On Monday, Allison’s bank account showed $0. She made 5 transactions that were all the same amount between Monday and Friday. If her bank account showed -$120 on Friday, what was the amount of each transaction?

Answer:

Step-by-step explanation:

she can type 22 words in 1 minute and it takes her .045 seconds to type 1 word

she can type 110 words in 5 minutes and 220 words in 10 minutes.

Answer:

- 1/2

Step-by-step explanation:

Just took the test

The value of cot (b) using trigonometry is -1/2 when tan b = -2.

Since we are given that tan(b) = -2 and the terminal side of angle b is in quadrant II, determine the value of cot(b).

In quadrant II, the sine and cosine values are positive, while the tangent and cotangent values are negative.

Given:

tan(b) = -2

The cotangent (cot) of an angle is the reciprocal of the tangent:

cot(b) = 1 / tan(b)

Now, substituting the given value of tan(b):

cot(b) = 1 / (-2)

cot(b) = -1/2

So, the value of cot(b) is -1/2.

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Answer:

29.2 divided by 4.9 = 6.0

Step-by-step explanation:

29.2 divided by 4.9 = 5.95918367

5.95918367 → 6.0

Key:

→ = rounded to the nearest tenth

Answer:

29 ÷ 5 the estimated quotient is 5 4/5

Step-by-step explanation:

I took the test (;

Answer:

[tex]300\; \rm lb[/tex].

Step-by-step explanation:

Let [tex]x[/tex] represent the mass (in pounds) of that [tex]15\%[/tex] copper alloy required, such that the final mixture would contain [tex]25.5\%[/tex] copper by mass.

Consider: if [tex]x[/tex] pounds of that [tex]15\%[/tex] copper alloy is mixed with [tex]700[/tex] pounds that [tex]30\%[/tex] copper alloy, what would be the mass of copper in the mixture?

Therefore, the mixture would contain [tex](210 + 0.15\, x) \; \rm lb[/tex] of copper.

The mass of that mixture would be [tex](700 + x)\; \rm lb[/tex]. The mass fraction of copper in that mixture would be:

[tex]\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\%[/tex].

This ratio is supposed to be equal to [tex]25.5\%[/tex]. These two pieces of equations combine to give an equation about [tex]x[/tex]:

[tex]\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\% = 25.5\%[/tex].

[tex]\displaystyle \frac{210 + 0.15\, x}{700 + x} = 0.255[/tex].

Simplify and solve for [tex]x[/tex]:

[tex]210 + 0.15\, x= 0.255\, (700 + x)[/tex].

[tex](0.255 - 0.15)\, x= 210 - 0.255 \times 700[/tex].

[tex]\displaystyle x = \frac{210 - 0.255 \times 700}{0.255 - 0.15} = 300[/tex].

Therefore, [tex]300\; \rm lb[/tex] of that [tex]15\%[/tex] alloy would be required.

Complete Question

The complete question is  shown on the first uploaded image

Answer:

Option A is correct

Step-by-step explanation:

From the question we are told that  

  The  95% confidence interval of the mean  score of all  New Jersey third graders  is  (58.957 ,  63.043)

   The sample size is  n =  184

   The sample average is  [tex]\mu = 65 \ points[/tex]

   The standard deviation is   [tex]\sigma  =  13 \ points[/tex]

    The  90%  confidence interval for the difference in mean score between lowa and New Jersey is  (-6.33 ,  -1.67 )

   The  p-value is  [tex]p-value  =  0.0048[/tex]

Generally given that the p-values is very low compared to the level of significance (100 -90 =  10% = 0.10 )  we can reject the null hypothesis which is usually a  claim that the means of the  population are the same )

Hence the population means are different .

Answer:

9%

Step-by-step explanation:15% of 60 is 9%

Answer:

25%

Step-by-step explanation:

b = 3

Step-by-step explanation:

[tex]4b - 3b + 7 = 10[/tex]

Add similar terms :

[tex]4b - 3b = b \\ b + 7 = 10[/tex]

Collect like terms and simplify

[tex]b = 10 - 7 \\ b = 3[/tex]

Answer:

b=3 if i did it correctly. i apologize if it's wrong.

Answer:

;)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

Step-by-step explanation:

yes yes do the ;))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

Answer:

c

Step-by-step explanation:

Answer:

C. 24:56

Step-by-step explanation:

3/7 * 8/8

3*8 = 24

7*8 = 56

24/56

Answer:

30 adult tickets and 50 child tickets

Step-by-step explanation:

605 = 8.5a + 7c

80 = a + c

620 = (8.5*40) + (7*40)

605 = (8.5*30) + (7*50)

a = 30  c = 50

The required expression for the Digo earning is y = 10x and the graph of the expression is shown.

Given that,
Diego earns $10 per hour babysitting. Assume that he has no money saved

before he starts babysitting and plans to save all of his earnings.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Let the hours of babysitting be x,
According to the question,
Hourly rate is $10 for x hour the total charge is,
y = 10x

Thus, the required expression for the Digo earning is y = 10x and the graph of the expression is shown.

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Given parameters:

We have two shapes, the rectangle and semi circle;

   The problem is to find the perimeter of the shape given

The perimeter of a body is the total length of the body.

 Here, it is the sum of the perimeter of the rectangle and semi-circle.

Note, to remove repetition, we to deduct 6 which is a common point to both of them.

Perimeter of a semi-circle = Circumference of semi- circle

                                            = πr² x [tex]\frac{1}{2}[/tex]

         The diameter here is 6 and radius is 3;

        Circumference of semi-circle = π x 3² x [tex]\frac{1}{2}[/tex]  = 14.14

Perimeter of rectangle = 2(6+8) = 28

The perimeter of the figure = 14.14 + 28 - 6 = 36.1

The perimeter of the figure is 36.1

Answer:-8,-9

Step-by-step explanation:

Answer:

1) y = 2x-2

2) y = -6/5+1

Step-by-step explanation:

Answer:

It would be -[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Use the slope formula to find the slope  m.

Answer:

1000 is the answer that you are looking for

hope this helps\

Answer:

x=-14

Step-by-step explanation:

The x-intercept of a line is the value of x that makes y=0.

A line can be expressed in its slope-intercept form:

y=mx+b

Once determined the equation of the line, the x-intercept can be calculated by setting y=0 and solving for x.

Let's find the slope of the line.

Suppose we know the line passes through two points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let's pick the first two points of the table (-94,24) (-74,18). The slope is:

[tex]\displaystyle m=\frac{18-24}{-74+94}=\frac{-6}{20}=-\frac{3}{10}[/tex]

The equation of the line is:

[tex]\displaystyle y=-\frac{3}{10}x+b[/tex]

Now use one of the points to find b, for example (-94,24):

[tex]\displaystyle 24=-\frac{3}{10}\cdot (-94)+b[/tex]

Operating:

[tex]\displaystyle 24=\frac{141}{5}+b[/tex]

Solving:

[tex]b=24-\frac{141}{5}=-\frac{21}{5}[/tex]

The complete equation of the line is:

[tex]\displaystyle y=-\frac{3}{10}x-\frac{21}{5}[/tex]

To find the x-incercept, set y=0 and solve:

[tex]\displaystyle 0=-\frac{3}{10}x-\frac{21}{5}[/tex]

[tex]\displaystyle x=\frac{\frac{21}{5}}{-\frac{3}{10}}=-\frac{21}{5}\cdot \frac{10}{3}[/tex]

x=-14

Answer:

120

Step-by-step explanation:

I wrote down the equation on paper and solved it

The product of the given numbers is 120.

The given expression is 1×2×3×4×5.

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

Here, 1×2×3×4×5 = 120

Therefore, the product of the given numbers is 120.

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Answer:

x=m/z

Step-by-step explanation:

Answer:

58464

Step-by-step explanation:

Multiply the two numbers

Answer:

If Steve drives for 812 hours at 72 miles per hour, he drives 58,464 miles in total.(Side Note: if you mean 8 1/2 hours then it's 612 miles

Step-by-step explanation:

To find distance dealing with time and speed, we can use the formula d=rt.

D= Distance

R= Speed

T= Time

Now we plug in our values! D=72 × 812 and we get D= 58,464 miles or if you meant 8 1/2 hours, then it's 612 miles

Hope this helps! :)

Answer:

I think it its 0 its called the additive identity because when you add it to a number, the result you get is the same number.

Step-by-step explanation:

For example, 5 + 0 = 5 Any two numbers whose sum is zero, such as 3 and -4, because 3 + (-3) = 0.

Answer:

40

Step-by-step explanation:

If there are two numbers and you're trying to find the other one, you can subtract 64 and 24, you would get 40

Check; 40 + 24 = 64

Answer:

Step-by-step explanation:

N=503

P=0.7

Sqrt(503×0.7(1-0.7))=10.28

The standard deviation, for the binomial distribution, is 10.28 which has the stated values of n and p; n =503: p=0.7.

It is defined as the measure of data disbursement, It gives an idea about how much the data is spread out.

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

We have:

The value of n = 503

The value of p = 0.7

For the binomial distribution:

As we know,

The formula for the standard deviation:

σ = √[p(1 - p)n]

Plug the values of p, and n, we get:

σ = √[0.7(1 - 0.7)503]

σ = √[0.7(0.3)503]

σ = √[0.21x503]

σ = √[105.63]

σ = 10.277 ≈ 10.28

Thus, the standard deviation, for the binomial distribution is 10.28 which has the stated values of n and p; n =503: p=0.7.

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Triangle ABC is rotated 180 degrees around point E, therefore, A maps to D, B maps to C, and C maps to B.

===================================================

Explanation:

If you were to rotate triangle ABC 180 degrees around point E, then it would line up perfectly with triangle DCB

Note how in the sequence ABC we have A first, B second, then C third

Then for the sequence DCB we have D first, C second, then B third

This order matters so we can pair up the points properly

Answer:

x = 4 into the equation y = 3x, or locate the answer on the graph: y = 3x = 3(4) = 12.

The spring stretches 12 inches with a 4-kilogram weight attached to it.

Step-by-step explanation: so its 12

Substitute x = 4 into the equation y = 3x, or locate the answer on the graph: y = 3x = 3(4) = 12.

The spring stretches 12 inches with a 4-kilogram weight attached to it.

Answer:

34

Step-by-step explanation:

Step 1:

4 + 3x = 106        Equation

Step 2:

3x = 102      Subtract 4 on both sides

Step 3:

x = 102 ÷ 3     Divide

Answer:

x = 34

Hope This Helps :)

Answer:

-5

Step-by-step explanation:

-4x +10 =5(x +11)

-4x +10 =5x +55

-4x - 5x =55 - 10

-9x =45

x=-45 :9

x=-5

Answer:

283-284

The real answer is like 283.906

Answer:

Proportional Relationship: I  Not a Proportional Relationship:

y=1.6x                                  I   y=3/(4x)

y=x                                      I   y=2x+1

y=12x .                                 I   y=3+x

Explanation:

I took the test and that's how i got these answers.