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2 years ago

» What is the distance between -25 and -12 on a number line?

Mathematics

1 answer:

solmaris [256]2 years ago

8 0

Answer: 13

Step-by-step explanation: All you have to do is subtract -12 from -25 and you get -13. If it was -25 from 12 you would just add the two together.

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You are busy baking cookies. You have baked 32 cookies and you want to make sure that each of your eight friend's cookies look t

SOVA2 [1]

You will need exactly 128 pieces of candy to go on all the cookies.

Step-by-step explanation:

To get to this conclusion you will need to use multiplication to determine the outcome.

Since there are 32 cookies for 8 of your friends and each cookie needs 4 pieces of candy you will need to multiply the pieces of candy per cookie.

32×4=128

Each friend will get 4 cookies each. You will get this conclusion by using division.

32÷8 = 4

Learn more about multiplication at brainly.com/question/12353086

#LearnwithBrainly

7 0

3 years ago

each side of triangle xyz has length 9 .Find the area of the region inside the circumcircle of the triangle but outside the tria

mote1985 [20]

Answer:

The area of the region inside the circumcircle of the triangle but outside the triangle is

$A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the area of triangle

we have an equilateral triangle

Applying the law of sines

$A_t=\frac{1}{2}(b^2)sin(60^o)$

where b is the length side of the equilateral triangle

we have

$b=9\ units$

$A_t=\frac{1}{2}(81)sin(60^o)$

$A_t=\frac{1}{2}(81)\frac{\sqrt{3}}{2}$

$A_t=81\frac{\sqrt{3}}{4}\ units^2$

step 2

Find the area of circle

The area of the circle is equal to

$A_c=\pi r^{2}$

The formula to calculate the radius of the circumcircle of the triangle equilateral is equal to

$r=b\frac{\sqrt{3}}{6}$

where b is the length side of the equilateral triangle

we have

$b=9\ units$

substitute

$r=(9)\frac{\sqrt{3}}{6}$

$r=3\frac{\sqrt{3}}{2}\ units$

Find the area

$A_c=\pi (3\frac{\sqrt{3}}{2})^{2}$

$A_c=\frac{27}{4} \pi\ units^2$

step 3

Find the area of the shaded region

we know that

The area of the region inside the circumcircle of the triangle but outside the triangle is equal to the area pf the circle minus the area of triangle

$A=(\frac{27}{4} \pi-81\frac{\sqrt{3}}{4})\ units^2$

Simplify

$A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2$

6 0

3 years ago

Corinne bought 5 bags of chips and 4 jars of dipping sauce for $21.82. At the same prices, Ginger bought 4 bags of chips and 3 j

mr_godi [17]

Answer:

The price of one jar of dipping sauce is $2.98

Step-by-step explanation:

Let

x ----> the price of one bag of chip

y ----> the price of one jar of dipping sauce

we know that

Corinne

$5x+4y=21.82$ ----> equation A

Ginger

$4x+3y=16.86$ ----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (1.98,2.98)

see the attached figure

therefore

The price of one bag of chip is $1.98

The price of one jar of dipping sauce is $2.98

7 0

2 years ago

What value of x in the solution set of 2(3x – 1) ≥ 4x – 6?

Brrunno [24]

First, you must distribute 2(3x-1).
To do that, you will multiply 2•3x, and 2•-1 because you are taking the number outside of the parentheses and multiplying (distributing) it to all the numbers inside

After distributing, the left side of your inequality will be 6x-2

Now you have
$6x - 2 \geqslant 4x - 6$

To find the value of x, you must subtract an x value from both sides of the equation, as well as a constant from each side.

so you have
$6x - 2 \geqslant 4x - 6 \\ - 6x \geqslant + 6$
And that will make the equation
$- 4 \geqslant - 2x$
Now, divide the variable side, ***BUT, because you are dividing by a negative number in an inequality, the inequality will switch sides.

Then, the value of x is greater than or equal to 2

5 0

2 years ago

Read 2 more answers

For the animal shelter, Elena Nppurchased

Naddik [55]

Elena's total cost (C) is 5(9.98 + 24.99 + x)

Since each dog leashes cost $9.98, each bag of dog food cost $24.99 and each crate of egg cost $x, hence:

Total cost (C) = 5 * $9.98 + (5 * 24.99) + (5 * x)

C = 5(9.98 + 24.99 + x)

Therefore Elena's total cost (C) is 5(9.98 + 24.99 + x)

Find out more at: brainly.com/question/21105092

6 0

2 years ago