Mrs. Fox bought a bag of cookies for her math club students. If she gives each student 5 cookies, she will have 14 cookies left over. If she has 4 additional cookies, each student could receive 7 cookies and no cookies left over. How many students are in Mrs. Fox’s math club?

Answer:

x = 4

Step-by-step explanation:

To solve this equation, first you want to write the whole thing out.

32x - 1 = 243

Next you want to get the variable by itself, so you are going to use inverse operations. in the equation, it is 32x - 1, so you are going to add one to both sides, getting you this:

32x = 244

Now for the final step you are going to get x alone, so you are going to use inverse operations once more and divide 32 on both sides getting you your answer.

x = 4

Now if you want to check your work simply plug in x, and if it is equal, you got the correct answer!

I hope this helped and good luck with your math!

I'm really sorry if I'm wrong though, even though I already finished this unit a while ago I struggled on this one even though it is so easy compared to the equations I have now.

Answer:

x=3

Step-by-step explanation:

Answer:

1) AD=BC(corresponding parts of congruent triangles)

2)The value of x and y are 65 ° and 77.5° respectively

Step-by-step explanation:

1)

Given : AD||BC

AC bisects BD

So, AE=EC and BE=ED

We need to prove AD = BC

In ΔAED and ΔBEC

AE=EC (Given)

[tex]\angle AED = \angel BEC[/tex] ( Vertically opposite angles)

BE=ED (Given)

So, ΔAED ≅ ΔBEC (By SAS)

So, AD=BC(corresponding parts of congruent triangles)

Hence Proved

2)

Refer the attached figure

[tex]\angle ABC = 90^{\circ}[/tex]

In ΔDBC

BC=DC (Given)

So,[tex]\angle CDB=\angle DBC[/tex](Opposite angles of equal sides are equal)

So,[tex]\angle CDB=\angle DBC=x[/tex]

So,[tex]\angle CDB+\angle DBC+\angle BCD = 180^{\circ}[/tex] (Angle sum property)

x+x+50=180

2x+50=180

2x=130

x=65

So,[tex]\angle CDB=\angle DBC=x = 65^{\circ}[/tex]

Now,

[tex]\angle ABC = 90^{\circ}\\\angle ABC=\angle ABD+\angle DBC=\angle ABD+x=90[/tex]

So,[tex]\angle ABD=90-x=90-65=25^{\circ}[/tex]

In ΔABD

AB = BD (Given)

So,[tex]\angle BAD=\angle BDA[/tex](Opposite angles of equal sides are equal)

So,[tex]\angle BAD=\angle BDA=y[/tex]

So,[tex]\angle BAD+\angle BDA+\angle ABD = 180^{\circ}[/tex](Angle Sum property)

y+y+25=180

2y=180-25

2y=155

y=77.5

So, The value of x and y are 65 ° and 77.5° respectively

Answer:

227.5

Step-by-step explanation:

D=ST so X= 65 x 3.5 = 227.5 miles

D=Distance = x

S=Speed = 65

T=Time = 3.5

Answer:

the third one is correct

Answer:

16.7 Units

Step-by-step explanation:

To find the length of r, you set up the equation as sin(45)= 4.9/r. Then you get r by itself changing it to r = 4.9/sin(45). Then you can find that r = 6.9. Since this is an isosceles triangle, n^1 has to be equal to 4.9. Then you add all the side lengths together. 4.9 + 4.9 + 6.9 = 16.7 units

Answer:

it is b

Step-by-step explanation:

just because it is ...

Answer:

it is D. 5

Step-by-step explanation:

The long side (B) will always be (A root 3) meaning, if you just take away the square root of 3, then you get the short side A

Answer:

[tex]\boxed{Shortest\ Leg = 5}[/tex]

Step-by-step explanation:

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Where θ = 60 , opposite = [tex]5\sqrt{3}[/tex] and adjacent = shortest leg

=> Tan 60 = [tex]5\sqrt{3}[/tex] / shortest leg  (Tan 60 = √3)

=> Shortest Leg = [tex]\frac{5\sqrt{3} }{\sqrt{3} }[/tex]

=> Shortest Leg = 5

Answer:

how many feet of fencing does he have?

\

Step-by-step explanation:

Answer:

8 dimes and 10 quarters

Step-by-step explanation:

Answer:

8 quarters and 10 dimes

Step-by-step explanation:

8 quarters = $2 + 10 dimes = $1 = 18 coins and $3

Answer:

84.78cm^2

Step-by-step explanation:

first we do pi*r^2.

3.14*6^2=113.04

Then, because we know that 1/4 of the circle is missing, just multiply 113.04 by .75.

113.04*.75=84.78cm^2

Answer:

84.78cm^2

Step-by-step explanation:

Answer:

q .no d

Step-by-step explanation:

64p^3+125

4p^3+ 5^3

(4p+ 5 ) ( 4p^2- 4p *5 + 5^2)

(4p+5) (16p- 20p+ 25)

Answer:

The answer is

Step-by-step explanation:

64p³ + 125

Write the number in exponential form of 3

That's

4³p³ + 5³

Multiply the terms

That's

(4p)³ + 5³

Using the formula

Factor the expression

That's

( 4p + 5 )[ (4p)² - 4p(5) + 5²) ]

Solve the terms in the bracket

We have the final answer as

Hope this helps you

Answer:

A is right its acute angle

Step-by-step explanation:

because supplementary is 180

therefore A +B = 180

since we know A

B = 180- A

B = 73

which is an acute angle as its less than 90

pls mark me brainliest pls

Answer:

Step-by-step explanation:

(a) Acute

A=107 deg

B=?

given A+B=180

=> B=180-A

      = 180-107

      = 73

SO, B is an acute angle.

Answer:

c

Step-by-step explanation:

combine like terms:

5/7a^2+-5/7a+10

HOPE THIS HELPS!!!!!!:)

Answer:

1/3

Step-by-step explanation:

The slope of the line is found by

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

we have two point ( 0,0) and ( 3,1)

   = ( 1-0)/( 3-0)

   = 1/3

Answer:

1 hour

Step-by-step explanation:

The lion's speed is 1 sheep / 2 hours = ½ sheep/hour.

The wolf's speed is 1 sheep / 3 hours = ⅓ sheep/hour.

The dog's speed is 1 sheep / 6 hours = ⅙ sheep/hour.

Their combined speed is ½ + ⅓ + ⅙ = 1 sheep/hour.

So working together, it will take them 1 hour to eat 1 sheep.

Answer:

1 hour

Step-by-step explanation:

1/2 + 1/3 + 1/6 = 1

Answer:

4.5 hours

Step-by-step explanation:

Total number of boxes = 192

84 boxes = 3.5 hours

Remaining boxes = (192 - 84) = 108 boxes

84 boxes = 3.5 hours

1 box = (3.5 ÷ 8) hours

108 boxes = 3.5 × 108/84

108 boxes = 4.5 hours  (Answer)

Answer:

4.5 hours! The person above me is is correct.

Step-by-step explanation:

Answer:

Yes she has enough money. She would have $3.42 left over.

Answer:

Step-by-step explanation:

Rad [0,2[tex]\pi[/tex]]

f(x)=cos(x)+sin²(x)=cos(x)+1-cos²(x)

--[cos(x)-1/2]²+5/4=f(x)

when cos(x)=1/2,the f(x) has Max=5/4

cos(x)=1/2,x=[tex]\pi[/tex]/3(Rad) or 60°(Deg)

Answer:

a = 16

Step-by-step explanation:

To solve your question all you have to do is subtract 15 on both sides so,

15 - 15 + a = 31 - 15

Which will give you,

15 - 15 = 0

31 - 15 = 16

So,

a = 16

Hope this helps!!

Answer:

Step-by-step explanation:

[tex]15 + a = 31[/tex]

Move constant to R.H.S and change its sign

[tex]a = 31 - 15[/tex]

Subtract the numbers

[tex]a = 16[/tex]

Hope this helps..

Best regards!!

Answer:

  6 < x < 8

Step-by-step explanation:

The compound inequality in this instance represent the "and" condition, not the "or" condition.* We might solve it like this.

  -47 > 1 -8x > -63 . . . . given

Multiply by -1:

  47 < -1 +8x < 63

Add 1:

  48 < 8x < 64

Divide by 8:

  6 < x < 8

______

* You can tell this is the case by looking at the ends of the given statement:

  -47 > -63 . . . . a true statement, so the solution set will be an intersection, not a union.

Answer:

C

Step-by-step explanation:

CB is congruent to AB because the both are 30 degrees

Answer:

x = 4√3

y = 8√3

Step-by-step explanation:

This is a special 30° 60° 90° right triangle

In this special triangle if the side length that sees 30° is represented by x and the side length that sees 90° is represented by 2x and the side length that sees 60° x√3

Here, the side length that sees 60° is given as 12

12 = x√3 and x = 4√3 therefore y is 8√3

Answer:

3 or 3/1

Step-by-step explanation:

Slope is also known as rise/run.

The formula used to find slope is y^2-y^1/x^2-x^1.

The work is below:

-1-5/0-2

-6/-2

3/1

m=3

When we calculate the slope using the formula, we find that the slope(m) equals to 3/1 or 3 which means that you rise up by 3 and run to the right 1.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

The slope of the line through (0, 5) and (-2, -1) will be 3 or 3/1.

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same). A measure of steepness is a slope. When building roads, one must determine how steep the road will be. These are some examples of slopes in real life.

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given the line is passed through the following points,

(x₁,y₁)=(0, 5)

(x₂,y₂)=(-2, -1)

The slope of the line is found as,

m=(y₂-y₁) / (x₂-x₁)

Substitute the given values,

m=-(1-5)/(0-2)

m=(-6)/(-2)

m=3/1

The slope(m) equals 3/1, or 3 when we compute the slope using the formula, meaning that you rise up by 3 and move to the right by 1.

Thus, the slope of the line through (0, 5) and (-2, -1) will be 3 or 3/1.

Learn more about the slope here:

brainly.com/question/3605446

#SPJ2

Answer:

[tex]\boxed{p=\sqrt[3]{8}}[/tex]

Step-by-step explanation:

p³ = 8

Take the cube root on both sides.

[tex]\sqrt[3]{p^3 } =\sqrt[3]{8}[/tex]

[tex]p=\sqrt[3]{8}[/tex]

Answer:

[tex]\boxed{Option \ A}[/tex]

Step-by-step explanation:

[tex]p^3 = 8[/tex]

Taking cube root on both sides

[tex]\sqrt[3]{p^3} = \sqrt[3]{8}[/tex]

=> p = [tex]\sqrt[3]{8}[/tex]

Answer:gjcnlfjdk

Step-by-step explanation:

Answer:  ln5 - ln2 ≈ 0.919

Step-by-step explanation:

[tex]\int\limits^2_1 {\dfrac{2x}{x^2+1}} \, dx\qquad \qquad =\int\limits^2_1 {(x^2+1)^{-1}} \, 2xdx[/tex]

Let u = x² + 1    →    du = 2x

[tex]\text{Then we have:}\quad \int\limits^2_1 {u^{-1}} \, du \qquad =ln|u|\bigg|^2_1[/tex]

Substitute u = x² + 1

[tex]ln|x^2+1|\bigg|^2_1\quad =ln|2^2+1|-ln|1^2+1|\quad = ln|5|-ln|2|[/tex]

Answer:

114

Step-by-step explanation:

if,

24inches=72cents

38inches=?

we cross multiplication,

38times72=2736 divide with 24=114

The answer is114

Answer:

114............

Step-by-step explanation:

Answer:

Triangle P and Triangle Q are mathematically similar shapes (?).

Step-by-step explanation:

Hi, so the question asks which statement is true, given the following information, but you haven't written what statements we can choose from.

After reading the information, we can see that Triangle Q is the same shape as Triangle P but just larger.

I'm assuming that one of the statements given is about Triangle P and Triangle Q being mathematically similar shapes?

If you need to show your working out, here it is:

18 ÷ 6 = 3

24 ÷ 8 = 3

30 ÷ 10 = 3

All the angles are the same.

This means that the length scale factor is +3 from Triangle P to Triangle Q, the area scale factor is +9 (because 3 x 3 = 9) from Triangle P to Triangle Q, and that the two shapes are mathematically similar.

*DISCLAIMER* The majority of question askers on Brainly seem to be from the US, and I'm not, so the way I work things out / the mathematical terms I use might be different. Sorry!

Hope this helped anyway!

Bluey :)

Answer:

It's c

Step-by-step explanation:

already did this

Answer:

add pic

Step-by-step explanation:

Answer:

m=6.5

Step-by-step explanation:

thats what you type in

Answer:

12 units

Step-by-step explanation:

Notice that as we go from Q to R, x (the horizontal distance) increases by 12 and y (the vertical distance) does not change.  Thus, the distance between the two points is merely the horizontal distance, 12 units.