 12).
To solve the problem of finding the three numbers, we can set up a system of equations based on the information given:
The first number is x.The second number is one less than the first, so it is x - 1.The third number is 5 less than twice the second, which translates to 2(x - 1) - 5.The third number also exceeds the first by 12, so 2(x - 1) - 5 = x + 12.Now we can solve for x:
2(x - 1) - 5 = x + 122x - 2 - 5 = x + 122x - x = 12 + 2 + 5x = 19The first number is 19. The second number is 18 (19 - 1), and the third number is 31 (2(18) - 5).
Thus, the three numbers are 19, 18, and 31.
Assume each tick mark represents 1 cm. Calculate the total displacement from 0 if an object moves 3 cm to the left, then 7 cm to the right, and then 6 cm to the left
Answer:
Calculate the final displacement from 0 if an object first moves 3 cm to the left and then 5 cm to the right.
The final displacement is 2 cm to the RIGHT .
Step-by-step explanation:
Fill in the blank to make the solution correct
5.6 x _ = -19.04
The value of x is -3.4.
Product of IntegersThe product of different integers is different as given below.
[tex](+)interger \times (+)interger = (+)interger\\(+)interger \times (-)interger = (-)interger\\(-)interger \times (+)interger = (-)interger\\(-)interger \times (-)interger = (+)interger\\[/tex]
Given to us,[tex]5.6 \times \_\_} = -19.04[/tex]
AssumptionLet the number be x.
SolutionAs we can see the first number is positive while the result is negative, therefore, the other number must be negative as well.
[tex]5.6 \times x = -19.04\\\\x = \dfrac{-19.04}{5.6}\\\\x = -3.4[/tex]
Hence, the value of x is -3.4.
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How would you write -4.5 as a rational number in the form of a/b?
What is the answer to 4+4-(5-1)
Justin is taking a taxi cab to pick up his car from the auto shop. The taxi service charges an initial fee of $3. There is an additional charge of $0.80 for each mile the taxi drives. How much will it cost Justin if the auto shop is 14 miles away?
Is 16.45 greater, less than or equal to 16.454
Matthias walked around the track for 9.28 minutes. What is the value of the digit 2 in 9.28
Pauline spent $7.50 every day for 3 days. Which expression is the best choice to help her determine the total amount of money she spent?
(7.50)(−3) = −22.50; she spent $22.50
(−7.50)(3) = −22.50; she spent $22.50
(−7.50)(−3) = 22.50; she spent $22.50
(7.50)(3) = 22.50; she spent $22.50
Answer:
The correct option is 2.
Step-by-step explanation:
It is given that Pauline spent $7.50 every day for 3 days.
Amount spent on each day = $7.50
Number of days = 3
Spent amount and expenditure are always negative.
Total amount of money she spent is
[tex]Total =(-7.50)(3)[/tex]
On simplification we get
[tex]Total =-22.50[/tex]
She spent $22.50 and required expression is (−7.50)(3) = −22.50. Therefore the correct option is 2.
Use the Distributive Property to solve 3e - 8 = 2( e - 4). How do I do this please help I’m in the 8th grade and this is pre algebra
I will give BRAINLIEST to whoever is correct.
Simplify each expression
√3 (√27 - √3)
plz explain how to do it, thx
What is the best estimate for the product of 289 and 7
289 -> 290
7 -> 10
290 x 10
= 2900
Fill in the missing operation (+,-,* or /) below to make the number sentence correct from to left to right
4_9_6_6_25=25
Subtract using the number line.
−1/3 − (−1/2)
The answer is 1/6 after using the number line if the number expression is −1/3 − (−1/2).
What is a number line?It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.
It is given that:
The fraction numbers are 1/3 and -1/2
As we know,
Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The number expression is:
−1/3 − (−1/2)
From the number line:
Drawing line segment length of 1/3 left side
Drawing line segment length of 1/2 left side
Taking difference using number line:
= 1/6
Also, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
= −1/3 − (−1/2)
= -1/3 + 1/2
= (-2+3)/6
= 1/6
Thus, the answer is 1/6 after using the number line if the number expression is −1/3 − (−1/2).
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Why does 30+(-8)+(-6) equal 16? I'm so confused on this one
6(5-8v)+12=-54 please answer
Which reason justifies the statement that KLC is complementary to KJC?
Answer:
Angles that are congruent are complementary to the same angle
Step-by-step explanation:
see that attached figure to better understand the problem
we know that
Two angles are complementary if their sum is equal to [tex]90\°[/tex]
[tex]m<KJM=m<KLM=90\°[/tex]
[tex]m<KJC=m<MLC[/tex] -----> equation A
[tex]m<KJM=m<KJC+m<CJM[/tex]
so
[tex]m<KJC+m<CJM=90\°[/tex] -----> equation B
[tex]m<KLM=m<KLC+m<MLC[/tex]
so
[tex]m<KLC+m<MLC=90\°[/tex] -----> equation C
Substitute equation A in equation C
So
[tex]m<KLC+[m<KJC]=90\°[/tex]
That means------> angles ∠KLC and ∠KJC------> are complementary angles
therefore
Angles that are congruent are complementary to the same angle
a Navy submarine descended from sea level at a rate of seven feet per second awrite the descendent rate as an integer b.find the submarines elevation after 10 minutes.
The submarine's elevation after 10 minutes is 4200 feet if the Navy submarine descended from sea level at a rate of seven feet per second.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
A Navy submarine descended from sea level at a rate of seven feet per second writing the descendent rate as an integer.
The rate of drop is 7 feet per second. 7 x 10(60), or 7 x 600, would be the subs elevation.
Consequently, the sub's elevation would be 4,200 feet below sea level.
Thus, the submarine's elevation after 10 minutes is 4200 feet if the Navy submarine descended from sea level at a rate of seven feet per second.
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Explain how using basic fact can help find 10x20x30x40 mentally
Expressions cannot _____.
Find the number is 900% of it is 450.
The number whose 900% is 450 is 50.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
The number is 900% of it is 450.
let the number be x.
900% of x= 450
900/ 100 x= 450
9x = 450
x= 50
Hence, 900% of 50 is 450.
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You want to make a large bowl of salad to share with your friends. Your brother eats 1/3 of it before they come over.
a.) you want to divide the leftover salad evenly among six friends. What expression describes the situation? Exlplain.
Choose either the SSS Postulate or the SAS Postulate and explain in your own words how you use that postulate to prove two triangle are congruent.
Is the expression a12 a4 equivalent to a8 a8?
The expressions a12 a4 and a8 a8 are equivalent because according to the laws of exponents, when multiplying terms with the same base, you add their exponents, resulting in both expressions equating to a16.
Explanation:The question refers to whether the expressions a12 a4 and a8 a8 are equivalent. These expressions are using the laws of exponents, specifically, the rule which states that when you are multiplying terms with the same base, in this case, a, you add their exponents. Therefore, a12 a4 would actually equal a16 because 12 + 4 equals 16. Similarly, a8 a8 would equal a16 because 8 + 8 equals 16, so yes, these expressions are equivalent as they both simplify to a16.
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A figure has vertices E(-3, 1), F(1, 1) and G(4, 5). After a transformation, the image of the figure has vertices at E'(-3, -1), F'(1, -1) and G'(4, -5). Identify the transformation.
a
Reflection across the y-axis.
b
Reflection across the x-axis
c
Rotation
d
Translation
Answer: B
Step-by-step explanation:
Pretty sure
The volume of a box for earrings is 216 cubic centimeters. What is the length of one edge of the box plz help it's due tm
Answer:
side of the cubic box is 6 cm
Step-by-step explanation:
The volume of a box for earrings is 216 cubic centimeters.
Volume of a cubic box is [tex](side)^3[/tex]
[tex]Volume = a^3[/tex], where 'a' is the side of the cubic box
[tex]216 = a^3[/tex]
Take cube root on both sides
[tex]\sqrt[3]{216} =\sqrt[3]{a^3}[/tex]
Cube and cube root will get cancelled
So 6=a
The side of the cubic box is 6 cm
How many 1/4 ft pieces can you cut from a string that is 15 feet long
You can cut 60 pieces of 1/4 foot each from a string that is 15 feet long by carrying out the operation 15 ÷ 1/4, which turns into multiplication by the reciprocal of the fraction, 15 x 4 equals 60.
Explanation:The question is asking how many 1/4 ft pieces you can cut from a 15 feet long string. In other words, you want to divide the total length of the string by the length of each piece you're cutting out. So you will carry out a division operation: 15 ÷ 1/4. When dividing by a fraction, you actually multiply by its reciprocal. The reciprocal of 1/4 is 4, so 15 ÷ 1/4 becomes 15 × 4, which equals 60. Therefore, you can cut 60 pieces of 1/4 foot each from a string that's 15 feet long.
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John wants to buy a new game for his computer. He can save $12 a week if he mows his neighbor's lawn and $10 a week if he babysits his nephew. How many weeks will it take John to save enough money to buy the computer game?
how much does the game cost???????????????????