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Lena [83]
3 years ago
15

Dana picks three times as many tomatoes, t, as she does beets, b. She picks 42 tomatoes. Which equation represents this situatio

n?
b = 3(24)
b = 3 + 42
42 = 3 b
42 = 3 + b
Mathematics
1 answer:
Komok [63]3 years ago
4 0

Answer:

42 = 3b

Step-by-step explanation:

Three times as many tomatoes as beets means that for every beet picked, 3 tomatoes are picked

So the ratio of tomato to beet = 3: 1

Number of tomatoes = 42

this means, 3 : 1 = 42 : b

3/1 = 42/b

cross multiply

42 = 3b

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Which expressions are equivalent when y = 2 and y = 5? 2 y minus 1 and 3 y minus 5 + y 5 y + 4 and 7 y + 4 minus 2 y y + 7 and y
noname [10]

<u><em>Answer:</em></u>

Option b

<u><em>Explanation:</em></u>

The question is shown in the attached image

To answer this question, we will simply substitute in the given expressions with the values y=2 and y=5

The correct option will be the one having equal vales in both cases

<u>1. Option a:</u>

<u>At y = 2:</u>

2y - 1 = 2(2) - 1 = 3

3y - 5 + y = 3(2) - 5 + 2 = 3

<u>At y = 5:</u>

2y - 1 = 2(5) - 1 = 10

3y - 5 + y = 3(5) - 5 + 5 = 15

This option is <u>incorrect</u>, since both expressions are not equal at y = 5

<u>2. Option b:</u>

<u>At y = 2:</u>

5y + 4 = 5(2) + 4 = 14

7y + 4 - 2y = 7(2) + 4 - 2(2) = 14

<u>At y = 5:</u>

5y + 4 = 5(5) + 4 = 29

7y + 4 - 2y = 7(5) + 4 - 2(5) = 29

This option is <u>correct</u>, since both expressions are equal at the two vales of y

<u>3. Option c:</u>

<u>At y = 2:</u>

y + 7 = 2 + 7 = 9

y + 2 + y = 2 + 2 + 2 = 6

<u>At y = 5:</u>

y + 7 = 5 + 7 = 12

y + 2 + y = 5 + 2 + 2 = 12

This option is <u>incorrect</u>, since both expressions are not equal at y = 2

<u>4. Option d:</u>

<u>At y = 2:</u>

3y - 4 = 3(2) - 4 = 2

3y - 2 + y = 3(2) - 2 + 2 = 6

<u>At y = 5:</u>

3y - 4 = 3(5) - 4 = 11

3y - 2 + y = 3(5) - 2 + 5 = 18

This option is <u>incorrect</u>, since both expressions are neither equal at y = 2 or y = 5

Hope this helps :)

8 0
3 years ago
Evaluate the expression when q=5 and b=9.<br> a+4b
Ierofanga [76]

Step-by-step explanation:

a = 5

b= 9

a + 4b = ?

5 + 4×9 =

5 + 36 = 41

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

8 0
3 years ago
Which inequality explains why these three segments cannot be used to construct a triangle? EF + FD &gt; DE ED + EF &lt; DF ED +
Cerrena [4.2K]

we know that

The<u> Triangle Inequality Theorem</u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

in this problem

we have the segments EF, FD and DE

<u>to construct a triangle three inequalities must be met</u>

<u>case 1) </u>

EF+FD > DE

<u>case 2) </u>

FD+DE > EF

<u>case 3) </u>

EF+DE > FD

therefore

<u>the answer is</u>

ED + EF < DF

EF + FD < DE


5 0
4 years ago
Read 2 more answers
Plz help me im bad at this
andreyandreev [35.5K]

Answer:

if this helps it's 5

Step-by-step explanation:

2+2=5

8 0
3 years ago
The proportion of BYU-Idaho students that are married is p = .25. You plan to take a random sample of 100 students and calculate
Rama09 [41]

Answer:

p \sim N (p, \sqrt{\frac{p(1-p)}{n}})

And the parameters are given by:

The mean is given by:

\mu_p = 0.25

The standard deviation is:

\sigma_{p} =\sqrt{\frac{0.25(1-0.25)}{100}}= 0.0433

And the distribution would be bell shaped and normal

Step-by-step explanation:

For this case we have the following info given :

p =0.25 represent the proportion of BYU-Idaho students that are married

n = 100 represent the sample size

And for this case we can check the conditions in order to use the normal distribution:

1) np = 100*0.25 = 25>10

2) n(1-p) =100*(1-0.25)= 75>10[/tex]

3) Independence is assumed in each sample and the probability is the same

So then we have all the conditions satisfied, and the distribution for the proportion would be given by:

p \sim N (p, \sqrt{\frac{p(1-p)}{n}})

And the parameters are given by:

The mean is given by:

\mu_p = 0.25

The standard deviation is:

\sigma_{p} =\sqrt{\frac{0.25(1-0.25)}{100}}= 0.0433

And the distribution would be bell shaped and normal

3 0
3 years ago
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