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3 years ago

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At a garage sale, the most expensive item was marked $24.00 more than the cheapest item. The sum of the two items was $27.50. Fi

nd the cost of the least expensive item.

1 answer:

Andrews [41]3 years ago

8 0

Answer:

$3.50

Step-by-step explanation:

27,50-24.00=3.50

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Help me please solve the circled question show your work

Rasek [7]

<u>Part 1)</u> Use the fact that there are 12 inches in a foot

a) How many inches tall is a 7 foot basketball player?

we know that

1 foot=12 inches

so by proportion

$\frac{12}{1} \frac{inches}{foot} =\frac{x}{7} \frac{inches}{feet} \\ \\x=12*7\\ \\x=84\ inches$

therefore

<u>the answer Part 1a) is</u>

$84\ inches$

Part b) If a yard is a 3 feet long, how many inches are in a yard?

we know that

1 yard=3 feet

1 foot=12 inches

so

Convert 3 feet to inches

by proportion

$\frac{12}{1} \frac{inches}{foot} =\frac{x}{3} \frac{inches}{feet} \\ \\x=12*3\\ \\x=36\ inches$

therefore

<u>the answer Part 1b) is</u>

$36\ inches$

<u>Part 2) </u>At the farmer's market two pounds of peaches cost $4.20 How much will five pounds cost?

by proportion

$\frac{4.20}{2} \frac{\$}{pounds} =\frac{x}{5} \frac{\$}{pounds} \\ \\2*x=4.2*5\\ \\x=4.2*5/2=\$10.5$

therefore

<u>the answer Part 2) is</u>

$\$10.5$

<u>Part 3) </u>Janice mother gave her a ten dollars bill to buy five pounds each of bananas and apples at the grocery store. When she got there she found that bananas were 80 c per pound and apples were $1.40 per pound.

Did Janice's mother give her enough money? If so, should she receive any change? If not, how much more money does she need?

we know that

<u>Find the cost of the bananas</u>

$5\ pounds*0.80\frac{\$}{pounds}=\$4$

<u>Find the cost of the apples</u>

$5\ pounds*1.40\frac{\$}{pounds}=\$7$

Sum the cost of the bananas and the cost of the apples

$\$4+\$7=\$11$

$\$11 > \$10$ ------> Janice's mother didn't give her enough money

She needs more money

She needs-------> $\$11-\$10=\$1$

therefore

<u>the answer part 3) is</u>

She needs $\$1$ more

3 0

3 years ago

I need help or I will faill this

kari74 [83]

Answer:

-4x2 + 3x - 225

———————————————

3

Step-by-step explanation:

Step 1 :

4

Simplify —

3

Equation at the end of step 1 :

4

(x - (— • x2)) - 75

3

Step 2 :

Equation at the end of step 2 :

4x2

(x - ———) - 75

3

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a fraction from a whole

Rewrite the whole as a fraction using 3 as the denominator :

x x • 3

x = — = —————

1 3

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • 3 - (4x2) 3x - 4x2

————————————— = ————————

3 3

Equation at the end of step 3 :

(3x - 4x2)

—————————— - 75

3

Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

75 75 • 3

75 = —— = ——————

1 3

Step 5 :

Pulling out like terms :

5.1 Pull out like factors :

3x - 4x2 = -x • (4x - 3)

Adding fractions that have a common denominator :

5.2 Adding up the two equivalent fractions

-x • (4x-3) - (75 • 3) -4x2 + 3x - 225

—————————————————————— = ———————————————

3 3

Step 6 :

Pulling out like terms :

6.1 Pull out like factors :

-4x2 + 3x - 225 = -1 • (4x2 - 3x + 225)

Trying to factor by splitting the middle term

6.2 Factoring 4x2 - 3x + 225

The first term is, 4x2 its coefficient is 4 .

The middle term is, -3x its coefficient is -3 .

The last term, "the constant", is +225

Step-1 : Multiply the coefficient of the first term by the constant 4 • 225 = 900

Step-2 : Find two factors of 900 whose sum equals the coefficient of the middle term, which is -3 .

-900 + -1 = -901

-450 + -2 = -452

-300 + -3 = -303

-225 + -4 = -229

-180 + -5 = -185

-150 + -6 = -156

For tidiness, printing of 48 lines which failed to find two such factors, was suppressed

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

-4x2 + 3x - 225

———————————————

3

7 0

3 years ago

How many cubic inches are in 1 cubic foot

AleksandrR [38]

$\text{There are}\\ 12^3=1728 \\\text{cubic inches in a cubic foot.}$

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3 years ago

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In a survey, the eye colorseye colors of respondents are identified as 11 for brown eyes commabrown eyes, 22 for blue eyes comm

mr Goodwill [35]

Answer:

The answer is ratio Level of measurement

Step-by-step explanation:

It is important that I explain the various levels of measurement. There are four levels of measurement; nominal, ordinal, interval and ratio levels of measurement.

1. Nominal Level of Measurement; The nominal scale or level of measurement simply names or categorizes responses. examples are categorizing entries into religion, gender, hair color, etc. It is the lowest scale of measurement and they do not imply ordering among the group example, in classifying hair color, there is no numerical ordering value or red being more than black.

2. Ordinal Level of Measurement; Ordinal scale allows for comparison between two subjects to the degree of which they posses the dependent variable. For example, a researcher wanting to determine the level of satisfaction of customers to a product can group the customers from most dissatisfied to most satisfied.

3. Interval Level of Measurement; here, the level of measurement are numerical and they have the same distance (degree of difference) throughout. In the interval level of measurement, there is no true zero point on the scale, but the distance between two sets of points can have the same interval, but it will be irrational to make ratio comparisons. example is the Fahrenheit scale for temperature measurement, there is no true zero point, but a temperature difference between 20° F and 30° F is the same as the difference between 50° F and 60° F.

4. Ratio Level of Measurement; This is the most detailed level of measurement, and in addition to the interval scale, there is a true zero point. Mathematical computations can be carried out on them. It can be said to be the other three levels of measurement summed up in one. For example, money can be measured on the ratio scale because there is a zero point and it is mathematically accurate to say that 20 cents is twice as much as 10 cents. In our example, the survey is on eye color which ordinarily would have been on the nominal or categorical scale of measurement, but for the fact that the number of people possessing a quality is counted, it makes it ratio, and mean value was even calculated to be 1.5. There is a possibility of having a particular group of eye color with no participant, hence the zero point.

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3 years ago

Could someone check my answer please . Thank you

Elodia [21]

Hello! We will be using the Pythagorean theorum, where a² + b² = c². C is the clanted part of the triangle, and 13² is 169. a = 12, and we are looking for the value of b. 12² is 144. Let's subtract to find b. 169 - 144 is 25. Now, let's find the square root of 25 to find the length. √25 is 5. There. b = 5. The side length of side b is 5. The correct answer is C: 5.

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3 years ago