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3 years ago

Write an equation and solve: Your math homework has 6 more than three

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

8 0

Answer: 33 math problems.

Step-by-step explanation:

Let x = Number of math problems

y= Number of history problems

According to the question , we have

$3y+6=x\ \ \ \ \ (i)\\\\ x+y=42\ \ \ \ (ii)$

We can rewrite (i) as $x-3y=6$ (iii)

Now, subtract (iii) from (ii), we get

$y-(-3y)=42-6\\\\\Rightarrow\ y+3y=36\\\\\Rightarrow\ 4y=36\\\\\Rightarrow\ y= \dfrac{36}{4}\\\\\Rightarrow\ y=9$

Put this in (i), we get

$x=3(9)+6 = 27+6=33$

Hence, you have to complete 33 math problems.

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Dilate line f by a scale factor of 2 with the center of dilation at the origin to create line f. Where are points A' and B' loca

V125BC [204]

Answer:

Option A

Step-by-step explanation:

We are given that

Scale factor=2

Center of dilation=(0,0)

Point A(0,2) and point B (2,0).

Slope of line f= $\frac{y_2-y_1}{x_2-x_1}$

Substitute the values

Slope of line f= $\frac{0-2}{2-0}=-1$

Distance between A and Origin (0,0) is given by

$OA=\sqrt{(0-0)^2+(0-2)^2}=2 units$

Using distance formula

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

OB= $\sqrt{(0-2)^2+(0-0)^2}=2 units$

Length of OA'=2OA=2(2)=4 units

Length of OB'=2(OB)=2(2)=4 units

x-intercept of line f' at x=4

y-intercept of line f' at y=4

Therefore, the points A' and B' are given by

(0,4) and (4,0)

Slope of line f'= $\frac{0-4}{4-0}=-1$

Slope of line f and f' are equal.Therefore, lines f and f' are parallel.

Option A is true.

4 0

4 years ago

1. Which of the following is not a linear equation in one variable?

Lorico [155]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

Which of the following is not a linear equation in one variable?

a) 33

b) 33(x+y)

c) 33x

d) 33y

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

Option <em><u>b) 33 (x + y)</u></em> is not a linear equation in 1 variable.
Here, we can see that there are 2 variables used ⇨ x & y. Hence, even though it's a linear equation, it's not in 1 variable.
All the other options are in 1 variable or don't have a variable at all.

5 0

3 years ago

Hey I need help on finding where this girl messed up and can you tell me where she did?

joja [24]

Step 4 because where did she get the 2 there was no two hope this helps hope i am brainliest

8 0

3 years ago

How do you write 23.5% as a decimal?

vesna_86 [32]

Answer:0.235

Step-by-step explanation:

Take the decimal point and move it to the left twice and you get your answer