Answer:
y=5-5/4x
Step-by-step explanation:
slope-intercept form: y=mx+b (m= slope, b= y-intercept)
5x + 4y = 20
4y=20-5x
simplify
y=5-5/4x
A certain brand of coffee comes in two sizes. An 11.3-ounce package costs $2.88. A 27.8-ounce package costs $6.48.
Find the unit price for each size. Then state which size is the better buy based on the unit price.
Round your answers to the nearest cent.
Answer:
unit price for 11.3-ounce package = $0.25
unit price for 27.8-ounce package = $0.23
27.8-ounce package is the better buy
Step-by-step explanation:
An 11.3-ounce package costs $2.88. A 27.8-ounce package costs $6.48.
a) 11.3-ounce package
11.3 ounces = $2.88
1 ounce = $2.88 ÷ 11.3
1 ounce = $0.25
b) 27.8-ounce package
27.8 ounces = $6.48
1 ounce = $6.48 ÷ 27.8
1 ounce = $0.23
$0.25 > $0.23
Anthony is laying concrete for a driveway. The driveway is to be 24 feet long by 11 feet wide by 8 inches deep. Answer parts (a) through (c)
(a) Determine the volume of concrete needed in cubic feet.
(b) If 1 cubic yard = 27 cubic feet, how many cubic yards of concrete are needed?
(c) If the concrete costs $36 per cubic yard, what is the cost of the concrete? Concrete must be purchased in whole cubic yards
Answer:
a) The volume of concrete needed in cubic feet is 2,112. b) The number of cubic yards of concrete needed in cubic yards is about 79. c) The cost of the concrete using cubic yards is $2,844.
Step-by-step explanation:
a) The formula of the volume is l*w*d. 24 * 11 * 8 = 264 * 8 = 2,112.
b) The way to find this is that you take 2,112 and divide it by 27. Since the answer is 78.2 repeating, you round it up to 79 so it will fill up all of the concrete.
c) Since you need 79 cubic yards of concrete, you do 79 multiplied by $36 to get the total cost of $2,844.
The sum of two real numbers is 8 and their product is 14. What is the sum of their reciprocals?
Answer:
Step-by-step explanation:Let our two numbers be a and b . Then we can see that a+b=8 and ab=15 . Now consider
(a+b)3=a3+3a2b+3ab2+b3 by the binomial expansion. Now we have all the information to solve this, observe since a+b=8 and ab=15 . We have
(8)3=a3+3ab(a)+3ab(b)+b3
a3+b3+3ab(a)+3ab(b)=83
a3+b3+3ab(a+b)=83
a3+b3=83−3ab(a+b)
a3+b3=83−3(15)(8)=512−360=152
You can also observe that 3 and 5 fulfill those conditions so, then 33+53=27+125=152 . Which is our result.
What is 2 1/2 feet to inches?
Actual question:
1 foot=12 inches
2 1/2 feet= blank inches
IREADY!!
thanks :)
what is the value of 4/5(8+7)-2/3(8+7)
Answer:
The answer is 2.
Hope this helps and if you could mark this as brainliest. Thanks!
Elijah builds model airplanes at a constant rate. He can build 5 model airplanes in 150 minutes, and 10 model airplanes in 300 minutes. How long would it take him to build 15 model airplanes.
Answer:
450 minutes
Step-by-step explanation:
Since Elijah can build 5 model airplanes in 150 minutes. He can build 1 model airplane in 30 minutes. To find this you divide 150 by 5. The question asks for how many minutes it would take Elijah to build 15 model airplanes. Since 1 x 15 = 15 model airplanes, you use proportions and also multiple the time by 15, so 30 x 15 = 450 minutes.
Answer:
450 Minutes or 7 hours 30 minutes
Step-by-step explanation:
Because the rate of Sets to minutes is 1:30 for every 1 he builds it take 30 minutes so 30 x 15 = 450 or 150 x 3 because every 5 sets there 150 minutes
Hope this helped :)
Determine the remaining sides and angles of the triangle ABC
what is the measure of angle B
what is the length of side a
what is the length of side b
Answer:
The measure of angle B is 41.5°
The length of side a is 30.6 feet ⇒ to the nearest tenth
The length of side b is 32.9 feet ⇒ to the nearest tenth
Step-by-step explanation:
The sum of the measures of the interior angles in a triangle is 180°In the given Δ ABC
∵ m∠A = 38.1°
∵ m∠C = 100.4°
→ By using the fact above
∵ m∠A + m∠B + m∠C = 180°
∴ 38.1 + m∠B + 100.4 = 180
→ Add the like terms in the left side
∴ 138.5 + m∠B = 180
→ Subtract 138.5 from both sides
∴ m∠B = 41.5°
∴ The measure of angle B is 41.5°
∵ a is the opposite side of ∠A
∵ b is the opposite side of ∠B
∵ c is the opposite side of ∠C
→ By using the sine rule
∴ [tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
∵ c = 48.4 ft, m∠A = 38.1°, m∠B = 41.5°, and m∠C = 100.4
→ Substitute them in the sine rule above
∴ [tex]\frac{a}{sin38.1}[/tex] = [tex]\frac{b}{sin41.5}[/tex] = [tex]\frac{48.4}{sin100.4}[/tex]
→ By using cross multiplication between the 1st and the 3rd fractions
∴ a × sin 100.4 = 48.8 × sin 38.1
→ Divide both sides by sin 100.4
∴ a = 30.61429861
∴ The length of side a is 30.6 feet ⇒ to the nearest tenth
→ By using cross multiplication between the 2nd and the 3rd fractions
∴ b × sin 100.4 = 48.8 × sin 41.5
→ Divide both sides by sin 100.4
∴ b = 32.87596206
∴ The length of side b is 32.9 feet ⇒ to the nearest tenth
what ratio is equavelent to 5:4
Answer:
the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.
Step-by-step explanation:
the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.
A board measures 15 meters in length and is cut into two pieces. One-piece measures 7 meters. Write an equation to find the length of the other piece?
Pls help
Answer: 7.2 + L= 19.5
Mike can stitch 7 shirts in 42 hours how long will it take to stitch 1 shirt
Answer:
42/7 is 6 so it would take Mike 6 hours to stich 1 shirt please give brainliest
Step-by-step explanation:
7+5(x−3)=227, plus, 5, left parenthesis, x, minus, 3, right parenthesis, equals, 22 a true statement?
Answer:
x = 47
Step-by-step explanation:
Given the equation :
7+5(x−3)=227
Expand the equation :
7 + 5x - 15 = 227
5x = 227 + 15 - 7
5x = 235
x = 235 /5
x = 47
Statement is true at x = 47
What is a proportional relationship?
Answer:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality
Step-by-step explanation:
In Oscar's grade, 70 students are enrolled in health and 30 students are not. What
percentage of the students in the school are enrolled in health?
Write your answer using a percent sign (%).
Answer:
70%
Step-by-step explanation:
Step 1:
70 + 30 = 100 Add
Step 2:
Total of 100 Students
Step 3:
70/100 Divide
Answer:
70%
Hope This Helps :)
Answer:
70% of the students are enrolled in health class.
Step-by-step explanation:
We are given that there are 70 students enrolled in health and that 30 are not. Therefore, we need to determine the total number of students in Oscar's grade.
[tex]70 + 30 = 100[/tex]
Oscar has 100 students in his grade. If 70 of those students are enrolled in health, we can divide those students by the total number of students and convert our fraction to a decimal and then a percentage.
[tex]\displaystyle\frac{70}{100} = \frac{7}{10} = 0.7\\\\0.7 \times 100 = 70\%[/tex]
Therefore, 70% of the students are enrolled in health class.
An ant starts walking along a parabola, y(x)=x^2 starting from the point where x=3 He walks until a point where x=3+a where a is a positive number. What is the y-coordinate of the point that he is at now?
plz no bs answers
Answer:
the y co-ordinate > 9
Step-by-step explanation:
I just graphed y = x^2 found the point where the x - axis was 3, found that the y co-ordinate was 9 and if you were to add any positive number the y co-ordinate would only get larger!
Hope this helps!
Equa
Problem 1
3z - 4 = 52 - 12
Answer:
z=44/3
Step-by-step
Subtract the numbers 52-12=40
3z-4=40
Add 4 to both sides
3z-4+4=40+4
SImplify
3z=44
Divide both sides by 3
3z/3 = 44/3
z=44/3 or decimal form= 14.66
How many lines of symmetry does this figure have?
[Note: The black ball is part of the figure.]
A) 0
B) 1
C) 5
D) 10
Answer:
The answer is B) 1
Step-by-step explanation:
balls
Six plus five times a number is more than the
number plus eight. Write an inequality and
solve it.
Answer:
x > 0.5
Step-by-step explanation:
Let the number be x.
6 + 5x > x + 8
4x > 2
x > 0.5
This is a question on inequalities. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
the product of 0.43 and 5.024 is greater than 0.43 and less than 5.024 true or false
Answer: True
Step-by-step explanation:
First find the product of 0.43 and 5.024 so see if it is greater than 0.43.
0.43 * 5.024 = 2.16032
2.16032 is indeed greater than 0.43 , 2.16032 > 0.43
And 0.43 is indeed less than 5.024 , 0.43 < 5.024
Meaning that this state is true.
Answer:
True
Step-by-step explanation:
Product refers to multiplication, the question is telling us to multiply 0.43 and 5.024 so lets do that
0.43 * 5.024 = 2.16032
Now we have to figure out if this fits the criteria. It must be larger than 0.43 but smaller then 5.024
...
...
...
That checks out.
True
Brainliest is much appreciated!
Each bottle of perfume contains 2.1 fluid ounces of perfume. The store sells 30 bottles. How many fluid ounces of perfume did the store sell in total
Answer:
63
Step-by-step explanation:
Answer:
Step-by-step explanation:so did u pass the edulastic test
4. A county clerk has a given amount of money to budget for cultural events. Cultural Events
based on the scattplot, what does the point(0,18)represent?
A.the total amount of the budget givin to the country
B.
the total amount of the budget spent after 18months
C.the average amount spend out of the budget each month
D.the predicted amount of time after which the entire budget will be spent
Step-by-step explanation:
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A submarine started at the
surface of the water and was moving underwater at
22 feet per minute toward the ocean floor. The submarine traveled at this rate
for 75 minutes before coming to rest on the ocean floor. Which of the following
integers represent the depth of the ocean floor in feet?
Answer:
1650
Step-by-step explanation:
75x22+1650
Will the solution to the following equation be positive or negative? b ÷ -2 = 5 positive negative
Answer:
I think that it is negative
Step-by-step explanation:
A wave is traveling with a speed of 500 m/sec and has a wavelength of 10 m. Determine its frequency.
Answer:
I'm gonna get more people here
Answer:
50 hz yw pplz
Step-by-step explanation:
how do I know how many extraneous solutions there is
Answer:
how do u know how many extraneous solutions there is?
Step-by-step explanation:
To find whether your solutions are extraneous or not, you need to plug each of them back in to your given equation and see if they work. It's a very annoying process sometimes, but if employed properly can save you much grief on tests or quizzes.
Answer: To find whether your solutions are extraneous or not, you need to plug each of them back in to your given equation and see if they work. It's a very annoying process sometimes, but if employed properly can save you much grief on tests or quizzes
Step-by-step explanation:
Please can I have brainliest I need one more to rank up
How do you do this question?
Answer:
-1
Step-by-step explanation:
dy/dt = y² − 1 = (y + 1) (y − 1)
At t = 0, y = 0, and dy/dt = -1. Therefore, y is initially decreasing.
As y decreases, dy/dt increases. When y = -1, dy/dt = 0 and changes signs from negative to positive.
As y increases above -1, dy/dt again becomes negative. So y continues to approach -1 as t approaches infinity.
which statements are true select all that apply. Extra points!!!
Find the percent as a fraction. Simplify if possible.
33 1/3%
Answer:
The answer would be 100/3
Step-by-step explanation:
Answer: 33 1/3% as a fraction is 1/3. It cannot be simplified. Hope this helps!
what is order of operations for 20-5x2+6
Answer:
multiply, add, then subtract so your answer should be 4
Step-by-step explanation:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
(please excuse my dear aunt sally)
An insurance company has written 100 policies for $75,000, 500 policies for $25,000, and 1000 policies for $10,000 for people of age 20. If experience shows that the probability that a person will die at age 20 is 0.0015, how much can the company expect to pay out during the year the policies were written? The company can expect to pay out _____ $ over the year after the policies were written.
Answer:
The company can expect to pay out $45,000 over the year after the policies were written.
Step-by-step explanation:
This can be determined as follows:
The probability that a person will die at age 20 = 0.0015
Revenue from 100 policies = 100 * $75,000 = $7,500,000
Revenue from 500 policies = 500 * $25,000 = $12,500,000
Revenue from 1000 policies = 1000 * $10,000 = $10,000,000
Total revenue from all policies = Revenue from 100 policies + Revenue from 500 policies + Revenue from 1000 policies = $7,500,000 + $12,500,000 + $10,000,000 = $30,000,000
Expected amount to pay out during the year the policies were written = Total revenue from all policies * The probability that a person will die at age 20 = $30,000,000 * 0.0015 = $45,000
Therefore, the company can expect to pay out $45,000 over the year after the policies were written.
Read the sentence from Nikita's analysis of "The Children of the Drug Wars." Nazario feels that refugee kids totally shouldn't be sent back to the same dangerous things they've left. This sentence should be revised to make it more accurate. formal. logical. objective.
Answer:
The answer is B formal
Answer:
B on edge 2021
Step-by-step explanation: