Write and solve a real-world problem that involves finding the product of a fraction and mixed number.

Answer:

Your answer is d) x - 2 < 10

Step-by-step explanation:

The statement is if x = -16 which state is true.

Plug in x = - 16 into each of the multiple choice to see if its true.

a)

[tex]-x-2 < 10\\-(-16)-2 < 10\\16-2 < 10\\14 < 10[/tex]False

b)

[tex]-x-2 < -10\\-(-16)-2 < -10\\16-2 < -10\\14 < -10[/tex]False

c)

[tex]x-2 > 10\\(-16)-2 > 10\\-16-2 > 10\\-18 > 10[/tex]False

d)

[tex]x-2 < 10\\(-16)-2 < 10\\-16-2 < 10\\-18 < 10[/tex]True

Answer: 145

Step-by-step explanation: 180 is a staight line so 180-35=145 would make sense

Answer:

Nadia made a commission of 768 last week

The amount she made in 2011 is 40,045.824

Step-by-step explanation:

What is a commission?  

A commission is the fee got for the services, given by the percentage of the total worth.

If Nadia gets a 12% commission for $6400,

Commission = percentage ×  worth of stock

                    = 12% × 6400

                    = 768

There are 52.143 weeks per year.

The amount of commissions she made in 2011 is,

768 × 52.143 = 40,045.824

Hence, Nadia made a commission of $852 for $6400 worth of stocks. If she averages the same amount each week, Nadia made a commission of $40,045.824

Answer:

Step-by-step explanation:

3 and 5

Answer:

Step-by-step explanation:

You want the number of gallons of gas used by car 1 at 25 mpg and car 2 at 40 mpg when the total gas used for driving 2025 miles is 60 gallons.

Let x represent the number of gallons used by car 2 at 40 miles per gallon. Then the gas used by car 1 is (60 -x). The number of miles driven is the product of miles per gallon and gallons used.

  25(60 -x) +40x = 2025 . . . . total miles driven

Simplify the equation:

  1500 +15x = 2025

  15x = 525 . . . . . . . . . . subtract 1500

  x = 35 . . . . . . . . . . divide by 15

  60-x = 25 . . . . . gallons used by car 1

The first car used 25 gallons; the second car used 35 gallons.

__

Additional comment

The first car drove 25·25 = 625 miles; the second car drove 40·35 = 1400 miles.

Answer:

x=12.5% (hope this right if not I am so sorry)

Answer Explanation:

let x%= annual interest rate

deposit = $800

interest earning period = 24 months = 24/12 years

interest earned = $200

so $200 = $800 * x /100* 24/12

200 = 800 * x/100 * 2

solve for x,

x = 12.5% per annum

Answer: X = 12.5%

Step-by-step explanation:

Answer:

-6 ; 3

Step-by-step explanation:

Answer: hope this helps ♡

1.) x = -21

2.) x = 18

3.) x = 3

Step-by-step explanation:

(minus&minus = plus)       (minus&plus = minus)        (plus&minus = minus)

1.) 25 - 3x = 88

25 - 25 - 3x = 88 - 25

-3x = 63

-3x ÷ 3 = 63 ÷ 3

-x = 21 → x = -21

2.) -11 = 7 - x

-11 - 7 = 7 -7 -x

-18 = -x

18 = x → x = 18

3.) 95 = -4 + 33x​

95 + 4 = -4 + 4 + 33x

99 = 33x

99 ÷ 33 = 33x ÷ 33

3 = x → x = 3

[tex] \text{1 ] 25 - 3x = 88 }[/tex]

[tex] \rm{↣25 - 3x = 88} \\ \rm↣- 3x= 88 - 25 \\ \rm↣- 3x = 63 \\ \rm↣x = \cancel \frac{63}{ - 3} \\ \underline{ \underline{\rm ↣\purple{ \: x = -21 \: }}}[/tex]

[tex] \: [/tex]

_________

[tex] \text{2 ] -11 = 7 - x }[/tex]

[tex] \rm \: ↣-11 = 7 - x \\ \rm↣ -11 - 7 = -x \\ \rm↣ \cancel- 18 = \cancel -x\\\underline{ \underline{ \rm↣ \pink{x = 18}}}[/tex]

[tex] \: [/tex]

_________

[tex] \text { 3 ] 95 = -4 + 33x }[/tex]

[tex] \rm \: ↣ 95 = -4 + 33x \\ \rm↣ 95 + 4 = 33x \\ \rm↣ 99 = 33x \\ \rm ↣ \cancel \frac{99}{33} = x \\ \rm ↣3 = x \\ \underline{ \underline{\rm \color{hotpink}↣x = 3}}[/tex]

[tex] \: [/tex]

━━━━━━━━━━━━━━━━━━━━━━━

hope it helps:)

Answer:

Step-by-step explanation:

To represent the solution set of the inequality w divided by 7 > 38 on a number line, we first need to isolate the variable w:

w/7 > 38

w > 7 x 38

w > 266

This means that any value of w greater than 266 satisfies the inequality.

We can represent this on a number line by marking a closed circle at 266 (since the inequality is not inclusive of this value), and drawing an arrow to the right to indicate all values greater than 266:

<--o======(266)---------------->

This represents the solution set of w/7 > 38.

Answer:

811

explanation.

142=−953−142+953=−953+953

Answer:this question does not make sense to fix it and ask again

Step-by-step explanation:

Answer:

-34.5 > x

Step-by-step explanation:

Answer: the second one.

Step-by-step explanation:

it means any number greater than or equal to 11. so it would be a closed circle going towards any number greater than 11 :)

Answer: 2

Step-by-step explanation:

Answer:

1187.522 square inches

Step-by-step explanation:

I used a calculator (below, using desmos's graphing calculator) and input the equations with the variables. r is  used for circle radius (7 in) and h for height (20 in).

Let me know if this helped by rating, hitting thanks/brainliest! If not, please comment and I'll get back to you ASAP.

Shakes are 2,8,24 mice are 5,20,60

the equivalente are 2:5, 8:20 and 24:60

Answer:

D

Step-by-step explanation:

Answer:

I'm getting 140, though

Step-by-step explanation:

120 i think

Answer:

B. 8 dozen

Step-by-step explanation:

Let r = number of dozens of roses.

Let c = number of dozens of carnations.

c + r = 18

9c + 16r = 218

-9c - 9r = -162

9c + 16r = 218

        7r = 56

r = 8

Answer: B. 8 dozen

Answer: Its 8 dozen

Step-by-step explanation: 1. you multiply 8 times 16 and you get $128

2. you then multiply the remaining carnations by 9.    9 times 10 is $90

3. $128 + $90 is $218

Answer:

duh

Step-by-step explanation:

-0.1 is greater than -0.2

Answer:-0.2 > -0.1

Step-by-step explanation:-0.2 > -0.1

Answer:

C    y = 5/8 x

Step-by-step explanation:

y = kx

5 = k × 8

k = 5/8

y = (5/8)x

Answer:1. The measure of ∠WOV is 60°. You would use complementary angles that are adjacent (∠WOV, and ∠XOW)

2. The measure of ∠YOZ is 60°. You would use the vertical angles that are non-adjacent (∠WOV, and ∠YOZ). These two angles are congruent so they would have the same measure. These angles combined also create supplementary angles

3. Another way to find the measure of ∠YOZ would be to make/write an equation and solve for x. For example, (3x+30)°=60°. x would equal 10 because 10x3=30+30=60°

Step-by-step explanation:

1. Since a complementary angle would equal 90°, simply subtract 30° from 90° resulting in 60°.

2. Because vertical angles are congruent and (∠WOV, and ∠YOZ) are a pair of them, they equal the same as each other so they're both 60°.

3. You can make any equation with x included as long as it equals 60° mine was just an example you can make your own like 10x+10=60 or 4x+20=60. Also to create your equation you also need to use the angle fact of the vertical angles

Answer: Volume ≈ 56.55

Step-by-step explanation:

56.54867 is the answer, but I rounded it. I hope this helped! :)

Answer:

18π cubic inches

Step-by-step explanation:

First, we need to find the radius of the cone, which is half of the diameter.

radius = diameter/2 = 6/2 = 3 inches

The formula for the volume of a cone is:

V = 1/3 × π × r^2 × h

where r is the radius of the base of the cone, and h is the height of the cone.

Substituting the values we get:

V = 1/3 × π × 3^2 × 6

V = 1/3 × π × 9 × 6

V = π × 18

Hello,

It's easy, you can use the multiply, so you must have 5 tickets for getting $12.50 so here's the equation : 2.50 x 5 = 12.50.

PS : Sorry about my english, don't hesitate to ask me again.

Answer:

[tex]\boxed{\mathtt{Volume=33.55m^{3}}}[/tex]

Step-by-step explanation:

[tex]\textsf{For this problem, we are asked to find the Volume of a Triangular Prism.}[/tex]

[tex]\large\underline{\textsf{What is Volume?}}[/tex]

[tex]\textsf{Volume is the amount of space a figure occupies. Volume is measured in Cubic units.}[/tex]

[tex]\large\underline{\textsf{We are Given;}}[/tex]

[tex]\textsf{The Height is 6.1m. Keep in mind that the Height is the Perpendicular Distance}[/tex]

[tex]\textsf{between 2 bases.}[/tex]

[tex]\textsf{The base is; (4.4 x 2.5).}[/tex]

[tex]\textsf{The Height of the Triangle is 2.5m.}[/tex]

[tex]\large\underline{\textsf{Necessary Formulas;}}[/tex]

[tex]\mathtt{Volume=(Base) \times Height}[/tex]

[tex]\mathtt{Area = \frac{1}{2} (Base \times Height)}[/tex]

[tex]\large\underline{\textsf{For this Problem;}}[/tex]

[tex]\mathtt{Volume=(Triangles' \ Area) \times Height}[/tex]

[tex]\large\underline{\textsf{The area of a Triangle is;}}[/tex]

[tex]\mathtt{Area = \frac{1}{2} (Base \times Height)}[/tex]

[tex]\textsf{Find the area of the base first.}[/tex]

[tex]\large\underline{\textsf{Substitute;}}[/tex]

[tex]\mathtt{Area = \frac{1}{2} (4.4 \times 2.5)}[/tex]

[tex]\boxed{\mathtt{Area = 5.5m^{2}.}}[/tex]

[tex]\textsf{We know the Base, now let's find the volume of the figure.}[/tex]

[tex]\large\underline{\textsf{Substitute;}}[/tex]

[tex]\mathtt{Volume=5.5 \times 6.1}[/tex]

[tex]\boxed{\mathtt{Volume=33.55m^{3}}}[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{Find the \boxed{\bf volume} of a triangular prism is:}[/tex]

[tex]\mathsf{\dfrac{1}{2}(\boxed{\bf b}ase\times\boxed{\bf h}eight\times\boxed{\bf l}ength) = \boxed{\bf v}olume}[/tex]

[tex]\huge\textsf{Your \boxed{\bf equation} should look like:}[/tex]

[tex]\mathsf{volume = \dfrac{1}{2}(4.4\ m \times 2.5\ m\times 6.1\ m)}[/tex]

[tex]\huge\textsf{\boxed{\bf Step-by-step} explanation can be:}[/tex]

[tex]\mathsf{volume = \dfrac{1}{2}(4.4\ m \times 2.5\ m\times 6.1\ m)}[/tex]

[tex]\mathsf{volume = \dfrac{1}{2}\times 4.4\ m \times 2.5\ m\times 6.1\ m}[/tex]

[tex]\mathsf{volume = 0.5\times 4.4\ m \times 2.5\ m\times 6.1\ m}[/tex]

[tex]\mathsf{volume = 2.2\ m\times 15.25\ m}[/tex]

[tex]\mathsf{volume = 33.55}[/tex]

[tex]\huge\textsf{Therefore your \boxed{\bf answer} should be:}[/tex]

[tex]\huge\boxed{\mathsf{volume = 33.55m^2}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:20

Step-by-step explanation:

solve for y:
y=180-125

Y=55

Solve for x:

x=180-(105+55)

x=20

Answer:

All 3 angles ultimately have to equal 180.

We have 1 angle known which is 105.

The other number given is 125 and the angle right next to it added with 125 should also equal 180.

180-125=55

Second angle is 55

Add the two angles known,

55+105=160

180-160= 20

x= 20

Check:

105+55+20=180 so its true

Step-by-step explanation:

Brainliest pls^^

Answer:

2x+6-6x-18

-4x-12

Step-by-step explanation:

Your first distributing then your combining like terms,finally you cannot evaluate the answer anymore.

Answer:64

Step-by-step explanation:

it means you should mutliply 4 with itself 3 times:

4*4*4=64

Answer:

64

Step-by-step explanation:

4^3 = 4*4*4=64