(-4b3 + b – 1) + (6b – 6) =

Step-by-step explanation:

4x+2+95=-7+17x

104=13x

x=8

for angle U=34 degrees

the answer is C

Answer:

Cost of each chocolate bar  = $2.65

Cost of each blow pop  = $1.25

Step-by-step explanation:

Let x = Cost of chocolate bar

y= Cost of blow pops

We can make system of equations and find value of x and y

You bought 5 chocolate bars and 8 blow pops for $23.25.[tex]5x+8y=23.25[/tex]

Your sister bought 2 chocolate bars and 13 blow pops for $21.55. [tex]2x+13y=21.55[/tex]

Let:

[tex]5x+8y=23.25--eq(1)\\2x+13y=--eq(2)[/tex]

Multiply eq(1) with 2 and eq(2) with 5 and subtract

[tex]10x+16y=46.5\\10x+65y=107.75\\- \ \ \ - \ \ \ \ \ \ - \\------\\-49y=-61.25\\y=\frac{-61.25}{-49} \\y=1.25[/tex]

So, value of y = 1.25

Putting value of y in eq(1) to find value of x

[tex]5x+8y=23.25\\5x+8(1.25)=23.25\\5x+10=23.25\\5x=23.25-10\\5x=13.25\\x=13.25/5\\x=2.65[/tex]

Value of x = 2.65

So, Cost of each chocolate bar = x = $2.65

Cost of each blow pop = y = $1.25

Answer: 14 cupcakes

Step-by-step explanation:

sugar available is 7.33 cups, the 1/3 cup of sugar is no use due to the fact that you need 1/2 cup of sugar to make a single cupcake.

for Spanish readers: el azúcar disponible es de 7.33 tazas, el 1/3 de taza de azúcar es inútil debido al hecho de que necesitas 1/2 taza de azúcar para hacer un solo cupcake.

for French readers:

le sucre disponible est de 7,33 tasses, 1/3 de tasse de sucre n'est pas utile car vous avez besoin de 1/2 tasse de sucre pour faire un seul petit gâteau.

hopefully this helped! :D

Answer:

one cupcake= 1/2 cup of sugar

Total sugar availability: 7 and 1/3 or 7.33

Now go ahead and divide 7.33/.50

Notice that for every cup of sugar you can make exactly 2 cupcakes

Therefore you can make a total or 7*2=14 cupcakes

You are unable to utilize the rest of the 1/3 cup because you need 1/2 to make a singular cupcake

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Answer:

7

Step-by-step explanation:

13-6=7 the other line doesn't affect the answer because it isn't negative

Answer:

7

Step-by-step explanation:

»Solve inside the absolute value sign | |

|13 - 6| = |7|

The absolute value of 7 is just 7:

|7| = 7

Answer: 7

Answer:

15 feets per second

Step-by-step explanation:

Given that:

Distance traveled by plane = 300 feets

Time taken by plane to travel such distance = 20 seconds

Rate at which the plane is diving is obtained thus :

Distance / time

= 300 feets / 20 seconds

= 15 feets / second

Hence, the plane is diving at a rate of 15 feets per second.

Answer:

9.025 inches

Step-by-step explanation:

Let the length be represented by:

[tex]L = mt+L_0[/tex]

Where [tex]L[/tex] is the length of candle at time [tex]t[/tex]

[tex]m[/tex] is the rate at which the candle is burning.

And [tex]L_0[/tex] is the initial length of the candle.

As per the question statement, let us put the given values in the equation.

[tex]11.2 = m\times 33 + L_0 .... (1)\\10.75 = m\times 51+L_0 ..... (2)[/tex]

Subtracting (1) from (2):

[tex]0.45 = -18m\\\Rightarrow m = -0.025[/tex]

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

[tex]11.2 = -0.025 \times 33+L_0\\\Rightarrow L_0 = 12.025[/tex]

Therefore, the equation becomes:

[tex]L = -0.025t + 12.025[/tex]

Now, we have to find the height of candle after 2 hours.

2 hours mean 120 minutes.

[tex]L = -0.025 \times 120 + 12.025\\\Rightarrow L = 9.025\ inches[/tex]

Therefore, the height of candle is 9.025 inches.

Answer:

0.08333

Step-by-step explanation:

3(1/6)^2

1/6=0.1666

1/6^2=0.02777

3*0.02777=0.08333

Answer:

1/12

Step-by-step explanation:

This is the answer because:

1) 1/6^2 = 1/36

2) 1/36 x 3 = 3/36 = 1/12 ↔ 3 ÷ 3 = 1 & 36 ÷ 3 = 12 = 1/12

Therefore, the answer is 1/12.

Hope this helps! :D

Answer:

210

14x15=210

Step-by-step explanation:

14x15 =210

Answer: $1.4

Step-by-step explanation:

Given that:

Discounted price roses = $1

Amount saved = $4

Regular price - discounted price = amount saved

x - 10(1) = 4

x - 10 = 4

x = 4 + 10

x = $14

Regular price of 10 roses = $14

Regular price per rose = $14 / 10 = $1.4

Answer:

Day 3/4

Step-by-step explanation:

2 *2 = 4. 4 * 4 = 16. 16 * 16 = 256. 256 *256 = 65,536

Answer:

-1

Step-by-step explanation:

Given the equation :

2(3x – 1) > 4x – 6

Open the bracket :

6x - 2 > 4x - 6

Collect like terms

6x - 4x > - 6 + 2

2x > - 4

Divide both sides by 2

2x /2 > - 4/2

x > - 2

Since x > - 2

-10, - 5, - 3 are all < - 2

Hence, the only option greater than - 2 is - 1

Answer:

The probability is 2/5

Step-by-step explanation:

Here, we want to calculate the probability that the first person will sit in a yellow roller coaster car

The number of cars to select from is 6 + 9 = 15 cars

The number of yellow cars is 6

So the probability that the first person selects a yellow roller coaster car to seat is 6/15 = 2/5

Answer:

Step-by-step explanation:

-2 1/6-1 1/4 +1 3/4

[tex]=-\frac{13}{6} -\frac{5}{4} +\frac{7}{4} \\(L.C.M. ~of ~6,4,4=12)\\=\frac{-26-15+21}{12} \\=-\frac{20}{12}\\=-\frac{5}{3} \\=-1 \frac{2}{3}[/tex]

Answer:

40.5 inches

Step-by-step explanation:

15.2*2+5.05*2=30.4+10.1=40.5

Answer:

Yes

Step-by-step explanation:

Answer: Add two circles to the left and a square to the right

Step-by-step explanation:

Answer:

$37.

Step-by-step explanation:

Firstly, let's set the price of each pair of shoe to be x.

Since each pair of shoes costs the same, and there are three pairs, we can set the original price to be 3x.

Now, to apply the shipping charge, all we have to do is add 7.50 to 3x, getting 3x + 7.5.

Next, to apply a 6% tax, we can multiple the whole expression by (100% + 6%), getting (3x + 7.5) [tex]\cdot[/tex] 106%.

Since the whole bill foots to a total of $126.81, we can set the final equation to be:

[tex](3x + 7.5) \cdot 106\% = $126.81[/tex]

[tex](3x + 7.5) \cdot \frac{106}{100} = $126.81[/tex]

[tex]3x + 7.5 = $126.81 \cdot \frac {50}{53}[/tex]

[tex]3x = $119.6 - 7.5[/tex]

[tex]3x = 112.1[/tex]

[tex]x \approx \$37[/tex]

Hope this helped!

Answer:

x = -96

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

1/2x + 18 = 1/4x - 6

Step 2: Solve for x

Answer:

Ummmm... Both?

Step-by-step explanation:

66k+9 OR 3(22K+3)

Answer:

k>10

k>-4

Step-by-step explanation:

-10k<-100

k>10

you flip the sign when dividing by a negative

-8k<32

k>-4

Answer:

so what should we do it is incomplete answer

Step-by-step explanation:

42

Answer:

14

Step-by-step explanation:if she cut the pices into 1/6 pices she would have 14 of them so the answer is 14.

Answer

.16/.03220 is 4.96894409938   rounded= 5.0

Step-by-step explanation:

Answer: 29

Step-by-step explanatio?

Answer:

S = 6r + 14

Step-by-step explanation:

14 is the intercept(which wont increase), and 6 is the slope which will increase with every ride

Answer:

[tex] 48\pi \:m/min[/tex]

Step-by-step explanation:

Diameter = 48 m

Therefore radius r = 48/2 = 24 m

[tex]Area \: of \: circular \: oil \: slick \\ A = \pi {r}^{2} \\ differentiating \: w \: r \: to \: t \: on \: \\ both \: sides \\ \\ \frac{dA}{dt} = \frac{d}{dt} (\pi {r}^{2} )\\ \\ \frac{dA}{dt} =\pi \frac{d}{dt} {r}^{2} \\ \\ \frac{dA}{dt} =\pi \times 2{r}\\ \\ \frac{dA}{dt} =2\pi {r} \\ \\ \bigg(\frac{dA}{dt} \bigg)_{r=24} =2\pi \times {24} \\ \\ \bigg(\frac{dA}{dt} \bigg)_{r=24} =48\pi \: m \: per \: min[/tex]