Brody is purchasing some tools for his workshop. He has a budget of $120 and needs to buy at least 14 tools. Each hammer costs $10, and each wrench costs $6. If the solution region represents the number of hammers and wrenches that Brody can buy given his budget, determine which graph represents the solution set to the system of inequalities representing this situation. A. B. C. D.

Answer: $1.35

Step-by-step explanation:

1.29 * 5% = 1.29 * 0.05 = 0.0645

0.0645 rounds down to 0.06

1.29 + 0.06 = 1.35

Answer:

46

Step-by-step explanation:

=> [tex]10+7^2-14+1[/tex]

=> 10+49-14+1

=> 59-14+1

=> 45+1

=> 46

Answer:

46

Step-by-step explanation:

10+7^2-14+1

10+49-14+1

59-14+1

45+1

46

The last 2 shapes.

When you rotate both of them 360 degrees only at 180 and back at 360 it looks same.

Answer:

Every hexagon tessellates.

Step-by-step explanation:

Hexagons always tessellates when perfectly combined and aligned especially when the x sides and the y sides are parallel to each other.

Answer:

B. Pentagon

Step-by-step explanation:

A cross-section is basically the 2D figure created by slicing through a 3D shape.

Take a look at this figure: it's a pentagonal prism. One note to remember is that for all prisms, their cross-sectional shapes are the same shapes as the shape of their bases.

Here, the two bases are pentagons, so we know the cross-section will be a pentagon.

Thus, the answer is B.

~ an aesthetics lover

Answer:

6, 8, 10

Step-by-step explanation:

x y and z are three consecutive even numbers

it means that you can write y = x + 2

and z = y + 2 = x + 4

so

  [tex]y^2-2=2x+5z\\ <=> (x+2)^2-2=2x+5(x+4)\\<=>x^2+4x+4-2=2x+5x+20[/tex]

  [tex]<=> x^2+4x+2=7x+20\\<=>x^2+4x+2-7x-20=0\\<=>x^2-3x-18=0\\<=>(x+3)(x-6)=0<=>(x=-3\ or \ x=6)[/tex]

so the solutions are

x = 6

y = 8

x = 10

Answer:

6, 8, 10

Step-by-step explanation:

x, y, z

y=x+2, z= x+4

Solving the quadratic equation we get:

Answer: 0.5

Step-by-step explanation:

Total bags (U) = 140

Number of bags with both button and zip:

(48 + 47 + x + 22) = 140

117 + x = 140

x = 140 - 117

x = 23

Therefore, probability that bag has button :

Total Number of bags with button:

(Bags with button alone + bags with both button and zip)

(47 + 23) = 70

Probability = (required outcome / Total possible outcomes)

P(bag has button) = (number of bags with button / total number of bags)

P(bag has button) = 70/140 = 0.5

P(bag has button) = 0.5

Answer:

The expression is (310-30)^8

Step-by-step explanation:

ezer lol lol.    

Answer:

d

Step-by-step explanation:

To construct an angle bisector with a compass  D. Place the compass needle on the vertex of the angle, and draw an arc across both legs of the angle.

An angle bisector is a line segment that divides angle into two equal parts.

According to the given statements to construct an angle bisector using a compass span any width of radius in a compass pace in onto the vertex of the angle cut the two arc on the two lines then without changing the radius draw two arcs where the previous arcs have intersected the two lines.

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Answer:

8 x^6  y^3

Step-by-step explanation:

(2x^2y)^3

(ab)^c = a^c  * b^c

2^3  * x^2^3  * y^3

8  * x^2^3  * y^3

We know that a^b^c = a^(b*c)

8  * x^(2*3)  * y^3

8  * x^(6)  * y^3

8 x^6  y^3

Answer:

1) Business costs less. It costs $8 less.

2) they cost the same at 14 HCF both equaling $24. Residential would cost more if it goes over 14 HCF per month.

Answer:

[tex] \sin( \frac{31\pi}{3} ) [/tex]

= 0.537

Answer:

√3/2

Step-by-step explanation:

sin((31π/3)= sin( 10π + π/3)= sin(π/3) =√3/2

Answer:

pls mark as brainliest

Step-by-step explanation:

let the ratio be= 2:1

let the boys be= 2x

let the girls be= 1x=x

x+24=2x

x-2x=-24

-x=-24

so the minus sign will cut

x=24

2x=2×24

Boys in the class are 48

hope it helps you

Answer:

48 boys

Step-by-step explanation:

girls: x, boys: 2x

x+24=2x

24=x

girls=24, boys=48

Step-by-step explanation:

We have,

A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function :

[tex]h=-16t^2 + 36t + 10[/tex] ......(1)

Part (a) :

The maximum height reached by the ball is given by :

[tex]\dfrac{dh}{dt}=0\\\\\dfrac{d(-16t^2 + 36t + 10)}{dt}=0\\\\-32t+36=0\\\\t=\dfrac{36}{32}\\\\t=1.125\ s[/tex]

Part (b) :

The maximum height of the ball is calculated by putting t = 1.125 in equation (1) such that :

[tex]h=-16(1.125)^2 + 36(1.125)+ 10\\\\h=30.25\ m[/tex]

Answer:

RQ=35.51 km

PR=34.62 km

Step-by-step explanation:

Bearing of Q from P = 72 degrees

Bearing of R from Q=320 degrees

320=270+50

Therefore, the second angle of Q is 50 degrees.

[tex]\angle P=72^\circ\\\angle Q=68^\circ\\\angle R=180^\circ-(72^\circ+68^\circ)=40^\circ[/tex]

Using Law of Sines

[tex]\dfrac{r}{\sin R} =\dfrac{p}{\sin P} \\\dfrac{24}{\sin 40} =\dfrac{p}{\sin 72} \\p=\sin 72 \times \dfrac{24}{\sin 40}\\\\p=RQ=35.51$ km[/tex]

Using Law of Sines

[tex]\dfrac{q}{\sin Q} =\dfrac{r}{\sin R} \\\dfrac{q}{\sin 68} =\dfrac{24}{\sin 40} \\q=\dfrac{24}{\sin 40}\times \sin 68\\\\q=PR=34.62$ km[/tex]

Answer:

Step-by-step explanation:

correct one is b

Answer:

B

Step-by-step explanation:

The coordinates are (1, 9).

x = 1

y = 9

Put x as 1, and the output should be 9.

g(1) = ( 3 (1) )²

g(1) = (3)²

g(1) = 9

Answer:

b

Step-by-step explanation:

B is correct since you could use a graphing calculator  to solve this by plugging each answer choice into the calc.

another way is to plug 1 or x into each of the equations and see which choice has 9 as y

Answer:

x = 360° - 132° - 54° - 90°

x = 84°

Step-by-step explanation:

total degree of a cirlce is 360°

Answer:

[tex]84 \: \: degrees[/tex]

Step-by-step explanation:

[tex]90 + 132 + 54 + x = 360 \\ 276 + x = 360 \\ x = 360 - 276 \\ x = 84 \: \: degrees[/tex]

Answer:

117, 118

Step-by-step explanation:

if 2 consecutive numbers have a sum of 235, then

Let the 2 numbers be n and n+1

Given That:

n + n+1 = 235

Simplify and solve:

2n + 1 - 235

2n = 234

n = 117.

If n = 117, then n +1 = 118. These are the 2 consecutive numbers.

Hope this helps.

Good Luck

Answer:

236 AND 237

Step-by-step explanation:

Two consecutive numbers means next two continuous numbers

Answer:

t ≤ 4.24

Step-by-step explanation:

P(t) ≥ 40000 implies

500t/(2t²+9) ≥ 40000

Multiplying through by t², we have

500t ≥ 40000(2t²+9)

500t/40000 ≥ 2t²+9

Collecting like terms

0.0125t  ≥ 2t²+9

0  ≥ 2t²+ 9 - 0.0125t

2t²+ 9 - 0.0125t  ≤ 0

2t²- 0.0125t + 9 ≤ 0

Using the quadratic formula,

[tex]t = \frac{-(-0.0125) +/-\sqrt{(-.0125)^{2} - 4 X 2 X 9} }{2 X 2} \\= \frac{0.0125 +/-\sqrt{(0.00015625 - 288} }{4}\\= \frac{0.0125 +/-\sqrt{-287.9998} }{4}\\= \frac{0.0125 +/-16.97i }{4}\\=0.00313 + 4.24i or 0.00313 - 4.24i[/tex]

The factors of the equation are (t - 0.00313 -4.24i) and (t - 0.00313 + 4.24i)

So, (t - 0.00313 -4.24i)(t - 0.00313 + 4.24i) ≤ 0

(t - 0.00313)² - 4.24² ≤ 0

(t - 0.00313)² ≤ 4.24²

taking square-root of both sides,

√(t - 0.00313)² ≤ √4.24²  

t - 0.00313 ≤ 4.24

t ≤ 4.24 + 0.00313

t ≤ 4.24313 ≅ 4.24

t ≤ 4.24

Answer:

12.5%

Step-by-step explanation:

8 / 64*100 =

(8 * 100) / 64 =

800 / 64 = 12.5

Hope this helped buddy! :D

Answer:

total memory = 8 GB + 64 GB

= 72 GB

extra memory = 64 GB

so percentage increase of memory

= ( 64 GB / 72 GB ) × 100

= 88.89 %

Answer:

[tex]\frac{8}{27}[/tex] is the probability that a player draws out two tiles of the same color assuming they are drawing one tile from each bag.

Step-by-step explanation:

In each bag there are red, green, and blue tiles, meaning that no matter which color is pulled out first there is always some probability that the second tile will be the same color. So, we can set up three possible outcomes:

Red: The player pulls out a red tile first. This has a [tex]\frac{1}{9}[/tex] probability of happening. Then in order to succeed for the problem, the next tile also needs to be red which has a [tex]\frac{6}{12}[/tex] probability attached to it. [tex]\frac{1}{9}[/tex] × [tex]\frac{6}{12}[/tex]=[tex]\frac{1}{18}[/tex] probability of happening.

Green: There is a [tex]\frac{5}{9}[/tex] probability of the player pulling out a green tile first. In this case we want to calculate the probability of the second tile being green, which would be [tex]\frac{4}{12}[/tex]. [tex]\frac{5}{9}[/tex]×[tex]\frac{4}{12}[/tex]=[tex]\frac{5}{27}[/tex].

Blue: There is a [tex]\frac{3}{9}[/tex] probability of the first tile being blue in which case we are hoping for the second tile to be blue as well. The probability of the second tile being blue is [tex]\frac{2}{12}[/tex] on its own, and them both being blue is  [tex]\frac{3}{9}[/tex]×[tex]\frac{2}{12}[/tex]=[tex]\frac{1}{18}[/tex]

Adding [tex]\frac{1}{18}[/tex]+[tex]\frac{1}{18}[/tex]+[tex]\frac{5}{27}[/tex] we get the answer [tex]\frac{8}{27}[/tex].

Answer:

days  ≤ 6

Step-by-step explanation:

she gas 160 pages out of the 380 pages, so she needs to write other:

380 - 160 = 120 pages.

If she writes a minimum of 20 pages per day, then the maximum number of days in which she will finish the book is:

20*d = 120

d = 120/20 = 6

so d is the number of days, and we have that:

d ≤ 6.

The equality is when she only writhes 20 pages per day, and if she writes more than that, then the number of days needed will be smaller than 6.

Answer:

2x2−12x+7=0

a≠1,a=2 so divide through by 2

22x2−122x+72=02

which gives us

x2−6x+72=0

Step-by-step explanation:

Answer:

Length = 7 cm

Width = 2 cm

Step-by-step explanation:

Perimeter of rectangle = 18 cm

Let length of rectangle = [tex]l[/tex] cm

Let width of rectangle =  [tex]w[/tex] cm

As per given statement, length is 3 cm more than the twice of its width:

Writing equation:

[tex]l = 2\times w +3 ....... (1)[/tex]

Formula for perimeter of a rectangle is given as:

[tex]P = 2 \times (Length + Width)[/tex]

OR

[tex]P = 2 \times (l + w)[/tex]

Putting values of P as given and [tex]l[/tex] by using equation (1):

[tex]18 = 2 \times (2w +3 + w)\\\Rightarrow \dfrac{18}2 = 3w +3 \\\Rightarrow 9 = 3w +3\\\Rightarrow 3w = 9 -3\\\Rightarrow w = \dfrac{6}{3}\\\Rightarrow w = 2\ cm[/tex]

Putting value of [tex]w[/tex] in equation (1):

[tex]l = 2\times 2 +3 \\\Rightarrow l = 4+3\\\Rightarrow l = 7\ cm[/tex]

So, the dimensions are:

Length = 7 cm

Width = 2 cm

Answer:

-x^2+3x+3;  5

Step-by-step explanation:

polynomial is -x^2+3x+3

when x=2 then -2^2+3*2+3=-4+6+3=5

The solution is Option B.

The value of the equation is A = -x² + 3x + 3 , and when x = 2 , A = 5

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = x + 3x² + 2x - 3 - 4x² + 6   be equation (1)

On simplifying the equation , we get

A = 3x² - 4x² + x + 2x - 3 + 6

A = -x² + 3x + 3

Now , when x = 2

Substitute the value of x = 2 in the equation , we get

A = - ( 2 )² + 3 ( 2 ) + 3

A = -4 + 6 + 3

A = 9 - 4

A = 5

Therefore , the value of A is 5

Hence , the equation is A = -x² + 3x + 3

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Answer:

here

Step-by-step explanation:

a= 4. 8, 12

b= 4, 7, 10

d= 3, 6, 11

e= 3, 12, 27

Answer:

35 cm

Step-by-step explanation:

As shown in the image attached, the A large rectangle is made by joining three identical small rectangles,

The width of one small rectangle is x cm and the length of one small rectangle is 2x cm. Therefore the perimeter of the small rectangle is given as:

2(length + width) = Perimeter

2(2x + x) = 21

2(3x) = 21

6x = 21

x = 21/6 = 3.5 cm

x = 3.5 cm

From the image attached, the width of the large rectangle is 2x (x + x) and the length is 3x (2x + x). Therefore, the perimeter of the large rectangle is:

2(length + width) = Perimeter

2(3x + 2x) = Perimeter

Perimeter = 2(5x)

Perimeter = 10x

Perimeter = 10(3.5)

Perimeter = 35 cm

Answer:

[tex]\frac{13}{24}[/tex]

Step-by-step explanation:

=> [tex]\frac{3}{8} +\frac{1}{6}[/tex]

LCM = 24

=> [tex]\frac{9+4}{24}[/tex]

=> [tex]\frac{13}{24}[/tex]

Answer:

[tex]\frac{13}{24}[/tex]

Step-by-step explanation:

[tex]\frac{3}{8} +\frac{1}{6}[/tex]

[tex]\frac{3 \times 6}{8\times 6} +\frac{1\times8}{6\times8}[/tex]

[tex]\frac{18}{48} +\frac{8}{48}[/tex]

[tex]\frac{18+8}{48}[/tex]

[tex]\frac{26}{48}[/tex]

[tex]\frac{13}{24}=0.54166...[/tex]