3. (02.01)
Solve for x: 3(x + 1) = -2(x - 1) + 6. (1 point)

a. 1
b.4
c.5
d.25

Answer:

The mass of the $4.60/lb tea that should be used in the mixture is 10 lb

The mass of the $5.75/lb tea that should be used in the mixture is 8 lb

The mass of the $6.50/lb tea that should be used in the mixture is 2 lb

Step-by-step explanation:

The parameters of the question are;

The worth of the three teas are

Tea A = $4.60/lb

Tea B = $5.75/lb

Tea C = $6.50/lb

The mass of the mixture of the three teas = 20 lb

The worth of the mixture of the three teas = $5.25 per pound = $5.25/lb

The amount of the $4.60 in the mixture = The sum of the amount of the other two teas

Therefore, given that the mass of the mixture = 20 lb, we have in the mixture;

The mass of tea A + The mass of Tea B + The mass of Tea C = 20 lb

The mass of tea A = The mass of Tea B + The mass of Tea C

Therefore;

The mass of tea A + The mass of tea A = 20 lb

2 × The mass of tea A in the mixture = 20 lb

The mass of tea A in the mixture = 20 lb/2 = 10 lb

The mass of tea A in the mixture = 10 lb

The mass of Tea B + The mass of Tea C = The mass of tea A = 10 lb

The mass of Tea B + The mass of Tea C = 10 lb

The mass of Tea B  = 10 lb - The mass of Tea C

Where the mass of Tea C in the mixture = x, we have;

The mass of Tea B in the mixture = 10 lb - x

The cost of the 10 lb of tea A = 10 × $4.60 = $46.0

The worth of the tea mixture = 20 × $5.25 = $105

The worth of the remaining 10 lb of the mixture comprising of tea A and tea B is given as follows;

The worth of Tea B + The worth of Tea C in the mixture = $105.00 - $46.00 = $59.00

Therefore, we have;

x lb × $6.50/lb + (10 - x) lb × $5.75/lb = $59.00

x × $6.50 - x × $5.75 + $57.50 = $59.00

x × $0.75 = $59.00 -  $57.50 = $1.50

x =  $1.50/$0.75 = 2 lb

∴ The mass of Tea C in the mixture = 2 lb

The mass of Tea B in the mixture = 10 lb - x = 10 lb - 2 lb = 8 lb

The mass of Tea B in the mixture = 8 lb

Therefore, since we have;

Tea A = $4.60/lb

Tea B = $5.75/lb

Tea C = $6.50/lb

The mass of tea A in the mixture = 10 lb

The mass of tea B in the mixture = 8 lb

The mass of tea C in the mixture = 2 lb, we find;

The mass of the $4.60/lb tea that should be used in the mixture = 10 lb

The mass of the $5.75/lb tea that should be used in the mixture = 8 lb

The mass of the $6.50/lb tea that should be used in the mixture = 2 lb.

Answer:

13) Luis is wrong because he read the 80* as if his starting point was P. He needs to now take away 45 because that is the angle PTQ.

14) 165* I'm pretty sure because you just do 45 plus 60 since the centred one would only have a view of 45 from what I understand and the other two still have a view of 60 each. Total is 165.

Answer:

8. AC = 29

x = 6

AB = 6

9. BC = 15

3x = 15

x = 5

BD = 3x +4x-13

= 22

10. <PTR = 80

11. < PTQ = 45

12. <QTS = 130 - 45 = 85

13. Luis didn't subtract 80 by 40

14. 180

Answer:

X = Y(W + Z)

Step-by-step explanation:

X/Y - Z = W

X/Y = W + Z

X = Y(W + Z)

Answer:

D

Step-by-step explanation:

well the 2 negative becomes a plus so it is really

3+2=5

Answer:

36

Step-by-step explanation:

Answer:

-0.5 and -1/2; 11/20 and 0.55; -1/50 and -0.02

Step-by-step explanation:

Answer:

-0.5 and -1/2; 11/20 and 0.55; -1/50 and -0.02

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I would say C because,

Even + Even = Even.

Odd + Odd = Odd.

So simply, you can't have an even number if you add it to a odd.

Even + Odd = Odd

awnser.

c. aleays an odd number

Answer:

try using desmos its a graphing calculator

Step-by-step explanation:

Answer:

x intercept = (3.6, 0)

y intercept = (0, -2)

Step-by-step explanation:

i did this on khan academy so it's easy

you're welcome

Answer:

[tex]y = -\frac{2}{3} x - \frac{8}{3}[/tex]

Step-by-step explanation:

[tex]2x - 3y = 8\\[/tex]

Isolate y

[tex]-3y = 8-2x\\-3y = -2x+8[/tex]

Divide both sides of the equation by -3

[tex]\frac{-3y}{-3} = \frac{2x}{-3} +\frac{8}{-3} \\\\y = -\frac{2}{3} x - \frac{8}{3}[/tex]

Assuming 129 is given in base 10, notice that

129 = 128 + 1 = 2⁷ + 1

More clearly, we have

129 = 1•2⁷ + 0•2⁶ + 0•2⁵ + 0•2⁴ + 0•2³ + 0•2² + 0•2¹ + 1•2⁰

so that

129 = 1000 0001₂

(I put a space between each block of 4 bits for ease of reading)

Explanation:

There are 5 letters, so there would be 5! = 5*4*3*2*1 = 120 different permutations; however, there are 2 letter 'o's meaning we have double counted. To correct this, divide by 2 to get 120/2 = 60.

If there was a way to tell the two 'o's apart, then the answer would be 120.

The total number of ways the letter in the word "spoon" can be arranged is 120 and this can be determined by using the given data.

Given :

Word  --  Spoon

The following steps can be used in order to determine the total number of ways the letter in the word spoon is arranged:

Step 1 - According to the given data, the word is 'spoon'.

Step 2 - The total number of letters in the word 'spoon' is 5.

Step 3 - So, the total number of ways the letter in the word "spoon" can be arranged is:

[tex]= 5 \times 4\times 3\times 2 \times 1[/tex]

Step 4 - Simplify the above expression.

= 120

Therefore, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/1216161

Answer:

{x,y,z}={2,2,−2}

Step-by-step explanation:

Answer:

198 inches^3

Step-by-step explanation:

Volume of a rectangular prism = Length × width × height

Length = 11 inches

Width = 6 inches

Height= 3 inches

Volume of a rectangular prism = Length × width × height

= 11 inches × 6 inches × 3 inches

= 198 inches^3

The volume of the rectangular prism with dimensions 11 inches long, 6 inches wide, 3 inches high is 198 cubic inches

awnser:

k= 75

5+13= 18                             = k

and your trying to get to 93 so 75+18=93 so

75=k

Step-by-step explanation:

Answer:

x ( > or = ) 5/9

Step-by-step explanation:

● 2(1 + x) ( > or = ) 11 - 3x

● 2 + 2x ( > or = ) 11 - 3x

Add 3x to both sides

● 2 + 2x + 3x ( > or = ) 11 - 3x + 3x

● 2 + 5x (> or = ) 11

Substract 2 from both sides

● 2 + 5x -2 ( > or = ) 11 -2

● 5x (> or =) 9

Divide both sides by 5

● 5x/5 ( > or = ) 5/9

● x ( > or = ) 5/9

Answer:

height= 4.8cm

Step-by-step explanation:

volume= length×width× height given the volume and length and width, 288=12×5×h

288=60h

divide both sides by 60

h=4.8cm

h = 4,8 cm

m = 1152 g

V = l×w×h

h = V/l×w

= 288cm³/12cm×5cm

= 288cm³/60cm²

= 4,8 cm

1cm³ .............. 4g

288cm³ ........ xg

x = 288cm³×4g/1cm³ = 1152 g

Answer:

sounds like .063 to me

Answer:

75

Step-by-step explanation:

If the triangles are similar, it means the ratio between the two give sides is the same. As seen from the smaller triangle the ratio of the two top sides would be 16:50 or 8:25.

Since the first side of the bigger triangle (24) is three times 8 (it's ratio side), then the other side must be 3x25 = 75, which maintains the ratio 8:25 between the two sides (24:75).

Hope this helped!

Answer:

v = 200 m/s

Step-by-step explanation:

The formula for the speed of a tsunami in deep water is given by :

[tex]v=\sqrt{gh}[/tex]

Here,

g is acceleration due to gravity

h is the depth of the ocean in meters.

We need to find the speed at which the tsunami that started with an earthquake in Sumatra struck Sri Lanka about 1550 km away. The Bay of Bengal is 4 km (4000 m) deep.

It means we need to find v if h = 4000 m

So,

[tex]v=\sqrt{10\times 4000}\\\\v=200\ m/s[/tex]

So, the speed of the tsunami is 200 m/s.

Step-by-step explanation:

h(n)=4n+ 4 find h (-3)

h(-3)=4(-3)+4

=-12+4

=--8

Answer: -8

Step-by-step explanation: h(n) = 4n + 4 means that

if we put an n into our function, a 4n + 4 comes out.

So here, we're putting a -3 into our function which means that

a 4(-3) + 4 comes out which simplifies to -12 + 4 or -8.

So h(-3) = -8 or the value of the function at -3 equals -8.

Answer:

9-5[x+4] = 16 , 3[2-x] = 3

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

..............

Answer:

True

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

multiply each, for example, -30 x-15 = 4500

Answer:

A) x/4 + y/5 = 2

B) x/2 + y = - 3

Step-by-step explanation:

We multiply A) by -4 and B) by 2

A) -x - 4/5 y = -8

B) x + 2y = -6 then add A) and B)

1.2y = -14

y = 11 (2/3) = -11.6666666...

x + 2y  = -6

x = -6 -2*-11.6666666

x =  -23.3333332

well i think maggie would be 6

Step-by-step explanation:

6•3=18

18-4=14

14+6=20

Answer:

[tex]\huge\boxed{\text{Maggie = 6 years, Brother = 21 years}}[/tex]

Step-by-step explanation:

We can create two equations based on the word problems, where [tex]m[/tex] is Maggie's age and [tex]b[/tex] is her brother's age.

[tex]m + b = 27[/tex]

[tex]b = 4m - 3[/tex]

We can now substitute [tex]4m-3[/tex] in as [tex]b[/tex] into [tex]m+b=27[/tex].

[tex]m + (4m-3) = 27\\\\5m - 3 = 27\\\\5m = 30\\\\m = 6[/tex]

Now that we know the value of [tex]m[/tex], we can substitute it into [tex]m+b=27[/tex].

[tex]6 + b = 27\\\\b = 27-6\\\\b = 21[/tex]

Hope this helped!

Answer:

A. 5x = 45

Step-by-step explanation:

To check, substitute 9 for x in each equation.

A. 5*9 = 45

B. 2*9 ≠ 20

C. 4 + 9 ≠ 12

D. 9 +7 ≠ 26