Justin and his children went into a grocery store and he bought $18 worth of bananas and mangos. Each banana costs $0.60 and each mango costs $1.50. He bought 2 more bananas than mangos. Graphically solve a system of equations to determine the number of bananas, x, and the number of mangos, y, that Justin bought.

Write an answer in y=mx+b form, please.
Two equations.

Answer:

look down

Step-by-step explanation:

OK so u take something like 9/3 and then ask how many times the 3 goes into the 9 and that is your whole number. whatever is left is your top of the fraction and the bottom stays the same hope this helped

Answer:

To make an improper fraction into a mixed fraction:

1. Divide the numerator by the denominator

2. Write down the whole number answer

3. Then write down any remainder above the denominator

Example:

Turn 8/3 into a mixed fraction.

8 ÷ 3 = 2 R2

So... 2\(\frac{2}{3}\)

To make a mixed fraction into an improper fraction:

1. Multiply the whole number part by the fraction's denominator.

2. Add that to the numerator.

3. Then write the result on top of the denominator.

Example:

Turn 4\(\frac{6}{7}\) into an improper fraction.

4 x 7 = 28

28 + 6 = 34

So... \(\frac{34}{7}\)

I hope this helps and please mark me Brainliest!

The statement "If you are in Yellowknife, then you are in the Northwest Territories" is true.

Yellowknife is the capital city of the Northwest Territories in Canada, which means it is located within the territorial boundaries of the Northwest Territories. As the capital city, Yellowknife serves as the administrative and political center of the territory.

When we say, "If you are in Yellowknife, then you are in the Northwest Territories," we are making a logical statement based on the geographical and political context. It is a direct implication of Yellowknife's status as the capital city of the Northwest Territories.

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The two tangent angle theorem indicates that where the measure of the arc EB is 150° then we get;

The measure of the arc CEB = 210°

The measure of the angle m∠CDB = 30°

The two tangent angle theorem states that the angle formed at the intersection point of two tangent to a circle is half the difference of the measure of the intercepted arc.

The two tangent angle theorem indicates that the measure of the angle m∠CDB = (m\(\widehat{CEB}\) - m\(\widehat{CB}\))/2

The measure of the arc m\(\widehat{CEB}\) = 360° - 150° = 210°

Therefore; m∠CDB = (m\(\widehat{CEB}\) - m\(\widehat{CB}\))/2

m∠CDB = (210° - 150°)/2 = 30°

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If A and B are sets with A⊆B the a) A ∪B = B, b) A∩B = A.

a) Let A⊆B

Let x ∈ A∪B

Then x ∈ A or x ∈ B .....(i)

By definition of union we have

x ∈ A ⇒ x ∈ B .....(ii)

Using (i) and (ii), if x ∈ A, then x ∈  b. If x ∈ B, then clearly x ∈ B.

Thus given A⊆ B, then A∪B = B.

b) First assume A∩B which implies that x ∈ A and x ∈ B.

Hence we can implies the

A∩ B ⊆ A (we started with the element in A∩B and concluded that it is in A) ------(i)

Now, let x ∈ A which implies x ∈ B ( as A⊆ B)

Hence, x ∈ A∩B, which in turn imply

A ⊆ A∩B -----(ii)

From (i) and (ii) we get

A∩B = A

Therefore if A and B are sets with A⊆B, then A ∩B = B and A∩B = A.

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The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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Step-by-step explanation:

everything can be found in the picture

Answer:

x=0

Step-by-step explanation:

i googled it

Answer:

a) radius = 6.9288 units

b) OP = 13.857 units

Step-by-step explanation:

a)

As PA is tangent to the circle, the angle OAP is 90°, and if the angle of the arc AR is 60°, the angle AOP is also 60°.

So we can find the angle APO with the sum of internal angles of the triangle AOP:

90 + 60 + APO = 180

APO = 30°

Now, we can find the radius AO using the tangent relation of the angle APO, where the opposite side is the radius AO and the adjacent side is AP:

tangent(30) = AO / AP

0.5774 = AO / 12

AO = 0.5774 * 12 = 6.9288 units

b)

To find the length of OP, we can use the Pythagoras' theorem in the triangle AOP:

OP^2 = AO^2 + AP^2

OP^2 = 6.9288^2 + 12^2 = 192.01

OP = 13.857 units

Answer: 3:45

Step-by-step explanation:

Answer:

If you want this in an equation, it would be \(15x <32\)

If you want the answer to this, it would be \(x<2\frac{2}{15}\)

Step-by-step explanation:

Hope this helps:)

Answer

The median is 155

Step-by-step explanation:

You get the numbers from least to greatest then the middle number is your median.

The probability that a student chosen at random has a cat or a dog is; P(cat or dog) = 22/25.

What is probability?

Probability is that the branch of arithmetic regarding numerical descriptions of however probably an incident is to occur, or however probably it's that a proposition is true. The likelihood of an incident could be a range between 0 and 1.

Main body:

According to the question, the total number of students is; 25.

15 of them have a cat

16 of them have a dog

while, 3 of them have neither

where, x = number if students who own a cat and a dog.

Consequently, the total number of students who own a cat, a dog, both or neither is as follows;

15-x + x + 16-x + 3 = 25.

-x = 25 - 34

In essence, x = 9

the number of students who own a cat and a dog is 9.

Therefore, probability that a student chosen at random has a cat and a dog is therefore;

P(cat and dog) = 9/25.

Therefore probability that a student chosen at random has a cat or a dog is 22/25.

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Answer:

Step-by-step explanation:

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

Answer:

Step-by-step explanation:

Volume of prism = length * width * height  

                            = 8 1/2 *  7 * 4

                            \(= \frac{17}{2}*7*4\\\\=17 * 7 * 2\\\\= 238 cubic m\)

Answer: B (The cost of a notebook is $0.75, and the cost of a folder is $0.25.)

Step-by-step explanation:

No need for explanation. i know i’m right!!

Answer:

43,624 mm cubed

Volume of Prisms Equation:

V=(Areabase)(height)

Volume of Triangular Prisms:

V=(1/2×base×height)(HEIGHT OF PRISM)

Step by Step Explanation:

V=(1/2×38×28)(82)

Cancelling:

cancel 2 and 28 making it 1 and 14

since the fraction is now 1/1 it is not needed

Back to Solving:

=38×14×82

=43,624 mm cubed

Answer:

250/30= 25/3

inverse of 25/3= 3/25

Step-by-step explanation:

If 50% of the watches produced by the factory are defective, and the store buys a random sample of 400 watches, we can expect approximately 200 of those watches to be defective.

Considering that 50% of the watches produced by the factory are defective, and assuming that the store's purchase of 400 watches represents a random sample, we can expect around 200 of those watches to be defective.

This estimation is based on the assumption that the proportion of defective watches in the sample aligns with the overall proportion in the factory's production. it's important to note that there might be some variability, and the actual number of defective watches in the sample could differ slightly from the expected 200.

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Answer:

True!

Step-by-step explanation:

Answer:

True. Another word for tips is indeed gratuities

Step-by-step explanation:

Answer:

D = 31

Step-by-step explanation:

Consider the equation showing the distributive property.

84 +93 = 3 (28+ D)

The unknown value we are asked to find is D

Hence:

84 + 93 = 84 + 3D

Collect like terms

84 - 84 + 93 = 3D

93 = 3D

D = 93/3

D = 31

Therefore, the unknown value that would make the equation true is 31

The researcher concludes that there is a moderate positive linear relationship between January revenue and yearly revenue for her company based on the correlation coefficient of 0.60.

The researcher interprets the correlation coefficient of 0.60 as indicating a moderate positive linear relationship between January revenue and yearly revenue for her company.

A correlation coefficient ranges between -1 and +1, where a value of 0 represents no linear relationship, a positive value indicates a positive linear relationship, and a negative value indicates a negative linear relationship. The absolute value of the correlation coefficient reflects the strength of the relationship.

In this case, the correlation coefficient of 0.60 indicates a moderate positive linear relationship. This means that as January revenue increases, there is a tendency for the yearly revenue to also increase, but not to a very high degree. The strength of the relationship is not weak, as a correlation of 0.60 suggests a noticeable and significant relationship. However, it is not very strong either, as values closer to 1 would indicate a stronger and more predictable relationship.

Therefore, the researcher concludes that there is a moderate positive linear relationship between January revenue and yearly revenue for her company based on the correlation coefficient of 0.60.

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The equation for money collected m for h boxes of chocolate bars sold is m = 30h.

We are given that the band is selling every bar of chocolate for $1.50

Now, they have boxes of chocolate, with every box containing 20 bars of chocolate in them.

Hence if we are going to calculate the amount of money collected on selling one box it will be

20 X $1.5

= $30

We need to find the equation for the amount of money collected based on the number of boxes of chocolate bars sold.

We have been given that money collected should be represented b m while the number of chocolate boxes sold should be represented by h

Now we know that

Money collected = price per box X no.of boxes sold

we have already calculated the price per box hence we get

m = 30h

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Answer:

r = 5mm

Step-by-step explanation:

When two shapes are similar, They are the same shape but with 1 or more basic transformations(dilations, reflections, rotations, and translations.). All sides on the new shape (green) are similar to the original shape (blue), meaning they were all dilated by the same scale factor.

First, we need to find our scale factor. To find our scale factor, take 10 and divide it by 4 (These sides are similar and we have established values so we can be sure our scale factor is correct by using these.).

10/4 = 2.5

So, our scale factor is 2.5.

Now, to solve for r, we need to find it's similar side (in this case it's 2 mm.).

Now, simply multiply the original size by our scale factor.

2 * 2.5 = 5.

So, r = 5 mm (Don't forget units, teachers hate that.)

The strength of the surface cold pool in a squall line can be influenced by several factors. Some of the factors that can increase the strength of the surface cold pool include:

Temperature Contrast: A greater temperature difference between the cold pool and the surrounding environment can enhance its strength. The colder the air in the cold pool compared to the warm air outside, the stronger the cold pool will be. Stability of the Atmosphere: A more stable atmosphere, where the air is less prone to vertical mixing, can contribute to the intensification of the cold pool. Stability inhibits the vertical motion of air, allowing the cold pool to maintain its structure and strength.

Low-level Moisture: Higher levels of moisture near the surface can increase the strength of the cold pool. Moisture enhances the cooling effect of evaporation, which can intensify the cold pool. These factors, in combination or individually, can contribute to the strengthening of the surface cold pool in a squall line. It is important to note that the exact combination and relative importance of these factors can vary in different weather situations and locations.

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Answer:

That means that the roller coaster can be 800 feet or taller

which means greater than or equal to

r≥800

Step-by-step explanation:

Answer:

y is greater than or equal to 800 feet

Step-by-step explanation:

It says it is at least 800 feet, so it has to be higher than 800

The change for the day is 10 1/4

In this problem, we are expected to calculate the change in the price of a particular stock

Given that the days high is 80 3/4

and also that the days low is 70 1/2

we can calculate the change by subtracting the days low from the days high

i.e 80 3/4- 70 1/2= 323/4-141/2= (323-282)/4= 41/4

hence the change for the day is 41/4 =10 1/4

Also we can calculate the percentage change as

%change = (high-low)/low*100

%change= 80 3/4- 70 1/2/70 1/2*100= 41/4/70 1/2 *100

%change= 41/4*2/141*100

%change= 0.00145=0.145%

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Answer:

S=252logs

Step-by-step explanation:

bottom layer has a1 = 25

second layer has a2 = a1 - 1 = 24

third layer has a3 = a2 - 1 = a1 - 2 = 23

.

.

n-th layer has an an = a1 - n = 25 - n

the top layer contains an = 25 - n and we know that the top layer has 11 logs thus

25 - n = 11

n = 25 - 11

n = 14

there are 14 layers

the total number of logs is the sum of the first 14 members of the Arithmetic Progression 25, 24, 23, 23,.....11 where

an = 25 - n

Sn = (n/2)(a1 + an) and since n = 14

S14 = (14/2)(25 + 11) = 7*36 = 252

S14 = 252 logs

Part 1 of 4: If P = 0.09, the result is statistically significant at the α = 0.02 level. The statement is False.

Part 2 of 4: If P = -0.09, the null hypothesis is rejected at the α = 0.02 level. The statement is False.

Part 3 of 4: If P = 0.09, the result is statistically significant at the α = 0.10 level. The statement is False.

Part 4 of 4: If P = 0.09, the null hypothesis is rejected at the α = 0.10 level. The statement is False.

In hypothesis testing, the p-value (P) is compared to the significance level (α) to determine the statistical significance and whether to reject the null hypothesis.

Part 1: If P = 0.09, the result is statistically significant at the α = 0.02 level. This statement is False because if the p-value (P) is greater than the significance level (α), the result is not statistically significant, and we fail to reject the null hypothesis.

Part 2: If P = -0.09, the null hypothesis is rejected at the α = 0.02 level. This statement is False because the p-value cannot be negative, and the null hypothesis is rejected only if the p-value is less than the significance level (α).

Part 3: If P = 0.09, the result is statistically significant at the α = 0.10 level. This statement is False because if the p-value (P) is greater than the significance level (α), the result is not statistically significant, and we fail to reject the null hypothesis.

Part 4: If P = 0.09, the null hypothesis is rejected at the α = 0.10 level. This statement is False because the null hypothesis is rejected only if the p-value is less than the significance level (α). If the p-value is greater than α, we fail to reject the null hypothesis.

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