Can a triangle have 3 acute angles

Answer:

well now he has one of the things that he wanted and he has some money in the bank to build up interest or to have for an emergency. it was also good because it was the cheaper of the two items.

have a good day!

Answer:  

Amount of Bonus received by Lawrence = $1500

Cost Price of the computer = $700

Cost price of a home theater = $1200

Now, Lawrence decides to buy a computer.

And we need to find the benefit and the opportunity cost of his purchase.

Since, The cost price of the computer is less than that of the bonus received by him.

So, He will be in benefit for sure.

Opportunity cost = 1500 - 700

                              = $800

Answer:

Based on the questions asked on the screen shot of the problem, the range of time spend cycling each week is 16 hours and the average number of calories burned per day in week 5 was 1200.  

Step-by-step explanation:

Given the data in the problem for the number of weeks versus the amount of hours spent cycling, in order to find the range you would subtract the highest number of hours in a given day (22 - week 4) by the lowest number of hours in a given day (6 - week 1), or 16.  For week 5, if you were to burn 8400 calories for the week, assuming that you cycled for all seven days, you would take your total calories burned and divide by the number of days to get approximately 1200 calories per day.  

Answer:

As per the statement: Hannah already had 44 photos on her camera when she arrived in Rome.Then she took 24 photos each day for 6 days.

Let x represented day and y represents the number of photo

Total number of 24  photo in x days is, 24x

then; as per the given statement our equation becomes;

y = 24x+44            .....[1]

now, to find the total number of photos took by Hannah for 6 days in Rome;

put x = 6 in [1] we get;

y = 24(6) + 44 = 188

Therefore, the total number of photos on Hannah's Camera is, 188 photos.

To, find the initial value for the linear function y =24x +44.

Initial value or y-intercept, is the output value when the input of a linear function is zero i.e, x = 0.

Substitute x =0 in y =24x +44

y= 24(0) + 44

y = 0 + 44

y = 44

Therefore, the initial value for the equation y =24x+44 is 44 photos.

Answer:its 44 photos!

Answer:

D. Subtraction property of equality

B. 6.5

Step-by-step explanation:

First blank:

The equation is x + 6.5 = 13.

To solve the equation, you want x alone on the left side, showing "x = some number." Since 6.5 is being added to x, you need to SUBTRACT 6.5. You must do the same operation to both sides of an equation, so you need to SUBTRACT 6.5 from both sides of the equation. What allows you to subtract the same number from both sides of an equation is the

D. Subtraction property of equality

Second blank:

Subtract 6.5 from both sides.

x + 6.5 = 13

x + 6.5 - 6.5 = 13 - 6.5

x = 6.5

Answer: B. 6.5

[tex]\left\{\begin{array}{ccc}y=4x-5\\y=3x+7&|\text{change the signs}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}y=4x-5\\-y=-3x-7\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad0=x-12\qquad\text{add 12 to both sides}\\\qquad\boxed{x=12}\\\\\text{Substitute the value of x to the first equation}\\\\y=4(12)-5\\y=48-5\\\boxed{y=43}\\\\Answer:\ x=12\ and\ y=43.[/tex]

Answer:

31 ft²

Step-by-step explanation:

(1) Area of square

A = l²

A = 12²

A = 144 ft²

=====

(2) Area of circle

A = πr²

A = π × 6²

A = π × 36

A = 113 ft²

=====

(3) Remaining area

A = 144 – 113

A = 31 ft²

The area of the remaining board is 31 ft².

Answer:

Step-by-step explanation:

30

Answer:

The answer is 0.3.

Answer:

an expression for the # of bottles enrique collected in all would be 2b+7

Step-by-step explanation:

Answer:

5 hours 40 minutes can they stay out.

An algebraic equation, y =6x

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity of 1, such as 3 feet per second or 6 miles per hour, they are called unit rates.

Let x represents the hours and y represents the cost.

As per the statement: Erica babysits for 4.5 hours and is paid $27.

Unit rate per hour(m) = [tex]\frac{27}{4.5}= $6[/tex]

Line of equation with no intercept is given by:

y = mx  .....[1]; where m represents the slope or unit rate.

Also, it is given if the people she babysits for have $34 to pay her.

⇒ y = $34

substitute the given values in [1] to solve for x;

[tex]34 = 6 \times x[/tex]

Divide both sides by 6 we get;

[tex]x = \frac{34}{6} = 5\frac{4}{6}[/tex] hours

or

x = 5 hours 40 minutes

Therefore, 5 hours 40 minutes can they stay out.

Also, algebraic equation: y =6x

Answer:

30

Step-by-step explanation:

Convert 12 km to metres

1000 m = 1 km

12 km = 12 × 1000/1

Distance = 12 000 m

Kali takes 1 day for 400 m, so

Time = 12 000 × 1/400

Time = 30 da

It will take Kali 30 da to run 12 km.

Answer:

30

Step-by-step explanation:

The fraction form of the given expression is 29/40.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

The expression in the percentage form is given as 72.5%.

Divide by 100 to obtain fraction as,
72.5%

= 72.5/100

= 725/1000

= 29/40

Hence, the given expression can be written in fraction as 29/40.

To know more about percentage click on,

brainly.com/question/29306119

#SPJ2

Answer:

y + 5 = -2(x + 10)

Step-by-step explanation:

To make the line parallel, we need the same slope as the line. Because it is in slope-intercept form, we know that the slope, or [tex]m[/tex], equals -2.

Also, because we have the point that it passes through, we have enough information to put the values into point-slope form, which is:

[tex]y-y_{1}=m(x-x_{1})[/tex]

y + 5 = -2(x + 10)

The reason I made the subtraction signs to addition signs is because a negative times a negative equals a positive.

Answer:

 [tex]3y+7x=-5[/tex]  is the required equation.

Step-by-step explanation:

We have been given two points: (-2,3) and (1,-4)

We have a formula to find the equation with two points:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}\cdot (x-x_1)[/tex]

Here, we have:

[tex]x_1=-2,x_2=1,y_1=3,y_2=-4[/tex]

On substituting the values in the formula we get:

[tex]y-3=\frac{-4-3}{1-(-2)}\cdot (x-(-2))[/tex]

[tex]\Rightarrow y-3=\frac{-7}{3}\cdot (x+2)[/tex]

On further simplification:

[tex]3y-9=-7(x+2)[/tex]

[tex]\Rightarrow 3y-9=-7x-14[/tex]

After rearranging the terms

[tex]3y+7x=-14+9[/tex]

After final simplification we get:

[tex]3y+7x=-5[/tex]

Answer:

m=[tex]\frac{-7}{3}[/tex]

Step-by-step explanation:

Given:

(-2,3)(1,-4)

(x₁,y₁)(x₂,y₂)

m=(y₂-x₂)÷(y₁-x₁)

m=(-4 - 3) ÷ (1+2)

m= [tex]\frac{-7}{3}[/tex]

Answer:

B

Step-by-step explanation:

A secant is a straight line which intersects a circle at 2 points

The only line which does this is XY → B

Answer:

C. 6x - 4y

Step-by-step explanation:

Difference means subtract

8x-5y - (2x-y)

Distribute the minus sign

8x-5y - 2x+y

Combine like terms

6x-4y

Answer:

C

Step-by-step explanation:

Answer:

$3200

Step-by-step explanation:

Let price of computer be [tex]c[/tex] and price of software be [tex]s[/tex]

From this statement, we can write: [tex]c+s=4000[/tex]

From this statement, we can write: [tex]c=4s[/tex]

Substituting 2nd equation into the first and solving for [tex]s[/tex]:

[tex]c+s=4000\\(4s)+s=4000\\5s=4000\\s=\frac{4000}{5}=800[/tex]

We want to know price of computer, which is 4 times this, so we have:

[tex]c=4(800)=3200[/tex]

Thus, the computer costed $3200

Answer:

It would be 2 hours and 15 minutes

Step-by-step explanation:

Answer:2.26 hours

Step-by-step explanation:

Given

Rich is driving from Philadelphia to Pittsburgh at 70 mph

and Michelle speed is 65 mph

If Philadelphia and  Pittsburgh is 305 miles apart

Let Rich travels x miles in t time

therefore

Michelle travels 305 -x

[tex]\frac{x}{70}=\frac{305-x}{65}[/tex]

[tex]13x=14\times 305 -14x[/tex]

27x=4270

[tex]x=\frac{4270}{27}[/tex]

[tex]x=158.148\approx 158.15 miles[/tex]

time taken t[tex]=\frac{158.15}{70}=2.259 \approx [/tex] 2.26 hours

Answer:

18x - 32

combine the like terms and then you get this.

Answer:

20% are black cats.

Step-by-step explanation:

This is 40% of 50%

= 0.40 * 0.50

= 0.20

= 20%

20% of the animals at the shelter are black cats.

In a pet rescue shelter, 50% of the total number of animals are cats.

Also 40% of the total number of cats are black.

Percentage of cats in all sheltered animals is  50%

Percentage of black cats in all sheltered animals is 40% of all cats,

i.e. 40% of 50% of the animals at the shelter are black cats.

= [tex]\frac{40}{100}[/tex]×[tex]\frac{50}{100}[/tex]  of the animals at the shelter are black cats.

= [tex]\frac{20}{100}[/tex] of the animals at the shelter are black cats.

= 20% of the animals at the shelter are black cats.

Learn more about percentage problem here :

https://brainly.com/question/11804060

#SPJ2

Answer:

The mean temperature for May is higher than September's mean.

The mean temperature of May is higher than the mean temperature of September.

The mean is calculated from the box-plot as follows:

It is the ratio of Sum of (Least value, greatest value, Lower quartile i.e. [tex]Q_1[/tex] , Median i.e. [tex]Q_2[/tex] and Upper quartile i.e. [tex]Q_3[/tex] ) to the number of points i.e. 5.

     Least value=52

        Greatest value=79

        Lower quartile or first quartile i.e. [tex]Q_1[/tex]=63

      Middle quartile or Median i.e. [tex]Q_2[/tex]=71

        Upper quartile or Third quartile i.e. [tex]Q_3[/tex]=73

     [tex]Mean=\dfrac{52+63+71+73+79}{5}\\\\\\Mean=67.6[/tex]

       Least value=47

       Greatest value=88.5

       Lower quartile or first quartile i.e. [tex]Q_1[/tex]=52

       Middle quartile or Median i.e. [tex]Q_2[/tex]=62

       Upper quartile or Third quartile i.e. [tex]Q_3[/tex]=77.5

    [tex]Mean=\dfrac{47+88.5+52+62+77.5}{5}\\\\\\Mean=65.4[/tex]

Hence, the mean of May is higher as compared to September.

Answer:

6.444.... or 6&4/9

Step-by-step explanation:

3(x-5)+2(3x+1)=45<------distributive property

3x-15+6x+2=45    <------combine like terms

9x-13=45              <------addition property of equality

9x=58                   <------division property of equality

x=6.444...

Answer: 6

Step-by-step explanation:

3 times 2

Answer:

Problem 1. Answer: D

Problem 2. Answer: A

Problem 3. Answer: C

Problem 4. Answer: D

Step-by-step explanation:

Problem 1:

A pack is targeted to weigh 9.25 oz.

A pack can be up to 0.23 oz off, either over or under weight.

The pack cannot weigh less than 9.25 oz - 0.23 oz or more than 9.25 oz + 0.23 oz.

The following compound inequality represents the rejected weights.

x < 9.25 - 0.23  or x > 9.25 + 0.23

Subtract 9.25 from both sides of both inequalities.

x - 9.25 < -0.23 or x - 9.25 > 0.23

Change to an absolute value inequality.

|x - 9.25| > 0.23

x - 9.25 < -0.23 or x - 9.25 > 0.23

x < 9.02 or x > 9.48

Problem 2:

Almond trees produce 12a

Macadamia nut trees produce 8m

Yield is 250

12a + 8m = 250

Problem 3:

8.8 m/s converted into km/h

1000 m = 1 km

60 sec = 1 min

60 min = 1 hr

8.8 m/s * (1 km)/(1000 m) * (60 s)/(1 min) * (60 min)/(1 hr) =

= 31.68 km/h

Problem 4.

Let number of alternative schools be a.

Let number of charter schools be c.

"the number of charter schools is 4 less than twice the number of alternative schools"

c = 2a - 4

There are 48 charter schools, so c = 48. Now we solve for a.

48 = 2a - 4

52 = 2a

a = 26

Answer:

Do the MAth yourself

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The range is the set of y values, that is the output

Answer: In March Delphine's house has 1.4*F centimeters of snow.

Step-by-step explanation:

We know that in March, the snow was 40% more than in Februray.

First we need to write 40% in decimal form, for this we divide it by 100%

40%/100% =  0.4

Now, in Februray Delphine's house has F centimeters of snow.

If F corresponds to the 100%, 0.4*F corresponds to the 40%

Now, in march we have a 140% of snow, this is:

Snow = F + 0.4*F = 1.4*F

In March Delphine's house has 1.4*F centimeters of snow.

To make a double recipe of Alfredo sauce, the quantity of salt required would be doubled from 1 1/2 teaspoons to 3 teaspoons.

To determine the quantity of salt needed to make a double recipe of Alfredo sauce, we need to look at the original recipe. The original recipe calls for 1 1/2 teaspoons of salt. To make a double recipe, we simply multiply the quantity of each ingredient by two. So, for the salt component, that would be:

1 1/2 teaspoons × 2 = 3 teaspoons.

Therefore, you would need 3 teaspoons of salt to make a double recipe of Alfredo sauce.

Answer:

x=360          30-40 yrs =288

Step-by-step explanation:

multiple 72 by .05 (36) to find 10 percent, then multiple 80 percent by that number(36) then add both numbers together to get total number of members that month

(72x.05)=36x2+(.80x36)=288

288+72=360

The Number of people who became members in month, x = 5 are 76

The equation given represents a linear expression representing :

To obtain the number of people who became members in a particular month, we input the value of x into the equation and calculate the output :

For instance, if Number of month, x = 5

The Number of people who became members is :

y = 0.8(5) + 72

y = 4 + 72

y = 76

Hence, the Number of people who became members in month, x = 4 are 76

Learn more : https://brainly.com/question/4997238?referrer=searchResults