A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 150 nails and each large box has 450 nails. The contractor bought twice as many large boxes as small boxes, which altogether had 4200 nails. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.

Answer:

I = Prt

Interest = Principal x rate x time

Step-by-step explanation:

1890 = 7000(3)r

1890 = 21000r

r = 1890/21000

r = .09 or 9%

Answer:

25%

Step-by-step explanation:

The proportion of salt in the mixture is 1:3; which means that for every portion of solution, salt makes up 1 part for every 3 parts of pure water.

Thus, salt makes up 1 part  of every 1+3=4 portions of solution, or 25% ....................

Answer:

25 percent, because 1/4 is 0.25

Answer:

880,000

I hope this helps!

Answer:

880,000

Step-by-step explanation:

10000 x 88 = 880000

When multiplying by anything with zero's, without decimals. You will multiply your two numbers (other than 0) by each other, then add however many zero's there are total to the end.

Answer:

a: the points graphed would be: (5,4), (3,5), (2,3), (3,6), (1,1)

b: the domain is: 5, 3, 2, 3, 1 and the range is: 4, 5, 3, 6, 1

c: the relation is not a function because some of the x-values are repeated

Step-by-step explanation:

Answer:

The volume of the aquarium is 195 litres.

Step-by-step explanation:

The volume ([tex]V[/tex]), measured in cubic centimetres, of the aquarium is equal to the area of the base multiplied by the height. That is:

[tex]V = \frac{1}{2}\cdot (L+l)\cdot w\cdot h[/tex] (1)

Where:

[tex]L[/tex] - Long leg length of the aquarium, measured in centimetres.

[tex]l[/tex] - Short leg length of the aquarium, measured in centimetres.

[tex]w[/tex] - Width of the aquarium, measured in centimetres.

[tex]h[/tex] - Height of the aquarium, measured in centimetres.

If we know that [tex]L = 80\,cm[/tex], [tex]l = 50\,cm[/tex], [tex]w = 30\,cm[/tex] and [tex]h = 100\,cm[/tex], then the volume of the aquarium is:

[tex]V = \frac{1}{2}\cdot (80\,cm+50\,cm)\cdot (30\,cm)\cdot (100\,cm)[/tex]

[tex]V = 195000\,cm^{3}[/tex]

If we know that a litre equals 195000 cubic centimetres, then the volume of the aquarium is:

[tex]V = 195000\,cm^{3}\times \frac{1\,L}{1000\,cm^{3}}[/tex]

[tex]V = 195\,L[/tex]

The volume of the aquarium is 195 litres.

Answer: Look below for the answers

Step-by-step explanation:

unit rates...

MOVIE TICKETS

$36/3=12

$12 for each ticket so

ICE CREAM CONES

$8.25/3=$2.75

$2.75 for each cone so

2 icecream cones cost $5.5

BANANAS

.99/3=.33

.33 for each banana so

.33*5=$1.65

Answer:

2 4/15 km

Step-by-step explanation:

We know from the above question that:

A hiker walks at a speed of 3 2/5 km per hour.

Step 1

Convert 40 minutes to hour

60 minutes = 1 hour

40 minutes = x

Cross Multiply

60x = 40

x = 40/60

x = 2/3hr

Step 2

How many km will the hiker walk in 40 min?

The above question can be calculated as:

1 hour = 3 2/5km

2/3 hour = x km

Cross Multiply

1 × x km = 2/3 × 3 2/5 km

x km = 2/3 × 17/5 km

x km = 34/15 km

x km = 2 4/15 km

Hence the hiker would walk 2 4/15 km in 4 minutes

Answer:i ate cookies

Step-by-step explanation:

Step-by-step explanation:

There are 41 cards were in each card album.

Answer:

We conclude that Neither A nor B represents the function.

Hence, the correct option is:

Step-by-step explanation:

A function relates an input to an output.

For example, a certain animal grows 30 cm each year. Thus, the height of the animal is associated with its age using the function

h (age) = age × 30

Therefore, if the age of the animal is 3 years, the height is:

h(3) = 3 × 10 = 90 cm

Set A

A = {(1, −5), (8, −5), (8, 7), (2, 9)}

Please check that there are duplicated inputs.

i.e. x = 8 is appeared twice.

Thus, set A does not represent the function because the function has repeated inputs or x-values. In other words, each input is not related to exactly one output.

Therefore, the set A of ordered pairs does not represent a function.

Set B

B = {(7, −4), (7, −2), (6, −3), (−9, 5)}

Please check that there are duplicated inputs.

i.e. x = 7 is appeared twice.

Thus, the set B does not represent the function because the function has repeated inputs or x-values. In other words, each input is not related to exactly one output.

Therefore, the set B of ordered pairs also does not represent a function.

Conclusion:

We conclude that Neither A nor B represents the function.

Hence, the correct option is:

Answer:

VUT- FEG

QRS-QGF

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

y=mx + b, slope = m.

Answer:

if the cost on gas is 1.64 you can divide 23.78 by 1.64 which is 14.5

Step-by-step explanation:

23.78 divided by 1.64 =14.5

Answer:

14.45

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

Answer:

its d

Step-by-step explanation:

9514 1404 393

Answer:

  ASA, SAS, SSS, SAS, ASA

Step-by-step explanation:

In order of attachments, left to right:

1) ASA . . . . the bisected angles are on either end of the common segment. ∆ABC ≅ ∆ADC

__

2) SAS . . . . the vertical angle lies between the sides congruent by virtue of the midpoint being X. ∆RSX ≅ ∆PQX

__

3) SSS . . . . two sides and the shared segment are congruent. ∆KLM ≅ ∆KGM

__

4) SAS . . . . the parts of the bisected angle lie between the congruent sides and the common side. ∆WXZ ≅ ∆YXZ

__

5) ASA . . . . the common segment lies between parts of a bisected angle and ones that are given as congruent. ∆PQR ≅ ∆SQR

Answer: She put 14 hours and 45 minutes into studying.

Step-by-step explanation:  2 1/2 hours plus 4 1/2 hours is 7 hours. Plus 3 is 10 hours. Plus 4 3/4 is 14 3/4 hours. 14 3/4 hours is = to 14 hours 45 minutes studying.

Answer:

A. 82

hope it helps....

Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.

So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 530 dollars.

The solution would still clear your concept though.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

c(x) = 18x -10

The slope-intercept form of the line equation

We know that the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

so

 c(x) = 18x - 10

comparing with the slope-intercept form of the line equation

Assuming the total cost i.e. c(x) = $530

In order to determine the value of x, set c(x) = 530

i.e.

530 = 18x -10

switch sides

18x - 10 = 530

add 10 to both sides

18x - 10 + 10 = 530 + 10

18x = 540

Divide 18 to both sides

18x/18 = 540/18

x = 30

Therefore, if you can buy x = 30 tickets if you pay 530 dollars.

Answer:

407/125

Step-by-step explanation:

3.256=3256/1000

814/500

407/125

Step-by-step explanation:

9514 1404 393

Answer:

4) y = x + 3

   y = -2x + 5

Step-by-step explanation:

Set each side of the equal sign equal to y.

Left side:

  y = x + 3

Right side:

  y = -2x +5

Answer:

y=2x+10

Step-by-step explanation:

y is the height x is the number of years

It takes 9 years for it to reach 28ft

Answer: ₹400

Step-by-step explanation:

The interest is 10% of ₹20,000 which is;

= 10% * 20,000

= ₹2,000

It is to be awarded to 5 scholarships of equal value. Each scholarship is there valued at;

= 2,000/5

= ₹400

Answer:

It will take 12years to triple itself

Step-by-step explanation:

let the sum of money=x

In 8years x becomes 2x

thus

2x-8years

Then 3x-?

Using ratio and proportion,

x=3/2×8years=12years

Answer:

Options A, C and D

Step-by-step explanation:

Option A

Angle p = 180° - 89.5° = 90.5° [Linear pair of angles]

If b║f and line a is a transversal line,

m∠p = 90.5° [Alternate exterior angles]

True

Option B

If B║D and line a is a transversal,

m∠q = 89.5° [vertically opposite angles]

∠q + 89.5° = 89.5° + 89.5° = 179°

But angles q and angle with measure 89.5° are the consecutive interior angles and their sum should be 180°.

So the given statement is False.

Option C

c║e

Since, m∠r = 91.5° [Vertically opposite angle]

And m∠r + 89.5° = 180° [Consecutive interior angles]

True.

Option D

c║d

Since, ∠r and ∠q are consecutive interior angles,

m∠r + m∠q = 180°

91.5° + 89.5° = 180°

True

Option E.

d║f

m∠s = 90.5°[Vertically opposite angles]

Since, ∠s and angle with measure 89.5° are the alternate interior angles,

So measure of angle s should be 89.5°.

Therefore, d║f is False.

Option F.

If e║f, angles with measures 89.5° and 90.5° should be equal.

But measures of both are different.

Therefore, e║f is False.

Options A, C and D are the correct options.

Answer:A ..

Step-by-step explanation:

Answer:

cuz of the 3\4 and the 1\2

Step-by-step explanation: