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3 years ago

7

The width of a rectangle measures (2.9s+3.8t) centimeters, and its length measures (6.4s−9.5t) centimeters. Which expression rep

resents the perimeter, in centimeters, of the rectangle? 9.3s-5.7, 18.6s-11.4, 3.8+18.6s-19t, 18.6s-11.4t

2 answers:

blsea [12.9K]3 years ago

6 0

Answer:

b

Step-by-step explanation:

lilavasa [31]3 years ago

6 0

Awnser is

b
lol ooop

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In 1990, the cost of tuition at a large Midwestern university was $99 per credit hour. In 2003, tuition had risen to $268 per cr

vodka [1.7K]

Answer:

63%

Step-by-step explanation:

<em>From the question, we aim to find the percent increase in the tuition</em>

Given data

initial cost= $99 per credit hour

Final cost= $268 per credit hour

% increase= (Final - initial )/initial *100

substitute

% increase= (268- 99 )/268 *100

% increase= 169 /268 *100

% increase= 0.630*100

% increase= 63%

Hence the increase in the tuition from 1990 to 2003 is 63%

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3 years ago

Which expressions are polynomials?

igor_vitrenko [27]

Option A: z + 1

Option B: 6 + w

Option D: $2 x^{4}-y$

Solution:

Let us first define the polynomial.

A polynomial can have constants, variables, exponents and fractional coefficients.

A polynomial cannot have negative exponents, fractional exponents and never divided by a variable.

<u>To find which expressions are polynomial:</u>

Option A: z + 1

By the definition, z + 1 is a polynomial.

It is polynomial.

Option B: 6 + w

By the definition, 6 + w is a polynomial.

It is polynomial.

Option C: $y^{2}-\sqrt[3]{y}+4$

$y^{2}-\sqrt[3]{y}+4=y^{2}-{y}^{1/3}+4$

Here, y have fractional exponent.

So, it is not a polynomial.

Option D: $2 x^{4}-y$

By the definition, $2 x^{4}-y$ is a polynomial.

It is polynomial.

Hence z + 1, 6 +w and $2 x^{4}-y$ are polynomials.

6 0

4 years ago

What is 3x+4= -15? How would you get a negative number?

bulgar [2K]

Answer:

$x=-\frac{19}{3}$

Step-by-step explanation:

$3x+4=-15$

$3x+4-4=-15-4$

$3x=-19$

$\frac{3x}{3}=\frac{-19}{3}$

$x=-\frac{19}{3}$

5 0

4 years ago

determine whether the triangles are similar if so what is the similarity statement and the postulate or theorem used.

zmey [24]

The triangles are similar because of the SAS postulate. The sides are proportional and angle T is equal in both.

6 0

4 years ago

Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for e

bekas [8.4K]

Answer:

The water she need is $7\frac{7}{8} \ cups.$ and strawberry syrup $11\frac{13}{16}\ cups$ .

Step-by-step explanation:

Given:

Dina wants to make 15 3/4 cups of strawberry drink by mixing water and strawberry syrup with a ratio of 2 1/4 cup of water for every 3/4 cup of syrup.

Now, to find the quantity of water and syrup she need to use.

As given in question ratio so:

Strawberry syrup = 2 1/4 = 9/4.

Water = 3/4.

Total cups of strawberry drink = 15 3/4 = 63/4.

Let the strawberry syrup be $\frac{9}{4} x$ .

And let the water be $\frac{3}{4} x$ .

According to question:

$\frac{9x}{4} + \frac{3x}{4}=\frac{63}{4}$ .

<em>On adding the fractions:</em>

⇒ $\frac{9x+3x}{4} =\frac{63}{4}$

⇒ $\frac{12x}{4} =\frac{63}{4}$

<em>Multiplying both sides by 4 we get:</em>

⇒ $12x=63$

<em>Dividing both sides by 12 we get:</em>

⇒ $x=\frac{63}{12}$

<em>Dividing numerator and denominator by 3 on R.H.S we get:</em>

⇒ $x=\frac{21}{4}$

Now, putting the value of $x$ on ratios:

Strawberry syrup = $\frac{9}{4}\times x=\frac{9}{4}\times\frac{21}{4}$

= $\frac{189}{16}$

= $11\frac{13}{16}\ cups$

Water = $\frac{3}{4}\times x =\frac{3}{4} \times\frac{21}{4}$

= $\frac{63}{8}$

= $7\frac{7}{8} \ cups.$

Therefore, the water she need is $7\frac{7}{8} \ cups.$ and strawberry syrup $11\frac{13}{16}\ cups$ .

4 0

3 years ago