Simplify. Write the answer using scientific notation.
8(710-3)
A. 56 x 10-3
B. 5.6 *10-2
C. 4.48 x 10-1

Answer:

There are 1,360 pears.

Step-by-step explanation:

Suppose that there are P pears and A apples.

We know that:

"If 20 apples and 60 pears are sold every hour, there will be 80 pears when all the apples are sold."

Suppose that all of these are sold after N hours, then:

20*N = A

80*N = P - 80

We also know that:

"if 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold."

60*N = A

20*N = P - 400

Then we have four equations:

20*N = A

80*N = P - 80

60*N = A

20*N = P - 400

From the first one and the second one, we get:

20*N = A = 20*N = P - 400

A = P - 400

Now we have 3 equations:

80*N = P - 80

60*N = A

A = P - 400

Now we can just replace the third equation into the second one, then we get:

60*N = A = P - 400

Now we have two equations:

80*N = P - 80

60*N = P - 400

Now, remember that we want to find the number of pears, so we want to find the value of P.

To do it, we can take the quotient of the two equations, so we get:

(80*N)/(60*N) = (P - 80)/(P - 400)

8/6 = (P - 80)/(P - 400)

Now we can solve this for P

(8/6)*(P - 400) = P - 80

(8/6)*P - (8/6)*400 = P - 80

(8/6)*P - P = (8/6)*400 - 80

(2/6)*P = (8/6)*400 - 80

P = (6/2)*( (8/6)*400 - 80 )

P = 3*( (8/6)*400 - 80 ) = 1,360

There are 1,360 pears.

Answer:

-8x^7

Step-by-step explanation:  

Hint :

Formula :

[tex] a^ma^n=a^{m+n}[/tex]

Answer :

[tex] - 8 {x}^{7} [/tex]

Explanation :

[tex] - 2x^5(4x^2)[/tex]

[tex]−2 \times 4x^5x^2[/tex]

[tex]−2 \times 4( {x}^{2} x^5)[/tex]

[tex]−2 \times 4 {x}^{2 + 5} [/tex]

[tex]−2 \times 4x^7[/tex]

[tex] - 8 {x}^{7} [/tex]

Answer:

If a question says "A is a 29% of B," then you can write

A

=

29

100

B

.

Step-by-step explanation:

Answer:

a, e, and d are all congruent

Step-by-step explanation:

they r all the same size and lengths

Those three triangles are; A,D,E

How? well see the attachment for this, have tried to make you understand.

Answer:

Here we have the equation:

y = 4*x^2 - 4*x - 1

And we should have the graph (you can see it below this answer)

Now we want to find the solutions of:

4*x^2 - 4*x - 1 = 0

These solutions will be the two values of x at which the graph of our function intersects the line y = 0, that is the x-axis.

Then we need to find the two values of x at which our graph intersects the x-axis.

In the graph, we can estimate the solutions as:

x = -0.2

x = 1.2

To find the exact solutions we can use the Bhaskara's equation, and we will find that the solutions are given by:

Then the two solutions are:

x = (4 + 5.66)/8 = 11.2075

x = (4 - 5.66)/8 = -0.2075

Step-by-step explanation:

Answer:

slope = 1

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)

          = (1-0)/(4-3)

          = 1

Side note: I used the points (3,0) & (4,1)

Answer:

1

Step-by-step explain

firstly find any two point on the line

e.g. (0,-3) and (3,0)

for any straight line

[tex]m=\frac{y'-y}{x'-x}[/tex]

where m is slope, y' x' y x are coordinates of two point (x,y) and (x',y')

in this case, we can use (0,-3) and (3,0)

[tex]m=\frac{0-(-3)}{3-0} =\frac{3}{3} =1[/tex]

Answer:

2464 yd²

Step-by-step explanation:

Use the circle circumference formula: 2πr

2·[tex]\frac{22}{7}[/tex]·r=176

[tex]\frac{44}{7}[/tex]r=176

r=176·[tex]\frac{7}{44}[/tex]

r=28

Area of circle formula: πr²

[tex]\frac{22}{7}[/tex]·r²

[tex]\frac{22}{7}[/tex]·28²

[tex]\frac{22}{7}[/tex]·784

=2464 yd²

Answer:

[tex]\text{B. }1.5, 2, 2.5,\\\text{C. }4, 4, \sqrt{32}[/tex]

Step-by-step explanation:

All right triangles must follow the Pythagorean Theorem [tex]a^2+b^2=c^2[/tex] where [tex]c[/tex] is the hypotenuse of the triangle.

Verify:

[tex]1.5^2+2^2=2.5^2\checkmark,\\4^2+4^2=\sqrt{32}^2\checkmark[/tex]

Answer:$p$ =$4 when $q=49$.

Step-by-step explanation:

If $p$ and $q$ are inversely proportional, then mathematically, they are represented as

$p$ ∝ 1/$q$

So that introducing the constant of proportionality,k becomes

$p$ =k 1/$q$

$p$ =k /$q$

When $p=28$ when $q=7$,K becomes

$p$ =k /$q$

$28=K/ $7

k=$28 x $7 =$196

Now when $q=49$.,  $p$ becomes?

$p$ =k /$q$

$p$ =$196/49$

$p$ =$4

Answer:

21.16 m^2

Step-by-step explanation:

perimeter of square=4l

18.4/4=l

4.6=l

area of square=l^2

=4.6^2

=21.16 m^2

Answer:

4

Step-by-step explanation:

because its 4

The length of Line segment AC is 12ft.

The given triangle ABC is similar to triangle BMN

The length of AM = BM = 4ft

The length AB = BM + AM = 4 ft + 4ft = 8ft

The length of Line segment AC is calculated by using similar triangle proportions as follows;

[tex]\frac{AB}{BM} = \frac{AC}{MN} \\\\\frac{8}{4} = \frac{AC}{6} \\\\2 = \frac{AC}{6}\\\\AC = 2(6)\\\\AC = 12 \ ft[/tex]

Learn more about similar triangles here: https://brainly.com/question/11899908

Answer:

the correct answer is (-7,-2,7,0)

Answer:

Angles 1 and 2 are 115 degrees. Angles 3 and 4 are 65 degrees.

Step-by-step explanation:

7x - 4 + 3x + 14 = 180 (angles 1 and 3 form a straight line so they add to 180 degrees)

10x + 10 = 180

10x = 170

x = 17

m<1 = 7(17) - 4 = 115

m<3 = 3(17) + 14 = 65

Opposite angles are equivalent so m<2 = 115 and m<4 = 65.

Answer: 4.4

Step-by-step explanation:

it would be 4.4 because 10 x 6.9 = 69

have a great day! (brainliest?)

Answer:

9.7

Step-by-step explanation:

tan 44° = x / 10

x = 10 tan 44°

9.7

Answer:

90-15x

Step-by-step explanation:

x being the number of weeks

Answer:

6.12

Step-by-step explanation:

tan 27≈0.51

Know that tan=[tex]\frac{opposite}{adjacent}[/tex]

0.51=[tex]\frac{x}{12}[/tex]

Multiply 12 on both sides

6.12=x

Answer:

8x = 75 + 5x

where x = length of one brick

25cm

Step-by-step explanation:

Answer:

The best choice of answer answer is = 1521036

Answer:

it is a Equilateral triangle

Answer:

6

Step-by-step explanation:

Just got it right.

Answer:

9 hours

Step-by-step explanation:

you can find the unit rate by dividing 135 by 5 to get 27 toys per hour

243 ÷ 27 = 9

Answer:

XYUV=123=4

Step-by-step explanation:

The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. Here, XYUV=123=4 . So, the scale factor is 4

Answer: albert ein is correct

Step-by-step explanation:

Answer:

4 minutes

Step-by-step explanation:

27  gallon -> 6 min

1 min -> 27 ÷ 6

             = 4.5 gallon

18 ÷ 4.5 = 4 min

Answer:

~0.16

Step-by-step explanation:

quotient, i believe, is just the answer to a division problem. divide normally and u get 0.1629

Answer:

Maybe the answer is 0.1629

Answer:

51

Step-by-step explanation:

To get the perimeter, add all the side lengths: 5+10+12+24=51

Answer:

Step-by-step explanation:

On a number line, -2 appears to the right of -5, and therefore -2 is warmer than -5.  (Answer A)

The difference between -2 and -5 is -2 - (-5) = 5 - 2 = 3 degrees C  (Answer B)

In other words, -2 is 3 degrees C warmer than -5 degrees C.

Answer:   A

Step-by-step explanation: IS THE RIGHT ANSWER 75 DEGREES.