-l0 = -2+1/2 d solved for d

Answers

Answer 1
Answer: -10 =-2+ (1)/(2) d 

-10=-2+ (d)/(2) 

-10= (d)/(2) -2     Regroup \ terms 

-10+2= (d)/(2)     Add \ 2 \ to \ both \ sides 

-8= (d)/(2) 

-8*2=d      Multiply \ both \ sides \ by \ 2 

d=-16


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Find the measure of angle B 78 degrees 37 degrees 55 degrees 65 degrees

Please help me asap!!!

Answers

Answer:

B) AD=30m

Step-by-step explanation:

AG:AD=2:3

Given AG=20m

Then;

20:AD=2:3

Rewrite as ratio to get;

(20)/(AD)=(2)/(3)

Cross multiply;

2|AD|=3* 20

2|AD|=60

Divide through by 2;

|AD|=30

When dividing 878 by 31, a student finds a quotient of 28 with a remainder of 11. Check the students work, and use the check to find the error in the solution

Answers

The solution of the student work is wrong

The remainder number should be 10

Further explanation

The division operation is one of the basic arithmetic operations

Common signs used are \boxed{:}} or \boxed{\slash}

The division is written by placing the numerator above the denominator with a horizontal line between them or use a slash with the numerator's position and the denominator is parallel

The division is actually an iterative subtraction operation (as many as the number of divisors)

Division is the opposite of multiplying

The general form of division can be stated by:

\large{\boxed{\bold{dividend~/~divisor=quotient+remainder}}}

example:

7: 3 = 2 + 1

  • 7 = dividend
  • 3 = divisor
  • 2 = quotient
  • 1 = remainder

The form of division can also be expressed in terms of fractions

In the number above, the form of fraction obtained is the form of mixed fractions

Mixed fractions consist of integers and ordinary fractions

Division operation statement:

"7 divided by 3 equals 2 remainder 1

mixed fractional form

\displaystyle {2(1)/(3) }

Mixed fractions can be expressed as ordinary fractions

a(b)/(c) = ((c*~a)+b)/(c)

When dividing 878 by 31, a student finds a quotient of 28 with a remainder of 11.

Division operation statement:

"878 divided by 31 equals 28 remainder 11

This division operation is declared true if the result of:

(divisor x quotient) + remainder = dividend

So from the students work above we can check:

(31x28) +11 = 878

868 + 11 = 878

879 ≠ 878

So the results of the division of tasks from students are wrong

The remainder should be 10

878- (31x28) = 10

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Keywords: division, fraction,

878 ÷ 31 = 28 remainder of 10

28 × 31 = 868

878
-868
10

Solve for y: R (6x-11)° (9y-19)° (4x+23)°​

Answers

Answer:

y = 12

Step-by-step explanation:

We first need to solve for x

(6x - 11)° and (4x + 23)° are vertically opposite angles and are congruent, so

6x - 11 = 4x + 23 ( subtract 4x from both sides )

6x - 4x - 11 = 4x - 4x + 23 ( simplify both sides )

2x - 11 = 23 ( add 11 to both sides )

2x - 11 + 11 = 23 + 11 ( simplify both sides )

2x = 34 ( divide both sides by 2 )

(2)/(2) x = (34)/(2) , that is

x = 17

Then

4x + 23 = 4(17) + 23 = 68 + 23 = 91

(9y - 19)° and 91 are a linear pair and sum to 180°

sum the 2 angles and equate to 180

9y - 19 + 91 = 180 ( simplify left side )

9y + 72 = 180 ( subtract 72 from both sides )

9y + 72 - 72 = 180 - 72 ( simplify both sides )

9y = 108 ( divide both sides by 9 )

(9)/(9) y = (108)/(9) , that is

y = 12

Maya owes $104,000 to a credit card company. The debt grows with 12% annual interest that compounds every month. How much will Maya owe in three years?

Answers

Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.

Simple One-time Interest

I = P0r

A = P0 + I = P0 + P0r = P0(1 + r)

What is the equation of the line that passes through (–2, 3) and is parallel to 2x + 3y = 6?

Answers

2x + 3y = 6
3y = - 2x + 6
y = -2/3x + 2....slope here is -2/3
A parallel line will have the same slope

y = mx + b
slope(m) = - 2/3
(-2,3)...x = -2 and y = 3
now we sub, we r looking for b, the y intercept
3 = -2/3(-2) + b
3 = 4/3 + b
3 - 4/3 = b
9/3 - 4/3 = b
5/3 = b

ur equation is : y = -2/3x + 5/3 (slope intercept form)

y = -2/3x + 5/3
2/3x + y = 5/3
2x + 3y = 5 (standard form)
paralell lines have the same slope

in the form
ax+by=c
a and b influence the slope
since it is the same slope
a and b remain the same

2x+3y=c
find c
(-2,3)
x=-2
y=3
input those points to find c
2(-2)+3(3)=c
-4+9=c
5=c

the equesiton is

2x+3y=5

Jenny has $200.00 in her savings account. The account earns interest at the rate of 3% each year.How much money will Jenny have in her account after one year?

Answers

200*1.03=206
She will have 206$ after one year.