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2 years ago

Calculate: 0.3 of 14

Mathematics

2 answers:

jasenka [17]2 years ago

8 0

100% --> 14

30% --> x

100x = 420

x= 420/100

x=4.2

Ber [7]2 years ago

7 0

Answer:

The answer is 4.2

Step-by-step explanation:

Always remember that when they use the word of, it means you have to multiply. So 14 times 0.3 is 4.2

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Solve the system of equations. 4y + 11x – 67 = 0 2y + 5x - 19 = 0 x= y=

katen-ka-za [31]

Answer:

x = 29, y = -63

Step-by-step explanation:

Solve the following system:

{4 y + 11 x - 67 = 0 | (equation 1)

{2 y + 5 x - 19 = 0 | (equation 2)

Express the system in standard form:

{11 x + 4 y = 67 | (equation 1)

v5 x + 2 y = 19 | (equation 2)

Subtract 5/11 × (equation 1) from equation 2:

{11 x + 4 y = 67 | (equation 1)

{0 x+(2 y)/11 = -126/11 | (equation 2)

Multiply equation 2 by 11/2:

{11 x + 4 y = 67 | (equation 1)

{0 x+y = -63 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{11 x+0 y = 319 | (equation 1)

{0 x+y = -63 | (equation 2)

Divide equation 1 by 11:

{x+0 y = 29 | (equation 1)

{0 x+y = -63 | (equation 2)

Collect results:

Answer: {x = 29, y = -63

3 0

2 years ago

Read 2 more answers

Find the surface area of the prism.

boyakko [2]

Answer:

156 [in²].

Step-by-step explanation:

1) total area consists of six parts (all the details are in the attachment):

A=2A₁+2A₂+A₃+A₄;

2) according to the formula above:

A=2*5*3+2*0.5*(6+12)*4+6*3+12*3=156 [in²].

6 0

2 years ago

Question 4 Use the figure below to find the value of x and y

Tpy6a [65]

Answer:

$x=4, y=8$

Step-by-step explanation:

step 1

Find the value of y

we know that

In the right triangle of the figure

$cos(30\°)=\frac{4\sqrt{3}}{y}$

Remember that

$cos(30\°)=\frac{\sqrt{3}}{2}$

$\frac{\sqrt{3}}{2}=\frac{4\sqrt{3}}{y}$

Simplify

$y=8\ units$

step 2

Find the value of x

In the right triangle of the figure

$sin(30\°)=\frac{x}{8}$

Remember that

$sin(30\°)=\frac{1}{2}$

$\frac{1}{2}=\frac{x}{8}$

$x=4\ units$

4 0

3 years ago

Which polynomial is prime? Ox+3x²-x²-3 Ox4-3x²-x² + 3 O 3x²+x-6x-2 O 3x²+x-6x + 3

GarryVolchara [31]

Answer:

The polynomial 3x² + x - 6x + 3 is a prime polynomial

How to determine the prime polynomial?

For a polynomial to be prime, it means that the polynomial cannot be divided into factors

From the list of options, the polynomial (D) is prime, and the proof is as follows:

We have:

3x² + x - 6x + 3

From the graph of the polynomial (see attachment), we can see that the function does not cross the x-axis.

Hence, the polynomial 3x² + x - 6x + 3 is a prime polynomial