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viktelen [127]
3 years ago
7

Give the sum in simplest form: a/c + b/c = _____

Mathematics
1 answer:
djverab [1.8K]3 years ago
6 0

Answer:

(a+b)/c

Step-by-step explanation:

a/c+b/c

since they have the same denominator you can add the numerator together

(a+b)/c

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Use the given cost table for the same product from two different companies to create a linear system.
viktelen [127]

40 garments need to be dry cleaned for the two companies to have the same cost.

<h3>Linear equation</h3>

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let f(x) represent the cost for dry cleaning at Company 1. Hence using the points:

  • (5, 115.25) and (15, 155.75)

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\&#10; \\&#10;y-115.25=\frac{155.75-115.25}{15-5}(x-5)\\&#10; \\&#10;y=4.05x+95

Let g(x) represent the cost for dry cleaning at Company 2. Hence using the points:

  • (5, 45.25) and (15, 105.75)

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\&#10; \\&#10;y-45.25=\frac{105.75-45.25}{15-5}(x-5)\\&#10; \\&#10;y=6.05x+15

For the cost to be the same:

4.05x + 95= 6.05x + 15

x = 40

40 garments need to be dry cleaned for the two companies to have the same cost.

Find out more on Linear equation at: brainly.com/question/14323743

7 0
2 years ago
For the upcoming holiday season, Dorothy wants to mold 20 bars of chocolate into tiny pyramids. Each bar of chocolate contains 6
adelina 88 [10]
20 x 6 = 120 in³ ( chocolate )
V ( pyramid ) = 1/3 B h = 1/3 · 1 · 2 = 2/3 in³
120  : 2/3 = 120 · 3/2 = 180
Answer: The largest number of pyramids she can make is B ) 180
7 0
4 years ago
Read 2 more answers
Write ninety-one and ninety-one hundred thousandths as a decimal number.
Scilla [17]
91.000 091.




..........................
8 0
4 years ago
Solve the congruence 169x 25 (mod 330)
DIA [1.3K]

First solve the congruence 13y\equiv1\pmod{330}. Euclid's algorithm shows

330 = 25 * 13 + 5

13 = 2 * 5 + 3

5 = 1 * 3 + 2

3 = 1 * 2 + 1

=> 1 = 127 * 13 - 5 * 330

=> 127 * 13 = 1 mod 330

so that y=127 is the inverse of 13 modulo 330. Then in the original congruence, multiplying both sides by 127 twice gives

127^2\cdot13^2x\equiv127^2\cdot5^2\pmod{330}\implies x\equiv127^2\cdot5^2\equiv403,225\equiv295\pmod{330}

Then any integer of the form x=295+330n is a solution to the congruence, where n is any integer.

3 0
4 years ago
Can someone help I am struggling with the question on the photo?
AleksandrR [38]

Answer:

in the last one 3+4+4×15=67

in the first if we see there are three shapes if we divide 45/3 so the value of each shape is 15

in the second there are two bananas and one shape as we know the value of shape so 23-15=8 as there are two bananas so the value of each banana is 4

in the third there are two clocks and one banana as we know the value of banana so 10-4=6 as there are two clocks so the value of each clock is 3

from above

shape=15 banana=4 and clock =3 pitting in the equation gives us the value of 67

Step-by-step explanation:

i hope this will help you :)

7 0
3 years ago
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