Which number line shows the solution to 1/4x + 1 <5?

Answer:

y=6/5x+8/5

Step-by-step explanation:

find the slope (6/5) you can find this by making a slope triangle between the 2 points.

now, plug in a point to y=6/5x+b

-2=6/5(-3)+b

-2=-18/5+b

-10/5=-18/5+b

b=8/5 (y-int)

so y=6/5x+8/5

Answer:

1080

Step-by-step explanation:

72 = 2 × 2 × 2 × 3 × 3

216 = 2 × 2 × 2 × 3 × 3 × 3

270 = 2 × 3 × 3 × 3 × 5

LCM(72, 216, 270)

= 2 × 2 × 2 × 3 × 3 × 3 × 5

= 1080

==========================================

Explanation:

Write out the prime factorization of each value. A factor tree may help.

The unique primes that show up are: 2, 3, 5

The LCM is 2^3*3^3*5^1 = 8*27*5 = 1080

Answer:

The center of dilation of ABCD to EFGH is (0, 0), and the scale factor is 4/3

Answer:

D. 2 1/4

Step-by-step explanation:

3/4 inch = 8 feet

24 divided by 8 = 3

(meaning you would multiply eight three times in order to get to 24)

So....

3/4 x 3 = 2 1/4

Answer: 2 1/4

Hope this helps :)

Answer: D - 2 1/4”

Step-by-step explanation:

8 feet goes into 24 feet 3 times

Eg. 24/8 = 3

If 3/4” = 8 feet, then 3 x 3/4” = 24 feet

3 x 3/4” = 2 1/4”

Answer:

$3,992.50

Step-by-step explanation:

According to the problem, computation of the given data are as follows,

Credit line on credit card = $8,000

Balance Payment = $2,500

Credit = $1,500

New Purchases = $3,000

Finance Charges = $7.50

New Balance = $4,007.50

So we can calculate the  available credit on card by using following formula,

Available credit on card = Credit line on credit card -New balance

By putting the value, we get

Available credit on card = $8,000 - $4,007.50

= $3,992.50

Answer: 62cm^2

Step-by-step explanation: 70-8=62

Answer:

[tex] \boxed{\begin{array}{ccc} m = {a}^{2} \\ \hline n = {b}^{2} \\ \hline p = 2ab \\ \hline q = \cos(C) \end{array}}[/tex]

Step-by-step explanation:

recall the formula for law of cosine

[tex] \rm \displaystyle {c}^{} =\sqrt{ {a}^{2} + {b}^{2} - 2ab \cos(C) }[/tex]

thus we acquire

Answer:

Solution given:

m=a²

n=b²

p=2ab

q=Cos(C)

law of cosine

[tex] c = \sqrt{a²+b²−2abcos(C)} [/tex]

a) 10 - 1/4x = 7

   1/4x = 7 + 10

           = 17

   x = 17/ (1/4)

b) 3 (x + 8 ) = 21

   x + 8 = 21/3

            = 7

   x = 7 - 8

      = -1

Answer:

24 ft

Step-by-step explanation:

Use proportions! The old tent has sides of 10ft, and a base of 15ft. The new tent has sides of 16ft and a base of ____ ft.

So, 10/15 = 16/___. Cross multiple and you get 24ft!

Answer:

$128.81 per week

$515.24 per month

$6182.88 per year

Step-by-step explanation:

[tex]\frac{11.71}{y} :\frac{1}{11}[/tex]

y = 128.81

[tex]\frac{128.81}{y} :\frac{1}{4}[/tex]

y = 515.24

[tex]\frac{515.24}{y}: \frac{1}{12}[/tex]

y = 6182.88

Answer: [tex]\$2297.47[/tex]

Step-by-step explanation:

Given

Rate of interest [tex]r=4.5\%[/tex]

time period [tex]t=10\ year[/tex]

Amount [tex]A=\$3567.91[/tex]

Amount in compound interest is given by

[tex]\Rightarrow A=P[1+r\%]^t[/tex]

where, [tex]P=\text{Principal}[/tex]

Insert the values

[tex]\Rightarrow 3567.91=P[1+0.045]^{10}\\\\\Rightarrow P=\dfrac{3567.91}{1.5529}\\\\\Rightarrow P=\$2297.47[/tex]

So, Praise starts with [tex]\$2297.47[/tex]

Answer:

12

Step-by-step explanation:

First, you will have to use trigonometry. Since the side of the triangleis the opposite of the angle 53 and the hypotenuse, you will use sin.

Sin 53 degrees = opposite side / hypotenuse side.

The opposite side is x and the hypotenuse side equals 15.

sin53= x/15

15 ( sin 53 ) =x

x= 11.97953

Round

x=12

Answer:

2

Step-by-step explanation:

sin 17° = x/7

(sin 17°) 7 = (x/7)7

x = sin 17° (7)

x = 0.292371704722737 (7)

x = 2.046601933059157

x ≈ 2

Answer:

3360

bc

48 cups x 70 boxes = 3360

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

repeat

In which number does 7 represent 10 times the value that it represents in 167 300.

In the given number, we can observe that, the face value of digit 7 is on 'Thousands place'. If multiply 7, 10 times, the face value of digit 7 will shift to it's Left Side by 1 digit, since, this condition is seen in the 4th option provided, hence, option 4. 572,000 is the correct answer.

Option 4. 572,000 is the correct answer

Answer:

5x+7

Step-by-step explanation:

3x+3+2x+4

3x+2x+3+4

5x+7

plz mark as brainliest

Answer:

1,024 ÷ by how many number of rounds= x

Answer:

1,024(0.50)^x That is the answer......................................

Answer:

x = 3

Step-by-step explanation:

Answer:

The answer is x = 3

Answer:

480 cm³

Step-by-step explanation:

Formula for Pyramid volume = (l*w*x) / 3

we do 12 x 12 x 10 first =

12 x 12 = 144

144 x 10 = 1440

Then divide by 3

1440 / 3 = 480

units = cm³

Answer = 480 cm³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

1/2x^2

Step-by-step explanation:

f(x)=x^2 so g(x)=1/2x^2

if g(x)=x(x) then the answer is 1/2x^2

use desmos to help u select the correct graph

Answer: 33.3%

Step-by-step explanation: I did this on saavas. also for part b the answer is 32.5.

Answer:

Guys the answer is E. I just took the test.

Step-by-step explanation:

Short answer: Look at the inequalities and plug in either 10 or 8 for m and then you're all set :)

Long Answer:So what you should do first is calculate how long she hikes for and how many mph. It says that she likes the hike for more than 4 hours but less than six. She also hikes at least 2 mph. So if you were ever in first grade you would know that she hikes for at least 5 hours. Now 5 x 2 is 10. Now you can either plug 8.0 into the inequalities or 10 but either way its going to be more than whatever number is first in the inequality but less than 12.

Answer:

E.

Step-by-step explanation:

Answer:

7 cups of flower.

Step-by-step explanation:

He made 7 loaves and each loaf calls for 1 cup of flour. 7 times 1=7...I feel like this is so easy.

Answer:

∑j=15(5j−12)

Step-by-step explanation:

For j = 1 up to j = 5

j = 1

(5j - 12) = (5(1) - 12) = 5 - 12 = - 7

j = 2

(5j - 12) = (5(2) - 12) = 10 - 12 = - 2

j = 3

(5j - 12) = (5(3) - 12) = 15 - 12 = 3

j = 4

(5j - 12) = (5(4) - 12) = 20 - 12 = 8

j = 5

(5j - 12) = (5(5) - 12) = 25 - 12 = 13

(-7 + (-2) + 3 + 8 + 13)

Answer:

(5j-12)

Step-by-step explanation:

Other person was right, took the test using the answer they gave.

Answer:

-6,3....................

Answer:

(-4,3)

Step-by-step explanation:

Answer:

3s + c = 38 3s + 2c = 52

Step-by-step explanation:

Answer: Senior Citizen Ticket = $8, Child Ticket = $12

Step-by-step explanation:

Let's use S for senior tickets, C for child tickets.

3S + 1C = 38

3S + 2C = 52

Find C in terms of S with the first equation:

C = 38 - 3S

Now substitute the above equation for C in our second equation to find S.

3S + 2(38 - 3S) = 52

3S + 76 - 6S = 52

-3S = -24

S = 8

Now plug this value for S back into the first equation:

3(8) + C = 38

C = 12

So S = $8 and C = $12

Answer:

True

Step-by-step explanation:

When sampling is done with replacement, then events are considered to be independent, meaning the result of the first pick will not change the probabilities for the second pick. Without replacement: When sampling is done without replacement, each member of a population may be chosen only once.