Abigail and her children went into a movie theater and she bought $71.50 worth of drinks and pretzels. Each drink costs $4 and each pretzel costs $4.75. She bought a total of 16 drinks and pretzels altogether. Determine the number of drinks and the number of pretzels that Abigail bought.

12.23  i dont know what the awnswer is bu hahahah

Answer:

A) x = 5 or x = 6

B) x = 0.298 or 6.702

C) x = 3

D) x = ±1

Step-by-step explanation:

A) Values of x for which;

x² − 11x + 31 = 1

x² - 11x + 30 = 0

Using quadratic formula, we have;

x = 5 and x = 6

B) Values of x for which;

x² − 5x − 3 = 2x − 5

x² − 5x - 2x - 3 + 5 = 0

x² - 7x + 2 = 0

Using quadratic formula, we have;

x = 0.298 or 6.702

C) Values of x for which;

7x + 1 = 3x² − 2x + 1

3x² - 2x - 7x + 1 - 1 = 0

3x² - 9x = 0

3x² = 9x

Divide both sides by 3x to get;

x = 3

D) Values of x for which;

−2x² + 5x + 6 = 4x² + 5x

Rearranging, we have;

4x² + 2x² + 5x - 5x - 6 = 0

6x² - 6 = 0

x² = 6/6

x² = 1

x = √1

x = ±1

The values of [tex]x[/tex] for the given situations would be as follows:

A). [tex]x = 5[/tex] or [tex]x = 6[/tex].

B). [tex]x = 0.298[/tex] or [tex]6.702[/tex]

C). [tex]x = 3[/tex]

D). [tex]x =[/tex] ±[tex]1[/tex]

a). [tex]x^2 - 11x + 31 = 1[/tex]

⇒ [tex]x^2 - 11x + 30 = 0[/tex]

by employing the quadratic equation, we have the values of [tex]x[/tex];

Considering

a = 1

b = -11

c = 30

⇒ {[tex]-(-11)[/tex] ± [tex]\sqrt{(-11)^2 -4 .1. 30 }[/tex]}[tex]/2.1[/tex]

Now,

[tex]x =[/tex] ([tex]11[/tex] ± [tex]1)/2[/tex]

Thus, the values for which the given trinomial would be equivalent to 1 would be:

∵ [tex]x = 5[/tex] and [tex]x = 6[/tex]

b). [tex]x^2 - 5x - 3 = 2x - 5[/tex]

⇒ [tex]x^2 - 5x - 2x - 3 + 5 = 0[/tex]

⇒ [tex]x^2 - 7x + 2 = 0[/tex]

by employing the quadratic equation, we have the values of [tex]x[/tex];

Therefore, the values of polynomials [tex]x^2 - 5x - 3 = 2x - 5[/tex] when:

∵ [tex]x = 0.298[/tex] or [tex]x = 6.702[/tex]

c). [tex]7x + 1 = 3x^2 - 2x + 1[/tex]

⇒ [tex]3x^2 - 2x - 7x + 1 - 1 = 0[/tex]

⇒ [tex]3x^2 - 9x = 0[/tex]

⇒ [tex]3x^2 = 9x[/tex]

by dividing both the sides by [tex]3x[/tex] to receive;

Hence, the binomial and trinomial [tex]7x + 1 = 3x^2 - 2x + 1[/tex] when:

∵ [tex]x = 3[/tex]

d). [tex]-2x^2 + 5x + 6 = 4x^2 + 5x[/tex]

by arranging them again, we get;

[tex]4x^2 + 2x^2 + 5x - 5x - 6 = 0[/tex]

⇒ [tex]6x^2 - 6 = 0[/tex]

⇒ [tex]x^2 = 6/6[/tex]

The trinomial and binomial [tex]-2x^2 + 5x + 6 = 4x^2 + 5x[/tex] would be when:

∵  [tex]x =[/tex] ±[tex]1[/tex]

Learn more about "Binomial" here:

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Answer:

66.59

Step-by-step explanation:

The surface area can be calculated as follows

= a^2 + 2a √ a^2/4 + h^2

= 4^2 + 2(4) √ 4^2/4 + 6^2

= 16 + 8 √16/4 + 36

= 24 √ 4+36

= 24 √40

= 66.59

Answer:

x = 38.2°

Step-by-step explanation:

sin 27°  =    x°  

    11             15

15 · (sin 27°) = 11 · x°

cross-multiply:

6.81 = 11x

6.81 / 11 = x

x = 0.619

sin^-1 (0.619) = 38.2°

Data for the question :

1 3/4, 2 1/2, 2, 2 3/4, 1, 1 3/4, 1 1/4, 3, 3 1/4, 3 3/4, 2, 2

Answer:

Julie is Incorrect

Step-by-step explanation:

Given the data:

1 3/4, 2 1/2, 2, 2 3/4, 1, 1 3/4, 1 1/4, 3, 3 1/4, 3 3/4, 2, 2

The least amount of time spent is : 1

The most amount of time spent is 3 3/4

According to Julie ; the most amount of time spent is equal to 1 1/2 the least amount of time spent.

That is,

3 3/4 = 1 * 1 1/2

3 3/4 = 15/4

1 * 3/2 = 3/2

Hence, she is incorrect ;

15/4 ≠ 3/2

Answer:

-1.3

Step-by-step explanation:

number line will go all the way to the left and then 7 to the right. which is -1.3

The value of -2 - -7 as modelled in the attached image is; -1.3

According to the question;

The number line model given can be used to evaluate -2 - -0.7 by simply finding the distance between -2 and -0.7 as in the attached image.

Ultimately, the value of -2 - -0.7 is; -1.3

Read more;

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Answer:

112 divided by 4 is 28. So 16 times 4 = 64. 64 divided by 5 is 12. 12 apples per 8 pounds. so 12 times 4 is 48 so your answer is 48

Step-by-step explanation:

Answer:

AC = 4.7 feet

Step-by-step explanation:

cos 20° = x

                5

5 · cos 20° = x

4.7 = x

Answer:

[tex]x=17[/tex]°

Step-by-step explanation:

Because the diagonal lines are marked with arrows, we know that they are parallel. The two angles that are marked with measures are same-side interior angles. Same-side interior angles of parallel lines are supplementary, meaning that the sum of their measures is [tex]180[/tex]°.

Now, with all of this information, we can set up the following equation and solve for [tex]x[/tex]:

[tex]115+4x-3=180[/tex]

[tex]112+4x=180[/tex] (Simplify LHS by combining like terms)

[tex]112+4x-112=180-112[/tex] (Subtract [tex]112[/tex] from both sides of the equation to isolate [tex]x[/tex])

[tex]4x=68[/tex] (Simplify)

[tex]\frac{4x}{4}=\frac{68}{4}[/tex] (Divide both sides of the equation by [tex]4[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=17[/tex]° (Simplify)

Hope this helps!

The radius of the circle is 3

Answer: f=3

Step-by-step explanation:

Answer:

line will go through 1 on the y-axis and -1.5 on the x-axis

Answer:

We know that 30/25 is 1.2 or 1 1/5. SO if we divide 20 by that then we'll get 16.6667. So I won't give you the answer because its best that you learn to do this yourself because its more beneficial than telling you. What you have left is 16.6667=4x-4. Combine like terms and you'll get your answer. But if your still stuck then you can just let me know and I'll help you as much as I can.

Answer:

3

Step-by-step explanation:

If 4 eggs gave Fran 12 cakes then 1 egg would give her 4-1=3

Answer:

y=18.2

Step-by-step explanation:

x=-18.2

-x=18.2

y=18.2

The maximum number of miles she will be able  to travel, to the nearest tenth of a mile is less than or equals to 22.8 miles.

She needs to take a cab and has y dollars. The company charges a flat rate of $2.25 plus $0.55 per mile. Therefore the equation will be

y = 2.25 + 0.55x

where

x = number of miles travelled.

Now she has $12.52 and she finds a cab company with the same flat rate and only charges $0.45 per mile. The maximum number of miles she will be able to travel to the nearest tenth of mile can be calculated below:

2.25 + 0.45x ≤ 12.52

x = number of miles travelled.

0.45x ≤ 12.52 - 2.25

x ≤ 10.27 / 0.45

x ≤ 22.8222222222

x ≤ 22.8 miles

read more: https://brainly.com/question/18366094?referrer=searchResults

Answer:

Step-by-step explanation:

Assuming that the tile sizes are an average of 1x1 then the expression would simply be multiplying the number of rows by the number of columns. This would provide us with a product which would be the area of the bathroom as well as the number of individual tiles that the bathroom needs and/or already has installed represented by the variable t. Therefore, the expression would be the following.

253 * 48 = t

12,144 = t

Answer:

A. 6m - 3

Step-by-step explanation:

6m represents finding the total cost for the 6 packs of muffins.

When you use PEMDAS or GEMDAS (whichever you know better), they both make you solve 6m first which means you subtract $3 after you find the total amount for the packs of muffins.

After you figure that out, you subtract the $3 from the total since it's a coupon and will save you $3 instead of adding it to the total price.

hope this makes sense and help :)

Answer:

A. 6m - 3

Step-by-step explanation:

Saving 3 dollars off of a coupon lowers the price therefore making it subtraction. 6m is the amount of the muffins cost, m being the unknown price of each muffin.

Answer:

√16 or 4

hope this helps!

Answer:

300

Step-by-step explanation:

125/2.5=50

50 x 6=300

Joseph will be able to drive 300 miles in 6 hours

hope this helps!

Answer:

D. Organic shapes

Step-by-step explanation:

Achromatic shapes: shapes with "no color".

Geometric shapes: shapes with straight lines and angles that symbolize structure and order.

Irregular shapes: shapes that have sides and angles of any length and size.

Organic shapes: shapes with a natural look and a flowing and curving appearance. Organic shapes are associated with things from the natural world, like plants and animals.

I hope this helps :)

Answer:

Its the real answer of my inorganic shapes

Step-by-step explanation:

If im wrong im sorry

Answer:

11/9,2

Step-by-step explanation:

Because we are doing this in school

Answer:

the 3rd one.

Step-by-step explanation:

Option D is correct, Aiku has a total of 4.12 meters of rope in all.

Two or more expressions with an Equal sign is called as Equation.

To find the total length of the rope in meters, we need to convert the lengths of the two ropes from centimeters to meters and then add them together.

The length of the first rope is 45 centimeters, which is equal to 0.45 meters (since 1 meter = 100 centimeters).

The length of the second rope is 367 centimeters, which is equal to 3.67 meters.

Adding these two lengths together, we get:

0.45 meters + 3.67 meters = 4.12 meters

Therefore, Aiku has a total of 4.12 meters of rope in all.

To learn more on Equation:

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#SPJ2

Answer:

the square root of 169 is 13 then ×2

26

I hope I am correct mate

enjoy your day

#Captainpower