Toby picks a 4-digit number.
It is larger than 2999 and it is a multiple of 2.
How many different numbers could he have picked?

Answers

Answer 1

Let’s reduce this question into easier terminology.

The number is a multiple of 2, meaning it is an even number. It is larger than 2,999 and less than 10,000 (since it is a 4 digit number).

Thus, Toby could have picked any even number from 3000 to 9,999. So this question is asking how many even numbers (multiples of 2) are between 3000 and 9,999.

For every thousand, there are 1000/2 = 500 multiples of 2:

500 multiples between 3,000 and 3,999

500 multiples between 4,000 and 4,999

and so on until 9,999. So there are

7*500 = 3500 multiples of 2 in this range.

Toby could have picked 3500 possible numbers.


Related Questions

PLEASE HELP complete the construction a perpendicular line to segment AB through point P.

Answers

Answer:

.

Step-by-step explanation:

sorry i can't help

If ALTU ASBP
then TU = [?]
Enter the letters that belong in the
green box.
Enter

Answers

Answer:

BP

Step-by-step explanation:

the letters are congruent in order, so the last 2 letters of both sides are congruent

A city has 1,242 law enforcement officers in the police department. If the officers are divided equally into 18 groups, how many officers will be in each group?

Answers

Answer:

69

Step-by-step explanation:

1,242 ÷ 18 = 69

Since the problem says divided equally, you will need to divide the total number of officers into 18 groups.

-kiniwih426

Total Officers=1242Total groups=18

Members per group:-

[tex]\\ \sf\longmapsto \dfrac{1242}{18}[/tex]

[tex]\\ \sf\longmapsto 69[/tex]

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y= [tex]\frac{5}{6} x[/tex] + 4

Step-by-step explanation:

Pick two points: (-6,-10) and (0,4)

Then solve for m (slope): I picked (0,4)

[tex]m= \frac{4-(-1)}{0-(-6)} =\frac{5}{6}[/tex]

Then put in slope intercept form:

4= [tex]\frac{5}{6} (0)[/tex] + b

4=b

Then put in final form:

y= [tex]\frac{5}{6} x[/tex] + 4

Hope this helps!

Answer:

y=5/6x+4

Step-by-step explanation:

Is g correct? I need help in this

Answers

i did 14 times 4 % (.04) and i got 0.64
No the answer is F

4% of 16 is 0.64. Add that to 16 and you get 16.64, letter F.

can someone answer this​

Answers

Answer:

b.d-6 that's the correct answer

Answer:

it is a

Step-by-step explanation:

Take some time but answer correctly

Answers

Answer:

c) 2⁻⁹

Step-by-step explanation:

1) use negative power rule: [tex]x^{-a} =\frac{1}{x^{a} }[/tex]

1/2⁹

2) simplify ₂⁹ to 512

1/512 ( same as (8) ⁻3

Answer:

c

Step-by-step explanation:

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

note that 8 = 2³ , then

[tex](8)^{-3}[/tex]

= [tex](2^3)^{-3}[/tex]

= [tex]2^{3(-3)}[/tex]

= [tex]2^{-9}[/tex] → c

are two of the same looking triangle but different sizes mean they are congruent? ​

Answers

Answer:

No

Step-by-step explanation:

They are similar

Answer:

Congruent triangles Two or more triangles that have the same size and shape are called congruent triangles. The four triangles are congruent with each other regardless whether they are rotated or flipped. The congruence of two objects is often represented using the symbol

Step-by-step explanation:

State if the triangle are similar amd if they are, give the reasons AA SSS SAS

Answers

which triangles?

i see no triangles

try again bro

if i fill the 42 L tank in my car and take a 360km trip. If my car consumes gasoline at a rate of 8 L per 100km how muck farther can i go before i run out of gasoline.

Answers

Using the principle of proportional relationship, the 42 L of gas can go for a further 165 km

Consumption rate = 8L for 100 km

Km per Litre :

8L = 100km

1 L = m

8m = 100

m = (100 ÷ 8)

= 12.5 kilometer per Litre

Number of kilometers for 42 L

12.5 km = 1 L

m = 42 L

Cross multiply

m = 12.5 × 42

m = 525 km

The difference in the distance = 525 - 360 = 165 km

Therefore, the gas can go for a further 165 km

Learn more : https://brainly.com/question/18112348

Ms.Jensen surveyed her class and found that 2/3 of her class has a dog.Of those students who have a dog,1/4 also have a cat.What fraction of the students have both?

Sorry im confused:

Answers

Answer:

1/6

Step-by-step explanation:

2/3 of the class has a dog, and 1/4 of the class has a cat. This means that some people will have both a cat and a dog.

You have to find the fraction of students who have both, so you have to multiply 2/3 and 1/4, 2*1 = 2, and 3*4 = 12, so the fraction is 2/12.

2/12 can be simplified to 1/6.

So, the amount of students in the class that have both a cat and a dog are 1/6.

Answer:

The answer is 1/6.

Which equation represents the line with slope 1/4 that passes through (-4, 8)?
A
y = 1x + 7
B
y = -4x + 24
С
y = -4x – 8
D
y = 1x + 9

Answers

Answer

B DID THE TEST

Step-by-step explanation:

YOU WILL DO YOU GOOD LUCK

Solve for y in terms of v, w, x, and z.
wy=–zvx

Answers

Answer:

y = (-zvx)/w

........

Tony can cycle a distance of 9 5/6 in 3/5 hours. What is his unit rate?

Answers

Answer:

19.66

Step-by-step explanation:

9.83 / 0.5

19.66

Sorry if it is not correct but I think that this is the corrcet answer.

HELP PLEASE I NEED HOW TO DO IT AND THE ANSWER FAST PLEASE ​

Answers

Answer:

4

Step-by-step explanation:

factor the numerator and denominator and cancel the common factors

add 8 to m, multiply the result by 4, then add 3 to what you have

Answers

(8 + m)4 + 3

This is ur answer have a good day

Let f (x) represent a function.
Which descriptions match the given transformations?
Drag and drop the answers into the boxes.

Answers

f(x)−4 involves translating the graph of f(x) DOWN by 4 units.

4f(x) involves vertical stretching of the graph by a factor of 4.

Find the value of x. Then find the measure of each labeled angle.

Answers

Answer:

x = 114°

Step-by-step explanation:

x + (x - 48) = 180

2x = 228

x = 114

114 - 48 = 66

complete the following statements of congruence zyx

Answers

Answer:

cba

Step-by-step explanation:

yes correct answer x yimes h yomes z

One eight of a pizza pie is sold for 65 cent. How much will be received

Answers

Answer:

I don't know haha

Step-by-step explanation:

Salamat nalang sa points

Answer:

the whole pizza would cost $5.20

Step-by-step explanation:

1/8 = $0.65

8/8 = 1 = $5.20

0.65 × 8 = 5.2

is this what you mean??

3(x+1)=2(x-3) whats the answer

Answers

The answer is -9

I dont know the step-by-step used a calculator

Help me Plz :))
What are the dimensions of AB?

Answers

Answer:

c 2*3

Step-by-step explanation:

I think its correct

the graph of y=−3x+2

Answers

The attached image is the graph.

Answer:

The Graph Below

Step-by-step explanation:

You would start at 2 on the y-axis and going down 3 on the y-axis and move over 1 on the x-axis

I hope this helps

LOL LAST 1 IM SORRY AHHHH !!!!

Answers

Answer:

102

Step-by-step explanation:

Answer:

Fairly easy just 180-102-30= 48 degrees So since you know the third angle within that triangle just take 180 - 48 which gives you 132 degrees. 132 is the angle FGH.

Step-by-step explanation:

180-  102 - 30= 48 degrees

180 - 48 = 132 degrees

write an inequality whose solutions are represented by the shaded part of the graph​

Answers

Answer:

x > 3

Step-by-step explanation:

How to solve this question ????
Help me please

Answers

You make them to improper fractions then you find a greatest common factor and then go from there
7
-
38 I think I could be wronged

What is the answer for this question:12+2c+6d-8c+d

Answers

Answer:

12+10c+7d

Step-by-step explanation:

There is no possible way to really describe the value of the variables, so I simplified it.

(√5+1)²
guys pls help me

Answers

[tex]( \sqrt{5} + 1 {)}^{2} \\ calculate \\ \\ 5 + 2 \sqrt{5} + 1 \ \\ \\ = 6 + 2 \sqrt{5} \\ \\ in \: \: alternate \: \: form \: \\ \\ 10.47214 \\ \\ hope \: it \: \: helps \\ \\ [/tex]

Step-by-step explanation:

Here is your answer . The logic I have shared above to solve this equation

10, 8) and (-5, 8) What is the formula and slope for the points above?

Answers

Answer:

formula: (y_2-y_1)/(x_2-x_1)

slope: 0

Step-by-step explanation:

1. The formula to find the slope given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

2. (Solving)

[tex]\frac{8-8}{-5-10}[/tex] [tex]\frac{0}{-15}[/tex] [tex]0[/tex]

Therefore, the slope is 0.

In Triangle ABC with vertices A(-5,-4), B(3,-2), and C(-1,6), M is the midpoint of AB and N is the midpoint of BC. Show that MN = 1/2 AC. Provide your complete solutions and proofs in your paper homework and enter the numeric answers online

Answers

The midpoint of a line divides the line into equal segments.

See below for the proof of [tex]\mathbf{MN = \frac{1}{2}AC}[/tex]

The given parameters are:

[tex]\mathbf{A = (-5,-4)}[/tex]

[tex]\mathbf{B = (3,-2)}[/tex]

[tex]\mathbf{C = (-1,6)}[/tex]

The coordinates of M (midpoint of AB) are calculated as follows:

[tex]\mathbf{M = \frac{1}{2}(x_1 + x_2, y_1+y_2)}[/tex]

So, we have:

[tex]\mathbf{M = \frac{1}{2}(-5 + 3, -4-2)}[/tex]

[tex]\mathbf{M = \frac{1}{2}(-2, -6)}[/tex]

[tex]\mathbf{M = (-1, -3)}[/tex]

The coordinates of N (midpoint of BC) are calculated as follows:

[tex]\mathbf{N = \frac{1}{2}(x_1 + x_2, y_1+y_2)}[/tex]

So, we have:

[tex]\mathbf{N = \frac{1}{2}(3 - 1, -2 +6)}[/tex]

[tex]\mathbf{N = \frac{1}{2}(2, 4)}[/tex]

[tex]\mathbf{N = (1, 2)}[/tex]

Distance MN is:

[tex]\mathbf{MN = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]

So, we have:

[tex]\mathbf{MN = \sqrt{(-1 - 1)^2 + (-3 - 2)^2}}[/tex]

[tex]\mathbf{MN = \sqrt{29}}[/tex]

Distance AC is calculated as follows:

[tex]\mathbf{AC= \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]

So, we have:

[tex]\mathbf{AC= \sqrt{(-5 - -1)^2 + (-4 - 6)^2}}[/tex]

[tex]\mathbf{AC= \sqrt{116}}[/tex]

Split

[tex]\mathbf{AC= \sqrt{4 \times 29}}[/tex]

Take positive square root of 4

[tex]\mathbf{AC= 2\sqrt{29}}[/tex]

To prove that:

[tex]\mathbf{MN = \frac{1}{2}AC}[/tex]

We have:

[tex]\mathbf{\sqrt{29} = \frac{1}{2} \times 2\sqrt{29}}[/tex]

[tex]\mathbf{\sqrt{29} = \sqrt{29}}[/tex]

The above equation is true.

Hence. [tex]\mathbf{MN = \frac{1}{2}AC}[/tex]

Read more about midpoints and distance at:

https://brainly.com/question/11231122

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