Bella has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $353.59.
She buys 3 bicycle reflectors for $4.98 each and a pair of bike gloves for $38.63.
She plans to spend some or all of the money she has left to buy new biking outfits for $49.20 each.

Write and solve an inequality which can be used to determine x, the number of outfits Bella can purchase while staying within her budget.

Answer:

[tex]\text{Equation: }2\angle B+\angle B=90\\\angle A=60^{\circ},\\\angle B=30^{\circ}[/tex]

Step-by-step explanation:

Complimentary angles are angles that add up to 90 degrees. Therefore, we can write the following system of equations:

[tex]\begin{cases}\angle A=2\angle B,\\\angle A+\angle B=90\end{cases}[/tex]

Solving, we obtain the equation:

[tex]2\angle B+\angle B=90,\\3\angle B=90,\\\angle B=\boxed{30^{\circ}}[/tex]

Plugging this back in to our first equation, we get:

[tex]\angle A=2(30)=\boxed{60^{\circ}}[/tex]

Answer:

∠A = 60

∠B = 30

Complementary angles are angles that add up to 90 degrees, and the measure of ∠A is twice as much as ∠B

60 + 30 = 90

60 / 30 = 2

60 / 2 = 30

Step-by-step explanation:

The other answer is still correct, just thought I'd make it simpler.

Hope this helps!

The r-value is that represents the weakest correlation is D. -0.05

The connection between the independent (x) and dependent (y) variables in the graph can be graphically represented using regression lines.

In a linear model, the terms are added rather than multiplied, divided, or provided as a non-algebraic function, as has been the case thus far in this section. Analysis of experimental, monetary, and biological data as well as complex system prediction are both possible using linear modelling.

A statistical technique used to build a linear model is called linear regression. The model explains how one or more independent variables Xi relate to a dependent variable y (also known as the response) (called the predictors). The distance between each data point and the regression line is called a residual.

Given data ,

The r-value is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation.

Among the given options, the r-value that represents the weakest correlation is D. -0.05. This is because the absolute value of -0.05 is small compared to the other options, indicating a weaker linear relationship between the variables.

To learn more about linear regression click :

https://brainly.com/question/29753986

#SPJ7

Given:

[tex]4\times 50 =8\times 25[/tex]

To find:

The steps to prove the given statement by using the properties of multiplication.

Solution:

We have,

[tex]4\times 50 =8\times 25[/tex]

Taking left hand side, we get

[tex]LHS=4\times 50[/tex]

[tex]LHS=4\times (2\times 25)[/tex]

[tex]LHS=(4\times 2)\times 25[/tex]     (Associative property of multiplication)

[tex]LHS=8\times 25[/tex]

[tex]LHS=RHS[/tex]

Hence proved.

Answer:

I honestly don't know I'm just trying get my points up

Step-by-step explanation:

Sorry bestie

Answer:

x=38 The angle type is alternate exterior

Step-by-step explanation:

Answer:

alternate angle pair are they

Step-by-step explanation:

# Jerry Don is here#

Answer:

The correct option is (c).

Step-by-step explanation:

The given expression is :

[tex]14(\dfrac{3}{2}\times \dfrac{1}{4})[/tex]

We need to use the associative property to make it easier.

The associative property for multiplication is as follows :

[tex]A\times (B\times C)=(A\times B)\times C[/tex]

We have,

[tex]A=14, B=\dfrac{3}{2}\ and\ C=\dfrac{1}{4}[/tex]

[tex]14(\dfrac{3}{2}\times \dfrac{1}{4})=(14\times \dfrac{3}{2})\times \dfrac{1}{4}[/tex]

Hence, the correct option is (c).

Answer:

<2 = 133degrees

<1 = 135degrees

Step-by-step explanation:

From the diagram, the angle <2 and 47 are supplementary, hence;

<2 + 47 = 180

<2 = 180 - 47

<2 = 133degrees

To get <1;

47 = 1/2(<1 - 41)

47 * 2 = (<1 - 41)

94 = <1 - 41

<1 = 94 + 41

<1 = 135degrees

Answer:

(-3,2)

Step-by-step explanation:

It was not letting me add my answer for some reason, but my image is attached below. I hope this helped you.

Answer:

x = 8.481 or -4.481

Step-by-step explanation:

x^2 - 4x - 9 = 29

x^2 - 4x - 9 - 29 = 0

x^2 - 4x - 38 = 0

x1  

= −(−4) − √ (−4)2 − 4×1×(−38)  

2×1

= 4 − 2 × √ 42  

2

≈ −4.481

x2  

= −(−4) + √ (−4)2 − 4×1×(−38)  

2×1

= 4 + 2 × √ 42  

2

≈ 8.481

x = 8.481 or -4.481

Have a nice day!

Answer:

2

Step-by-step explanation:

Answer:

34.8 + 6.879 = 41.679

The ratio of boys to girls in the school’s choir is 3:4. If there

are 12 girls in the choir then there are 9 boys

45% of 175 is 78.75

8^2 - (5^2+ 1) = 38

Brainliest?

Answer:

d

Step-by-step explanation:

Answer:

3.......................

Answer:

b

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

R = -0.8908

R² = 0.7935

Step-by-step explanation:

Given the data:

X :

5

3

6

3

4

4

6

8

Y :

13

15

7

12

13

11

9

5

Using technology, we could obtain the correlation Coefficient (R) using the Pearson correlation Coefficient calculator :

R = -0.8908 ; This means that there is a strong negative relationship between x and y. That is, an increase in x will lead to a corresponding decrease in y and vice versa.

The Coefficient of determination (R²) ; is obtained by taking the squared value of R

R² = (-0.8908)² = 0.7935 ; This means that about 79.35% of the variation is y is explained by the regression line.

Answer:

you would make 400 each week

Step-by-step explanation:

Answer:

0.6429

Step-by-step explanation:

Let, s = play a sport

c = participate in a club

P(s) = 0.14

P(s n c) = 0.09

probability that a student participates in

a club given that they also play a sport = P(c | s)

P(c | s) = P(c n s) / P(s)

P(c | s) = 0.09 / 0.14

P(c | s) = 0.64285

= 0.6429

Answer:

5 6/12 or 5 1/2

Step-by-step explanation:

Answer:

16v

Step-by-step explanation:

3x + 11 = 4x - 5

11+5 = 4x -3x

x = 16

I hope im right!!

Answer:

$66

Step-by-step explanation:

Let the money that you started off with be called x.

You spend $62 on a game: x-62

You receive $50 for painting a fence: x-62+50 = x-12

You give $10 to your friend: x-12-10 = x-22

You have $44 left: x-22=44, x=44+22=66

Answer:

Both boats will be 54 miles apart after 3 hours.

Step-by-step explanation:

Given that from a point on a river, two boats are driven in opposite directions, one at 7 miles per hour and the other at 11 miles per hour, to determine how many hours they will be 54 miles apart, the following calculation must be performed :

54 / (11 + 7) = X

54/18 = X

3 = X

Therefore, both boats will be 54 miles apart after 3 hours.

Answer: 1230

Step-by-step explanation: 22 hours that's how much she will be studying in total till the seventh day

and 105 mins till the seventh day

so she will be studying 1230 in total so put 1230 at the blank

1230 is your answer

Answer:

Part B: 105

Step-by-step explanation:

15

15x2 =30

30x2 =60

60x2 =120

120x2 =240

240x2 =480

480x2 =960

960/60 =16 hours

I hope I helped!

Answer:

A sample of [tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex] is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.

This means that [tex]n = 1012, \pi = \frac{374}{1012} = 0.3696[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

How large a sample size is needed to be 95% confident with a margin of error of E?

A sample size of n is needed, and n is found when M = E.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]E = 1.96\sqrt{\frac{0.3696*0.6304}{n}}[/tex]

[tex]E\sqrt{n} = 1.96\sqrt{0.3696*0.6304}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.3696*0.6304}}{E}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex]

[tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex]

A sample of [tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex] is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

Answer:

Step-by-step explanation:

1st on is one solution

2nd one is no solution (the lines have the same slope but different y- intercepts

3rd is infinitely many solutions (the equations are the same)

Answer:

the first 2 are true the third one is false but I'm not too sure about the last one I think it would be true but I don't want to be the reason you get it wrong

Step-by-step explanation:

to find the mean you add all of them and divide by the number of items so the mean is 3.

I hope this helps I'm sorry I can't give you the exact answer to the last one

Answer:

Step-by-step explanation:

4/x = x/9

1 = [tex]x^{2}[/tex] / (9*4)

1 = [tex]x^{2}[/tex] / 36

36 = [tex]x^{2}[/tex]

6 =X