Ethan and Logan read a total of 23 books over the summer. Ethan read 5 more books than Logan. How many books did Logan read this summer? How many books did Ethan read this summer?

Answer:

9r^2 + 7r - 5

Step-by-step explanation:

Answer:

Area = 245 ft

(Width

Step-by-step explanation:

l = 5w

Where l is length and w is width.

We also know that the perimeter is 84 ft, so:

2l + 2w = 84

Now we can plug in 5w for l since we found the equality earlier:

2(5w) + 2w = 84

and then solve for w:

10w + 2w = 84

12w = 84

w = 7

so

l = 5 × 7

l = 35

The length is 35 and width is 7 so

the area of the rectangle is

[tex]7 \times 35 = 245ft [/tex]

Answer:

x=0 , x=-3

Step-by-step explanation:

Apply all exponent rules:

[tex]3^{x+3}[/tex] = [tex]3^{x}[/tex]×[tex]3^{3}[/tex]

[tex]\frac{1}{3^{x} }[/tex] = [tex](3^{x} )^{-1}[/tex]

Rewrite equation with [tex]3^{x}= u[/tex]

[tex]u[/tex] × [tex]3^{3}[/tex] + [tex]u^{-1}[/tex] - 28 = 0

Solve for u to give :

u = 1, u = 1/27

Substitute back u = [tex]3^{x}[/tex], solve for x :

[tex]3^{x}[/tex] = 1 , x= 0

[tex]3^{x}= \frac{1}{27}[/tex] , x= -3  
x=0 , x=-3

Substituting x back into original equation verifies our answers

Answer:

I believe that would be -24/16, -√2, 21/51, and then 0.42

Step-by-step explanation:

This is according to math app

Answer:

The cost of the racquet is $135

Step-by-step explanation:

Let

x-----> the cost of the racquet

we know that

The racquet represent the 100%

so

using proportion

x/100%= $9.45/7%

x=100%*($9.45)/7

x=$135

My math teacher help me with it.

Answer:

y = 3/5x + 1

Step-by-step explanation:

Formula:

y - y1 = m(x - x1)

Plug in:

y - (-2) = 3/5(x - (-5))

Two negatives make a positive:

y + 2 = 3/5(x +5)

Distribute 3/5 to (x + 5):

y + 2 = 3/5x + 3

Get y by itself by - 2:

y = 3/5x + 1

Hope this helps you :)

Answer:

3

Step-by-step explanation:

2k+1 = 3k -2

k =3

every child has a 1 mom

f 7 = 3 f7= -6 this is imposible

[tex]\sf \boxed{\bold{k = 3}}[/tex]

Explanation:

If the first values of the two ordered pairs are the same, the relation is not a function.

Solve:

2k + 1 = 3k -2

2k - 3k = -2-1

-k = -3

k = 3

When k = 3, for the relation R= {(2k+1, 3), (3k-2, -6)} will not be a function.

Answer:

6,300

Step-by-step explanation:

About 70% of the population will say yes, which is 6,300 out of 9,000

Answer:

6300

Step-by-step explanation:

70

___

100

said yes

there is 9000

change 100 to 9000

that x90

70x 90=6300

Answer:

12.7

Solving steps:-

d = a√2

d = 9 (1.41)

d = 12.69

d = 12.7

Answer:

1/4

Step-by-step explanation1/4

Answer:

[tex]b^x =A[/tex]

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

[tex]\textsf{Let}\:(x_1,y_1)=(h,k)[/tex] → new center of the circle

[tex]\textsf{Let}\:(x_2,y_2)=(x,y)[/tex] → point on the circle

Therefore, the radius (r) is the distance between (x, y) and (h, k)

Use the distance formula:

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=d[/tex]

[tex]\implies \sqrt{(x-h)^2+(y-k)^2}=r[/tex]

Square both sides:

[tex]\implies (x-h)^2+(y-k)=r^2[/tex]

Answer:

Option B

Step-by-step explanation:

Then we have to use distance formula to derive it

Option B is correct

Answer:

15

Step-by-step explanation:

i kinda remember i think

2(x+8)=46

Answer:

They need $60.32 in order to purchase the swing set.

Step-by-step explanation:

682.56-200.000 = 482.56

482.56/8 = $60.32

Answer: 38.2

Step-by-step explanation:

If two solids are similar with a scale factor of a/b, then the surface areas are in a ratio of [tex]\rm \left (\dfrac{a}{b } \right )^2[/tex].

If two solids are similar with a scale factor of a/b, then the volumes are in a ratio of [tex]\rm \left (\dfrac{a}{b } \right )^3[/tex].

Two shapes are similar if all their corresponding angles are congruent and their corresponding sides are proportional.

Two solids are similar if they are the same type of solid and their corresponding radii, heights, base lengths, widths, etc. are proportional.

When two shapes are similar in two dimensions, the ratio of their areas is the square of the scale factor.

A comparable relationship holds in three dimensions as well.

Surface Area Ratio: If two solids are similar with a scale factor of a/b, then the surface areas are in a ratio of [tex]\rm \left (\dfrac{a}{b } \right )^2[/tex].

Volumes of Similar Solids; Just like surface area, volumes of similar solids have a relationship that is related to the scale factor.

Volume Ratio: If two solids are similar with a scale factor of a/b, then the volumes are in a ratio of [tex]\rm \left (\dfrac{a}{b } \right )^3[/tex].

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Answer:

B

Step-by-step explanation:

Answer:

x=75

Step-by-step explanation:

2 * ln (e ^ ln (2x)) - ln (e ^ ln (10x)) = ln (30)

Apply exponent rules

2 * ln (2x) - ln (10x) = ln (30)

Apply log rules

2 * ln (2x) - ln (10x) = ln (30)

Apply log rule: logc(ab) = logc(a) +logc (b)

Apply exponent rules

2 * ln (2x) - ln (10x) = ln (30)

Apply log rules

2 * ln (2x) - ln (10x) = ln (30)

Apply log rule: logc(ab) = logc(a) + logc (b)

ln (2x) = ln (2) + ln (2)

2(ln (2) + ln (x)) - ln (10x) = ln (30)

Apply log rule: logc(ab) = logc(a) + logc (b)

ln (10x) = ln (10) + ln (x)

ln (2x) = ln (2) + ln (2)

2(ln (2) + ln (x)) - ln (10x) = ln (30)

Apply log rule: logc(ab) = logc(a) + logc (b)

ln (10x) = ln (10) + ln (x)

Apply log rule: logc(ab) = logc(a) + logc (b)

ln (10x) = ln (10) + ln (x)

2(ln(2)+ln(x))-(ln(10)+ln(x))=]

Expand 2(ln(2) +ln(x)

ln (x) + 2 * ln (2) - ln (10) = ln (30)

Subtract 2 * ln (2) - ln (10) from both sides

In(x) + 2ln(2) - In(10) - (2ln(2) - In

Simplify

ln (x) = ln (30) - 2 * ln (2) + ln (10)

Simplifify ln (30) - 2 * ln (2) + ln 10

ln (x) = ln (75)

Apply log rule: If logb(f(x)) = logb (g(x)) then f(x) = g(x)

x = 75

Verify Solutions: X = 75

Check the solutions by plugging them

into 2 * ln (2x) - ln (10x) = ln (30) Remove the ones that don't agree with the equation.

Plug in x =75

2 * ln (2 * 75) - ln (10 * 75) = ln (30)

2 * ln (2 * 75) - ln (10 * 75) = ln (30)

ln (30) = ln (30)

True

The statements that describe the variables x and y are:

In the graph that relates variables x and y (see attachment), we can see that the points are scattered on the coordinate plane and they do not follow a specific pattern.

If the points are scattered, then the graph shows no association.

Hence, the graph shows no association

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Answer:

CE

Step-by-step explanation:

CE IS THE REQUIRED ANSWER FOR THE GIVEN QUESTION

Answer:

120/7

Step-by-step explanation:

means90/7÷3/4

= 90/7 ×4/3

= 120/7

Answer:

58*48 is the answer for ((((5+5+6+6+8+8+10+10)*2)*4)*6

Step-by-step explanation:

Answer:

((((5+5+6+6+8+8+10+10)*2)*4)*6)=((((10+12+16+20)*2)*4)*6)=((((22+36)*2)*4)*6)=((((58)*2)*4)*6)=((116*4)*6)=(464)*6)=2784

Step-by-step explanation:

Answer:

The answer is F

Step-by-step explanation:

Because I said so

The question is an illustration of transformation, and the coordinates of the image of the triangle are (-3,7), (-2,4) and (0,6)

The coordinates of the triangle are given as:

(-6,-1), (-5,2) and (-3,0)

When the triangle is reflected across the line y = 2 is, the new points are

(-6,5), (-5,2) and (-3,4)

Next, we translate the image of the triangle using the translation

(x,y) -> (x + 3, y +2)

So, we have:

(-6,5) => (-6 + 3, 5 + 2) = (-3,7)

(-5,2) => (-5 + 3, 2 + 2) = (-2,4)

(-3,4) => (-3 + 3, 4 + 2) = (0,6)

Hence, the coordinates of the image of the triangle are (-3,7), (-2,4) and (0,6)

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Answer:

8/52 = 4/26 =2/13

Step-by-step explanation:

A there are 4 aces

5 there are 4 5s

4+4=8

Answer:

Equation:

(5x)° + (x - 6)° = 90

OR

5x + x - 6 = 90

x = 16

m

Angle1 = 80°

mAngle2 = 10°

Step-by-step explanation:

Angle 1 + Angle 2 adds up to 90°. The tiny square in the corner of the image shows you that the whole thing is 90°.

So write the equation base on that.

5x + x - 6 = 90

Combine like terms(add the x's)

6x - 6 = 90

Add 6.

6x = 96

Divide by 6.

x = 16

Fill in 16 for x to find the measures of the angles.

Angle 1 = 5x

= 5(16)

= 80°

Angle 2

= x - 6

= 16 -6

= 10°

And 80°+ 10° is 90° so that's a good check. Hope this helps!

Answer:

B

Step-by-step explanation:

when you subtact 3y on both sides

you get x = -3y+4

Answer:

about 272944 miles

Step-by-step explanation:

d=86,881mi

c=d(pi)

c=86881pi

c≈272944mi

Answer:

74

Step-by-step explanation:

This is called a central angle, meaning that what ever te angle measure is, is the same to its ark measure.

So to find that inside angle measure you have to subtract 360 by 286

whitch is 74

74 is your inside angle and the angle for ark AB

Algebraic rule

As

here the polynomial has degree 6

6 can be all negative or positive

Answer:

Both positive (or) negative

Step-by-step explanation:

The polynomial's degree is 6 and so the polynomial has 6 zeroes. These zeroes can be either positive or negative.