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Dmitry_Shevchenko [17]
3 years ago
8

The ratio of the number of Jackie's pink T-shirts to the number of her purple T-shirts is 4:3. Which of the following cannot be

the total number of her pink and purple T-shirts?
(A) 28 (B) 42 (C) 70 (D) 48

With one: A,B,C or D?
Mathematics
2 answers:
9966 [12]3 years ago
6 0

Answer:

(D) 48

Step-by-step explanation:

Given,

The ratio of the number of Jackie's pink T-shirts to the number of her purple T-shirts = 4:3

Let pink T-shirts = 4x, purple shirts = 3x

Where,

x is any positive real numbers,

So, the total number of her pink and purple T-shirts = 4x + 3x = 7x

Since, 7x is the multiple of 7,

28, 42 and 70 are the multiple of 7,

So, they can be the total number of shirts,

But, 48 is not the multiple of 7,

Hence, 48 can not be the total number of her pink and purple T-shirts.

Sidana [21]3 years ago
4 0

Since the number of T-shirts must be a whole number (she cannot use half a t-shirt), the total number must be a multiple of 7 (at least 4 pink t-shirts + 3 purple t-shirts must exist). The only answer choice which is not a multiple of 7 is D) 48.

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Two different floor plans are being offered in a new housing development. Several prospective buyers from three different age gr
zepelin [54]

Answer:

0.677

Step-by-step explanation:Add up the values in the plan A column. There are 10+12+16 = 38 people who prefer plan A.

Add up the values in the "40-49" row to find that 16+8 = 24 people are ages 40 to 49.

We have 38+24-16 = 46 people who either prefer plan A, are aged 40-49, or fit both descriptions. I subtracted off 16 because those 16 people were counted twice when adding 38 and 24.

An alternative way to get this value of 46 is to add up everything that is in column1 or row 3 (or both). So that would get 10+12+16+8 = 46.

Now add up everything in the table to find out how many people were surveyed total. That would be 10+7+12+15+16+8 = 68 people overall.

The probability of someone liking plan A, or being age 40-49, or both is 46/68 = 0.6765 approximately. Rounding to 3 decimal places gives 0.677

3 0
2 years ago
state whether the lines represented by the equations y=1/2x-1 and y+4=-1/2(x-2) are parallel, perpendicular, or neither.
Zepler [3.9K]
Parallel because they have the same slope. Y+4= -1/2(x-2) is in point slope form, simplified to y intercept form is y=1/2-5... The slope (m) in both equations is the same, if you graphed the equations they would be parallel
7 0
3 years ago
The points (4,t) and (5,
aleksley [76]

Answer:

-3

Step-by-step explanation:

Here is a different example.

'm' is the gradient (or slope). We measure the difference between the two x values and two y values to see how each of them changed respectively. We know m = rise/run so we can put in our slope (7) and points to find t.

yhttps://www.google.com/url?sa=i&source=images&cd=&cad=rja&uact=8&ved=2ahUKEwjE0ciR9-XhAhWXfysKHfFwDVUQjRx6BAgBEAU&url=http%3A%2F%2Fpassyworldofmathematics.com%2Fgradient-slope-formula%2F&psig=AOvVaw1_FXiYTOdfwHU9OggjGhLw&ust=1556099125501066

8 0
3 years ago
Two positive, consecutive, odd integers have a product of 143. set up an equation to then solve for the integers.
mixer [17]

Answer:

Step-by-step explanation:

Let (2n-1) and (2n+1) be the consecutive, odd numbers.

(2n-1)(2n+1) = 143

4n² - 1 = 143

4n² = 144

n² = 36

n = 6

2n-1 = 11

2n+1 = 13

The numbers are 11 and 13.

6 0
2 years ago
Please answer as soon as possible
alekssr [168]

Answer:8^1/6*2^x=32^1/2

We move all terms to the left:

8^1/6*2^x-(32^1/2)=0

Domain of the equation: 6*2^x!=0

x!=0/1

x!=0

x∈R

We get rid of parentheses

8^1/6*2^x-32^1/2=0

We calculate fractions

There is no solution for this equation

   

4 0
3 years ago
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