Students make 58.5 ounces of liquid soap for a craft fair. They put the soap in 4.5 ounce bottles and sell each bottle for $5.50. How much do the students earn if they sell all the bottles of liquid soap?

Answer:

1 11/12

Step-by-step explanation:

rewriting our equation with parts separated

=1+14+23

Solving the fraction parts

14+23=?

Find the LCD of 1/4 and 2/3 and rewrite to solve with the equivalent fractions.

LCD = 12

312+812=1112

Combining the whole and fraction parts

1+1112=11112

Solution by Formulas

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

54+23

Applying the fractions formula for addition,

=(5×3)+(2×4)4×3

=15+812

=2312

Simplifying 23/12, the answer is

=1 11/12

Answer:

1 11/12

Step-by-step explanation:

add wholes = 1

then fractions 1/4 = 3/12      2/3=8/12

this then equals 1 11/12

See attachment for math work and answer.

The given statement in the form of inequality can be written as,[tex]-7 \dfrac{2}{3} \leq m \leq -10[/tex]

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that,

A number m is more than -7(2/3) or at most -10

From the given data it is observed that the value of the number lies between -7(2/3) and -10.\

The given data can be written in the terms of inequality as,

[tex]-7 \dfrac{2}{3} \leq m \leq -10[/tex]

Thus, the given statement in the form of inequality can be written as,[tex]-7 \dfrac{2}{3} \leq m \leq -10[/tex]

Learn more about inequality here:

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Step-by-step explanation:

Kindly find attached a detailed image to better understand the solution to this problem.

given that the total length of the line is 720ft

and also the line is divided into three sections

This means that the line will also be divided into three parts

720/3= 240feet so that a section will have two sides that are 240ft since the section forms a rectangular shape.

now for the other two sides

the total length of the rope is  = one length size of the rectangle+ 4 width size of the rectangle

one width size of the rope is x

then 4 width size is 4x

720=length of rectangle +4x

length of rectangle= 720-4x

area of a rectangle is =length *width

area of rectangle is =  (720-4x)*x

Hence the function A=  (720-4x)x can be used to solve for the area of the rectangle.

Answer:

He spent 144.42   and he got back 55.58

Step-by-step explanation:

Answer:

8x-32

Step-by-step explanation:

x+3+7(x-5)

Distribute

x+3 +7x -35

Combine like terms

x+7x  +3 -35

8x-32

Answer:

Length: 20, Width: 14

Step-by-step explanation:

(x-12)(x-18)

x^2-30x+216=280

x^2-30x-64=0

x=32,-2

Plug 32 into x, and see if it equals 280

Answer:   3/10 or  (Decimal form:  0.3)

Answer:

i think its b is it isn't dont beat me up

Answer:

4

Step-by-step explanation:

i belive this is the answer becuase 3 divided by (3/4)

Answer:

-22

Step-by-step explanation:

y=6x+(x-1)    original equation

y=6(-3) +(-3-1)   substitute x value

y= -18 + -4       simplify

y=-18-4        solve

y=-22

Answer:

error in step 1

Step-by-step explanation:

well where is does the step not make sense?

remember cos(pi) = -1 and sin(pi)=0

that means step 1 is strange... it didn't distribute properly

it should have been:

cos(pi) - cos(A)

hope that helps! ^-^

The error is made at step 1). The correct trigonometric identity is cos(π - A) = cosπcosA + sinπsinA.

Trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined.

cos(π - A) = cosπcosA + sinπsinA

Learn more about trigonometric identities here

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Answer: 12(a+5)

Step-by-step explanation: factor out 12 from the expression

ANSWER 12(a+5)

Answer:

45

Step-by-step explanation:

picking 18 flowers = 2/5 of garden or 40%

18÷.4=45

Answer:

$0

Step-by-step explanation:

I hope this helps!

Answer:

she can spend no more than 64, and if this is incorrect, do 63

Step-by-step explanation:

Answer/Step-by-step explanation:

Given:

m<2 = 125°

m<12 = 37°

m<18 = 102°

a. m<1 + m<2 = 180° (linear pair)

m<1 + 125° = 180° (substitution)

m<1 = 180° - 125°

m<1 = 55°

b. m<3 = m<18 (alternate exterior angles)

m<3 = 102° (substitution)

c. m<4 + m<3 = 180° (linear pair)

m<4 + 102° = 180° (substitution)

m<4 = 180° - 102°

m<4 = 78°

d. m<5 = m<2 (vertical angles)

m<5 = 125° (substitution)

e. m<6 = m<1 (vertical angles)

m<6 = 55° (substitution)

f. m<7 = m<12 (alternate angles)

m<7 = 37° (substitution)

g. m<8 + m<12 + m<13 = 180° (sum of triangle)

m<12 = 37° (given)

m<13 = m<18 = 102° (vertical angles)

m<8 + 37° + 102° = 180° (substitution)

m<8 + 139° = 180°

m<8 = 180° - 139°

m<8 = 41°

h. m<9 = m<18 (corresponding angles)

m<19 = 102° (substitution)

i. m<10 = m<6 (alternate interior angles)

m<10 = 55°

j. m<11 + m<6 + m<7 = 180° (sum of triangle)

m<11 + 55° + 37° = 180° (substitution)

m<11 + 92° = 180°

m<11 = 180° - 92°

m<11 = 88°

k. m<13 = m<18 (vertical angles)

m<13 = 102°

l. m<14 = m<4 (corresponding angles)

m<14 = 78°

m. m<15 = m<5 (corresponding angles)

m<15 = 125°

n. m<16 = m<6 (corresponding angles)

m<16 = 55°

o. m<17 = m<14 (vertical angles)

m<17 = 78°

Answer:

1. 37590000x0.986=37034160

2. 0.5x3.36=1.68

3. 500x0.64=320

Answer:

[tex]d=10[/tex]

Step-by-step explanation:

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

Step 1: Define endpoint coordinates

(2, 5)

(-6, -1)

Step 2: Substitute and Evaluate

[tex]d=\sqrt{(-6-2)^2+(-1-5)^2}[/tex]

[tex]d=\sqrt{(-8)^2+(-6)^2}[/tex]

[tex]d=\sqrt{64+36}[/tex]

[tex]d=\sqrt{100}[/tex]

[tex]d=10[/tex]

Answer:

Step-by-step explanation:

for 182 miles you need 14 gallons

???????                            8 gallons

8/14=x/182

x=182*8/14

x miles=104 miles

Answer:

- 8°

Step-by-step explanation:

Step 1:

40° + x + 58° + 90° = 180°       Sum of a Δ

Step 2:

188° + x = 180°       Combine Like Terms

Step 3:

x = 180° - 188°     Subtract 188 on both sides

Answer:

x = - 8°

Hope This Helps :)

Answer:

Sean swam 12 laps.

Step-by-step explanation:

Let S represent Sean

Let S+2 represent Amy

Let 2S represent Katie

Let 2S + 4 represent Tom

Now add together and set it equal to 78

S + S+2 + 2S + 2S+4 = 78

6S + 6= 78

6S=72

S=12

Answer:

they are bothdependant

Step-by-step explanation: they have to be because her test score depend on the number of answers she gets correct

Answer:

6

Step-by-step explanation:

Answer:

$15

Hope this helps! Please mark Brainliest!

i don't think any one can answer this and you be more specific

Answer:

answer is 5

Step-by-step explanation:

Step 1: Subtract 9 from both sides.

3x+9−9=24−9

3x=15

Step 2: Divide both sides by 3.

3x

3

=

15

3

x=5

Answer:

24 days is the answer

Step-by-step explanation:

If the book is 240 pages and each day 10 pages are read you could easily divide 240 by 10 and get 24.   However, you need to use the formulas for your answer I suppose.  So, to get the  x-intercept this is what you do.  You have to use the slope-intercept form y = mx+b  where m=-10 and b = 240 so you end up with y = -10x+240

So now you solve for x-intercept

0 = -10d+240

subtract 240 from both sides so       0 = -10d + 240

                                                         -240              -240

you are left with -240 = -10d.  Now simplify and divide each term by -10     -240/-10 = 24 and -10d/-10 = d

   you are left with d = 24 or 24 = d

You graph the equation by placing a point at  240 on the y axis and 24 on your X-axis.

Answer:

D step by step explanations