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3 years ago

It takes 3/4 tsp. of vanilla to make a batch of cookies. How many tsp. would I needed for 4 batches of cookies?

Mathematics

1 answer:

IRISSAK [1]3 years ago

7 0

Answer:

3/1 tsp. or 3 tsp.

Step-by-step explanation:

3/4 times 4

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A school bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s^2. How much time does it take to travel

leva [86]

The school bus will take 5.34 seconds to travel 95.1 m if the bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².

<h3>What is a quadratic equation?</h3>

Any equation of the form $\rm ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

$\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}$

We have:

A school bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².

From the second equation of motion:

$\rm s = u + \dfrac{1}{2}at^2$

We have given:

s = 95.1 m

u = 26.8 m/s

a = 4.73 m/s²

$\rm 95.1 = 26.8 + \dfrac{1}{2}(4.73)t^2$

The above equation is a quadratic equation:

After simplification:

$\rm \dfrac{4.73}{2}t^2=68.3$

$\rm t^2=28.879$

t = 5.373 seconds ≈ 5.34 seconds

Thus, the school bus will take 5.34 seconds to travel 95.1 m if the bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².

Learn more about quadratic equations here:

brainly.com/question/2263981

#SPJ1

4 0

2 years ago

Tina starts her paper route at the corner of two streets. She travels 8 blocks south, 13 blocks west, 8 blocks north, and 6 bloc

suter [353]

If the starting point is (0,0), then she goes to (0, -8), then to (-13, -8), then to (-13, 0), then to (-7, 0). (-7, 0) is 7 units from the starting point. So, 7 blocks.

6 0

3 years ago

What are the zeros for both functions

sammy [17]

Answer:

the zero of a function is the value of x which makes the final value zero

First Equation:

So let 25 - 2x equal to 0

25 - 2x = 0

x = 12.5

Second Equation:

Let 2x² - 11x - 6 equal to zero

2x² - 11x - 6 = 0

2x² - 12x + x - 6 = 0 (Splitting the middle term)

2x(x - 6) + 1(x - 6) = 0

(2x + 1) (x - 6) = 0

So we can transpose either one of the brackets below the zero

(2x + 1) = 0 or (x-6) = 0

x = -1/2 or x = 6

5 0

4 years ago

If the simple interest on $3,000 for 8 years is $1,680, then what is the interest rate?

madam [21]

We need to use the formula for simple interest which is
I= prt
Where I is the amount of money you earned or pay in interest
p is the principal, the amount you deposited or borrowed
r is the interest rate expressed as a decimal
t is time in terms of years

In this problem, I= 1,680
p= 3000
t= 8
'. r is what we are looking for.

Substituting the numbers into the simple interest formula, we get
I=. p r t
1,680=(3000)(r)(8). Multiplying
1,680= 24,000r Divide both sides by 24,000
0.07= r
So, the percentage is (0.07)(100)= 7%...

8 0

3 years ago

Help please solve for x

Y_Kistochka [10]

Answer: x= 47 (If that says 3x+2)(the picture is a little blurry)

Step-by-step explanation:

Linear pairs of angles sum to 180.

37+(3x+2) =180

Combine like terms

39+ 3x = 180

Subtract 39 from both sides

3x = 141

Divide both sides by 3

x= 47

3 0

3 years ago