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lakkis [162]
2 years ago
11

Five times the sum of a number and 3 is the same as 3 multiplied by 1 less than twice the number

Mathematics
1 answer:
olga nikolaevna [1]2 years ago
7 0
5(3+n)=3(2n-1)
15+5n=6n-3
18=n
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Which expression is equivalent to Negative 28 x y 35 y? 7 y (Negative 4 x y 5 y) 7 x (negative 4 x 5 y) 7 x (negative 4 y 5 y) 7
GREYUIT [131]

You can use the distributive property of multiplication over addition to find the equivalent expression to the given expression.

The expression which is equivalent to the given expression is given by

Option D: 7y(-4x + 5)

<h3>What are equivalent expressions?</h3>

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

a(b + c) = a \times b + a \times c

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

<h3>Using the above property and the fact that 28 and 35 are multiples of 7 to get the equivalent expression</h3>

The given expression is -28xy + 35y

Since 28 = 7 times 4 and 35 = 7 times 5

Thus,

-28xy + 35y = -7 \times 4 \times x \times y + 7 \times 5 \times y = 7y(-4x + 5)

Thus,

The expression which is equivalent to the given expression is given by

Option D: 7y(-4x + 5)

Learn more about equivalent expressions here:
brainly.com/question/10628562

3 0
2 years ago
Determine all intervals on which f(x) &gt; 0.
8_murik_8 [283]

Answer: [-7, -4]u[0, 3]

4 0
2 years ago
Is the following shape a rectangle? how do you know?
Usimov [2.4K]
Slope of AB =  1/3 and slope of  BC = -3    so these 2 lines are perpendicular
The same is true for all the other adjjacent pairs of lines.
Oppoitse lines are also paralllel (  slope of AB = 1/3 and slope of  DC = 1/3)  and other pair are both of slope -3.

So Its C
8 0
2 years ago
The number of miles Ford trucks can go on one tank of gas is normally distributed with a mean of 350 miles and a standard deviat
kati45 [8]

Answer:

The probability that a randomly chosen Ford truck runs out of gas before it has gone 325 miles is 0.0062.

Step-by-step explanation:

Let <em>X</em> = the number of miles Ford trucks can go on one tank of gas.

The random variable <em>X</em> is normally distributed with mean, <em>μ</em> = 350 miles and standard deviation, <em>σ</em> = 10 miles.

If the Ford truck runs out of gas before it has gone 325 miles it implies that the truck has traveled less than 325 miles.

Compute the value of P (X < 325) as follows:

P(X

Thus, the probability that a randomly chosen Ford truck runs out of gas before it has gone 325 miles is 0.0062.

7 0
3 years ago
On Monday 430 students went on a trip to the zoo all 9 buses were filled and seven students had to travel in cars how many stude
tankabanditka [31]

Answer: 47 students

Step-by-step explanation:

430 students went on a trip with the majority of them going on buses.

7 students however, had to use cars.

The number of students who used buses are:

= 430 - 7

= 423 students

The number of students in each bus is:

= No. of students taking buses / no. of buses

= 423 / 9 buses

= 47 students

7 0
2 years ago
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