MATHEMATICS
COLLEGE

Answer: The population of the town would be 6450.

HIGH SCHOOL

Given the equations 9x+3/4y=6 and 2x+1/2y=9, by what factor the equation to eliminate y and solve the system through linea would you multiply the second equation to eliminate y and solve the system through linear combinations? Options;

A.) -4/3

B.) -3/4

C.) -3/2

D.) -7/2

Answer:

C is correct.

Step-by-step explanation:

Given: System of equation

We have to solve system of equation by eliminating y

So, first we will make the coefficient of y same with opposite sign.

Coefficient of y in first equation 3/4

Coefficient of y in 2nd equation 1/2

Multiply second equation by -3/2 to make coefficient of y same

Add both equation and eliminate y

Hence, We multiply by -3/2 to eliminate y and solve the system of equation.

C -3/2

Just multiply the second equation by -3/2

this will make the y term = -3/4y

so adding will eliminate the y terms.

Just multiply the second equation by -3/2

this will make the y term = -3/4y

so adding will eliminate the y terms.

HIGH SCHOOL

Gamal is buying ham and turkey to make sandwiches for a party. At most, he can spend $50, and he must buy more than 8 pounds of meat to make enough sandwiches. The ham costs $6 per pound, and the turkey costs $7 per pound. He writes the system of inequalities shown to model h, the number of pounds of ham, and t, the number of pounds of turkey, he can buy.

H +t = 8

$6h + $7t ≤$50

h+t = 8

h +t-t=8-t

h= 8-t

$6(8-t) + $7t ≤$50

48-6t +7t≤50

48-48+t≤50-48

t ≤ 2

h=6

$6(6) + $7(2) ≤$50

36 + 14 ≤ 50

50≤50

He can buy 6 pounds of ham and 2 pounds of turkey

$6h + $7t ≤$50

h+t = 8

h +t-t=8-t

h= 8-t

$6(8-t) + $7t ≤$50

48-6t +7t≤50

48-48+t≤50-48

t ≤ 2

h=6

$6(6) + $7(2) ≤$50

36 + 14 ≤ 50

50≤50

He can buy 6 pounds of ham and 2 pounds of turkey

Answer:

Option A, should be less than or equal to 8

Step-by-step explanation:

Due to the factors on the previous answer, t is less than our equal to 2, and h is 6. Commo sense

HIGH SCHOOL

If x and y are integers, and 3x + 2y = 13, which of the following could be the value of y ? A. 0

B. 1

C. 2

D. 3

E. 4

They are all integers so...

first lets substitute

A.3x=13

X=13/3

b.3x+2=13

3x=11

x=11/3

c.3x+4=13

3x=9

x=3

d.3x+6=13

3x=7

x=7/3

E.3x+8=13

3x=5

x=5/3

therefore the possible is letter c because it must be an integer and the definition of integer states that it is not a decimal nor a fraction

first lets substitute

A.3x=13

X=13/3

b.3x+2=13

3x=11

x=11/3

c.3x+4=13

3x=9

x=3

d.3x+6=13

3x=7

x=7/3

E.3x+8=13

3x=5

x=5/3

therefore the possible is letter c because it must be an integer and the definition of integer states that it is not a decimal nor a fraction

C. 2

Because

3x+2(2)=13

3x+4=13

3x=9

x=3

None of the other solutions work out so that both x and y are integers.

Because

3x+2(2)=13

3x+4=13

3x=9

x=3

None of the other solutions work out so that both x and y are integers.

HIGH SCHOOL

What is 8-(b-2)=11 in a equation solve for b?

8-(b-2)=11

8-b+2=11 (expand brackets)

-b+10=11 (8+2=10, gather like terms)

-b=1 (subtract 10 to both sides)

b=-1 (divide by -1 to both sides)

8-b+2=11 (expand brackets)

-b+10=11 (8+2=10, gather like terms)

-b=1 (subtract 10 to both sides)

b=-1 (divide by -1 to both sides)

HIGH SCHOOL

Are there 5 hundreths in the number 0.305

No, there are 3 tenths, 0 hundredths, and 5 thousandths

MIDDLE SCHOOL

A baseball pitcher has pitched 12 2/3 innings

Right something on paper ;)

If he pitched that much he should ice his arm FYI I should know I play softballe

HIGH SCHOOL

1. Determine which ratio forms a proportion with 9/5 by finding a common multiplier. a. 54/30 b. 45/50 c. 45/40 d. 90/20 2. Determine which ratio forms a proportion with 15/8 by using cross products.

a. 25/16 b. 30/12 c. 60/32 d. 75/32 3. Solve 3/27 = w/54 a. 2 b. 6 c. 9 d. 18 4. In a survey, 3 out of 10 people names blue as their favorite color. 1 out of 5 named red. If 1,200 people were included in the survey, how many named blue or red as their favorite color?

a. 700 people b. 800 people c. 600 people d. 400 people 5.Solve the proportion using cross products. Round to the nearest hundredth if necessary.

12 miles/27 hours = 4 miles/ h hours a. 28 b. 12 c. 9 d. 18 6. LA is about 385 miles from San F. How far apart would the cities be on the map with a scale of 1 inch = 15 miles. If necessary, round to the nearest hundredth.

a. 26.33 in. b. 25.67 in. c. 24.33 in. d. 27.50 in

1. Determine which ratio forms a proportion with 9/5 by finding a common multiplier.

9/5 x (6/6) = 54/30

a. 54/30

2. Determine which ratio forms a proportion with 15/8 by using cross products.

60/32 / (4/4) = 15/8

c. 60/32

4. In a survey, 3 out of 10 people names blue as their favorite color. 1 out of 5 named red. If 1,200 people were included in the survey, how many named blue or red as their favorite color?

a. 700 people

5.Solve the proportion using cross products. Round to the nearest hundredth if necessary.

385 miles (1 inch / 15 miles) = 25.67 in

b. 25.67 in

9/5 x (6/6) = 54/30

a. 54/30

2. Determine which ratio forms a proportion with 15/8 by using cross products.

60/32 / (4/4) = 15/8

c. 60/32

4. In a survey, 3 out of 10 people names blue as their favorite color. 1 out of 5 named red. If 1,200 people were included in the survey, how many named blue or red as their favorite color?

a. 700 people

5.Solve the proportion using cross products. Round to the nearest hundredth if necessary.

385 miles (1 inch / 15 miles) = 25.67 in

b. 25.67 in

HIGH SCHOOL

I needs help

What is w(16) given w(j)=|j-24|+19

w(16 ) = 27

substitute j = 16 into the expression

w(16 ) =| 16 - 24 | + 19 = | - 8 | + 19 = 8 + 19 = 27

HIGH SCHOOL

Find the numerical value of cosh (ln5)

Cosh (In 5) = 1/2(e^(-ln 5) + e^(ln 5)) = 1/2(1/5 + 5) = 1/2(26/5) = 13/5 =2.6