Answer:
There is the graph of money made to cars sold
The Graph is provided in the below image.
How to find the graph of an equation using slope and y-intercept?Slope and y-intercept are used to graph an equation in the following ways:
The equation y = mx + b's y-intercept is equal to b.Draw a y-intercept plot. The key message is (0, b).To solve the equation y = mx + b, get the slope=m.Rise above from (0,b) by m units and to the right by 1 unit.With your line, join those two spots together.How to solve it?To solve the question we follow the steps in the given instructions.
The intercept is 1000Plot (0,1000)The slope is 150Make a rise of 150 units upwards and a run of 1 unit to the right. That gives our second point on the line (1,1150)We then join our line to get the required graph.Learn more about graphs here-
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Kumar bought some mangoes. The price of each mango () is found to be 6 more than the total number of mangoes bought by him and the total amount paid for all the mangoes is 280. Represent the situation mathematically and find the total number of mangoes bought by Kumar.
Answer:
Price = 20, Amount = 14
Step-by-step explanation:
A = Amount of Mangoes
P = Price for 1 Mango
P = A + 6
280 = P * A
insert A+6 for P
280 = (A+6) * A
280 = 6A + A²
280=1*a^2+6*a | Vertausche beide Seiten der Gleichung.
1*a^2+6*a=280 | quadratische Ergänzung: ergänze auf beiden Seiten (3)^2
1*a^2+6*a+(3)^2=3^2+280 | Rechne 3 hoch 2 aus.
1*a^2+6*a+(3)^2=9+280 | addiere 9 und 280
1*a^2+6*a+(3)^2=9+280 | Fasse die rechte Seite mit Hilfe der binomischen Formel zusammen.
1*(1*a+(3))^2=289 | Auf beiden Seiten Quadratwurzel ziehen.
1*a+(3)=+-*289^0.5
1*a_1+(3)=289^0.5
1*a_1+3=289^0.5 | Ziehe die Wurzel aus 289
1*a_1+3=17 | -3
1*a_1=14
The total number of mangoes bought by Kumar are 14.
What is mathematical equation?"An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values is called mathematical equation. For example, 3x + 5 = 15. There are different types of equations like linear, quadratic, cubic, etc."
We have,
Total amount for mangoes(P) = 280
Price of one mango is equal to 6 more than the total number of mangoes (A) i.e., P = A+6
By using mathematical equation from the question
P×A = 280.....(1)
Substitute P = A+6 in equation (1)
⇒ (A+6) × A = 280
⇒[tex]A^{2}+6A =280[/tex]
Add [tex]3^{2}[/tex] on both sides of above equation
⇒[tex]A^{2}+6A+3^{2} = 280+3^{2}[/tex]
⇒[tex]A^{2}+2.(1)(3A)+3^{2} =289[/tex] (∵ [tex](a+b)^{2} = a^{2}+2ab+b^{2}[/tex])
⇒[tex](A+3)^{2} =289[/tex]
⇒[tex]A+3 = \sqrt{289}[/tex]
⇒[tex]A=17-3[/tex]
⇒[tex]A=14[/tex]
Hence, The total number of mangoes bought by Kumar are 14.
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Ridas father is 4 times old as rida. After 5 years father will be three times as old as rida.Find their present ages
Answer:
Rida is 10 years old and her father is 40 years old.
Step-by-step explanation:
Given:
Present age
Present age of Rida = x
Present age of Rida's father = 4x
Age after 5 years
Age of Radi after 5 years = x + 5
Age of Radi's father after 5 years = 3(x + 5)
What To Find:
The present age of Rida and Rida's father.
Solution:
According to the statement the equation will be,
⇒ 4x + 5 = 3(x + 5)
Remove and solve the brackets,
⇒ 4x + 5 = 3x + 15
Take numbers to RHS and variable to LHS,
⇒ 4x - 3x = 15 - 5
Subtract 3x from 4x and 5 from 15,
⇒ x = 10
Now substitute the values of Rida's age and Rida's father's age,
Rida's age = x = 10 years
Rida's father's age = 4x = 4(10) = 40 years
A box of chocolate is divided among Jim, Jack and David. David gets 2/5 of the box and Jack gets 1/5 of David's share and the rest which was given to Jim was 260 grams. What is David's share in Grams?
Answer:
200
Step-by-step explanation:
Jack share = 2/5 x 1/5 = 2/25
amount left over = 1 - (2/25 + 2/5) = 13/25
13/25 x t = 260
t = total amount of chocolate
t = (260 x 25) / 13 = 500
Davids share = 2/5 x 500 = 200
for a family with 6 children what is the probability that they have exactly one boy and 5 girls
Answer:
Ok so the probability would be 16%(can be round to)
Step-by-step explanation:
Ranking brainliest if correct
Answer:
Hello! answer: 18
Step-by-step explanation:
AC = 27 DF = 9 those are both the bottom sides of the triangles so we can find AB with this info so... 27 ÷ 9 = 3 DE = 6 6 × 3 = 18 therefore AB = 18 hope that helps!
a right triangle whose acute angles have measures 5x and 4x.
Answer:
x=10
50 and 40
Step-by-step explanation:
The sum of the angles of triangle is 180
90 +5x+4x = 180
Combine like terms
90 +9x =180
Subtract 90 from each side
9x = 180-90
9x = 90
x = 90/9
x = 10
The angles are 5x = 5*10 =50 and 4x = 4(10)= 40
A trader bought 5 bags of rice at GHC 210 each. If he sold them at a profit of 20%, what was the selling price per bag?
Answer:
$252
Step-by-step explanation:
First you need to find how much is 20% is of 210
210*0.20=$42
Add 42 dollars to 210
210+42=$252
So the starting price per bag that he was selling was $252
Mr. Catone noticed that many of the students in his classes had been born in
another country. He randomly chose 16 students and found that 7 of them
had been born in another country. If Mr. Catone's sample is representative,
which of the following is closest to the number of his 144 students who were
born in another country?
o
A. 54
Option A
B. 63
O
C. 72
D. 112
O
Item #3050
Which of the following is equivalent to 2a^7 + 5a^7?
Answer:
??????
I don't exactly see the following in your question srry :(
But I think it should be 2a^7 + 5a^7 = 7a^7
Answer:
(2+5)a^7
Step-by-step explanation:
i took the test hope this helps ^^
Identify each expression as linear or nonlinear.
8xy. Please answer
Answer:
I want to help but I don't understand the question. Can you plz send a picture of the question
which veal represents the functions ?
A. graph A only
B. graph D only
C. graph B and graph D
D. graph C and graph D
hola quien habla español bueno ya no Adios :)
Answer:
C.(B and D
Step-by-step explanation:
Just look at the directions brainliest and thanks!
Answer:
b) Yes. Because it grows linearly, and have the proportions of 3. For each x you have an y 3 times bigger
Step-by-step explanation:
a) Okay, I cannot draw it right now, but I can explain how you'll do it. First step: draw a point on x=1 and y=3. Second step: draw another point on x=5 and y=15. Third step: pick your rule and make a straight line in these two points. It's done :)
Find each product.
1. 2x(x^2-6x+3)
2. 2a^2(5b^2 + 3ab + 6a + 1)
Given:
The expressions are:
[tex]2x(x^2-6x+3)[/tex]
[tex]2a^2(5b^2+3ab+6a+1)[/tex]
To find:
The product of each expression.
Solution:
According to the distributive property of multiplication over addition, we get
[tex]a(b+c)=ab+ac[/tex]
The first expression is:
[tex]2x(x^2-6x+3)[/tex]
Using distributive property of multiplication over addition, we get
[tex]2x(x^2-6x+3)=(2x)(x^2)+(2x)(-6x)+(2x)(3)[/tex]
[tex]2x(x^2-6x+3)=2x^3-12x^2+6x[/tex]
Therefore, the product of [tex]2x(x^2-6x+3)[/tex] is [tex]2x^3-12x^2+6x[/tex].
The second expression is:
[tex]2a^2(5b^2+3ab+6a+1)[/tex]
Using distributive property of multiplication over addition, we get
[tex]2a^2(5b^2+3ab+6a+1)=(2a^2)(5b^2)+(2a^2)(3ab)+(2a^2)(6a)+(2a^2)(1)[/tex]
[tex]2a^2(5b^2+3ab+6a+1)=10a^2b^2+6a^3b+12a^3+2a^2[/tex]
Therefore, the product of [tex]2a^2(5b^2+3ab+6a+1)[/tex] is [tex]10a^2b^2+6a^3b+12a^3+2a^2[/tex].
Please give real answers with an explaination. 50 points + 5-star rated. No Docs/No Files/No Links only answer with explaination.
Answer:
x = 135°
Step-by-step explanation:
4 sides and the diagonal are the same.
Therefore, it is square with each interior angle = 90°
The diagonal bisects the interior angle to 45° , 45°
x + 45° = 180° [ straight line angle ]
x = 180 - 45 = 135°
I need help on number 1
Answer:
V =960 in ^3
Step-by-step explanation:
V = l*w*h
V = 12*8*10
V =960 in ^3
Use SOH CAH TOA to identify the Cosine C.
Explanation:
This is because cosine is the ratio of adjacent over hypotenuse
cos(angle) = adjacent/hypotenuse
In this case, 20 is the adjacent side to the reference angle C. The hypotenuse is the longest side 29.
Calcula el porcentaje de sal de mesa o cloruro de sodio que contiene una disolución que se preparó con 5 gramos de cloruro de sodio y 95 gramos de agua.
Answer:
inglese please
Step-by-step explanation:
Please help will mark the brainliest
Answer:
452.4 mi^2
Step-by-step explanation:
area of circle=πr^2
=22/7*(12)^2
=3.142*144
=452.448
=452.4 mi^2
Answer:
C) 452.4 mi²
Step-by-step explanation:
a = πr²
a = π * 12²
a = π * 144
a = 452.3893421169
a = 452.4
WRITE an equation of the line that passes through the given point and is PARALLEL to the given line.
(10, -12), 3x + 4y = 1
Answer:
[tex]y=-\frac{3}{4}x-\frac{9}{2}[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Parallel lines always have the same slope1) Determine the slope (m)
[tex]3x + 4y = 1[/tex]
Rearrange the given equation into slope-intercept form (this will help us determine m)
Subtract 3x from both sides to isolate 4y
[tex]3x + 4y-3x = -3x+1\\4y= -3x+1[/tex]
Divide both sides by 4 to isolate y
[tex]y= -\frac{3}{4} x+\frac{1}{4}[/tex]
Now, we can identify that [tex]-\frac{3}{4}[/tex] is the slope of the line. Parallel lines have the same slope, so this would also be the slope of the line we're solving for. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-\frac{3}{4}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-\frac{3}{4}x+b[/tex]
Plug in the given point (10,-12) and solve for b
[tex]-12=-\frac{3}{4}(10)+b\\-12=-\frac{3}{2}(5)+b\\-12=-\frac{15}{2}+b[/tex]
Add [tex]\frac{15}{2}[/tex] to both sides to isolate b
[tex]-12+\frac{15}{2}=-\frac{15}{2}+b+\frac{15}{2}\\-12+\frac{15}{2}=b\\-\frac{9}{2} =b[/tex]
Therefore, the y-intercept is [tex]-\frac{9}{2}[/tex]. Plug this back into [tex]y=-\frac{3}{4}x+b[/tex]:
[tex]y=-\frac{3}{4}x-\frac{9}{2}[/tex]
I hope this helps!
I need these 4 I really don't understand this
Answer:
6:
[tex] {x}^{2} - 2x - 3 \\ = (x - 3)(x + 1) \\ when \: y = 2 \\ x = 1 \\ vertex \: is \: (1, \: 2)[/tex]
7:
[tex] {x}^{2} = - 625 \\ x = \sqrt{ - 625} \\ x = \sqrt{625} \times \sqrt{ - 1} \\ x = 25 \times \sqrt{ {i}^{2} } \\ x = 25 \times i \\ x = 25i[/tex]
HELPPPPP PLEASE !!!!!
Answer:
4th option 0,5,10,15
Step-by-step explanation:
Let's check if the first choice is geometric.
2*3 = 6. is 6*3 = 18, yes! is 18*3 = 54. Yep! its geometric
the second option multiplies by -2, it is geometric
the third option multiplies by 1/5, it is geometric
The fourth option does not multiply by anything common, it is Not geometric
Answer:
0,5,10,15 is not the sequence of geometric.
Generally, to check whether a given sequence is geometric, one simply checks whether successive entries in the sequence all have the same ratio. The common ratio of a geometric series may be negative, resulting in an alternating sequence.
Step-by-step explanation:
This is totally correct!
Jessie borrowed $1800 from the bank at a rate of 7.5% simple interest per year. Over the course of 4 years, how much interest did he pay?
How many three digit numbers greater than 540 can be formed using the digits
0,2,4,5,6,8 ?
Answer:
Step-by-step explanation:
Math help please urgent
Answer:
THREE AND SIX OR FOUR AND FIVE
Step-by-step explanation:
They're just opposite ends !
Step-by-step explanation:
Alternate Interior Angles: 3 and 6
Alternate Exterior Angles: 2 and 7
find the percent increase is admission to the amusement park is raised from $70 to $80.
Answer:
14.286% increase
Step-by-step explanation:
Since the admission to the amusement park increased by $10 we need to find what percentage of $70 equals $10.
We can find this percentage by multiplying 10 (the difference in money) by 100 (a hundred percent), and dividing that by 70 (the initial cost)
[tex]10*100/70=14.286[/tex]
Answer number 6 for me
Answer:
a^2 + b^2 = c^2
6^2 + 6^2 = c^2
36 + 36 = c^2
c^2 = 72
c = [tex]\sqrt{72}[/tex]
c=3[tex]\sqrt{8}[/tex]
c=8.485281374
Step-by-step explanation:
A company bought a piece of machinery for $16 200. In the first it depreciated 15%, and in the second year 10%. How much was it worth when two years old?
Circle P below, PC = 4 feet and m CD = 80°. Determine, to the nearest tenth, the area of the blue sector enclosed by
Answer:
11.2square feet
Step-by-step explanation:
Area of a sector = theta/360 * πr²
theta is the central angle = 80degrees
radius r = PC = 4ft
Substitute
Area of the sector = 80/360 * 3.14 * 4²
Area of the sector = 80/360 * 3.14 * 16
Area of the sector = 4,019.2/360
Area of the sector = 11.2ft²
Hence tthe area of the blue sector is 11.2square feet
I will mark you brainliest if you answer this
show your working
8)(7x3 + 3x2+ 4x + 10) – (10 + 8x + 3x3)
9)(5x4– 4x3– 3x – 4) – (2x – 6x3– 2x4)
10) (7x3– 9x2– 7x – 8) – (8 – 4x2– 6x3)
11) 4(a + 5) – 5(a2– 4a + 7)
12) 8(y + 6) – 6(y2– 6y + 4)
13) 3(c – 4) – 5(c2+ 4c – 8)
[tex]\huge\color{purple}\boxed{\colorbox{black}{♡Solution}}[/tex]
8.
[tex]7 {x}^{3} + 3 {x}^{2} + 4x + 10 - 10 - 8x - 3 {x}^{3} \\ = 7 {x}^{3} - 3 {x}^{3} + 3 {x}^{2} + 4x - 8x + 10 - 10 \\ = 4 {x}^{3} + 3 {x}^{2}- 4x[/tex]
9.
[tex]5 {x}^{4} - 4 {x}^{3} - 3x - 4 - 2x + 6 {x}^{3} + 2 {x}^{4} \\ = 5 {x}^{4} + 2 {x}^{4} - 4 {x}^{3} + 6 {x}^{3} - 3x - 2x - 4 \\ = 7 {x}^{4} + 2 {x}^{3} - 5x - 4[/tex]
10.
[tex]7 {x}^{3} - 9 {x}^{2} - 7x - 8 - 8 + 4 {x}^{2} + 6 {x}^{3} \\ = 7 {x}^{3} + 6 {x}^{3} - 9 {x}^{2} + 4 {x}^{2} - 7x - 8 - 8 \\ = 13 {x}^{3} - 5 {x}^{2} - 7x - 16[/tex]
11.
[tex]4a + 20 - 5 {a}^{2} + 20a - 35 \\ = - 5 {a}^{2} + 24a - 15[/tex]
12.
[tex]8y + 48 - 6 {y}^{2} + 36y - 24 \\ = - 6 {y}^{2} + 44y + 24 \\ = 2( - 3 {y}^{2} + 22y + 12)[/tex]
13.
[tex]3c - 12 - 5 {c}^{2} - 20c + 40 \\ = - 5 {c}^{2} - 17c + 28[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]
A particular strain of bacterium has 20 bacteria in generation 1 and triples in
population every generation. The explicit formula for the number of bacteria
in generation n is:
a(n) = 20-3(n-1)
How many bacteria are in generation 9?
A. 480
B. 131,220
C. 6561
D. 393,660