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mote1985 [20]
3 years ago
8

Celia used celery, carrots, and tomatoes in a recipe. Use the clues to find the amount of each ingredient she used. CLUE 1: The

amounts were 2/5 cup, 3/4 cup, and 5/8 cup. CLUE 2: There is less celery than tomatoes. CLUE 3: There is less tomatoes than carrots.
Mathematics
1 answer:
scoray [572]3 years ago
5 0

Answer:

Celery = 3/8 cups

Tomatoes = 2/5 cups

Carrot = 5/4 cups

Step-by-step explanation:

CLUE 1: The amounts were 2/5 cup, 3/4 cup, and 5/8 cup

CLUE 2: There is less celery than tomatoes.

CLUE 3: There is less tomatoes than carrots

From clue 2 and 3:

Tomato > Celery ; Carrots > tomatoes

From least to highest :

Celery < Tomatoes < Carrot

Arranging clue 1 in ascending order :

2/5 = 0.4

3/8 = 0.375

5/4 = 1. 25

Hence,

3/8 < 2/5 < 5/4

Celery = 3/8 cups

Tomatoes = 2/5 cups

Carrot = 5/4 cups

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Answer:

The correct answer is;

ΔANT ≅ ΔFLE by the SIde-Side-Side (SSS) rule of congruency

Step-by-step explanation:

The given information are;

Segment TN is congruent ts segment EL

Segment TA is congruent ts segment EF

Segment AN is congruent ts segment FL

Therefore, triangle ΔANT is congruent to ΔFLE by the Side-Side-Side (SSS) rule of congruency

One of the rule used to serve as proof that two or more triangles are congruent, is the Side-Side-Side (SSS) rule of congruency. The Side-Side-Side rule of congruency states that if the dimensions of the three sides of one triangle are equal to the dimensions of the three sides of another triangle, the two triangles are congruent.

Therefore, the correct option is ΔANT ≅ ΔFLE by the Side-Side-Side (SSS) rule of congruency

7 0
3 years ago
A population of 120 beetles increases at an annual rate of 30%. How many beetles will there be in 16 years? Write an expression
Bas_tet [7]

Answer:

Expression: 120(1.3)^{16}

Beetles after 16 years: 7984 beetles

Step-by-step explanation:

Since the population increases 30% annually every year on the population size of that year, then we need to use a compound interest formula which would be the following

A = P (1 + r/n) (nt)

A = the future amount

P = the initial amount

r = the annual increase rate (decimal)

n = the number of times that interest/increase is compounded per unit t

t = the number of years

Using the values in the question the expression for this scenario would be the following

120(1 + (0.30 / 1))^(1*16)

120(1.3)^{16}

7984.99

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Answer:

29.666...

Step-by-step explanation:

6 0
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Then it contains 38 doses becasue 76 divide 2 is 38

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Evaluate the expression for the given value of x.<br> 3x + 4 for x= 5
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3x+4
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I hope this helps!
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3 years ago
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