Solve the inequality 5(2x + 1) < 10.
A. x < 1/2
B. x > 1/2
C. x < 3/2
D. x > 3/2

Answer:

150 miles

distance travelled on the third day = 150 miles

Step-by-step explanation:

Note: it was given that they drove the same speed throughout the trip. That means their speed is constant for all days;

For the first day

distance = 300 miles

time = 6 hours

Speed = distance/time

Speed = 300/6 = 50 mph

on the third day;

time = 3 hours

Speed = speed on first day = 50 mph

distance = speed × time

distance = 50 mph × 3 hours

distance = 150 miles

distance travelled on the third day = 150 miles

Answer:

The zeros of the function are the numbers when put in the function will make it equal to zero

let y = 0

2x² +5x +2 = 0

(x + 2)(2x + 1) = 0

x = 2 , x = -1/2

The answer is option c.

Step-by-step explanation:

x = 2,x = -1/2

=)))))))))

[tex]answer \\ = \frac{4}{25} \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

Option C.

Step-by-step explanation:

Cross section: In three-dimensional space, the non-empty intersection of a solid body and a plane is known as cross section.

A cylinder has two circular plane surface called edges (top and bottom) and curved surface.

If the plane intersects the cylinder vertically along an edge of the cylinder, then the plane is perpendicular to both edges and we get two pairs of opposite sides which are equal.

It means, the cross section of plane and cylinder is a rectangle.

Therefore, the correct option is C.

Answer

[tex]\sqrt[6]{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{2} = \sqrt[6]{8}[/tex]

[tex]\sqrt[3]{2} = \sqrt[6]{4}[/tex]

Answer:

-1/19 = x

Step-by-step explanation:

(x - 1)/x = 20

Multiply each side by x

(x - 1)/x *x = 20*x

x-1 = 20x

Subtract x from each side

x-1-x = 20x-x

-1 = 19x

Divide each side by 19

-1/19 = x

Answer:

36.87°

Step-by-step explanation:

[tex] \sin \theta = \frac{3}{5} \\ \\ \sin \theta = 0.6 \\ \\ \theta = {sin}^{ - 1} (0.6) \\ \\ \theta = 36.869897646 \degree \\ \\ \theta = 36.87 \degree[/tex]

One-to-One Functions. ... If no horizontal line intersects the graph of the function f in more than one point, then the function is 1 -to- 1 . A function f has an inverse f−1 (read f inverse) if and only if the function is 1 -to- 1 .

Answer: 44 possible outcomes

Step-by-step explanation:

Multiply the number of games by the number of outcomes to find how many possibilities.

22 games * 2 outcomes = 44 possibilities

Interpreting the situation, it is found that there are 23 possible outcomes for the season record.

For each game, there are two possible outcomes.

In this problem, there are 22 games, hence 23 possible outcomes.

A similar problem is given at https://brainly.com/question/18599661

Answer:

Out put would be - 2

Step-by-step explanation:

[tex]y = 3x \div 9 \\ y = \frac{3x}{9} \\ y = \frac{x}{3} \\ plug \: x = - 6 \\ y = \frac{ - 6}{3} \\ \huge \purple{ \boxed{ y = - 2}}[/tex]

Answer:

Expenditure x (in hundreds of dollars) = $2,000

Step-by-step explanation:

Given:

Profit p (in hundreds of dollars)

Expenditure x (in hundreds of dollars)

p(x) = -0.5x² + 20x + 23

Find:

Expenditure for advertising .

Computation:

x = -(Cofficient of x) / 2(Cofficient of x²)

x = -(20) / 2(-0.5)

x =  20

Expenditure x (in hundreds of dollars) = 20 × $100

Expenditure x (in hundreds of dollars) = $2,000

Answer:

The triangle's area is 12 square units.

Step-by-step explanation:

We start by drawing the requested points A = (-4, -3) and B = (0, -3), which we notice are located horizontally on the line of y = -3 and separated 4 units from each other (see red dots in the attached image).

Then we look for a point over the line y = 3 that is equidistant from points A and B (so we place it at the point (-2, 3)) and name it "C".

Now, the triangle ABC defined by the three points has base = 4 units, and height = 6 units (from the line y = -3 to the line y = 3).

Then recall that the area of a triangle is defined by the product of the triangle's base times its height, divided by two:

[tex]Area=\frac{base\,*\,height}{2} \\Area=\frac{4\,*\,6}{2} \\Area = 12[/tex]

So the triangle's area is 12 square units.

Answer:

height of cylinder = 4/3 h

Step-by-step explanation:

The solid has a cylinder surmounted with a cone .Therefore, the volume of the solid is the sum of the cone and the cylinder.

volume of the solid = volume of cylinder + volume of cone

volume of the solid = πr²h + 1/3πr²h

let

height of the cylinder = H

recall

the height of the cone = 2h

volume of the solid = πr²h + 1/3πr²h

3(1/3πr²2h) = πr²H + 1/3πr²2h

2πr²h = πr²H + 2/3 πr²h

πr²(2h) = πr²(H + 2/3 h)

divide both sides by πr²

2h = H + 2/3 h

2h - 2/3h = H

H = 6h - 2h/3

H = 4/3 h

height of cylinder = 4/3 h

Answer:

90

Step-by-step explanation:

My brother got that same question and he did it with his class

Answer:

The experimental probability of spinning a number less than 2

P( x<2) = 0.14

Step-by-step explanation:

Given data table

x                        7           10            8                8           8            9      = total 50

P(X=x)    [tex]\frac{7}{50} = 0.14[/tex]     [tex]\frac{10}{50} = 0.2[/tex]  [tex]\frac{8}{50} = 0.16[/tex]   [tex]\frac{8}{50} = 0.16[/tex]  [tex]\frac{8}{50} = 0.16[/tex]   [tex]\frac{9}{50} = 0.18[/tex]  

Sum of the probabilities is equal ∑x P(x=x)

                                 = 0.14 +0.2 +0.16 +0.16+0.16 +0.18

                                 =1

Given data table

spinning

a spinner             1            2            3                4           5             6                    

x                        7             10            8                8           8            9      

P(X=x)            0.14     0.2         0.16             0.16         0.16        0.18    

The experimental probability of spinning a number less than 2

P( x<2) = P( x=0) +P(x=1)

          = 0 + 0.14

The experimental probability of spinning a number less than 2

P( x<2) = 0.14

Answer:

see below

Step-by-step explanation:

Let's call the width w. The length would then be 2w - 6. Since the area of a rectangle = length * width the answer is 208 = (2w - 6) * w.

Answer:

Solve the rational equation by combining expressions and isolating the variable x

.

x≈1.89393154

Step-by-step explanation:

please mark brainly

Answer:

Step-by-step explanation:

1. Ice Cubes

2. Dice

3. Sugar Cubes

5. Old Iron Lockers

6. Gift Box

7. Cube Building Blocks

Answer:

C

Step-by-step explanation:

perimeter of circle

2πr

perimeter of semi circle

2πr ÷ 2

=2π(25) ÷ 2

= 50π ÷ 2

= 25π

Ans = 25π

Answer:

Number of people in a room

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Complete Question:

Jenny is going to tile her kitchen floor of area 30 m^2. She has taken out all the furniture and appliances. Jenny wants to know if she has got enough money to buy the tiles.The tiles are sold in packs, which cover 2m2 Jenny has a discount card which gives her 25% off any marked price at the DIY shop. The tiles are marked at £9.60 Jenny has £100 to spend on the tiles. How much extra does Jenny need to buy the tiles? Give your answer in pence.

Answer:

Extra amount needed by Jenny to buy the tiles = £8

Step-by-step explanation:

Floor area = 30.0 m^2

Area covered by a pack of tiles = 2.0 m^2

Number of packs needed = 30/2

Number of packs needed = 15

Price of a pack of tiles = £9.60

Discount = 25%

Jenny will pay 75% of the marked price

Amount Jenny will pay for a pack of tiles = 75% of 9.60 = 0.75*9.60

Amount Jenny will pay for a pack of tiles = £7.20

Amount Jenny will pay for 15 packs of tiles = 7.20 x 15

Amount Jenny will pay for 15 packs of tiles = £108

The amount of money Jenny currently has = £100

Extra amount needed by Jenny to buy the tiles = £108 - £100

Extra amount needed by Jenny to buy the tiles = £8

Answer:

The ball traveled 116.25 m when it hit the ground for the fifth term

Step-by-step explanation:

This is a geometric progression exercise and what we are asked to look for is the sum of a GP.

The ball was dropped from a height of 60 m. This means that the initial height of the ball is 60 m.

First value, a = 60

Each time it hit the ground, it bounced up 1/2 (half) of the height that it dropped.

This is the common ratio, r = 1/2 = 0.5

The number of terms it hits the ground is the number of terms in the GP.

number of terms, n = 5

The distance traveled by the ball when it hit the ground for the fifth term will be modeled by the equation:

[tex]S_n = \frac{a(1 - r^n) }{1 - r} \\S_5 = \frac{60(1 - 0.5^5) }{1 - 0.5}\\S_5 = \frac{58.125}{0.5} \\S_5 = 116.25 m[/tex]

Answer & Step-by-step explanation:

(5√2 - 4√3)(5√2 - 4√3)

We can rewrite this equation into a more simpler form.

(5√2 - 4√3)²

Now, we multiply. When multiplying, its important we multiply each term instead of combining them together.

When you multiply a radical by itself, then the base number will be by itself as the product.

So......

(5)² = 25

(4)² = 16

(√2)² = 2

(√3)² = 3

So, now the equation looks like this..

(25 * 2) + (16 * 3)

Multiply the terms.

50 + 48

Add the numbers.

50 + 48 = 98

So, your answer will be answer choice D. The radical in choice D represents the radicals that are in the problem multiplied together.

Answer:

A

Step-by-step explanation:

It is specifically in bone marrow. Bone marrow is the tissue comprising the center of large bones.

Plss brainliest

Answer:

In the Bones

Step-by-step explanation:

apex checked by myself

Answer:

B, C, E

Step-by-step explanation:

The solution of the inequality is x ≤ -7

The graph would have a closed circle because it's less than or equal to

-7 is a part of the solution because it's less than or equal to -7

Answer:

Step-by-step explanation:

Subtract 22 from both sides to get [tex]x\leq -7[/tex]. So the 2nd one is correct

The sign is less than or equal to, so the graph does indeed have a closed circle. So the 3rd one is also correct

The answer is x is less than or EQUAL to -7, so -7 is included in the asnwer. So the 5th one is also correct

Answer:

[tex]x=\frac{\sqrt{13}-7 }{18} ,x=\frac{-\sqrt{13}-7 }{18}[/tex]

Step-by-step explanation:

I'm not too good with the quadratic formula so I'm going to complete the square.

First divide everything by 9 and move the 1 to the other side.

[tex]x^2-\frac{7}{9}=-\frac{1}{9}[/tex]

Then take half of [tex]\frac{7}{9}[/tex] and square it and add it to both sides.

[tex]x^2-\frac{7}{9} +\frac{49}{324}=\frac{13}{324}[/tex]

Now you can factor it.

[tex](x-\frac{7}{18})^2=\frac{13}{324}[/tex]

Square root:

[tex]x-\frac{7}{18}=\frac{\sqrt{13} }{18}[/tex]

[tex]x=\frac{\sqrt{13}-7 }{18} ,x=\frac{-\sqrt{13}-7 }{18}[/tex]

Answer:

see explanation

Step-by-step explanation:

(1)

The axis of symmetry is situated midway between the x- intercepts, thus

x = [tex]\frac{-3+5}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

Equation of axis of symmetry is x = 1 → d

-----------------------------------------------------

(2)

The x- intercepts of a quadratic are the solutions, thus

x = 2 and x = - 3 → b

Answer:

Check below

Step-by-step explanation:

1) These metric volume units can be easily converted by dividing or multiplying by 10 and its multiple. Like this: each step up on the ladder multiply by 10. Each step down divide by 10

[tex]a)5270 \:cl=527\:dl\\b)kl=5.3 \times 10=530 hl\\c)58000ml=5.8 dal =(\frac{58000}{10000})\\d)0.39 dal=3.9 l\\e)7.8 dal=780 dl\\f)57.2 ml=5.72 cl[/tex].

2) When it comes to area, the "ladder scheme" remains valid but now we'll multiply or divide by

[tex]10^3[/tex]

Bear in mind these useful relations:

[tex]1litre =\frac{1}{10^3}m^{3}[/tex]

[tex]1 cm^{3} =1 ml[/tex]

[tex]a) 3.7 l=3700 cm^{3}\\b)29.6 dm^{3}\\29.6 dm^{3} \rightarrow 29.6\times10^{3} cm^3=29.6\times10^{3} ml = 29.6\times10^{2} cl \:or\:2960 cl\\c)8.1l=8100 cm^{3}\\d)5l=\frac{5}{10^{-3}} m^{3}\\e)5.2 cl=52ml=52 cm^{3}=52\times10^{3}=52000 \:mm^{3}\\f)375 ml=375 cm^{3}\\g) 1300 cm^{3}=1300 ml=13 dl\\h) 8.6 ml= 8.6 cm^{3}\times\: 10^{3}=8600 mm^{3}\\i) 51.8\times 10^{11} l \rightarrow 51.8\times 10^{-11}km^{3}[/tex]