Nick spent 34 minutes on the phone while routing 17 phone calls. In all, how many phone calls does Nick have to route to spend a total of 50 minutes on the phone? Assume the relationship is directly proportional.

Answer:

23 m and 15 m

Step-by-step explanation:

THE BASE OF A RECTANGLE IS 8 M GREATER THAN THE HEIGHT, THE AREA MEASURES 65 SQUARE METERS HOW MUCH DO THE BASE AND HEIGHT MEASURE?

Let the height of the rectangle is h.

Base = 8+h

Area of the rectangle, A = 65 m²

We need to find the base and height of the rectangle. The area of a rectangle is given by :

A = bh

So,

[tex]65=(8+h)\times h\\\\65=8h+h^2\\\\h^2+8h-65=0\\\\(h-5)(h+13)=0\\\\h=5\ m\ \text{and}\ x=-13\ m[/tex]

Neglecting negative value, h = 15 m

Base  = 8+15 = 23 m

So, the base and height of the rectangle is 23 m and 15 m respectively.

I think this is the solution. I don't think you are supposed to use PEMDAS.

Answer:

w = 98

n = 6

a = 18

Step-by-step explanation:

Question 1)

7 = w/ 14

All you need to do is multiply each side by 14 to find w:

7(14) = W

W = 98

Question 2)

42/n = 7

For this one, first multiply each side by "n":

42 = 7n

and then divide both sides by 7:

N = 6

Question 3)

All you need to do for this question is divide 324 by 18 to find "a":

324/18 = a

a = 18

I hope this helps!

-TheBusinessMan

Answer:

Amount invested at 8% rate of interest = $11000

Amount invested at 9% rate of interest = $9000

Step-by-step explanation:

Let Amy invested amount in a account with 8% simple interest = $a

Then the interest gained after one year = [tex]\frac{\text{Principal amount}\times \text{Rate of interest}\times \text{Time}}{100}[/tex]

                                                                  = [tex]\frac{a\times 8\times 1}{100}[/tex]

                                                                  = 0.08a

Remaining amount for the investment = $(20000 - a)

Interest earned after one year with rate of interest 9%

= [tex]\frac{(20000-a)\times 9\times 1}{100}[/tex]

= $(1800 - 0.09a)

Total interest earned after 1 year = $1690

0.08a + (1800 - 0.09a) = 1690

1800 - 0.01a = 1690

0.01a = 110

a = $11000

Amount invested at 8% rate of interest = $11000

Amount invested at 9% rate of interest = $(20000 - 11000) = $9000

Answer:

stop asking me like I'm doing school

Answer:

x = 3

y = 7

Step-by-step explanation:

y=3x-2

y=4x-5

then 3x-2 = 4x-5

reduce

x = 3

y = 7

Answer:

SOLVE FOR Y

y=

2

x+5

​

SOLVE FOR X

x=2y−5

Step-by-step explanation:

Answer:

infinitely many solutions

Step-by-step explanation:

Given the simultaneous equation

4x=10+4y... 1

2x-2y=15 .... 2

_____________

4x-4y = 10 * 1

2x-2y = 15 * 2

__________--

4x-4y = 10

4x-4y = 30

Add both equation

8x - 8y = 10+30

8x-8y = 40

Divide though by 8

x-y = 5

x = 5 +  y

Since the result gave 1 equation and 2 unknowns, then we will let x =k

k = 5 + y

y = k -5

k can be any integer

(x,y) = (k, k-5)

This show that the equation has infinitely many solutions

Answer:

[tex]\therefore 2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = -\dfrac{7}{11}[/tex]

Step-by-step explanation:

The question relates to dividing a fraction by proper and another fraction

The given expression is presented as follows;

[tex]2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right )[/tex]

We rearrange the fractions as improper  fractions for easier division as follows;

[tex]2\dfrac{1}{3} = \dfrac{7}{3}[/tex]

[tex]-3\dfrac{2}{3} = -\dfrac{11}{3}[/tex]

Therefore, we have;

[tex]2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = \dfrac{7}{3} \div \left (-\dfrac{11}{3} \right ) = \dfrac{7}{3} \times \left (\dfrac{1}{-\dfrac{11}{3} } \right ) = \dfrac{7}{3} \div \left (-\dfrac{3}{11} \right ) =-\dfrac{7}{11}[/tex]

[tex]\therefore 2\dfrac{1}{3} \div \left ( -3\dfrac{2}{3} \right ) = -\dfrac{7}{11}[/tex]

Answer:

2199.11 (with pi)

2198 (with 3.14)

Step-by-step explanation:

A=2πrh+2πr²

A=2π(14)(11)+2π(14)²

A=2π(154)+2π(196)

A=2(483.56)+2(615.44)

A=967.12+1230.88

Answer:

7c-3x-37 , this is correct answer

Answer:

What.... what do you need help with

Step-by-step explanation:

Explanation

Answer: freestyle

Step-by-step explanation:

Answer:

6/13

Step-by-step explanation:

Sweets received by Kari = 6

Total number of sweets = 6 + 7 = 13

Fraction of sweets received by Kari = 6/13

Answer: y=−4/5x−4

Step-by-step explanation:

5y+4x=−20

Step 1: Add -4x to both sides. 4x+5y+−4x=−20+−4x 5y=−4x−20

Step 2: Divide both sides by 5.

y=−4/5x−4

Answer:

a >= -3

Step-by-step explanation:

So A

Answer:

6%

Step-by-step explanation:

300 ÷ 3 = 100

18 ÷ 3 = 6

Answer:

Step-by-step explanation:

a)     No of outcomes= 7

       total no of outcomes= 10

       probability = no of outcomes/total no of outcomes

       =7/10

b)     4/10 ( since the outcomes could be 1,2,3,4)

c)     no 1 to 10 has 5 odd numbers

       so, probability = 5/10 = 1/2

d)    multiples of 3 from 1 to 10 are :-

      3,6,9= 3 no's

      so probability = 3/10

Answer: 2975

Step-by-step explanation:

From the question, we are informed that a college has a student to teacher ratio of 35 to 2 and that there are 170 teachers at the college,

The number of students in the college will then bee calculated as:

= 35 × 170/2

= 35 × 85

= 2975

Therefore, 2975 students attend the college

Answer:

1/8 more yards

Step-by-step explanation:

ez

Answer:

Step-by-step explanation:

Most metal conduct electricity well. To be more specific, anything with conduction or "free" electrons will conduct electricity very well.

Answer:

x = 6

Step-by-step explanation:

(5x-24)/2 = 3

2.5x - 12 = 3

2.5x = 15

x = 6

8,8,8 este primull!!!!!!! sper că te-am ajutat

Answer:

ALT + F5

Step-by-step explanation:

Answer:

where is the equation?

Answer:

The answer is 1490

Step-by-step explanation:

u just throw the two zeros from the hundred to the back

The correct answer is,

[tex]1490.0[/tex]

Answer:

3x+6 is inverse of 3x-6.it is a additive inverse and if we add both we get 0.

Answer:

Step-by-step explanation:

10(3)+2(10)(4)+2(3)(4)=30+80+24

                                =134