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?

Answers

Answer 1

Answer:

Logan: 9

Ethan: 14

Step-by-step explanation:

Let Ethan = e

Let Logan = l

1) We can set up two equations and solve them simultaneously.

e + l = 23

5 + l = e

1.1) To solve these equations, we can either use substitution or elimination.

5 + l + l= 23

2l = 23 - 5

2l = 18

l = 18/2

l = 9

2) Plug the result of l into one of the two equations above.

5 + 9 = e

14 = e


Related Questions

Helpppppppppppppppppp

Answers

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

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the second equation is substituted into the first equation.

3x + 2y = −21
x − 3y = 4

A. 3(3y + 4) + 2y = −21
B. 3(−3y + 4) + 2y = −21
C. 3x + 2(3y + 4) = −21
D. 3x + 2(−3y + 4) = −21

Answers

Answer:

B

Step-by-step explanation:

when you subtact 3y on both sides

you get x = -3y+4

State the possible Number of positive and negative zeros for each function.
f(x) = 9x6 -3x5+ 33x4 -11x³ + 18x²- 6x

Answers

Algebraic rule

If a polynomial has n th degree then it has n no of zeros

As

here the polynomial has degree 6

Total zeros 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.

Jupiter has a diameter
86.881 mi. What is the
circumference of the
planet?

Answers

Answer:

about 272944 miles

Step-by-step explanation:

d=86,881mi

c=d(pi)

c=86881pi

c≈272944mi

Solve for xx. Round to the nearest tenth of a degree, if necessary.

Answers

Answer: 38.2

Step-by-step explanation:

Hi, I need help, am struggling with this. Question is in image below. ​

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

90 over 7 EndFraction divided by 1 and three-fourths

Answers

Answer:

120/7

Step-by-step explanation:

means90/7÷3/4

= 90/7 ×4/3

= 120/7


A card is selected at random from a deck of cards.
Determine the probability that the card selected is A 5

Answers

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 number 7 part A please. Thank you.

Answers

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

What is the answer
((((5+5+6+6+8+8+10+10)*2)*4)*6)=

Answers

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:

In the diagram, a circle centered at the origin, a right triangle, and the Pythagorean theorem are used to derive the equation of a circle, x2 + y2 = r2.

If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle, which could represent the equation of the new circle?

A: (h + x)2 + (k + y)2 = r2
B: (x – h)2 + (y – k)2 = r2
C: (k + x)2 + (h + y)2 = r2
D: (x – k)2 + (y – h)2 = r2

Answers

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

√(x-h)²+(y-k)²=r(x-h)²+(y-k)²=r²

Option B is correct

1. What is the type of association between variables x and y?

options:

strong positive

strong negative

perfect positive

no association


2. What is the type of association between variables x and y?


options:

no association

moderate positive

weak negative

strong negative

Answers

The statements that describe the variables x and y are:

The association between variables x and y is (d) no associationThe type of association between variables x and y is (a) no association

How to determine the association

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

Read more about scatter plots at:

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Find the value of x


I need the answer ASAP

Answers

Answer:

15

Step-by-step explanation:

i kinda remember i think

2(x+8)=46

WILL GIVE BRAINLIEST

For what value of k will the relation R= {(2k+1, 3), (3k-2, -6)} not be a function?

Answers

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.

What is the arc measure of minor arc AB on circle P in degrees?

Answers

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

Edgy question please help

What is the true solution to the equation below?
2 in en 2x - In en 10x - In 30
x - 30
O x - 75
OX-150
X-300

Answers

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

Rewrite the log expression in exponential form:
logbA=x

Answers

Answer:

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

Step-by-step explanation:

Can someone help me?

Answers

Answer:

CE

Step-by-step explanation:

CE IS THE REQUIRED ANSWER FOR THE GIVEN QUESTION

The length of a rectangle is five time it’s width. If the perimeter of a rectangle is 84ft, find its area

Answers

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]

A coin is tossed two times what is the probability of getting tails twice

Answers

Answer:

1/4

Step-by-step explanation1/4

Answer:
The answer is 1/4
Step-by-step explanation:
The probability of getting a tail at the first toss is 1/2
And the probability of getting a tail at the second toss is also 1/2
So the total probability= 1/2 x 1/2 =1/4

PLEASE HELP ME!!!
I WILL MARK BRAINLIEST

Answers

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!

please help me for 15 points
if you don't know please don't try to comment wrong answer
please send with explaination​

Answers

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

What is the equation of the line that passes through the point (-5,-2) and has a slope of 3/5?

Answers

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 :)

Helppp meeeeee please ​

Answers

Answer:

The answer is F

Step-by-step explanation:

Because I said so

I NEED THAT ANSWER ASAP

Answers

Answer:

12.7

Solving steps:-

d = a√2

d = 9 (1.41)

d = 12.69

d = 12.7

Quentin agreed to pay 7% shipping and handling charge. If Quentin paid $9. 45 in shipping and handling, how much must the racquet have cost?

Answers

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.

Reflect triangle ABC over the line y = 2.

Translate the image by the directed line segment from (0, 0) to (3, 2).

What are the coordinates of the vertices in the final image?

Answers

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

How to transform the triangle?

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)

Read more about transformation at:

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Students are comparing their helghts. Jose is 416, feet tall, Lee is 414, feet tall, Judi is 4112, feet tall, and Sammy is 423. feet tall. Which student is the tallest?
f Judi
g Jose
h Sammy
j Lee

Answers

I think you meant 4 1/4, 4 1/2, 4 1/6, and 4 2/3.
So the answer to your question is Sammy because 414 is 4.25 and 412 is 4.5 and 416 is 4.1666667 and 423 is 4.6666667.
So who do you think is the tallest?
- 4.25
- 4.5
- 4.166667
- 4.666667

How is the scale factor, surface area ratio and volume ratio related?

Answers

the ratio of the surface areas of similar solids is equal to the square of their scale factor and that the ratio of their volumes is equal to the cube of their scale factor.

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].

What are the area and volume of similar solids?

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].

Learn more about the area here;

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Simplify: -15 + 23r + 9r^2 - 16r + 10

Answers

Answer:

9r^2 + 7r - 5

Step-by-step explanation:

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