Dan needs to make a total of 25 deliveries this week So far he has completed 19 of them. What percentage of his total deliveries has Dan completed?
Answer:
76 percent.
Step-by-step explanation:
Solve the system of equations. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and
determine whether the system is inconsistent, or the equations are dependent.
- 2x + 6y + 3: = -31
- 3y + 7: = 59
2- = 10
Da
믐
Х
6
The system has one solution.
The solution set is {C10}
The system has no solution.
The system is inconsistent.
The equations are dependent.
The system has infinitely many solutions
The system is inconsistent
The equations are dependent
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The value of x, y and z from the system of equation are -1, -8 and 5 respectively.
Data;
-2x + 6y + 3z = -31-3y + 7z = 592z = 10System of EquationTo solve this problem, we have to solve the system of equation using substitution method.
From equation (iii)
[tex]2z = 10\\z = 5[/tex]
let us substitute the value of z into equation (ii)
[tex]-3y + 7z = 59\\z = 5\\-3y + 7(5) = 59\\-3y + 35 = 59\\-3y = 59 - 35\\-3y = 24\\y = -8[/tex]
Let's substitute the value of x and y into equation (i)
[tex]-2x + 6y + 3z = -31\\y = -8, z = 5\\-2x + 6(-8) + 3(5) = -31\\-2x - 48 + 15 = -31\\-2x - 33 = -31\\-2x = -31 + 33\\-2x = 2\\x = -1[/tex]
From the calculation above, the value of x, y and z are -1, -8 and 5 respectively.
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Given m < AFB = 40, m < BAF = 90, and m < AGD = 86. Find measure of arc AC.
=================================================
Explanation:
Refer to the figure below.
Focus on triangle ABF. Angle AFB = 40 is marked in red. Angle BAF = 90 is marked in blue. The missing angle is 180-90-40 = 50 which is angle ABF.
Inscribed angle ABF = 50 doubles to arc AC since this inscribed angle subtends the arc in question. I'm using the inscribed angle theorem.
arc AC = 2*(angle ABF) = 2*50 = 100 degrees
Note: We don't need the fact that angle AGD = 86
Solve the system of equations.
−4x+11y=15
x=2y
What is the area of the obtuse triangle given below?
6, 18
Answer:
54
Step-by-step explanation:
A = 1/2 bh
A = 1/2 (6)(18)
A = 1/2 (108)
A = 54
Area of the Obtuse triangle whose measures are 6 and 18 is 54 square units.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We need to find the area of the obtuse triangle whose base is six units and height is eighteen 18 units.
A triangle whose any one of the angles is an obtuse angle or more than 90° is called Obtuse.
The area of triangle is 1/2×Base×Height
Half base times of height
Area of triangle=1/2×6×18
=54 square units
Area is 54 square units.
Hence, Area of the Obtuse triangle whose measures are 6 and 18 is 54 square units.
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a. Sarah Smartshopper receives ten cents off per gallon on gas for every $100 she
spends at the grocery store during a given month. During the month of October,
he spent $45.23, $102.34, $13.67, $34.56, $48.72, and $52.12. What will Sarah's
gas discount be for October?
Using proportions, it is found that her discount is of $0.29664.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the total amount she spent on gas is given by:
T = $45.23 + $102.34 + $13.67 + $34.56 + $48.72 + $52.12 = $296.64.
Considering that she receives ten cents off per gallon on gas for every $100 she spends, we apply the proportion to find that her discount is given by:
[tex]D = 0.1 \times \frac{296.64}{100} = 0.29664[/tex]
Her discount is of $0.29664.
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Height of a Toy Rocket A toy rocket (not internally powered) is launched straight up from the top of a building 50 ft tall at an initial velocity of 200 ft per sec. a. Give the function that describes the height of the rocket in terms of timet b. Determine the time at which the rocket reaches its maximum height and the maximum height in feet. c. For what time interval will the rocket be more than 300 ft above ground level? d. After how many seconds will it hit the ground?
The height of the toy is an illustration of the height function
The function of the toy velocityThe given parameters are:
Initial velocity, Vo = 200 ft per secInitial height, H = 50 ftThe function of the height is calculated as:
h(t) = -16t² + Vot + H
This gives
h(t) = -16t² + 200t + 50
Hence, the velocity function is h(t) = -16t² + 200t + 50
The time of maximum heightIn (a), we have:
h(t) = -16t² + 200t + 50
Differentiate
h'(t) = -32t + 200
Set to 0
-32t + 200 = 0
Subtract 200 from both sides
-32t = -200
Divide both sides by -32
t = 6.25
Substitute 6.25 for t in h(t)
h(6.25) = -16 *6.25² + 200 * 6.25 + 50
h(6.25) = 675
Hence, the time to reach the maximum height is 6.25 seconds and the maximum height is 675 feet
When the rocket will be at a height more than 300This is represented as
h(t) >300
So, we have:
-16t² + 200t + 50 > 300
Subtract 300 from both sides
-16t² + 200t - 250 > 0
Using a graphical calculator, we have:
t = 11.09s and t = 1.41 s
Hence, the rocket will be at a height more than 300 at 11.09s and 1.41 s
When it will hit the ground?This means that
h(t) = 0
So, we have:
-16t² + 200t + 50 = 0
Using a graphical calculator, we have:
t = 12.75
Hence, the rocket will hit the ground at 12.75s
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Select the correct answer.
What term is used to describe a metropolitan area that spreads out to include several cities?
O A. suburb
O B. megalopolis
OC. freeway
OD. urban core
Answer:
B. megalopolis
Step-by-step explanation:
Hope it helps you in your learning process.
Leila wanted to order her IFTAR meal from La Gondola, Al Khobar. The menu stated that their pasta is a blend of wheat and corn. La Gondola does not disclose the percentage of each ingredient in the blend but we know that the wheat in the blend contains 5% protein, and the corn in the blend contains 10% protein. Overall, each 57 gram serving of pasta contains 4 grams of protein.
Leila told her sister that there was more wheat than corn in the pasta. Use multiple representations to justify if this is a true statement. (You may use DESMOS for graphing. You must also put in the algebraic solution and a table.)
Step-by-step explanation:
Let the amount of wheat is x and amount of corn is y.
The total amount of pasta is
x + y = 57Amount of protein in same pasta is
5% of x + 10% of y = 4or
0.05x + 0.1y = 4The graphical solution is attached
x = 34, y = 23It is easy to solve the system by substitution
y = 57 - x0.05x + 0.1(57 - x) = 40.05x + 5.7 - 0.1x = 40.1x - 0.05x = 5.7 - 40.05x = 1.7x = 1.7/0.05x = 34Then the value of y is
y = 57 - 34 = 23As we see x > y, so Leila is right
The above problem is solved using Multiple Representations. Multiple representations are used to achieve a deeper comprehension of concepts related to the same operation.
How do we evaluate the veracity of Leila's assertion?We can arrive at whether the statement is true or false by solving for the value of Y using the graphical method. Where Y is the amount of wheat and X is the amount of corn.
Our function is given as follows:
X + Y= 57. ..........1
Recall that the total amount of pasta is 57 grams
Recall as well that the total amount of protein in the pasta is given as:
0.05x + 0.1y= 4grams.......2
By inputting equations 1 and 2 into the Desmos Graph, we have x to be equal to = 34, and y = 23. (please see the attached image).
Recall that Leila's assertion was that there is more corn in the Pasta. Since x is the amount of corn, then Leila's assertion is True that: x>y.
The algebraic solution is arrived at using substitution.
Rewriting equation (1), we have
y = 57 - x .......................(3)
Let us substitute y into equation (2) above. That gives us:
0.05x + 0.1(57 - x) = 4.........................(4)
Expanding the brackets, we obtain
0.05x + 5.7 - 0.1x = 4
Collecting like terms, we can rewrite the quation as:
0.1x - 0.05x = 5.7 - 4
0.05x = 1.7
Rewriting the equation such that it is subject to x, we have
x = 1.7/0.05
x = 34
If from the above, x = 34, inputting that into equation (3) above, we have
y = 57 - 34; Therefore,
y = 23
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Mr.Smith has p pounds of cookie dough. He is going to split it equally among his three children. Each child will get 0.42 pounds of cookie dough. Write and solve an equation that can be used to determine the weight of the cookie dough Mr. Smith has.
Answer:
p = 1.26
Step-by-step explanation:
We know that the total weight (p) is going to be split equally (divided) by 3.
We also know that divided weight will be equal to 0.42 pounds.
p / 3 = 0.42
To solve:
multiply both sides by 3 to cancel the division by 3
p = 1.26
To test this you could divide 1.26 by 3 again to get 0.42
Find two solutions to the following system of inequalities. Please write it in ordered pair form.
Answer:
(5, 5) and (6, 1)
Step-by-step explanation:
Solutions to the system of inequalities are any points that are in the overlapped shaded region.
For example (5, 5) and (6, 1)
ProofFind the equations of the two lines.
Blue line
Two points on the line: (-5, 8) and (0, -7)
[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{-7-8}{0-(-5)}=-3[/tex]
Point-slope form of linear equation: [tex]\sf y-y_1=m(x-x_1)[/tex]
(where m is the slope and (x₁, y₁) is a point on the line)
[tex]\implies \sf y-(-7)=-3(x-0)[/tex]
[tex]\implies \sf y=-3x-7[/tex]
As the shading is above the line, and the line is dashed:
[tex]\sf y > -3x-7[/tex]
Red line
Two points on the line: (0, -9) and (2, 1)
[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{1-(-9)}{2-0}=5[/tex]
Point-slope form of linear equation: [tex]\sf y-y_1=m(x-x_1)[/tex]
(where m is the slope and (x₁, y₁) is a point on the line)
[tex]\implies \sf y-(-9)=5(x-0)[/tex]
[tex]\implies \sf y=5x-9[/tex]
As the shading is below the line, and the line is solid:
[tex]\sf y\leq 5x-9[/tex]
[tex]\sf Inequality\:1: y > -3x-7[/tex]
[tex]\sf Inequality\:2:y\leq 5x-9[/tex]
Point (5, 5)
[tex]\sf Inequality\:1\implies -3(5)-7=-22 < 5\: \implies\:true[/tex]
[tex]\sf Inequality\:2\implies 5(5)-9=16 > 5\: \implies\:true[/tex]
Point (6, 1)
[tex]\sf Inequality\:1\implies -3(6)-7=-25 < 1\: \implies\:true[/tex]
[tex]\sf Inequality\:2\implies 5(6)-9=21 > 1\: \implies\:true[/tex]
Choose the ratio that is equivalent to this one: 4/7
Answer:
4:7
Step-by-step explanation:
4:7 is the same as 4/7
Express with fractional exponents instead of radicals.
6√x² y³
Answer:
using of fractional exponents give us the value 6(x^2y^3)^1/2 or 6xy^3/2.
I need help please due in 10 min
Answer:
Step 1. Plot x and y-intercepts
Step 2. Draw a line through the points
y = -1/2x - 2
m, rise over run = -1/2
b, y-intercept = (0, -2)
x-intercept = (-4, 0)
y = -1/3x - 4m, rise over run = -1/3
b, y-intercept = (0, -4)
x-intercept = (-12, 0)
Hope this helps! Good luck!
A cube has total surface area 150 cm square, find the volume of cube. somebody help me to solve this.
We have been provided with the total surface area of cube that is 150cm².
So here we will first find out the value of a side of cube.
★ Total surface area of cube :-
T.S.A. = 6a²Here,
a is side of cubePutting the values,
6a² = 150cm²
a² = 150 / 6
a² = 50 / 2
a² = 25
a = √25
a = 5
Henceforth,
Side of a cube is of 5 cm.★ Finding out volume of cube :-
As we know that volume of cube is calculated by the formula :
V = a³Putting the values,
V = 5³
V = 5 × 5 × 5
V = 25 × 5
V = 125
Henceforth,
Volume of cube is of 125 cm³.how many gallons each of 25% alcohol and 5% alcohol should be mixed to obtain 20 gal of 8% alcohol?
[tex]\begin{array}{lcccl} &\stackrel{solution}{gallons}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{gallons of }}{pure~alcohol}\\ \cline{2-4}&\\ \textit{25\% solution}&x&0.25&0.25x\\ \textit{5\% solution}&y&0.05&0.05y\\ \cline{2-4}&\\ mixture&20&0.08&1.6 \end{array}~\hfill \begin{cases} ~\hfill x + y &= 20\\\\ 0.25x+0.05y&=1.6 \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{using the 1st equation}}{x+y=20\implies \underline{y = 20-x}} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{0.25x~~ + ~~0.05(\underline{20-x})~~ = ~~1.6}\implies 0.25x+1-0.05x=1.6 \\\\\\ 0.20x+1=1.6\implies 0.2x=0.6\implies x=\cfrac{0.6}{0.2}\implies \boxed{x=3}[/tex]
Factor 99-45f+36b99−45f+36b99, minus, 45, f, plus, 36, b to identify the equivalent expressions.
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
9(11-5f+4b)9(11−5f+4b)9, left parenthesis, 11, minus, 5, f, plus, 4, b, right parenthesis
(Choice B)
B
3(33-15+12)3(33−15+12)3, left parenthesis, 33, minus, 15, plus, 12, right parenthesis
(Choice C)
C
11(9-4f+3b)11(9−4f+3b)11, left parenthesis, 9, minus, 4, f, plus, 3, b, right parenthesis
(Choice D)
D
3(33-15f+12b)3(33−15f+12b)3, left parenthesis, 33, minus, 15, f, plus, 12, b, right parenthesis
Answer:
its A and D dont listen to the other person lol
W
I need help please
Answer:
48
Step-by-step explanation:
180 is the whole thing
So add 25 and 107 to make 132, then 180-132
Pls answer my math, thank u
Answer: question 1 equals 31 Over 8 or 3.875 .
question 2 equals 425 over 24 .
question 3 equals 41 over 6 or 6.83333333
question 4 equals 55 Over 14
Step-by-step explanation: hope it helps you .
Mr. Williams buys 12 gallons of ivory paint to paint the exteriors of his home. How much does one gallon of paint cost, if he billed a total of $304.80 for his purchase?
Answer:
$25.40
Step-by-step explanation:
Find the unit price. So what you do is just divide 304.80 by 12 to get the price of one which comes out to be $25.40
how many thousand equal 700 ten
No thousands, just 70
Answer:
seven
Step-by-step explanation:
Solve the proportion.
3x/10=3/
Answer: 10, And i dont know how to really explain but the answer is 10
"Last week you sold 30, 45, 50, 75, and 80 units each day of the week, in that order. On average, how many units did you sell per day?"
Answer:
56
Step-by-step explanation:
1) Add together all numbers. 30+45+50+75+80 = 280.
2) Divide result by amount of numbers. 280/5 = 56
3) You are welcome. :)
On an average, you sold 56 unit per, day.
What is average?A number that is calculated by adding quantities together and then dividing the total by the number of quantities.
Given that, Last week you sold 30, 45, 50, 75, and 80 units each day of the week.
To find the average, we will, first add together all numbers and then divide the result by the sum of numbers.
Therefore,
Adding together all numbers = 30+45+50+75+80 = 280.
Divide result by amount of numbers = 280/5 = 56
Hence, On an average, you sold 56 unit per, day.
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please answer
Tomato seed packets are sold in packs of 6 for $2.88. Watermelon seed packets are sold in packs of 4 for $3.04. How much more do the watermelon seeds cost per packet? a) 0.26 b) 0.20 c) 0.28 d) 0.48
Answer:
C) $0.28 per packet
Step-by-step explanation:
I divided them to find how much each packet costs
Each pack of watermelon costs $0.76
Each pack of tomato seed packet costs 0.48
Subtract and you have your answer!
0.76 - 0.48 = 0.28
P. 1. Evaluate the double integral
The given double integral results [tex]\frac{e^8-1}{4e^8}=0.25[/tex]
IntegrationThe integrals are the opposite of derivatives. They are used in several applications, like: calculations of areas, volumes and others.
For solving an integration, you should know its rules. For this question will be necessary to apply the following integration rules:
For constant function - ∫b dx = b ∫ dx= bx+CFor integration by parts - ∫u v dx = uv -∫v duFor exponential function - [tex]\int\ e^x \, dx[/tex] =[tex]e^x+C[/tex]Changing the order integration
[tex]\int _0^2\int _0^xe^{-2x^2}dydx[/tex]
[tex]\int _0^2xe^{-2x^2}dx[/tex]
[tex]\frac{e^8-1}{4e^8}=0.25[/tex]
Check out this rectangular prism 2 2 5 5 2 2 Find the surface area of the rectangular prism (above) using its net (below).
need help with geometry (number 19)
Answer:
The answer is 65
Step-by-step explanation:
As تھ measure of angles of rectangle is 90
So 90-25 is equal to 65
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEKhan Academy Volume of Sphere Answers!!!
Explanation:
The N stands for Pi so when you type in the answers to Khan Academy use the Pi symbol when theres an N! These are the common questions and common radius Khan Academy gives when they ask to find the radius of the circle.
Answers:
For 4 - 267.95
For 1/4 - 1/48n
For 1 - 4/3n
For 9 - 972n
For 7 - 1372/3n
For 6 - 288n
For 3 - 36n
For 10 - 4000/3n
For 8 - 2048/3n
For 1/2 - 1/6n
For 5 - 500/3n
For 2 - 33.49
Step-by-step explanation:
I did the go math so all of these rights and the majority of the answers are the questions Khan Academy will ask you to find the radius of the circle.
The circumference of circles
Answer:
circumference = 31.43 cm
Step-by-step explanation:
circumference = 2πr = 2 × 22/7 × 5 = 220/7
= 31.43 cm
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's find the circumference of given circle ~
Circumference :[tex]\qquad \tt\dashrightarrow \:c =2 \pi r[/tex]
where,
r = radius = 5 cmnow, let's calculate circumference ~
[tex]\qquad \tt \dashrightarrow \:c = 2 \times \pi \times 5[/tex]
[tex]\qquad \tt \dashrightarrow \:c = 10 \pi \: \: cm[/tex]
Now, let's plug in approximate value of pi :
[tex]\qquad \tt \dashrightarrow \:c = 10\times 3.14 \: \: [/tex]
[tex]\qquad \tt \dashrightarrow \:c = 31.4\: \: cm[/tex]
-7,-3,1,5,9
its about numeric and gemetric pattern how do we do it until to 10th term with clear styppes easy and answers too
-7 + 4(n-1). Use this and plug in 10 for n, making it
-7 + 4(9)
-7+36
29