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solong [7]
3 years ago
11

Katie bought 2 1/2 lb of green apples and 3 2/3 lb of red apples to make pies.How many pounds of apples did Katie buy? A. 6 1/2

B. 6 1/6 C. 5 1/2 D. 5 1/6
Mathematics
1 answer:
aliina [53]3 years ago
8 0
A, becase 2/12 apples were sold
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A factory whistle blows every 30 minutes. The clock tower chimes every 15 minutes. If they both sounded at 1:00 p.M.,at what tim
madam [21]

Answer:

1.30 p.M.

Step-by-step explanation:

The factory whistle blowed at 1:00 p.M, and it blows every 30 minutes, so it will blow again at 1:30 p.M.

The clock tower chimed at 1.00 p.M., and it chimes every 15 minutes, so it will chime again at 1:15 p.M, and after that, it will chime again at 1:30 p.M.

So, you will hear them both at the same time at 1:30 p.M.

We can also solve this problem using LCM:

the least commom multiple between 15 and 30 is 30, so we just need to sum 30 to the inicial time (1:00 p.M.), so the time they will "find each other" again is 1.30 p.M.

7 0
3 years ago
An amount of $350,000 is borrowed for a period of 30 years at an interest rate of 5.5%. The amortization schedule for this
Annette [7]
350,000 . 250,00 . 1,987.26
8 0
2 years ago
A rectangle has a height to width ratio of 3:4.5. Give two examples of dimensions for rectangles that could be scaled versions o
OlgaM077 [116]

We have been given that a rectangle has a height to width ratio of 3:4.5.

Let h be height and w be width of rectangle.

We can set our given information in an equation as:

\frac{h}{w} =\frac{3}{4.5}

h=\frac{3}{4.5} *w

Now we will substitute h=1 in this equation.

1=\frac{3}{4.5} *w

3w=4.5

w=\frac{4.5}{3} =1.5

We can see that width of rectangle is 1.5 times height of rectangle.

Our one set of dimensions of rectangle will be: height=1 and width=1.5.

We can get many set of dimensions for our rectangle by multiplying both height and width of rectangle by same number.

Multiplying by 5 we will get our dimensions as: height 5 and width 7.5.  

Therefore, (1 and 1.5) and (5 and 7.5) dimensions for rectangle will be scaled version of our rectangle.

6 0
3 years ago
Find g(2/3). Simplify your answer. Type an exact answer, using radicals as needed).
ki77a [65]
The solution is 2sqrt77/77.  You just fill in 2/3 for the x's. When you do that, you do that you get (2/3)/sqrt(9-[2/3]^2) which, simplified, is (2/3)/sqrt(9-[4/9]). Now use the common denominator under the radical of 9 to get (2/3)/sqrt([81-4]\9).  Simplifying even further gives you (2/3)/([sqrt(77)]/3). Now do that division by multiplying 2/3 by the reciprocal of ([sqrt(77)]/3) to get 2/sqrt77.  I rationalized the denominator to get that result up there.
5 0
3 years ago
A line has gradient 5.
MAVERICK [17]

Answer:

x = k - 3

Step-by-step explanation:

Given parameters:

  Gradient of the line = 5;

Coordinates; M(x, 8)

                       N(k, 23)

Solution:

If we use the expression for finding the slope of the line, we can solve this problem;

     Slope  = \frac{y_{2} - y_{1}  }{x_{2} - x_{1} }

    where

    x₁ = x    y₁ = 8

    x₂ = k    y₂ = 23

Input the parameters:

       5  = \frac{23 - 8}{k -x }

          15 = 5(k - x)

           3= k- x

           k - x = 3

 Express x in terms of k;

          -x = 3 - k

Multiply through by -1;

          x = -3 + k

          x = k - 3

7 0
3 years ago
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