Write the word sentence as an inequality. Then solve the inequality.

The quotient of a number x and 4 is at most 5.

An inequality is
.

The solution of this inequality is
.

Answer:

Step-by-step explanation:

Choose a random fraction less than 1. I will choose 1/4.

1/6 ÷ 1/4 = 1/6 × 4/1 = 4/6 = 2/3

2/3 > 1/6 so this example supports his claim.

Now chose a fraction greater than 1. I will choose 4/3

1/6 ÷ 4/3 = 1/6 * 3/4 = 3/24

3/24 < 1/6 so this contradicts his claim

Answer:

36 crickets per day

Step-by-step explanation:

Calculation for how many crickets do the lizards eat each day

 Using this formula

Numbers crickets eaten per day=Crickets per week/Numbers of days in a week

Let plug in the formula

Numbers crickets eaten per day=250 crickets per week/7days

Numbers crickets eaten per day=35.7

Numbers crickets eaten per day=36 crickets per day (Approximately)

Therefore the numbers of crickets that the lizards eat each day is 36 crickets per day

Answer:

Left 2 and down 1

Step-by-step explanation:

Answer:

The slope of the line is 3.

Step-by-step explanation:

Given function;

x(t) = -t² + 5t

y(t) = 3t, when t = 2

[tex]\frac{dx}{dt} = -2t + 5[/tex]

[tex]\frac{dy}{dt} = 3[/tex]

[tex]\frac{dy}{dx}= \frac{dy}{dt} \ \times \ \frac{1}{\frac{dx}{dt} } \\\\\frac{dy}{dx}= 3 \ \times \frac{1}{-2t + 5} \\\\\frac{dy}{dx}= \frac{3}{-2t + 5}[/tex]

t = 2

[tex]Then, \ \frac{dy}{dx}= \frac{3}{-2(2) + 5} \\\\\frac{dy}{dx}= \frac{3}{-4 + 5} \\\\\frac{dy}{dx}= \frac{3}{1} \\\\\frac{dy}{dx}= 3[/tex]

Therefore, the slope of the line is 3.

Answer:

To fill out a function's sign chart, you will need to test numbers before and after each of the function's zeros and asymptotes.

Hope this helps:) Happy New Year!

Answer:

E1800.00

Step-by-step explanation:

1584 and x. Change is 12.

x-1584/x=0.12

x-1584=0.12x

x-0.12x=1584

0.88x=1584

x=1584/0.88

x=1800.

Hope this helps plz hit the crown :D

Answer:

S (1 , 0)

T (7 , 1)

Step-by-step explanation:

If QRST is a parallelogram, P is the mid point of segment QS and segment RT.

Basic formula for mid-point of segment: ((x1+x2)/2 , (y1+y2)/2)

T (x₁ , y₁)    S (x₂ , y₂)   P (2 , 3)    Q (3 , 6)   R (-3 , 5)

2 = (x₁ + (-3))/2         x₁ = 7

3 = (y₁ + 5)/2            y₁ = 1

T (7 , 1)

2 = (x₂ + 3))/2         x₂ = 1

3 = (y₂ + 6)/2           y₂ = 0

S (1 , 0)

Answer:

Step-by-step explanation:

0.04

All the numbers that show 4% as an equivalent fraction, decimal or percent from the listed options are:

Percent counts the number compared to 100.

So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get:

For each 1, there are a/100 parts.

Thus, 50% = 50/100 = 0.50 (in decimal)

For this case, the percent we have is 4%

That shows that for each 100 items, we have 4 of them. This can be written in fraction as 4/100

Solving this division, we get the result in decimal as 0.04

Thus, all the numbers that show 4% as an equivalent fraction, decimal or percent from the listed options are:

Learn more about fractions and percent here:

https://brainly.com/question/372193

Answer:

9/20

Step-by-step explanation:

12 * 15

---------

25 x 16

180/400

To reduce, find the greatest common factor of 180 and 400.

180 / 20

-----------

400 / 20

Your answer would simplify to 9/20.

Answer:

Joshua worked 4 hours and luke worked 7

Step-by-step explanation:

25x + 35x +105 = 345

60x = 345 - 105

60x = 240

x = 240/60

x = 4 hours

Answer:

IM NOT ABLE SEE THE QUESTION

Step-by-step explanation:

PLEASE TYPE AND SEND IT

Answer:

jwjwjowowowowowoowow

Answer:

0.4 = 2/5

0.6 =3/5

Step-by-step explanation:

Answer:

0.4 is 2/5 as a fracture

0.6 is 3/5 as a fraction

Answer:

r = 8.2

Step-by-step explanation:

5r – 10 = –51

5r = –41

r = 8.2

Answer: 40 burgers

Step-by-step explanation: Since we know the ratio is 2:3, and an equal ratio for the first number is 16, we can multiply both sides by 8, (2 x 8 = 16, 3 x 8 = 24) and add them together to get 40.

Answer:

x=3 , y=-1

Step-by-step explanation:

9x-13=6x-4

9x-6x=13-4

3x=9

x=3

9y+16=4y+11

9y-4y=11-16

5y=-5

y=-1

Answer:

(3,-7)

Step-by-step explanation:

i’ll explain in the comments :)

Answer:

D

Picture proof, got 0 out of 3 RIP

Answer:

1. LCM of 7, 10 and 3 = 210

2. LCM of 15, 3 and 2 = 30

3. LCM of 7, 3 and 5 = 105

4. LCM of 4 and 7 = 28

Step-by-step explanation:

Solving (1): LCM of 7, 10 and 3

First, factorize each of the numbers:

[tex]7 = 1 * 7[/tex]

[tex]10 = 1 * 2 * 5[/tex]

[tex]3 = 1 * 3[/tex]

Multiply the factors the highest number of times it occur in any of the terms

[tex]LCM = 1 * 2 * 3 * 5 * 7[/tex]

[tex]LCM = 210[/tex]

Solving (2): LCM of 15, 3 and 2

First, factorize each of the numbers:

[tex]15 =1 * 3 * 5[/tex]

[tex]3 = 1 * 3[/tex]

[tex]2 = 1 * 2[/tex]

Multiply the factors the highest number of times it occur in any of the terms

[tex]LCM = 1 * 2 * 3 * 5[/tex]

[tex]LCM = 30[/tex]

Solving (3): LCM of 7, 3 and 5

First, factorize each of the numbers:

[tex]7 = 1 * 7[/tex]

[tex]3 = 1 * 3[/tex]

[tex]5 = 1 * 5[/tex]

Multiply the factors the highest number of times it occur in any of the terms

[tex]LCM = 1 * 3 * 5 * 7[/tex]

[tex]LCM = 105[/tex]

Solving (4): LCM of 4 and 7

First, factorize each of the numbers:

[tex]4 = 1 * 4[/tex]

[tex]7 = 1 * 7[/tex]

Multiply the factors the highest number of times it occur in any of the terms

[tex]LCM = 1 * 4 * 7[/tex]

[tex]LCM = 28[/tex]

Answer: 28

Step-by-step explanation:

ANSWER

Given,

AB=5 cm,BC=12 cm

So, AC=

5

2

+12

2

=13

We know that

x=

2

AB+BC−AC

x=

2

5+12−13

x=

2

4

x=2 cm

Hence, this is the answer.

Answer:

x = 68

Step-by-step explanation:

The consecutive angles of a parallelogram are supplementary, sum to 180° , then

69 + 43 + x = 180 , that is

112 + x = 180 ( subtract 112 from both sides )

x = 68

Answer:

b I'm sure byyyyyyyyyyyyy

Answer:

$16.80

Step-by-step explanation:

0.30 × 24 = 7.20

24 - 7.20 = $16.80

Hope that helps.

Answer:

From the most right side it's 2^0 which is 1. The other ones are 2^4 and 2^3, So 16+8+1=25

Answer:

Step-by-step explanation:

Since both equations equals y, then both equations equal each other.

3x - 1 = 2x + 2

Subtract 2x from both sides

x - 1 = 2

Add 1 to both sides

x = 3

Plug x = 3 into one equation(doesn't matter which)

y = 3x - 1

y = 3(3) - 1

y = 9 - 1

y = 8

Answer:

[tex]x=3[/tex]

[tex]y=8[/tex]

Step-by-step explanation:

From these two equations, we can substitute the first equation into the second equation (or the other way round). This gives us:

[tex]3x-1=2x+2[/tex]

[tex]3x-2x=2+1[/tex] (minus [tex]2x[/tex] and add [tex]1[/tex] on both sides)

[tex]x=3[/tex]

To solve for [tex]y[/tex], we can use substitution again:

[tex]y = 3(3)-1[/tex] (using the first equation given)

[tex]y=8[/tex]

Hope this helps :)

1.25 x 1.75

(20/16) x (28/ 16)

The required blueprint dimensions of a room are given as 1.25 in.  × 1.75 in. Option C is correct.

As mentioned in the question,
The scale factor of 1 inch = 16 feet, dimensions of a room that is 20 feet * 28 feet.
Dimensions of a room on a blueprint is to be determined.

The scale factor is defined as the ratio of the modified change in length to the original length.

Here,
1 inch = 16 feet
1 feet = 1/16 inch,
Now,
Scaled dimensions,
= 20 (1/16) inch × 28 (1/16) inch
= 1.25 in × 1.75 in

Thus, The required blueprint dimensions of a room are given as 1.25 in.  × 1.75 in. Option C is correct.

Learn more about Scale factors here:

https://brainly.com/question/22312172

#SPJ2

Answer:

for y=x-1 y=-1 and for y=x2 y=0

Step-by-step explanation:

to find the y intercept substitute x=0 so you have your answer y=-1 and y=0  

Answer:

13/3

7/5

11/3

33/8

17/10

11/2

19/8

I hope you ain't get hit, if so, find another family member to stay with :/

Answer:

-4x^2 - 8......input (x) = 2

Step-by-step explanation:

-4(2^2) - 8 =

-4(4) - 8 =

-16 - 8 =

- 24 <==

i hope this helps you :)

Answer:

I know one of the statements will he that angle 1 is congruent to angle 2. the reason to that will be that they are vertical angles.

Answer: if the exponent is negative, you just divide the bottom number by the exponent as a positive number