Answer:
-4
Step-by-step explanation:
hope this helps
have a great day/night :)
Graded Assignment
Unit Test, Part 2: Expressions and Problem Solving
Answer the questions below. When you are finished, submit this assignment to your teacher by the due date for full credit.
Total score: ____ of 15 points
(Score for Question 1: ___ of 6 points)
1. Emmanuel bought 28 lb of potting soil this week. This amount is 4 lb more than twice the amount of potting soil he bought last week. Answer the following questions to find the number of pounds of soil Emmanuel purchased last week.
(a) What is the unknown information?
(b) Let p represent the unknown information. Write an equation to model the problem.
(c) Which number, 10, 11, or 12, will solve the equation in Part (b)? Show your work.
(d) How many pounds of potting soil did Emmanuel buy last week?
Answer:
plz help me I beg you
Answer:
1.) Amount of potting soil purchased last week.
2) 2p + 4 = 28
3.) 12 lbs
Step-by-step explanation:
1.) The unknown information is what we intend to find out using the information given, which is the amount of potting soil Emmanuel bought last week.
2.)
Let amount of potting soil bought last week = p
Amount bought this week = 2p + 4
Since amount bought this week = 28
Hence, we have ;
28 = 2p + 4
28 - 4 = 2p
24 = 2p
p = 24 / 2
p = 12
Can i have some help please best answer gets brainiest!
Answer:
a=35
Step-by-step explanation:
5x35=175, and 175 divided by 7 is 25 :)
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: a = 35}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \: \frac{5a}{7} = 25[/tex]
➺[tex] \: 5a \: = 25 \times 7[/tex]
➺[tex] \: 5a = 175[/tex]
➺[tex] \: a = \frac{175}{5} [/tex]
➺[tex] \: a = 35[/tex]
[tex]\sf \bf {\boxed {\mathbb {To\:verify:}}}[/tex]
[tex] \: \frac{5a}{7} = 25[/tex]
➺[tex] \: \frac{5 \times 35}{7} = 25[/tex]
➺[tex] \: \frac{175}{7} = 25[/tex]
➺[tex] \: 25 = 25[/tex]
➺[tex] \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
what is the algebraic expression for 11 times a number x, minus a second number y ?
Answer:1
Step-by-step explanation:
twice a number minus a second number is -1. Twice the second number added to three times the first number is 9. find the two numbers. System of Equations is how we are supposed to solve this word problem.
In the diagram, the measure of angle 6 is 989
1/2
43
516
817
What is the measure of angle 7?
Answer:
82 degrees is the answer
Step-by-step explanation:
angle 6 and 7 are adjacent angles and adjacent angles add up to 180 deg. thus
angle 7 = 180 - 98 = 82 deg
The measure of ∠6 and ∠7 are on a straight line. This means there sum is equals to 180 degrees. Therefore, the measure of ∠7 is 82 degrees.
What is the sum of angle on a straight line?The sum of angle on a straight line is 180 degrees. This simply means the total angle on a straight line is 180 degrees.
∠6 = 98 degrees
Therefore,
∠6 + ∠7 = 180°(angles on a straight line)
∠6 = 98 degrees
Hence,
98 + ∠7 = 180
subtract 98 from both sides
98 - 98 + ∠7 = 180 - 98
∠7 = 82 degrees.
learn more on angle on a straight line here: https://brainly.com/question/16025966
A bag contains five blue marbles, five red marbles, five white marbles, and five black marbles. You draw a marble from the bag, and then draw another marble from the bag.
Do you have a greater probability of drawing two blue marbles if you replace the first marble after you draw it or if you don't replace the marble?
Your answer should include both the mathematical proof and a written statement.
Answer:
If you replace the first marble, you have a higher chance of picking two blue marbles. Mathematical proof and written statement is shown below.
Step-by-step explanation:
Mathematical Proof :
For proof, we should test it out.
To find the total amount of marbles, we add up all the different colors in the bag.
5 + 5 + 5 + 5 = 20
Drawing 2 blue marbles while replacing the first probability :
The probability of drawing a blue marble at first is 5/20. If you then replace this marble, the probability doesn't change, it's still 5/20. To get the probability of getting two blue marbles and not replacing we multiply :
5/20 * 5/20 = 25/400 = 1/16
Drawing 2 blue marbles while NOT replacing the first probability :
The probability of first choosing a blue marble is 5/20, but you don't replace it, so now the probability of choosing a blue marble is 4/19, since one blue marble was taken. To find the probability of drawing two blue marbles but not replacing the first one we are going to have to multiply 5/20 * 4/19. That's 1/19.
So the probability of getting two blue marbles and replacing the first is 1/16, and the probability of getting two blue marbles and not replacing the first is 1/19. Well, which is greater? 1/16 is greater. If you replace the first marble, you have a higher chance of picking two blue marbles.
Written Statement :
If you replace the first marble you have a higher chance of getting two blue because you are increasing the number of blue marbles in the 20 total marbles. Now there is a greater number of blue marbles there is a greater chance you will pick blue.
Find the volume of a rectangular prism with length 7 feet,width 6 feet, and height 4 feet.
Answer:
V=168ft³
Step-by-step explanation:
V=
w-6
h-4
l-7
V = 168ft³
Find the y-intercept the line on the graph. Plz I need the credit
Answer:
4
Step-by-step explanation:
The y intercept is where it crosses the y axis
It crosses the y axis at y = 4
Write the equation of the parabola in vertex form.
Answer: Hi! The answer is, y=-(x-2)^2
Step-by-step explanation:(The explanation is in the image below) I hope that this helps you!
Which of the following graphs represents a function? Graph a or b
Answer:
graph b represents a function.
Answer:
graph b
Step-by-step explanation:
Lawrence makes tomato cages out of wire. He has 48 1/3 yards of wire and uses 6 3/4 yards on each tomato cage. How many tomato cages can Lawrence make with the wire he has?
A. 6
B. 7
C. 8
D. 9
What is the value of x?
Enter your answer in the box.
Answer:
x=12
Step-by-step explanation:
Both Angles together have a 180 degrees, set your formula up as
180=(10x-20)+(6x+8)
180=10x+6x-20+8
180+20-8=16x
192=16x
192/16=x
12=x
Answer:
x = 12
Step-by-step explanation:
The two angles form a straight line so they add to 180
10x-20 + 6x+8 = 180
Combine like terms
16x -12 = 180
Add 12 to each side
16x-12+12=180+12
16x = 192
Divide each side by 16
16x/16 =192/16
x = 12
The ratio of sheep to cows in a field is 3:8. The ratio of cows to pigs in the same field is 5:6. What is the ratio of sheep to cows to pigs?
Answer:
3:5:6
Step-by-step explanation:
because there are 3 sheep 5 vows and 6 pigs
Figure A is a scale image of Figure B what is the value of x
Answer:
72
Step-by-step explanation:
20 got 4 added to it and the only number that gives you 24 when you multiply it is 4x6 and we can prove that to be right because the one before it is 4x5 and it gives us 20. Now that we know the multiplier is 5 and 6 we can ask ourselves, "What do I multiply by 5 that gives me 60?" And that is 12. So 12x6 is 72 for x.
please help!! i have no clue what to do and this packet is due tonight.
Answer:
[D] ∞
General Formulas and Concepts:
Calculus
Limits
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \lim_{n \to \infty} s(n)[/tex]
[tex]\displaystyle s(n) = (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]
Step 2: Evaluate
Substitute in function [Limit]: [tex]\displaystyle \lim_{n \to \infty} (\frac{5}{4n^4})(3n^5 + 3n^4 + 2n^3 + n^2)[/tex]Multiply: [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4}[/tex]Power Method: [tex]\displaystyle \lim_{n \to \infty} \frac{5(3n^5 + 3n^4 + 2n^3 + n^2)}{4n^4} = \infty[/tex]Since the degree of the polynomial is greater in the numerator than in the denominator, the top will always increase faster than the bottom, thus getting infinitely larger.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Book: College Calculus 10e
Estimate 16.26+4.169 by first rounding each number to the nearest tenth.
Answer:
16.3 + 4.2 = 20.5 (20.5 has not been rounded)
Step-by-step explanation:
I just rounded both numbers to the nearest tenth, it should be accurate. I hope I helped :)
Write an equation for this graph
Answer:
y = -x - 2
Step-by-step explanation:
The slope is -1 and the y-intercept is (0, -2).
x(x+2) + y (x + 2) - 5(x + 2)
factor
Answer:
x² + xy - 3x + 2y - 10
Step-by-step explanation:
x(x + 2) + y(x + 2) - 5(x + 2)
x² + 2x + y(x + 2) - 5(x + 2)
x² + 2x + xy + 2y - 5(x + 2)
x² + 2x + xy + 2y - 5x - 10
x² - 3x + xy + 2y - 10
x² + xy - 3x + 2y - 10
Indira buys 1250 square metres of land to build a hotel. Each square metre of land costs $12. Calculate the cost of the land. Answer(a) $ [1] (b) The cost of the land is 3% of the cost of the hotel. Calculate the cost of the hotel
Answer:
500000
Step-by-step explanation:
yeah boi
Of every 5 CDs produced in a
factory, 2 are scratched. If
2,200 CDs were produced,
how many were scratched?
Answer:
880
Step-by-step explanation:
2/5 times 2200
Answer:
880 scratched CD's
Step-by-step explanation:
2/5 = x/2,200
5x = 4,400
/5 = /5
x = 880
-20=-8(a+4)-5(1-5a)
What is a
Answer:
a=1
Step-by-step explanation:
-20=-8(a+4)-5(1-5a)
Distribute
-20 = -8a -32 -5 +25a
Combine like terms
-20 =17a -37
Add 37 to each side
-20+37 = 17a-37+37
17 = 17a
Divide by 17
17/17 = 17a/17
1= a
What is the Tenth term of 3n+2
What is sin 45°? O A. 1/2 12 1 OB. NI O C. 1 O D. O E. 1 3 O F. 13 ap.ex
1/√2
Step-by-step explanation:
Imagine a right-angled triangle, for e.g. Triangle ABC,
Where
B = 90°
Remember your Toa Cah Soh.
sin 45° = opposite / hypotenuse
If theta = 45°
Angles A and C = 45° (Sum of angles in a triangle equal = 180°)
Since theta are the same, we can also deduce that the length AB and BC are the same.
Take for example AB = BC = 1 = opposite
By the Pythagorean theorem,
AB² + BC² = AC²
1² + 1² = AC²
2 = AC²
AC = √2 = hypotenuse
Therefore:
sin 45° = opposite / hypotenuse
sin 45° = 1/√2
the diameter of a circle is 12 centimeters. What is the circumference?
Answer:
the circumference is 37.7 cm
Answer:
circumference = 37.7
Step-by-step explanation:
in the photo I explained the formula of how to find the circumference
If ABC and ABD are equilateral, which line segment if 60° clockwise rotation of AB about the point A?
Answer:
Line AC
Step-by-step explanation:
Given
See attachment for triangles
Required
60 degrees clockwise rotation about A
Since [tex]\triangle ABC[/tex] and [tex]\triangle ABD[/tex] are equilateral, then all angles in both triangles are [tex]60^o[/tex]
So, rotating in clockwise direction of A means that a line segment in the right of A will be considered.
The closest is line AC;
Hence, AC is [tex]60^o[/tex] clockwise of point A
Which cone has a volume of 24 x cm?
Answer:
cone a is the correct answer
the third choice is the cirrect answer.
the cone with a 4.5 cm height and a 8cm diameter
hope this helps :)
Factor completely. x2−6x+8 Enter your answer in the boxes. x2−6x+8= ( )( )
plzzzzzzzzzzzzzz helpppppppppppppppppppppppp
Answer:
(x - 4)(x - 2)
Step-by-step explanation:
x² - 6x + 8
x² - 2x - 4x + 8
x(x - 2) - 4(x - 2)
(x - 4)(x - 2)
Step-by-step explanation:
(x-4)(x-2)=0
x2-2x-4x+8=0
x2-6x+8=0
Paige ran four miles a day last week. This week, she ran five miles a day. How did adding a mile most likely affect her workout?
Answer:
A. It increased both her intensity and her workout time.
Step-by-step explanation:
A. It increased both her intensity and her workout time.
B. It decreased her intensity but increased her workout time.
C. It increased her intensity but decreased her workout time.
D. It decreased both her intensity and work out time
Last week = 4 miles per day
This week = 5 miles per day
Intensity refers to how hard one exercises.
Workout time refers to how long one exercises the body.
By adding a mile, she has increased how hard she exercises her body (intensity))
And also increased how long she exercises the body (workout time) because the time she spent on 5 miles per day is more than time spent on 4 miles per day
Help me plzzz
Stefan bought 3 hamburgers and 4 fries for a total cost of $26.50.
Answer:
6.50
Step-by-step explanation:
Answer:
6.50
Step-by-step explanation:
the 7 one is too high to make sense and the rest are to low to make sense its a multiple choice question so it probably one mark for correct answer
The ratio of dogs to cats at the animal shelter is 2:5. If there are 35 cats, how many dogs are there?
Answer:
Step-by-step explanation:
there are 18 dogs
Answer:
14
Step-by-step explanation:
So the ratio of dogs (2) to cats (5) is 2:5
How did we go from 5 to 35?
Multiply by 7
So multiply 2 with 7 which is 14
So there are 14 dogs
Hope this helps!
Find x such that x, 56, 65 is a Pythagorean triple.
Help ASAP
Answer: 59
Step-by-step explanation:
Answer:
x = 33
Step-by-step explanation:
b^2 = c^2− a^2 = 652 − 562 = 4225 − 3136 = 1089 =33^2
