7. The temperature in Copenhagen is -9 °C.
Draw an arrow pointing to -9 °C on this number line.
-10
0
10
The temperature in Manchester is 3 °C.
Find the temperature difference between Manchester and Copenhagen.
Use the number line to help you.

Answer:

x= 500 y= 1500

Step-by-step explanation:

Isolate x or y in the first equation

Isolating for x would be x= -y+2000

Substitute X=-y+2000 into equation 10x+20y=35000

10(-y+2000)+20y=35000

Exapnd the equation above and you should get y=1500

Same steps for finding x by isloating for y

Answer:

Step-by-step explanation:

Answer:

The artifact was made approximately 13,306 years ago

Step-by-step explanation:

The half-life of Carbon-14 = 5730 years

The formula for radioactive decay is given by the equation:

[tex]N=N_0 e^{- \lambda t}\\where:\\N = Number\ of\ particles\ at\ time\ t\\N_0= Number\ of\ particles\ at\ time\ t_0\\\lambda = decay\ constant = \frac{In}{t_{1/2}} ; t_{1/2} = half-life\\t = time\ in\ years[/tex]

The amount of Carbon-14 left = 20% = 20/100 = 0.2

[tex]\therefore \frac{N}{N_0} = 20 \% = 0.2[/tex]

[tex]N=N_0 e^{- \lambda t}\\\\dividing\ both\ sides\ by\ N_0\\\frac{N}{N_0} = e^{- \lambda t}\\0.2 = e^{- \lambda t}\\taking\ natural\ logarithm\ of\ both\ sides\\In 0.2 = Ine^{- \lambda t}\\In0.2 = -\lambda \times t\\but\ \lambda = \frac{In2}{t_{1/2}} \\\therefore In0.2 = -\lambda \times t\\\\= In0.2 = - \frac{In2}{t_{1/2}} \times t\\where\ t_{1/2} = 5730\ years\\-1.6094 = - \frac{0.6931}{5730} \times t\\-1.6094 = - 0.00012095 \times t\\t = \frac{-1.6094}{-0.00012095} \\t = 13,306.32[/tex]

t ≈ 13,306 years

Step-by-step explanation:

There is no fraction bars

Answer:

6

Step-by-step explanation:

5x5=25

then add 17, 25+17=42

then divide by 7, 47÷7=6

Answer:8

Step-by-step explanation:

Answer:

[tex] x = 17.5 [/tex]

Step-by-step explanation:

Since the two triangles are similar, their corresponding side lengths would be proportional. Therefore:

[tex] \frac{28}{16} = \frac{x}{10} [/tex]

Cross multiply

[tex] x*16 = 10*28 [/tex]

[tex] 16x = 280 [/tex]

Divide both sides by 16

[tex] x = \frac{280}{16} [/tex]

[tex] x = 17.5 [/tex]

Answers:

the answers are...

1.) equivalent fractions

2.) mixed number

3.) improper fraction

4.) denominator

5.) numerator

6.) proper fraction

look at the screenshot!!

hope this helps :)

Answer:

1. Fractions that may be expressed differently, but still have the same value

→Equivalent fractions

2. Consists of an integer and a proper fraction

→Mixed number

3. A fraction with a numerator that is larger than or equal to the denominator

→Improper fraction

4. The bottom part of a fraction; represents the whole

→Denominator

5. The top part of a fraction; represents part of the whole

→Numerator

6. A fraction with a numerator that is less than the denominator

→Proper fraction

Complete question :

The computer output and scatter plot output pertaining to the question can be found in the attached picture.

Answer:

Kindly check explanation

Step-by-step explanation:

A.) Relationship between height and fastest serve speed :

According to the scatterplot and Correlation Coefficient (R) value which can be obtauned by getting the square root of R²

R = √27.7%

R = 0.5263 = 52.63% ; this depicts a fairly strong positive correlation or relationship between height and fastest serve speed

B.)

Equation of least square regression line :

From the computer output and scatter plot above :

Recall :

y = mx + c

y =predicted variable (s fastest serve)

m= slope

x = predictor variable (height)

c = intercept

y = 84.98x + 68.81

C.) 27.7% of the variation in fastest speed can be explained by height while the remaining percentage is due to other variables

D.) fastest serve of tennis player with height 1.7m

y = 84.98x + 68.81

y = 84.98(1.7) + 68.81

y = 213.276km/hr

E.)

R = √27.7%

R = 0.5263 = 52.63% ; this depicts a fairly strong positive correlation or relationship between height and fastest serve speed

F.)

Height = 2.06m = x

y = 84.98(2.06) + 68.81

y = 243.8688 km/hr

Residual = Actual - predicted

Actual = 230 ; predicted = 243.8688

Residual = 230 - 243.8688

Residual = −13.8688

Hence, the model overestimated fastest serve speed of a 2.06 m tall player by −13.8688 km/hr

Answer:

the common factor of 54 and 66 is 6

Step-by-step explanation:

Answer:

I think it would be 6.

Step-by-step explanation:

I googled it.

Answer:

1 Solution

Step-by-step explanation:

she has $7.85 in quarters and dimes

quarters = 25c

dimes = 10c

she has 12 more

so, we know she has AT LEAST 12 quarters

25 x 12 = 300 = $3.00

but we also know its not possible for her to have more dimes quarters

( im not rlly sure what to do, bc you havent given me multiple choices, but i hope this helps )

Step-by-step explanation:

John has earned a 77, 76, and 84 on his first three projects of the semester.

He hopes to have an B quiz average (80 or above).

We need to find the lowest score John can make on his fourth and final project. Let the score is x.

Average = sum of numbers/total numbers

[tex]80=\dfrac{77+76+84+x}{4}\\\\320=237+x\\\\x=83[/tex]

So, he must score 83 or more on his fourth project so as to make average 80 re above.

Answer:

c

Step-by-step explanation:

,

Answer:

The Answer is C

Step-by-step explanation:

Answer:

There are 16 left-handed players.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

I took the test and it was 1 inch equals 4 feet :)

The scale is  1 inch equals 4 feet.

When both the original dimensions and the new dimensions are known, the scale factor may be determined. When employing the scale factor, there are two terms that must be understood. When a figure's size is increased, we refer to this as scaling up, and when its size is decreased, we refer to this as scaling down.

Given:

Actual length if park = 48 feet

and, Scale drawing length= 12 inch

So, scale be choose be

= 48/ 12

= 4

Hence, the scale is  1 inch equals 4 feet.

Learn more about scale factor here:

https://brainly.com/question/22312172

#SPJ5

Answer:

14, 8

Step-by-step explanation:

Using the formulas

A= Length * Width (lw)

P=2(l+w)

l+w)

There are 2 solutions forl

l=P

4+1

4P2﹣16A=44

4+1

4·442﹣16·112=14in

l=P

4﹣1

4P2﹣16A=44

4﹣1

4·442﹣16·112=8in

Answer:

Step-by-step explanation:

Given the equation of the unit price expressed as;

p = 7 + 2q1⁄3, we are to find the value of q when p = 20

20 = 7 + 2q1⁄3

20-7 = 2q/3

13 = 2q/3

Cross multiply

13 * 3 = 2q

39 = 2q

q = 39/2

q = $19.5

Hence the producer surplus is 1950 cents

Answer:

It would be 993 with a remainder of 6

Step-by-step explanation:

993 x 7 = 6951

6957 - 6951 = 6 remainder

Hoped this helps

Answer:

993 ; Remainder: 6

Step-by-step explanation:

Calculator

Answer:

2 3/4 Gallons

Step-by-step explanation:

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

Convert 4 1/2 to 4 2/4 then subtract and you will get 2 3/4

Answer:

D. (2 x 0,01) + (7 % 0,001)

Answer:

jhghgfg

Step-by-step explanation:

Answer:

Step-by-step explanation:

Circumference of a circle is expressed as;

C = 2πr

r is the radius of the circle

Given

C = 53.38cm

radius r = 8.5cm

Substitute into the formula to get π

From the formula;

π = C/2r

π = 53.38/2(8.5)

π = 53.38/17

π = 3.14cm

The value of pi is 3.14 cm

Answer:

It's C

Step-by-step explanation:

Answer:

Liz did

Step-by-step explanation:

because if you multiply 47 to 2, then you get 94 and that's higher than 92, not sure but i hope this works

Answer:

why have so many tabs lol

Step-by-step explanation:

Answer:which grade are you

Step-by-step explanation:

If you are grade 7 to 9 I know

Answer:

$986.50

Step-by-step explanation:

$750 x 0.07 = $52.50

$52.50 x 4.5 = $236.25

$236.25 + $750 = $986.25

Answer:

$986.25

Step-by-step explanation:

(750 *0.07)*4.5 =

52.59 * 4.5 = 236.25

750 + 236.25 = 986.25

Answer:

the answer is seven:7

Step-by-step explanation:

i got it right

Answer:

7

Step-by-step explanation:

I took the test before