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3 years ago

I need help plzzzzzz

Mathematics

1 answer:

bonufazy [111]3 years ago

3 0

They gave you (blue) find the measurement of (yellow) since (blue)+(yellow) make up a line they =180
105+(yellow)=180
-105 both sides
yellow= 75

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The combined age of three relatives is 120 years. James is three times the age of Dan, and Paul is two time the sum of the ages

BaLLatris [955]

Answer:

Step-by-step explanation:

Let x represent Dan's age

3x be James'age

Paul 2(3x+x)=6x+2x

Suming all ages

x+3x+6x+2x=120

Solving for x

12x=120

x=10 (Dan's age)

3×=30 (James'age)

6×+2×=80(Paul's age)

8 0

3 years ago

39 is what percent of 96

ra1l [238]

Answer:

40.625%

Step-by-step explanation:

This is a very simple question.

We have to understand converting word equations to algebraic ones.

"is" means "="

"of" means "*"

So, we can write:

39 = what percent * 96

Now, we let "what percent" be "p" and solve the equation for p:

39 = P * 96

So,

$39 = P * 96\\39=96P\\P=\frac{39}{96}\\P=0.40625$

Converting this decimal to percentage means multiplying by 100, so we have:

0.40625 * 100

= 40.625%

7 0

3 years ago

Which statement is true about figures ABCD and A′B′C′D′? (1 point)

sladkih [1.3K]

Answer:

Step-by-step explanation:

A'B'C'D' is obtained by rotating ABCD 180° counterclockwise about the origin and then reflecting it across the x-axis.

A(2, -2) is mapped to A'(-2, -2)

B(1, -4) is mapped to B'(-1, -4)

C(0, -2) is mapped to C'(0, -2)

D(1, -1) is mapped to D'(-1, -1)

If we rotate counterclockwise 180°, every point (x, y) is mapped to (-x, -y):

A(2, -2) gets mapped to (-2, 2)

B(1, -4) gets mapped to (-1, 4)

C(0, -2) gets mapped to (0, 2)

D(1, -1) gets mapped to (-1, 1)

Reflecting these images across the x-axis will then map (x, y) to (x, -y):

(-2, 2) gets mapped to (-2, -2)

(-1, 4) gets mapped to (-1, -4)

(0, 2) gets mapped to (0, -2)

(-1, 1) gets mapped to (-1, -1)

These new coordinates are the same as A'B'C'D'.

3 0

2 years ago

A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx

tester [92]

Answer:

b=-18

Step-by-step explanation:

If a line that passes through the point $P(x_o,y_o)$ and it has slope $m$ , the equation of the line is:

$y-y_o=m(x-x_o)~=>y=mx+y_o-mx_o~=>b=y_o-mx_o\\\\b=-6-4(3)=-18$

4 0

2 years ago

Sixty percent (60%) of those who attended the soccer game were parents. There were 120 people who

IrinaVladis [17]

Answer:

Step-by-step explanation:

<u>Given:</u>

There were 120 people in total.

60% were parents.

Number of parents attended.

Solution:

1. 60% of 120

It can also be written as:

$\frac{60}{100}\times \frac{120}{1}$

Simplify

Cancel zeros

$\frac{60}{100}\\\\=\frac{6}{10}$

Divide by common factor (2)

$\frac{6\div2}{10\div2}=\frac{3}{5}$

2. $\bold{\frac{3}{5}\times \frac{120}{1}}$

Multiply

$\frac{3\times120}{5\times1} = \frac{360}{5}$

Divide

$\frac{360}{5}= 360\div5=72$

Therefore, 72 parents attended the game.

4 0

2 years ago