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Fittoniya [83]
3 years ago
9

Mr. Vectadore is buying two new cowboy hats. All

Mathematics
1 answer:
Bess [88]3 years ago
8 0

Answer:

$50.08

Step-by-step explanation:

Let's use x to represent the lesser expensive hat and 2x to represent the more expensive hat since the more expensive hat is twice the price.

So, our equation would be 2x + x = 75.12

We can combine them together to make 3x.

Then, we make the 3x equal to 75.12

3x = 75.12

Now, we solve it.

Divide both sides by 3 to solve for x.

75.12/3 = 25.04

x = 25.04

Lastly, plug it in for 2x to get the price of the more expensive hat.

2(25.04) = ?

2(25.04) = 50.08

Therefore, the price of the more expensive hat is $50.08

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1. Which ordered pairs are solutions to the inequality –3x + y ≥ 7?
Murrr4er [49]
Q1. The answers are (–1, 8), (0, 7), (3, 18)

<span>–3x + y ≥ 7
</span>Let's go through all choices:

<span>(–2, –3) 
</span>(-3) * (-2) + (-3) ≥ 7
6 - 3 ≥ 7
3 ≥ 7       INCORRECT

(–1, 8) 
(-3) * (-1) + 8 ≥ 7
3 + 8 ≥ 7
11 ≥ 7       CORRECT

(0, 7) 
(-3) * 0 + 7 ≥ 7
0 + 7 ≥ 7
7 ≥ 7       CORRECT

(1, 9) 
(-3) * 1 + 9 ≥ 7
-3 + 9 ≥ 7
6 ≥ 7       INCORRECT

(3, 18) 
(-3) * 3 + 18 ≥ 7
-9 + 18 ≥ 7
9 ≥ 7       CORRECT



Q2. The answers are:
5x + 12y ≤ 80
x ≥ 4
<span>y ≥ 0
</span>
<span>x - small boxes
</span><span>y - large boxes

</span>He has x small boxes that weigh 5 lb each and y large boxes that weigh 12 lb each <span>on a shelf that holds up to 80 lb:
5x + 12y </span>≤ 80

Jude needs at least 4 small boxes on the shelf: x ≥ 4

Let's check if y can be 0:
5x + 12y ≤ 80
5x + 12 * 0 ≤ 80
5x + 0 ≤ 80
5x ≤ 80
x ≤ 80 / 5
x ≤ 16

x ≥ 4 can include x ≤ 16

So, y can be 0: y ≥ 0
8 0
2 years ago
What is the ratio?<br> please answer quickly!!!!!
Kazeer [188]

Answer:

3:1

Step-by-step explanation:

If you look at the sides, they all have the same factor of three, and dividing by three gets you to the smaller rectangular prism.

6 0
3 years ago
A pair of parallel lines are cut by a transversal. Which of the following statements about the new angle pairs are now always tr
Hoochie [10]

Answer:

The true statements are:

* The Corresponding Angles Congruent ⇒ B

* Same Side Interior Angles are supplementary ⇒ C

* Alternate Interior Angles are congruent ⇒ F

Step-by-step explanation:

∵ Lines m and l are parallel

∵ Line t intersects them

∵ Corresponding angles are equal in measures

∴ ∠1 = ∠5 ⇒ corresponding angles

∴ ∠3 = ∠7 ⇒ corresponding angles

∴ ∠2 = ∠6 ⇒ corresponding angles

∴ ∠4 = ∠8 ⇒ corresponding angles

∵ The alternate interior angles are equal in measures

∴ ∠3 = ∠6 ⇒ alternate interior angles

∴ ∠4 = ∠5 ⇒ alternate interior angles

∵ The same side interior angles are supplementary

∴ m∠3 + m∠ 5 = 180° ⇒ same side interior angles

∴ ∠3 and ∠5 are interior supplementary angles

∴ m∠4 + m∠ 6 = 180° ⇒ same side interior angles

∴ ∠4 and ∠6 are interior supplementary angles

The true statements are:

* The Corresponding Angles Congruent ⇒ B

* Same Side Interior Angles are supplementary ⇒ C

* Alternate Interior Angles are congruent ⇒ F

6 0
2 years ago
Which statements about the relationship between the two triangles below are true? Check all that apply. Triangle A C D. Angle D
Karolina [17]

Answer:

Which statements about the relationship between the two triangles below are true

- Angle C is congruent to angle S (true)

- Angle D is congruent to angle T (true)

- Triangle D C A is similar to triangle T S R (true)

The rest are false.

Complete question;

Which statements about the relationship between the two triangles below are true? Check all that apply. Triangle A C D. Angle D is 60 degrees and angle A is 74.9 degrees. Triangle R S T. Angle R is 74.9 degrees and angle S is 45.1 degrees.

- Angle C is congruent to angle T

- Angle C is congruent to angle S

- Angle D is congruent to angle T

- Triangle D C A is congruent to triangle T S R

- Triangle D C A is similar to triangle T S R

- Triangle C A D is similar to triangle T R S

- Triangle C A D is congruent to triangle T R S

Step-by-step explanation:

See attached image for more information;

Angle C = 180 - (60+74.9) = 45.1°

Angle T = 180 - (74.9+45.1) = 60°

Therefore;

Angle C = Angle S = 45.1°

Angle D = Angle T = 60°

And

Triangle D C A is similar to triangle T S R

(Note the order of the letters)

The two triangles are not congruent because the length of their sides are not the same.

3 0
3 years ago
Mount Kilimanjaro is approximately 19,000 feet in height. as you go up in altitude through the atmosphere near earth surface the
horsena [70]

Answer:

10℉

Step-by-step explanation:

9,000 feet - 4000 feet  (because the camp is 4000 feet above sea level) = 5000 feet

for every 1000 ft you decrease by 3.6℉ therefore 5(3.6) = 18 degrees

when you get to the top it is -8℉ to find out the temp at base camp you just add 18 ℉ to the final tempreture

-8 +18 = 10℉

5 0
3 years ago
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