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kogti [31]
2 years ago
13

Translate and solve: seventy-eight times n is at least 312.

Mathematics
1 answer:
RideAnS [48]2 years ago
7 0

It translates to 78n \ge 312 which solves to n \ge 4 after dividing both sides by 78. This means n is equal to 4 or it can be larger than 4.

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Janisa researched fast-growing industries and occupations, while Rylan researched industries and occupations that have the highe
topjm [15]

Answer:

<u>Janisa found that home health care is the fastest-growing occupation and services for the elderly is the fastest growing industry, while Rylan found that elementary and secondary school teaching are the occupations with the highest employment and retail sales is the industry with the highest employment. </u>

<u>Explanation:</u>

We make this conclusion because when we look at all the other options none matches the definition of occupations and industries. However, if Janisa found that home health care is the fastest-growing<u> occupation</u>, and then services for the elderly are the fastest growing <u>industry,</u> it matches what we know an industry and occupation mean.

While, if Rylan found that elementary and secondary school teaching are the occupations with the highest employment, it matches an example of occupation also, and if he discovers that retail sales is the industry with the highest employment it also falls under industry types.

However, the other options mismatched industry examples for occupations.

9 0
2 years ago
Which rule describes the composition of transformations that maps pre-image ABCD to final image A"B"C"D"? Reflection across the
NeTakaya

Answer:

Your answer is the first point

A reflection across the x-axis and then a transformation of -6 and 1.

7 0
2 years ago
What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?
Assoli18 [71]

Answer:

The sum is a binomial with a degree of 6

Step-by-step explanation:

we have

(3x^{2}y^{2}-2xy^{5})+(-3x^{2}y^{2}+3x^{4}y)

Group terms that contain the same variable

(3x^{2}y^{2}-3x^{2}y^{2})-2xy^{5}+3x^{4}y

0-2xy^{5}+3x^{4}y

-2xy^{5}+3x^{4}y

The sum is a binomial ( two terms) with a degree of 6  

-2xy^{5} has a degree of 6 (x has an exponent of 1, y has 5, and 1+5=6)

6 0
2 years ago
Read 2 more answers
If ΔMNO ≅ ΔXYZ, then what corresponding parts are congruent?
8090 [49]

Answer:

∠N and ∠Y

Step-by-step explanation:

When two triangles are congruent then there corresponding parts ( angle or sides ) are also congruent or equal, ( CPCTC )

In triangles MNO and XYZ,

Side MN, NO and OM are corresponding to XY, YZ and ZX respectively,

And, angles M, N and O are corresponding to angles X, Y and Z respectively,

Thus, if ΔMNO ≅ ΔXYZ

By CPCTC,

MN ≅ XY

NO ≅ YZ

OM ≅ ZX

Also, ∠M ≅ ∠X, ∠N ≅ ∠Y and ∠O ≅ ∠Z

Hence, THIRD OPTION is correct.

4 0
2 years ago
Read 2 more answers
Lines a and b are cut by transversal f. At the intersection of lines f and a, the top left angle is 96 degrees. At the intersect
Free_Kalibri [48]

Answer:

C. 22

Step-by-step explanation:

Inverse Alternate Interior Angles Theorem sttes that if two lines a and b are cut by transversal f so that the alternate interior angles are congruent, then a║b.

To prove that lines a and b are parallel, equate the measures of angles 96° and (6x-36)°:

6x-36=96\\ \\6x=96+36\\ \\6x=132\\ \\x=22

6 0
2 years ago
Read 2 more answers
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