To factorise fully the expression 5x-15, we must search for the greatest common factor (GCF) that can be taken out of both terms. The expression 5x - 15 can be factorised fully by finding the greatest common factor, which is 5. So the expression factorised fully is 5(x - 3).
Explanation:To factorise fully the expression 5x-15, we must search for the greatest common factor (GCF) that can be taken out of both terms.
The GCF of 5x and 15 is 5. Thus, we can pull 5 outside of the equation and divide each term by 5.
The equation becomes: 5(x - 3).
So, the expression 5x - 15 factorised fully is 5(x - 3).
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Tom has been a customer of the same bank foe two years and his income can change frommonth to month after paying bills. Tom places 250.00 a month in a two year CD. He notices that last year twice he withdrew 250.00 from his CD early to pay monthly bills. His bank charges a penalty for a early CD withdraw. His bank requires a minimum of 150.00 for regular savings accounts 750.00 for money markets, and 1,000 for CDs what would be the best strategy
Tom's best strategy would be to keep a minimum balance of $1,000 in his CD to meet his bank minimum requirement.
What is Tom's best strategy?From the given information, Tom's income can change from month to month and he needs to withdraw money from his CD to pay monthly bills, he should plan ahead and withdraw the necessary amount in one go to minimize the number of early withdrawals.
Withdrawing $250.00 from his CD every month for bills would result in multiple early withdrawals, incurring multiple penalties.
Thus, Tom's best strategy would be to keep a minimum balance of $1,000 in a separate CD for longer-term savings and avoid multiple early withdrawals.
Also he should keep the majority of his funds in a regular savings account or money market account for more flexibility in managing his irregular income and monthly expenses.
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There are 7 students at the Math Club picnic. If 2 students are drinking punch and 5 are drinking lemonade, what fraction are drinking punch?
Answer:
2/7
Step-by-step explanation:
2 are drinking punch
5 are drinking lemonade
------------------------------------
7 in total
what is the answer to a-5<1
Answer:
a < 6
Step-by-step explanation:
Given
a - 5 < 1 ( isolate a by adding 5 to both sides )
a < 6
An architect has a blueprint with the scale missing. A wall that measures 10 feet on site shows as 2.5 inches on the blueprint. What is the scale for this blueprint?
Answer:
its 4 :)))
Step-by-step explanation:
Answer:
4 ft
Step-by-step explanation:
60 points for this question. Solve the inequality:
Answer:
(-1,9) and the other one is in the picture
Step-by-step explanation: there is an app called photomath that solved this problem instantly. I used it to solve this.
What is $29.50÷$4.5?
6.55555556
You divide like regular and you get the answer even if it seems long
Answer:
~$6.6
Step-by-step explanation:
[tex][/tex]The surface of the Dead Sea is 1312 feet below sea level. use an integer to express the surface of the Dead Sea. Hurry please I need this before 7:40 pacific tomorrow
Willis can jump rope at a rate of 8 jumps every 10 seconds. find the unit rate
Answer:
0.8 jumps per second
0.8 jumps/second
Neveah and Clint are baking muffins for the bake sale. They need to bake 30 muffins for their display case. Clint has baked 4 so far, and Neveah has baked 7. How many muffins (m) do they have left to bake?
Answer:
Add 4+7 and you'll get 11 . Then you will say 30-11 = 19. So, you will need 19 more muffins
Step-by-step explanation:
Answer:19
Step-by-step explanation:
4 + 7 = 11
30 - 11 = 19
A hungry elf ate 20 of your muffins. That was 5/8 of all of them! With how many did you start?
Answer:
answer and explanation is in the image :)
Step-by-step explanation:
A bus can hold 42 students
If there are 400 students going on a trip, how many buses are need for all of the students to attend?
How many empty seats will be on the last (not full) bus?
Answer:
10, there will be 20 left open
Step-by-step explanation:
if each bus holds 42 students and there are 400 going then you need to divide 400 by 42, and then round up, to find how many seats will be left open, you take the answer and then multiply it by 42 and then subtract 400.
sorry for not putting my work last time.
Finite math: an urn contains 6 red 5 white 7 blue marbles how many ways can three marbles be selected so that they are all different colors
Three marbles of three different colours can be chosen in 210 different ways.
What is combination ?Combination means selection of things or objects where order does not matter.
According to the given question an urn contains 6 red 5 white and 7 blue marbles.
The red marbles can be chosen in 6 different ways.
The white marbles can be chosen in 5 different ways.
The blue marbles can be chosen in 7 different ways.
∴ The three marbles of different colours can be chosen in (6×5×7) ways which is
= 210 ways.
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Which of the following are solutions to the question below? Check all that apply.
6x^2-2x+36=5x^2+10x
A. -4
B. -3
C. 4
D. 6
E. -6
F. 18
Answer:
D
Step-by-step explanation:
Given
6x² - 2x + 36 = 5x² + 10x ( subtract 5x² + 10x from both sides )
x² - 12x + 36 = 0 ← in standard form
(x - 6)² = 0 ← in factored form, thus
x - 6 = 0 ⇒ x = 6 → D
The product of six and three less than the number
The product of six and three less than the number is 6(x - 3) where x is the variable.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
The question is incomplete.
The complete question is:
Write the mathematical expression, and use x as a variable.
The product of six and three less than the number
x is the variable;
Three less than a number = x - 3
The product of 6 and (x - 3)
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 ÷.
= 6(x - 3)
Thus, the product of six and three less than the number is 6(x - 3) where x is the variable.
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A commuter has $245 in his commuter savings account. This account
changes by -$15 each week he buys a ticket. In one time period, the
account changed by -$240..... For how many weeks did the commuter buy tickets?
Use the expression below to answer the question. Select all expressions that are equivalent.
-y - 1
A. 10 + 4y – 5y - 11
B. 2(10 + 4y – 7y – 19)
C. 2(10 + 4y) – 3(3y – 7)
D. 4(5 + 2y – 5y – 17)
E. 4(5+ 2y) – 3(3y +7)
The required expression -y - 1 is equivalent to the expression 10 + 4y – 5y - 11. which is the correct answer would be option (A).
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
As per option (A)
10 + 4y – 5y - 11
-y - 1
This expression is equivalent to -y - 1
As per option (B)
2(10 + 4y – 7y – 19)
20 + 8y – 14y – 38
-6y - 18
As per option (C)
2(10 + 4y) – 3(3y – 7)
20 + 8 y - 9y + 21
-y + 41
As per option (D)
4(5 + 2y – 5y – 17)
20 + 8y - 20y - 68
-12y - 48
As per option (E)
4(5+ 2y) – 3(3y +7)
20 + 10y - 9y -21
y - 1
Therefore, the required expression -y - 1 is equivalent to the expression 10 + 4y – 5y - 11.
Hence, the correct answer would be an option (A).
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Find three consecutive even integers. Such that 7 times of first integers is 14 more than the sum of second and third integers.
Answer:
no clue sorry I couldn't be of more help
Answer:
4, 6 and 8
Step-by-step explanation:
1st number x
2nd number x+2
3rd number x+4
7x = (x+2) + (x+4) +14
7x = 2x+20
5x=20
x=4
7*4=28 (6+8)+14 =14+14 = 28
Liam bought a comic book and had $5 left. If he had a total of $8 walking into the store, how much did he spend on the comic book?
Liam used the equation 5x=8 to model the problem. He said that x represents the amount of money he spent. Liam said that the solution, x=1.6, means that he spent $1.60. Is he correct? Why or why not? If he is incorrect find the correct answer showing your work.
Pls Help Me
Answer:
Liam is incorrect
He spent $3 on the comic book
Step-by-step explanation:
Let
x -----> represents the amount of money he spent
we know that
The amount of money he spent plus the money he had left must be equal to the money he had when he walked into the store.
so
The linear equation that represent this problem is
x+5=8
solve for x
subtract 5 both sides
x=8-5=$3
therefore
Liam is incorrect
He spent $3 on the comic book
If f(n) = n2 - 2n, which of the following options are correct? Select all that apply. f(2) = 0 f(1) = 3 f(-4) = 24 f(5) = 35 f(-2) = 0
Answer:
f(2)=0
f(-4)=24
Step-by-step explanation:
We are given
f(n)=n^2-2n
We are asked which of the following are true?
f(2)=0
f(1)=3
f(-4)=24
f(5)=35
f(-2)=0
Let's start with f(2)=0.
f(2)=2^2-2(2)
f(2)=4-4
f(2)=0
So f(2)=0 is true.
Moving on to f(1)=3.
f(1)=1^2-2(1)
f(1)=1-2
f(1)=-1
So f(1)=3 is false.
Now for f(-4)=24.
f(-4)=(-4)^2-2(-4)
f(-4)=16+8
f(-4)=24
So f(-4)=24 is true.
f(5)=35?
f(5)=5^2-2(5)
f(5)=25-10
f(5)=15
So f(5)=35 is false.
Finally f(-2)=0.
f(-2)=(-2)^2-2(-2)
f(-2)=4+4
f(-2)=8
So f(-2)=0 is false.
Answer:
The correct option are,
f(2) = 0, and f(-4) = 24
Step-by-step explanation:
Given function,
[tex]f(n) = n^2 - 2n[/tex]
By substituting n = 2,
[tex]f(2) = 2^2 - 2(2) = 4 - 4 = 0[/tex]
By substituting n = 1,
[tex]f(1) = 1^2 - 2(1) = 1 - 2 = -1[/tex]
By substituting n = -4,
[tex]f(-4) = (-4)^2 - 2(-4) = 16 + 8 = 24[/tex]
By substituting n = 5,
[tex]f(5) = (5)^2 - 2(5) = 25 - 10 = 15[/tex]
By substituting n = -2,
[tex]f(-2) = (-2)^2 - 2(-2) = 4 + 4= 8[/tex]
This year a small business had a total revenue of $26,00 if this is 33% more than their total revenue the previous year. what was their total revenue of the previous year
Answer:
19,549
Step-by-step explanation:
If 26,000 ( I'll assume you missed a 0) is 33% more than their total the previous year.
If the previous year is supposed to be 100%, this year is 100% + 33% = 133%
Using rule of three:
26,000 -> 133%
x -> 100%
x = 100/133 * 26,000 = 19,549
To make orange paint, Roger next 5/8 cup of red paint to his cup of yellow paint. He really likes of the resulting color and wants to make a large batch of the orange paint. How much yellow paint is needed to mix with one cup of red paint?
Answer:
It is needed [tex]\frac{8}{5}[/tex] cups of yellow paint to mix with one cup
of red paint
Step-by-step explanation:
* Lets explain how to solve the problem
- To make the orange pint, Roger mixed 5/8 cup of red paint to one
cup of yellow paint
∴ The ratio of red paint to yellow paint is 5/8 : 1
- Lets simplify it by multiplying the two terms of the ratio by 8
∵ [tex]\frac{5}{8}(8):1(8)[/tex]
∴ The ratio of red paint : yellow paint = 5 : 8
∴ For every 5 cups of red paint we need 8 cups of yellow paint to
make the orange paint
- We need to know how many yellow paint is needed to mix with
one cup of red paint
∵ red paint : yellow paint
5 : 8
1 : ?
- By using cross multiplication we can find the number of yellow cups
∴ The number of the yellow cups = [tex]\frac{1*8}{5}=\frac{8}{5}[/tex]
∴ It is needed [tex]\frac{8}{5}[/tex] cups of yellow paint to mix with one
cup of red paint
the sum of 12 and a number x is equal to 15
Answer:
The answer would be 3.
Step-by-step explanation:
This can be found by subtracting 12 from both sides and then the x will be alone on one side and be set equal to 3 on the other side.
please help will give brainiest to whoever answers correctly!!!!
Answer:
○ B
Step-by-step explanation:
It is exactly similar to A:
One unit north over one unit west
I am joyous to assist you anytime.
What is 5x23x2 using any property
Answer:
230
Step-by-step explanation:
First, you multiply 5 x 23. You'll get 115 as your answer. Multiply 115 x 2, and you'll get 230 as your answer.
Answer:
Step-by-step explanation:
230
0.9333 as a fraction
Answer:
0.9333 as a fraction equals 9333/10000
Step-by-step explanation:
0.9333 = 0.9333/1 = 9.333/10 = 93.33/100 = 933.3/1000 = 9333/10000
5 +5 will give brainliest
Answer:
IT ONLY TOOK ME A MONTH BUT I FIGURED IT OUT!!
Step-by-step explanation:
iM pReTtY sUrE iTs 10!?!?!?
Can someone help? It’s for geometry
Answer:
1. Angle GJF
2. Angle ICD
3. Angle ACG
4. 45 degrees
5. Angle ECJ
(Please help this is a test ;-;) The area of a rectangle is 130 millimeters^2. The length is 3 millimeters greater than its width. Let x represent the width of the rectangle. Which equation can be used to solve for x?
A. 3x^2 equals 130
B. x^2 + 3 = 130
C. x (x + 3) = 130
D. (x + 3)^2 = 130
Answer:
C
Step-by-step explanation:
L=X+3
LW=130
-substitute X+3 as L:
X(X+3)=130
The lengths of the sides of a triangle are 3, 3, 3 square root 2 Can the triangle be a right triangle?
The triangle can be a right triangle according to the Pythagorean theorem.
Explanation:To determine if a triangle is a right triangle, we can use the Pythagorean theorem. According to the Pythagorean theorem, in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side (hypotenuse).
In this case, the lengths of the sides are 3, 3, and 3√2. Let's calculate: (3)² + (3)² = 18 and (3√2)² = 18. Since the two values are equal, the triangle satisfies the Pythagorean theorem and can be a right triangle.
2 step equations that equal 18
Answer:
(2x6)+6
2x6=12
12+6=18
Final answer:
Two-step equations that equal 18 can be solved by performing two operations to isolate the variable, such as subtracting and then dividing, or adding and then dividing.
Explanation:
A student is asking for examples of two-step equations that result in an answer of 18. Two-step equations involve performing two operations to solve for the unknown variable. For instance, a simple two-step equation could be x/2 + 5 = 14, where you would first subtract 5 from both sides to get x/2 = 9, and then multiply both sides by 2 to find x = 18.
Another example could be 2x - 4 = 32. To solve this equation, you would first add 4 to both sides, resulting in 2x = 36, and then divide both sides by 2 to get x = 18.
These examples help students understand how to manipulate equations using addition, subtraction, multiplication, or division to isolate the variable and solve the equation.