Find the area of the figure. (Sides meet at right angles.)

Answer: $52 is your new balance

Step-by-step explanation: -12+60=52

Answer:

[tex]\dfrac{7}{8} \textsf{ and } -\dfrac{5}{8}[/tex]

Step-by-step explanation:

To find numbers that are [tex]\dfrac{3}{4}[/tex] units distance from [tex]\displaystyle \dfrac{1}{8}[/tex] , add and subtract [tex]\dfrac{3}{4}[/tex] to and from [tex]\displaystyle \dfrac{1}{8}[/tex]

One of the points is at [tex]\displaystyle \dfrac{1}{8} + \dfrac{3}{4}[/tex] units away and the other at [tex]\displaystyle \dfrac{1}{8} - \dfrac{3}{4}[/tex] units away

Answer:

y=-7/2

Step-by-step explanation:

1=|8-2y|

1=8+2y

-7=2y

2y=-7

y=-7/2

Step-by-step explanation:

The absolute value of x is g(x)=f(x)+k.

The gross income will be $5,800.

It is given that per month salary of an individual is $4000 and from a side job he makes $20 per hour for 10 hours a week for 4 weeks and rent he got is $1000.

We have to calculate the gross income.

What do you mean by gross income ?

Gross income refers to the total income of a person or business from all resources.

As per the question ;

Per month salary = $4000

Earning from side job is given $20 per hour for 10 hours a week for 4 weeks.

i.e.,

= 20 × 10 × 4

= $800 for 4 week

and

the rent they receive = $1000

So ;

The gross income will be ;

= 4000 + 800 + 1000

= $5,800

Thus , the gross income will be $5,800.

To learn more about algebra click here ;

https://brainly.ph/question/26330059

#SPJ2

Answer: x=2

Step-by-step explanation:

x=z/4+7

x=z/4+3+4

x=(z/4+3)+4

x=-2+4

x=2

The coordinate of the pointed that represented the weighted average of A and B is: 1

Note that X = [x1w1 + x2w2 +.......xnwn]/w1+w2 +....wn

Where x is the numbers and w is the weight.

Given,

A = - 4  : Weight = 2

B= 3    : Weight = 5

Hence, average is given as;

([-4 x 2] + [3 x 5])/2+5

= (-8 + 15)/7

= 7/7

= 1

Learn more about coordinates:
https://brainly.com/question/11337174
#SPJ1

Answer:

The length should equal 27.

The width should equal 13.

A: P= 2L+ 2W

B: L=2W+1

Step-by-step explanation:

Perimeter is always equal to all of the sides added up.

You can find out the width and length by subsititution.

80=2(2W+1) +2W

80=4W+2+2W

80=6W+2

78=6W

W=13

L=(13*2)+1

L=27

Answer: B. 24

Step-by-step explanation:



Answer: 18.25

Step-by-step explanation:

5.5*4=22

401.5/22=18.25

Answer:

$18.25

Step-by-step explanation:

Since area is given as A=LW, and we are given the values of the dimensions of the floor, we get:

5.5×4=22

So, the area is 22 yards, and it costs $401.5 to carpet it. Now, We simply need to divide the cost by the area to get the "cost per-square yard" as needed in the question. We get:

401÷22=18.25

So, the cost of the carpet per square yard is $18.25

Answer:

Flying Disc should be 72

Step-by-step explanation:

circumference = πd

HD Coin    C = 3π

                  9.42477796077

Flying Disc.  C = 23π
                      72.2566310326

Jar Lid      C = 8π

                  25.1327412287

Flower Pot     C = 15π

                        47.1238898038

Answer: v=M^3

Step-by-step explanation:

set, in mathematics and logic, any collection of objects (elements), which may be mathematical (e.g., numbers and functions) or not. A set is commonly represented as a list of all its members enclosed in braces. The intuitive idea of a set is probably even older than that of number.

Let C=15, 16, 17, 18, and 19) and U=x | x is a full number and 0 x 19). Use the listing technique to write U U C.

UUC=

D U E = { 16, 18, 19, 20, 21 }

U stands for the union of sets.

We combine all of the components from the two groups.

16, 19, 21, and 16, 18, 19, 20 are the elements in sets D and E, respectively.

Therefore, we combine all of their components. The shared components of both sets are written just once.

As a result, there are 16, 18, 19, 20, and 21 elements in the set D U E.

To learn more about set Visit : https://brainly.com/question/13651950

#SPJ9

Answer:

The slope would be [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Answer:

-4/-5

Step-by-step explanation:

Remember the formula to slope:

(y2 - y1)/(x2-x1) given two points on the line that are (x1, y1) and (x2, y2).

The two points given on this line are: (2,2) from the top left and (-3,-2) from the bottom left. Let's say (2,2) = (x1, y1) and (-3,-2) = (x2, y2). Plug the points into the formula:

(-2 - 2)/(-3-2) = -4/-5

FINAL ANSWER: -4/-5

According to the image, the figure moved four times to return to its initial position.

The starting position of the figure is in the lower left corner of the frame.

The movement made by the figure from position 1 to position 2 is that it moves from the lower left corner to the lower right corner.

The movement made by the figure from position 2 to position 3 is that it moves from the lower right corner to the upper right corner. Additionally, the figure rotates to the left 180°.

The movement that the figure performs from position 3 to position 4 is that it moves from the upper right corner to the upper left corner.

The movement made by the figure from position 4 to position 5 is that it moves from the upper left corner to the lower left corner. Additionally, the figure is rotated 180° to the left again.

Learn more about geometric figures in: https://brainly.com/question/2778048

#SPJ1

Answer:

5 days.

Step-by-step explanation:

The food will last her 5 days.
[tex]3\frac{1}{2}-\frac{5}{8}-\frac{5}{8}-\frac{5}{8}-\frac{5}{8}-\frac{5}{8}[/tex]
[tex]=1\frac{5}{8}-\frac{5}{8}-\frac{5}{8}[/tex]
[tex]=1-\frac{5}{8}[/tex][tex]=\frac{3}{8}[/tex]

Answer:

  E.  a^(1/3)b^(1/6)

Step-by-step explanation:

You want an expression equivalent to (a^(2/3)b^(1/3))^(1/2).

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

The given expression simplifies to ...

  [tex](a^{2/3}b^{1/3})^{1/2}=a^{(2/3)(1/2)}b^{(1/3)(1/2)}=\boxed{a^{1/3}b^{1/6}}[/tex]

Answer: 77 yd^2

Step-by-step explanation:

S=Area of Square. s=side length of square. w=width of rectangle

l=length of rectangle. R=Area of Rectangle

S=s^2

S=7^2

S=49 yd^2

R=l*w

R=9*14

R=126 yd^2

R-S=

126-49=77 yd^2

Answer:

12

Step-by-step explanation:

3*4 = 12

12/6 = whole number

6/4 is not a whole number

12 is the lowest it could be.

Also those kids have issues.

1) a + b = ?

→ (9i − 4j + 3k) + (6i − 9k)

→ 15i - 4j - 6k

2) 9a + 3b = ?

→ 9(9i − 4j + 3k) + 3(6i − 9k)

→ (81i - 36j + 27k) + (18i - 27k)

→ 99i - 36j

3) |a| = ?

→ |9i − 4j + 3k|

→ 9i + 4j + 3k

4) |a − b| = ?

→ |(9i − 4j + 3k) - (6i − 9k)|

→ |3i - 4j + 12k|

→ 3i + 4j + 12k

Answer:

[tex]a+b=15i-4j-6k[/tex]

[tex]9a+3b=99i-36j[/tex]

[tex]|a| = 9i+4j+3k[/tex]

[tex]|a-b| = 3i+4j+12k[/tex]

Step-by-step explanation:

Given:

[tex]\begin{cases}a = 9i-4j+3k\\b=6i-9k\end{cases}[/tex]

[tex]\begin{aligned}a+b & = (9i-4j+3k)+(6i-9k)\\& = 9i-4j+3k+6i-9k\\& = 9i+6i-4j+3k-9k\\& = 15i-4j-6k\\\end{aligned}[/tex]

[tex]\begin{aligned}9a+3b & = 9(9i-4j+3k) + 3(6i-9k)\\& = 81i-36j+27k+ 18i-27k\\& = 81i+ 18i-36j+27k-27k\\& = 99i-36j\end{aligned}[/tex]

[tex]\begin{aligned}|a| & = |9i-4j+3k|\\& = 9i+4j+3k\end{aligned}[/tex]

[tex]\begin{aligned}|a-b| & = |(9i-4j+3k)-(6i-9k)|\\& = |9i-4j+3k-6i+9k|\\& = |9i-6i-4j+3k+9k|\\& = |3i-4j+12k|\\& = 3i+4j+12k\end{aligned}[/tex]

The numerical length and width of the rectangular picture are 9in and 12in respectively.

Area of a rectangle is expressed as;

A = length × width

Given the data in the question;

To determine the numerical length and width of the rectangular picture, first plug the given values into the equation and solve for x.

A = length × width

108 = (2x -1)(x+7)

Expand

108 = 2x² + 14x - 1x -7

108 = 2x² + 13x -7

Reorder

2x² + 13x -7 = 108

2x² + 13x - 7 - 108 = 0

2x² + 13x - 115 = 0

Solve by grouping

(x-5)(2x+23) = 0

x-5 = 0, 2x+23 = 0

x = 5, 2x = -23

x = 5, x = -23/2

x = 5, x = -11.5

But the dimension cannot be negative, hence;

x = 5

Next, determine the numerical length and width.

Length = 2x - 1 = 2(5) - 1 = 10 - 1 = 9in

Width = x + 7 = 5 + 7 = 12in

Therefore, the numerical length and width of the rectangular picture are 9in and 12in respectively.

Learn more about area of rectangles here: https://brainly.com/question/27612962

#SPJ1

Answer :  7.5 ft

Step-by-step explanation:

when the length of the shadow is 8ft, the actual height of the man = 5ft

8:5

let the giraffe be 'x' ft tall.

if the length of the shadow is 12ft, actual height = x ft

12:x

8:5 x 12:x

[tex]\frac{8}{5}[/tex] × [tex]\frac{12}{x}[/tex]

x= [tex]\frac{15}{2}[/tex]

x=7.5 ft

Therefore, the giraffe is 7.5ft tall.

Answer:

[tex]7.5\; {\rm ft}[/tex].

Step-by-step explanation:

The height of objects nearby under the sun are approximately proportional to the length of their shadows.

In other words, if the man and the giraffe are near each other and under the sun:

[tex]\begin{aligned} \frac{\text{height of man}}{\text{length of shadow of man}} = \frac{\text{height of giraffe}}{\text{length of shadow of giraffe}}\end{aligned}[/tex].

Given that:

Rearrange the equation to find [tex](\text{height of giraffe})[/tex]:

[tex]\begin{aligned} (\text{height of giraffe}) &= (\text{length of shadow of giraffe})\times \frac{\text{height of man}}{\text{length of shadow of man}} \\ &= 12\; {\rm ft} \times \frac{5\; {\rm ft}}{8\; {\rm ft}} \\ &= 7.5\; {\rm ft}\end{aligned}[/tex].

The error of interval for x will be [12.25, 12.35) for rounding off to 12.3 to 1 decimal place

In the given question, a number supposed to be 'x' is rounded off to the 1 decimal place, so that the number rounded off becomes 12.3. So, it is given that the number x is rounded off to 12.3 by 1 decimal place.

From this, we get that x should be greater than or equal to 12.25 and x should be smaller than 12.35. The equations will be :

     =>  x ≥ 12.25   and x < 12.35

So, the x lies between 12.25 and 12.35 which defines the error of interval for x.

Hence, the error of interval for x will be [12.25, 12.35)

To know more about Error of Interval, Click here :

https://brainly.com/question/17588303

#SPJ1

An equation that relates T to N can be written as T = 750 + 630N.

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

A function can be defined as a mathematical expression which can be used to define and represent the relationship that exist between two or more variables in a population (data set).

Since the total amount saved by using both plans (functions A and B) is represented by T, an equation that relates T to N can be written as follows:

T = A + B

Substituting the given parameters into the formula, we have;

T = (750 + 135N) + 495N

T = 750 + 135N + 495N

T = 750 + 630N.

Read more on function here: https://brainly.com/question/19537858

#SPJ1

Complete Question:

Raina and her husband are each starting a saving plan. Deshaun will initially set aside $750 and then add $135 every month to the savings. The amount A (in dollars) saved this way is given by the function A=750+135N , where N is the number of months he has been saving. Her husband will not set an initial amount aside but will add $495 to the savings every month. The amount B (in dollars) saved using this plan is given by the function B=495N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N.

Simplify your answer as much as possible.

Pedro requires [tex]1\frac{1}{2}[/tex] cups oatmeal for a single batch of granola bars as calculated by division of fractions.

A fraction is a piece of a whole or, to put it more broadly, any number of equal portions.

Total batches required [tex]= 3 \frac{1}{2} = \frac{7}{2} = \frac{14}{4}[/tex] cups

Total oatmeal required [tex]= 5 \frac{1}{4} =\frac{21}{4}[/tex] cups

Therefore now to calculate the amount of oatmeal needed for single

batch we divide the fraction [tex]\frac{21}{4}[/tex]  by  [tex]\frac{14}{4}[/tex] cups

1 batch requires = [tex]=\frac{21}{4}\div\frac{14}{4}=\frac{3}{2} = 1\frac{1}{2}[/tex] cups.

To learn more about fractions visit: https://brainly.com/question/10354322

#SPJ9

Answer:642

Step-by-step explanation:

Look at the book and solve it

The equation of this linear equation is f(x) = 9/7(x - 1) + 2

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The given parameters are

f(−6) = −7, f(1) = 2

Start by calculating the slope (m) using

m = [f(-6) -f(1)]/[-6 - 1]

This gives

m = [-7 - 2]/[-6 - 1]

Evaluate

m = 9/7

The linear equation is then calculated as

f(x) = m(x - x1) + f(1)

So, we have

f(x) = 9/7(x - 1) + 2

Hence, the equation of this linear equation is f(x) = 9/7(x - 1) + 2

Read more about linear equations at

brainly.com/question/14323743

#SPJ1