On Friday 40% of the customers who bought groceries at a H.E.B. Also bought a bag of ice. There were 160 customers who bought groceries. How many of these 160 customers bought a bag of ice?

Answer:

m∠ADC = 132°

Step-by-step explanation:

From the figure attached,

By applying sine rule in ΔABD,

[tex]\frac{\text{sin}(\angle ABD)}{\text{AD}}=\frac{\text{sin}(\angle ADB)}{AB}[/tex]

[tex]\frac{\text{sin}(120)}{35}=\frac{\text{sin}(\angle ADB)}{30}[/tex]

sin(∠ADB) = [tex]\frac{30\text{sin}(120)}{35}[/tex]

                 = 0.74231

m∠ADB = [tex]\text{sin}^{-1}(0.74231)[/tex]

             = 47.92°

             ≈ 48°

m∠ADC + m∠ADB = 180° [Linear pair of angles]

m∠ADC + 48° = 180°

m∠ADC = 180° - 48°

m∠ADC = 132°

Answer:

240 metres per minute

Step-by-step explanation:

1500 / 6.25 = 240

Answer:

512 cm^3

Step-by-step explanation:

side of the cube = 8cm

volume=8*8*8=512cm ^3

Answer: (5,11)

Step-by-step explanation:

Answer:

k = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The equation of proportionality is

y = kx ← k is the constant of proportionality

To find k use any coordinate point lying on the graph

Using (12, 6 ), then

6 = 12k ( divide both sides by 12 )

k = [tex]\frac{6}{12}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

4800 ft²

Step-by-step explanation:

Given that :

Area of cabin = 800 ft²

Width of cabin = 20 feets

Side yard setback of building = 20 feets

Depth of lot = 80 feets

The cabin is a rectangle :

Area of rectangle = Length * Width

800 = length * 20

Length = 800 / 20 = 40 feets

Hence,

Width of lot = side yard + Width of cabin = (20 + 20) = 40 feets

Length of lot = depth +. Length of cabin = (80 + 40) = 120 feets

Area of lot = Length of lot * width of lot

Area of lot = 120 ft * 40 ft = 4800 ft²

Answer:

$12.31

Step-by-step explanation:

11.62 divided by 2 =0.69

$11.62+$0.69=12.31

Answer:

B.)Kerrie's equation is correct because their spending will be multiplied by the number of months and then subtracted from their savings                

Step-by-step explanation:

Given :  Jacob and kerrie are trying to figure out how long they can live off their 84,670 savings if they spend 370 each month.

To Find: Which person has the correct equation to model this linear relationship?

Jacob's equation : y = 84,670+(370x).

Kerrie's equation : y=84,670-(370x).

Since they have 84670 in savings

They spend each month = 370

They spend in x months = 370x

So, spending this amount from saving they left with amount = 84,670-(370x)

Thus Kerrie's equation is correct .

Hence Option B is correct  

B.)Kerrie's equation is correct because their spending will be multiplied by the number of months and then subtracted from their savings

hi remember me this is your answer :0

Answer:

the answer is B

Step-by-step explanation:

Answer:

64 cars

Step-by-step explanation:

because he is multipling by 2

Monday 4

Tuesday 8

Wensday 16

Thursday 32

Friday 64

Answer: On Friday the toy store would have sold 256 race cars.

Step-by-step explanation: The pattern is x2 each number.

M: 4

T: 8

W: 16

T: 32

W: 64

TH: 128

F: 256

Answer:

5

Step-by-step explanation:

Answer:

x = 47°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the given angles from 180 for x

x = 180° - (31 + 102)° = 180° - 133° = 47°

Answer:

x < 1

Step-by-step explanation:

This is the answer because:

1) 11 + 2 = 13 and 13 is not less than 13, it is equal to 13. Therefore, x has to equal anything less than 1 because then only inequality statement will be true.

Therefore, the answer is x < 1.

Hope this helps! :D

The value of x that makes 11 + 2x < 13 is x < 1

Given:

11 + 2x < 13

< means less than

11 + 2x < 13

11 + 2x - 11 < 13 - 11

2x < 2

x < 2/2

x < 1

x less than 1

Therefore, the value of x that makes 11 + 2x < 13 is x < 1

Learn more about inequality:

https://brainly.com/question/18881247

Answer:

p = 61 degrees

Step-by-step explanation:

The sum of all angles that make up a striaght line is 180 degrees. To find p you just subtract the other angles from 180: 180 - 87 - 32 = 61.

Answer:

The answer to your equation would be 1.5.

Step-by-step explanation:

The common ratio if there exists one can be found by choosing a term and dividing by its previous term

So does 12/8=18/12=27/18? Put each into the calculator. If they are equal fractions then this sequence is geometric and has a common ratio.

Each of the fractions are equal to 1.5.

Therefore the commom ratio is 1.5.

Answer:

okay but it is a LOOP loop Left to a more important point is that the answer to this area is to be randomly in the project

Step-by-step explanation:

point

Answer:

c

Step-by-step explanation:

0.25 is the amount of rain that is falling, so that is the slope (0.25t)

2 is the y-int because it is the starting point. It was already there (+2)

so the equation is; 0.25t+2

Answer:

Step-by-step explanation:

K=26

Answer:20

Step-by-step explanation:

Answer:

if nth term of the AP 3,10,17.... is same as the nth term of the AP 63,65,67.... find n.

Step-by-step explanation:

please solve this also it's hard for me

Step-by-step explanation:

We can make 2 equations as follows:

2x = y + 16 and x + 2y = 18

x + 2y = 18 is the same as x = 18 - 2y. Hence, 2(18 - 2y) = 2x = y + 16.

2(18 - 2y) = y + 16

36 - 4y = y + 16

5y = 20

y = 4.

Answer:

603 miles in 3 days

Step-by-step explanation:

Let's find out how many miles in 1 day:

Let's find out how many miles in 3 days:

I hope this helps!

Answer:

a) 10% off or $20 off

b) 25% off or $124.99 off

Step-by-step explanation:

In order to find the markdown on the shredder we simply need to divide the sale price by the original price. Once we have that we subtract that decimal from 1 and multiply by 100 to get the markdown percentage. We can also subtract the original price from the sales price to get the markdown dollar value.

179.99 / 199.99 = 0.899

(1 - 0.899) * 100 = 10%

199.99 - 179.99 = $20

Now, for the printer we are provided the markdown perentage so to find the markdown dollar value we need to divide the perentage by 100 to turn it into a decimal and multiply that decimal by the regular price of the printer. We can also subtract the markdown dollar value from the original price to get the sale price...

25% / 100 = 0.25

0.25 * 499.99 = 124.99

499.99 - 124.99 = $375

Answer:

b

Step-by-step explanation:

Answer:

2 solutions

Step-by-step explanation:

in most cases, linear equations have two solutions depending on which unlike terms you decided to simplify first

Answer:

p x 0.79 = 7.90 or 0.79 x p =7.90

Answer: x=36 degrees

Step-by-step explanation:

Angle EAF and FAB must equal 180 degrees together as all straight lines do. 36 times 3= 108 degrees so 3x=108 degrees. 36 times 2= 72 degrees so 2x=72 degrees. Therefore, 3x+2x=180 degrees.

Answer: c

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

Answer:8.5...

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

Pls mark me brainliest! :D

Answer:It is 0.4 or 2/5

Step-by-step explanation:

Hope this helps!!

Answer:

so this uses proportions.

you need to find the side BF which is proportional to the side BF.

You do:

9/6=x/42

and cross multiply

9*42=6*x

378=6x

divide by 6 on both sides

x=63

the answer is 63

Answer:

These are similar triangles.

By changing the length of the base of the corresponding triangle, the 3 interior angles of this triangle remain equal to the original

Therefore, if these triangles are similar, their corresponding sides must give equal ratios to each other:

This means that BF/FE = BC/CD=FC/ED

The total length of line segment BD=BC+CD; BC=6, CD=42; BD=6+42, BD=48

BE=BF+FE; BE=9+?

if BF/FE=BC/CD then 9/BE=6/42; 6/42=3/21 or 1/7. 9/BE=1/7; 1/7=9/BE

1x9=9, 7x9=63

63=BE

Step-by-step explanation: