Dani spent $6,300 on a used car. She paid $630
as a down payment. What fraction of the orig-
inal cost was the down payment?
A. 1/10
B. 1/18
C. 1/20
D. 1/40

The total number of cars both the student and the teacher made is 49

let

total cars = x

cars made by student = s

cars made by teacher = t

Total = student + teacher

x = s + t

s = 2/7x

So,

x = 2/7x + t

x - 2/7x = t

t = (7x - 2x) / 7

t = 5/7x

Similarly,

s = t - 21

s = 5/7x - 21

equate both s equation

2/7x = 5/7x - 21

2/7x - 5/7x = -21

(2x - 5x) / 7 = -21

- 3/7x = -21

x = -21 ÷ -3/7

= -21 × - 7/3

= (-21 × -7) / 3

= 147/3

x = 49

Therefore, the total number of cars both the student and the teacher made is 49

Learn more about fractions:

https://brainly.com/question/11562149

Equivalent expressions are expressions of different forms that have the same value

The equivalent simplified expression of [tex]\sqrt[5]{\frac{10x}{3x^3}}[/tex] is [tex]\sqrt[5]{\frac{810x^3}{243x^5}}[/tex]

The equation is given as:

[tex]\sqrt[5]{\frac{10x}{3x^3}}[/tex]

Multiply the fraction by 810x^2.

So, we have:

[tex]\sqrt[5]{\frac{10x}{3x^3}} =\sqrt[5]{\frac{10x \times 81x^2}{3x^3\times 81x^2}}[/tex]

Evaluate the products

[tex]\sqrt[5]{\frac{10x}{3x^3}} =\sqrt[5]{\frac{810x^3}{243x^5}}[/tex]

Hence, the equivalent simplified expression of [tex]\sqrt[5]{\frac{10x}{3x^3}}[/tex] is [tex]\sqrt[5]{\frac{810x^3}{243x^5}}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/9603710

Answer:

d

Step-by-step explanation:

Answer:

Option B: [tex]y=\left \{ {{x^2+6,x<3} \atop {-x+6,x\geq3}} \right.[/tex]

Step-by-step explanation:

We can see that the first part of the piecewise function is a parabola with a y-intercept of (0,6) where the domain is restricted for all values of x less than 3 given the open circle at x=3.

The second part of the piecewise function is a linear function with a negative slope where the domain is restricted for all values of x greater than or equal to 3 given the closed circle at x=3.

Essentially, the piecewise function has a jump discontinuity at x=3 where the first part of the function goes to the second part of the function at one point by "jumping".

Answer:

a) 137.9°

b) 12.2° (please refer to explanation because I didn't know what to round to)

Step-by-step explanation:

1a) A supplementary angle will equal 180°, so you must subtract 42.1 from 180

180-42.1 = 137.9

1b) A complementary angle will equal 90°, so you need to use the expression given and add an x for the other part of 90°

8x-20+x = 90

9x-20=90

9x=110

x=12.2

Answer:

A

Step-by-step explanation:

Answer:

Line 3

Step-by-step explanation:

Line three should be

2*3*sqrt(5)-3sqrt(5)

Answer:

t = 6.3

Step-by-step explanation:

t + 7.45 = 13 [tex]\frac{3}{4}[/tex] = 13.75 ( subtract 7.45 from both sides )

t = 6.3

The expression 5/m - (m+8)/(m^2-4m) is equivalent to 4(m-7)/m(m-4) option (C) is correct.

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have a expression:

[tex]=\rm \frac{5}{m} - \frac{m+8}{m^2-4m}[/tex]

To simplified the above expression take the LCM  [tex]\rm m^2-4m[/tex]

[tex]=\rm \frac{5(m-4)-(m+8)}{m^2-4m}[/tex]

[tex]=\rm \frac{5m-20-m-8}{m^2-4m}[/tex]

[tex]=\rm \frac{4m-28}{m^2-4m}[/tex]

[tex]=\rm \frac{4(m-7)}{m(m-4)}[/tex]

Thus, the expression 5/m - (m+8)/(m^2-4m) is equivalent to 4(m-7)/m(m-4) option (C) is correct.

Learn more about Polynomial here:

brainly.com/question/17822016

Answer:

see photo

Step-by-step explanation:

Plato/Edmentum

Step-by-step explanation:

Area of Semi Circle

The area of a semicircle is half of the area of the circle. As the area of a circle is πr2. So, the area of a semicircle is 1/2(πr2 ), where r is the radius.

1 box?

I'm confused whether you made a mistake writing the question or of this is what the actual question is like.

Answer:

LCM(57624, 416745) = 23,337,720 or  LCM = 23337720

Step-by-step explanation:

List all prime factors for each number.

Prime Factorization of 57624 is:

2 x 2 x 2 x 3 x 7 x 7 x 7 x 7  =>  23 x 31 x 74

Prime Factorization of 416745 is:

3 x 3 x 3 x 3 x 3 x 5 x 7 x 7 x 7  =>  35 x 51 x 73

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 2, 3, 3, 3, 3, 3, 5, 7, 7, 7, 7

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 7 x 7 x 7 = 23337720

In exponential form:

LCM = 23 x 35 x 51 x 74 = 23337720

LCM = 23337720

Therefore,

LCM(57624, 416745) = 23,337,720

Answer:

the answer is 34°

Step-by-step explanation:

a straight line = 180°

just do 180 - 146 = 34

D because the line is not "dotted' and it's on the y intercept and not in the x-axis

Answer:

we have

(x+2)^{2} +5(x+2)-6=0(x+2)

2

+5(x+2)−6=0

Let

u=(x+2)u=(x+2)

Substitute in the expression

(u)^{2} +5(u)-6=0(u)

2

+5(u)−6=0

therefore

the answer is

(u)^{2} +5(u)-6=0(u)

2

+5(u)−6=0 is equivalent to (x+2)^{2} +5(x+2)-6=0(x+2)

2

+5(x+2)−6=0

Answer:

2.41666666667

Step-by-step explanation:

2.41666666667 is the answer because of the additon. Just convert it.

2.41666666667 as a fraction equals 241666666667/100000000000.

Answer:

7/4 + 2/3 = 2 5/12

Step-by-step explanation:

What is 7/4 plus 2/3?

FractionCalculator

It can sometimes be difficult to add fractions, such as 7/4 plus 2/3.

But it's no problem! We have displayed the answer below:

7/4 + 2/3 = 2 5/12

How did we solve the problem above? When we add two fractions, such as 7/4 + 2/3, we make sure that the two denominators are the same and then we simply add the numerators.

In cases where the denominators are not the same, we find the lowest common denominator and adjust the fractions to keep them.

Answer:

11 miles per hr because 10 miles took 50 minutes so add 1 mile and it is 1hr. Which is 11 miles per hr

Answer:

63 degrees

Step-by-step explanation:

Angle IGH is 40 degrees because it is vertical to angle BGD.

Angle HIG is 77 degrees because it is a linear pair with CIH.

Since 2 of the angles of triangle GHI are 40 and 77 degrees, and the 3 angles add to 180, angle IHG must be 63 degrees

The figure that comes next in the pattern below is option D.

Option D is the correct answer.

We have,

From the pattern,

The next figure must be a white figure.

Now,

We see that,

The two small figure inside the figure is moving in a clockwise direction.

So,

The next figure in the pattern is option D.

Thus,

The figure that comes next in the pattern below is option D.

Learn more about the pattern here:

https://brainly.com/question/29262072

#SPJ2

Patrick is correct, since the two parts of the statement are equal.

From the question,

Patrick said that the product of any number and 4 is always double the product of that number and 2. We are to investigate if Patrick is correct.

First, let the number be x,

From the first part of the statement

The product of any number and 4

That is,

4 × x = 4x

And

The second part of the statement,

double the product of that number and 2

That is,

2(x × 2) = 2(2x)

Now, we will investigate if

4x = 2(2x)

Expand the right hand side of the equation

That is,

4x = 2 × 2x  

Then, we get

4x = 4x

Since the two parts of the statement are equal, then Patrick is correct.

Hence, Patrick is correct, since the two parts of the statement are equal.

Learn more here: https://brainly.com/question/14176303

Answer:

Is that the full question? I can't solve this unless I have the full question. I don't know how many different meals she sold.

hi have a nice day,❤️

Occurrence of diversity in ecosystem sustains particular characteristic of a biological community and also ensures stability of the community. Transgenic crops may affect insect biodiversity by unintended impacts on non-target arthropod population. For example, transgenic GM cotton specific to target lepidopterous pests can change the cotton pest spectrum and may induce the growth of new harmful pest species having no pest status. The change in species composition may influence IPM approach in cotton crop. The results of authors’ research studies as well as global impact indicate that GM cotton is highly specific to target pests and has no unintended impact on non-target insect population. GM cotton provides significant season-long field control of target pests (Helicoverpa armigera, Earias spp. and Pectinophora gossypiella), with no significant control of Spodoptera species. The decreased insecticide use in GM cotton has a positive impact on beneficial insect populations and can increase the stability of rare species.

Answer:

The caterpillars instead ate the cotton flowers and damaged cotton production.

Explanation:

Bt cotton was developed for cold temperate countries like the US where pests are limited - chiefly the bollworm, against which the Bt toxin works and pest load in fields is not high.

But the problem is with the warmer climates like India, where bollworms flourish. Over time, because of the sheer amount of bollworms in warmer climates like India or Southern United States, these bollworms grown an immunity to the Bt toxin and we are back to square one.

~That's All Folks~

-Siascon

Answer:

B.  x = 33

Step-by-step explanation:

Answer:

WEIGHT

550 to 880 pounds

LIFESPAN

25 to 35 years

LENGTH

7.5 to 10 feet

THREATS

Entanglement, harassment, chemical contaminants, oil spills and energy exploration, vessel and vehicle interactions

REGION

New England/Mid-Atlantic

Step-by-step explanation:

Step-by-step explanation:

Hmm so a pup gains 28% weight every day for the next 10 days.. But a day old puppy weight 17.92kg sooo

28%+10every day=10.28

17.92-28%=12.9

17.92x10=179.2

Hmmmm

Well a seal pup weights 8-12kg on birth so ye I was right anweser is 12

Answer:

ok so first you got to wait All the faith he had had had had no effect on the outcome of his life. ...

2 One morning I shot an elephant in my pajamas. ...

3 The complex houses married and single soldiers and their families. ...

4 The man the professor the student has studies Rome.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Use the formula rise/run. The rise, in this case, was 3 and the run was 1. There for it would be 3/1 which is simplified to 3.

Answer:

lp

Step-by-step explanation:

y

The equation of the line for the graph that has y-intercept (0, 6) and contains the point (2, 1) is; y = -2.5x + 6

The general form of the equation of a Line in Slope Intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

We are told that the graph has the points (0, 6) and (2, 1). Thus, the formula for slope is;

m = (y₂ - y₁)/(x₂ - x₁)

m = (1 - 6)/(2 - 0)

m = -5/2

m = -2.5

Now, since the y-intercept is at (0, 6), then it means that;

c = 6

Thus, the equation of the line is; y = -2.5x + 6

Read more about slope intercept form at; https://brainly.com/question/1884491

#SPJ1