On the scale drawing of a car, the length from bumper to bumper is 6 inches. The car’s actual length, from bumper to bumper, is 16 feet. How many inches would be used to represent an actual length on the car of 10 feet? Explain or show your reasoning. Use

Answer:false

Step-by-step explanation:

(-7)^2

(-7)*(-7)

49

49 is a positive number

Answer:

It is false

Step-by-step explanation:

It is false because if you have two groups of negatives, it is positive. (-7)^2 is the same as -7x-7. Two negatives equal a positive, so the answer should be 49. 49 is positive so it is false.

Answer:

B. 13

Step-by-step explanation:

[tex]10+(\frac{1}{2}) ^{4} *48=\\\\10+\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*\frac{1}{2}*48=\\\\10+\frac{1}{16}*48=\\\\10+\frac{48}{16}=\\\\10+3=\\\\13[/tex]

Answer:

Step-by-step explanation:

First, use PEMDAS

Parenthesis, Exponents, multiplication, division, addition, subtraction

1/2 * 1/2 * 1/2 * 1/2 = 1/16 = Parenthesis and Exponents

1/16*48 = 48/16 = 3 = Multiplication and Division

3+10 = 13 = Addition

This can conclude that 13 is the answer.

Answer:

20

Step-by-step explanation:

K=?

K= x*2= 2x

K= 10*2 = 20

A ten year ago she was 10 and after ten years she is 20, so 20 is twice 10

Answer:

x > -3

Step-by-step explanation:

-3x - 3 < 6

Add 3 to each side

-3x - 3+3 < 6+3

-3x < 9

Divide by -3 remembering to flip the inequality

-3x/-3 > 9/-3

x > -3

Answer:

[tex]4x^2+xy-18y^2=(4x+9y)\,(x-2y)[/tex]

Step-by-step explanation:

Let's examine the following general product of two binomials with variables x and y in different terms:

[tex](ax+by)\,(cx+dy)= ac\,x^2+adxy+bcxy+bdy^2[/tex]

so we want the following to happen:

[tex]a\,c = 4\\ad+bc=1\\bd--18[/tex]

Notice as well that [tex]ad+bc =1[/tex] means that those two products must differ in just one unit so, one of them has to be negative, or three of them negative. Given that the product [tex]bd=-18[/tex], then we can consider the case in which one of this  (b or d) is the negative factor. So let's then assume that [tex]a\,\,and \,\,c[/tex] are positive.

We can then try combinations for  [tex]a\,\,and \,\,c[/tex]  such as:

[tex]a = 4;\,\,c=1\\a=2;\,\,c=2\\a=1;\,\,c=4[/tex]

Just by selecting the first one [tex](a=4;\,\,c=1)[/tex]

we get that [tex]4d_b=1\\b=-4d-1[/tex]

and since

[tex]bd=-18\\(-4d-1)\,d=-18\\-4d^2-d=-18\\4d^2+d-18=0[/tex]

This quadratic equation give as one of its solutions the integer: d = -2, and consequently,

[tex]d=-18/(-2)\\d=9[/tex]

Now we have a good combination of parameters to render the factoring form of the original trinomial:

[tex]a=4; \,\,b=9;\,\,c=1;\,\,d=-2[/tex]

which makes our factorization:

[tex](4x+9y)\,(x-2y)=4x^2+xy-18y^2[/tex]

Answer:

27

Step-by-step explanation:

[tex]6(3+4)-5(1+2)= \\\\6(7)-5(3)= \\\\42-15= \\\\27[/tex]

Hope this helps!

Answer:

27

Step-by-step explanation:

6(3+4)-5(1+2)=

6(7)-5(3)=

42-15=

27

Answer:

1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

angle pair for vertical angles is called straight angle....

the joining between two pages of a book is a vertical angle....

the road itself is a vertical angle

Answer:

Solution,

Hypotenuse(h)=X

Perpendicular (p)=9

Base(b)=12

Now,

Using Pythagoras theorem,

[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {x}^{2} = {(9)}^{2} + {(12)}^{2} \\ or \: {x}^{2} = 81 + 144 \\ or \: {x}^{2} = 225 \\ or \: x = \sqrt{225} \\ or \: x = \sqrt{ {(15)}^{2} } \\ x = 15[/tex]

hope this helps...

Good luck on your assignment...

The length of the hypotenuse in the given triangle is A. 15 units.

This type of question makes a right-angled triangle that can be solved by Pythagoras's theorem.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

Given, the base of the triangle is 12 units and the height is 9 units.

∴ x² = 9² + 12².

x² = 144 + 81.

x² = 225.

x = + 15 units.

So, the length of the hypotenuse is 15 units.

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Answer:

The amount of energy it takes to lift a box might be a function of the weight of the objects inside the box. Work is proportional to force and distance. The force of the box is the weight itself of the box. Hence the answer to this problem is B.

Step-by-step explanation:

Answer:

Answer Choice 'A' would be correct.

Answer:

n = 18 cycles

Step-by-step explanation:

To know how many times does the current oscillates in the given time, you take into account that the number of oscillation can be calculated by using the following expression:

[tex]n=ft[/tex]         (1)

f: frequency of the oscillation of the current

t: time = 0.30s

The frequency is the number of cycles per second, that is, f = 60 cycles/s

You replace the values of f and t in the equation (1):

[tex]n=(60\frac{cycles}{s})(0.30s)=18\ cycles[/tex]

In 0.30s the current oscillates 18 times

Answer:

$400

Step-by-step explanation:

Seeing as VAT adds to the original price we needed to go DOWN in value to find the original price. So all I did was go through trial and error and I went and saw what 20% of number like 450 and 420 were and then I added them to the price to see if it would get to £480. So when I checked 20 percent of 400 I got 80 which added to 400 gives the market price of £480.

Answer:

do we have opitions

Step-by-step explanation:

The result of dividing (3x³ + 2x² + 10) by (x - 3) is 3x² + 11x + 33 with a remainder of 109.

dividing (3x³ + 2x² + 10) by (x - 3) using long division

               3x² + 11x + 33

              _______________________

x - 3  |   3x³ + 2x² + 0x + 10

              -(3x³ - 9x²)

            _______________________

                      11x² + 0x + 10

                      -(11x² - 33x)

                   _______________________

                               33x + 10

                               -(33x - 99)

                            _______________________

                                         109

The result of dividing (3x³ + 2x² + 10) by (x - 3) is 3x² + 11x + 33 with a remainder of 109.

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Answer:

D

Step-by-step explanation:

If two lines are perpendicular, the products of their slopes will be -1. Therefore, we're looking for a line with slope of -1/2. Let's check each answer:

A: 5 - 3 / (-2 - 3) = 2 / -5    

B: 6 - 5 / 6 - 5 = 1

C: 5 - 3 / 4 - 3 = 2

D: 4 - 3 / 3 - 5 = -1/2

The answer is D.

The line through points ( 3,4) ( 5,3) is perpendicular to the line l , Option D is the correct answer.

An equation of a straight line is y = mx+c , here m is the slope and c is the y intercept

m is determined by

[tex]\rm m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

It is given that line l has slope = 2

The line perpendicular to it will have a slope such that the product is -1

So , the line perpendicular to it should have the slope = -1/2

Slope of Option A is

5 - 3 / (-2 - 3) = 2 / -5    

Slope of Option B is

6 - 5 / 6 - 5 = 1

Slope of Option C is

5 - 3 / 4 - 3 = 2

Slope of Option D is

4 - 3 / 3 - 5 = -1/2

Therefore , The line through points ( 3,4) ( 5,3) is perpendicular to the line l , Option D is the correct answer.

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Answer:

Solution of the system of equations will be (6, 6).

Step-by-step explanation:

Table for the first equation,

[tex]y=\frac{1}{2}x+3[/tex]

x          0          2         4         6         8      

y          3          4         5         6         7

(x, y) (0, 3)    (2, 4)   (4, 5)    (6, 6)   (8, 7)

We have got the values of y by substituting the values of x in the given equation for the table.

Similarly, for the other equation,

y = 2x - 6

x           0          2         4           6           8

y          -6         -2         2           6          10  

(x, y)  (0, -6)   (2, -2)  (4, 2)   (6, 6)    (8, 10)

By analyzing both the tables we find (6, 6) is a common point in both the tables.

That represents the points of intersection of both the lines.

Therefore, solution of the system of equations will be (6, 6)

Answer :

x = 2

y = -1

I hope it helps

Answer:

[tex]11x^2-2x-6[/tex]

Step-by-step explanation:

[tex](4x^2+3x)+(7x^2-5x-6)= \\\\(4x^2+7x^2)+(3x-5x)-6= \\\\11x^2-2x-6[/tex]

Hope this helps!

Answer:

W=2.615

Step-by-step explanation:

9w-36-7w=15w-2

2w-36=15w-2

15w-2w=-36+2

13w=34

w=34/13

W=2.615

Answer:

B. -2

Step-by-step explanation:

If you distribute the -2, you can see that you have -2x. Your slope-intercept form y = mx + b tells you that mx is always your slope. Therefore, your answer is B.

Answer:

Multiply to find your answer

Step-by-step explanation:

Answer:

AB= 4

Step-by-step explanation:

Big ideas :)

Answer:

A

Step-by-step explanation:

Answer:

its A edge 2021

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The area of a rectangle is l × w.

x × 11/3 = 44

x = 44 × 3/11

x = 12

Answer:

√40 ≈ 6.32

√75 ≈ 8.66

√90 ≈ 9.49

√245 ≈ 15.65

√450 ≈ 21.21

√640 ≈ 25.30

√675 ≈ 25.98

Step-by-step explanation:

You can use your calc or estimate your answer by simplifying (like √640 is 8√10, and estimate the square root of 10). However, getting decimals will require you to use a calc.

Answer: 65 grams

Step-by-step explanation:

If 130 grams of a gold alloy (a mixture of gold and one or more other metals) containing 85% pure gold, that means the percentage of other metals will be;

100 - 85 = 15 %

You should first calculate the amount of gold that makes up this percentage.

That is, 85% of 130 grams.

85/100 × 130 = 110.5

Then, let X be what will be added to the above value to make 90%. So,

(110.5 + X) / ( 130 + X ) × 100 = 90

Divide both sides by 100

(110.5 + X) / ( 130 + X ) = 90/100

(110.5 + X) / ( 130 + X ) = 0.9

Cross multiply and open the bracket

110.5 + X = 117 + 0.9X

Collect the like terms

X - 0.9X = 117 - 110.5

0.1X = 6.5

Divide both sides by 0.1

X = 6.5/0.1

X = 65 grams

Therefore, the amount of pure gold that should be added is 65 grams

Answer:

might be 20.8 lmk

Step-by-step explanation:

Answer:

x = 12√3

Step-by-step explanation:

Answer:

The correct option is:

The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by a factor of 1.5.

Step-by-step explanation:

The function given to us is:

f(x) = 4(1.5)ˣ

Substitute x = 0 in the given function:

f(0) = 4(1.5)⁰

f(0) = 4(1)

f(0) = 4

Which means that the graph pass through the point (0,4)

Now Substitute x = 1 in the given function:

f(1) = 4(1.5)¹

f(1) = 6

Substitute x =2 in the given function:

f(2) = 4(1.5)²

f(2) = 9

Divide the consecutive values:

f(2) / f(1) = 9/6 = 1.5

f(1) / f(0) = 6/4 = 1.5

Hence the values of y increase by the factor of 1.5

Answer:

B The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by a factor of 1.5.

Step-by-step explanation:

Edge 2021

Answer:

4

Step-by-step explanation:

COUNT ALL (16) DIVIDE BY 4

Answer: 4

Step-by-step explanation:

Each baseball team has a quantity of baseballs.

To find the mean, add all quantities and divide by how many teams there are.

7 + 2 + 4 + 3 = 16

16 / 4 = 4

The equation representing this situation is 25 + 5x = 40, where x represents the price of each pair of socks.

To determine the price of each pair of socks, we can set up an equation based on the given information.

Let's assume that the price of each pair of socks is represented by x.

Andrea bought 5 identical pairs of socks, so the total cost of the socks is 5x.

Additionally, she bought a pair of shoes for $25.

Considering the total amount spent at the shoe store is $40, we can write the equation as follows:

25 + 5x = 40.

This equation represents the total cost of the shoes and socks equaling the amount Andrea spent.

To find the price of each pair of socks, we solve the equation for x.

First, subtract 25 from both sides:

5x = 40 - 25,

5x = 15.

Then, divide both sides by 5 to isolate x:

x = 15 / 5,

x = 3.

Therefore, each pair of socks costs $3.

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Answer:

Kaleb took the additive inverse of the first integer.

Step-by-step explanation:

The subtraction: 6 - 17, can be changed to: 6 + (-17), adding the additive inverse (the minus sign of the subtraction changes to a plus sign, and 17 changes to its additive inverse, -17).

Kaleb transforms: 6 - 17, into: -6 + 17. He took the additive inverse of the first integer, instead of the second one.