pls complete it (picture)​

Answer:

Step-by-step explanation:

Let the two digits be x and y, where x is the tens digit and y is the units (ones) digit.

Then the number is 10x + y.

From the question,

The sum of the digits in a two digit number is 14,

That is, x + y = 14 ....... (1)

Also, from the question,

If you reverse and double the original number, and then add the result to the original number, the sum is 222

If the number is reversed, the new number will be 10y + x; and if this is doubled, we will get 2(10y + x).

Now, if this is added to the original number (10x + y), the sum is 222.

That is,

2(10y + x) + (10x + y) = 222

Then,

20y + 2x + 10x + y = 222

12x + 21y = 222 ........ (2)

Now, we will bring the two equations together and solve simultaneously.

x + y = 14 ....... (1)

12x + 21y = 222 ........ (2)

From equation (1)

x + y = 14

Then, x = 14 - y ...... (3)

Substitute the value of x in equation (3) into equation (2)

12x + 21y = 222

12(14 - y) + 21y = 222

168 - 12y + 21y = 222

168 + 9y = 222

9y = 222 - 168

9y = 54

∴ y = 54/9

y = 6

To determine x, substitute the value of y into equation (3)

x = 14 - y

∴ x = 14 - 6

x = 8

∴ x = 8 and y = 6

Recall that, the two digits are x and y, where x is the tens digit and y is the units (ones) digit.

Hence, the original number is 86.

Answer:

(0,7)

Step-by-step explanation:

Answer:

The company should accept the special offer because it increases income by $23,400.

Step-by-step explanation:

Giving the following information:

Variable costs:

Direct materials $1.50

Direct labor $3.00

Variable manufacturing overhead $0.50

Variable selling and administrative expenses $1.30

Total variable cost= $6.3

An order has been received from a mail-order house for 2,000 units at a special price of $18.00 per unit.

Because it is a special offer and there is unused capacity, we will not take into account the fixed costs:

Effect on income= number of units*unitary contribution margin

Effect on income= 2,000* (18 - 6.3)

Effect on income= $23,400 increase

The company should accept the special offer because it increases income by $23,400.

Answer:

4 1/2 m

Step-by-step explanation:

Area of the patio = 14 5/8 m²

Width = 3 1/4m

Length = ?

Area of the patio = length ×width

Substitute

14 5/8 = 3 1/4 × L

Convert to improper fractions

117/8 = 13/4 L

Cross multiply

8 ×13L = 117×4

2 ×13L= 117

2×L = 9

2L = 9

L = 9/2

L. = 4 1/2 m (in mixed fraction)

Answer:

Since the question is incomplete, I looked for similar questions:

a) determine apr of installment loan  

b) how much interest will Ray save by paying off the loan early

c) what is the total amt due to pay off the loan?

a) first we will determine the effective rate:

PV annuity factor = loan / monthly payment

PV annuity factor = $12,000 / $221 = 54.2986

Using an annuity table, knowing that the number of periods is 60, we can see that the interest rate is 0.333%.

APR = 0.333% x 12 = 4%

b) I prepared an amortization schedule to determine Ray's balance after the 29th payment.

After the 29th payment, Ray's balance will be $6,498.54

in order to pay off the debt completely, he needs to pay $6,498.54 + $22.32 in interests = $6,520.86.

He will be able to save $331 in interests

c) $6,520.86

Answer:

x=4

Step-by-step explanation:

Subtract 5x from both sides: -4x+20=4

Subtract 20 from both sides: -4x=-16

Divide -4 from both sides: x=4

Answer:

x = 4

Step-by-step explanation:

I will explain if you ask.

Answer:

The answer is "[tex]\bold{\frac{11}{3}}\\\\[/tex]".

Step-by-step explanation:

Given value:

i) (2010,48) and (2013,59)

ii) (0,48) and (3,59)

Slope for the given point:

Formula:

[tex]\bold{M= \frac{y_2-y_1}{x_2-x_1}}[/tex]

In point (i):

[tex]\to M= \frac{59-48}{2013-2010}\\\\[/tex]

         [tex]= \frac{11}{3}\\\\[/tex]

In point (ii):

[tex]\to M= \frac{59-48}{3-0}\\\\[/tex]

         [tex]= \frac{11}{3}\\\\[/tex]

Answer:

5.75

Step-by-step explanation:

hope this helps :)

Answer:

I'm pretty sure its C

Step-by-step explanation:

because you can put it in the form y=mx+b.

Answer:

it should be 18:24

Step-by-step explanation:

Answer:

3:4

Step-by-step explanation:

18:24 in simplest for is 3:4

Answer:

(2,1)

Step-by-step explanation

4x+5y=7

y=3x+9

       4x+5(3x+9)=7                4x+5y=7

        4x+15x+45=7                  4(2)+5y=7

         19x+45=7                         8+5y=7

               -7       -7                    -7             -7

          19x  = 38                           5y=1

          19        19                             5   5      

          x=2                                  y= 1.1

 don't forget to brainllest:)

Answer:

1. 7    

2. B

3. C

Step-by-step explanation:

hope its right

Answer:

if you go on khan academy its free it can explain better then me.

Step-by-step explanation:

Answer: the measure of angle A for the inside of the triangle is 180-12x+4.

Since the total angle measurement inside the triangle must be 180 degrees

180-12x+4+10x-10+30=180 is the equation we would use to find X so to solve that 174+30-2x=180, 204-2x=180, -2x=-24 x=12

Answer:36

Step-by-step explanation: 210 divided by 6

Answer:

Y - Intercept     300

Slope                100x

Equation           y = 100x + 300

Danny

No Explanation Needed

Answer:

2

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

all triangles add up to 180 degress

180-64=116

because its an isosceles triangle divide by two

116/2=58

Answer:

No solution

Step-by-step explanation:

An absolute value equation cannot equal a negative number.

Answer:

?=25

Step-by-step explanation:

Answer:

896

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

(2x+5)(x−1)

=(2x+5)(x+−1)

=(2x)(x)+(2x)(−1)+(5)(x)+(5)(−1)

=2x2−2x+5x−5

=2x^2+3x−5

Answer:

8

Step-by-step explanation:

16 cups per gallon divided by 2 equalls 8

Answer:

8 servings

Step-by-step explanation:

1 serving uses 2 cups of milk, and there are 16 cups in a gallon.

you can use a 1:2 ratio to find that a gallon can make 8 servings.

Answer: y=2x-5. so it's 2

remember the following equation: y=mx+b.

the slope is always m, the y intercept is b.

Answer:

d

Step-by-step explanation:

Hadley paddled a canoe 2/3 mile in 1/4 hour. it will be 4 times more in an hour because 1/4*4=4/4=1. 2/3*4=8/3=2 2/3