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2 years ago

PLEASE HELP I NEED IT

Mathematics

2 answers:

laiz [17]2 years ago

8 0

Answer:

Step-by-step explanation:

2/8 = 1/4 = 0.25

OverLord2011 [107]2 years ago

5 0

B is the correct answer

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Tyler went to the super market to buy food for a pantry. He has $36, and can carry up to 20pounds of food in his backpack. One p

AleksAgata [21]

This question is incomplete

Complete Question

Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar. Let x = the number of packages of pasta and y = the number of jars of pasta sauce. One package of pasta is the right amount to go with one jar of pasta sauce. What is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry? Explain your reasoning.

Answer:

Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.

Step-by-step explanation:

Let

x = the number of packages of pasta

y = the number of jars of pasta sauce.

He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.

x + 1.5y ≤ 20....... Equation 1

x = 20 - 1.5y

x × $1 + y × $3 = $36

x + 3y ≤ 36..... Equation 2

20 - 1.5y + 3y = 36

-1.5y + 3y = 36 - 20

1.5y = 16

y = 16/1.5

y = 8

And x = 8

Therefore,

Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.

6 0

2 years ago

In a survey 9 out of 15 named math as their favorite class. express this rate as a decimal

ZanzabumX [31]

0.6 is 9/15 as a decimal.

3 0

3 years ago

What is the solution of √x-5 = x-11

PIT_PIT [208]

Hey!

To solve x in this equation we must first add five to both sides to get $\sqrt{x}$ on its own.

Original Equation :
$\sqrt{x} - 5 = x - 11$

New Equation {Added 5 to Both Sides} :
$\sqrt{x} =x-6$

Now we must square both sides of the equation.

Old Equation :
$\sqrt{x} =x-6$

New Equation {Changed by Squaring Both Sides} :
$x= x^{2} -12x+36$

And now we must solve the new equation.

Step 1 - Switch sides
$x^{2} -12x+36=x$

Step 2 - Subtract x from both sides
$x^{2} -12x+36-x=x-x$

Step 3 - Simplify
$x^{2} -13x+36=0$

Now we need to solve the rest of the equation using the quadratic formula.

$\frac{-(-13)+ \sqrt{(-13) ^{2}-4*1*36 } }{2*1}$

${13+ \sqrt{(-13)^{2}-4*1*36 }=13+ \sqrt{25}$

$\frac{13+ \sqrt{25}}{2}$

$\sqrt{25}=5$

$\frac{13+5}{2}$

$\frac{18}{2}$

9

$\frac{-(-13)- \sqrt{(-13) ^{2} -4*1*36} }{2*1}$

4

So, this means that in the equation $\sqrt{x} -5=x-11$ , x = 9 and x = 4.

Hope this helps!

- Lindsey Frazier ♥

4 0

2 years ago

Express the following the ratio in the simplest term A 45;6 B 54;36 C 12;8;16

spayn [35]

A. 45:6 = 15:2

B. 54:36 = 3:2

C. 12:8:16 = 3:2:4

8 0

3 years ago

Suppose a university advertises that its average class size is 34 or less. A student organization is concerned that budget cuts

Korolek [52]

Answer:

H0: μ ≤ 34

H1: μ > 34

The z-test statistic is ≈ 1.8

The critical z-score is 1.28

we fail to reject the null hypothesis H0: μ ≤ 34

Step-by-step explanation:

H0: μ ≤ 34

H1: μ > 34

The z-test statistic is calculated using the formula:

z= $\frac{X-M}{s}$ where

X is the average class size found in the sample (35.6)
M is the mean according to the null hypothesis (34)
s is the standard deviation for class size (9)

then z= $\frac{35.6-34}{9}$ ≈ 0.18

The critical z-score is 1.28 for α=0.10 (one tailed)

Because the test statistic is less than the critical value, do not reject the null hypothesis.

8 0

3 years ago