MATHEMATICS MIDDLE SCHOOL

A company’s profit at the end of the year was -$98.75. Which of these statements must be true?The company broke even.


The company made a little more than $100.


The company lost a little more than 100 dollars.


The company lost a little less than $100.

Answers

Answer 1
Answer: The company lost a little less than $100.

Since the number is negative, we know that they lost money. If it was positive, it would've indicated they made money. If they made no money, they would've broken even. This narrows it down to the last two. Since 98 < 100, we know they lost less than $100, which leaves us with the last one.
Answer 2
Answer:

Answer:

The company lost a little less than $100.

Step-by-step explanation:

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Evaluate the expression, using the given value of the variable. z ÷ 2 – 4z + 3(z – 3) when z = 8     A. –17   B. –13   C. –7   D. –1  Solve for x. 3 • 4 – 3 • 7 = 3(x – 7)   A. 4   B. –10   C. 6   D.         -3                                                                                                             
Determine the center and radius of the circle described by the equation. (x+1)²+(y-5)²=36​

Write and solve a problem involving money that can be solved with a division equation and has a solution of 1,350 plz answer I need help in honestly hopeless

Answers

Answer:

The problem,

Two friends decided to split the money spent on the lunch. If the lunch costs $2,700, how much money does each have to contribute?

involves division (2700)/(2) to give the solution $1,350.

Step-by-step explanation:

We are required to write a problem which involves division equation and the solution should be 1,350.

Let us consider the problem.

Two friends decided to split the money spent on the lunch. If the lunch costs $2,700, how much money does each have to contribute?

So, the solution is given by,

Total amount of the lunch = $2,700

Since the money is divided among both the friends.

So, the money each person have to contribute = (2700)/(2) = $1,350.

Thus, each person have to contribute $1,350.
Jennifer has twice as much money as Emily.  If Jennifer has $2700, how much money does Emily have?

A package of 2 paintbrushes is on sale for 2.40. How much will 3 packages cost?

Answers

To find the unit price of each paintbrush, we simply divide 2.4 by 2 to find how much each individual paintbrush package costs.

2.4/2 = 1.2

Now, we can add 1.2 to 2.4 to find the price of 3 paintbrush packages.

1.2 + 2.4 = 3.6 (This is your answer.)

Answer:

3.60

Step-by-step explanation:

2.40 divided by 2 is 1.20

1.20 times 3 is 3.60

Is 1,000,000 mm bigger/smaller then 10 m?

Answers

10m =10 000 
 
so no 1,000,000 is not smaller then 10m
10 m = 10 000 mm

Therefore, 1,000,000 mm is bigger than 10 m.

What type of conic section is given by the equation 4x^2+9y^2=36? What are its domain and range?

Answers

Answer:

Ellipse

Domain:[-3,3]

Range:[-2,2]

Step-by-step explanation:

We are given that an equation

4x^2+9y^2=36

We have to find the type of conic section and find the domain and range of conic section.

Divide by 36 on both sides then, we get

(x^2)/(9)+(y^2)/(4)=1

(x^2)/(3^2)+(y^2)/(2^2)=1

It is an equation of ellipse.

Substitute y=0 then , we get

(x^2)/(9)=1

x^2=9

x=\pm 3

Domain :[-3,3]

Substitute x=0 then we get

(y^2)/(4)=1

y^2=4

y=\pm 2

Range=[-2,2]
4x^2+9y^2=36\n \n (4x^2)/(36)+(9y^2)/(36)=(36)/(36)\n \n \boxed{(x^2)/(9)+(y^2)/(4)=1}

This is a equation of a ellipse (0,0) centered

Domais: {x∈R/-3≤x≤3}
Range:{y∈R/-2≤y≤2}

Point B is the midpoint of Line segment A C . Horizontal line with points A, B, and C. A vertical line extends from point B through point D to create two right angles.

Which statements about the figure must be true? Select three options.

AngleDBC is bisected by ray BD.
AngleABC is bisected by ray BD.
BC = One-halfAC
Line segment D B is-congruent-to Line segment B C
2mAngleDBC = mAngleABC

Answers

Answer:

(b).∠ABC is bisected by ray BD.

(c) BC = One-half of AC

(e) 2 ∠DBC = ∠ABC

Step-by-step explanation:

Here ray AC and ray BD is perpendicular to each other.

Thus, Option (a) is not true as ∠DBC is not bisected by any ray.

Option (b) is correct.

Option (c) is also correct as B is the mid-point of AC.

Option (d) is also incorrect as length of line segment DB and line segment BC can be different.

Option (e) is also correct.

Answer:

angle ABC is bisected by BD

BC= halfAC

2mangleDBC=mangleABC

Step-by-step explanation:

Find all solutions for X and check. (different from the other question I asked earlier) thanks!

Answers

   
\displaystyle \n 17) \n x(5x-10)=0 \n x = 0 ~~\texttt{or}~~5x-10 = 0 \n x_1 = \boxed{0} \n \n x_2 = (10)/(5) =\boxed{2} \n \texttt{Check: } \n x_1 = 0~~\Longrightarrow ~~ 0(5\cdot 0 - 10) = 0 \cdot (-10) = 0 \n x_2 = 2~~\Longrightarrow ~~ 2(5\cdot 2 - 10) = 2(10 - 10) = 2 \cdot 0 = 0


\displaystyle 18) \n x^2 + 7x-18 = 42 \n x^2 + 7x-18 - 42 =0 \n x^2 + 7x-60 =0 \n .~~~~~7x = 12x - 5x \n \underbrace{x^2 + 12x} -\underbrace{5x - 60} = 0 \n \n x(x+12) -5(x+12)=0 \n (x+12)(x-5)=0 \n x + 12 = 0 ~~\texttt{or}~~x-5 = 0 \n \n x_1 = \boxed{-12} \n x_2 = \boxed{5} \n \n \texttt{Check: } \n x1 = -12 ~~\Longrightarrow~~ (-12)^2 + 7\cdot (-12)-18 = 144-84-18 = 42 \n \n x2 = 5 ~~\Longrightarrow~~ (5)^2 + 7\cdot (5)-18 = 25+35-18 = 42 \n \n
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