10. the quotient is 58 and the remainder is 3. What is the number

Answers

Answer 1

Answer:

Step-by-step explanation: 58 - 3 = 55.

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A triangle has sides with lenghs of 3x+3 ,2x+2 and 4x-1. what is the perimiter of the triangle

Answers

Just add the side lengths together.
3x+3+2x+2+4x-1=9x+4

Jennifer got a box of chocolates. the box is a right triangular prism shaped box. it is 7 in long. and the triangular base measure 2in times 3in times 4in. what is the surface area of the box of chocolates?

Answers

Answer:

$A = 68.8 inches^(2)$

Step-by-step explanation:

Given : Jennifer got a box of chocolates. the box is a right triangular prism shaped box. it is 7 in long. and the triangular base measure 2in times 3in times 4in.

a = 2

b=3

c=4

To Find : what is the surface area of the box of chocolates?

Solution: The first thing we should know is the area of the triangular base.

Triangular base area:

$A1 =√((s * (s-a) * (s-b) * (s-c)) )$

Where, s is the semi-meter of the triangle:

$s =( (a + b + c) )/( 2)$

a, b, c: sides of the triangle.

Substituting:

s = (2 + 3 + 4) /2=4.5

$A1 = √( (4.5 * (4.5-2) * (4.5-3) * (4.5-4)))$

A1 = 2.90

Then, you must know the area of each rectangle associated with each side of the triangular base.

Rectangle area 1: Ar1 = (a) * (l)

Ar1 = (2) * (7)

Ar1 = 14

Rectangular area 2: Ar2 = (b) * (l)

Ar2 = (3) * (7)

Ar2 = 21

Rectangular area 3: Ar3 = (a) * (l)

Ar3 = (4) * (7)

Ar3 = 28

Finally the surface area is: A = Ar1 + Ar2 + Ar3 + 2 * A1

A = (14) + (21) + (28) + 2 * (2.90)

$A = 68.8 inches^(2)$

Hence the surface area of the box of chocolates is

$A = 68.8 inches^(2)$

Is 7/8 less than greater than or equal to 3/4

Answers

7/8 is greater
than3/4

7/8 is greater than 3/3 hope i helped

the 2008 year book at middleton middle school had 236 candid pictures of students. the 2007 yearbook had 214 candid pictures of students. what was the percent of change in the number of candid student pictures from 2007 to 2008 to the nearest tenth?

Answers

Use proportions.
214/236=x/100(100 because it's a percentage.
cross multiply:
23600=214x
solve for x:
x= 11.3(rounded)
11.3% increase

What is the smallest number with the factors 1,2,3,4, and 5? What is the special name for it?

Answers

to find LCM
factor and eliminate ones already represented
1=1
2=2
3=3
4=2*2
5=5

1*2*2*3*5=60

Mustafa buys seed packets for a community garden. One packet of basil seeds costs $1.50. One packet of squash seeds costs $2.50. Let b represent the number of packets of basil seed. Let s represent the number of packets of squash seeds. Mustafa spent $38 on 18 packets of seeds. How many packets of each type of seeds did Mustafa buy?

Answers

There are total 11 packets of squash seeds and 7 packets of basil seeds.

What is system of linear equations?

A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.

What is substitution method?

The substitution method is the algebraic method to solve simultaneous linear equations. In this method, the value of one variable from one equation is substituted in the other equation.

According to the given question.

Cost of one packet of basil seeds = $1.50

Cost of one packet of squash seeds = $2.50

Cost of 18 packets of seeds = 38

Also, b represents the number of packets of basil seeds and s represents of numbers of squash seeds.

Therefore, from the given conditions we get some system of equations

$s + b = 18..(i)$