Mathematics, 04.07.2019 05:40 ErrorNameTaken505

Mr. haigwood is shopping for a school picnic . veggie burgers comes in packages of 15 and buns come in packages of 6. he wants to serve veggie burgers on buns and wants to have no items left over. mr. haighwood says that he will have to buy at least 90 of each item 6 x 15 =90. do you agree with his reasoning

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No, to find the least number of burgers and buns, you should find out the LCM of 15 and 6, not their product.

LCM = 30,
so they need to buy atleast 30 of each item.

Answer from: ella5916

Mr. haigwood is not right.

Step-by-step explanation:

The veggie burgers comes in packages of 15 and buns come in packages of 6.

Mr. haigwood wants to serve veggie burgers on buns and wants to have no items left over.

Now, to find the least number of burgers and buns needed so nothing is left over, we will find the LCM of 15 and 6.

15 = 3 x 5

6 = 2 x 3

LCM = 2 x 3 x 5 = 30

As given, Mr. haighwood says that he will have to buy at least 90 of each item 6 x 15 =90.

This is not right. He needs to buy at least 30 of each item so that nothing is left over.

Answer from: Quest

b: |12 – x| ≤ 0.25

step-by-step explanation:

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

Answer from: Quest

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

$\tan\left(x\right)=\frac{\left[altitude\right]}{\left[base\right]}=\frac{p}{r}$

$\tan\left(x\right)=\frac{p}{r}$

$\frac{p}{r}=tan(x)$

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

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