GIVEN: ㅣ|| m,j ㅗ k, m angle <br> 1 = 42°

Chapman’s brickyard sells bricks and blocks. A brick costs $0.38 and a block costs $1.56. The brickyard filled a $24.80 order, w

Lisa [10]

Answer:

number of bricks = 16 and number of blocks = 12

Step-by-step explanation:

From given information it seems , we need to determine number of bricks and number of blocks.

lets assume number of bricks = x

and number of blocks = y

since total items in brickyard is 28

⇒ number of bricks + number of blocks = 28

⇒ x + y = 28 ----------------------- equation 1

Given that cost of 1 brick = $0.38 and cost of 1 block =$1.56

so cost of x bricks = cost of 1 brick × x = 0.38x

And cost of y blocks = cost of 1 block × y = 1.56y

total cost of 28 items order = $24.80

total cost of 28 items = cost of x bricks + cost of y blocks

⇒0.38x + 1.56y = 24.80 ----------------equation 2

Now we are having following two equations

x + y = 28 ----------------------- equation 1

0.38x + 1.56y = 24.80 ----------------equation 2

from equation 1 we get x = 28 - y , substituting this value of x in equation 2 we get

0.38(28 - y) + 1.56y = 24.80

⇒10.64-0.38y+1.56y= 24.80

⇒1.18y = 24.80 - 10.64

⇒y = 14.16÷1.18 = 12

substituting value of y in equation 1 we get

x + 12 = 28

⇒x = 16

hence number of bricks = x = 16 and number of blocks = y = 12

4 0

3 years ago

A person must score in the upper 8% of the population on an IQ test to qualify for membership in MENSA, the international high-I

Cloud [144]

Answer:

A person must get an IQ score of at least 138.885 to qualify.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 115, \sigma = 17$

(a). [7pts] What IQ score must a person get to qualify

Top 8%, so at least the 100-8 = 92th percentile.

Scores of X and higher, in which X is found when Z has a pvalue of 0.92. So X when Z = 1.405.

$Z = \frac{X - \mu}{\sigma}$

$1.405 = \frac{X - 115}{17}$

$X - 115 = 17*1.405$

$X = 138.885$

A person must get an IQ score of at least 138.885 to qualify.

5 0

3 years ago

Read 2 more answers

What is 451 rounded to the nearest hundred?

USPshnik [31]

Answer:

500

Step-by-step explanation:

If the tens digit is 50 or above then you round up to the next hundred but if it is 49 or below you round down to the nearest hundred

3 0

2 years ago

Read 2 more answers

Consider the function represented by 9x+3y= 12 with x as the independent variable. How can this function be written using

Ivenika [448]

Answer:

f(x)=-3x+4

(can't see some of your choices)

Step-by-step explanation:

We want x to be independent means we want to write it so when we plug in numbers we can just choose what we want to plug in for x but y's value will depend on our choosing of x.

So we need to solve for y.

9x+3y=12

Subtract 9x on both sides

3y=-9x+12

Divide both sides by 3:

y=-3x+4

Replace y with f(x).

f(x)=-3x+4

6 0

2 years ago

45 is 35% of what number?

kykrilka [37]

Answer:

100 is the answer

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

GIVEN: ㅣ|| m,j ㅗ k, m angle 1 = 42°