Lee is y years old
Toby is 8 years younger than lee
the sum is of their ages is less than 41
write down in terms of y an inequality to show this information

Answer:

The graph of the equation x2+y2=0 in the three dimensional space is (A) x-axis (B) y-axis (C) z-axis (D) xy-plane

Step-by-step explanation:

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Answer:

20cm Perimeter: 90

Step-by-step explanation:

Hope this helps!(^-^)

Step-by-step explanation:

area of rectangular sheet is 500 CM square

length =25cm

area =l×b

500cm2=25cm×b

500cm2÷25cm=b

20cm=b

b=20cm

again,

perimeter =2(l+b)

perimeter =2(25cm+20)

perimeter =2×45

perimeter =90cm

Step-by-step explanation:

2.9 hours = 174mins

174 mins = 4.9miles

1 miles = 1740/49 mins

8.73 miles = 310.0mins (1dp)

Topic: Rate & Proportions

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Answer

No

Step-by-step explanation:

it is not a function because 9 and three are a pair but so are 27 and 3. that makes it not a function

No, the given relation is not a function. A function is a connection between inputs in which each input is connected to precisely one output.

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co-domain, and domain for every function.

Given, a table where points are denoted as inputs and outputs.

To prove the relation is a function:

A relation between a collection of inputs and outputs is known as a function.

A function is a connection between inputs in which each input is connected to precisely one output.

But here, input value of 3 have two outputs.

Which gives us contradiction.

Therefore, a given relation is not a function.

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Answer:

Reflection over the Y axis

Step-by-step explanation:

I got it right on imagine math.

The transformation rule is given as the reflection over y-axis.The correct option is (C).

The graph of a function can be transformed by either shifting it in the right, left, up or down.

When the transformation is rightwards, the function becomes as f(x - a).

For left shifting it is f(x + a).

Take any coordinate to describe the transformation.

For point E and E' the coordinates are given as (-5, 3) and (5, 3).

Since, y coordinate is the same while the sign of x coordinate has changed.

Point E' is the reflection of E across y-axis.

Hence, the required transformation for the given graph is reflection over y-axis.

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Answer:

y = -10/3x - 17/3

Answer:

97 boxes

Explanation:

4,830÷50= 96.6

You then have to round 96.6 up and you get 97.

To check your answer:

97×50= 4,850

Even though having 97 boxes leaves more room for envelopes, having 96 boxes will leave all the boxes full with remaining envelopes. 96 boxes isn't enough for 4,830 envelopes.

Answer:

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Step-by-step explanation:

Answer:

The measure of the largest interior angle is [tex]87.5^{o}[/tex].

Step-by-step explanation:

Given one of the interior angles of the triangle =  40°. Let the other interior angles be represented by b and c.

Sum of angles in a triangle is [tex]180^{o}[/tex].

So that;

b + c +  40° = [tex]180^{o}[/tex]

b + c = [tex]180^{o}[/tex] - 40°

b + c = [tex]140^{o}[/tex]

But, b and c are in the ratio 3:5

Thus,

b = [tex]\frac{3}{8}[/tex] x [tex]140^{o}[/tex]

  = [tex]52.5^{o}[/tex]

b = [tex]52.5^{o}[/tex]

c = [tex]\frac{5}{8}[/tex] x [tex]140^{o}[/tex]

  = [tex]87.5^{o}[/tex]

c = [tex]87.5^{o}[/tex]

Check:

[tex]52.5^{o}[/tex] + [tex]87.5^{o}[/tex] = [tex]140^{o}[/tex]

The measure of the largest interior angle is [tex]87.5^{o}[/tex].

Answer: 49/120kg

Step-by-step explanation:

7/8•7/15 = 49/120

Answer:

1.04

Step-by-step explanation:

6.24 divided by 6= 1.04

6 goes into the 6, 1 time

6 goes into the .24, .04 times

Answer:

Step-by-step explanation:

The equation of shifted function y = ax² is y = a(x-h)²+k, where h tells us how many units we move left (h<0) or right (h>0) and k tells how many units up (k>0) or down (k<0)

y = x² - 20 = 1(x - 0)² + (-20)   ⇒  k = -20<0

So it's shifted 20 units down.

33480783

Finding the Common Ratio:

We know that the formula for the common ratio of a GP is:

r = aₙ / (aₙ₋₁)        (Where n is any integer)

replacing the values, taking n=2

r = -21 / 7

r = -3

Solving for the 15th Term:

We know that the Formula for the nth term of a GP:

G(n) = a * r ⁿ⁻¹     (where a is the first term and r is the common ratio)

replacing the values (taking n = 15 since we need the 15th term)

G(15) = 7 * (-3)¹⁴

G(15) = 33480783

Hence, the 15th term of the given GP is 33480783

Answer:

70¢

Step-by-step explanation:

$8.40/12 bars equals $0.70

Step-by-step explanation:

A formula that allows you to rewrite a logarithm in terms of logs written with another base. This is especially helpful when using a calculator to evaluate a log to any base other than 10 or e. Assume that x, a, and b are all positive.

Answer:

Exact Form:

4\3

Decimal Form:

1.3

Mixed Number Form:

1 1/3

[tex]2\frac{6}{9}[/tex] - [tex]1\frac{3}{9}[/tex] as a mixed number in its simplest form is  [tex]1\frac{1}{3}[/tex].

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given:

The mixed numbers are [tex]2\frac{6}{9}[/tex] and [tex]1\frac{3}{9}[/tex].

Now, subtracting the numbers,

[tex]2\frac{6}{9}[/tex] - [tex]1\frac{3}{9}[/tex],

= 24/9 - 12/9

= 12/9

= 4/3

= [tex]1\frac{1}{3}[/tex].

Therefore, the value is  [tex]1\frac{1}{3}[/tex].

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Answer:

-2

Step-by-step explanation:

Lets factor

(x+2)(x+2)=0

x=-2

Answer:

Travis estimated the product of 602 and 341 to be 1,800. His work is shown below. Find and explain Travis's error. 600×300 6 hundreds × 3 hundreds =18 hundreds 600×300=1,800 b. Margaret said the exact product of 602

Step-by-step explanation:

i hoped it was right!

Answer:

24000

Step-by-step explanation:

Answer:

there are 114

Step-by-step explanation:

Ratio of red marbles to black marbles is 19:1. (Data from 3rd sentence)

19+1= 20

20 units= 120 (Data from 1st sentence)

1 unit= 120/20= 6

19 units= 120-6= 114 (Values solved in working above)

Ans: There are 114 red marbles.

Answer:

101

Step-by-step explanation:

Step-by-step explanation:

Total number of people =3000

Let

the number of fans=17x

The number of staff=3x

[tex]{:}\longrightarrow[/tex][tex]\sf 17x+3x=3000 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 20x=3000 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {3000}{20}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=150 [/tex]

500 more fans arrived

Now the new ratio=

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {3150}{450}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {1575}{225}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {315}{45}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {63}{9}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf {\dfrac {7}{1}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 7:1 [/tex]

[tex]\therefore[/tex]New ratio of fans to staff is 7:1.

Answer:

8,030.4

Step-by-step explanation:

Answer:

$287.04

Step-by-step explanation:

add 39 and 9 multiply the sum by $23.90 and then multiply by two and boom, $287.04

Answer:

1- Scalene triangle

2- Equilateral triangle

3- Isosceles triangle

4- Equilateral triangle

Here's the explanation if you need it :

For a scalene triangle, all the sides are different whereas an Equilateral triangle has equal sides. And finally for an Isosceles triangle, two sides are equal.

Answer:

it will travel 50 km

Step-by-step explanation:

175/3.50 equals 50

Answer:

Step-by-step explanation:

3x + 3

6 + 2x

3x + 2x = 5x

3 + 6 = 9

5x + 9