At Superior Engraving, a trophy costs $12.50 and engraving on the trophy costs $0.40 per letter. At another store, Duluth Trophy, the same trophy costs $14.75 and engraving costs $0.25 per letter. How many letters must be engraved for the costs to be the same at both places?
Answer:
The answer is 15 words
Step-by-step explanation:
Taking the problem as a algebraic expression, we get
[tex]12.50 + 0.40x = 14.75 + 0.25x[/tex]
Now, subtracting 12.50 + 0.25x from both sides, we get
[tex]0.15x = 2.25[/tex]
Therefore,
No of words = 2.25/0.15 = 15
50 points and BRAINLIEST
Answer:
AZ = 12.80
Step-by-step explanation:
There are 2 triangles in the square XARS. Squares are always congruent, all sides are the same. Given that WT is 6, we can assume that RS is also 6 (because of congruency). RA is is the hypotenuse of the triangle ARS. To find AS, we can plug in the pythagorean theorem 6^2+x=^2=10^2. We end up getting square root of 64 which simplifies to 8. AS is now 8. We also know that ST is 6 since the square WRST has all congruent sides. 8+6=14 gives us line AT. TZ is 8 due to triangle XAR and the congruency theorem. Now we plug in pythagorean theorem to find AZ and we get 8^2+10^2=x^2. After simplifying the square root of 164, we see that AZ is equal to 12.80
Answer:
12.80
Step-by-step explanation:
SO IT IS 12.80 BECAUSE IT IS 12.80. SIMLIFY TO 12.8 SO YEAH!!
HOPE YOU UNDERSTAND.
Please help! I need help i keep getting them wrong
Answer:
[tex]y = \frac{7}{4}x - \frac{5}{4}[/tex]
Step-by-step explanation:
Equation of line K: [tex]y = \frac{-4}{7}x + 1[/tex]
m₁ = -4/7
The slope of line I = -1 / m₁ = -1÷(-4/7)
= [tex]-1 * \frac{-7}{4}[/tex]
= 7/4
( -5 , -10) ; m = 7/4
y - y1 = m(x - x1)
y - [-10] = [tex]\frac{7}{4}(x -[-5])[/tex]
y + 10 = [tex]\frac{7}{4}(x +5)\\[/tex]
y + 10 = [tex]\frac{7}{4}x+5*\frac{7}{4}\\[/tex]
[tex]y = \frac{7}{4}x + \frac{35}{4} - 10\\\\y = \frac{7}{4}x + \frac{35}{4} -\frac{40}{4}\\\\y = \frac{7}{4}x + \frac{35-40}{4}\\\\y = \frac{7}{4}x - \frac{5}{4}[/tex]
suzanna need a borad that is a least 3.5 meters long.Is the board long enogh
Answer:
sweet god yes it is unless she 12 feet tall then no
Step-by-step explanation:
Answer: No.
Step-by-step explanation: No, because 3.5 converted is 350 and you need 370. Might be to late but hopefully this can help someone else!
need help finding slope, x-intercept, and y-intercept
Step-by-step explanation:
count the slope, 5 up in 2.5 horizontal steps, slope = 5/2.5 or 2
x intercept is on the graph, 2.5
y intercept is also on the graph, -5
Answer:
slope = 5/2
x-intercept = 2.5
y intercept = -5
Step-by-step explanation:
x-intercept is when x is 0 something like ( 0, _ )
y intercept is when y is 0 something like ( _ , 0)
write in standard form if needed classify the polynomial 14y^2-x^2-3xy
Therefore, we can classify the polynomial as a quadratic polynomial.
What is polynomial?A polynomial is a mathematical expression that consists of variables and coefficients, and involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and may contain multiple terms. Each term consists of a coefficient and a variable raised to a power. The degree of a term is the power to which the variable is raised, and the degree of a polynomial is the highest degree of any of its terms. Polynomials are used in many areas of mathematics, science, and engineering, such as algebra, calculus, geometry, and physics. They are used to model real-world phenomena, to solve equations, and to approximate complex functions.
Here,
To write the polynomial 14y² - x² - 3xy in standard form, we need to arrange the terms in descending order of degree (highest degree term first) and combine like terms.
First, let's rearrange the terms:
x² - 3xy + 14y²
Now, the polynomial is in descending order of degree. We don't need to do anything else to put it in standard form.
To classify the polynomial, we count the number of terms and the highest degree of those terms. In this case, there are three terms and the highest degree term is 14y², which has degree 2.
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100 meters to 12 seconds for a runner to be on the team the ratio must be less thar or equal to 0.95 what is the slowest time 100 meters can be run to make the team
11.4 is the slowest time 100 meters can be run to make the team .
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Total time we spent 100 meters track = 12 sec
he ratio must be less that or equal to = 0.95
slowest time 100 meters can be run to make the team = 12 × 0.95
= 11.4
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The complete question is -
TRACK A college track coach compares the ratio of time it takes a runner to run 100 meters to 12 sec . For a runner to be on the team, the ratio must be less than or equal to 0.95 . What is the slowest time 100 meters can be run to make the team?
A game board with 17 spaces. Start, green, green, star, quesiton mark, question mark, star, question mark, green, cat town, green, green, star, question mark, green, green, star, green, end.
Suppose you rolled a twelve-sided number cube instead of a standard six-sided one. How would the probability of these events change?
The theoretical probability of landing on a star space on your first roll
.
The theoretical probability of not landing on a question mark on your first roll
.
The theoretical probability of reaching the end space on your first roll
.
Answer:
The theoretical probability of landing on a star space on your first roll
✔ decreases
The theoretical probability of not landing on a question mark on your first roll
✔ increases
The theoretical probability of reaching the end space on your first roll
✔ does not change
Answer:
1) Decreases
2) Increases
3) Does not change
Step-by-step explanation:
Can someone please help me with this!! I don't know how to do this
Answer:
length: 37
width: 11
Step-by-step explanation:
2(4x-7)+2x=96
8x-14+2x=96
10x-14=96
10x=110
x=11
Frank, Mauricio, Amber, and Tiana each set a goal to run 10 miles a week. This table shows how much of each runner's goal has been met. Which list shows the numbers in the table in order from least to greatest?
Answer:
Its 0.45, 67%, 4/5, 6/7
Step-by-step explanation:
4/5 - 0.80
0.45 - 0.45
6/7 - 0.85
67% - 0.67
Also I took the test
Plz help with number 18 thx
Answer:
a
Step-by-step explanation:
What is the slope of the line represented by the equation y=- } - 5x?
0 -5
or win win
O 5
Hurry please!
Answer:
The slope of the line represented by y = -5x is "-5".
Step-by-step explanation:
y=mx+b
M=slope
b=Y-intecerpt
Peter makes $15 an hour working at the grocery store and $12 an hour babysitting. He needs to make a minimum of $325 for a new bike. Which inequality best represents the situation, where g represents the number of hours at the grocery store and b represents the number of hours babysitting?
Answer:
15g + 12b ≥ 325
Step-by-step explanation:
g represents the number of hours at the grocery store
b represents the number of hours babysitting?
We are told that he need to make a minimum of: $325 for a new bike
Minimum means at least $325
Therefore, our inequality equation that best represents the situation is:
15g + 12b ≥ 325
solve for h : 17 - 4h = -16 + 11h
Answer:
h=2.2
Step-by-step explanation:
Giving all points
Solve for the constant of variation.
Find the Volume of the shape
Step-by-step explanation:
V = πr²*(h/3)
diameter = 6, r=3
V = π*9*(24/3)
= 81π
which is approximately
254.5 in³
While on a business trip to Belleville, Cindy treated her co-workers to a meal that cost $2.86. Cindy knew that when the bill came, she would need to pay Belleville sales tax of 15% and would want to leave an 18% tip on the original $2.86. Including tax and tip, how much did Cindy's meal cost?
Answer:
i think about $3.80
Step-by-step explanation:
Which function represents the relationship shown in the table?
Answer:
B
Step-by-step explanation:
The normal absolute value notation " | x | " does not round the value on the inside up or down. If 5.6 was the input, 5.6 would be the output.
I have not seen the notation in B before, but it is the only option available that seems logical enough to represent the pattern in the chart. The hooks on the bottom of the "|"'s appear to represent that it rounds down. If I were to answer this question, that would be my choice.
Are the expressions 3/4a + 8 - 1/4a - 2 and 1/2(a + 12) equivalent? Show why or why not.
Answer:Yes they are equivalent.
Step-by-step explanation:
3/4a + 8 - 1/4a - 2 1/2(a + 12)
Combine like terms Distributive property
2/4a+6 1/2a+6
2/4=1/2 (simplify)
1/2+6=1/2+6
Can somebody help me??
Answer:
Jon types 54 words per minute.
Step-by-step explanation:
If Jon typed 36 words in 2/3 of a minute, we need to divide 36 by 2.
36 ÷ 2 = 18
Therefore, Jon types 18 words in 1/3 of a minute. In order to find how many words are typed per minute, we must multiply 18 by 3.
18 x 3 = 54
Therefore, Jon types 54 words per minute.
Hope this helps! :D
What is 130% of 56 lbs.
Select the correct answer. Given the following formula, with A = 27 and t = 3, solve for r.
Making r the subject of the formula, r is solved as: B. r = (27 - P)/3P.
How to Solve the Subject of a Formula?Given the formula, A = P(1 + rt), where:
A = 27 and t = 3
To solve for r, make r the subject of the formula as shown below:
A = P(1 + rt)
Divide both sides by P
A/P = 1 + rt
Subtract 1 from both sides
A/P - 1 = rt
(A - P)/P = rt
Multiply both sides by 1/t
(A - P)/P × 1/t= rt × 1/t
(A - P)/Pt = r
r = (A - P)/Pt
Substitute A = 27 and t = 3 into the formula
r = (27 - P)/P3
r = (27 - P)/3P
Therefore, making r the subject of the formula, r is solved as: B. r = (27 - P)/3P
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While practicing her foul kicks for soccer, Louisa made 85% of her shots. If she made 51 shots, how many shots did she kick in total?
Answer:
the exact answer is 58.65
Step-by-step explanation:
since she made 85% of her shots, that means in total from her 51 shots, she made 115% more than 51 (you add 15% to 100%). The 15% is from the difference of 100% and 85%. You then change 115% to fraction form (1.15) and multiply it by the amount of shots made, getting you 58.65. Since you can't make a fraction in terms of a real life scenario like this, you prob need to round or something. Diff teachers want diff things
An ant went 2 meters away from its nest searching for food. The next time, the ant went 3 meters away. Each successive time the ant leaves the nest to search for food, the ant travels the sum of the two previous times. How far will the ant travel on his fifth trip?
Answer:
The first time, the ant went 2m away, then we have a₁ = 2m
The second time, the ant went 3m away, then we have a₂ = 3m
The next time, the ant went a distance equal to the sum of the two previous ones, so we can write it in a general case as:
aₙ = aₙ₋₁ + aₙ₋₂
Only if n > 2.
then the third time, we have n = 3.
a₃ = a₂ + a₁ = 2m + 3m = 5m
a₄ = a₃ + a₂ = 3m + 5m = 8m
a₅ = a₄ + a₃ = 5m + 8m = 13m
This means that in the fifth trip, the ant went 13 meters away from its nest.
And if we consider the fact that the ant must go and return, then it will move a total distance of 13 meters two times, or 2*13m = 26 meters.
1). 7x+(-6)=6x-2 True or False
2). 7+2x=3x+3=4 True or False
SHOW WORK
The first equation given as 7x + ( -6 ) = 6x - 2 is True.
The second equation given as 7 + 2x = 3x + 3 = 4 is false
How to find if the equation is true or false
Given data
7x + ( -6 ) = 6x - 2
7 + 2x = 3x + 3 = 4
The first equation
7x + ( -6 ) = 6x - 2
solving for x gives
7x - 6 = 6x - 2
7x - 6x = 6 - 2
x = 4
checking for the value
7x + ( -6 ) = 6x - 2
7 * 4 - 6 = 6 * 4 - 2
28 - 6 = 24 - 2
22 = 22
Hence we say the expression in the first equation is true
The second equation
7 + 2x = 3x + 3 = 4
7 + 2x = 3x + 3
7 - 3 = 3x - 2x
4 = x
checking for the value of x
7 + 2x = 3x + 3
7 + 2 * 4 = 3 * 4 + 3
7 + 8 = 12 + 3
15 = 15
15 = 15 ≠ 4 false
The first equation is true while the second equation is false
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I NEED HELP ASAP PLEASE!!!!!
Answer: 0.30 or 30 cents per ounce
Step-by-step explanation:
Triangle JKL has an area of in2 and a perimeter of in.
Answer:
Area = 24 in²
Perimeter = 24in
Step-by-step explanation:
To find the area given the length of the 3 sides:
a= 8in
b= 6.4in + 3.6in= 10in
c= 6in
Add them together:
8in + 10in + 6in
= 24in²
To find the perimeter you do the same thing:
a= 8in
b= 10in
c= 6in
Add them together
=24in
DO NOT SQUARE THE ANSWER WHEN FINDING PERIMETER
PLS HURRY I NEED HELP FAST
The list shows the number of hours Adamma was at swimming practice on each of
four days.
3.2 ,3 2/3 , 3.25 , 3 1/2
Which list shows these values in order from greatest to least?
A
3 2/3, 3 1/2, 3.25, 3.2
B
3.2 , 3.25, 3 1/2, 3 2/3
C
3.25, 3 2/3, 3 1/2, 3.2
D
3.25, 3.2, 3 2/3, 3 1/2
Answer:
A
Step-by-step explanation:
Rewritten as decimals, the numbers are 3.66, 3.50, 3.25, 3.20
A variable needs to be eliminated to solve the system of equations below. Choose the
correct first step.
8x + 6y = 66
8x - 4y = -4
A. Add to eliminate y.
B. Subtract to eliminate x.
C. Subtract to eliminate y.
D. Add to eliminate x.
Answer:the answer would B
Step-by-step explanation:
When you subtract the x will be eliminated because 8 -8 is 0
Hope it helps:)
A whale is swimming at a constant rate toward the ocean floor. The equation y = -9x − 5 can be used to represent this situation, where y is the depth of the whale in meters below sea level and x is the number of seconds the whale has been swimming. Which statement best describes the depth of the whale, given this equation?
Answer:
C. From a starting point of 5 meters below sea level, the whale is descending 9 meters per second.
Step-by-step explanation:
Which statement best describes the depth of the whale, given this equation?
A. From a starting point of 9 meters below sea level, the whale is descending 5 meters per second.
B. From a starting point of 9 meters below sea level, the whale is ascending 5 meters per second.
C. From a starting point of 5 meters below sea level, the whale is descending 9 meters per second.
D. From a starting point of 5 meters below sea level, the whale is ascending 9 meters per second.
Solution:
A linear equation is an equation in the form y = mx + b, where m is the rate of change (slope) and b is the initial value of y when x = 0, y is a dependent variable and x is an independent variable.
Given that: y = -9x - 5
Comparing with the equation of a straight line, m = -9 and b = -5
Since m = -9, The negative sign means descending, therefore the whale is descending at 9 meters per second.
b = -5, the negative sign means below sea level, hence the starting point of the whale is 5 meters below sea level,
Answer:
1.58
Step-by-step explanation: