1 more than product of a number and -8

Answer: l = 7.2

Step-by-step explanation:

90/12.5 = 7.2

7.2 * 12.5 = 90

Answer:

length of the rectangle is 7.2 centimeters.

Step-by-step explanation:

Area of the rectangle has been given as 90 square centimeters.

Height of the rectangle = 12.5 centimeters

Now we have to calculate the length of the rectangle.

Since, Area of the rectangle = Length × height

90 = 12.5 × length

Length = [tex]\frac{90}{12.5}[/tex]

           = 7.2 centimeters

Therefore, length of the rectangle is 7.2 centimeters.

Answer:

m∠y=50°

m∠x=50°

Step-by-step explanation:

we know that

The angles in matching corners are called corresponding angles. When the two lines are parallel Corresponding Angles are equal

so

m∠y=50° -----> by corresponding angles

and

The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. When the lines are parallel, the alternate interior angles are equal.

so

m∠x=m∠y -----> by alternate interior angles

so

m∠x=50°

therefore

m∠y=50°

m∠x=50°

The developer would earn $50.00 if 20 apps are downloaded. Similarly, they can calculate earnings for any other number of app downloads using this equation.

To represent the proportional relationship between the total earnings (y) and the number of apps downloaded (x), we can use the formula for direct variation, which is:

[tex]\[ y = kx \][/tex]

Where:

- [tex]\( y \)[/tex] represents the total earnings,

- [tex]\( x \)[/tex] represents the number of apps downloaded, and

- [tex]\( k \)[/tex] is the constant of proportionality.

In this scenario, the app developer earns $20.00 for every 8 apps downloaded. This means that for every 8 apps downloaded, the earnings increase by $20.00. So, the constant of proportionality [tex](\( k \))[/tex] is the rate at which earnings increase per app downloaded.

To find the value of [tex]\( k \)[/tex], we can divide the total earnings by the number of apps downloaded:

[tex]\[ k = \frac{y}{x} \][/tex]

Given that the developer earns $20.00 for every 8 apps downloaded, we can substitute these values into the equation:

[tex]\[ k = \frac{20}{8} \][/tex]

[tex]\[ k = 2.5 \][/tex]

Now that we have the value of [tex]\( k \)[/tex], we can rewrite the equation with this value:

[tex]\[ y = 2.5x \][/tex]

This equation represents the proportional relationship between the total earnings [tex](\( y \))[/tex] and the number of apps downloaded [tex](\( x \))[/tex]. It shows that for every additional app downloaded, the total earnings increase by $2.50, maintaining a consistent rate of increase.

This equation allows the app developer to predict their earnings based on the number of apps downloaded. For example, if 20 apps are downloaded, the total earnings can be calculated as:

[tex]\[ y = 2.5 \times 20 = 50 \][/tex]

So, the developer would earn $50.00 if 20 apps are downloaded. Similarly, they can calculate earnings for any other number of app downloads using this equation.

3/15 is equivalent to 4/20

Answer:

x = - 2, x = 4

Step-by-step explanation:

Given

f(x) = (x - 4)(x + 2)

To find the x- intercepts let f(x) = 0, that is

(x - 4)(x + 2) = 0 ← in standard form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4 → (4, 0 )

x + 2 = 0 ⇒ x = - 2 → (- 2, 0 )

Answer:  Commutative Property of Multiplication

Step-by-step explanation:

Commutative property is when two terms trade places.

(a · 3) × b = b × (a · 3)

Notice that (a · 3) switched places with b

Answer: 3.5−2.5n

Explanation:

To find the common difference take the end term and subtract the first term:

8.5 -11 = -2.5

Take the third term and subtract the 3rd term to verify:

6-8.5 = -2.5  check

The formula for an arithmetic sequence is:

an = a1+d(n-1)

an = 11 -2.5(n-1)

Distribute:

an = 11 -2.5n+2.5

Combine terms:

answer = 13.5 - 2.5n

Explanation: Tread more on Brainly.com - https://brainly.com/question/13244259#read more find the common difference take the end term and subtract the first term:8.5 -11 = -2.5Take the third term and subtract the 3rd term to verify:6-8.5 = -2.5  check The formula for an arithmetic sequence is: an = a1+d(n-1)an = 11 -2.5(n-1)Distribute: an = 11 -2.5n+2.5Combine terms: answer = 13.5 - 2.5nAnswer:

Answer: 3.5−2.5n

Answer:

11

Step-by-step explanation:

90=79+x

-79-79

_________

11=x

Answer:

55°

Step-by-step explanation:

Draw the diagram according to the given data (see attached diagram).

In this diagram,

Note that ∠GCH=35°

Angles GCH and CDI are corresponding angles. By corresponding angles postulate, angles GCH and CDI are congruent.

Angles CDI and BDE are vertical angles, so angles  CDI and BDE are congruent as vertical angles.

Consider right triangle BDE. The sum of two acute angles of the right triangle is 90°, so

m∠BED=90°-m∠BDE

m∠BED=90°-35°=55°

[tex]\boxed{(x+6)^2+(y+2)^2=72}[/tex]

The center-radius form of the circle equation is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Here we know that the y-intercepts are:

[tex]y=4 \ and \ y=-8[/tex]

So:

[tex]\bullet \ If \ y=4, \ x=0 \\ \\ \\ (0-h)^2+(4-k)^2=r^2 \\ \\ \therefore \mathbf{(I)} \ h^2+16-8k+k^2=r^2 \\ \\ \\ \bullet \ If \ y=-8, \ x=0 \\ \\ \\ (0-h)^2+(-8-k)^2=r^2 \\ \\ \therefore \mathbf{(II)} \ h^2+64+16k+k^2=r^2 \\ \\ \\ \bullet \ If \ x=-12, \ y=-8 \\ \\ \\ (-12-h)^2+(-8-k)^2=r^2 \\ \\ \therefore 144+24h+h^2+64+16k+k^2=r^2 \\ \\ \therefore \mathbf{(III)} \ h^2+208+16k+24h+k^2=r^2[/tex]

So we have the following system of equations:

[tex]\left\{ \begin{array}{c}(I)\:h^{2}+16-8k+k^{2}=r^{2}\\(II)\:h^{2}+64+16k+k^{2}=r^{2}\\(III)\:h^{2}+208+16k+24h+k^{2}=r^{2}\end{array}\right.[/tex]

[tex]Subtract \ II \ from \ I \\ \\ \\\left\{ \begin{array}{c}h^{2}+16-8k+k^{2}=r^{2}\\-(h^{2}+64+16k+k^{2}=r^{2})\\---------------------\\h^{2}+16-8k+k^{2}-h^{2}-64-16k-k^{2}=r^{2}-r^{2}\end{array}\right.[/tex]

[tex]Simplifying: \\ \\ h^{2}+16-8k+k^{2}-h^{2}-64-16k-k^{2}=r^{2}-r^{2}\\ \\ 16-8k-64-16k=0 \\ \\ -24k-48=0 \\ \\ k=-\frac{48}{24} \\ \\ \therefore \boxed{k=-2}[/tex]

From (I):

[tex]h^2+16-8k+k^2=r^2 \\ \\ \\ For \ k=-2 \\ \\ h^2+16-8(-2)+(-2)^2=r^2 \\ \\ \therefore r^2=h^2+36 \\ \\ \\ Substituting \ k \ and \ r^2 \ into \ (III): \\ \\ h^{2}+208+16(-2)+24h+(-2)^{2}=h^2+36 \\ \\ Simplifying: \\ \\ 180+24h=36 \\ \\ 24h=36-180 \\ \\ 24h=-144 \\ \\ h=-\frac{144}{24} \\ \\ \therefore \boxed{h=-6}[/tex]

Finding the radius:

[tex]r^2=(-6)^2+36 \\ \\ r^2=36+36 \\ \\ r^2=72 \\ \\ \therefore \boxed{r=6\sqrt{2}}[/tex]

Finally, the equation of the circle is:

[tex](x-(-6))^2+(y-(-2))^2=72 \\ \\ \boxed{(x+6)^2+(y+2)^2=72}[/tex]

Answer:

[tex](x+6)^2 + (y+2)^2 = 72[/tex]

Step-by-step explanation:

We are given the following information in the question:

y intercept = 4, -8

The circle passes through the point (-12, -8)

Equation of circle:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

where r is the radius of circle, (h,k) is the center of circle.

The circle passes through the points (0,4), (0,-8_ and (-12,-8)

Putting these points in the equation of circle we get:

[tex]1) (0-h)^2 + (4-k)^2 = r^2\\h^2 + (4-k)^2 = r^2\\2) (0-h)^2 + (-8-k)^2 = r^2\\h^2 + (-8-k)^2 = r^2\\3) (-12-h)^2 + (-8-k)^2 = r^2\\[/tex]

Now, we have three equations in three variables.

Solving the three equations, we obtain:

h = -6, k = -2, r = [tex]6\sqrt2[/tex]

Putting these values in the equation of circle:

[tex](x-(-6))^2 + (y-(-2)) = (6\sqrt{2})^2\\(x+6)^2 + (y+2)^2 = 72[/tex]

The above equation is the required equation of circle.

Answer:

2.25

Step-by-step explanation:

You have to subtract 2.13 from 4.38

Example: 4.38-2.13

Answer:

14.5

Step-by-step explanation:

Employ the SOH CAH TOA rule here.

So here you do Sin 65= x/16

solve for X you get 14.5

Answer:

x = -5

Step-by-step explanation:

Solve for x:

3 x + 1 = -14

Subtract 1 from both sides:

3 x + (1 - 1) = -14 - 1

1 - 1 = 0:

3 x = -14 - 1

-14 - 1 = -15:

3 x = -15

Divide both sides of 3 x = -15 by 3:

(3 x)/3 = (-15)/3

3/3 = 1:

x = (-15)/3

The gcd of -15 and 3 is 3, so (-15)/3 = (3 (-5))/(3×1) = 3/3×-5 = -5:

Answer:  x = -5

Answer:

Step-by-step explanation:

3x + 1 = -14;

substr 1 : 3x+1-1 = - 14 -1

3x = -15

divid by 3

x = -5

Answer:

1 2/3 an egg to a bird

Step-by-step explanation:

because there are 5 eggs and divide 5 by 3 you get 1 2/3 and there are 3 birds so each gets 1 2/3rds an egg

Answer:

C) 3:5

Step-by-step explanation:

The question asks for the ratio of birds to eggs. It's asking how many birds there are in comparison to the number of eggs. The key to ratios is paying attention to which is listed first.

There are 3 birds, and 5 eggs, therefore the ratio is 3:5

Answer: -1/2

as in negative one over two

Step-by-step explanation:

Answer:

x - 1

Step-by-step explanation:

(f + g)(x)=f(x) + g(x)

(f + g)(x)=(3x - 7) + (-2x - 6)

(f + g)(x)= 3x - 7 - 2x + 6

(f + g)(x)= 3x - 2x - 7 + 6

(f + g)(x)= x -1

The solutions to the quadratic equation 3x^2 - 7x - 1 = 0, using the quadratic formula, are x = [7 + sqrt(61)]/6 and x = [7 - sqrt(61)]/6.

This question pertains to the solving of a quadratic equation using the quadratic formula. The quadratic formula is given by x = [-b ± sqrt(b^2 - 4ac)]/2a. In equation 3x^2 - 7x - 1 = 0, comparing it with the standard form of quadratic equation ax^2 + bx + c = 0, we can assign: a = 3, b = -7, and c = -1. Substituting these values into the formula, we get: x = [7 ± sqrt((-7)^2 - 4*3*(-1))]/2*3 = [7 ± sqrt(49 + 12)]/6 = [7 ± sqrt(61)]/6. So, the solutions to the equation are x = [7 + sqrt(61)]/6 and x = [7 - sqrt(61)]/6.

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dang this is hard for me, let me think

Answer:

[tex]2\pi \approx 6.28\ meters[/tex]

Step-by-step explanation:

Mei's horse is 3 meters from the center of the carousel. After one rotation, Mei travelled

[tex]l_M=2\pi r=2\pi \cdot 3=6\pi\ meters[/tex]

Anju's horse is 2 meters from the center. After one rotation, Mei travelled

[tex]l_A=2\pi r=2\pi \cdot 2=4\pi\ meters[/tex]

The difference in their travelled distances is

[tex]l_M-l_A=6\pi -4\pi =2\pi \approx 6.28\ meters[/tex]

Mei travels 6.28 meters more than Anju in one rotation.

In one rotation, Mei's horse travels a distance of

2 * 3.14 * 3 = 18.84 meters.

In one rotation,

Anju's horse travels a distance of 2 * 3.14 * 2 = 12.56 meters.

Therefore, Mei travels 18.84 - 12.56 = 6.28 meters more than Anju in one rotation.

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Answer:

9/4 lbs (= 2 1/4 lbs)

Step-by-step explanation:

given original amount of chicken is 4 1/2 lbs ( = 9/2 lbs)

for half the recipe, we need half the amount of chicken

= 9/2 lbs x 1/2

= 9/4 lbs (= 2 1/4 lbs)

Answer:

36, 28, 20

Step-by-step explanation:

To find the three terms of each sequence, simply subtract 8 from each number. For an example, you can notice the pattern by subracting 52 from 60. The answer I recieved was 8. That shows that the pattern is to subtract 8 from the following number.

Hope this helped :)

Answer:68

Step-by-step explanation:each is by 8 so add 8 onto each number to find the total

Answer:

4)

Step-by-step explanation:

Because they just added the same equality. And when you move the -7 over the equal sign it makes it positive so it would be p^2 + 5 + 7 = 8p and that makes it p^2 + 12 = 8p

The property used by the kate to write the function p^2 + 5 = 8p - 7 as p^2 + 12 = 8p is the addition property of equality.

Given to us

When solving p^2 + 5 = 8p - 7.

Kate wrote p^2 + 12 = 8p.

As we can see Kate has simply added the number one, therefore, she had used the addition property of equality.

[tex]p^2 + 5 = 8p - 7\\\\p^2+5+7=8p\\\\p^2 + 12=8p[/tex]

Hence, the property used by the kate to write the function p^2 + 5 = 8p - 7 as p^2 + 12 = 8p is the addition property of equality.

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Answer:

x = 13.

So the 3 angles are a =  44, b = 47 and c = 89 degrees.

Step-by-step explanation:

If these are the angles  are the 3 angles of a triangle they sum to 180 degrees, so:

3x + 5 + 5x - 18 + 7x - 2 = 180

15x - 15 = 180

15x = 195

x = 195/15

x = 13.

To find the values of angles a, b, and c given by the expressions 3x + 5, 5x - 18, and 7x - 2, we set up and solve equations involving these expressions. Once we find the value of x, we substitute it back into the expressions to find the angles.

The question asks about angles given by the expressions a= 3x + 5, b= 5x - 18, and c= 7x - 2. In order to find the values of x and the corresponding values of angles a, b, and c, we need to set up and solve equations involving these expressions.

We can equate these expressions to given angles or to each other, and solve for x. Once we find the value of x, we can substitute it back into the expressions to find the angles.

For example, to find angle a, we substitute the value of x into the expression 3x + 5. Similarly, we substitute the value of x into the expressions 5x - 18 and 7x - 2 to find angles b and c, respectively.

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Answer:

D = 60,000,000,000

Step-by-step explanation:

When "E" appears on a calculator , it means exponential and it is used to denote numbers that are too big or small to appear on the calculator screen in their decimal form.

Therefore 6E-10 means 6 exponential 10 , mathematically written as  6^10

which is 60,000,000,000

Answer:

12

Step-by-step explanation: 282 divided by 94 = 3

4x3=12

Answer:

12 defective widgets

Step-by-step explanation:

Here we calculate the "experimental probability:" 4 defective widgets out of 94 widgets comes out to a probability of being defective of 4/94, which of course could be reduced.

But we can go ahead and calculate the expected number of defective widgets by mult. that 282 widgets by the probability 4/94:

282        4

------- * ------- = 12

   1         94

In this sample of 282 widgets, we could expect that 12 will be defective.

Answer:

3√5 or ≈6.7082

Step-by-step explanation:

1) √45

2) Factor out the perfect square: √3²×5

3) The root of a product is equal to the product of the roots of each factor: √3²√5

4) Reduce the index of the radical and exponent with 2: 3√5

5) Solution: 3√5 or ≈ 6.7082

after removing the perfect square factor from inside the square root of 45, we are left with 3√5.

To remove all perfect squares from inside the square root of √45, we need to factorize 45 and separate the perfect square factors.

The prime factorization of 45 is 3 × 3 × 5. Since 3 is repeated twice, it represents a perfect square factor.

We can rewrite the square root of 45 as the square root of (3 × 3 × 5). Using the property of square roots (√ab = √a × √b), we can simplify it as √(3 × 3) × √5.

The square root of 3 × 3 equals 3, so the expression simplifies to 3√5.

Therefore, after removing the perfect square factor from inside the square root of 45, we are left with 3√5.

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Answer:

Step-by-step explanation:

31 - 12n = 21l              Subtract 31 from both sides.

31-31-12n =211-31       Do the subtraction

-12n = 190                  Divide by -12

-12n/-12 = 190/-12

n = -15.333333

Answer:

-x/4-3=x

Step-by-step explanation:

Answer:

-12/5

Step-by-step explanation:

-x/4-2=x+1

-x/4-x-2=1

-x/4-x=1+2

-x/4-x=3

-1/4x-4/4x=3

-5/4x=3

x=3/(-5/4)

x=(3/1)(-4/5)

x=-12/5