Karen is working on her math homework. She solves the equation

Hailey paid \$13$13dollar sign, 13 for 1\dfrac3{7} \text{ kg}1 7 3 kg1, start fraction, 3, divided by, 7, end fraction, start

LenKa [72]

Answer:

The cost of per kilogram of salami is = $9.1

Step-by-step explanation:

Given:

Hailey paid $13 for $1\frac{3}{7}$ kg of sliced salami.

To find cost per kilogram of salami.

Solution:

We will apply unitary method to find per kilogram cost of salami.

If $1\frac{3}{7}$ kg of salami costs = $13

Then 1 kg of salami will cost in dollars will be = $13\div 1\frac{3}{7}$

In order to divide by mixed numbers, we will convert mixed numbers to fractions.

⇒ $13\div \frac{(7\times1)+3}{7}$

⇒ $13\div \frac{10}{7}$

In order to divide by fractions we will take reciprocal of divisor and then multiply.

⇒ $13\times \frac{7}{10}$

⇒ $\frac{13\times7}{10}$

⇒ $\frac{91}{10}$

⇒ $9.1$

Thus, cost of per kilogram of salami is = $9.1

3 0

2 years ago

Read 2 more answers

The sum of Jim's weight and Bob's weight is 180 pounds. If you subtract Jim's weight from Bob's weight, you get half of Bob's we

Furkat [3]

Answer:

120 pounds

Step-by-step explanation:

We can use systems of equations to solve this problem. Assuming j is Jim's weight and b is Bob's weight, the equations are:

j + b = 180

b - j = 1/2b

Let's get b - j = 1/2b into standard form (b, then j, then the equal sign, then the constant.)

$b - j = \frac{b}{2}\\\frac{b}{2} - j = 0$

Now we can solve using the process of elimination.

$b + j = 180\\\\\frac{b}{2} - j = 0\\\\b + \frac{b}{2} = 180\\\\b + b \cdot 2 = 180\cdot 2\\3b = 360\\b = 120$

Now we know how much Bob weighs, for fun, let's find Jim's weight by substituting into the equation.

$120 + j = 180\\j = 180-120\\j = 60$

So Bob weighs 120 pounds and Jim weight 60 pounds.

Hope this helped!

4 0

2 years ago

Read 2 more answers

abruzzese [7]

Answer:

Sammy charges less by $3.75

Step-by-step explanation:

givens

-Sammy: 21.75 for 3 hrs

-y=8x for Claire

-5 hours, and who charges less?

21.75/3

$7.25/hr

y=8(5)

y=$40

y=7.25(5)

y=$36.25

40-36.25

$3.75

5 0

2 years ago

Read 2 more answers

A freshwater stream flows into the ocean, as shown in the diagram. Which statement correctly describes how the stream affects th

gizmo_the_mogwai [7]

I can't see any diagram but the correct statement should be:
"Salinity decreases because the stream adds freshwater to the ocean"

The other statements are false.
F Salinity increases because the stream adds salt to the ocean
T Salinity decreases because the stream adds freshwater to the ocean
F Salinity increases because the stream adds freshwater to the ocean
F Salinity remains the same because the steam adds freshwater to the ocean

8 0

1 year ago

The human resource department at a certain company wants to conduct a survey regarding worker benefits. The department has an al

dezoksy [38]

Answer:

Step-by-step explanation:

Hello!

A systematic sample is a sampling type where, the population units are listed in a certain order, the first unit is randomly chosen from the first k number of units and then the subsequent units are selected in intervals of k. To calculate k, in case you know the population size, you have to divide the population size by the sample size (usually established based on previous information. Remember k is always a whole number.

a) k= pob/n= 4247/40= 106.175 ≅ 106

b) From the 106 individuals you have to randomly select the first unit. Then starting from it the next 39 individuals surveyed will be the +k

Using a random number calculator I've chosen the first individual to be surveyed as number 57 after that you have to add k= 106 to know wich are the next individuals to be sampled:

1) 57 11) 1117 21) 2177 31) 3237

2) 57 + 106= 163 12) 1223 22) 2283 32) 3343

3) 269 13) 1329 23) 2389 33) 3449

4) 375 14) 1435 24) 2495 34) 3555

5) 481 15) 1541 25) 2601 35) 3661

6) 587 16) 1647 26) 2707 36) 3767

7) 693 17) 1753 27) 2813 37) 3873

8) 799 18) 1859 28) 2919 38) 3979

9) 905 19) 1965 29) 3025 39) 4085

10) 1011 20) 2071 30) 3131 40) 4191

I hope it helps!

3 0

2 years ago