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3 years ago

15

At a grocery store, blueberries come packaged in 8-ounce containers for $2.80. At a farmer's market, blueberries cost $4.20 for

14 ounces. There are 16 ounces in one pound. Which statement accurately compares the cost of blueberries?

2 answers:

barxatty [35]3 years ago

8 0

Answer:

C is the correct answer!

Hope I helped :}

irina1246 [14]3 years ago

6 0

The answer is letter C.

In the grocery, the prices per product is represented by:
$2.80/8 ounce
$0.35/ounce
Converted to pounds...
$5.6/lb

In the farmer's market, the prices per product is represented by:<span>
</span>$4.2/ 14 ounces
$0.30/ounce
Converted to pounds...
$4.8/lb

The farmer's market blueberries is cheaper than the grocery's by $0.80 per pound.

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Find the area of a rhombus with side length 6 and an interior angle with measure $120^\circ$.

Serhud [2]

Answer:

The area of a rhombus is $18\sqrt{3}$ square units.

Step-by-step explanation:

Side length of rhombus = 6 units.

Interior angle of rhombus = 120°

another Interior angle of rhombus = 180°-120° = 60°.

Draw an altitude.

In a right angled triangle

$\sin \theta=\frac{opposite}{hypotenuse}$

$\sin (60)=\frac{h}{6}$

$\frac{\sqrt{3}}{2}=\frac{h}{6}$

Multiply both sides by 6.

$3\sqrt{3}=h$

The height of the rhombus is $3\sqrt{3}$ .

Area of a rhombus is

$Area=base\times height$

$Area=6\times 3\sqrt{3}$

$Area=18\sqrt{3}$

Therefore, the area of a rhombus is $18\sqrt{3}$ square units.

8 0

3 years ago

Read 2 more answers

Given: Q=7m+3n,R=11-2m,s=n+5,and T =-m-3n+8 simplify Q-[R+S]-T

Gnesinka [82]

Answer:

Simplify

$Q-[R+S]-T$

The answer is:

$10m+5n-24$

Step-by-step explanation:

We have the expressions:

$Q=7m+3n\\R=11-2m\\S=n+5\\T=-m-3n+8$

Now, we need simplify:

$Q-[R+S]-T$

We need to replace each term by the expressions:

$7m+3n-[(11-2m)+(n+5)]-(-m-3n+8)$

We need to remember the rule of signs:

$-/-=+$

$-/+=-$

$+/+=+$

With this in mind we solve the parentheses:

$7m+3n-[(11-2m)+(n+5)]-(-m-3n+8)$

$7m+3n-[11-2m+n+5]+m+3n-8$

$7m+3n-11+2m-n-5+m+3n-8$

let's group common terms

$7m+3n-11+2m-n-5+m+3n-8\\7m+2m+m+3n-n+3n-11-5-8$

We must add and subtract common terms:

$7m+2m+m+3n-n+3n-11-5-8\\10m+5n-24$

The answer is:

$10m+5n-24$

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3 years ago

Solve the following by factoring. 12x^2 -7x -12 = 0

nirvana33 [79]

Solution:

The given equation is

$12x^2 -7x -12 = 0$

Now we will factor the middle term as per the ac-method because the given equation is a quadratic equation.

$12x^2 -7x -12 = 0\\\\12x^2-16x+9x-12=0\\\\4x(3x-4)+3(3x-4)=0\\\\(3x-4)(4x+3)=0\\\\3x-4=0,or, 4x+3=0\\\\x=\frac{4}{3},x=\frac{-3}{4}\\$

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3 years ago

Need help with math problem give 5 stars and brain thingy point

rewona [7]

Answer:

b) 2/6

Step-by-step explanation:

0, 1/6, 2/6, 3/6, 4/6, 5/6, 1

Hope this helps!

4 0

2 years ago

The graph of g(x) resembles the graph of f(x)=x^2, but it has been changed. Which of these is the equation of g(x)?

siniylev [52]

Answer:

A.

Step-by-step explanation:

Anwer A has the following equation:

$g(x)=\frac{3}{5}x^2-3$

In this equation, we can calculated the intercept replacing x by 0, as:

$g(x)=\frac{3}{5}0^2-3=-3$

if this is the answer, the graph of g(x) should be through the point (0,-3) and that happens.

Additionally, the roots of the equations are calculated replacing g(x) by 0 and solving for x, so:

$0=\frac{3}{5}x^2-3\\x_1=\sqrt{5}=2.236\\x_2=-\sqrt{5}=-2.236$

It means that the graph of g(x) should be through the points (2.236,0) and (-2.236,0) and that happens too.

So, the answer is A, $g(x)=\frac{3}{5}x^2-3$

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3 years ago