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bearhunter [10]
3 years ago
11

If 3 is added to a number and multiplied the result by 5 gives 55 what is the number​

Mathematics
1 answer:
MakcuM [25]3 years ago
6 0

Answer:24

Step-by-step explanation:Let the number we seek be X.

We are Given:

1). (5X+3 ) x (2) = 30

Expand and Rearrange.

(10X +6 ) = 30.

10X = 24.

2). X equals 2.4 . This is the answer for the number we seek.

Always check the answer.

This is Good Working Practice ALWAYS.

For Exams or similar remember:

Presentation (Neat & Tidy), Method & Layout (Show you understand), Accuracy.

All these count in most exams.

The first two points help greatly if your Answer is in error, but your METHOD Is CLEAR & CORECT.

Similarly, if the Check is wrong, mention this, but also, if the case, mention e.g. time ran out .. You may be credited as AWARE if your presentation and Method show you understood what to do and why.

CHECK: Substitute the answer for X into the original equation 1).

Equn. 1). (5X +3)*2 = 30.

Put in the value for X. Expand & Re-arrange.

(( 5 ).( 2.4 ) + ( 3 ).( 2 ) = 30.

( 12 + 6 ) = 30.

24 = 24. Checked & Agreed.

That’s about it.

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What is the slope of a line that is perpendicular to the line represented by the equation 2x−5=−y?
Liula [17]

Answer:

\frac{1}{2}

Step-by-step explanation:

First, you need to get the equation into y = mx + b form, like this:

Add y to both sides to get y + 2x − 5= 0

Then subtract 2x to get y - 5 = -2x

Add 5 to get y = -2x + 5

Now we know the slope is -2, or -2/1.

A line that is perpendicular to it has a slope that is the first line's slope's opposite reciprocal. This means flip the fraction upside down and change the sign, which gives you positive 1/2.

3 0
3 years ago
What would be added to the price of a $22,500 car if the DMV fees for title and license were 1.5%?
Yuri [45]

Answer:

B. $337.50

Step-by-step explanation:

1.5% of $22,500 is 337.5

3 0
3 years ago
Which is true about the solution to the system of inequalities shown? y > 3x + 1 y < 3x – 3 On a coordinate plane, 2 solid
Novay_Z [31]

The true option about the solution to the system of inequalities shown is  B. The second line has a positive slope and goes through (0, negative 3) and (1, 0).

<h3>How to explain the inequality?</h3>

Plot these ordered pairs on a coordinate plane and connect them by straight lines.

The sign of both inequalities is "<"which means both lines are dotted and everything below the lines is shaded.

From the below graph it is clear that all values are satisfied.

Learn more about inequality on:

brainly.com/question/24372553

#SPJ1

5 0
2 years ago
Find the projection of the vector A = î - 2ġ + k on the vector B = 4 i - 4ſ + 7k. 15. Given the vectors A = 2 i +3 ſ +6k and B =
Gwar [14]

Answer:

Part 1)

Projection of vector A on vector B equals 19 units

Part 2)

Projection of vector B' on vector A' equals 35 units

Step-by-step explanation:

For 2 vectors A and B the projection of A on B is given by the vector dot product of vector A and B

Given

\overrightarrow{v_{a}}=\widehat{i}-2\widehat{j}+\widehat{k}

Similarly vector B is written as

\overrightarrow{v_{b}}=4\widehat{i}-4\widehat{j}+7\widehat{k}

Thus the vector dot product of the 2 vectors is obtained as

\overrightarrow{v_{a}}\cdot \overrightarrow{v_{b}}=(\widehat{i}-2\widehat{j}+\widehat{k})\cdot (4\widehat{i}-4\widehat{j}+7\widehat{k})\\\\\overrightarrow{v_{a}}\cdot \overrightarrow{v_{b}}=1\cdot 4+2\cdot 4+1\cdot 7=19

Part 2)

Given vector A' as

\overrightarrow{v_{a'}}=2\widehat{i}+3\widehat{j}+6\widehat{k}

Similarly vector B' is written as

\overrightarrow{v_{b'}}=\widehat{i}+5\widehat{j}+3\widehat{k}

Thus the vector dot product of the 2 vectors is obtained as

\overrightarrow{v_{b'}}\cdot \overrightarrow{v_{a'}}=(\widehat{i}+5\widehat{j}+3\widehat{k})\cdot (2\widehat{i}+3\widehat{j}+6\widehat{k})\\\\\overrightarrow{v_{a'}}\cdot \overrightarrow{v_{b'}}=1\cdot 2+5\cdot 3+3\cdot 6=35

7 0
4 years ago
Rick and myra collects stamps. Rick has 150 fewer stamps than Myra. Together they have collected 500 stamps. How much stamps doe
Aleks04 [339]
If Myra has m stamps, then Rick has m-150.

Together, they have 500.

Therefore, m+m-150=500
2m-150=500
2m=650
m=325.

Therefore, Myra has 325 stamps, and Rick has 175 (325-150).

Hope this helps you:)
5 0
4 years ago
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