Which fraction lies between 0.70 and 0.75 on number line?

Answer:

x=5

Step-by-step explanation:

2^x=32 , solve for x, so x=5

Answer:

The first step is to expand it to get rid of brackets .

Step-by-step explanation:

The first step, you have to eliminate brackets by expanding :

[tex]2(3k + 1) = 4k + 32[/tex]

[tex]2(3k) + 2(1) = 4k + 32[/tex]

[tex]6k + 2 = 4k + 32[/tex]

Next you have to collect like terms by making the same variable to one side and lastly, solve it :

[tex]6k - 4k = 32 - 2[/tex]

[tex]2k = 30[/tex]

[tex]k = 30 \div 2[/tex]

[tex]k = 15[/tex]

Answer:

Use the distributive Law on the left side of the equation.

Step-by-step explanation:

The first step is to distribute the 2 over the parentheses:

2(3k + 1) = 4k + 32 Distributing:

2*3k + 2*1  = 4k + 3

6k + 2 = 4k + 3

2k = 1

k = 1/2.

Answer:

56 pack

Step-by-step explanation:

To find the number of packs of seed needed, we will first find the area of the rectangular backyard. We're given that the length is 32 feet and the width is 21 feet.

We get the following. Area =length × width =×3221 =672 square feet So the area of the backyard is 672 square feet. Each pack of seed covers 12 square feet. So we can find the number of packs of seed needed as follows. =÷6721256 packs Thus, Justin will need 56 packs of seed.

Answer:

1500p

Step-by-step explanation:

The spinner A has 4 possible values, and the spinner B has 3 possible values, so the total number of possibilities for both spinners is the product of these number of possibilities:

4 * 3 = 12

From these 12 possible pair of values, the ones that give a sum of 7 are:

(6,1), (4,3) and (2,5).

We have 3 cases where the sum is 7, so the probability of having a sum of 7 is 3/12 = 25%. Therefore, the probability of not having a sum of 7 is 75%

To find the expected value, we multiply the probability of each case by the value it would give. If the player wins, the school loses 10p (the player paid 20p and earned 30p), and if the player loses, the school wins 20p. So the expected value of 120 games is:

120 * (0.25 * (-10) + 0.75 * (20)) = 1500p

Answer:18

Step-by-step explanation:

Answer:

1.20x + 2.5 ≤ 20

Step-by-step explanation:

This would be the best inequality to use.

How much Cups She Can Buy

x is the ammount of cups so we will solve for x

Subtract 2.5 from both sides

1.20x + 2.5 -2.5 ≤ 20 - 2.5.

1.20x ≤ 17.5

Divide both sides by 1.20

1.20x/1.20 ≤ 17.5/1.20

x ≤ 14.5833...

She can buy 14 cups

Step-by-step explanation:

Step 1:  Make an equation

20 ≥ 2.50 + 1.20x ← Best inequality

Step 2:  Subtract 2.50 from both sides

20 - 2.50 ≥ 2.50 - 2.50 + 1.20x

17.5 ≥ 1.20x

Step 3:  Divide both sides by 1.20

17.5 / 1.20 ≥ 1.20x / 1.20

14.583... ≥ x

Answer: The max amount of full yogurts that she can buy is 14

Answer:

BC = 15

Step-by-step explanation:

Because of parallel lines, AD and BE, triangles ADC and BEC are similar.

In similar triangles, the lengths of corresponding sides are proportional.

AC/BC = DC/EC

We see that AC = AB + BC = 3 + BC

Also, DC = DE + EC = 2 + 10 = 12

(3 + BC)/BC = 12/10

(3 + BC)/BC = 6/5

Cross multiply.

5(3 + BC) = 6BC

15 + 5BC = 6BC

15 = BC

BC = 15

Answer:

acute acute obtuse right

Step-by-step explanation:

if it is less than 90° it will be acute. it is exactly 90° it is right. it is more than 90° it is obtuse.

good luck

The values for a and b in the given exponential function are a = 4 and b = 1/2

An exponential function is a mathematical function used to calculate the exponential growth or decay of a given set of data.

For example, exponential functions can be used to calculate changes in population, loan interest charges, bacterial growth, radioactive decay or the spread of disease.

Given that,

The exponential function is given as, y = abˣ, we need to find the value of a and b,

When x = 0, ab⁰ = 4

a=4 (since, b⁰ = 1)

When x = 1, ab¹ = 2

4b = 2

b = 1/2

Hence, The values of a and b are a = 4 and b = 1/2

Learn more about exponential function, click;

https://brainly.com/question/11487261

#SPJ7

Answer:

x^3+8

The polynomial given may be: x^3 + 8. One choice

Step-by-step explanation:

The polynomial given may be: x^3 + 8. One choice

x^3+8

Answer is above

Hope this helps.

Answer:

This is a right triangle

Step-by-step explanation:

We can check if this is a right triangle by using the Pythagorean theorem

a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse

3^2+4^2 = 5^2

9+16 = 25

25=25

This is true so it is a right triangle

Answer:

Domain: 0 ≤ x ≤ 5

Range: 4 ≤ y ≤ -1

Step-by-step explanation:

Since the graph is not infinite and ends in two points, the domain and range are also not infinite where there is a range of numbers that the domain and range of the graph fall into. Hope this helps!!

Answer:

x=2 x=-4

Step-by-step explanation:

x2+2x−8=0

Step 1: Factor left side of equation.

(x−2)(x+4)=0

Step 2: Set factors equal to 0.

x−2=0 or x+4=0

x=2 or x=−4

Answer:

x=2 or x=−4

Answer:

x=2 or x=-4

Step-by-step explanation:

ax^2+bx+c=0

when solving this equation you should find two numbers that if we multiply them we get c and when we subtract them we get b so in this equation we get 2 and -4

====================================================

Work Shown:

5% = 5/100 = 0.05

5% of 42 = 0.05*42 = 2.10

tax = $2.10

total cost including tax = $42 + $2.10 = $44.10

----------

An alternative is to multiply 42 by 1.05 to get

1.05*42 = 44.10

We get the same answer. The 1.05 refers to 1 + 0.05 where the "1" is 100% and the 0.05 is 5%, so the two combine to 105%, meaning the total cost is 105% of the cost before tax is considered.

Answer:

$345 : whichever is closest

Step-by-step explanation:

Pants were $20 each and she bought 9 of them so multiply:

9x20=180

She paid $180 for 9 pants.

Shirts cost $15 each and she bought 11 of them so Mulitply:

15x11=165

She paid $165 for 11 shirts

Add both totals from pants and shirts

165+180=$345

Answer: 350

Step-by-step explanation: I dont really now how but 345 is close to 350 and my learning app says so.I'M really bad at math but if get this questoin an Modymax than the awsnser is 350.

Answer:

j + 47 = 53

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

cos F = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{FD}{EF}[/tex] = [tex]\frac{5}{13}[/tex]

sin F = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{ED}{EF}[/tex] = [tex]\frac{12}{13}[/tex]

tan F = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{ED}{FD}[/tex] = [tex]\frac{12}{5}[/tex]

Answer:

2(4a + 7)

Step-by-step explanation:

2 to the 4 and 7

This would give you 8a + 14 because 2 times 4 is 8,  and 2 times 7 is 14.

Hope this helps.

Answer:

2(4a + 7)

Step-by-step explanation:

Multiply 2x 4 to make 8a. Then multiply 2 x 7 to make 14. 8a + 14.

THANKS FOR THE POINTS BTW

Answer:

[tex]\frac{4}{3} \\1.333333[/tex]

Step-by-step explanation:

Answer:

For y=x-3. (0,2) the equation is y=x+2

For y=3-x. (0,2) the equation is y=2-x

For y=3x+1. (0,3) the equation is y=3x+3

For y=-1/2x+4. (0,1) the equation is y=-1/2x+1

Step-by-step explanation:

How I got my answers:

For y=x-3: the gradient is 1 because we do not have anything before x.

For the points given for example (0,2) x is zero  and y-intercept is 2. same for the rest of the points.

Now you can write your equation in the form y=mx+b

where m is your gradient, and b is the y point. So you say y=1x+2 for the first one. Do the same for the rest. Remember 1x is the same as x so you can leave out 1.

You can comment if you did not understand my explanation because this explained how you can do it.

Answer:

The value of x is 12

Step-by-step explanation:

4x3=12

7x3=21

Therefore 12/21

To explain further:

If you divide 12 by 3 you get 4

If you divide 21 by 3 you get 7

Therefore resulting to 4/7

(I found out that the number three goes in both numbers to begin with)

Is this clearer?

Answer:

he played around 20 games

Answer:20

Step-by-step explanation:

N\A

Answer:

a fixed point equidistant from all points on the surface of the sphere

Step-by-step explanation:

I assume you are taking the test, so that's the answer

Answer:

b

Step-by-step explanation:

Answer:

x= 100º

y= 260º

Step-by-step explanation:

x= 180º-42º-38º

x= 100º

y= 360º-100º

y=260º

(I'm not sure if it's right, but I hope I helped :) )

Answer:

x =80°

y = 280°

Step-by-step explanation:

Given: [tex] AB \parallel CD[/tex]

Extend segment CE in the direction of E in such a way that it intersects ray AB at point say P.

[tex]\therefore m\angle APE = m\angle ECD..(Alternate\: \angle s)\\

\because m\angle ECD = 42°\\

\therefore m\angle APE = 42°\\[/tex]

So, x° would be the exterior angle of [tex] \triangle AEP.[/tex]

Hence, by remote interior angle theorem of a triangle, we have:

[tex]x = 38° + 42°\\

\huge\purple{\boxed{x = 80° }}\\\\

y = 360\degree - 80\degree\\

\huge\red{\boxed{y= 280\degree}}[/tex]

Answer:

6pi or 18.84

Step-by-step explanation:

120/360 times 2 pi 9

120/360 = 1/3

2 times 9 = 18

18 times 1/3 equals 6

Answer:

CBD = 82°

Step-by-step explanation:

From the chords relations in a circle, we have that when two chords intersects, we have the following angles:

CBF = DBE =  (1/2) * (arc(CF) + arc(DE))

CBD = FBE = (1/2) * (arc(CD) + arc(EF))

So, using the second equation to find the value of the angle CBD, we have that:

CBD = (1/2) * (100 + 64)

CBD = (1/2) * 164

CBD = 82°

Answer:

The required probability is option [tex]C)\ \dfrac{1}{9}[/tex]

Step-by-step explanation:

There are a total of 9 cards.

Total number of cases = 9

Let A be the event of choosing 1, 2 or 3.

Total number of favorable cases for event A = 3

Let B be the event of choosing 7, 8 or 9.

Total number of favorable cases for event B = 3

Formula for finding probability of an event E is:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

Finding P(A), using the formula:

[tex]P(A) = \dfrac{3}{9}\\\Rightarrow \dfrac{1}{3}[/tex]

Now, it is given that the card is replaced, so again total number of cases are 9.

For finding P(B), using the formula:

[tex]P(B) = \dfrac{3}{9}\\\Rightarrow \dfrac{1}{3}[/tex]

To find the probability that events A and B both happen, we can simply multiply P(A) and P(B) because these are independent events.

[tex]\text{Required probability = }P(A) \times P(B)\\\Rightarrow \dfrac{1}{3} \times \dfrac{1}{3} \\\dfrac{1}{9}[/tex]