All categories

3 years ago

Talbot Family has a monthly income of $3,200. They spend $800 on rent what percentage of the Talbot family is spent of rent?

Mathematics

1 answer:

guapka [62]3 years ago

6 0

Answer:

800/3200= .25 or 25%

you must divide the rent by the monthly income.

You might be interested in

Savannah is planning to buy enough raffle

Alborosie

Answer:

20 tickets

Step-by-step explanation:

tickets/total tickets * 100% = 10% chance to win the raffle

x/200*100=10

solve for x

x/200 = 10/100

x = 200(0.1)

x = 20

6 0

3 years ago

Only questions 10-12!! Help please!!

butalik [34]

Answer:

Step-by-step explanation:

10) The opposite sides of a parallelogram are equal. It means that

a + 15 = 3a + 11

3a - a = 15 - 11

2a = 4

a = 4/2 = 2

Also,

3b + 5 = b + 11

3b - b = 11 - 5

2b = 4

b = 4/2 = 2

11) The opposite angles of a parallelogram are congruent and the adjacent angles are supplementary. This means that

2x + 11 + x - 5 = 180

3x + 6 = 180

3x = 180 - 6 = 174

x = 174/3 = 58

Therefore,

2x + 11 = 2×58 + 11 = 127 degrees

The opposite angles of a parallelogram are congruent, therefore,

2y = 127

y = 127/2 = 63.5

12) The diagonals of a parallelogram bisect each other. This means that each diagonal is divided equally at the midpoint. Therefore

3y - 5 = y + 5

3y - y = 5 + 5

2y = 10

y = 10/2 = 5

Also,

z + 9 = 2z + 7

2z - z = 9 - 7

z = 2

3 0

3 years ago

Pls help me with this problem!!!!

kolbaska11 [484]

Answer: 55°

Step-by-step explanation:

∠YAZ + ∠YAX = 180° because they are linear pairs

∠YAZ + ∠YAX = 180°

∠YAZ + 125 = 180

Subtract both sides by 125

∠YAZ = 55°

Hope that helped!

8 0

3 years ago

A circle has the equation 2x²+12x+2y²−16y−150=0.

KonstantinChe [14]

Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.

Step-by-step explanation:

The equation of a circle in the center-radius form is:

$(x-h)^{2} +(y-k)^{2}=r^{2}$ (1)

Where $(h,k)$ are the coordinates of the center and $r$ is the radius.

Now, we are given the equation of this circle as follows:

$2x^{2}+12x+2y^{2}-16y-150=0$ (2)

And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:

$2(x^{2}+6x+y^{2}-8y-75)=0$ (3)

Rearranging the equation:

$x^{2}+6x+y^{2}-8y=75$ (4)

$(x^{2}+6x)+(y^{2}-8y)=75$ (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of $(a\pm b)^{2}=a^{2}\pm+2ab+b^{2}$ :

For the first parenthesis:

$x^{2}+6x+b^{2}$

We can rewrite this as:

$x^{2}+2(3)x+b^{2}$

Hence in this case $b=3$ and $b^{2}=9$ :

$x^{2}+2(3)x+3^{2}=x^{2}+6x+9=(x+3)^{2}$

For the second parenthesis:

$y^{2}-8y+b^{2}$

We can rewrite this as:

$y^{2}-2(4)y+b^{2}$

Hence in this case $b=-3$ and $b^{2}=9$ :

$y^{2}-2(4)y+4^{2}=y^{2}-8y+16=(y-4)^{2}$

Then, equation (5) is rewritten as follows:

$(x^{2}+6x+9)+(y^{2}-8y+16)=75+9+16$ (6)

Note we are adding 9 and 16 in both sides of the equation in order to keep the equality.

Rearranging:

$(x-3)^{2}+(y-4)^{2}=100$ (7)

At this point we have the circle equation in the center radius form $(x-h)^{2} +(y-k)^{2}=r^{2}$

Hence:

$h=-3$

$k=4$

$r=\sqrt{100}=10$

8 0

3 years ago

Write each fraction as a percent 1) 77/100 2) 3/10 3) 27/50

ValentinkaMS [17]

Think of this, 77/100 is 0.77. 0.77 is 77%.
Just use this for the rest of the questions.

4 0

3 years ago

Read 2 more answers