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Stolb23 [73]
3 years ago
13

A recent testing survey showed ¼ of all people surveyed preferred baking soda toothpaste to regular toothpaste. If 28,000 people

were in the survey, how many favored regular toothpaste?
Mathematics
1 answer:
iVinArrow [24]3 years ago
3 0

Answer:

21,000 people preferred regular toothpaste

Step-by-step explanation:

28,000x1/4= 7000

7,000 people preferred baking soda toothpaste

28,000-7,000=21,000

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Write the equation of the line that satisfies the following conditions:
eduard

Answer:

a. y=-x+-5

b. y=\frac{4}{3}x+\frac{5}{3}

Step-by-step explanation:

to solve part a we have the slope of the line and a point, so we use the point-slope equation

y=m(x-x_{1})+y_{1}

where m is the slope: m=-1, and (x_{1},y_{1}) is the point, so in this case the point is (0,-5) thus x_{1}=0 and y_{1}=-5.Thus the equation is:

y=-1(x-0)+(-5)

y=-x+-5

And for part b we have two points. With the two points we can find the slope and then use the point-slope equation again.

To find the slope we use:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

for the points (x_{1},y_{1}) and (x_{2},y_{2}). Since we have the poits: (1,3) and (-2,-1)

x_{1}=1\\y_{1}=3\\x_{2}=-2\\y_{2}=-1

Thus, the slope:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-1-3}{-2-1}

m=\frac{-4}{-3}

m=\frac{4}{3}

and now using the point-slope equation:

y=m(x-x_{1})+y_{1}

y=\frac{4}{3}(x-1)+3\\y=\frac{4}{3}x-\frac{4}{3} +3\\y=\frac{4}{3}x+\frac{5}{3}

7 0
3 years ago
Which transformation moves all points the same distance in the same direction?
Lesechka [4]

Answer:

In a translation, ALL of the points move the same distance in the same direction. A translation is called a rigid transformation or isometry because the image is the same size and shape as the pre-image.

Step-by-step explanation:

5 0
3 years ago
Show the work pls <br> thanks
Liono4ka [1.6K]

(26 - 6) : 2 =

20 : 2 =

10 feet


4 0
3 years ago
1.)Given the recursive definition LaTeX: a_{n+1}=2\cdot a_n+1a n + 1 = 2 ⋅ a n + 1, and that LaTeX: a_1=1a 1 = 1, find LaTeX: a_
aksik [14]

Answer:

1) 1023

2) 8

Step-by-step explanation:

1)

Given:

a_{n+1}=2\cdot a_n + 1 and a_1 = 1

Then,  the next table can be computed (only the first terms are explicitely shown)

n      a_n

1       1

2      a_{2}=2\cdot 1 + 1 = 3

3      a_{3}=2\cdot 3 + 1 =7

4      15

5      31

6      63

7      127

8      255

9      511

10     1023

2)

Given

t_n=n^2-2n

Then,  the next table can be computed

n      t_n

1       t_1=1^2-2(1) =-1

2      t_2=2^2-2(2) =0

3      t_3=3^2-2(3) =3

4      t_4=4^2-2(4) =8

4 0
3 years ago
How many soutions does this equation have?
DiKsa [7]

Answer:

\huge\colorbox{pink}{✏﹏ \: C. \: Infinite Solutions \: }

➳ These equations will have <u>infinite solutions</u> because they are in 2 variables. Any value can be substituted in the place of the variables x & y.

8 0
3 years ago
Read 2 more answers
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