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3 years ago

8

If you multiply a number by 3 and then add 40, the result is the same as if you add 17 to the number and then multiply by 2. Wha

t is the result if you subtract 9 from the number and then multiply by 4? .

1 answer:

Finger [1]3 years ago

6 0

Answer:

The number is -6

The second operation is -60

Step-by-step explanation:

Let the number be x.

Solving (a): The value of x

Operations 1:

Multiply by 3: 3x

Add 40: 3x + 40

Operations 2:

Add 17: x + 17

Multiply by 2: (x + 17) * 2

To find x, equate both operations.

$3x + 40 = (x + 17) *2$

$3x + 40 = 2x + 34$

Collect like terms

$3x - 2x = 34 - 40$

$x = -6$

Solving (b):

Operations:

Subtract 9: $x - 9$

Multiply by 4: $(x - 9) * 4$

This gives:

$(x - 9) * 4 = (-6 - 9) * 4$

$(x - 9) * 4 = -15 * 4$

$(x - 9) * 4 = -60$

You might be interested in

The radius of a circle is 20 cm. Find its area in terms of π π.

natulia [17]

Answer:

A = $400\pi cm^2$

Step-by-step explanation:

Area of a circle is:

A = πr²

We are given a radius of 20 cm.

A = πr²

A = π(20)²

A = π400

<em>A = 400πcm²</em>

Hope this helps.

4 0

3 years ago

A factory made 4250

vodomira [7]

Step-by-step explanation:

Total amount of cookies = 4250

butter cookies, b

Almond cookies, a

Chocolate cookies, c

It made 715 more butter cookies than

almond cookies

b = a + 715

It made 5 times as many chocolate cookies as almond

5a = c

Total amount of cookies

= a + b + c

= a + (a+715) + (5a)

= 7a + 715

7a + 715 = 4250

7a = 4250-715

a = 3535 / 7

a = 505

c = 5a

= 5 (505)

= 2525

The factory make 2525 chocolate cookies.

5 0

3 years ago

How many times greater is 10 cubic yards than 5 cubic yard? Complete the equation

monitta

Answer:

2 times

Step-by-step explanation:

10 / 5 = 2

or

5 x 2 = 10

so 10 is 2 times greater than 5

8 0

3 years ago

What is the sum or difference?

dlinn [17]

1. Ans: Option (B) $-6x^4$

Explanation:
Given: $2x^4 - 8x^4$
Take the common out:
=> $x^4(2 - 8)$

Hence: => $[tex]-6x^4$ [/tex] (Option B)

2. Ans: Option (D) $-3y^5$

Explanation:
Given: $6y^5 - 9y^5$
Take the common term(s) out:
=> $y^5(6-9)$

Hence: => $-3y^5$ (Option D)

3. Ans: Option (B) $9x^2 - 12x + 6$ <span> quadratic trinomial

Explanation:
</span>Given: $6 - 12x + 13x^2 - 4x^2$

The standard form of polynomial function must have the highest powered value at the start, then the second highest and so on.

=> $13x^2 - 4x^2 - 12x + 6$
=> $9x^2 - 12x + 6$ (Option B)

4. Ans: Option (C) $7.3x^2 + 0.8x + 1.3$

Explanation:
In order to find the total number of C<span>ommon and Endler's guppies, you need to add both Common and Endler's guppies' polynomials, as follows:

</span>Common guppies: $3.1x^2 +6.0x + 0.3$ <span>
Endler's guppies: </span> $4.2x^2 - 5.2x + 1.0$
(add both)
-----------------------------------------------------------------
Total number: $7.3x^2 +0.8x + 1.3$
-----------------------------------------------------------------
Hence the ans is Option(C) $7.3x^2 + 0.8x + 1.3$

5. Ans: Option (D) $2x^2(133 - 18 \pi )$

Explanation:
First let's find the total area of the yard:
Total Area of the Yard = 14x * 19x = $266x^2$

Now the area of the circular fountain:
Area of the Circular Fountain = $\pi r^2$
Since, r=6x
Therefore,
Area of the Circular Fountain = $\pi (6x)^2 = 36 \pi x^2$

Now the final Area of the yard would be:
Final area of the Yard = Total Area of the Yard - Area of the Circular Fountain
Final area of the Yard = $266x^2$ - $36 \pi x^2$
=> Final area of the Yard = $2x^2(133 - 18 \pi)$ (Option D)

6. Ans: Option (A) $56x^2$

Explanation:
First let's find the total area of the lot:
Total Area of the lot= 6x * 10x = $60x^2$

Now the area of the stadium:
Area of the stadium = 1x * 4x = $4x^2$

Now the final Area of the lot would be:
Final area of the lot= Total Area of the lot - Area of the stadium
Final area of the lot= $60x^2$ - $4x^2$
=> Final area of the lot = $56x^2$ (Option A)

-i

4 0

3 years ago

Read 2 more answers

An automotive manufacturer has developed a new type of tire that the research team believes to increase fuel efficiency. The man

Stolb23 [73]

Answer:

One tailed

To conclude if there is an increase in the mean gas mileage due to new type of tire.

Step-by-step explanation:

We are given the following in the question:

The manufacture wants to compare increase in the mean gas mileage.

Population mean = 32 miles per gallon

Thus, the manufacture could carry a hypothesis test to compare mean.

A one tailed test (z-test or t-test) based on the information can be used to compare the increase in mean.

Thus,

The automotive manufacturer should perform a one tailed hypothesis test to conclude if there is an increase in the mean gas mileage due to new type of tire.

6 0

4 years ago