I'm bad at word problems. Natasha had 7/8 gallon of paint. her brother ivan took 1/4 gallon to paint his model boat. natasha needs at least 1/2 gallon to paint her bookshelf. did ivan leave her enough paint? ...?

Answer:

Addition

Step-by-step explanation:

USA Testprep

Answer:

0^2 (–1)2 = 1.

Step-by-step explanation:

Answer:

$0.04 per $1

Step-by-step explanation:

If you pay $1.36 for $34, then the tax rate is 1.36/34=0.04

That's for each dollar value of an item, you pay $0.04

Markup = $105.55 - $75 = $30.55. Percentage markup based on selling price = $30.55 / $105.55 * 100% = 28.94%

Camille's percent of markup based on the selling price is calculated by finding the difference between the selling price and the cost price, dividing by the selling price, and then multiplying by 100. The calculation reveals that the markup percentage is approximately 28.94%.

The question asks us to calculate Camille Keegan's percentage of markup based on the selling price of the lamps. The markup is the difference between the selling price and the cost price. To find the percentage of markup based on the selling price, we use the formula: (Markup / Selling Price) × 100. First, we find the markup by subtracting the cost price from the selling price, which is $105.55 - $75.00 = $30.55. Then we divide the markup by the selling price: $30.55 / $105.55. Finally, we multiply the result by 100 to get the percentage of markup based on the selling price.

Step-by-step calculation:

Therefore, Camille's percent of markup based on the selling price of the lamps is approximately 28.94%.

Let

y------> one number

x-----> another number

we know that

[tex]y=2x-3[/tex] ------> equation A

[tex]x+y=39[/tex] ------> equation B

substitute equation A in equation B

[tex]x+[2x-3]=39[/tex]

[tex]3x=39+3[/tex]

[tex]x=42/3=14[/tex]

Find the value of y

[tex]y=2*14-3=25[/tex]

the numbers are [tex]25[/tex] and [tex]14[/tex]

therefore

the answer is the option B

[tex]y=2x-3[/tex] and [tex]x+y=39[/tex]

Final answer:

To rewrite expressions using only sin x and cos x, we can use trigonometric identities like [tex]cos 2x = 1 - 2sin^2 x[/tex] and sin 2x = 2sin x cos x. By applying these identities, we can simplify the given expressions.

Explanation:

To rewrite the given expressions using only sin x and cos x, we can use the following trigonometric identities:

Using these identities, we can rewrite the expressions as follows:

There are 4000 grams in 40 hectograms.

To convert from hectograms to grams, you need to know that there are 100 grams in 1 hectogram.

Therefore, to find out how many grams are in 40 hectograms, you can use the conversion factor:

40 hectograms * 100 grams/hectogram = 4000 grams

So, there are 4000 grams in 40 hectograms.

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Answer:

The answer is :  

2 and 1

Step-by-step explanation:

The GCF means greatest common factor between given numbers.

The GCF of the numbers in the expression (32 + 16) is 16.

Factor each with a common factor of 16:  

[tex](16\times2+16\times1)[/tex]

After factoring out 16, we have:  

[tex]16(2+1)[/tex]

So the answer is :  

2 and 1

Answer:

Actually the answer is 56, so D.

Step-by-step explanation:

To the nearest whole unit, the length of CD is approximately 4 units.

Given Information:

In triangle ABD, BC is an altitude (perpendicular) from point B to side AD.

We need to find the length of CD.

Approach:

Since BC is an altitude, triangle BCD is a right triangle with BC as one of its legs and BD as its hypotenuse.

We can use the Pythagorean theorem to relate the lengths of BC, CD, and BD.

Pythagorean Theorem: The Pythagorean theorem states that in a right triangle:[tex][ \text{Hypotenuse}^2 = \text{Leg}_1^2 + \text{Leg}_2^2 ][/tex]

Application to Triangle BCD:

Let’s denote the length of CD as (x).

BC is given as 30 units.

BD can be expressed as (BD = AB + AD), where AB is the length of the other leg.

Using Triangle ABC:

Triangle ABC is also a right triangle.

We have AC = 16 units (given).

Using the Pythagorean theorem for triangle ABC: [tex][ AB^2 + BC^2 = AC^2 \ AB^2 + 30^2 = 16^2 \ AB^2 + 900 = 256 \ AB^2 = 256 - 900 \ AB^2 = -644 ][/tex]

Since we cannot have a negative side length, we discard this solution.

Using Similar Triangles:

Notice that triangle BCD is mathematically similar to triangle ACE.

The coefficient of similarity is evident from the side CE.

We can set up the following proportion: [tex][ \frac{BC}{CD} = \frac{AC}{CE} \ \frac{30}{x} = \frac{16}{CE} \ CE = \frac{16x}{30} ][/tex]

Finding BD:

We know that (BD = AB + AD).

Since we couldn’t find AB directly, we express it in terms of CE:[tex][ AB = AC - CE = 16 - \frac{16x}{30} = \frac{480 - 16x}{30} ][/tex]

Now, we can find BD: [tex][ BD = AB + AD = \frac{480 - 16x}{30} + 16 = \frac{480 + 480 - 16x}{30} = \frac{960 - 16x}{30} ][/tex]

Applying the Pythagorean Theorem to Triangle BCD: [tex][ BD^2 = BC^2 + CD^2 \ \left(\frac{960 - 16x}{30}\right)^2 = 30^2 + x^2 \ 960^2 - 32x \cdot 960 + 256x^2 = 900x^2 + 900 \cdot 30^2 \ 960^2 - 32x \cdot 960 = 900x^2 - 900 \cdot 30^2 \ 960^2 + 900 \cdot 30^2 = 932x^2 \ x^2 = \frac{960^2 + 900 \cdot 30^2}{932} \ x \approx 3.75 ][/tex]

To the nearest whole unit, the length of CD is approximately 4 units.

Answer:5 17/23

Step-by-step explanation:

The ordered pair for an x-intercept has an x-value of 0 has some value of x and it has zero value for y, So it is a False statement.

The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.

Given statement,

the ordered pair for an x-intercept has an x-value of 0

we can see in graph that when line intersect the x axis, the x coordinate of that point is known as x-intercept,

suppose, we have one line , y = 3x+3

so when we draw graph for it,

and if we see x-intercept

it will come out as,   0 = 3x+3 ⇒ x = -1

It is clear that value of x is not zero

hence, the given statement is false

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Answer:

The other answer is wrong, actually

Step-by-step explanation:

The real answer is B, He left out the place holder under the 4.

Jared did not multiply incorrectly.

Answer:

x=12, y=14

Step-by-step explanation:

[tex]2x - y = 10[/tex]

Solve the equation for y. Subtract 2x from both sides

[tex]- y = -2x+10[/tex]

Divide both sides by -1

[tex]y=2x-10[/tex]

Substitute 2x-10 for y in the second equation

[tex]3x - 2(2x-10)= 8[/tex]

[tex]3x - 4x+20= 8[/tex]

[tex]-1x+20= 8[/tex]

Subtract 20 from both sides

[tex]-1x= -12[/tex]

Divide both sides by -1

x= 12

[tex]y=2x-10[/tex]

Substitute 12 for x

[tex]y=2(12)-10=14[/tex]

y=14

Answer:

i^9 = i

Step-by-step explanation:

Final answer:

A cubic equation can have either three real or three complex roots (including a real root and a pair of complex conjugate roots), determined by its discriminant. Complex roots arise in pairs due to the conjugate root theorem, ensuring that the coefficients of the equation remain real.

Explanation:

A cubic equation, which is an equation of the form ax^3 + bx^2 + cx + d = 0, can indeed have 3 complex roots or 3 real roots, depending on the discriminant and the nature of the coefficients. According to the Fundamental Theorem of Algebra, every cubic equation has three roots in the complex number system, which includes real numbers as a subset.

If the discriminant is positive, the cubic equation has three distinct real roots. If the discriminant is zero, the equation has a multiple root and all its roots are real.

Equilibrium problems in mathematics may require using cube roots when finding the solution, and utilizing the correct functions on a calculator is vital for these calculations. This could be in applied sciences like chemistry or physics, where cubic equations may arise.

To find the slope of the equation modeling Eric's situation, subtract the total cost from the selling price per shirt, resulting in a loss of $106 per shirt sold.

The slope of the equation modeling Eric's situation can be calculated as follows:

The slope, which represents the profit per shirt, is -$106, indicating a loss of $106 for each shirt sold.