every day of the week sam's swim shop offers a different deal to its loyal customers. if the total price neil paid was $92.30 and it would normally cost $142.00, what percent off was the daily deal?

Answer:

x ≥-4

Step-by-step explanation:

-7x+13 ≥41

-7x ≥28 (subtraction property of equality on both sides-subtract 13)

x ≥-4 (division property of equality on both sides-divide by -7)

9514 1404 393

Answer:

Step-by-step explanation:

For mixture problems, I like to use a single variable to represent the quantity of the greatest contributor (greatest cost or greatest concentration). Let that variable be x.

1. In this problem, the amount of the greatest contributor is already fixed, so we'll use x for the amount of walnuts. The cost of the mix is ...

  0.80x + 1.25(8) = 1.00(x +8)

  2 = 0.2x . . . . . . . . . . . . . . . . . subtract 0.8x+8, simplify

  10 = x . . . . . . . . . divide by 0.2

10 pounds of walnuts must be used.

__

2. The amount of acid in the mix is ...

  12%(8 -x) +32%(x) = 20%(8)

  20%(x) = 8%(8) . . . . . . . . . . . . subtract 12%(8)

  x = 8(8)/20 = 3.2 . . . . . . . . . . divide by 20%

  8-x = 4.8

3.2 liters of 32% acid must be mixed with 4.8 liters of 12% acid

_____

Comment on mixture problems

The general solution for mixture problems that have a greater contributor (G), a lesser contributor (L), and a mix value (M) is ...

  g/l = (M -L)/(G -M) . . . . . . ratio of quantities of G and L

In the first problem, this becomes ...

  8/l = (1.00 -.80)/(1.25 -1.00) = .2/.25 = 4/5  ⇒  l = 8(5/4) = 10

In the second problem, this becomes ...

  g/l = (20-12)/(32-20) = 8/12 = 2/3  ⇒  g = (2/5)(8) = 3.2; l = (3/5)(8) = 4.8

In this case, we recognize that the ratio of 2 parts to 3 parts means that the greater contributor is 2 of 5 total parts.

Answer:

Pack of 6

Step-by-step explanation:

Pack of 4 = £1

Packs of 6 = £1.20

Price per unit of each pack:

Pack of 4 ;

Unit price : cost / units

Unit price = £1 / 4 = £0.25

Pack of 6 ;

Unit price : cost / units

Unit price = £1.20 / 6 = £0.20

Pack of 6 is the best value for money as it has a lower unit price

Answer:

38.57 feets

Step-by-step explanation:

Given that:

Height of monument, h = 300ft

Shadow of monument, s = 210 ft

Shadow of tree, s = 27ft

Height of tree, = x

Using the relation :

Height / shadow = height / shadow

Monument = tree

300 / 210 = h / 27

Cross multiply

300 * 27 = 210 * h

8100 = 210h

h = 8100 / 210

h = 38.57 feets

Answer:

15.25

Step-by-step explanation:

You're Welcome!

Answer:

15.25 (what's important to remember when doing problems with decimals is remembering to put it in the right place. )

hope this helped you out!

Step-by-step explanation:

Answer:

x=4/3 and y=172/3

Step-by-step explanation:

hope this helps!

Answer:

5) x = 12 6) y = 3.5

Step-by-step explanation:

For number 6 that one may be right I tried several ways and kept getting that answer

5. is completely write though

Hope that helps

Answer:

Question 5: x = 12, Question 6: y = 2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Use the Pythagorean Theorem to calculate missing sides.

Question 5 explanation: [tex]x^{2} + 9^2 = 15^2[/tex]n:  ⇒ [tex]x^{2} + 81 = 225[/tex] ⇒ [tex]x^{2} = 144[/tex] ⇒ [tex]x=12[/tex]

Question 5 explanation: [tex]y^{2}+6^2 =(4\sqrt{3})^2[/tex] ⇒ [tex]y^{2} + 36 = 48[/tex] ⇒ [tex]y^2 = 12[/tex] ⇒ [tex]y=2\sqrt{3}[/tex]

Answer:

36.24

Step-by-step explanation:

- 3 * 2 = - 6

73 / 76 = 0.96

0.96 * (-6) = -5.76

42 - 5.76 = 36.24

Answer:

6 elephants and 3 kangaroos in the zoo.

Step-by-step explanation:

Number of animals = 9

Number of legs seen = 30

But an elephant has 4 legs, while a kangaroo has 2 legs.

Let the number of elephant be represented by E, and the number of kangaroo by K.

So that,

E + K = 9 .................. 1

4E + 2K = 30 ............. 2

Multiply equation 1 by 2 to have

2E + 2K = 18 ............ 3

Subtract equation 3 from 1

2E = 12

E = 6

Substitute the value of E in equation 1

E + K = 9

6 + K = 9

k = 3

Thus, there were 6 elephants and 3 kangaroos in the zoo.

Answer:?

Step-by-step explanation:

Answer:

Option B. 8

Step-by-step explanation:

[tex]1 \frac{3}{4} d = 14[/tex]

[tex] \frac{7}{4} d = 14[/tex]

[tex]d = 14 \times \frac{4}{7} [/tex]

[tex]d = 8[/tex]

Hence, required value of d is 8.

Answer:

(-3,-1)

Step-by-step explanation:

For the answer (-2,2) you are moving 7 units. (5,3) you are moving 7 units as well. For (3,4) you are moving 6 units. By process of elimintaion, we know the answer is (-3,-1).

Answer:

false

Step-by-step explanation:

you have to order them from least to greatest in order to find the answer

Answer:

x = 5

Step-by-step explanation:

Answer:

X=5

Step-by-step explanation:

Answer:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

(0,2)

Equation Form:x=0, y=2

Answer:

(0,2)

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of  y  opposite.

3*2x-y=3*-2

Simplify

6x-3y=-6

Add the two equations

10x = 0

Divide both by 10 and simplify

x=0

Substitute x into the equations.

4*0+3y=6

3y=6

2

y=2

Answer:

158 correct

Step-by-step explanation:

158

Step-by-step explanation:

Answer:

317.52

Step-by-step explanation:

Label the point where the altitude meets the base P and the end points of the base A and B where m∠A = 27 and m∠B = 41

tan 27 = 102/AP    and tan 41 = 102/PB

APtan 27 = 102            PBtan 41 = 102

AP = 102/tan 27                 PB =  102/tan 41

AP = 200.186                     PB = 117.338

x = AP + PB = 200.186 + 117.338 = 317.52

Answer:

99 pounds

Step-by-step explanation:

7.5×6=45kg

1kg=2.2lb and we have 45kg because this is direct proportion what you do to one side you havbe to do to the other

so 2.2lb×45 gives you 99 pounds

Answer:

1 hour = 7.50

5 hours = 37.50

9 hours = 67.50

7.50 per hour.

97.50 = 13 hours

Step-by-step explanation:

like this

[tex] \frac{22.50}{3} [/tex]

or

[tex] \frac{52.50}{7} [/tex]

= 7.50/1 hour

hope it helps you ☺️

Answer:

1. 7.50

5. 37.50

9. 67.50

Unit rate- 15$ an hour.

She worked 11 hours.

Hope these answers are right and hope they help.

Answer:

saturday

Step-by-step explanation:

monday:

17.88 (price) divided by 6 (number of bottles) is equal to 2.98 (unit price per bottle)

saturday:

9.33 (price) divided by 3 (number of bottles) is equal to 3.11 (unit price per bottle)

Answer:

2067in

Step-by-step explanation:

19x26= 494

13x17=221

26x26x2=1352

494+221+1352=2067

Answer:

80%

Step-by-step explanation:

How much is 32 out of 40 written as a percent value? Convert fraction (ratio) 32 / 40 Answer: 80%

Answer:

heyy i would help you but you didnt include the equation:)

Answer:

se eu não me engano é 10 graus.

Step-by-step explanation:

Answer:

So, area of quadrilateral ABCD = (½ × AC × BE) + (½ × AC × DF) We can calculate the area of different types of quadrilaterals by using the given formula. For the quadrilateral ABCD, if we use centimeter as the unit of measurement, the unit of measure for the area will be cm2 .

I hope it's helpful!

Answer:

Step-by-step explanation:

R u asking for formula ?

If so  then,

1/2 x (h1+h1 )d

which is half the sum of height 1 and 2 multipied by daigonal

Step-by-step explanation below.

24.5 - 12 = 12.5

Step-by-step explanation:

let number be X

X - 12 = 12.5

x = 12.5 + 12

x = 24.5