Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (6, - 3)
m = [tex]\frac{-3-5}{6+2}[/tex] = [tex]\frac{-8}{8}[/tex] = - 1
Which expression is equivalent to 1/5(15+10x-5)
Answer:
simplify the expression: 2x+2
Step-by-step explanation:
The equivalent expression of the given expression is is 2 + 2x
To solve this expression, we should simply proceed to multiply the value outside the bracket and simplify.
steps required;
collect like termsmultiply through the bracket by the value outsideCollect like termsThis is done to add up or subtract similar or like values with each other.
[tex]\frac{1}{5}(15+10x-5)=\frac{1}{5}(15-5+10x)=\frac{1}{5}(10+10x)\\[/tex]
Multiply ThroughMultiply the entire value inside the bracket by 1/5.
[tex]\frac{1}{5}(10+10x)=2+2x[/tex]
This is the simplified expression of what we are given.
The equivalent expression is 2 + 2x.
Learn more about expressions here;
https://brainly.com/question/2972832
What percent of 20 is 10
Answer:
50%
Step-by-step explanation:
cause 50% is 1/2 and 1/2 of 20 is 10
Answer: 50%
Step-by-step explanation:
10 is half of 20.
Half converted to a percent is 50%
The product of 576 and 684 is irrational or rational
The product of 576 and 684 is a rational number since it results in an integer, which is a subset of rational numbers.
Explanation:The product of 576 and 684 is asked to be classified as rational or irrational. The multiplication of two integers will always produce another integer, as is the case with 576 multiplied by 684. Since all integers are rational numbers (they can be expressed as the ratio of two integers), the product, in this case, is also a rational number.
Therefore, the product of 576 and 684 is rational because it can be expressed as a ratio of the two integers (the product itself over 1), fitting the definition of a rational number which includes integers, fractions, finite decimals, and repeating decimals.
Final answer:
The product of 576 and 684 is a rational number because the multiplication of two integers always results in another integer.
Explanation:
The question asks whether the product of 576 and 684 is rational or irrational. A rational number is a number that can be expressed as a ratio of two integers. Since both 576 and 684 are integers, their product will also be an integer, as the multiplication of two integers always results in another integer. Therefore, this product is definitely a rational number. An irrational number, by contrast, cannot be expressed as such a ratio, and is typically found with non-repeating, non-terminating decimal expansions or with numbers like the square root of a non-square number. However, as there is no square root or any other irrational operation involved in multiplying 576 and 684, the result is rational.
Postage stamps cost $0.37 each. How much does a book of 50 stamps cost?
Answer:
$18.50
Step-by-step explanation:
.37×50 = 18.5
$18.50
Answer:
$18.50
Step-by-step explanation:
GIven
1 stamp ----> $0.37
50 stamps ------> $0.37 x 50 = $18.50
telephone company charges a fixed monthly rate plus a rate per megabyte of data used. The company charges $120 for 100 megabytes of data and $95 for 50 megabytes of data. An equation can be written to show the relationship between the total megabytes of data used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph?
Draw a graph that joins the points (100, 120) and (50, 95) and has a slope = 0.50
Draw a graph that joins the points (100, 120) and (50, 95) and has a slope = 2
Draw a graph that joins the points (120, 100) and (95, 50) and has a slope = 2
Draw a graph that joins the points (120, 100) and (95, 50) and has a slope = 0.50
Answer:
The correct answer is A. Draw a graph that joins the points (100, 120) and (50, 95) and has a slope = 0.50
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
Total of megabytes of date used = x
Total monthly charges = y
x₁ = 50 Megabytes, x₂ = 100 Megabytes
y₁ = US$ 95, y₂ = US$ 120
2. Let's find out the best description of the steps to draw the graph and the slope.
Slope = (y₂ - y₁)/ (x ₂- x₁)
Slope = 120 - 95/ 100 - 50
Slope = 25/50 = 1/2 = 0.50
Remember that the coordinates of the points in the line are written this way:
(x, y) ⇒ (Total of megabytes of date used, Total monthly charges)
The correct answer is A. Draw a graph that joins the points (100, 120) and (50, 95) and has a slope = 0.50
Answer:
a
Step-by-step explanation:
100% on test
a chain saw rental for $12 a day. A sharpening fee of $5 is charged for each rental. write an equation for the number of dollars (y) that must be paid to rent a chain for x days. How many days can one rent a chain saw for a cost of $125?
Answer:
y= 12x+5 and It would be 10 days.
Step-by-step explanation:
Y= total
+5 = each rental
X= # of days
125= 12x+5; x=10
The equation to determine the cost of renting a chainsaw for x days is y = 12x + 5. For a cost of $125, one can rent the chainsaw for 10 days.
To write an equation for the number of dollars (y) that must be paid to rent a chainsaw for x days, take into account the daily rental fee and the one-time sharpening fee. The daily rental fee is $12, and there is an additional one-time sharpening fee of $5 for each rental. The total cost y is therefore the sum of the daily rental fees for x days and the sharpening fee.
The equation is:
y = 12x + 5
To find out how many days one can rent a chainsaw for a cost of $125, we can set y equal to $125 and solve for x:
125 = 12x + 5
Subtract 5 from both sides to get:
120 = 12x
Divide both sides by 12 to solve for x:
x = 10
Therefore, one can rent a chainsaw for 10 days at a cost of $125.
a bakery used 25% more butter this month than last month if the bakery use 240 kg of butter last month how much butter did he use this month
Answer: [tex]300\ Kg[/tex]
Step-by-step explanation:
Let be "x" the amount of butter (in kilograms) that the bakery used this month.
You need to divide the percentage by 100 in order to write it in decimal form. This is:
[tex]\frac{25}{100}=0.25[/tex]
According to the data given in the exercise, the total amount of butter they used last month is 240 kilograms.
Since 25% more butter was used this month than last month, you can write the folllowing equation:
[tex]x=240+(240 )(0.25)[/tex]
Evaluating, you get that the value of "x" is:
[tex]x=240+60\\\\x=300[/tex]
Therefore, the bakery used 300 kilograms of butter this month.
Final answer:
The bakery used 300 kg butter this month.
Explanation:
If a bakery used 25% more butter this month than last month and it used 240 kg of butter last month, then to calculate the amount of butter used this month, we need to add an additional 25% to the amount from last month. To find 25% of 240 kg, you multiply 240 kg by 0.25 (since 25% is the same as 0.25 when expressed as a decimal).
25% of 240 kg = 240 kg × 0.25 = 60 kg
Now, we add that 60 kg to the original 240 kg to find the total amount of butter used this month.
Total amount of butter used this month = 240 kg + 60 kg = 300 kg.
Therefore, the bakery used 300 kg of butter this month.
Tommy's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 51 regular sodas and 34 diet sodas. What percentage of the sodas served were regular?
Answer:
72
Step-by-step explanation:
How many grams of hydrogen must react if the reaction needs to produce 31.75 g of NH3
Answer:
5.603 g H2
Step-by-step explanation:
M(NH3) = 14 + 1*3 = 17 g/mol
M(H2) = 2*1 = 2 g/mol
3H2 + N2 -----> 2NH3
from reaction 3 mol 2 mol
from reaction 3*2 g 2*17 g
given x g 31.75 g
We can write a proportion.
(3*2)/x = 2*17/31.75
(2*17)x = (3*2)*31.75
x = (3*2)*31.75/(2*17) = 3*31.75/17 =5.603 g H2
This package of cheese costs $2.97 (there are 11 slices of cheese)
How much would a package with 18 slices cost at the same pruce per slice?
Answer:
$4.86
Step-by-step explanation:
2.97/11 =.27 .27 x 18= 4.86
Answer:
4.86
Step-by-step explanation
What is 1/6 times 1/5
Answer: 1/30
Step-by-step explanation:
11. In 2010, the population in the United States will be about 3.09x10'. Spending for health care will be
about $8754 per person. About bow much will the US spend on health care in 2010? Write in scientific
notation and round to the ncarest hundredths.
Answer:
[tex]\$ 2.70\times 10^{12}[/tex]
Step-by-step explanation:
Complete question is here: In 2010, the population in the United States will be about 3.09x10^8. Spending for health care will be about $8754 per person. About how much will the US spend on health care in 2010? Write in scientific notation and round to the nearest hundred.
Given: Per person expenditure on healthcare is $8754.
Total population in 2010 is 3.09x10^8.
Now, lets find out total money U.S will spend on health care.
[tex]\textrm{Total population} \times amount\ spent\ per\ person\ on\ healthcare}[/tex]
= [tex]8754\times 3.09\times 10^{8} = 27049.96\times 10^{8}[/tex]
= [tex]\$ 2.705\times 10^{12}[/tex] ≅ [tex]\$ 2.70\times 10^{12}[/tex]
∴ In 2010, U.S will spend [tex]\$ 2.70\times 10^{12}[/tex] on health care.
Answer:
about $2.70 × 1012
Step-by-step explanation:
$8754(3.09 × 108)
= $27,049.86 × 108
≈ $2.70 × 1012
Mary and Lamar establish a tutoring service at a local mall. They tutor college students in math and English. They charge $40 per hour for tutoring. In the month of January they charged for 200 tutoring hours. The expenses of their business are given in the table below. Expense Amount/Month Rent of Space $4000 Electricity $325 Advertising $375 Using the formula Profit = $40(number of hours) – (expenses) , calculate their profit for the month of January.
Answer:
8000
Step-by-step explanation:
Answer: The profit is $3300
Step-by-step explanation:
The data we have is:
They charge $40 per hour.
In january, the charged for 200 hours.
The expenses are:
rent $4000
electricity $325
advertising $375
if we want to know the balance we must calculate:
The total expenses are: $4000 + $325 + $375 = $4700
The amount that they won is: $40*200 = $8000
Then the profit will be:
P = $40*200 - ($4000 + $325 + $375) = $8000 - $4700 = $3300
bernard ate part of a small pizza he started with 11/12 of a pizza but only ate 2/3 of it. Which is the best estimate of the amount bernard ate
Answer:1/4
Step-by-step explanation:
11/12 - 2/3
22/24 - 16/24 =6/24= 1/4
Carol wants to make a quilt using a scale of 1.5 inches=2 feet. Her scale drawing is 7.5 inches by 10.5 inches. What is the area of the actual quilt?
_[blank]_ square feet
I will mark the first one to answer my question brainleist
Answer:
140 ft
Step-by-step explanation:
From the equation, find the axis of symmetry of the parabola.
y = x^2+ 3x + 1
A. X= 3/2
B. Y= 1
C. X=3
D. X= -3/2
Answer:
D
Step-by-step explanation:
Quadratic has a general form of:
[tex]ax^2 + bx + c = 0[/tex]
The quadratic given here is:
[tex]y = x^2 + 3x + 1[/tex]
Matching it with the general form, we can see that:
a = 1 [coefficient of x^2]
b = 3
c = 1
Now, if we look at the formula for axis of symmetry, we can easily solve this out. The axis of symmetry is given by:
Axis of Symmetry is [tex]x=-\frac{b}{2a}[/tex]
We know a = 1 and b = 3, so we have:
[tex]x=-\frac{b}{2a}\\x=-\frac{3}{2(1)}\\x=-\frac{3}{2}[/tex]
Hence,
D is the correct answer.
Answer:
is D
Step-by-step explanation:
gcf of 35 and 15 and 3
Answer:
1
Step-by-step explanation:
Greatest Common Factor is the highest number that divides exactly into two or more numbers. It is the "greatest" thing for simplifying fractions.
No number (except 1) is divisible by both 35, 15, and 3. Therefore, the GCF is 1.
Answer:
35: 5×7 GCF: 5×3=15
15: 5×3
3: 1×3
Step-by-step explanation:
35 15 3
/ \ / \ / \
5 × 7 3 × 5 1 × 3
25 divided by 1750 if u know the answer ur smart
Answer:
70 would be the answer to this question....apparently.
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
25 divided by 1750 = 70
subtract 1750 to 175 =
00 subtract 00 = 00
overall 70 is your answer in long division
Max bought a 100-page journal and writes 1 page per day. Pat bought a 200-page journal and writes 3 pages per day. The equation below can be solved to find the number of days ( d ) until they will have the same number of pages left in their journals. −d + 100 = −3d + 200 In how many days ( d ) will Max and Pat have the same number of pages left in their journals?
Answer:
d=50
Step-by-step explanation:
-d+100=-3d+200
Subtract 100 from both sides
-d+100-100=-3d+200-100
Simplify
-d=-3d+100
Add 3d to both sides
-d+3d=-3d+100+3d
Simplify
2d=100
Divide both sides by 2
\frac{2d}{2}=\frac{100}{2}
Simplify
d=50
Answer:
In 50days
Step-by-step explanation:
Since the equation below can be used to find the number of days (d) until they will have the same number of pages left in their journals −d + 100 = −3d + 200, this equations will be solved to get 'd'
Given the equation;
−d + 100 = −3d + 200
Collecting like terms we will have;
-d+3d = 200-100
2d = 100
d = 50
This shows that Max and Pat will have the same number of pages left in their journals in 50days.
What is the value of 3/y if y = 1 2/3?
Answer:
9/5
Step-by-step explanation:
1 2/3=5/3
3/(5/3)=(3/1)(3/5)=9/5
ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements. An object moves in uniform circular motion at 25 m/s and takes 1.0 second to go a quarter circle. What is the radius of the circle? R = _____ m 0.063 m 0.99 m 16 m 50. m
Answer: 16 m
Step-by-step explanation:
We have the following data:
[tex]V=25 m/s[/tex] is the velocity of the object moving in uniform circular motion
[tex]t=1 s[/tex] is the time it takes to the object to go [tex]\frac{1}{4}[/tex] of a complete circle
We need to find the radius [tex]r[/tex] of the circle, and this can be found by the following equation:
[tex]V=\frac{2 \pi r}{T}[/tex] (1)
Where [tex]2 \pi r[/tex] is the circumference of the circle and [tex]T=4 t=4(1 s)[/tex] is the period for a complete circle.
Hence, isolating [tex]r[/tex] we have:
[tex]r=\frac{V T}{2 \pi}[/tex] (2)
[tex]r=\frac{(25 m/s)(4 s)}{2 \pi}[/tex] (3)
Finally:
[tex]r=15.9 m \approx 16 m[/tex] (4)
The sum of 3 times a and b
Answer:
3+(axb)
Step-by-step explanation:
The algebraic representation of the expression The sum of 3 times a and b is 3a + b
How to determine the algebraic representation of the expressionFrom the question, we have the following parameters that can be used in our computation:
The sum of 3 times a and b
By definiton:
sum means plus
Using the above as a guide, we have the following:
3 * a + b
When solved, we have
3a + b
Read mroe about expressions at
brainly.com/question/30492964
#SPJ3
Question
Translate the sentence into an algebraic expression
The sum of 3 times a and b
A store owner sells two pairs of running
shoes for each pair of high tops.
He plans to order 144 pairs of shoes
How many pairs should be high tops?
Answer:
He will order 72 pairs of high tops
Explanation:
Given the store owner sells two pairs of running shoes for each pair of high tops
For every pair of high tops, he sells 2 pairs of running shoes
1 high top = 2 running shoes
He has planned to order 144 pairs of shoes
Therefore, 144 pair of running shoes = 144/2 = 72 pairs of high tops
Therefore, he will order 72 pairs of high tops
I have the first part but I don't know how to do the second part
h e l p
[tex]\bf \begin{array}{cll} \stackrel{ordinal}{position}&\stackrel{term}{value}\\ \cline{1-2} 1&12\\ 2&12+d\\ 3&12+d+d\\ 4&12+d+d+d\\ &12+3d \end{array}\qquad \implies ~\hfill \begin{array}{llll} \stackrel{\textit{4th term}}{12+3d}~~=~~\stackrel{\textit{4th value}}{3}\\\\ 3d=-9\implies d = \cfrac{-9}{3}\\\\ \stackrel{\textit{common difference}}{d = -3} \end{array}[/tex]
well, we know the common difference is -3, to go from the 4th term to the 8th term, we need to add "d" 4 times or namely 3+4(-3), likewise to go from the 13th term to the 19th term we have to add "d" 6 times, or namely -24 + 6(-3).
[tex]\bf \stackrel{\textit{8th term}}{3+4(-3)}\implies 3-12\implies -9 \\\\\\ \stackrel{\textit{19th term}}{-24 + 6(-3)}\implies -24-18\implies -42[/tex]
Write a number that completes analogy:
x² is 441 as x³ is to.............
Answer:
9261
Step-by-step explanation:
the problem is payed out like this formula
x² = 441
you take the square root of 441 to find x which is 21 and then you just take cubic of 21 which is 9261
Answer:
9261
Step-by-step explanation:
x² = 441
you take the square root of 441 to find x which is 21 and then you just take cubic of 21 which is 9261
What is the solution to the linear equation?
d – 10 – 2d + 7 = 8 + d – 10 – 3d
d = –5
d = –1
d = 1
d = 5
The solution to the linear equation d – 10 – 2d + 7 = 8 + d – 10 – 3d is d = 1.
EquationAn equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
d – 10 – 2d + 7 = 8 + d – 10 – 3d
Simplifying:
-d - 3 = -2d - 2
Collecting like terms:
-d + 2d = -2 + 3
d = 1
The solution to the linear equation d – 10 – 2d + 7 = 8 + d – 10 – 3d is d = 1.
Find out more on Equation at: https://brainly.com/question/2972832
A pole that is 3.5 m tall casts a shadow that is 1.66 m long. At the same time, a nearby building casts a shadow that is 4.5 m long. How tall is the building?
Answer:
About 9.5 meters tall. Make sure to include the meters and the wiggly equal sign indicating about
Step-by-step explanation:
This is just a ratio
1.66:3.5 = 4.5:x
Cross multiply
1.66x = 15.75
Divide by 1.66 on both sides
x = about 9.5
PLZ HELP ME WILL GIVE BRAINLIEST
1. Explain how 2 x 10^-4 is the same as 2 ÷ 10^4 using expanded notation.
3. Explain the difference between (-10)^2 and -10^2. What are the values of each expression?
4. Explain the power of products property and give an example.
Answer:
1. [tex]2 \times 10^{- 4} = 2 \div 10^{4}[/tex]
2. [tex](- 10)^{2} = 100[/tex] and [tex]- 10^{2} = - 100[/tex]
3. [tex](a.b.c. ........)^{n} = a^{n}.b^{n}.c^{n}. ..........[/tex]
Example: [tex](30)^{4} = (2 \times 3 \times 5)^{4} = 2^{4} \times 3^{4} \times 5^{4}[/tex]
Step-by-step explanation:
1. We have [tex]2 \times 10^{- 4}[/tex], and we have to prove that this term is equivalent to [tex]2 \div 10^{4}[/tex].
Now, [tex]2 \times 10^{- 4}[/tex]
= [tex]2 \times \frac{1}{10^{4} }[/tex]
{Since we know the property of exponent as [tex]a^{- b} = \frac{1}{a^{b} }[/tex] }
= [tex]\frac{2}{10^{4} }[/tex]
= [tex]2 \div 10^{4}[/tex]
2. [tex](- 10)^{2} = (- 10) \times (- 10) = 100[/tex] and
[tex]- 10^{2} = - [(10) \times (10)] = - 100[/tex]
3. The power of products property gives
[tex](a.b.c. ........)^{n} = a^{n}.b^{n}.c^{n}. ..........[/tex] ........ (1)
For example, we can write, [tex](30)^{4} = (2 \times 3 \times 5)^{4} = 2^{4} \times 3^{4} \times 5^{4} = 810000[/tex]
0.0398 rounded to the nearest cent
Answer:
0.04
Step-by-step explanation:
0.0398
when rounding if its over 5 you round up if its under you round down
The number 0.0398 rounded to the nearest cent; is 0.04.
According to the question;
We are required to round off 0.0398 to the nearest cent.To round off to the nearest cent;
We must know that cents is synonym for Hundredths;
The number to be rounded off is 0.0398In essence, since 9 which is after the digit, 3 which occupies the hundredth position is greater than 5; it is rounded off to 1 and added to 3.Consequently; 0.0398 rounded to the nearest cent is 0.4
Read more:
https://brainly.com/question/21938149
The figures below show a pattern.
Find the expression that could be used to determine the number of squares in the nth figure.
Answer:
The number of blocks in the nth figure will be (3n + 1).
Step-by-step explanation:
See the attached figure where few arrangements are there.
The number of blocks in the first arrangement is (3 + 1)
Now, the number of blocks in the second arrangement is (3 × 2 + 1)
Again, the number of blocks in the third arrangement is (3 × 3 + 1)
So, the pattern says that the number of blocks in the nth arrangement will be (3 × n + 1) = (3n + 1) (Answer)