Answer:
$0.25x + $0.05y = $5.45
Step-by-step explanation:
Recall that 1 nickel = $0.05
and 1 quarter = $0.25
Given that the jar contains x quarters and y nickels
The total amount of nickel in the jar
= $0.05y
The total amount of quarter in the jar
= $0.25x
Hence the total amount in the jar considering both nickels and quarters
= $0.25x + $0.05y
Since the jar contains $5.45
then
$0.25x + $0.05y = $5.45
This is the linear equation that represents the relationship between the number of quarters, the number of nickels, and the value of the coins in the jar
The time in Wellington is 11 hours ahead of the time in London. What time is it in Wellington when it is 6 15 am in London?
Answer:
5:15 pm
Step-by-step explanation:
Hope this helps!
Write the ratios for sin x, cos x and tan x
Answer:
sin(x)=[tex]\sqrt{119\\}[/tex] / 12, cos(x)=5/12, tan=[tex]\sqrt{119\\}[/tex] / 5
Step-by-step explanation:
segment YZ is length a, we need to find a
segment XZ is length 5
segment XY is length 12
XYZ is a right triangle, so a^2 + b^2 = z^2, so
a^2 + 5^2 = 12^2, simplify
a^2 + 25 = 144, subtract 25
a^2 = 119
a = [tex]\sqrt{119\\}[/tex]
then we can determine all the trig ratios
soh - cah - toa
sin = opp/hyp, cos=adj/hyp, tan=opp/adj
sin(x)=[tex]\sqrt{119\\}[/tex] / 12, cos(x)=5/12, tan=[tex]\sqrt{119\\}[/tex] / 5
A salesperson had $240, 000 in sales last year, which is 60% of the sales she had this year. Which equation could be used to determine x, the salesperson's total amount of sales, in dollars, for this year?
Answer: $400,000
Step-by-step explanation:
Let the salesperson's total amount of sales, in dollars, for this year be represented by x.
Therefore, 60% of x = $240,000
60/100 × x = $240,000.
0.6 × x = $240,000..
x = $240000 / 0.6
x = $400,000
Therefore, the salesperson's total amount of sales, for this year is $400,000.
A swim team ordered 36 jackets that each cost the same amount. The total cost of the order was $1,116. Let c be the cost of each jacket. How much did each jacket cost?
Answer:
c = $1116/36
c = $31
Step-by-step explanation:
the cost of each jacket can be determined by dividing the total cost of the 36 jackets by the number of jackets bought
cost of each jacket = total order cost / total number of jackets bought
$1116 / 36 = $31
Each jacket costs $31
1. (08.01, 8.02 MC) An expression is shown below: 2x3y2 + 18xy2 − 20x2y − 180y Part A: Rewrite the expression so that the GCF is factored completely. (4 points) Part B: Rewrite the expression completely factored. Show the steps of your work. (6 points) (10 points)
Answer:
A. 2y
B. (xy − 10)(2x²y + 18y)
Step-by-step explanation:
Part A: Rewrite the expression so that the GCF is factored completely.
2x³y² + 18xy² − 20x²y − 180y
Factoring y out, we have
(2x³y + 18xy − 20x² − 180)y
Factoring 2 out, we have
(x³y + 9xy − 10x² − 90)2y
So, the GCF is 2y and the expression factored is (x³y + 9xy − 10x² − 90)2y
Part B: Rewrite the expression completely factored.
2x³y² + 18xy² − 20x²y − 180y
Rearranging, we have
2x³y² − 20x²y + 18xy² − 180y
Separating them into brackets, we have
(2x³y² − 20x²y) + (18xy² − 180y)
Factorizing the expressions in bracket, we have
(xy − 10)2x²y + (xy − 10)18y
collecting like terms, we have
(xy − 10)(2x²y + 18y)
In the class election for president, Savannah won by a ratio of 4:1. If Savannah's opponent had 56 votes, how many students voted in total?
Answer:
64
Step-by-step explanation:
Answer:
61
Step-by-step explanation:
Which graph represents the linear function y=1/5x-2
Answer: The second one
Step-by-step explanation: Y-int is -2 and the slope is 1/5 so we know its going up but very slowly
what is x? plz help :)
Answer:
13
Step-by-step explanation:
using the Pythagorean theorem a²+b²=c²
or the two shorter sides square added together equal the longest side squared
5²+12²
5²=25
12²=144
144+25=169
then we just have to take the square root of 169
√169=12
have a great day :D
PLEASE SOMEONE HELP ME ON THIS ONE!!
Answer:
266.24 Ounces
Step-by-step explanation:
By taking the numbers provided as the inital liquid value and the additional subtraction of 3.84 ounces per day, we get the equation:
y = -3.84(x) + 320
By using this equation we will then add the 14 days as x to get
y = -3.84(14) + 320
y = -53.76 + 320
y = 266.24
rearrange the equation so X is the independent variable.
[tex] - 4x - 6 = 5y + 9[/tex]
Answer:
[tex]x=-1.25y-3.75[/tex]
Step-by-step explanation:
try adding 6 to both sides
-4x=5y+15
try dividing both sides by -4
x=-1.25y-3.75
plz help highly appreciated
Answer:
1a. y= -6x+30
1b. y= -6x-22
2a. y= 3x+2
2b. y= -1x+4
who wanna watch anime
Answer:
sure.
Step-by-step explanation:
dm on discord. xcyz#6022
anime is the way leave the earth for your waifu
what is 20 divided by 10 but to the power or 2
HELP PLSSSSSS MATH :(
Answer:
1. (2,3)
2. (7,-2)
3. (-4,-1)
4. No solutions
Step-by-step explanation:
Solve using substitution or elimination.
Which of the following situations are equal to 25%? 12 out of 60 3 out of 12 5 out of 20 9 out of 18 8 out of 32
Answer:
8/32;
Step-by-step explanation:
8/32 is equivalent to 1/4 which percentage is 25
Someone help me please help me!!!
The numbers 0.1, 12, 15 and 124 can all be classified as counting numbers?
Answer:
No
Step-by-step explanation:
Counting numbers are considered to be whole numbers greater than zero. Whole numbers are positive numbers without decimals or fractions, so 12, 15, and 124 can be classified as counting numbers, but not 0.1.
hope this helps!!!
A small business is looking for rectangular warehouses to store extra merchandise. Warehouse A has an area of 6900 ft2. Warehouse B is half as wide and one-third as long. How many square feet is Warehouse B?
Answer:
The area of the warehouse B is 1150 square feet.
Step-by-step explanation:
Let [tex]x[/tex], [tex]y[/tex] are the width and length of the warehouse A, in inches. The areas of the each warehouse are described below:
[tex]A_{A} = x\cdot y[/tex] (1)
[tex]A_{B} = \left(\frac{1}{2}\cdot x \right)\cdot \left(\frac{1}{3}\cdot y \right)[/tex] (2)
Where:
[tex]A_{A}[/tex] - Area of the warehouse A, in square inches.
[tex]A_{B}[/tex] - Area of the warehouse B, in square inches.
If we know that [tex]A_{A} = 6900\,ft^{2}[/tex], then by (1) and (2) we have the following equation:
[tex]A_{B} = \frac{1}{6}\cdot A_{A}[/tex]
[tex]A_{B} = 1150\,ft^{2}[/tex]
The area of the warehouse B is 1150 square feet.
Which graph represents the solution set of - 4x - y <- 6?
Answer: it’s D
Step-by-step explanation:
The Linear Inequality - 4x - y <- 6 represents option d, of the solution set.
What is Linear Inequality?
Expressions using linear inequalities compare any two values using inequality symbols like "," ">," "," or "." These values might be either numerical, algebraic, or both. Examples of numerical inequality include 1011 and 20>17, whereas algebraic inequalities include x>y, y19-x, and x z > 11 (also called literal inequalities). The mathematical equation when both sides are not equal is called an inequality. Inequality occurs when a connection compares two expressions or two numbers in an unequal manner. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to a symbol (), less than or equal to a symbol (), or not equal to a symbol (), is used in place of the equal sign "=" in the phrase. Polynomial inequality, rational inequality, and absolute value inequality are the many sorts of inequalities. The symbols "and ">" signify tight inequalities, whereas " and "signify slack inequalities. A linear inequality looks precisely like a linear equation, but the symbol connecting two expressions is different.
In the given question, we have given the graph of the inequality 4x - y <- 6, So, we need to find the best suitable graph that represents the graph of the given Inequality.
So, the Inequality is:
- 4x - y <- 6.
So, we can substitute the value of x and y;
So, substitute x = 1;
So, The y value will be less than 2;
That is:
y < 2;
Again let's put the value of x = -1;
we get the value of y as less than 10.
y<10;
So, by substituting the values as mentioned we can see that the value of y is decreasing.
So, by plotting the values in the graph, we can get the correct graph.
Hence, The correct answer is option d.
To learn more about Linear Inequality, visit:
https://brainly.com/question/24372553
#SPJ13
m(x)=-5/3x+4
Find m(3)
Answer:
-1
Step-by-step explanation:
Please enclose the fractional coefficient inside parentheses:
m(x) = (-5/3)x + 4
To find m(3), replace x in the above equation with 3:
m(3) = (-5/3)(3) + 4 = -5 + 4 = -1
The 7th term of the geometric sequence 13, 26, 52, 104, ... is
Answer:
832
Step-by-step explanation:
multiply the original number by 2, seven times.
¿Cuál es el valor absoluto de 9?
Sam picked 48 oranges in 5 minutes. How many oranges could she pick in 2 minutes?
Step-by-step explanation:
48 oranges in 5 minutes means she picked 48 oranges in 300 seconds.
Divide 48 by 300 to get what she would pick in one second.
This equals 0.16
Multiply 0.16 by 120 seconds [how many seconds are in two minutes].
This equals 19.2 oranges in two minutes. As she cannot pick 0.2 of an orange, she could pick 19.
A produção mensal de uma Olaria é de 5.000 tijolos nesse mês alvará produziu 3925 tijolos quantos tijolos ainda falta para completar a produção mensal
Responda:
1075 tijolos
Explicação passo a passo:
Dado que:
Número de tijolos produzidos Mensalmente = 5.000 tijolos
A quantidade de tijolos produzidos por licença = 3925
O número de tijolos que ainda faltam no valor mensal desejado:
Quantidade de produção mensal - quantidade produzida por licença
5000 - 3925 = 1075 tijolos
Evan bought a rectangular doormat that is 1_2 meter long and 3__10 meter wide. What is the area, in square meters, of the doormat?
Answer:
3/20 m²
Step-by-step explanation:
Here is the complete and clear question :
Evan bought A rectangular doormat that was 1/2 a meter long and 3/10 a meter wide. What is the area, in square meters, of the doormat?
Characteristics of a rectangle
A rectangle is a quadrilateral It has two parallel sidesthe diagonals of a rectangle bisect each other and they are equal in lengthArea of a rectangle = length x breadth
Area of the rectangular doormat = [tex]\frac{1}{2}[/tex] × [tex]\frac{3}{10}[/tex] = [tex]\frac{3}{20}[/tex] m²
An amusement park recently increased the cost of a family season pass. The original price was $150. The new price is $183. What was the percent of increase or markup?
Answer:
1.22%
Step-by-step explanation:
150 x 1.22 = 183
I need help with this question pls anybody?
Answer:
The second one, the third one.
Step-by-step explanation:
I NEED HELP !!!! PLEASEEEEEEEEEEEE
Help!!!!!!!!
I will mark you brainliest for the correct answer
Please help!!!!!!
This is a big test!!!!
Answer:
30 degrees
Step-by-step explanation:
its obtuse which is 90 degrees angle
Answer:
50
Step-by-step explanation:
all triangles angles add up to 180, add up the other 2 sides, then subtract from 180, 130, which means because of how triangles work, the other side must make it equal to 90, so 130+50=180.
11. x2 + x + 9 = 20
Solve equation using the quadratic formula write in irrational solutions in simplest radical form
problem 1: x^2 + 4 = 0 , x^2 = -4 , this problem has no real solution because x = 2i which is an imaginary number
problem 2: x^2 +x -6 = 0 , (x + 3)(x - 2) =0 , x = 2 or x = -3
problem 3: x^2 -6x +7 =0 , (x^2 -6x +9) - 2 =0 , (x - 3)^2 = 2 , x-3 = √2 , x = 3+√2 or x - 3 = -√2 , x = 3 - √2