Solve the two-step equation. 14 = 31.7 – 3x What is the solution? x = \

Answer:

Yes, he is correct

Step-by-step explanation:

Represent Michael's home with M and his mother's with H

So, we have:

[tex]M = 12\ ft (below)[/tex]

[tex]H = 12\ ft (above)[/tex]

Required

Is Michael correct?

First, we get the numeric values of the given parameters.

Below sea level means negative:

So:

[tex]M = 12\ ft (below)[/tex] will be rewritten as:

[tex]M = -12[/tex]

Above sea level means positive:

So:

[tex]H = 12\ ft (above)[/tex] will be rewritten as:

[tex]H = 12[/tex]

Two numbers [tex]A\ and\ B[/tex] are said to be opposite if [tex]A + B=0[/tex]

For Michael to be correct:

[tex]M + H = 0[/tex]

Substitute values for M and H

[tex]-12 + 12 = 0[/tex]

[tex]0 = 0[/tex]

Hence, Michael is correct

Answer:

y=447.3 pounds

x= 297.3 pounds

Step-by-step explanation:

Step one:

given data

Tea A costs $9 per pound and

Tea B cost $6 per pound.

let the number of pounds of Tea A be x

and for Tea B be y pounds

The total cost of the mixture = $8 per pound

hence

9x+6y=8---------1

The total weight of the mixture

150 pounds

x+y=150-----------2

Step two:

9x+6y=8---------1

x+y=150---------2

from eqn 2 x=150-y

put x= 150-y in eqn 1

9(150-y)+6y=8---------1

1350-9y+6y=8

1350-8=9y-6y

1342=3y

divide both sides by 3

y= 1342/3

y=447.3 pounds

put y= 447.3 in eqn 2

x+447.3= 150

x= 150-446=7.3

x= -297.3

x= 297.3 pounds

Answer:

C

Step-by-step explanation:

When you subtract the actual number from the estimated number then, its called 'Error''.

Option B is true.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

You subtract the actual number from the estimated number.

Now,

We know that;

To find the error , we subtract the actual number from the estimated number.

Hence, We get;

After subtract the actual number from the estimated number, the result is called ''Error''.

Learn more about the subtraction visit:

https://brainly.com/question/17301989

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[tex]h(x) = 40x - 16x^2\\h(x) = 15\\40x - 16x^2 = 15\\-16x^2 + 40x - 15 = 0\\[/tex]

Using the quadratic formula we get

[tex]x_1 = 0.5\\x_2 = 2.04[/tex]

Therefore the tennis ball is at least 15 feet above the ground from 0.5 seconds to 2.04 seconds

Answer:

x=-12.8 or −64 /5

Step-by-step explanation:

ok easy as pie

interior plus exterior is 180 degrees

so 180-130=50

we know the last angle = 50

now lets add them all up and they should be equal to 180

all traingles interior angles add up to 180

180=(-21x+1)+(11x+1)+(50)

now solve

180=-21x+1+11x+1+50

180=-10x+52

52-10x=180

subtract 52

-10x=128

-12.8=x

x=-12.8 or −64 /5

Answer:

4/5 + 3/4 = [tex]1\frac{11}{20}[/tex] or 1.55

Step-by-step explanation:

This can be solved by first finding the highest common factors of denominators of the two fractions, i.e. 4 and 5.

The highest common factor of 4 and 5 can be found by multiplying the two numbers as follows:

The highest common factor of 4 and 5 = 4 * 5 = 20

This can now be used to solve  4/5 + 3/4 as follows:

4/5 + 3/4 = ((4 * 4) + (5 * 3)) / 20 = (16 + 15) / 20 = 31 / 20 = [tex]1\frac{11}{20}[/tex] or 1.55

Therefore, we have:

4/5 + 3/4 = [tex]1\frac{11}{20}[/tex] or 1.55

Answer:1200 pies

Step-by-step explanation: so like, its confusing with all this change into like weird stuff. but just multiply 240 by 5.

Answer:

33297327

Step-by-step explanation:

(15267 * 15267) ÷ 7

= 15267 * 15267

= 233081289 ÷ 7

= 33297327

Hope this helps! :)

Answer:

Step-by-step explanation:

2

Answer:

840

Step-by-step explanation:

im probably wrong

Answer: 14 books will cost 840$

Step-by-step explanation: 540/9=60

60= cost of individual book

60*14=840

840= cost of 14 books

Answer:

Its better to buy this week because it is cheaper with using coupon.

Step-by-step explanation:

140 x 0.85 = 119

125 > 119

Answer:

he will need 5 cups of yellow paint

Step-by-step explanation:

10÷2=5, and that means he will need 5 cups of yellow paint per one cup of blue paint

Answer:

The cost of one hosta is $6

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, the variables are:

If Kim spent $62 on 5 hostas and 4 pots of ivy, t his is represented by the equation: 5*x +4*y= 62

If Danielle spent $144 on 8 hostas and 12 pots of ivy, t his is represented by the equation: 8*x +12*y=144

So, the system of equations to solve is:

[tex]\left \{ {{5*x+4*y=62} \atop {8*x+12*y=144}} \right.[/tex]

One way to solve a system of equations is through the substitution method, which consists of solving or isolating one of the unknowns (for example, x) and substituting its expression in the other equation. In this way, you obtain an equation of the first degree with the other unknown, and. Once solved, you calculate the value of x by substituting the already known value of y.

Isolating y from the first equation:

[tex]y=\frac{62-5*x}{4}[/tex]

and replacing this expression in the second equation you get:

[tex]8*x +12*\frac{62-5*x}{4}=144[/tex]

Solving:

[tex]8*x +\frac{12}{4}*(62-5*x)=144[/tex]

8*x + 3*(62-5*x)=144

8*x + 3*62 - 3*5*x=144

8*x + 186 - 15*x=144

8*x  - 15*x=144 -186

(-7)*x= -42

x= (-42)÷ (-7)

x= 6

The cost of one hosta is $6

Answer:

vt km

Step-by-step explanation:

t - time

v - velocity

s - displacement (aka how many killometers)

the formula for s:

s=v×t

Answer:

The fourth option, it's the only FUNCTION that is also not exponential

Step-by-step explanation:

Answer:

40 is the answer

Step-by-step explanation:

Answer:

thanks

Step-by-step explanation:

Answer:

3rd 1

Step-by-step explanation:

because ive done math for 17 years

Answer:

[tex]S = \{(Oatmeal, Coffee),(Eggs, Coffee),(Pancakes,Coffee),[/tex] [tex](Oatmeal, Tea),(Eggs, Tea),(Pancakes,Tea)\}[/tex]

Step-by-step explanation:

Given

[tex]Meal = \{Oatmeal, Eggs, Pancakes\}[/tex]

[tex]Beverage = \{Coffee, Tea\}[/tex]

Required

Determine the sample space

The sample space is a list of combination of 1 meal and 1 beverage.

Because one individual can order only one of the meals and one of the beverages at any one time, then no two orders can be the same

The sample space (S) is as follows:

[tex]S = \{(Oatmeal, Coffee),(Eggs, Coffee),(Pancakes,Coffee),[/tex] [tex](Oatmeal, Tea),(Eggs, Tea),(Pancakes,Tea)\}[/tex]

Answer:

450

Step-by-step explanation:

Length = l

Breadth = b

l = 15 + b

Perimeter = 90

Perimeter = 2(l + b)

90 = 2(15 + b + b)

90 = 2(15 + 2b)

90 = 30 + 4b

90 - 30 = 4b

60 = 4b

60/4 = b

15 = b

Hence, l = 15 + 15 = 30

Area = l * b

Area = 30 * 15

Area = 450 unit²

Answer:

6.5 days

Step-by-step explanation:

106 - 80 =26

26/4= 6.5 days

Answer:

for 80cm

1 =4 cm

x=80cm

4 cmx=80 cm

4 cm. 4 cm

x=20 days

Step-by-step explanation:

1 is equal to 4cm

there x is equal to 80cm

cross multiply

then divid though by 4 because it has letter x

and finally you 20 days as your answer.

Answer:

B

Step-by-step explanation:

Here, we want to find the point-slope equation of the line

We start by getting the y-intercept of the line which is y = 3

The general equation of a straight line is;

y = mx + b

where b is the y-intercept

So, we have;

y = mx + 3

Now, to get m , we insert the point given on the like which is (2,-5)

x = 2 and y = -5

-5 = 2m + 3

-8 = 2m

m = -8/2

m = -4

So the equation of the line is;

y = -4x + 3

This is same as option B

Answer:

14.25

Step-by-step explanation:

95 x 0.85 = 80.75

95-80.75 = 14.25

Answer:

SA=78.5

Step-by-step explanation:

Find the area to all visible sides. 4*2.5=10, 10*2 (because there is two of these shapes) is 20. 4.5*4=18, 18*2=36. Finally, 4.5*2.5=11.25, 11.25*2=22.5.

20+36+22.5=78.5

Answer:

C. y<-4

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

The equation of a line is y=mx+b

m= slope

m=15

slope =15

x-intercept(s): (−5,0)

y-intercept(s): (0,75)

Answer:

ok, and?

Step-by-step explanation:

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