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Dmitriy789 [7]
3 years ago
9

The price of a sweater is $5 less than twice the price of a shirt. if four shirts and three sweaters cost $275, find the price o

f each shirt and each sweater.
Mathematics
1 answer:
Naily [24]3 years ago
5 0
The price of each shirt is $29 and the price of each sweater is $53 :)
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Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.5 gallons of fuel. A warning light comes on when the remain
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His father can drive 25 days without the warning light
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2 years ago
Leo and her on spent 3/4 hour shopping 5/6 hour preparing the pizzas and 11/12 hour cleaning up after the party how many minutes
Aneli [31]

Answer:

150 minutes

Step-by-step explanation:

First we have to express all these fractions of an hour in minutes, then add them and get the total of minutes.

To pass these numbers in hours to minutes, we only have to multiply by 60 because one hour has 60 minutes.

3/4 h =

3/4 * 60 = 45m

5/6 h =

5/6 * 60 = 50m

11/12 h =

11/12 * 60 = 55m

to calculate the total number of minutes we have to add the 3 values ​​that we have

45m + 50m + 55m = 150m

8 0
3 years ago
What is the temperature increase in degrees Fahrenheit that is equivalent to a temperature increase of 10 degrees Celsius?
bogdanovich [222]

Answer:

18 degrees Fahrenheit

Step-by-step explanation:

7 0
3 years ago
MAT 171
steposvetlana [31]

Using the Factor Theorem, the polynomials are given as follows:

1. P(x) = x^5 + 2x^4 - 7x^3 + x^2

2. P(x) = 0.8(x^4 - 4x^3 - 16x^2 + 64x)

3. P(x) = -0.1(x³ - 4x² - 3x + 18)

<h3>What is the Factor Theorem?</h3>

The Factor Theorem states that a polynomial function with roots x_1, x_2, \codts, x_n is given by:

f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)

In which a is the leading coefficient.

Item a:

The parameters are:

a = 1, x_1 = x_2 = 1, x_3 = x_4 = 0, x_5 = -4

Hence the equation is:

P(x) = (x - 1)²x²(x + 4)

P(x) = (x² - 2x + 1)(x + 4)x²

P(x) = (x³ + 2x² - 7x + 1)x²

P(x) = x^5 + 2x^4 - 7x^3 + x^2

Item b:

The roots are:

x_1 = x_2 = 4, x_3 = 0, x_4 = -4

Hence:

P(x) = a(x - 4)²x(x + 4)

P(x) = a(x² - 16)x(x - 4)

P(x) = a(x³ - 16x)(x - 4)

P(x) = a(x^4 - 4x^3 - 16x^2 + 64x)

It passes through the point x = 5, P(x) = 36, hence:

45a = 36.

a = 4/5

a = 0.8

Hence:

P(x) = 0.8(x^4 - 4x^3 - 16x^2 + 64x)

Item 3:

The roots are:

x_1 = x_2 = 3, x_3 = -2

Hence:

P(x) = a(x - 3)²(x + 2)

P(x) = a(x² - 6x + 9)(x + 2)

P(x) = a(x³ - 4x² - 3x + 18)

For the y-intercept, x = 0, y = -1.8, hence:

18a = -1.8 -> a = -0.1

Thus the function is:

P(x) = -0.1(x³ - 4x² - 3x + 18)

More can be learned about the Factor Theorem at brainly.com/question/24380382

#SPJ1

5 0
2 years ago
Solve<br> Four times the sum of 6 and some number is 32. What is the number?
snow_tiger [21]

Answer:

Thus, the value of x is 1.

Step-by-step explanation:

4(2x+6)=32

8x+24 =32

8x =32-24

8x =8

x =8÷8

x =1

3 0
3 years ago
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