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2 years ago

Simplify 3ab + 4ab + 5 12ab 7ab + 5 not possible

Mathematics

2 answers:

stich3 [128]2 years ago

6 0

Answer:

$7ab+5$

Step-by-step explanation:

We have been given an expression $3ab+4ab+5$ . We are asked to simplify the given expression.

To simplify our given expression, we will combine like terms. We can see that in our expression $3ab\text{ and }4ab$ are like terms.

$3ab+4ab+5$

$(3+4)ab+5$

$7ab+5$

Therefore, the simplified form of our given expression would be $7ab+5$ .

Tanya [424]2 years ago

3 0

7ab + 5 is going to be the answer because I solved it and that's the answer

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The composite figure shown has a surface area of 844 square centimeters.

kolezko [41]

Given the surface area of the composite figure, the height of the rectangular prism is approximately 8 centimeters.

<h3>What is the height of the rectangular prism?</h3>

First we calculate the surface area of the rectangular pyramid;

S.A = lw + (1/2)w√(4h²+l²) + (1/2)l√(4h²+w²)

Given that;

w = 10cm
l = 18cm
h = 12cm

S.A = lw + (1/2)w√(4h²+l²) + (1/2)l√(4h²+w²)

S.A = (18cm×10cm) + (1/2)10cm√(4(12cm)²+18cm²) + (1/2)18cm√(4(12cm)²+(10cm)²)

S.A = (180cm²) + 5cm√(576cm² + 324cm²) + 9cm√(576² + 100cm²)

S.A = (180cm²) + 5cm(30cm) + 9cm(26cm)

S.A = 180cm² + 150cm² + 234cm²

S.A = 564cm²

Now, surface Area of the rectangular prism will be;

= Area of composite figure - surface area of the rectangular pyramid

= 1844cm² - 564cm²

= 1280cm²

Now surface area of rectangular prism is expressed as;

SA = 2lw + 2lh + 2hw

w = 10cm
l = 18cm
h = x

SA=2lw + 2lh + 2hw

SA - 2lw = h( 2l + 2w)

h = (SA - 2lw) / ( 2l + 2w)

h = (1280cm² - ( 2×18cm×10cm)) / ( 2×18cm + 2×10cm)

h = (1280cm² - 360cm²) / ( 36cm + 20cm)

h = 1020cm² / 56cm

h = 8cm

Given the surface area of the composite figure, the height of the rectangular prism is approximately 8 centimeters.

Learn more about Prism and Pyramid here: brainly.com/question/9796090

#SPJ1

8 0

1 year ago

Simplify: -2/5 + 4/3

hoa [83]

Answer:

14/15

Step-by-step explanation:

1. Convert the fractions to have the same denominator

Remember that you can only add fractions with the same denominator

To find the common denominator, find the LCM of 5 and 3 which is 15.

-2/5 * 3/3 = -6/15 and 4/3 * 5/5 = 20/15

-6/15 + 20/15 = 14/15

hope this helps! <3

7 0

1 year ago

Read 2 more answers

Determine whether the triangles are similar. or not.

KatRina [158]

Answer:

B.Similar,sss

Step-by-step explanation:

Since no angles measures are provided in these triangles, we can determine if these triangles are similar by using the SSS Similarity Theorem. This requires that we determine if each pair of corresponding sides have an equal ratio.

8 0

2 years ago

4. See if you can find "like-terms" in the expression and

WITCHER [35]

Answer:

After finding like terms and solving, we get $\mathbf{3x^2+3x+16}$

Step-by-step explanation:

We need to find like terms and simplify the expression $4- 2x + x^2 + 5x + 12 + 2x^2$

Like terms: The terms who have same variable and exponent are called like terms.

So, Combining like terms and solving:

$4- 2x + x^2 + 5x + 12 + 2x^2\\=4+12-2x+5x+x^2+2x^2\\Now \ solving:\\=16+3x+3x^2\\Rearranging \ the \ terms:\\=3x^2+3x+16$

So, after finding like terms and solving, we get $\mathbf{3x^2+3x+16}$

<u><em>Note: In the question given we have - and + sign with the term 5x</em></u> i.e 4- 2x + x^2 -+ 5x + 12 + 2x^2

I have solved using +5x, but if the term is -5x then the solution will be:

$4- 2x + x^2 - 5x + 12 + 2x^2\\=4+12-2x-5x+x^2+2x^2\\Now \ solving:\\=16-7x+3x^2\\Rearranging \ the \ terms:\\=3x^2-7x+16$

So, the answer will be: $\mathbf{3x^2-7x+16}$

7 0

2 years ago

The Johnson family buys gasoline at three different gas stations during a car trip.

Salsk061 [2.6K]

Answer:

The unit rate for the first station is 2.1. The unit rate for the second station is 2.19. The unit rate for the last station is 2.07.

Step-by-step explanation:

25.20 divided by 12 is 2.1

19.71 divided by 9 is 2.19

33.12 divided by 16 is 2.07

6 0

2 years ago