Pilar used five reusable shopping bags recent purchase she made at a grocery store. Each bag decreased the amount she spent by 10 cents. What was the change to the amount Pilar spent at the grocery state by using the reusable bags?

Answer:

3.

Step-by-step explanation:

We have been given graph of a function. We are asked to find the value of our given function at [tex]x=-2[/tex].

To find the value of our given function at [tex]x=-2[/tex], we need to find the y-value of our given function when [tex]x=-2[/tex].

We can see that value of y-coordinate is 3, when [tex]x=-2[/tex], therefore, at [tex]x=-2[/tex] the value of the function is 3.

Answer:

D) 17.25

Step-by-step explanation:

If you want to summarize all the data points with a single number you want a measure of center such as mean. The mean for the data set is 17.25. All the others represent a measure of spread.

Answer:

17.25

Step-by-step explanation:

Answer:  The required value of b lies in the interval [0.5, 6.5].

Step-by-step explanation:  We are given to find the value of b so that the following fraction belong to the interval [−2, 1] :

[tex]f=\dfrac{5-2b}{4}.[/tex]

According to the given information, we can write

[tex]-2\leq f\leq 1\\\\\Rightarrow -2\leq \dfrac{5-2b}{4}\leq1\\\\\Rightarrow -8\leq 5-2b\leq 4\\\\\Rightarrow -8-5\leq-2b\leq 4-5\\\\\Rightarrow -13\leq -2b\leq -1\\\\\Rightarrow 13\geq 2b\geq 1\\\\\Rightarrow \dfrac{13}{2}\geq b\geq \dfrac{1}{2}\\\\\Rightarrow 6.5\geq b\geq 0.50[/tex]

Thus, the required value of b lies in the interval [0.5, 6.5].

Final answer:

By calculating 5/7 of 27, we find that approximately 19 students are wearing jeans today after rounding down to the nearest whole number.

Explanation:

To find out how many students are wearing jeans, we need to calculate 5/7 of the 27 students in the class.

First, we determine the value of one seventh of the class by dividing the total number of students by 7:

27 ÷ 7 = 3.8571 (we can round this to 3.86 for simplicity)

Next, we multiply this result by 5 to find five sevenths:

3.86 × 5 = 19.3

Since we cannot have a fraction of a student, we round down to the nearest whole number. Therefore, approximately 19 students are wearing jeans today.

It's important to understand and apply fractions and division to solve such mathematical problems. This example showcases the practical application of these concepts.

2 to the fifth power over 3 squared all raised to the fourth power

[tex]\left(\dfrac{2^5}{3^2}\right)^4=\dfrac{(2^5)^4}{(3^2)^4}=\dfrac{2^{5\cdot4}}{3^{2\cdot4}}=\dfrac{2^{20}}{3^8}[/tex]

Answer: 2 to the twentieth power over 3 to the eighth power

Used:

[tex]\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\(a^n)^m=a^{n\cdot m}[/tex]

Answer:

yes

Step-by-step explanation:

Answer:

A weak negative correlation

Step-by-step explanation:

[tex]correlation, r = \frac{∑(y-\alpha)(x-\beta }{\sqrt{∑(y-\alpha)^2∑(x-\beta )^2 } }[/tex]

where,

[tex]\alpha = \frac{∑y}{n} \\\beta =\frac{∑x}{n} \\∑ = summation[/tex]

[tex]\alpha = \frac{3230}{4} = 807.5\\\\\\\beta =\frac{46}{4} = 11.5[/tex]

[tex]therefore,\\\\r= -0.12924[/tex]

This represents a weak negative correlation

Answer:A weak Negative correlation

Step-by-step explanation:

The correct expression is P + 10 = -3

We have a sentence - "10 more than P is -3".

We have to determine the expression that represents the sentence.

The expression representing the above statement is -

n = x - y

According to the question, we have -

10 more than P is -3

We can write it as a expression -

P + 10 = -3

Hence, the correct expression is P + 10 = -3

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Answer:

Mia hiked 450 ft before the first stop.

Step-by-step explanation:

Mia hiked along a 2250 foot mountain trail.

She stopped 4 times, she rested and after that stopped 5 times.

She walked the same distance between each stop.

It means 5 stops and the same distance with each time.

We need to calculate the distance between each stop. Total distance T = 2250 ft, and stops S = 5.

We can isolate the distance of each Stop E from:

T = S*E

E = T/S = (2250 ft)/(5)

E = 450 ft.

Finally, She hiked 450 ft before the first stop. 

Mia hiked 450 feet before the first stop.

Distance is defined as the product of speed and time.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operations is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

Given that Mia hiked along a 2250-foot mountain trail.

She stopped 4 times along the way to rest and then a fifth time at the end of the trail,

And she walked the same distance between each stop.

It indicates 5 stops with a constant distance between them.

To determine the distance between each stop.

Total distance D = 2250 ft, and stops X = 5.

Each Stop Y's separation from the other can be determined.:

⇒ D = X×Y

⇒ Y = D/X

Substitute the value of D and X in the above equation,

⇒ Y = (2250 feet)/5

Divided by 5

⇒ Y = 450 feet.

Hence, Mia hiked 450 feet before the first stop.

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Abebe's mom will give him ¼ of whatever he saves. If Abebe saves $23, his mom will give him 0.25 times $23, which is $5.75.

The question asks how much money Abebe's mom will give him if she gives ¼ of whatever he saves, and he saves $23. To find out how much his mom will give him, we must calculate ¼ of $23.

If Abebe saves $23, and his Mom will give him an extra $19.19 of whatever he saves, you can calculate the total amount he will have as follows:

Total amount = Savings + Mom's extra contribution

             = $23 + $19.19

             = $42.19

Therefore, Abebe will have a total of $42.19. None of the provided options ($5.26, $2.56, $5.11, $6.52) match this amount. It seems there might be an error in the answer choices or the problem statement. Please double-check the values or context provided.

Step 1: Convert the fraction ¼ to a decimal by dividing the numerator (1) by the denominator (4), which is 0.25.

Step 2: Multiply the decimal equivalent of ¼ (0.25) by the amount saved by Abebe ($23).

Step 3: Perform the calculation: 0.25 × $23 = $5.75.

Therefore, Abebe's mom will give him $5.75.

Final answer:

Abebe's mom will give him 19% of $23, which is calculated by multiplying 0.19 by $23, resulting in $4.37.

Explanation:

The subject of the question is Mathematics, specifically it deals with a percentage problem that involves finding what fraction of an amount will be added to it. To find out how much money Abebe's mom will give him based on the extra 19% of whatever he saves, we simply need to calculate 19% of $23. The calculation is as follows:

Convert the percentage to a decimal: 19% = 0.19.

Multiply this decimal by the amount saved: 0.19 × $23 = $4.37.

Therefore, Abebe's mom will give him an additional $4.37.

Answer:

49.8 grams.

Step-by-step explanation:

We have been given that 33.2 g of sugar is needed to make 4 cakes.

First of all, we will find quantity of sugar needed to make one cake as:

[tex]\text{Sugar needed to make one cake}=\frac{33.2\text{ gm}}{4}[/tex]

[tex]\text{Sugar needed to make one cake}=8.3\text{ gm}[/tex]

To find quantity of sugar needed to make 6 cakes, we will multiply 6 by 8.3 grams.

[tex]\text{Sugar needed to make 6 cakes}=6\times 8.3\text{ gm}[/tex]

[tex]\text{Sugar needed to make 6 cakes}=49.8\text{ gm}[/tex]

Therefore, 49.8 grams of sugar is needed for 6 cakes.

The average rate of change in the number of bacteria between Hour 2 and Hour 5 is approximately -3,482 bacteria/hour.

To find the average rate of change in the number of bacteria between Hour 2 and Hour 5, we need to calculate the difference in the number of bacteria at Hour 5 and Hour 2, and then divide it by the difference in time (3 hours).

At Hour 2, substitute x = 2 into the function f(x) = 40,000(0.75)^x:

f(2) = 40,000(0.75)^2 = 40,000(0.5625) = 22,500 bacteria.

At Hour 5, substitute x = 5 into the function:

f(5) = 40,000(0.75)^5 = 40,000(0.3164) = 12,656 bacteria.

Now we can calculate the average rate of change:

Average rate of change = (f(5) - f(2)) / (5 - 2) = (12,656 - 22,500) / 3 = -3,482 bacteria/hour. The average rate of change in the number of bacteria between Hour 2 and Hour 5 is approximately -3,482 bacteria/hour.

Answer:

11) 11x-10

x=10

Step-by-step explanation:

SPEED RUN

Since Tia kayaked 2400 meters at a constant rate in 1.5 hours on Saturday. On Sunday, she kayaked 200 meters per hour faster. Tia’s average rate on Sunday is B. 1800 meters per hour

Average rate is the change of quantity with time.

Since Tia kayaked 2400 meters at a constant rate in 1.5 hours on Saturday. On Sunday, she kayaked 200 meters per hour faster. To find Tia’s average rate on Sunday, we proceed as follows

To find Tia's average rate on Sunday, we first need to find Tia's average rate or speed on Saturday.

Tia's speed on Saturday, s = d/t where

Since

Substituting the values of the variables into the equation, we have that

s = d/t

= 2400 m/1.5 h

= 1600 m/h

Sine Tia kayaked 200 meters per hour faster on Sunday, Tia's average rate or speed on Sunday is s' = 1600 meters per hour + 200 meters per hour = 1800 meters per hour

So, Tia’s average rate on Sunday is  B. 1800 meters per hour

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Tia's average rate on Sunday was 1800 meters per hour, as she kayaked at a speed that was 200 meters per hour faster than her speed on Saturday which was 1600 meters per hour.

To calculate Tia's average rate on Sunday, we first need to find her speed on Saturday. Given that she kayaked 2400 meters in 1.5 hours, we can apply the formula speed = distance/time to find that her speed on Saturday was 1600 meters per hour (2400m/1.5h = 1600 m/h). On Sunday, Tia kayaked 200 meters per hour faster than her Saturday's speed, making her average rate on Sunday 1800 meters per hour (1600 m/h + 200 m/h).

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The equation that describes the function is f(x) = -x + 1

The table represents a linear function. Therefore, let's use slope formula to

write the equation;

where

m = slope

b = y-intercept

m = -2 - 0 / 3 - 1 = - 2 / 2 = -1

y = -x + b

let's find b using (1, 0)

0 = -1 + b

b = 1

Therefore,

y = -x + 1

The function can be written as f(x) = -x + 1

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Final answer:

The astronomer calculates the diameter of the Sun using trigonometry and the given angle and distance, arriving at an approximate value of 1,727,804 miles which is a reasonable estimate when compared to the actual diameter of the Sun.

Explanation:

To calculate the diameter of the Sun, the astronomer uses the given angular size and the distance from the Earth to the Sun. Since we have the angle of 32 minutes (which is about 0.533° when converted to degrees), we can set up the following relationship using trigonometry:

diameter of the Sun = 2 × (distance to the Sun) × tan(½ × angular size in radians)

Let's convert the angular size from minutes to degrees and then to radians:

32 minutes = 32' / 60 = 0.533°

To convert degrees to radians, we use the fact that 180° is equivalent to π radians:

0.533° × (π radians / 180°) = 0.0093 radians

Now, we can use the distance to the Sun which is given as 92,919,800 miles and apply the formula:

diameter of the Sun = 2 × 92,919,800 miles × tan(0.0093 radians)

Performing the calculation:

diameter of the Sun ≈ 2 × 92,919,800 × 0.0093

diameter of the Sun ≈ 1,727,804 miles

This is an approximation because the angular size varies slightly due to the elliptical orbit of Earth. Comparing to the actual diameter of the Sun, which is about 1.39 million kilometers (or about 864,000 miles), we can see that our calculated value is a reasonable estimate, keeping in mind that trigonometric calculations rely on a circular orbit assumption and ideal conditions.

Answer:

The answer is 2 actually, this is a fraction question.

Step-by-step explanation:

When we subtract 125−(−35)  the result will be 160.

Two or more expressions with an Equal sign is called as Equation.

The given expression is 125−(−35)

Subtraction is an operation that represents removal of objects from a collection.

Minus is the operator of subtraction.

One hundred twenty five minus of minus thirty five.

We know that when minus is multiplied with minus operator the result will be positive.

So 125+35

When one hundred twenty five is added with thirty five the result will be one hundred sixty

160

Hence, when we subtract 125−(−35)  the result will be 160.

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The statement (x – y)z = xz – yz is always true due to the distributive property in mathematics. Moreover, an algebraic expression in the simplest form does have like terms. Like terms are grouped together to simplify the expression.

For every real number x, y, and z, the statement (x – y)z = xz – yz is always true. This is an illustration of the distributive property in mathematics, which states that for all real numbers, the equation a(b + c) = ab + ac holds true. In the given equation, the place of 'a' is taken by 'z', while 'x' and 'y' replace 'b' and 'c' respectively.

On the other hand, an algebraic expression in simplest form does have like terms. Like terms are terms with the same variable part. For instance, in the expression 3x2 + 2x - x2 + 4 +5x - 2, the like terms can be combined to simplify the expression to 2x2 + 7x + 2.

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