Calculate each unit price. Determine which is the best buy.
$1.25 for 6 oz.
$1.33 for 8 oz.
$1.50 for 12 oz.
$2.05 for 16 oz.

Answer:

A. x = -2, x = 1.25

Step-by-step explanation:

Use the quadratic formula

x = [tex]\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

4x² + 3x - 10 = 0

a = 4

b = 3

c = - 10

x = [tex]\frac{-3+\sqrt{3^{2}-4x4(-10) } }{2x4}[/tex]

Simplify

Evaluate the exponent

x = [tex]\frac{-3+\sqrt{9-4x4(-10)} }{2x4}[/tex]

Multiply the numbers

x = [tex]\frac{-3+\sqrt{9+160} }{2x4}[/tex]

Add the numbers

x = [tex]\frac{-3+\sqrt{169} }{2x4}[/tex]

Evaluate the square root

x = [tex]\frac{-3+13}{2x4}[/tex]

Multiply the numbers

x = [tex]\frac{-3+13}{8}[/tex]

Separate the equations

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

x = [tex]\frac{-3+13}{8}[/tex]

x = [tex]\frac{-3-13}{8}[/tex]

Solve

Rearrange and isolate the variable to find each solution

x = - 2

x = 1.25

Answer:

A. x = -2, x = 1.25

Step-by-step explanation:

Use the sum-product pattern

4x² + 3x - 10 = 0

4x² + 8x - 5x - 10 = 0

Common factor from the two pairs

(4x² + 8x) + (-5x - 10) = 0

4x (x + 2) - 5 (x + 2) = 0

Rewrite in factored form

4x (x + 2) - 5 (x + 2) = 0

(4x - 5)(x + 2) = 0

Create separate equations

(4x - 5)(x + 2) = 0

4x - 5 = 0

x + 2 = 0

Solve

Rearrange and isolate the variable to find each solution

x = 1.25

x = - 2

Answer:

B = 48.7°

C = 61.3°

b = 12

Step-by-step explanation:

Given:

A = 70°

a = 15

c = 14

Required:

B, C, and b

Solution:

✔️Using the law of sines, let's find C:

Sin C/c = Sin A/a

Plug in the values

Sin C/14 = Sin 70/15

Cross multiply

Sin C × 15 = Sin 70 × 14

Divide both sides by 15

Sin C = (Sin 70 × 14)/15

Sin C = 0.8770

C = Sin^{-1}(0.8770)

C = 61.282566° = 61.3° (nearest tenth)

✔️Find B:

B = 180 - (70 + 61.3) (sum of triangle)

B = 48.7°

✔️Find b using the law of sines:

b/sinB = a/sinA

Plug in the values

b/sin 48.7 = 15/sin 70

Cross multiply

b*sin 70 = 15*sin 48.7

Divide both sides by sin 48.7

b = (15*sin 48.7)/sin 70

b = 11.9921789

b = 12.0 (nearest tenth)

Answer:

x = 120 degrees or (c)

Step-by-step explanation:

It's 120 degrees...

...

Answer:

Nacho Average Minos

Step-by-step explanation:

z=11.25-10/1.5 = 1.25/1.5 = 0.834

z=11.25-12/1 = -0.75/1 = -0.75

Answer:

30 blue pins

Step-by-step explanation:

30% is the same as 30 out of 100, so this can be written in this fraction: [tex]\frac{30}{100}[/tex]

now, you should multiply this fraction by the total number of pins she ordered:

100 x [tex]\frac{30}{100}[/tex]

to solve this, you can simplify by dividing 100 by 100, this equals 1

30 times 1 is 30

there are 30 blue pins

Answer:

30 hair pins were blue

Step-by-step explanation:

100 x 0.3 =  30

Answer: 40 people like song A whereas 20 people like song B. Thus, it is reasonable to say that more people liked Song A .

Step-by-step explanation:

Answer:

The answer is 25 degree because there is ( 8x-1)

Answer:

Steps:

tan(50.1°) = x/5

1.19.. = x/5

x = 5 × 1.19 ..

x = 5.97.. ≈ 5.98

Answer:

quizlet or quizzes

Step-by-step explanation:

Answer:

a) 12:45 am

b) 7:30 pm

c) 20:15

d) 0:00

Step-by-step explanation:

a) We know that the 24-hour clock has no "am" or "pm" because in a day, there are 24 hours, so "pm" would simply be more than 12 hours.

The 12th hour marks noon, which is "12:00 pm" in 12-hour times. Anything after that would start from 1 and would be marked with a pm.

So 12:45 in 12-hour format would be 12:45 pm because it's passed the noon-mark, which is the 12th hour. Anything after noon would be marked with a "pm."

b) Same thing here: 19:30 has also passed the noon mark, the 12th hour. It would be marked with a "pm."

But there is no "19 'o clock" in 12-hour format (hence the 12-hour 12 hours). So to find that, we know that it has already passed noon. We can subtract to find how many hours it has passed noon:

19 - 12 = 7

So it's the 7th hour.

So it would be 7:30 pm.

c) Because there is no "am" or "pm" in the 24-hour clock, we have to see how many hours past noon it has been.

8:15 pm means it has passed noon by 8 hours and 15 minutes. So we add this to the noon mark (first 12 hours of the day).

12 + 8 = 20

This is our hours. We can attach it to the minutes: 20:15.

d) Midnight in 12-hour terms would be 12:00 am. It would be officially the next day, and it's a reset button.

If it were Saturday today, and it's 11:59 pm, it's still Saturday. But once that clock turns 12:00 pm, it's Sunday.

This means that no time has passed during Sunday yet—it just reset.

So it would be 0:00 because no time has passed officially on Sunday yet.

Answer:

5/6?

Step-by-step explanation:

Answer:

24ft²

Step-by-step explanation:

Okay, so I don't understand what you're saying by the whole add the measurement thing, so if this is wrong, I'm very sorry.

Anyways, let's begin, the formula for the area of a triangle is base x height ÷ 2 so we just have to plug in our values:

12 x 4 = 48

48 ÷ 2 = 24

So the area of the triangle is 24ft²

hope this helps:)

3.14 × 16 = 50.24

C is ur answer

now gimme brainliest

Answer:

B or the second one i did  my math

Step-by-step explanation:

Answer:

area = 18.81 m²

Step-by-step explanation:

solving for the 7 sided polygon first:

divide into 7 equal isosceles triangles, each having sides of 10 m and a peak angle of 360°/7 = 51.43°. Drop a line from the peak & perpendicular to the base makes a right triangle with a 25.71° peak angle and a 10 m hypotenuse.

sin 25.71° = x/10, x = 4.34, the base of the full triangle will be 2 x 4.34 = 8.68 m

cos 25.71° = x/10, x = 9.01, the rise of the triangle is 9.01 m

The area of each triangle will be 1/2(8.68)(9.01) = 39.10 m²

39.10 x 7 triangles = 273.72 m²

area of 7 sided polygon = 273.72 m²

Next solve for the inner circle:

The rise of the triangle (9.01) is the radius of the inner circle.

area of inner circle = πr² = 3.14(9.01²) = 254.91 m²

273.72 - 254.91 = 18.81 m²

Answer:

-6=2/3*-6

Step-by-step explanation:

y=mx+b

slope = m b=y intercept

Answer

Use the fact that 45 times 1/9 = 5. Them multiply by 8 to get the answer, 40.

Step-by-step explanation:

The share of money Alan receives is $850. Therefore, option C is correct answer.

Given that, the total amount is $1190 and the ratio Alan: Beth = 5:2.

We need to find the how much money Alan gets.

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other.

Now, 5+2=7

Money Alan receives=5/7×1190

=$850

The share of money Alan receives is $850. Therefore, option C is correct answer.

To learn more about ratios visit:

https://brainly.com/question/1504221.

#SPJ2

Answer:

Number of children = x = 330

Number of adults = y = 358

Step-by-step explanation:

Let

Number of children = x

Number of adults = y

x + y = 688 (1)

1.75x + 2.00y = 1293.50 (2)

From (1)

x = 688 - y

Substitute x = 688 - y into (2)

1.75x + 2.00y = 1293.50

1.75(688 - y) + 2.00y = 1293.50

1,204 - 1.75y + 2.00y = 1293.50

- 1.75y + 2.00y = 1293.50 - 1,204

0.25y = 89.50

y = 358

Substitute y = 358 into (1)

x + y = 688

x + 358 = 688

x = 688 - 358

x = 330

Number of children = x = 330

Number of adults = y = 358

Answer:

x = 12

z = 101

Step-by-step explanation:

Hello There!

First lets find z

Well the angle that has a measure of 79 degrees and angle z are supplementary angles meaning that the sum of the two is 180

So we can find the missing angle by subtract the given angle (79 in this case) from 180

180 - 79 = 101 so z = 101

Now lets find x

The angle that has a measure of 79 degrees and the angle labeled (6x+7) are vertical angles

If you didn't know vertical angles are congruent

That being said lets create an equation to solve for x

79 = 6x + 7

now we solve for x

step 1 subtract 7 from each side by

7 - 7 cancels out

79 - 7 = 72

now we have 72 = 6x

step 2 divide each side by 6

72/6=12

6x/6=x

we're left with x = 12

Answer:

the 11th term is 0.0000488 or 4.88*10^-5.

Step-by-step explanation:

a3 = 20, a7 = 1.25

a7 = a3r^7-3

1.25 = 20r^4

r^4 = 0.0625

r = 4th root of 0.0625

r = 0.5

a3 = a1r^3-1

20 = a1(20)^2

400a1 = 20

a1 = 0.05

a11 = 0.05(0.5)^11-1 = 0.0000488 or 4.88*10^-5

Answer and Step-by-step explanation:

Divide -5 from both sides of the inequality.

x < -5 is the answer.

Here's Why:

If you were to add 5x to both sides, it results in this:

0 > 25 + 5x

Now, we subtract 25 from both sides.

-25 > 5x

When we divide 5 from both sides, we see that it results in -5 > x, which is the same as x < -5.

#teamtrees #PAW (Plant And Water)

Answer:

$4.20 / box

Step-by-step explanation:

12.60 / 3 = 4.20

Answer:the answer is solid B

Step-by-step explanation:

Oh your on edmentum I hate it there is so much work but I can help I'm a math master I'm top 3 smartest at math in my whole school.

Answer: 7pi

Step-by-step explanation: If it completes the circumference distance (14pi) of the circle in 20 seconds, in 10 seconds it will complete half of that. or 7pi. Hope this helped!

:.the distance travelled after 10sec. =7πm

Answer:

in 20 sec distance travelled =2πr=2π×7=14πm

in 10 sec distance travelled=14πm×10/20=7πm

Answer:

A.

0.5

Step-by-step explanation:

Answer:

An acute triangle - interior angles are always less than 90 degrees with different side measures.

An obtuse triangle - one of the interior angles is more than 90 degrees. if one angle measures more than 90 degrees, then the sum of the remaining two angles is less than 90 degrees.

An right triangle -  a triangle with a right angle (90 degrees)

Equilateral triangle has three equal sides. Isosceles triangles has two equal side lengths. Scalene triangles has no equal side lengths