Please help me with math

In the diagram, the areas of ΔADC and ΔDCB are in a ratio of 3 : 4. What are the coordinates of point C?

Kisachek [45]

(1/2(AC) * DC) / (1/2(BC) * DC) = 3/4
AC / BC = 3/4

The coordinate of C be (x, y), then
((4(1) + 3(8))/7, (4(-9) + 3(-2))/7) = ((4 + 24)/7, (-36 - 6)/7) = (28/7, -42/7) = (4, -6)

5 0

3 years ago

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The prices of consumer goods do not always exactly follow the CPI. The following chart shows several consumer items, along with

UNO [17]

Customer price index is the price index which measures the weight average of price of basket of customers goods or services. The reasonable estimate of the current customer price index is 195. The option B is the correct option.

Given information-

The data table for the given problem is attached below.

<h3>Customer price index</h3>

Customer price index is the price index which measures the weight average of price of basket of customers goods or services. It can be given as,

$CPI_t=\dfrac{C_t}{C_0} \times 100$

Here $C_t$ is the cost of market basket in current period and $C_0$ is the cost of market basket in the base period.

Cost of market basket in current period is.

$C_t=126.85+29.95+2.25+44.25\\C_t=203.3$

Cost of market basket in 1983 is,

$C_0=67.45+15.25+1.15+22.85\\C_0=106.7$

Put the value in the customer price index formula,

$CPI_t=\dfrac{203.3}{106.7} \times 100\\CPI_t=190.5$

Thus the value of current CPI is 190.5 which is near about the 195.

Hence the reasonable estimate of the current customer price index is 195. The option B is the correct option.

Learn more about the customer price index here;

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3 0

3 years ago

Write an expression that is equivalent to x+x+x+x+-20

Aleksandr [31]

Answer:

4x-20

Step-by-step explanation:

you put the x's together and since its negative,you can make it -20 instead of +-20

5 0

3 years ago

A study finds that out of every babies born in the world, have some kind of major birth defect. What is the simplest way to ass

9966 [12]

A study finds that out of every 400 babies born in the world, 28 have some kind of major birth defect. The simplest way to assign random numbers to conduct a simulation based on this statistic is to use 00-06 (7%) to indicate the babies with birth defects.

<h3>What is the rationale for the above?</h3>

Note that the total number of births is: 400

Total number of defective babies = 28

Hence, the fraction or ratio of this is:

28/400

= 7/100

= 7%.

This also means that 07-99 (93%) will represent the babies without birth defects.

Learn more about statistics:
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3 0

2 years ago

Universal Pet house sells vinyl doghouse and treated lumber doghouses. It takes the company 5 hours to build a vinyl doghouses a

LuckyWell [14K]

Answer:

The system of equations is :

Equation 1- $5x+2y=50$

Equation 2- $x+2y=30$

Number of vinyl doghouse = 5

Number of treated lumber doghouse =12.5

Step-by-step explanation:

Let x be the number of vinyl doghouses

y be the number of treated lumber doghouses

→If it takes the company 5 hours to build a vinyl doghouses and 2 hours to build a treated lumber doghouse. The company dedicates 50 hours every week towards assembling and painting doghouses.

Equation 1- $5x+2y=50$

→It takes an additional hour to paint each vinyl doghouse and an additional 2 hours to assemble each treated lumber doghouse. The company dedicates 30 hours every week towards assembling and paining dog houses.

Equation 2- $x+2y=30$

→When we solve these equation we get the number of vinyl doghouse and treated lumber doghouse.

Subtract equation 2 from equation 1

$5x+2y-x-2y=50-30$