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Setler [38]
2 years ago
8

If 3t-7=5t, then 6t#

Mathematics
1 answer:
Inessa05 [86]2 years ago
3 0
Here, 3t - 7 = 5t
5t - 3t = -7
2t = -7
t = -7/2

Then, 6t = 6(-7/2) = 3(-7) = -21

In short, Your Answer would be -21

Hope this helps!
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How to decompose a rectangle into two or three smaller rectangles to demonstrate the distributive property?
koban [17]

Answer:

See explanation

Step-by-step explanation:

The distibutive property states that for all real numbers a, b and c

(a+b)c=ac+bc

Draw a rectangle with length of (a+b) units and width of c units. The area of this rectangle is

(a+b)c\ un^2.

Divide this rectangle into two rectangles: first rectangle with the length of a units and the width of c units and the second rectangle with the length of b units and the width of c units. The area of these rectangles are

a\cdot c\ \text{and}\ b\cdot c

These two rectangles together form initial rectangle, so the sum of the area of two smaller rectangles is the area of the bigger rectangle.

5 0
2 years ago
7 times as much as the sum of 1/3 and 4/5
Vlada [557]
7( \frac{1}{3} +  \frac{4}{5} )

=7( \frac{1(5)}{3(5)} +  \frac{4(3)}{5(3)} )

=7( \frac{5}{15} +  \frac{12}{15} )

=7( \frac{17}{15})

=\frac{7}{1} ( \frac{17}{15})

=\frac{119}{15}

= 7\frac{14}{15} ≈ 7.93
4 0
2 years ago
Read 2 more answers
Mia opens a coffee shop in the first week of January. The function W(x) = 0.002x3 - 0.01x2 models the total number of customers
Len [333]
We need to know the function that models the difference in the number of customers visiting the two stores.
 We know the function that models the number of customers in the cafeteria
 W (x) = 0.002x3 - 0.01x2
 We also know the function that models the number of customers who visit the ice cream parlor 
 R (x) = x2 - 4x + 13
 Therefore the difference, D (x), in the number of customers visiting the two stores is:
 D (x) = W (x) - R (x)
 D (x) = 0.002x ^ 3 - 0.01x ^ 2 - (x ^ 2 -4x +13)
 D (x) = 0.002x ^ 3 - 0.01x ^ 2 - x ^ 2 + 4x -13

D (x) = 0.002x ^ 3 - 1.01x ^ 2 + 4x -13
<span> The answer is the third option</span>

8 0
2 years ago
Read 2 more answers
In the Venn diagram, the blue circle represents when p is true, and the orange represents when q is true. A conjunction is true
Radda [10]

Answer:

A conjunction is true in region  

✔ B  <--- Answer

A disjunction is true in region(s)  

✔ A, B, and C  <--- Answer

A disjunction is false in region(s)  

✔ D  <--- Answer

Step-by-step explanation:

I took the assaignment aswell

3 0
2 years ago
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Show that the three points whose position vectors are 7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k form an isosceles right
Novay_Z [31]

Answer:

AB = √18 , BC=√18 and CA =4

AB²+BC²  = CA² and AB=BC

ΔABC isosceles right  angled triangle.

Step-by-step explanation:

Given vectors are  7j+ 10k,-i + 6j+6k and - 4i + +9j + 6k

A( 0,7,10), B( -1,6,6) C(-4,9,6)

AB⁻ = OB-OA = -I+6j+6k-(7j+10k) = -I-j-4k

AB = \sqrt{1+1+16} = \sqrt{18}

BC = OC-OB = -4i+9j+6k-(-I+6j+6k) = -3i+3j

BC=\sqrt{9+9} =\sqrt{18}

CA = OA-OC = 7j+10k - (- 4i + +9j + 6k ) = 4i-2j+4k

CA = \sqrt{16+4+16} =\sqrt{36} =4

Since AB²+BC²  = CA²

And AB=BC

Therefore it follows that ΔABC is a right angled isosceles triangle



3 0
2 years ago
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