What is the product of 2/8 and 3/5?

Answer:

Step-by-step explanation:

let:  x , x+1 , x+2 ,x+3 , x+4 ....( 5 consecutive integers is 110)

x+x+1 +x+2 +x+3+x+4=110

5x +10 = 110

5x =100

x=100/5

x=20

the fourth number in this sequenceis : x+3  so : 23

Answer:

For savings: 924$ paid. For loan: 963$ paid

The answer is: The point (0,0) is part of the solution.

To find which point is part of the solution of the inequality, we need to evaluate each of the given points. If the inequality is satisfied, then the point is part of the solution, otherwise, if the inequality is not satisfied, the point is not part of the solution.

We are given the inequality:

[tex]y\leq |x+4|-3[/tex]

So, evaluating we have:

- First point (-2,1)

[tex]y\leq |x+4|-3\\\\1\leq |-2+4|-3\\\\1\leq |2|-3\\\\1\leq 2-3\\\\1\leq -1[/tex]

Now, since 1 is not less or equal to -1, the point (-2,1) is not part of the solution.

- Second point (1,3)

[tex]y\leq |x+4|-3\\\\3\leq |1+4|-3\\\\3\leq |5|-3\\\\3\leq 5-3\\\\3\leq 2[/tex]

Now, since 3 is not less or equal to 2, the point (1,3) is not part of the solution.

- Third point (-4,2)

[tex]y\leq |x+4|-3\\\\2\leq |-4+4|-3\\\\2\leq |0|-3\\\\2\leq 0-3\\\\2\leq -3[/tex]

Now, since 2 is not less or equal to -3, the point (-4,2) is not part of the solution.

- Fourth point (0,0)

[tex]y\leq |x+4|-3\\\\0\leq |0+4|-3\\\\0\leq |4|-3\\\\0\leq 4-3\\\\0\leq 1[/tex]

Now, since 0 is less than 1, the point (0,0) is part of the solution.

Hence, we have that the point (0,0) is part of the solution.

Have a nice day!

Answer:

15/32 cup

Step-by-step explanation:

Apparently, you're to assume that flour used on the countertop does not end up in the muffins. If that is the case, then the amount of flour in the 8 muffins is ...

4 cups - 1/4 cup = 3 3/4 cups

When that is divided evenly among 8 muffins, the amount in each is ...

(1/8)·(3 3/4 cups) = (1/8)·(15/4 cups) = 15/32 cup

Answer: 15/32

Step-by-step explanation: Because she uses 1/4 to flour the counter you need to subtract 1/4 from four which gives you 3 3/4. 3 3/4 divided by eight equals 15/32

Answer:

[tex]\large\boxed{b=\sqrt{95}}[/tex]

Step-by-step explanation:

Use the Pyhagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have

[tex]leg=b,\ leg=7,\ hypotenuse=12[/tex]

Substitute:

[tex]b^2+7^2=12^2[/tex]

[tex]b^2+49=144[/tex]       subtract 49 from both sides

[tex]b^2=95\to b=\sqrt{95}[/tex]

5??? Not 100% Sure If Im Correct.

Answer:

(3, 2)

(−6, −4)

Step-by-step explanation:

Answer:

A+C=34

10C+20A=570

Answer:

$305

Step-by-step explanation:

Answer:

A/281.75

Step-by-step explanation:

1st step.

81.00/9=9

129/12=10.75

2nd step

9*11=99

10.75*17=182.75

3rd step

99+182.75=

281.75 or a

hope this helped!!!!

Answer:

16

Step-by-step explanation:

The perimeter = sum of the three sides.

1/2 + 1/2 = 1

4 + 5 + 6 + 1 = 16

ANSWER

[tex]f(x) = {x}^{3} + 6 {x}^{2} - 19 - 24[/tex]

EXPLANATION

The polynomial function has zeros at:

-8,-1 and 3

This means the polynomial can be factored as:

[tex]f(x) = (x + 8)(x + 1)(x - 3)[/tex]

We expand the last two factors:

[tex]f(x) = (x + 8)( {x}^{2} - 2x - 3)[/tex]

We expand further to get:

[tex]f(x) = {x}^{3} - 2 {x}^{2} - 3x + 8 {x}^{2} - 16x - 24[/tex]

[tex]f(x) = {x}^{3} + 6 {x}^{2} - 19 - 24[/tex]

The polynomial in descending powers of x is said to be in standard form.

you would use sine

sine = opposite side / hypotenuse

and solve for opposite side (x)

so sine of 70*14= which is about 13.146

Check the picture below.

make sure your calculator is in Degree mode.

Answer:

b.4/5

Step-by-step explanation:

step 1

In the right triangle FGH

Find HF

we know that

HG=GF ----> by triangle 45°-90°-45°

Applying the Pythagoras Theorem

[tex]HF^{2} =\sqrt{8}^{2} +\sqrt{8}^{2} \\ \\HF^{2} =16\\ \\HF=4\ units[/tex]

step 2

In the right triangle FEH

Find HE

Applying the Pythagoras Theorem

[tex]HE^{2} =4^{2} +3^{2} \\ \\HE^{2} =25\\ \\HE=5\ units[/tex]

step 3

Find the cos(∠FHE)

cos(∠FHE)=HF/HE

substitute the values

cos(∠FHE)=4/5

Answer:

210 miles

Step-by-step explanation:

35 x 6

Answer:

statement A

Step-by-step explanation:

If the ratio

[tex]\frac{QT}{TR}[/tex] = [tex]\frac{QU}{US}[/tex]

then TU is parallel to RS

[tex]\frac{QT}{TR}[/tex] = [tex]\frac{32}{36}[/tex] = [tex]\frac{8}{9}[/tex]

[tex]\frac{QU}{US }[/tex] = [tex]\frac{40}{45}[/tex] = [tex]\frac{8}{9}[/tex]

Since the ratios are equal then line segment TU is parallel to line segment RS

Answer:

Step-by-step explanation:

<, > - open circle

≤, ≥ - solid circle

<, ≤ - draw to the left

>, ≥ - draw to the right

[tex]3-x\geq2\qquad\text{subtract 3 from both sides}\\\\-x\geq-1\qquad\text{change the signs}\\\\\boxed{x\leq1}\\\\4x+2\geq10\qquad\text{subtract 2 from both sides}\\\\4x\geq8\qquad\text{divide both sides by 4}\\\\\boxed{x\geq2}[/tex]

Answer:

see explanation

Step-by-step explanation:

The recursive formula allows us to calculate the next term in the sequence from the previous term.

The common ratio r = [tex]\frac{-24}{6}[/tex] = - 4

Thus multiplying any term by - 4 gives the next term, that is

[tex]a_{n+1}[/tex] = - 4 [tex]a_{n}[/tex] with a₁ = 6

Answer:

The conic is an ellipse  ⇒ answer A

Step-by-step explanation:

* Lets explain how to solve the problem

- The polar form equation of a conic with a focus at the origin, the

 directrix is y = ± p where p is a positive real number, and the

 eccentricity is a positive real number e is r = ep/(1 ± e sin Ф)

# If 0 ≤ e <1, then the conic is an ellipse

# If e = 1, then the conic is a parabola

# If e > 1, then the conic is an hyperbola

- Lets solve the problem

∵ The equation of the conic is r = 3/(4 + 2 sin Ф)

∵ The form of the equation is r = ep/(1 ± e sin Ф)

- We must divide up and down by 4 to make the 1st term of the

 denominator equal 1

∴ r = (3/4)/(1 + (2/4) sin Ф)

∴ ep = 3/4

∴ e = 2/4

- Lets use the rules above to identify the type of the conic

∵ e = 2/4 = 1/2

∴ 0 ≤ e < 1

∴ The conic is an ellipse

Answer:

A C D are the answers

Step-by-step explanation:

Ellipse, r=1/1-cos theta, r=3/2-3cos theta

Answer:

-2

Step-by-step explanation:

its a geometric sequence where every term is being divided by -3

Answer:

-2

Step-by-step explanation:

This is a geometric sequence.  We need to find the common ratio

Take the second term and divide by the first

-18/54 = -1/3

Take the third term and divide by the second

-18/6 = -1/3

The common ratio is -1/3

The next term is the third term times the common ratio

6 * -1/3 = -2

The fourth term  is -2

Answer:

C. 95°

Step-by-step explanation:

The up angle of the triangle is 180° - 121° = 59°

The right angle of the triangle is 180° - 144° = 36°

The left angle of the triangle is 180° - (59°+36°) = 180° - 95° = 85°

=> n° = 180° - 85° = 95°

Answer:

○ C. 95°

Step-by-step explanation:

Deduct each exterior angle from 180°, according to the Supplementary Angles Theorem, to get your interior angles:

-144° + 180° = 36°

-121 + 180° = 59°

You have two of the interior angles, so to find the final one, we do this:

-95° + 180° = 85°

You now have your third interior angle measure, and now, it is hooked up to the exterior angle, n°. This is where the Supplementary Angles Theorem comes in again:

-85° + 180° = 95°

So, the m∠n is 95°.

I am joyous to assist you anytime.

Answer:

t = 3 seconds

Step-by-step explanation:

We have the equation, as a function of time, that describes the height of the object that is dropped from the bridge.

The equation is:

[tex]h (t) = 144 - 16t ^ 2[/tex]

Where t is the time in seconds and h is the height in feet.

To know how long it takes the object to fall to the ground we do h (t) = 0 and solve for t.

So:

[tex]0 = 144 - 16t ^ 2\\\\16t ^ 2 = 144\\\\t ^ 2 = \frac{144}{16}\\\\t ^ 2 = 9\\\\t_1 = 3\\t_2 = -3[/tex]

We take the positive solution.

Therefore the object takes 3 seconds to reach the ground

Answer:

t=3 seconds

Step-by-step explanation:

We have the equation, as a function of time, that describes the height of the object that is dropped from the bridge.

The equation is:

Where t is the time in seconds and h is the height in feet.

To know how long it takes the object to fall to the ground we do h (t) = 0 and solve for t.

So:

We take the positive solution.

Therefore the object takes 3 seconds to reach the ground

Read more on Brainly.com - https://brainly.com/question/12606814#readmore

____________________________________________________

Answer:

Your answer would be D). Since -2 is to the left of 1, -2 < 1.

____________________________________________________

Step-by-step explanation:

The reason why this would be the correct answer is because it numerically makes sense, and the statement said in the answer choice is correct on the number line.

The numbers that are on the left side of the number line, the negatives, are a lower value than the numbers on the right. To sum it up, the numbers that are more to the left are less value than the ones more to the right.

In the answer choice D, it says, "Since -2 is to the left of 1, -2 < 1."

This is correct because -2 is less than 1, so when you use the the less than sign, it makes sense since -2 is less than 1. To sum it uyp, 1 is greater than -2.

D should be your FINAL answer.

____________________________________________________

Why the other answer choices are incorrect:

The reason why answer choice "A" is incorrect because:

-2 is actually not greater than -1. Remember, The numbers that are more to the right are greater than the numbers on the left. -2 is to the left of -1, which means that -1 would be greater than -2. This statement would be incorrect. This is the reason why this answer choice would be wrong.

The reason why answer choice "B" is incorrect because:

-1 is not equal to 1. -1 is more to the left than 1, and since the negative sign is there, they wouldn't be the same. Even though they have the same number, they don't have the same value. If the equation said 1 =1, it would be true, but that's not the case in this answer choice, which would make it incorrect. This is the reason why this answer choice would be wrong.

The reason why answer choice "C" is incorrect because:

-2 is not  greater than 1/3. -2 is negative, while 1/3 is positive, therefore making the 1/3 greater than -2. In the answer choice, it's saying that -2 is greater than positive 1/3, which is incorrect. This is the reason why this answer choice would be wrong.

____________________________________________________

Answer:

D

Step-by-step explanation:

Answer:

There are 96 liters of oil in both containers originally

Step-by-step explanation:

* Lets change the story problem to mathematics equation

- Let the first container had A liters of oil and the second container

 had B liters of oil

- The quantity of oil B in the second container is twice the quantity

  of oil in A in the first container

∴ B = 2A ⇒ (1)

- After using 13 liters from the quantity of oil A in the first container,

 the container had (A - 13) liters

- After using 7 liters from the quantity of oil B in the second container,

 the container had (B - 7) liters

-  After that the quantity of oil in the second container is 3 times

 more oil than the first one

∴ B - 7 = 3(A - 13) ⇒ simplify

∴ B - 7 = 3A - 39 ⇒ add 7 and subtract 3A from both sides

∴ B - 3A = -39 + 7

∴ B - 3A = -32 ⇒ (2)

- Substitute the value of B from (1) into (2)

∴ 2A - 3A = -32

∴ -A = -32 ⇒ × -1

∴ A = 32 liters

- Find the value of B by substitute value of A in (1)

∴ B = 2(32) = 64 liters

- Now find the total liters of oil in both containers

∴ A + B = 32 + 64 = 96 liters

* There are 96 liters of oil in both containers originally

[tex]c)x^{2/3}[/tex]

Answer:

Gross annual income

Annual income i think lol

Stem and Leaf Plot Advantages. The stem and leaf plot essentially provides the same information as a histogram, with the following added benefits: The plot can be constructed quickly using pencil and paper. The values of each individual data point can be recovered from the plot.

7.5 xxx. 8.0 xxx 8.5 xxx 9.0 xxxxx 9.5 xxxx

Answer:

B

Step-by-step explanation:

The graph has a negative slope of 3, so him earning $3 wouldn't make sense, nor would him earning or spending $0.30

natural numbers. they are also called counting numbers. hope this helps :)

The answer is Whole.

Final answer:

To find the missing value so that the two given points have a slope of -2, substitute the values into the slope formula and solve for y. The missing value is y = 5.

Explanation:

To find the missing value for the given points (1, y) and (6, -5) so that the two points have a slope of -2, we can use the formula for finding the slope between two points:

Slope = (y₂ - y₁) / (x₂ - x₁)

Substituting the given values into the formula, we have:

(-5 - y) / (6 - 1) = -2

Simplifying this equation:

-5 - y = -2(6 - 1)

-5 - y = -2(5)

-5 - y = -10

Solving for y:

y = -5 + 10

y = 5

Therefore, the missing value 'y' is 5.