MATHEMATICS HIGH SCHOOL

Find the distance between each pair of points.a. √58

b. √7

c. 5

d. √5

Answers

Answer 1

Answer:

Answer:

Distance between the points (-3,1) and (1, -2),

$\sqrt{ {(1 + 3)}^(2) + {( - 2 - 1)}^(2) }$

$= \sqrt{ {(4)}^(2) + {( - 3)}^(2) }$

$= √(16 + 9) = √(25) = 5$

Option C

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Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below. x+ y= 24 3.50x + 5.00y = 97.50 Solve the system of equations. How many 10 oz. boxes were sold? a. 6
b. 9
c. 12
d. 15

Answers

we have to solve simultaneous equations.

x = 10 oz. boxes

y = 16 oz. boxes

simultaneous equations

x + y = 24 ---1)

3.50x + 5.00y = 97.50 ----2)

to solve for x we need to eliminate y, therefore we have to multiply 1st equation by 5

5x + 5y = 120 --3)

subtract 3) - 2)

5x - 3.50x = 120 - 97.50

1.50x = 22.5 x = 15

number of 10 oz. boxes are 15. answer is d.15

Answer:

d is the correct answer

Step-by-step explanation:

Mike is looking for a loan. He is willing to pay no more than an effective rate of 8.000% annually. Which, if any, of the following loans meet Mike’s criteria?Loan X: 7.815% nominal rate, compounded semiannually
Loan Y: 7.724% nominal rate, compounded monthly
Loan Z: 7.698% nominal rate, compounded weekly
a. Y only
b. X and Z
c. Y and Z
d. None of these meet Mike’s criteria.

Answers

Answer:

b. X and Z

Step-by-step explanation:

Since, the effective annual rate is,

$i_a=(1+(r)/(m))^m-1$

Where r is the nominal rate per period,

m is the number of periods in a year,

For loan X,

r = 7.815 % = 0.07815

m = 2,

Thus, the effective annual rate,

$i_a=(1+(0.07815)/(2))^2-1$

$=(1+0.039075)^2-1$

$=1.07967685563-1=0.07967685563=7.967685563\% \approx 7.968\%$

Since, 7.968\% < 8.000 %

Thus, Loan X meets his criteria.

For loan Y,

r = 7.724%= 0.07724

m = 12,

Thus, the effective annual rate,

$i_a=(1+(0.07724)/(12))^(12)-1$

$=(1.00643666667)^(12)-1$

$=1.08003395186-1=0.08003395186=8.003395186\% \approx 8.003\%$

Since, 8.003 > 8.000 %

Thus, Loan Y does not meet his criteria.

For loan Z,

r = 7.698% = 0.07698

m = 52,

Thus, the effective annual rate,

$i_a=(1+(0.07698)/(52))^(52)-1$

$=(1.00148038462)^(52)-1$

$=1.07995899887-1=07995899887=7.995899887\% \approx 7.996\%$

Since, 7.996 % < 8.000 %

Thus, Loan Zmeets his criteria.

Hence, option 'b' is correct.

Answer:

X and Z

Step-by-step explanation:

The dimensions of a large room are double the dimensions of a small room.Both rooms are rectangular prisms. The volume of the small room is 10 cubic
metres.
What is the volume of the large room?

Answers

The volume would be 80 cubic metres. Think about the three different dimensions for the small room as x,y and z. Therefore the volume is x*y*z= xyz. Now for the bigger room, the dimensions would be 2x,2y and 2z. Therefore, its volume would be 2x*2y*2z= 8xyz. Since xyz (volume of the smaller room)= 10 cubic metres, the bigger room's volume will be 8*10= 80 cubic metres.

What is the area of this triangle? And it's not 60, I already checked. PLEASE EXPLAIN!!!!

Answers

Answer:

A = 4 cm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 b*h

The base is 4 and the height is 2

A = 1/2 ( 4*2)

A = 1/2*8

A = 4 cm^2

Answer:

Step-by-step explanation:

A = BH/2

or Area = Base multiplied by Hieght divided by 2.

(b)4 x (h)2 = 8

8/2 = 4

What's the conversion factor used to convert miles to yards

Answers

The required, formula for converting miles to yards: yards = miles x 1760.

The conversion factor used to convert miles to yards is 1760. This means that 1 mile is equal to 1760 yards.

To convert from miles to yards, simply multiply the length in miles by 1760. For example, 5 miles is equal to 8800 yards (5 x 1760 = 8800).

Here is the formula for converting miles to yards:

yards = miles x 1760

Here are some examples of converting miles to yards:

1 mile = 1760 yards

2 miles = 3520 yards

3 miles = 5280 yards

4 miles = 6960 yards

5 miles = 8800 yards

Learn more about conversion factors here:

brainly.com/question/30567263

#SPJ6

use this conversion factor
1mile=1760 yards

Please help if you can!! I would appreciate it alot!People attending a baseball game either supported the home team or the visiting team. If 1144 of the people attending supported the home team and 1456 supported the visiting team, what percentage supported the home team?