Thayne's credit card bill is $766.85. This includes his charges and interest. If the new charges are $559.45 more than the interest, find the amount in charges and the amount in interest.

Answer:

1) View image attached

2) -3, -2.5, -1, 2, 5

3) -2.5

Step-by-step explanation:

1) Draw a number line, an image is shown below with the number line. You then put "points" on the values that you are plotting. This is also shown in the image attached.

2) The ones with the "-" are negative, meaning that they are below 0. These will always be smaller than those without a "-" sign. In addition to this, the way negative numbers work in terms of least to greatest is completely flipped. For example, -5 is greater than -10, and -10 is less than -5. If the numbers were positive, 5 would be less than 10 and 10 would be greater than 5.

3) The value that isn't an integer is the one that isn't a whole number. In those answer choices you gave, the only one with a decimal is -2.5 (as indicated by the ".5"

The table that shows the correct t and d values is

Distance Covered (m)           Time Taken (hr)

8                                               6

32                                              15

The table of values is given as:

Distance Covered (m)           Time Taken (hr)

8                                               6

16                                              12

32                                              15

48                                              18

The distance covered in 15 hours is 32 m and the time taken to cover 8 m is 6 hours

When these values are extracted, we have:

Distance Covered (m)           Time Taken (hr)

8                                               6

32                                              15

The above represents the table that shows the correct t and d values

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Answer:

U= 2i - 1i and V= 3i + ji

Step-by-step explanation:

I hope that is the correct answer

Answer:

15

Step-by-step explanation:

simply divide 180 by 12

if it had a numerator greater than one there would be more steps

D is the correct answer!

Hope this helped with the question you were looking for. Lmk on this problem if you need any help with any other questions!

The expression that can represent the length and the width are 2x - 3 and x + 2 respectively.

where

l = length

w = width

Therefore,

area = 2x² + x – 6

Let's factorise

2x²- 3x + 4x - 6

x(2x - 3) + 2(2x - 3)

Therefore,

(x + 2)(2x - 3)

Therefore, the expression that can represent the length and the width are 2x - 3 and x + 2 respectively.

learn more on rectangle here: https://brainly.com/question/2605457

Answer:

[tex]7 + (-8)[/tex]

Step-by-step explanation:

Given

[tex]7 - 8[/tex]

(a): Write as additive inverse.

An additive inverse is of the form a + (-b)

In this case:

[tex]a = 7[/tex]

[tex]b = -8[/tex]

So, the expression can be represented as:

[tex]7 + (-8)[/tex]

(b): Number line representation

When the expression in (a) is solved.

The result is:

[tex]7 - 8 = 7 + (-8) = -1[/tex]

This means that the number line must accommodate 7 and -1.

Having said that, options (b) and (c) are out because their range is 0 to 15 and this excludes -1.

Option (d) is a wrong representation of [tex]7 - 8[/tex]

Hence, (a) is correct

Answer:

960 calories for the 64 oz jug

Step-by-step explanation:

6 oz for 90 calories.

64 oz for ??? calories.

It's a ratio, 6:90

and            64:???

so  6 * 10 2/3 is 64.

so 90 * 10 2/3 is ???

960 is ???

Answer:

I believe that would look like this

64 x 90 / 6 = 960 calories

Answer:

1 [tex]\frac{1}{2}[/tex] miles

Step-by-step explanation:

Convert 3 [tex]\frac{3}{4}[/tex] and 2 [tex]\frac{1}{2}[/tex] into improper fractions

Subtract them like a regualr equation

[tex]\frac{15}{4}[/tex] - [tex]\frac{9}{4}[/tex] = [tex]\frac{6}{4}[/tex]

Convert  [tex]\frac{6}{4}[/tex] into a mixed number to get 1 [tex]\frac{1}{2}[/tex]

Answer:

21x^4+56x^3+49x^2

Step-by-step explanation:

You need to multiply 7x^2 to each side (aka 7x^2*3x^2) and once you have each multiple you will add them all together. <3

Answer:

what grade  so i can help

Step-by-step explanation:

Answer:

7.45

Step-by-step explanation:

BECAUSE .745 IS ONE PLACE VALUE LOWER

CAN I HAVE BRAINLIEST PLEASE

Answer:

5.50=2+0.50x

Step-by-step explanation:

Answer:

 The decision rule is  

Fail to reject the null hypothesis

  The conclusion is

 There is no sufficient evidence to conclude that older people are slower

Step-by-step explanation:

From the question we are told that  

    The average time taken is  [tex]\mu = 2.5 \ seconds[/tex]

      The  sample size is  [tex]n = 30[/tex]

     The sample mean is  [tex]\= x = 2.7 \ seconds[/tex]

      The standard deviation is  [tex]\sigma = 1.4 \ seconds[/tex]

The null hypothesis is  [tex]H_o: \mu = 2.5[/tex]

The alternative hypothesis  is  [tex]H_a : \mu > 2.5 \ seconds[/tex]

Generally the test statistics is mathematically represented as

                [tex]z = \frac{\= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]

=>              [tex]z = \frac{ 2.7 -2.5 }{ \frac{1.4}{ \sqrt{30} } }[/tex]

=>              [tex]z = 0.7825[/tex]

From the z table  the area under the normal curve to the right corresponding to  0.7825   is  

                [tex]p-value = P(Z > 0.7825 ) = 0.21696[/tex]

So from the question we see that the [tex]p-value > \alpha[/tex] hence

 The decision rule is  

Fail to reject the null hypothesis

  The conclusion is

 There is no sufficient evidence to conclude that older people are slower

Answer:

A

Step-by-step explanation:

=(2(3x+4)(x−1))(x+−3)

=(2(3x+4)(x−1))(x)+(2(3x+4)(x−1))(−3)

=6x3+2x2−8x−18x2−6x+24

=6x3−16x2−14x+24

After solving the given expression, the equivalent expression will be equal to 6x³ - 16x² - 14x + 24.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given expression in the question,

2(3x+4) (x−1) (x−3)

(6x + 8) (x² -3x - x + 3)

6x³ - 18x² - 6x² + 18x + 8x² - 24x - 8x + 24

Now, collect similar terms and add them,

6x³ - 16x² - 14x + 24

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Answer:

3

Step-by-step explanation:

1. 54÷6 =9

2. (12-4)=8

3. 9-8 = 1

4. 1+2 = 3

5. I hope this helps it's pretty simple oh and 3 is your anansw.Also you can you your calculator

Answer:

a=72[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

56/6*(12-4)+2=n

56/6*8+2-2=n-2

56/6*8/8=(n-2)/8

x=9[tex]\frac{1}{3}[/tex]

x=(n-2)/8

y=74[tex]\frac{2}{3}[/tex]

y=n-2=a

a=72[tex]\frac{2}{3}[/tex]

Answer as a fraction:  17/6

Answer in decimal form: 2.8333  (approximate)

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

Work Shown:

Let's use the two black points to determine the equation of the red f(x) line.

Use the slope formula to get...

m = slope

m = (y2-y1)/(x2-x1)

m = (4-0.5)/(2-(-1))

m = (4-0.5)/(2+1)

m = 3.5/3

m = 35/30

m = (5*7)/(5*6)

m = 7/6

Now use the point slope form

y - y1 = m(x - x1)

y - 0.5 = (7/6)(x - (-1))

y - 0.5 = (7/6)(x + 1)

y - 0.5 = (7/6)x + 7/6

y = (7/6)x + 7/6 + 0.5

y = (7/6)x + 7/6 + 1/2

y = (7/6)x + 7/6 + 3/6

y = (7/6)x + 10/6

y = (7/6)x + 5/3

So,

f(x) = (7/6)x + 5/3

We'll use this later.

---------------------

We ultimately want to compute f(g(0))

Let's find g(0) first.

g(0) = 1 since the point (0,1) is on the g(x) graph

We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.

We now use the f(x) function we computed earlier

f(x) = (7/6)x + 5/3

f(1) = (7/6)(1) + 5/3

f(1) = 7/6 + 5/3

f(1) = 7/6 + 10/6

f(1) = 17/6

f(1) = 2.8333 (approximate)

This ultimately means,

f(g(0)) = 17/6 as a fraction

f(g(0)) = 2.8333 as a decimal approximation

Answer:

48,410$ in 2021

Step-by-step explanation:

3% of 47,000 is 1,410

add the 3% increase to 47,000 to get 48,410$

Answer:

[tex]48[/tex],[tex]410[/tex]

Step-by-step explanation:

__________________________________________________________

[tex]47[/tex],[tex]000[/tex] [tex]in[/tex] [tex]2020[/tex]

[tex]48[/tex],[tex]410[/tex] [tex]in[/tex] [tex]2021[/tex]

__________________________________________________________

[tex]This[/tex] [tex]is[/tex] [tex]because[/tex] [tex]3[/tex]% [tex]of[/tex] [tex]47[/tex],[tex]000[/tex] [tex]is[/tex] [tex]1[/tex],[tex]410[/tex]

[tex]47[/tex],[tex]000[/tex] + [tex]1[/tex],[tex]410[/tex] = [tex]48[/tex],[tex]410[/tex]

__________________________________________________________

Hope this helps! <3

__________________________________________________________

Answer:

iacbsc kakwc s s k kd sdidv d lm vdfj

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I found out bc I got the answer wrong then it gave me the right answer which is A:)

Answer:

The answer is C

Step-by-step explanation:

70 miles            1 hour                   70mh

_______ x    ________       =     _______   = 1.17min

1  hour            60 mh                       60mh

Answer:

[tex]\displaystyle y=-\frac{3}{5}x+2[/tex]

Step-by-step explanation:

We want to wite the equation of a line that is parallel to:

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

And passes through the point (-5, 5).

First, remember that parallel lines have the same slope.

Therefore, since the slope of the original line is -3/5, the slope of our new line is also -3/5.

Now, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, we will substitute -3/5 for m and (-5, 5) for (x₁, y₁). This yields:

[tex]\displaystyle y-5=-\frac{3}{5}(x-(-5))[/tex]

Simplify:

[tex]\displaystyle y-5=-\frac{3}{5}(x+5)[/tex]

Distribute:

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

Add 5 to both sides. Hence, our equation is:

[tex]\displaystyle y=-\frac{3}{5}x+2[/tex]

Answer:

337.41366

Step-by-step explanation:

Given that:

Mean = 331 grams

Standard deviation = 23 grams

Sample size (n) = 15

P(Z < x) = 14% = 0.14

Obtain the Zscore corresponding to (1 - 0.14) = 0.86

P(z < 0.86) = 1.08

Zscore = 1.08

Zscore = (x - mean) / s/√n

1.08 = (x - 331) / 23/sqrt(15)

1.08 = (x - 331) / 5.9385744

X - 331 = 6.4136604

X = 6.4136604 + 331

X = 337.41366

Answer:

The surface area is 972 square cm

Step-by-step explanation:

Numeric Value of Functions

Given the function:

A = 252 + 4sh

Where A is the surface area of a square prism , s is edge length of the base  h is the height.

A square prism has a base with edges s=12 cm long and height of h=15 cm.

Substituting these values, we get:

A = 252 + 4(12)(15)

A = 252 + 720 = 972

A = 972

The surface area is 972 square cm

The surface area of the square prism is 1008 cm².

Surface area of a square prism:

where

s = edge side

h = height

Therefore,

s = 12 cm

h = 15 cm

surface area = 2 × 12² + 4 × 12 × 15

surface area = 2 × 144 + 48 × 15

surface area = 288 + 720

surface area = 1008

surface area = 1008 cm²

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Answer:

y = -2x + 7

Step-by-step explanation:

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

Suppose we know the line passes through 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]

We are given the point (3,1) and (7,-7), calculate the slope:

[tex]\displaystyle m=\frac{-7-1}{7-3}[/tex]

[tex]\displaystyle m=\frac{-8}{4}=-2[/tex]

m = -2

No w we use any of the given points: (3,1) and substitute in the equation of the line:

y - 1 = -2 ( x - 3 )

Multiplying:

y - 1 = -2x + 6

Adding 1:

y = -2x + 7

okay, first to figure out the IQR of the table you need to organize them from least to greatest.

2.43, 6.14, 6.47, 7.19, 8.38, 8.63

to find the middle number of all of these you add them all together and divide by 6, which is the total amount of numbers there.

2.43 + 6.14 + 6.47 + 7.19 + 8.38 + 8.63 = 39.24

39.24 / 6 = 6.54

now that we have the IQR, next we find the outlier. to find the outlier you multiply the IQR by 1.5 which is 6.54 x 1.5 = 9.81 <- outlier

Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data.

2.43 + 6.14 + 6.47 + 7.19 + 8.38 + 8.63 + 9.81 = 49.05

49.05 / 7 = 7.00 (Rounded)

I tried my best to solve this, sorry if it doesn't help.

Answer:

1.66 is the answer. 166% whole be a whole 1, plus .66