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3 years ago

Whats the answer to the question

Mathematics

2 answers:

postnew [5]3 years ago

7 0

Answer:

the answer is 1/3 or 0.33

Step-by-step explanation:

san4es73 [151]3 years ago

4 0

it would be 1/3 because there independent variables

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A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is

Nata [24]

the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75

<u>Step-by-step explanation:</u>

Given A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11. For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23 . We have to find the cost for each pound of trail mix and each pound of jelly beans.

Let the cost of each pound of trail mix is $y.

and the cost of each pound of jelly beans is $x.

According to question,

For 3 pounds of jelly beans and 2 pounds of trail mix, the total cost is $11.

⇒ $3x+2y=11$ → (1)

For 5 pounds of jelly beans and 6 pounds of trail mix, the total cost is $23

⇒ $5x+6y=23$ → (2)

Solving (1) and (2), we get

3(1 equation)-(2 equation)=0

⇒ $3(3x+2y)-5x-6y=3(11)-23$

⇒ $9x+6y-5x-6y=10$

hence,

⇒ $4x=10$

⇒ $x=2.5$

Putting $x=2.5$ in $3x+2y=11$ we get ;

⇒ $3x+2y=11$

⇒ $3(2.5)+2y=11$

⇒ $2y=11-7.5=3.5$

⇒ $y=1.75$

Hence, the cost for each of jelly beans and each pound of trail mix is $2.5 and $1.75 .

6 0

3 years ago

Tori ran 4/5 Mile in 1/5 hour. write an equation for the distance in miles Y that she ran in X hours if she ran at a constant ra

nirvana33 [79]

Answer:

$y=4x$

Step-by-step explanation:

Let

y ----> the distance in miles

x ----> the time in hours

using proportion

$\frac{y}{x}=\frac{(4/5)}{(1/5)}$

Simplify

$\frac{y}{x}=\frac{4}{1}$

$y=4x$

This is a linear direct variation

The unit rate or speed is the slope of the linear equation

The unit rate is 4 miles/hour

6 0

3 years ago

3/4 + 5/4 =?<br>I need help ASAP .

Hitman42 [59]

$\dfrac{3}{4}+\dfrac{5}{4}=\dfrac{3+5}{4}=\dfrac{8}{4}=2$

8 0

3 years ago

We have seen that isosceles triangles have two sides of equal length. The angles opposite these sides have the same measure. Use

Naddik [55]

Question has missing figure, the figure is in the attachment.

Answer:

The measure of ∠1 is 65°.

The measure of ∠2 is 65°.

The measure of ∠3 is 50°.

The measure of ∠4 is 115°.

The measure of ∠5 is 65°.

Step-by-step explanation:

Given,

We have an isosceles triangle which we can named it as ΔABC.

In which Length of AB is equal to length of BC.

And also m∠B is equal to m∠C.

ext.m∠C= 115°(Here ext. stands for exterior)

We have to find the measure of angles angles 1 through 5.

Solution,

For ∠1.

∠1 and ext.∠C makes straight angle, and we know that the measure of straight angle is 180°.

So, we can frame this in equation form as;

$\angle1+ext.\angle C=180\°$

On putting the values, we get;

$\angle 1+115\°=180\°\\\\\angle1=180\[tex]\therefore m\angle2=65\°$ -115\°=65\°[/tex]

Thus the measure of ∠1 is 65°.

For ∠2.

Since the given triangle is an isosceles triangle.

So, $m\angle1=m\angle2$

Thus the measure of ∠2 is 65°.

For ∠3.

Here ∠1, ∠2 and ∠3 are the three angles of the triangle.

So we use the angle sum property of triangle, which states that;

"The sum of all the angles of a triangle is equal to 180°".

$\therefore \angle1+\angle2+\angle3=180\°$

Now we put the values and get;

$65\°+65\°+\angle3=180\°\\\\130\°+\angle3=180\°\\\\\angle3=180\°-130\°=50\°$

Thus the measure of ∠3 is 50°.

For ∠4.

∠4 and ∠2 makes straight angle, and we know that the measure of straight angle is 180°.

So, we can frame this in equation form as;

$\angle2 +\angle 4 =180\°$

Substituting the values of of angle 2 to find angle 4 we get;

$65\°+ \angle 4 = 180\°\\\\ \angle 4 = 180\°-65\°\\\\\angle 4= 115\°$

Thus the measure of ∠4 is 115°.

For ∠5.

∠4 and ∠5 makes straight angle, and we know that the measure of straight angle is 180°.

So, we can frame this in equation form as;

$\angle4 +\angle 5 =180\°$

Substituting the values of of angle 4 to find angle 5 we get;

$115\°+ \angle 5 = 180\°\\\\ \angle 5 = 180\°-115\°\\\\\angle 5= 65\°$

Thus the measure of ∠5 is 65°.

Hence:

The measure of ∠1 is 65°.

The measure of ∠2 is 65°.

The measure of ∠3 is 50°.

The measure of ∠4 is 115°.

The measure of ∠5 is 65°.

6 0

3 years ago

3x^2+ 4x + 5 for x = -2

Alexus [3.1K]

The answer is 33
3(-2)^2+4(-2)+5
-6^2+ (-8) + 5
36 + (-8) + 5
28+5
33

7 0

3 years ago