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nikdorinn
2 months ago
11

Jessica is 5 years older than her sister Jenna. Jenna tells her sister that in 5 years, she will be as old as Jessica was 5 year

s ago. If Jenna’s age is x, which equation represents the situation? How many solutions does the equation have?
Mathematics
1 answer:
Leona [12.6K]2 months ago
6 0
The equations 1, 3, 4, and 5 mentioned have solutions. The situation is described by the following equations: 1. x + 5 = (5 − x) − 5, which has a single solution; 2. x + 5 = (x + 5) − 5, which has infinitely many solutions; 3. x + 5 = (x + 5) − 5, resulting in no solutions; 4. x + 5 = (5 − x) − 5, which has multiple solutions; and 5. (x + 5) + 5 = (x + 5) + 5, which has many solutions. Notably, equation 2 does not yield any solution, while the remaining equations produce one or more solutions.
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Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y
babunello [11817]

Answer:

n = 3

XY = 39

XZ = 39

Step-by-step explanation:

Given

XY = 9n + 12

XZ = 15n - 6

Solving for (a): n

To find n;

We will utilize

XY = XZ

Substituting values for XY and XZ

9n + 12 = 15n - 6

9n - 15n = -12 - 6

-6n = -18

Dividing by -6

n = 3

Solving for (b) XY

XY = 9n + 12

Substituting 3 for n

XY = 9 * 3 + 12

XY = 27 + 12

XY = 39

Solving for (c): XZ

XZ = XY

XZ = 39

7 0
2 months ago
While on vacation in Canada, you notice that temperatures are reported in degrees Celsius. You know there is a linear
zzz [12365]

Given that the relationship is linear.

The equation can be expressed as y = mx + c.

Substituting, when x = 0, we have y = 32.

Thus, 32 = c.......( 1 )

Then, when x = 100, y results in 212.

Which gives us:

212 = 100m + c.......( 2 )

By equating equations 1 and 2, we obtain:

100m = 212 - 32

Solving for x yields 1.8.

The final equation is therefore y = 1.8x + 32.

Hence, this represents the required solution.

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2 months ago
A Climbing Gym charges $10 to climb each day. A pair of Climbing shoes cost $84. It cost $169 to buy 6 days of climbing, one pai
PIT_PIT [12445]
Cost for 6 days of climbing = $10 * 6 = $60
Cost for a pair of shoes = $84
Total expenditure = $169

Thus, the cost for one harness = $169 - $(84+60)
harness = $169 - $144 = $25

Thus, the final answer is $25.
8 0
2 months ago
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lawyer [12517]
E. All of the other options provided are incorrect. Step-by-step explanation: ANOVA, or analysis of variance, is employed to evaluate the variances among group averages within a dataset. The sum of squares is regarded as the total of squared deviations, defined as the distance between each individual observation and the overall mean. Assuming there are groups comprised of individuals, we can articulate the relevant variance formulas. In this instance, the numerator's degrees of freedom can be calculated as k - 1, where k equals the five groups. The denominator's degrees of freedom are determined through n - k, where n reflects the total number of observations across all groups. For this scenario, the numerator yields 4 and the denominator results in 95. Hence, E. None of the above answers is correct.
8 0
2 months ago
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