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Sidana [21]
3 years ago
5

If the area of the rectangle shown is given by the expression 3x2 + 72 - 6and the width is (a + 3), which of the

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
4 0

Answer:

3x - 2.

Step-by-step explanation:

The length = area / width.

The area 3x^2 + 7x - 6 = (3x - 2 )(x + 3)

so the length =  (3x - 2 )(x + 3 ) / x + 3

= 3x - 2.

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A recipe uses 1/4 teaspoon of salt and 2 1/2 teaspoons of sugar. What is the ratio of salt to sugar in this recipe?​
KATRIN_1 [288]

Answer:

1:10

Step-by-step explanation:

the ratio we can it is

\frac{amount\:salt}{amount\:sugar}\\\\\frac{\frac{1}{4}}{2\frac{1}{2}}\\\\\frac{\frac{1}{4}}{\frac{5}{2}}\\\\\frac{1\times2}{4\times5}\\\\\frac{1}{2\times5}\\\\\frac{1}{10}

so the ratio is 1:10

5 0
2 years ago
Darin has a rectangular vegetable garden. It is 5 yards long and 8 feet wide.
Lelu [443]

Answer:

about 15.328 yrds

Step-by-step explanation:

two sides are 5 yrds, so 5+5= 10yrds. two sides are 8 ft, 8+8=16 ft. there are .3333 yrds in 1 foot so 16*.3333 = about 5.328yrds

10+5.328 = 15.328

7 0
3 years ago
Write the decimal expansion for each rational number. a.1/9 b.10/11 c.1 5/27
Contact [7]

Im answering your question bc I need points ty :)

5 0
2 years ago
Find the angle measure of angle E in Triangle DEF if angle D is 34 degrees & angle E is 117 degrees.
Sliva [168]

Answer:

29

Step-by-step explanation:

full angle of a triangle is 180 and 34+177=151 then you just do 180-151=29.

4 0
3 years ago
Kirsten runs an experiment for her Research Methods class in which she studies vocabulary learning in introductory-level French
Sidana [21]

Answer:

Kristen should use the paired <em>t</em>-test.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired-samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference between these two means.

We use the paired t-test if we have two measurements on the same item, person or thing. We should also use this test if we have two items that are being measured with a unique condition.

For instance, an experimenter tests the effect of a medicine on a group of patients before and after giving the doses.

In this case, Kristen assesses the students' knowledge of French vocabulary at the start of the semester and then again at the end of the semester.

So, she collects data before and after the semester for vocabulary learning in introductory-level French class.

Thus, she is using a paired <em>t</em>-test to analyze whether the French students significantly increased their knowledge of French vocabulary.

The hypothesis is defined as:

<em>H₀</em>: There is no difference between the two means, i.e. <em>μ</em>₁ - <em>μ</em>₂ = 0.

<em>Hₐ</em>: There is a significant difference between the two means, i.e. <em>μ</em>₁ - <em>μ</em>₂ ≠ 0.

The test statistic is:

t =  Sample mean difference ÷ (Standard deviation of difference/ Sample size)

Thus, Kristen should use the paired <em>t</em>-test.

7 0
3 years ago
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