A tablespoon is equivalent to about 4 teaspoons. A recipe calls for 2/3 cup of sugar for every 1/2 teaspoon vanilla. What is the unit rate in tablespoons
per cup?

Answer:

$9.89

Step-by-step explanation:

1. Divide 15 from 100, which leaves you with 0.15%.

2. Multiply 8.60 and .15; that will get you 1.29.

3. Finally, add 1.29 to 8.60 to get your answer!  

Answer:

b 321 and 322

Step-by-step explanation:

because 321.5 is between 321 and 322

Answer:

b = 180 - a - c

Step-by-step explanation:

To solve for b given the literal equation, a + b + c = 180:

Subtract a and c from both sides:

a + b + c = 180

a - a + b + c - c = 180 - a - c

b = 180 - a - c

Answer:

5

Step-by-step explanation:

14x - 8x = 30

5x = 30

x = 6

..........

Answer:

solution

14x=8x+30

collect like terms

30=8x-14x

30= -6x

divide by -6x

30/-6 = -6x/-6

X= –5

Answer:

17 sides

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here sum = 2700° , then

180°(n - 2) = 2700° ( divide both sides by 180° )

n - 2 = 15 ( add 2 to both sides )

n = 17

The polygon has 17 sides

Answer:

5k a month

Step-by-step explanation:

Answer:

1. r^5

2. st^2

3. qr (the two "s" cancel each other out)

4. z (the x^2's and y^2's cancel each other out)

5. m (the n^2's and o's cancel each other out)

6. x

7. z^-1

8. a (the b^2's cancel each other out)

9. d^4 f^2

Step-by-step explanation:

When exponential variables are divided, the base variable stays the same, and the exponents are subtracted. For example, for #6, x^2/x^1 (x doesn't need an exponent but for the sake of explanation is ^1). We subtract the exponents and since anything "to the power of 1" will just be the base number, for example 6^1 will still be 6.

The simplified expressions are given below.

Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.

1) We have the division rule of exponents that,

xᵃ /  xᵇ = xᵃ⁻ᵇ

Using this,

r⁶ / r = r⁶⁻¹ = r⁵

2) s³t⁴ / s²t² = s³⁻² t⁴⁻² = st²

3) q³r²s / q²rs = q³⁻²r²⁻¹s¹⁻¹ = qr

s⁰ =  1, since any number raised to zero is always one.

4) x²y²z / x²y²z

Both numerator and denominator are same.

So the quotient is 1.

5) m³n²o / m²n²o

n²o gets cancelled both in the numerator and denominator.

m³n²o / m²n²o = m³⁻² = m

6) x² / x = x²⁻¹ = x

7) z⁴ / z⁵ = z⁴⁻⁵ = z⁻¹

8) a²b² / ab²

b² gets cancelled since they are same in both numerator and denominator.

a²b² / ab² = a²⁻¹ = a

9) d⁵f³ / df = d⁵⁻¹f³⁻¹ = d⁴f²

Hence the simplified form of each of the expressions is given.

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Answer:

Two hours later his brother leaves from first and maple and comes after him on a moped travelling 27 mph, His uphill speed was 8 miles per hour slower than his downhill speed.

Step-by-step explanation:

Answer:

161 donuts

Step-by-step explanation:

(231+89)/2 then add one more donut as the question asked for at least $231

320/2 = 160 + one more donut = 161 donuts have to sold to make at least $231.

You have add the machine price as he wouldn't be making a profit off it if he didn't surpass what he spent for it.

Check your work by doing 161 times 2 minus 89 minus the 1 donut added and you'll get the $231. Not subtracting the one shows the profit of a dollar aka at least $231

Answer:

43.57

Step-by-step explanation:

Line up the decimal points.

Add a 0 for 1.07 so the numbers have the same length.

01 . 0 7

42. 5 0

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

43.57

Answer:

1.07+42.5

=1.07+42.5

=43.57

Step-by-step explanation:

Add the numbers

Make 42.5 equal to 42.50 for better understanding when calculating

Answer:

it's the third one. x=47/3

Step-by-step explanation:

if needed in decimal form: 15.666

mixed number form: 15 2/3

Answer:

Well, what's the question?

Answer:

What is the best choice for the equation of the line of best fit shown?

b) y = -1.5x + 23

What would the value of y be for a point at x = 8?

b) 11

Did this on EDGE!

The best choice for the equation of the line shown in the graph is y = -1.5x + 23. the correct option is B.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

In the given graph the data is varying along the line y = -1.5x + 23. Where y is the dependent variable and x is the independent variable.

Therefore, the correct option is B.

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Answer:

The answer would be 32

Step-by-step explanation:

equation would be: 6+2(12+1)

which then turns into 6+24+2

which equals 32

Answer:

32

Step-by-step explanation:

Since a = 3, b = 4, and c = -1

The Equation is:

= 2 × (3) + 2 × [(3) × (4) - (-1)]

= 6 + 2 × [12 - (-1)]

= 6 + 2 × (12 + 1)

= 6 + 2 × 13

= 6 + 26

= 32

Answer:

1.222.......

Step-by-step explanation:

11/9＝1.2222

so it is between 1＆2

Answer:

one senior citizen ticket costs 11 dollars

one student ticket costs 9 dollars

Step-by-step explanation:

Let V be the volume of the tank. The inlet pipe fills the tank at a rate of

V / (5 hours) = 0.2V / hour

and the outlet pipe drains it at a rate of

V / (8 hours) = 0.125V / hour

With both valves open, the net rate of water entering the tank is

(0.2V - 0.125V ) / hour = 0.075V / hour

If t is the time it takes for the tank to be full, then

(0.075V ) / hour • t = V

Solve for t :

t = V / ((0.075V ) / hour)

t = 1/0.075 hour

t ≈ 13.333 hours

Answer:

Head Jamz

Step-by-step explanation:

Noisy Music Regular Price $250 Clearance Special - 15% off

If 15% is off then we pay only 100-15 =85% from the original price.

$250 / 100 % = x / 85%

x= 250*85/100 = $ 212.5

Loud N Sharp Regular Price $200 $5 off for every $100 spent

If the price is 200 then will get $5+$5 =$10 discount

Final price will be 200-10 = $ 180

Music Mart Regular Price $300 Mail-in rebate for $115

$300-$115 = $ 185

Head Jamz Regular Price $225 Manager special – 25% off

If 25% is off we only pay 75% of the original price

$225/ 100% = x / 75%

x= 225*75/ 100 = $168.75 is the lowest price

Step-by-step explanation:

5(3x+2)-2(4x-1)

15x+10-8x+2

7x+12

Answer:

I graphed the answer above in the image

Answer:

13;14;17;19;20;21;23;25

Step-by-step explanation:

this is so simple

Answer:

[tex]x=0[/tex]

Step-by-step explanation:

[tex]5(3x-2)=-x-10~(Given)\\\\15x-10=-x-10~(Distribute~5~to~3x-2)\\\\15x-10+x=-x-10+x~(Add~x~on~both~sides)\\\\16x-10=-10~(Simplify)\\\\16x-10+10=-10+10~(Add~10~on~both~sides)\\\\16x=0~(Simplify)\\\\\frac{16x}{16}=\frac{0}{16}~(Divide~16~on~both~sides)\\\\x=0~(Simplify)[/tex]

Step-by-step explanation:

Area=(a+b)/2 x h

a=6x+3

b=4x-5

h=-5x+10

Area= -25x^2+55x-10

Answer:

What do you need help on there’s nothing??

Answer:

4,800 student's actually enroll.

Step-by-step explanation:

40% of 30,000 is 12,000.

40% of 12,000 is 4,800.

Answer:15 should be on the x and add all together with the 69

Step-by-step explanation: