Solve -16x = -80.
-5
5
-96
-64
Will mark as brainliest

Answer:

x-15

y 42

Step-by-step explanation:

Answer:

Step-by-step explanation:

-2 + 2s = - 3s + 8

-2 - 8 = - 3s - 2s

-10 = - 5s

-10/-5 = s

2 = s

Answer:

2

Step-by-step explanation:

-2+2s=-3s+8

-2+2s-(-3s)=8

-2+2s+3s=8

-2+5s=8

5s=8-(-2)

5s=8+2

5s=10

s=10/5

s=2

Answer:  76 Sodas and 40 hot dogs

Step-by-step explanation:

Let S and H represent the numbers of Sodas and Hot dogs.

We are told that:

S + H = 116

We also see that:

H = S - 36

==

Take the second equation's value for H (S - 36) and use it in the first:

S + H = 116

S + (S-36) = 116

2S = 152

S = 76

and therefore H = S - 36, or 40.

76 + 40 = 116  [Checks]

76 Sodas and 40 hot dogs

Answer:

3.75

Step-by-step explanation:

Multiply 3 by 4 to get 12 and add it to 3 to get 15/4 and then divide those values to get 3.75

Answer:

commutative property of multiplication

Step-by-step explanation:

The value of the product of the given equation remain the same while the order is reversed

The number sequence 4 × 6 = 6 × 4 is an example of the commutative property of multiplication

Reason:

The given number sentence is 4 × 6 = 6 × 4

Required: The property the number sentence is an example of (represent)

Solution:

The difference between the left and right expression is that the order of the

values being multiplied is changed or reversed (commute)

Therefore, the number sentence states that the value of the multiplication

of two variables remain equal when the places of variables are

interchanged as follows; a × b = b × a

a × b = b × a is an example of commutative property of multiplication

Therefore;

4 × 6 = 6 × 4 is an example of the commutative property of multiplication

Answer: $51.48

Step-by-step explanation:

If a $52 item is marked up by 10%, its new price will be:

$52 + 10% of $52 = $52 + $5.20 = $57.20

Then, if this new price is marked down by 10%, the final price will be:

$57.20 - 10% of $57.20 = $57.20 - $5.72 = $51.48

Therefore, the final price of the item after the markup and markdown is $51.48.

Answer:

\(\dfrac{c}{2}\)

Step-by-step explanation:

We can simplify the given expression by canceling like terms.

Remember that anything divided by itself is 1.

ex:

\(\dfrac{2x}{x} = 2 \cdot \dfrac{x}{x} = 2 \cdot 1 = 2\)

Applying this logic to the given expression:

\(\dfrac{a}{2b} \cdot \dfrac{bc}{a}\)

↓ simplify multiplication of fractions

\(\dfrac{a \cdot bc}{2b \cdot a}\)

↓ rewrite to align like variables

\(\dfrac{a \cdot b \cdot c}{a \cdot b \cdot 2}\)

↓ separate out variables that are divided by each other

\(\dfrac{a}{a} \cdot \dfrac{b}{b} \cdot \dfrac{c}{2}\)

↓ represent them as 1

\(1 \cdot 1 \cdot \dfrac{c}{2}\)

↓ rewrite without unnecessary 1's

\(\dfrac{c}{2}\)

Answer:

k=30

Step-by-step explanation:

The number of mice vary inversely with cats. This is written as:

\(Mice \propto \dfrac{1}{Cat} \\Mice = \dfrac{k}{Cat}\)

When there are 3r-19 cats, there are 2r+1 mice

\(2r+1 = \dfrac{k}{3r-19}\\$Cross multiply$\\k=(3r-19)(2r+1)\)

When there are 6r-27 mice, there are r-5 cats.

\(6r-27 = \dfrac{k}{r-5}\\$Cross multiply$\\k=(6r-27)(r-5)\)

Taking the values of k above, we have:

\(k=(3r-19)(2r+1) =(6r-27)(r-5)\\(3r-19)(2r+1) =(6r-27)(r-5)\\6r^2+3r-38r-19=6r^2-30r-27r+135\\$Collect like terms\\6r^2-6r^2+3r+30r-38r+27r-19-135=0\\22r-154=0\\22r=154\\$Divide both sides by 22\\r=7\)

Therefore:

\(k=(3r-19)(2r+1) \\=(3*7-19)(2*7+1)\\=(21-19)(14+1)\\=2*15\\k=30\)

The relationship between ∠1 and ∠12 is that they are corresponding angles and their measures are equal.

In geometry, angles are measured in degrees and can provide insights into the relationships between lines, shapes, and spatial configurations. When considering the pair of angles ∠1 and ∠12, we aim to determine the relationship between these two angles.

∠1 and ∠12 are **corresponding angles**. Corresponding angles are formed when a transversal intersects two parallel lines. In this case, ∠1 and ∠12 are formed by the transversal intersecting two parallel lines, resulting in a specific geometric configuration.

Corresponding angles are positioned in the same relative locations with respect to the intersected lines. In other words, ∠1 and ∠12 are both located on the same side of the transversal, with one angle being interior and the other exterior.

The relationship between corresponding angles is that they are congruent, meaning they have the same measure. Therefore, ∠1 and ∠12 have equal measures, or in other words, ∠1 ≅ ∠12.

This relationship can be explained using the properties of parallel lines and transversals. When a transversal intersects two parallel lines, it creates several pairs of corresponding angles. These angles have the same relative positioning and therefore have equal measures.

It is important to note that the congruence of ∠1 and ∠12 is dependent on the fact that the lines being intersected by the transversal are parallel. If the lines were not parallel, the angles formed by the transversal would not be corresponding angles, and their measures would not be equal.

To summarize, ∠1 and ∠12 are corresponding angles formed by a transversal intersecting two parallel lines. Corresponding angles are congruent, meaning that ∠1 and ∠12 have equal measures. The congruence of corresponding angles is a result of the parallel lines and the geometric properties associated with the formation of these angles.

In conclusion, the relationship between ∠1 and ∠12 is that they are corresponding angles and their measures are equal.

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Answer:

SRT

Step-by-step explanation:

Answer:

obtuse angle

Step-by-step explanation:

a L is a right angle, a right angle is 90 degrees.  if the angle is more then 90 degrees and looks like its being stretched it is obtuse. and if it is smaller then 90% and looks like it is being squashed it an acute angle.

Answer:

2

Step-by-step explanation:

Answer:

I think its 2

Step-by-step explanation:

If Jhonny has one apple and Jill gives him another, he will have 2 apples!

Hope I helped ;)

Solution

- The formula for the vertex form of a quadratic equation is given below:

- The vertex of the quadratic equation is depicted below:

- Thus, the vertex of the quadratic graph is V(2, -2).

- The equation of the graph becomes:

- To find the value of "a", we apply the coordinate given (-1, 6). This is done below:

Final answer

The equation is:

If Ethan watches fewer than 6 movies per month, Plan A would be more expensive. If he watches more than 6 movies per month, Plan B would be more expensive.

For Plan A, the monthly cost is composed of a fixed fee of $28 plus a variable fee of $2.50 per movie watched. So, if Ethan watches x movies per month, the monthly cost for Plan A can be represented by the equation:

A = 28 + 2.5x

Here, A represents the monthly cost of Plan A, and x represents the number of movies Ethan watches per month.

For Plan B, the monthly cost is also composed of a fixed fee of $37, but the variable fee per movie watched is only $1. So, if Ethan watches x movies per month, the monthly cost for Plan B can be represented by the equation:

B = 37 + 1x

Again, B represents the monthly cost of Plan B, and x represents the number of movies Ethan watches per month.

To find the number of monthly movies watched, x, that would make the two plans have an equal monthly cost, we need to solve the equation:

A = B

So, we can substitute the equations for A and B to get:

28 + 2.5x = 37 + 1x

Now we can solve for x:

2.5x - 1x = 37 - 28

1.5x = 9

x = 6

So, if Ethan watches 6 movies per month, the monthly cost of Plan A and Plan B would be equal, at $41 per month.

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The quantity of vegetables Alex bought is; 32/15 pounds of vegetables

According to the question;

Hence; Amy bought; 16/5 pounds of vegetables.

Hence, the quantity of vegetables Alex bought is;

Alex = 32/15 pounds of vegetables

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To find the maximum area of the lawn that can be watered by the sprinkler, we can use the formula for the area of a circle:

A = πr^2

Given that the radius of the sprinkler's spray is 22ft, we can substitute this value into the formula:

A = 3.14 * (22)^2

A ≈ 3.14 * 484

A ≈ 1519.76

Rounded to the nearest tenth, the maximum area of the lawn that can be watered by the sprinkler is approximately 1519.8 ft^2.\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)

The value of y that satisfies the equation is 3.35 or - 5.35.

The value of y that satisfies the equation is calculated as follows;

The given equation;

√ (y + 3) + √ ( y - 2) = 5

Square both sides of the equations as follows;

[√ (y + 3) + √ ( y - 2) ]² = 5²

y + 3 + 2(y + 3)(y - 2) + y - 2 = 25

2y + 1   +   2(y² + y - 6) = 25

2y + 1 + 2y² + 2y - 12 = 25

Collect similar terms and simplify the equation;

2y²  +  4y - 36 = 0

divide through by 2;

y² + 2y - 18 = 0

Solve the quadratic equation using formula method as follows;

a = 1, b = 2, c = -18

y = 3.35 or - 5.35

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Answer:

Explanation:

The given angle:

For an angle in standard position on the unit circle, the location of the terminal point will be:

Answer:the cone is 9 cm

Step-by-step explanation:

Let h be the height of the cone.

Diameter = 8 cm

Radius = 4 cm

Volume = 48π cm3

31​π×(4)2×h=48π

Answer:

9cm

Step-by-step explanation:

Answer:

~ 88 in

Step-by-step explanation:

Formula for circumference of a circle is: 2*pi*r

r = 14 in

Substituting that we get:

C = 2 * PI *  R

   =  2 * PI * 14

   =  87.964 594 300 5 in

~ 88 in

Answer:  -29.3

Step-by-step explanation:  -7y + 2x

-7(-6.3) + 2(-7.4) = -29.3

Answer: y = 1/4x -2.

Step-by-step explanation: The formula for these types of equations is y = mx + b, where m is the slope and b is the y-intercept.  The slope, in this case, is 1/4 and the y-intercept is -2.  The equation of the line for this problem is y = 1/4x - 2.

Hope this helps! :)

Answer:

-1/4

Step-by-step explanation:

Slope = y/x - y1/x1

=> -7/7 - (-3/-9)

=> -7 +3 / 7+9

=> -4/16

=> -1/4

The slope for the given coordinates of points is -1/4.

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.

The negative slope indicates the rate of decrease while the positive shows the rate of increase.

The given points are (-9, -3) and (7,-7).

The general expression to find the slope for two points (x₁, y₁) and (x₂, y₂) is given as,

m = (y₁ - y₂)/(x₁ - x₂)

Plug (x₁, y₁) = (-9, -3) and (x₂, y₂) = (7, -7) to get,

⇒ m = (-3 + 7)/(-9 - 7)

⇒ -1/4

Hence, the slope is obtained as -1/4.

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The value of the t score for a 95% confidence interval for degree of freedom 16 will be 2.120.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The confidence interval = 95%

And, Size of sample = 17

Now,

Since, The confidence interval = 95%

And, Size of sample (n) = 17

Hence, The degree of freedom (n - 1) = 16

Thus, The value of the t score for a 95% confidence interval for degree of freedom 16 will be 2.120.

Therefore, The value of the t score for a 95% confidence interval for degree of freedom 16 will be 2.120.

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Answer:

MN ≈ 92.1

Step-by-step explanation:

given the figures are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{MN}{IJ}\) = \(\frac{KL}{GH}\) ( substitute values )

\(\frac{MN}{21}\) = \(\frac{57}{13}\) ( cross- multiply )

13 MN = 21 × 57 = 1197 ( divide both sides by 13 )

MN ≈ 92.1 ( to the nearest tenth )

The statement "x ∈ {x}" is true. The statement "{x} ⊆ {x}" is true. The statement "{x} ∈ {x}" is false. The statement "{x} ∈ {{x}}" is true.

a) The statement is true because an element x can be a member of a set that contains only itself. In this case, the set {x} contains the element x.

b) The statement is true because every element in {x} is also in {x}. Since both sets are identical, {x} is a subset of itself.

c) The statement is false because a set cannot be an element of itself. In this case, {x} is a set, and it cannot be an element of the same set.

d) The statement is true because the set {{x}} contains the set {x} as its only element. Therefore, {x} is an element of the set {{x}}.

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The population mean (μ) is 257 and the population standard deviation (σ) is 71.145. The sampling distribution is unbiased.

To find the parameters (μ and σ) for the finite population of units of canned goods sold, we calculate the mean and standard deviation of the given data: 249, 300, 158, 249, and 329.

The population mean (μ) is obtained by summing up the values and dividing by the total number of units, which gives (249 + 300 + 158 + 249 + 329) / 5 = 257.

To calculate the population standard deviation (σ), we use the formula that involves finding the deviations of each value from the mean, squaring them, summing them, dividing by the total number of units, and taking the square root. After performing the calculations, we obtain a standard deviation of 71.145.

For the sampling distribution of the sample means with a sample size of 2 and replacement, we take all possible samples of size 2 from the given population and calculate the mean for each sample.

To show that the sampling distribution of the sample means is an unbiased estimator of the population mean, we need to demonstrate that the mean of all sample means is equal to the population mean. By calculating the mean of all possible sample means, we can confirm that it equals the population mean, thus verifying the unbiasedness of the estimator.

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There is sufficient evidence that the valve performs above the specifications.

Null Hypothesis (H0): The mean pressure of the valve is equal to 5.3 lbs/square inch

Alternative Hypothesis (H1): The mean pressure of the valve is greater than 5.3 lbs/square inch

To test whether the valve performs above the specifications, a hypothesis test can be used. The test statistic used will be a t-test since the sample size is below 30. The critical value at the 0.05 level is 1.645. The formula for the t-test is: t = (X-μ)/(s/√n) , where X is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the known values, the t-test is calculated as: t = (5.5-5.3)/(0.7/√100) = 2.571. Since this value is greater than the critical value at the 0.05 level (1.645), we can reject the null hypothesis and conclude that there is sufficient evidence that the valve performs above the specifications.

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Answer:

3 with the 6 on top

Step-by-step explanation:

The farming conglomerate will use approximately 36,912.51 megaliters of water 5 years from now.

To calculate the amount of water the farming conglomerate will use 5 years from now, we can use the given information that its water usage increases at a rate of 7% every year.

Let's denote the current water usage as W₀ and the water usage after 5 years as W₅.

We know that W₅ = W₀ * (1 + r)^n, where r is the growth rate (in decimal form) and n is the number of years.

In this case, W₀ = 28,390 megaliters, r = 7% = 0.07, and n = 5.

Substituting these values into the formula, we have:

W₅ = 28,390 * (1 + 0.07)^5

Calculating this expression, we get:

W₅ ≈ 28,390 * (1.07)^5 ≈ 36,912.51 megaliters

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Answer:

r=-7

Step-by-step explanation:

\(15r - 11r = - 20 - 8\)

\(4r = - 28\)

\(r = - 28 \div 4 = - 7\)

Answer:

r= -7

Step-by-step explanation:

15r+8=11r-20 (minus 11r from both sides)

4r+8=-20 (minus 8 from both sides)

4r = -28 (divide both sides by 4)

r= -7