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Serjik [45]
3 years ago
11

Solve the following equation, answer as a reduced, mixed number. Then place the correct number in the box provided. 4(7 - 3x) =

7(4 - 2x)
Mathematics
1 answer:
Luda [366]3 years ago
3 0

Answer:  x = 0

<u>Step-by-step explanation:</u>

4(7 - 3x) = 7(4 - 2x)

28 - 12x = 28 - 14x        <em>distributed</em>

28 + 2x = 28                 <em>added 14x to both sides</em>

       2x = 0                    <em>subtracted 28 from both sides</em>

         x = 0                     <em>divided both sides by 2</em>

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The softball team stopped for ice cream after a big game. five 2-scoop cones cost the same as three sundaes. If they bought nine
Savatey [412]
<span>Let the cost of 2-scoop cones be x, and the cost of sundaes be y.
The first statement tells us that 5x = 3y
The second statement tells us that 9x + 6y = 19.95
Then we need to calculate the value of y (the cost of a sundae).
From our first equation, y = 5x/3. Substituting this into the second equation:
9x + 6(5x/3) = 19.95
9x + 10x = 19.95
19x = 19.95
x = 1.05
Substituting back into the first equation: 5(1.05) = 3y
5.25 = 3y
y = 1.75
Therefore the cost of a sundae is $1.75.
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3 0
3 years ago
In the given diagram, find the values of x, y, and z.
SSSSS [86.1K]

Answer:

a. x = 36°, y = 36°, z = 34°

Step-by-step explanation:

X = 36° because x and 144° are supplementary angles and the sum of supplementary angles = 180°

The sum of interior angles in a triangle is equal to 180° since one of the angle is given as 110° the sum of z and y must be equal to 70° the option that fits these qualities is a. x = 36°, y = 36°, z = 34°

5 0
3 years ago
14. Write a conditional statement that is TRUE and has a converse that is FALSE.
zepelin [54]

Answer:

conditional: if it is a rose then it's a flower

converse: if it is a flower then it's a rose

8 0
3 years ago
The inverse, f'(x), of f(x) =
astraxan [27]

Step-by-step explanation:

Given

f(x) =  \frac{x + 5}{x}

So

f(2) = \frac{2 + 5}{2}  \\  =  \frac{7}{2}

Now

{f}^{ - 1} (x) =  \frac{5}{x - 1}

So

{f}^{ - 1} (2) =  \frac{5}{2 - 1} \\  =  \frac{5}{ 1}   \\  = 5

Hope it will help :)❤

7 0
2 years ago
Based on data from the U.S. Census Bureau, a Pew Research study showed that the percentage of employed individuals ages 25-29 wh
makvit [3.9K]

Answer:

a.] d) employed individuals aged 25-29

b.] a) Have your earned a bachelor's degree (or higher)?

C.] Categorical

Step-by-step explanation:

According to the scenario described, the population being studied are those aged between 25 - 29 years and who are employed. The study was to determine the level of education of the respondents who happens to fall into the category of being employed and within the 25 - 29 Years age bracket.

The most appropriate question to ask in other to establish if respondent has at least a bachelor's degree is to explicitly ask if the respondent has a bachelor's degree or higher.

C) Categorical : The response to the question will best directly take a 'yes' 'no' format which is a categorical label which could then be transformed into dummy variables for further analysis

8 0
3 years ago
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