How many solutions does the equation −5a + 2 = 7 - 5a have?

Answer:

x-3>15

x>18

Step-by-step explanation:

usually its better to read it from right to left, more than 15 tells you its gonna be >. then you see 3 less than x, which is x-3. Then solve as if the > was an equal sign

x-3>15

+3  +3

x>18

The inequality representing 'Three less than a number x is more than 15' is x - 3 > 15. Solving this, we get x > 18. Hence, x should be greater than 18.

The word sentence given is: 'Three less than a number x is more than 15'. To write this as an inequality, we start by identifying the mathematical phrase for 'Three less than a number x', which is 'x - 3'.

The phrase 'is more than' translates to the inequality symbol '>'.

Therefore, we set up the inequality as follows:

x - 3 > 15

Next, we solve the inequality step-by-step:

So, the solution to the inequality is x > 18.

In summary, when converting word sentences to inequalities, ensure you accurately translate the phrases and solve them step-by-step to find the solution.

Answer:

I believe the answer is 4.71 ft.

Step-by-step explanation:

Find the perimeter of the whole circle (P=pi*diameter)

Then divide by 2.

Hope this helped!!  :)

Answer:

see below

Step-by-step explanation:

We need to find the diameter of the square

We can find this using the Pythagorean theorem

a^2+b^2 = c^2  where the legs are 7 and 7 and the diameter is c

7^2 +7^2 = c^2

49+49 = c^2

98 = c^2

Taking the square root of each side

sqrt(98) = sqrt(c^2)

9.899494937 = c

Since 9.9 is less than 11 which is the diameter of the circle it will never touch the circle.

Since the longest part of the square is less than the diameter of the circle, the square will fit  inside the circle without touching

Answer:

Diagonal < Diameter

Step-by-step explanation:

The square will fit inside without touching if the diagonal length is less than the diameter

Diagonal = sqrt(7² + 7²)

7sqrt(2)

Diameter = 11

7sqrt(2) < 11

Because

(7sqrt(2))² < 11²

98 < 121

Step-by-step explanation:

[tex] \frac{8 - 6}{j - k} = \frac{2}{2 - 3} = \frac{2}{ - 1} = - 2 \\ [/tex]

Answer:

A. x=18

Step-by-step explanation:

To solve this, we need to isolate the variable, x

-x/-3=6

Multiply both sides of the equation by -3

-3*-x/-3=6*-3

-x=-18

Divide both sides of the equation by -1

x=18

So, x=18, or choice A

Answer:

x = 5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 10[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 5[tex]\sqrt{3}[/tex]

Answer:

c

Step-by-step explanation:

Jordan's monthly mortgage payment will be $805.23.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

To calculate Jordan's monthly mortgage payment, we can use the formula for a fixed-payment loan:

M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1 ]

where:

M = monthly mortgage payment

P = the principal, which is the amount borrowed

i = the monthly interest rate, which is the annual interest rate divided by 12

n = the number of monthly payments, which is the loan term in years multiplied by 12

In this case,

the principal (P) is $150,000,

the annual interest rate is 5%,

the loan term is 30 years,

and the monthly interest rate (i) can be calculated as:

i = 5% / 12 = 0.00417

n = 30 years * 12 months/year = 360 months

Substituting these values into the formula, we get:

M = 150000 [ 0.00417(1 + 0.00417)³⁶⁰] / [ (1 + 0.00417)³⁶⁰ – 1 ]

Simplifying this expression, we get:

M = $805.23

Therefore, Jordan's monthly mortgage payment will be $805.23.

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Answer:

V =41.41³

A = 94.41²

----

V =225.16³

SA =283.25²

----

V = 64³

SA =113.32²

----

V =433.33³

SA = 378.57²

Step-by-step explanation:

Picture 2 = a = 1/2 base = 3.5 x 3.5 = 12.25  b= 5 x 5 = 25

c²= a² + b² = 3.5² + 5²

c ²= √12.25 + √25

c ²= √ 37.5 = 6.12372435696

c ² = 6.1237   missing side

Picture 1 + 2  formula SA = bh + (s1 + s2 + s3)H

V =  V= 1/2 b x h  h x SA

Picture 3 + 4  formula SA= a²+ 2a   a² / 4 + h²    V= a²  h/3

Answer:

d. 7.3

Step-by-step explanation:

-16-10.2g = -14.7g + 16.85

4.5g = 32.85

g = 7.3

The solution for the equation -16 - 10.2g = -14.7g + 16.85 is g = 7.3. You can verify it by substituting the solution back into the original equation.

To solve the given equation, -16 - 10.2g = -14.7g + 16.85, we must first isolate the variable, g, by moving all terms involving g to one side of the equation and constant terms to the other side. Add 10.2g to both sides of the equation, giving,  -16 = -4.5g + 16.85. To further isolate g, subtract 16.85 from both sides resulting in -32.85 = -4.5g. Finally, divide by -4.5 to solve for g. Thus, g = -32.85 / -4.5 = 7.3. We verify our solution by substituting 7.3 back into the original equation and confirming that the equality holds true.

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Answer:

$3.00/ gallon

Step-by-step explanation:

Take the amount paid  and divide by the number of gallons

We are estimating so round 14.5 gallons to 15

$45/15 gallons

$3.00/ gallon

Answer:

≈ 3

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.

My answer:

The median number is the middle value of the dot plots

=> the median number is: 28

=> the median number is: 18

=> The difference between the median number of hummingbirds spotted per day at each feeder is: 28 -18 =10 and it is = 10 / 3.168

≈ 3 times  the variability

Answer:

A & E

Step-by-step explanation:

An alternate exterior angle pair would have to be on the outside and be on opposite sides of the same line (like 5 and 11).

Angles 5 and 11, and angles 4 and 6 are pairs of alternate exterior angles.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
Alternate exterior angles are angles that are located on opposite sides of the transversal (a line that intersects two other lines) and outside of the two lines being intersected. They are equal in measure.

Thus, Angles 5 and 11, and angles 4 and 6 are pairs of alternate exterior angles.

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Answer: without parentheses it'll be : -2x square 2 2x square 2 9x-2!

Step-by-step explanation: well to start with,Nothing will change when you solve it just rember the PEMDAS and you'll be fine! Good luck :3

Answer:

Option B

Step-by-step explanation:

Diameter= 16cm

radius= 8cm

height = 3cm

[tex]volume = \pi {r}^{2} h[/tex]

[tex] =3.14 {(8)}^{2} \times 3[/tex]

[tex] = 3.14 \times 64 \times 3[/tex]

[tex] = 602.88 {cm}^{3} [/tex]

[tex] = 602.9 {cm}^{3} [/tex]

Step-by-step explanation:

Given

slope (m) = 3

Point

( x1 , y1) = ( 4 , 2)

The equation of line is

y - y1 = m( x - x1)

y - 2 = 3( x - 4)

y - 2 = 3x - 12

3x - y - 12 + 2= 0

3x - y - 10 = 0

Which is the required equation

Hope it will help you :)

Answer:

Blank 1: -6

Step-by-step explanation:

Because if you subtract 11-17 you get: -6

Answer:

a

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x )

Thus

K(- 2, - 4 ) → K'(- 4, - 2 )

L(6, - 4 ) → L'(- 4, 6 )

M(0, - 5 ) → M'(- 5, 0 )

Answer:

a) 19

b) 3

Step-by-step explanation:

They are adding 3 sticks each time so n=3

I hope this helps

Answer:

1.85

Step-by-step explanation:hope this helps god bless

Answer:

216

Step-by-step explanation:

Answer:

12 units²

Step-by-step explanation:

Area = ½ × base × height

= ½ × 4 × 6

= 12 units²

y > -(1/2) x + 5   and   y ≤ 3x - 2

(5,3):

3 >? -(1/2)(5) + 5  = 5-5/2 = 5/2; that's true

3 ≤ 3(5) - 2 = 13; that's true

(4,3)

3 >? -(1/2)4 +5 = 5 - 2 = 3; that's false

Answer: 2)    (4,3)

Let's check the rest.

(3,4)

4 >? -(1/2)(3) + 5 = 5 - 3/2 = 7/2, true

4 ≤ 3(3) - 2 = 7, true

(4,4)

4 >? -(1/2)(4) + 5 = 5 - 2= 3, true

4 ≤ 3(4) - 2 = 10, true

Answer seems right.

Answer:

12 to 27

a long dividing the box will go at 23.5

11 to 12

the right whisker will go from 27 to 33

Step-by-step explanation: ^^^

The given sections of the box plot will be located, at the following places:

The box will go from 12 to 27 (IQR).

A line dividing the box will go at 23.5 (median).

The left whisker will go from 11 to 12.

The right whisker will go from 27 to 33 (see box plot in the image attached below).

A boxplot shows the following values:

Therefore, the given sections of the box plot will be located, at the following places:

The box will go from 12 to 27 (IQR).

A line dividing the box will go at 23.5 (median).

The left whisker will go from 11 to 12.

The right whisker will go from 27 to 33 (see box plot in the image attached below).

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Answer: 13:65, 8:40, 18:90

Answer:

First of all that bear is adorable second 1:3, 10:30, and 15:45

Step-by-step explanation:

To do this you have to figure out if the ratios equal the fraction 1/3 which is the fraction for the ratio 5:15 all of those equal 1/3

I know I didn't explain that well but I still hope that this helps you :)

Answer:

d

Step-by-step explanation:

trust me

Answer:

B)  1.

Step-by-step explanation:

Prob(red) = 5/10

Prob(green) = 3/10

Prob(yellow) = 2/10

The sum = 5/10 + 3/10 + 2/10 = 10/10

= 1.

Answer:

32,800 litres

Step-by-step explanation:

V=l*w*h

V=4*2*4.8

V=38.4 cubic meters

38.4 cubic meter -> 38,400 litres

38,400/4=9,600

9,600*3=28,800

28,800+4,000=32,800