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1 year ago

Rewrite the equation in Ax+By=C form. use intergers for A,B,C y=1/5-1

Mathematics

1 answer:

schepotkina [342]1 year ago

6 0

Answer:

$5y=-4$

<em>Sure hope this helps you :D</em>

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A figure is made up of a triangle and a rectangle. The triangle has a height of 8.5 inches and a base of 10 inches. The rectangl

Brilliant_brown [7]

$\sf are a \ of \ triangle : \frac{1}{2}*base *height$

$\sf are a \ of \ rectangle : Length * Width$

total area :

$\sf are a \ of \ rectangle + area \ of \ triangle$

$\rightarrow \sf 9 * 10 + \frac{1}{2} *8.5*10$

$\rightarrow \sf 132.5 \ in^2$

5 0

2 years ago

Caroline has some dimes and some quarters. She has a maximum of 15 coins worth at least $2.85 combined. If Caroline has 3 dimes,

gayaneshka [121]

Answer:

11, 12.

Step-by-step explanation:

Let q represent number of quarters.

We have been given that Caroline has a maximum of 15 coins worth at least $2.85 combined. We are also told that Caroline has 3 dimes. This means that total coins are less than or equal to 15.

We can represent this information in an inequality as:

$q+3\leq 15...(1)$

We are also told that the coins worth at least $2.85 combined. This means that the worth of all coins is greater than or equal to 2.85.

We know that each dime is worth $0.10 and each quarter is worth $0.25.

$0.25q+3(0.10)\geq 2.85...(2)$

Now, let us solve our system of inequalities.

From 1st inequality, we will get:

$q+3-3\leq 15-3$

$q\leq 12$

From 2nd inequality, we will get:

$0.25q+0.30\geq 2.85$

$0.25q+0.30-0.30\geq 2.85-0.30$

$0.25q\geq 2.55$

$\frac{0.25q}{0.25}\geq \frac{2.55}{0.25}$

$q\geq 10.2$

Upon combining our both inequalities, we will get:

$10.2\leq q\leq 12$

This means that numbers of quarters would be greater than or equal to 10.2 and less than or equal to 12.

Since we cannot have 0.2 of a coin, therefore, Caroline could have 11 or 12 quarters.

6 0

2 years ago

If odd natural numbers are less than 7, then they are prime numbers.

guajiro [1.7K]

I think true?? i think! im really not sure but yea

5 0

2 years ago

1. A plumber cut a pipe into 6 identical pieces. Each piece measures 17.4 feet long.

iragen [17]

Answer:

104.4 for A.

Step-by-step explanation:

3 0

2 years ago

Im not sure how to find the missing angle

LuckyWell [14K]

Answer:

Step-by-step explanation:

the question is asking for the length of the side labeled x

use Pythagoras' theorem to find that side

where c = x because c represents the hypotenuse in the theorem and x is on the hypotenuse in this problem

c = $\sqrt{a^{2} + b^{2} }$

sooo plug in a = 14 and b = 10

c = $\sqrt{14^{2} + 10^{2} }$

c = $\sqrt{196+100}$

c = $\sqrt{296}$

c= 17.20465..... ( that's the approx. length of side x in the problem )

since this is a right triangle we could use trigonometry to find the two angles use SOH CAH TOA to remember how those functions fit on the triangle.

Sin(Ф)=Opp/Hyp Cos(Ф)=Adj/Hyp Tan(Ф)=Opp/Adj

since we know the Hyp (hypotenuse) and the side adjacent will be the side with the 10 soooo...

Cos(Ф)=10/17.20465

Ф = arcCos(10/17.20465)

Ф = 54.4623° is the angle on the side with 10

the side with 14 then has an angle of 35.5376°

5 0

2 years ago