Determine the answer to (−3) + (−5) and explain the steps using a number line

Answer:

x=4 and y=3

Step-by-step explanation:

Ah Algebra...

2x-3y=-1

y=x-1

Let's solve your system by substitution.

2x−3y=−1; y=x−1

Rewrite equations:

y=x−1;2x−3y=−1

Step: Solve

y= x−1

Step: Substitute x−1 for y in 2x−3y=−1:

2x−3y=−1

2x−3(x−1)=−1

−x+3=−1(Simplify both sides of the equation)

−x+3+−3=−1+−3(Add -3 to both sides)

−x=−4−x−1=−4−1

(Divide both sides by -1)

x=4

Step: Substitute4forxiny=x−1:

y=x−1

y=4−1

y=3(Simplify both sides of the equation)

Answer:

x=4 and y=3

Hope this helps :)

Stay Cold,

Brook

Answer:

(4,3)

Step-by-step explanation:

Being that the y variable is isolated in the second equation, the other side of that equation can be substituted for y in the first equation.

\(2x - 3(x - 1) = - 1\)

Now simplify for x.

\(2x - 3x + 3 = - 1 \\ - x = - 4 \\ x = 4\)

Now with that, insert the x value in for x in the second equation.

\(y = (4) - 1 \\ y = 3\)

Now the correct answer is (4,3)

For given right triangles the value of a = 6√2 and b = 5/√3

In this question we have been given two right triangles.

In the first right triangle, we need to find the value of b.

Consider the tangent of angle 30°

tan(30°) = b/5

1/√3 = b/5

b = 5 × (1/√3)

b = 5/√3

In the second right triangle, we need to find the value of a.

This right triangle is isosceles right triangle.

So, the sides of right triangle are: a, 6, and 6

Using Pythagoras theorem,

a = √(6² + 6²)

a = √[2×(6²)]

a = 6√2

Therefore, for given right triangles the value of a = 6√2 and b = 5/√3

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Answer:

7/24

Step-by-step explanation:

The total amount of unshaded area of shape B is the sum of the areas of the unshaded regions of shapes A and B.

Unshaded area in A: 1 - 2/3 = 1/3

Unshaded area in C: 1 - 5/8 = 3/8

Sum of unshaded areas of A and B: 1/3 + 3/8 = 8/24 + 9/24 = 17/24

Shaded area of B: 1 - 17/24 = 24/24 - 17/24 = 7/24

The most common error when entering a formula is to reference the wrong cell in the formula.

This error occurs when the cell references within a formula do not match the intended cells. It can lead to incorrect calculations and produce unexpected results. For example, if a formula is supposed to use data from cell A1 but mistakenly refers to cell B1, the calculation will be based on the wrong data. It is important to double-check and ensure that the cell references in a formula accurately reflect the intended data sources to avoid this common mistake.

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The greatest integer solution = 0

|x| = greater integer function

i.e,. if |x| ≤ 2, then its range is -2≤ x ≤2

We have,

|-2x-5| - 3≤ 2

Now we have to find the value of x

|-2x-5|≤5

-5≤ -2x - 5≤ 5

0 ≤-2x ≤10

-10≤ 2x ≤0

-5≤ x ≤0

Therefore the value of x = -5, -4, -3, -2, -1, 0

so the greatest integer solution = 0

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The distance from the base of the ladder to the bottom of the house is 6 feet and the distance between the top of the ladder and the ground is 8 feet.

Length of the ladder = 10 ft

Let the distance between the base of the ladder and the bottom of the house = x

Then the distance between the top of the ladder and the ground = (x+2)

x and x+2 distance are perpendicular to each other and making a right-angle triangle with the ladder of length 10-ft.

By applying pythagoras theorem,

(10)² = (x)² + (x+2)²

100 = x²+x²+4+4x

2x² + 4x - 96=0

x² + 2x - 48 = 0

x² + (8x-6x) - 48=0

x(x+8) - 6(x+8)

(x-6)(x+8) = 0

x = 6, x = -8

Taking the positive value

x= 6 feet, and (x+2) = 8 feet

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Answer:

b is the required ans of Qust

Answer:

29

Step-by-step explanation:

Since the register contains only five dollar and ten dollar bills, we have to give an unknown to one of them. Hence we let ten dollar bills be X

if ten dollar bills are X then five dollar bills will be 2x. the summation of both of them is 580.

10X + 5(2x) = 580

20x = 580

X = 29

thus there are 29 ten's in the register

Answer:

-4/3

Step-by-step explanation:

-3 x (-2/3)²

= -3 x (4/9)

= -4/3

Answer:

-2

Step-by-step explanation:

Every point would flip over the y axis the same distance it is from the y axis now, but just on the other side of the y axis.

In the original equation, when y = 0, x is 2, so when we flip it over the y axis, it is now at -2 when y = 0.

Answer:

"27 and 1/2"

Step-by-step explanation:i got a 100% so im 100% sure this is right

Answer:

2

Step-by-step explanation:

Hey there!

The equation is asking us, c x c = 4

What is c?

Well the only number that is equal to 4 when you square it is 2

Hello there!

The GCF of 80 and 20 is 20.

Because both numbers are evenly divisible by 20; this is their greatest common factor (GCF)

Hope this helps you!

~Just a felicitous girlie

#HaveAnAwesomeDay

\(SilentNature\)

Answer:

you should post the problem and we can help you

The Volume formula of square pyramid is :

where V = volume

b = base length

h = height

From the problem,

V = 32 cubic feet

b = 4 feet

The height will be :

The answer is 6 feet

Answer:

1: 80% is 4/5 of the whole quantity

2: 1/5 is 20% of the whole quantity

3: 50% is 1/2 of the whole quantity

4: 1 is 100% of the whole quantity.

By using internal angles of the triangles and the definition of supplementary angles, the measure of the angle MNP is equal to 54°.

Herein we find a geometric system formed by two common semirrays with a common vertex at point N and a line segment MP such that triangle MPN is a right triangle. By Euclidean geometry we know that the sum of the measures in the internal angles equals 180°:

m ∠ NMP + m ∠ MNP + m ∠ MPN = 180°      (1)

And the two angles at point P are supplementary angles:

24 · x + m ∠ MPN = 180°      (2)

Then, by (1):

90° + 9 · x + m ∠ MPN = 180°

m ∠ MPN = 90° - 9 · x

By (1) in (2):

24 · x + 90° - 9 · x = 180°

15 · x = 90°

x = 6

Then, the measure of the angle MPN is equal to:

m ∠ MNP = 9 · x

m ∠ MNP = 9 · 6

m ∠ MNP = 54°

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Answer:

100%

glass.......x

ceramic....y

x:y = 2:3

x/y = 2/3

after the increase in both jars:

3x:ny = 1:1

3x/ny = 1

3/n × x/y = 1

3/n × 2/3 = 1

3/n = 3/2

n = 2

volume of vater in the ceramic (y) is two times larger than before

2y = y + y = y + 100%y

you increased one more time the original volume of water or 100% of the original volume

Given data:

The first number is 4/9.

The second number is 5/10.

The first number can be written as,

The second number can be written as,

Now compare both numbers as they have same denominator.

Thus, the < symbol must be used between both n

If the quadratic equation is 9x² + 36 + 85 = 0. The roots of the quadratic equation are ±2i and ±6i/3.

To solve the equation using the quadratic formula, we need to substitute the  values of a, b, and c in the quadratic formula which is

x = (-b ± √(b² - 4ac)) / 2a

The quadratic equation is 9x² + 36 + 85 = 0

In this equation,

a = 9, b = 0, and c = 121

Substitute these values in the quadratic formula and simplify to obtain the roots,

x = (-b ± √(b² - 4ac)) / 2a

=>  x = (-0 ± √(0² - 4(9)(121))) / 2(9)

=> x = (-0 ± √(0 - 4356)) / 18

=> x = (-0 ± √4356) / 18

The simplified form of the above expression is

x = ±6i / 3 or x = ±2i

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The area of given regular hexagon is  509.22   square units.

For the given polygon,

Number of sides = 6

Since we know that,

A regular hexagon is a polygon with six equal sides and six equal angles. All of the sides and angles of a regular polygon are equal. A regular pentagon, for example, has 5 equal sides, whereas a regular octagon has 8 equal sides. When such prerequisites are not satisfied, polygons can take on the appearance of a variety of irregular forms. When six equilateral triangles are placed side by side, a regular hexagon is formed. The area of the regular hexagon is thus six times the size of the identical triangle.

Therefore,

It is called regular hexagon.

Since we know that,

Area of regular hexagon = (3√3/2)a²

Here we have a = 14

Therefore,

Area of given hexagon = (3√3/2)14²

                                       = 509.22   square units.

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Answer:

7.5

Step-by-step explanation:

well 20 percent of 37.5 is 7.5

37.5-7.5 is 30 so the price after the discount is added is 30

Answer:

7.5

Step-by-step explanation:

You multiply 20 X 37.50 and get 750 then divide it by 100 and get 7.5 as the answer. :)

Answer:

Apx 7.79$

Step-by-step explanation:

Please brainliest

"If I miss a dose, I can take a double dose the next day to make up for it." This statement by the client reflects the need for further teaching.

Taking a double dose of warfarin sodium to make up for a missed dose is not appropriate and can lead to an increased risk of bleeding. It is important for the client to understand that consistency in taking the medication is crucial and any missed dose should be discussed with the healthcare provider.

Warfarin sodium is an anticoagulant medication used to prevent blood clots. It works by inhibiting the synthesis of certain clotting factors in the liver. It is important for clients taking warfarin to adhere to a consistent dosing schedule as prescribed by their healthcare provider. Missing a dose or taking an incorrect dose can disrupt the balance of anticoagulation in the body and increase the risk of bleeding or clotting.

Therefore, the client should be educated on the importance of taking the medication as prescribed and the potential risks associated with improper dosing.

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Answer:

x = 46

Step-by-step explanation:

Here, we want to get the value of the angle marked x

From the diagram given , the two angles that are other than x can be gotten from the value of their supplements

Angles on a straight line are supplementary as they add up to 180

Thus, mathematically;

(180-130) + (180-96) + x = 180

50 + 84 + x = 180

x = 180-50-84 = 46

Answer:

The density is 1.59 g/mL. Therefore, the substance will NOT float in water.

Step-by-step explanation:

The following data were obtained from the question:

Mass of empty flask = 245.8 g

Mass of flask + CCl₄ = 444.6 g

Volume of CCl₄ = 125 mL

Density of CCl₄ =?

Next, we shall determine the mass of carbon tetrachloride, CCl₄. This can be obtained as follow:

Mass of empty flask = 245.8 g

Mass of flask + CCl₄ = 444.6 g

Mass of CCl₄ =.?

Mass of CCl₄ = (Mass of flask + CCl₄) – (Mass of empty flask)

Mass of CCl₄ = 444.6 – 245.8

Mass of CCl₄ = 198.8 g

Finally, we shall determine the density of carbon tetrachloride, CCl₄ as follow:

Mass of CCl₄ = 198.8 g

Volume of CCl₄ = 125 mL

Density of CCl₄ =?

Density = mass / volume

Density of CCl₄ = 198.8 / 125

Density of CCl₄ = 1.59 g/mL

The density of water is 1 g/mL. Since the density of carbon tetrachloride, CCl₄ (i.e 1.59 g/mL) is bigger than that of water, the substance will not float in water.

The density of carbon tetrachloride is 1.59 grams per milliliter.

Given that an empty erlenmeyer flask that weighs 245.8 g is filled with 125 mL of carbon tetrachloride, and the weight of the flask and carbon tetrachloride is found to be 444.6 g, to determine the density of carbon tetrachloride the following calculation must be performed:

Subtract the weight of the empty flask from the weight of the full flask, and then divide this result by 125 (the milliliters of carbon tetrachloride).

Therefore, the density of carbon tetrachloride is 1.59 grams per milliliter.

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The region that lies inside the cylinder x2 1 y2 − 16 and between the planes z − 25 and z − 4  is  mathematically given as

\(\int\int \int_{E}^{2}+y^{2} \mathrm{dv}=384\pi\)

Generally, the equation for the volume integral: is  mathematically given as

\($\iiint_{E} \sqrt{x^{2}+y^{2}} \mathrm{dv}$\)

where

$E$ is the region within the cylinder

x^{2}+y^{2}=16 between the planes z=-5 and z=4.

These cylindrical coordinates will be used for the volume integral calculation that has to be done. The difference in volume when using cylindrical coordinates is calculated as follows:

\(\mathrm{dv} = {rdzdrd} \theta\).

The z limits are given as  -5 <= z <= 4. With cylindrical coordinates, we have:

\(x^{2}+y^{2}=r^{2} 0 \leq x^{2}+y^{2}=r^{2} \leq 16 > 0 \leq r \leq 4.\)

The theta limits are :

\($0 \leq \theta \leq 2 \pi$\).

We have \(x^{2}+y^{2}=r^{2} \Rightarrow$ $\sqrt{x^{2}+y^{2}}= r\)

The volume integral is what we have next.

\(\sqrt{x^{2}+y^{2}}=r\)

We then have the volume integral is:

\(&\iiint_{E} \sqrt{x^{2}+y^{2}} \mathrm{dv}= \\\\\&\int_{\theta=0}^{2 \pi} \int_{r-0}^{4} \int_{z--5}^{4} r(r \mathrm{~d} z \mathrm{~d} r \mathrm{~d} \theta) \\\\\&=\int_{0}^{2 \pi} \int_{0}^{4} \int_{-5}^{4} r^{2} \mathrm{~d} z \mathrm{~d} r \mathrm{~d} \theta \\\\&=\int_{0}^{2 \pi} \int_{0}^{4} r^{2}(z)_{-5}^{4} \mathrm{~d} r \mathrm{~d} \theta \\\\\)

\(&=\int_{0}^{2 \pi} \int_{0}^{4} r^{2}(4--5) \mathrm{d} r \mathrm{~d} \theta \\\\&=\int_{0}^{2 \pi} \int_{0}^{4} 9 r^{2} \mathrm{~d} r \mathrm{~d} \theta \\\\&=\int_{0}^{2 \pi}\left(3 r^{3}\right)_{0}^{4} \mathrm{~d} \theta \\\\&=\int_{0}^{2 \pi} 3\left(4^{3}-0\right. \\&=\int_{0}^{2 \pi} 3(64) \mathrm{d} \theta \\\\ =192 \int_{0}^{2 \pi} d \theta \\\\\ =192(\theta)_{0}^{2 \pi} \theta\)

\(\int\int \int_{E}^{2}+y^{2} \mathrm{dv}=384\pi\)

In conclusion,   the region that lies inside the cylinder  is

\(\int\int \int_{E}^{2}+y^{2} \mathrm{dv}=384\pi\)

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Complete Question

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