The Denver Post reported that, on average, a large shopping center had an incident of shoplifting caught by security 2.3 times every four hours. The shopping center is open from 10 a.m. to 9 p.m. (11 hours). Let r be the number of shoplifting incident caught by security in an 11 -hour period during which the center is open.

Answer:

distributive property

Step-by-step explanation:

have a great day

Answer:

: 5x + 4(3 + 2x)

: 5x + 12 + 8x

: 5x + 8x + 12

: 13x + 12 Distributive Property

Answer:

120.4ft

Step-by-step explanation:

Find the diagram in the attachment.

The triangle shown is a right angled triangle with the side DE as the hypotenuse, EF is adjacent side while DF is the opposite side.

To get DE, we will use the SOH CAH TOA trigonometry identity

Using CAH which is defined as:

Cos(theta) = Adjacent/Hypotenuse

Cos 79°= 23/Hypotenuse

Hypotenuse = 23/cos79°

Hypotenuse = 23/0.191

Hypotenuse = 120.4feet

DE = 120.4feet (to nearest tenth)

Answer:

x=2

Step-by-step explanation:

1*x+30=6x+20

Multiply 1*x=x

x+30=6x+20

Subtract 30 from both sides:

x+30-30=6x+20-30

Simplify:

x=6x-10

Subtract 6x from both sides

x-6x=6x-10-6x

Simplify:

-5x=-10

Divide both sides by -5

-5x/5=-10/-5

Answer:x=2

Answer:

80:100x15= 0,8 x15=12

Pls mark as brainliest

Answer:

I think it is 12 , 15 % of 80 should be 12

plz mark my aa brainliest also

Answer:

2u+3-7/u

Step-by-step explanation:

factor the numerator and denominator and cancel the common favtors

Answer:

a

Step-by-step explanation:

all angles in a triangle is equal to 180 so

60+50=110 so p =70

80+30=110 so q =70

p=q

Answer:

p=q

Step-by-step explanation:

Answer:

168 hours

Step-by-step explanation:

Answer: 7/12

Step-by-step explanation:

1/3 + 1/4

1/3 = 4/4 * 1/3 = 4/12

1/4 = 3/3 * 1/4 = 3/12

4/12 + 3/12 = 7/12

Answer:

Step-by-step explanation:

2x + 3x + 8 - 3x - 2 = 2x + 6

The first and third expressions.

Answer:

1 and 3

Step-by-step explanation:

This should be correct

Answer:

x=7

Step-by-step explanation:

You

Have

X-ray

Vision

YhXr

Answer:

[tex]\displaystyle \frac{2(x + 3)}{5x - 2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{2x^2 + 16x + 30}{5x^2 + 13x - 6}[/tex]

Step 2: Simplify

Answer:

Length of ladder (hypotenuse) = 13 ft

Step-by-step explanation:

Given:

Length of base (base) = 5 ft

Length of ladder (hypotenuse) = a

Distance between ground and ladder top (perpendicular) = a - 1

Find:

Length of ladder

Computation:

a² = 5² + (a-1)²

a² = 25 + a² - 2a + 1

2a = 26

Length of ladder (hypotenuse) = 13 ft

Answer:

7.5 cubic yards

Step-by-step explanation:

3* 5/2= 15/2= 7.5 cubic yards

if my answer helps please mark as brainliest.

Graph is on the picture.

hope ot helps.

Answer:

30

Step-by-step explanation:

perimeter = side 1+side 2

12+18=30

Answer:

60 cm

Step-by-step explanation:

= (12 x 2) + (18 x 2)

= 24 + 36

= 60

Answer:

The answer is C. 6.07 × 10^-4

Answer:

each team has 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Substitute values and solve for r the equation of the time difference:

Raul's speed is 17 mph

Answer:

[tex] \huge \boxed{ \boxed{ \red{ \tt17 \: mph}}}[/tex]

Step-by-step explanation:

let's the speed of Raul be x

likewise

Miguel can drive 4 times as fast as Raul can ride his bicycle

therefore

4x

according to the question

[tex] \sf \frac{68}{4x}+3=\frac{68}{x}[/tex]

[tex] \implies \sf \frac{68 + 12x}{4x} = \frac{68}{x} [/tex]

[tex] \sf factor \: out \: 4 \: and \: reduce \: it : \\ \sf \implies \frac{4(17 + 3x)}{4x} = \frac{68}{x} \\ \\ \implies\sf \frac{17 + 3x}{x} = \frac{68}{x}[/tex]

[tex] \sf multipy \: both \: sides \: by \: x : \\ \sf \implies (\frac{17 +3 x}{x} )x = (\frac{68}{x} )x \\ \implies \sf 17 + 3x = 68[/tex]

[tex] \sf cancel \: 17 \: from \: both \: sides : \\ \implies \sf 17 - 17 + 3x = 68 - 17 \\ \implies \sf 3x = 51[/tex]

[tex] \sf divide \: both \: side s \: by \: 3 : \\ \sf \implies \frac{3x}{3} = \frac{51}{3} \\ \therefore x = 17[/tex]

Answer:

3√41

Step-by-step explanation:

The diagonal can be gotten using the pythagoras theorem

d² = l²+w²

d² = 12²+15²

d² = 144 + 225

d² = 369

d = √9*41

d = 3√41

Hence the diagonal is 3√41

Answer:

Answer B

Step-by-step explanation:

Write out f(x) and g(x) in a column; we will subtract g(x) from f(x):

f(x) = x^2  - 9          or f(x)   =   x^2           - 9

-g(x) = -(2 - x)          or -g(x) =           +x      -2

                                    ---------------------------------

                                      f(x) - g(x) = x^2 + x - 11   (Answer B)

Answer:

57.5

Step-by-step explanation:

Recognize our numbers

3,5,34.50

Three uniform shirts sell for 34.50

34.50/3

=11.5

How much will five cost?

5x11.5

=57.5

Hope this helps!

Answer:

55.25

Step-by-step explanation:

1. First we need to work out the price of ONE shirt. To do that we divide the total price of 3 shirts by 3.

34.50 / 3 = 11.05

2. Now we know that the price of one shirt is $11.05p we can multiply that by 5 to get the price of 5 shirts.

11.05 * 5 = 55.25

= $55.25p

Answer:

Its 5000

Step-by-step explanation 4883-3455=5000

Answer:

0

Step-by-step explanation:

The given expression is :

[tex]8.29 \times \frac{ - 5.62 + 5.62}{5.62}[/tex]

We can solve the expression as follows :

[tex]\frac{ - 5.62 + 5.62}{5.62}=\dfrac{0}{5.62}[/tex] (As -5.62+5.62 equals to 0)

Any number multipled to 0 gives 0.

Hence, the value of the given expression is equal to 0.

Answer:

In this question (t½) of C-14 is 5730 years, which means that after 5730 years half of the sample would have decayed and half would be left as it is. After 5730 years ( first half life) 70 /2 = 35 mg decays and 35 g remains left. After another 5730 years ( two half lives or 11460 years) 35 /2 = 17.5mg decays and 17.5 g remains left . After another 5730 years ( three half lives or 17190 years) 17.5 /2 = 8.75mg decays and 8.75g remains left. after three half lives or 17190 years, 8.75 g of C-14 will be left.

Step-by-step explanation:

Answer:

$1,116.19.

Step-by-step explanation:

Given that artificial grass sells for $ 10.98 per square yard, to determine the final cost to buy and install 69.2 square yards if the seller charges $ 5.15 per square yard for labor, round to the nearest cent, the following calculation must be performed:

69.2 x (10.98 + 5.15) = X

69.2 x 16.13 = X

1,116,196 = X

Thus, the cost to purchase and install 69.2 square yards of artificial grass is $ 1,116.19.

Answer:

75%

Step-by-step explanation:

There are 136 people on a train

34 are children

Therefore the percentage of people that are adults can be calculated as follows

= 136-34

= 102

= 102/136 × 100

= 0.75 × 100

= 75%

Hence 75% are adults