Which number is farther from 0: -7 or 5

Answer:

PR=8; ST=5

Step-by-step explanation:

Find PR:

PQ=PR

8=2x

x=4

PR=2x=2(4)=8

Find ST:

TU=ST

2z+3=5z

3=3z

z=1

ST=5z=5(1)=5

Answer:

12.28

Step-by-step explanation:

[tex]\sqrt{14}-\sqrt{3} )(\sqrt{12}+\sqrt{7})[/tex]

Multiplying [tex]\sqrt{14} and\sqrt{3}[/tex] individually to the values inside the brackets to find the product of the equation.

[tex]\sqrt{14}\sqrt{12}+\sqrt{14}\sqrt{7}-\sqrt{3}\sqrt{12} -\sqrt{3} \sqrt{7}[/tex]

[tex]\sqrt{168} +\sqrt{98} -\sqrt{36}- \sqrt{21}\\2\sqrt{42}+7\sqrt{2}-6-\sqrt{21}\\ 12.96 +9.90 -6 -4.58\\12.28[/tex]

The product of the above values is 12.28

Answer:

2√42 + 7√2 - √21 - 6

Step-by-step explanation:

(√14-√3)(√12+√7)

First let us expand the expression by doing the following:

√14(√12+√7) -√3(√12+√7)

√168 + √98 - √36 - √21

√(4x42) + √(49x2) - 6 - √21

2√42 + 7√2 - √21 - 6

Answer:

$2,225.54

Step-by-step explanation:

Principal, p = $1000

interest rate r = 16% 0r 0.16

years of deposit, t = 5

Finding ending balance below

Since interest compounded continuously,

Substitute the following values

p = $1000, e = exponent, r = 0.16 and t = 5

B = 1000e^((0.16)(5))

=1000e^(0.8)

=1000 X 2.2255409284924676

=2,225.5409284924676

Which B is approximately $2,225.54

Ending balance =$2,225.54

Assuming the amount of  $1,000 was invested at an interest rate of 16%, compounded continuously, for a period of five years, what the ending balance will be is: $2,225.54

p represent Principal = $1000

r represent Interest rate= 16% or 0.16

t represent=5 years  

Now let determine the ending balance

Ending balance= $1000e^(0.16)(5)

Ending balance=$1000e^(0.8)

Ending balance=$1000 X 2.2255409284924

Ending balance=$2,225.5409284924

Ending balance=$2,225.54 (Approximately)

Inconclusion if  the amount of  $1,000 was invested at an interest rate of 16%, compounded continuously, for a period of five years, what the ending balance will be is: $2,225.54

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After simplifying the expression 2(3a-2)+4a, we get 10a-4, which is not equivalent to 10a-2 due to a difference of 2.

To determine if the expression 2(3a-2)+4a is equivalent to 10a-2, we must simplify the former expression.

First, distribute the 2 into the parenthesis: 2 × 3a is 6a, and 2 × -2 is -4. So we get 6a - 4.

Next, we add the 4a that is outside the parenthesis to the 6a we got after distribution: 6a + 4a equals 10a.

Now we have 10a - 4. This is close to 10a-2 but there is a difference of 2. Therefore, the two expressions are not equivalent.

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Answer:

A- 170$

Step-by-step explanation:

The approximate six month premium is $170.

A linear equation is an equation in which there is one variable that is raised to the power of 1. An example is x + 2

In order to determine the six month premium, substitute for d and b in the given equation:

P = 2 x 1.02 x $500 = $1020

Monthly premium = $1020 / 6 = $170

Here is the complete question:

Jerome uses the formula, P = 2DB, to find his approximate six-month premium when his driver risk factor, D, is 1.02 and the basic six-month premium is $500.What will his monthly premium be?

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Answer:

(x + 1)(x + 8)

Step-by-step explanation:

Given

x² + 9x + 8

Consider the factors of the constant term (+ 8) which sum to give the coefficient of the x- term (+ 9)

The factors are + 1 and + 8, since

1 × 8 = 8 and 1 + 8 = 9, thus

x² + 9x + 8 = (x + 1)(x + 8)

Answer:

Step-by-step explanation:

[tex]1\ L=1,000\ mL\Rightarrow1\ mL=\dfrac{1}{1,000}\ L=0.001\ L\\\\0.743\ mL=0.743\cdot0.001\ L=0.000743\ L[/tex]

Answer:

First Problem:  $50.15

Second Problem:  $20,468

Step-by-step explanation:

First Problem:  If the original price is $41.00 and the discount is $6.15

41.00 - 6.15 = $34.85 is the discounted price

34.85 / 41.00 = 0.85 -> this shows the amount that you pay from the original price

So if the other product costs $59.00 you just do 59.00 * 0.85 = $50.15

This shows that %85 of the original cost is what you pay.

Second Problem:  So, the first amount sold is 160 tickets and the price for each ticket is $59.50.

160 * $59.50 = $9,520 for the afternoon batch

If they sold %15 more in the evening that means that they sold 160 tickets plus another %15 of the 160.

160 * 1.15 = 184 tickets sold in the evening

184 * $59.50 = $10,948 for the evening batch

So they sold a total of $9,520 + $10,948 = $20,468

Answer:

44)  $50.15

45) $20,468

Step-by-step explanation:

44)  $ off sweater = 6.15

41.00 - 6.15 = 34.85

6.15 ÷ 41.00 = 0.15 = 15% discount

$59.00 - 15%

$50.15

45)

Afternoon = 160 tickets

Evening = 15% more = 160 + 15% = 184 tickets

160 + 184 = 344 tickets total

344 * $59.50 = $20,468

Hope this helps :)

Answer:

b)  Complement of spinning any number less than 3 is Spinning 3 or 4.

Step-by-step explanation:

COMPLIMENT of any Set A  is the set of all the elements which are in the  sample space but NOT IN SET A.

Here, Event E  = Spinning a spinner with 4 parts and getting a number less than 3.

Here, Sample Space = {1,2,3,4}

Also, as outcomes is LESS THAN 3, ⇒   E  = {1 ,2}  

Now, Compliment E  = Sample Space - { Elements in set E}

                                    = {1,2,3,4} -  {1 ,2}

or, E'  = { 3,4}

Hence,  complement of spinning any number less than 3 is Spinning 3 or 4.

Answer:

Spinning a 3 or 4

Step-by-step explanation:

The numbers that are less than 3 on the spinner, are 1 and 2. Therefore, the complement or opposite of that are all the numbers other than 1 and 2. So the answer is 3 and 4.

Answer: If it is on a coordinate plane, (-1,-4) would be in quadrant 3. (1,4) would be in quadrant one.

Step-by-step explanation:

quadrant 1 is both positive numbers (both the x and the y axis).

quadrant 2 is when the x axis is negative and the y axis is positive.

quadrant 3 is when both the x and y axis is negative

quadrant 4 is when the x axis is positive and the y axis is negative.

Answer:

ur numbers are 2 and -5

Step-by-step explanation:

7x + 3y = -1

x + y = -3......x = -3 - y

7(-3 - y) + 3y = -1

-21 - 7y + 3y = -1

-7y + 3y = - 1 + 21

-4y = 20

y = -20/4

y = -5 <====

x = -3 - y

x = -3 - (-5)

x = -3 + 5

x = 2 <====

Answer: The numbers are 2 and -5

Step-by-step explanation:

7x+3y=-1  ...(equation 1)

x+y=-3    ...(equation 2)

x+y=-3

Broken down, we have x=-3-y

Substitute x=-3-y into equation 1

Then we have 7(-3-y) +3y=-1

Which is -21-7y+3y=-1

which is -21-4y=-1

-4y=-1+21=20

y=-20/4=-5

y=-5

Substitute y=-5 into equation 1  

x+y=-3

x-5=-3

x=-3+5=2

x=2

Answer:

x- intercept (- 8, 0), y- intercept (0, 8)

Step-by-step explanation:

To find the y- intercept, let x = 0 in the equation and solve for y

y = 0 + 8 = 8 ⇒ (0, 8 ) ← y- intercept

To find the x- intercept, let y = 0 in the equation and solve for x

x + 8 = 0 ( subtract 8 from both sides )

x = - 8 ⇒ (- 8, 0 ) ← x- intercept

X-intercept is (-8,0) and y-intercept is (0,8). the correct option is A.

The intersection of the graph of the function with the y-axis gives y-intercept of that function. The y-intercept is the value of y on the y-axis at which the considered function intersects it.

Assume that we've got: y = f(x)

At y-axis, we've got x = 0, so putting it will give us the y-intercept.

Thus, y-intercept of y = f(x) is y = f(0)

We are given that;

Function y=x+8

Now,

The equation of the graph is y = x + 8. To find the x-intercept, we set y = 0 and solve for x.

0 = x + 8

x = -8

Therefore, the x-intercept is (-8, 0).

To find the y-intercept, we set x = 0 and solve for y.

y = 0 + 8

y = 8

Therefore, X-intercept will be (-8,0) and y-intercept will be (0,8).

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Answer:

You cant Simplify it an further

Answer:

0.1676

Step-by-step explanation:

When x dissapears we have a false equation:

-4 = 5, so the equation does not have solutions, which means that Evelyn is incorrect.

The equation has infinite solutions?

Let's simplify the equation:

3(x - 3) + 5 = 3x + 1 + 4

distributing the left side.

3x - 9 + 5 = 3x + 1 + 4

3x - 4 = 3x + 5

If you subtract 3x in both we will get:

3x - 4 - 3x = 3x + 5 - 3x

-4 = 5

This is false, and x disappeared, so there is no value of x that makes this equation true, meaning that the equation does not have a solution.

Answer:

4

Step-by-step explanation:

Factor of 8n = 2x2x2n

Factor of 12m = 2x2x3m

GCF = 2x2 = 4

If Brittany is starting at the origin and the destination is (6,3), Brittany should move 6 units to the right then 3 units up. This is location where she should plot the point.

Brittany graphs the plot (6,3), she should move 6 units to the right then 3 units up.

A plot is a graphical technique for representing a data set, usually as a graph showing the relationship between two or more variables. The plot can be drawn by hand or by a computer. In the past, sometimes mechanical or electronic plotters were used.

How to solve?

If Brittany is starting at the origin and the destination is (6,3), Brittany should move 6 units to the right and then 3 units up. This is a location where she should plot the point.

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The larger number is 66 and the smaller number is 14.

Step-by-step explanation:

Let,

The larger number = x

The smaller number = y

According to given statement;

x-y=52     Eqn 1

5y = x+4   Eqn 2

From Eqn 2

x = 5y-4    Eqn 3

Putting value of x from Eqn 3 in Eqn 1

[tex]5y-4-y=52\\4y=52+4\\4y=56[/tex]

Dividing both sides by 4

[tex]\frac{4y}{4}=\frac{56}{4}\\y=14[/tex]

Putting y=14 in Eqn 3

[tex]x=5(14)-4\\x=70-4\\x=66[/tex]

The larger number is 66 and the smaller number is 14.

Keywords: linear equation, substitution method

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Answer:

y-8+3y+12

4y+4

Step-by-step explanation:

y-8+3y+12

4y+4 is your answer

Step-by-step explanation:

We know that

[tex]tan\theta =\frac{altitude}{base}[/tex]

Using this for the triangles

For the small triangle

[tex]tan \theta =\frac{6\frac{1}{2} }{9}[/tex]

[tex]\Leftrightarrow tan \theta =\frac{\frac{13}{2} }{9}[/tex]

[tex]\Leftrightarrow tan \theta =\frac{13} {18}[/tex]

Again for the bigger triangle

[tex]tan \theta =\frac{h}{31\frac{1}{2} }[/tex]

[tex]\Leftrightarrow tan \theta =\frac{h}{\frac{63}{2} }[/tex]

[tex]\Leftrightarrow tan \theta =\frac{2h}{63}[/tex]

Therefore

[tex]\frac{2h}{63} =\frac{13}{18}[/tex]

[tex]\Leftrightarrow h=\frac{13 \times 63}{18 \times 2}[/tex]

[tex]\Leftrightarrow h=\frac{819}{36}[/tex]

[tex]\Leftrightarrow h = 22.75[/tex] ft

Therefore h = 22.75 ft

Answer:

1,81, AND 100

Step-by-step explanation:

A PERFECT SQUARE IS A NUMBER THAT WHEN YOU MULTIPLY A NUMBER BY ITSELF, YOU WILL GET THAT NUMBER

1*1=1

9*9=81

10*10=100

Answer:

12 feet

Step-by-step explanation:

Perimeter=all 4 sides added up

So perimeter=14+14+w+w, if w is width

52=28+2w

24=2w

w=12

I assume you mean (x^2+8)/(x-5)?

If so, we have:

(8^2+8)/(8-5)

(64+8)/3

72/3

24

So the value is 24 when x=8

Hope this helped!

Answer:

Step-by-step explanation:

Answer:

$12.79

Step-by-step explanation:

$45 - $18.63 = $26.37

$26.37 - ($.47 x 2) = $26.37 - $.94 = $25.43

$25.43 - $12.64 = $12.79

Answer:

139

Step-by-step explanation:

Substract 41 from 180 assuming line LN is a straight line. the angles are supplementary

Answer:

=0.4

Step-by-step explanation:

1/3= 0.33

5/6=0.83

Then: 0.33/0.83 = 0.4

You can also do 6/15 which results from (1*6)=6 and (3*5)=15

2 bottles divided by 6 people = 2/6 which equals 1/3.

43,604

Subtract 5398 from 49002

Answer:

Step-by-step explanation:

49,002 is greater than -5,398

Answer:

x=10

Step-by-step explanation:

First combine like terms:

14x + 40 = 180

Second subtract 40 from both sides:

14x = 140

Third divide both sides by 14:

x = 10