Problem
Solve for x
x + 5 = 10
——-
2

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

y = 7x - 8 → (1)

y = 5x - 2 → (2)

A

Solving by substitution

Substitute y = 7x - 8 into (1)

7x - 8 = 5x - 2 ( subtract 5x from both sides )

2x - 8 = - 2 ( add 8 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Substitute x = 3 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 7(3) - 8 = 21 - 8 = 13

Solution is (3, 13 )

B

The point of intersection of the graph of the 2 equations is the solution to the above equations.

That is point of intersection = (3, 13 )

Final Answer: [tex]b = -1[/tex]

Steps/Reasons/Explanation:

Question: [tex]7b - 2/5 = 6b - 7/5[/tex] equations with variables on both sides: decimals & fractions.

Step 1: Subtract [tex]6b[/tex] from both sides.

[tex]7b - \frac{2}{5} - 6b = -\frac{7}{5}[/tex]

Step 2: Simplify [tex]7b - \frac{2}{5} - 6b[/tex] to [tex]b - \frac{2}{5}[/tex].

[tex]b - \frac{2}{5} = -\frac{7}{5}[/tex]

Step 3: Add [tex]\frac{2}{5}[/tex] to both sides.

[tex]b = -\frac{7}{5} + \frac{2}{5}[/tex]

Step 4: Simplify [tex]-\frac{7}{5} + \frac{2}{5}[/tex] to [tex]-1[/tex].

[tex]b = -1[/tex]

~I hope I helped you :)~

Answer:

Both the domain and range are the set of all real numbers. For the absolute value function f(x)=|x| f ( x ) = | x | , there is no restriction on x . ... For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. this is the best i can do if its not helpful i guess u can ask ur teacher.

Answer:

The probability is 0.694

Step-by-step explanation:

Let the probability of getting a car washed be

P(W) = 72% = 0.72

Let the probability of getting a car vacuumed be

P(V) = ?

Probability of getting car washed and vacuumed is P(W n V) = 50% = 0.5

From Bayes’ theorem

P(V|W) is the probability that a customer gets their car vacuumed given that they are getting it washed

So mathematically;

P(V|W) = P(V n W)/P(W)

= 0.5/0.72 = 0.694

Answer:

1.

31, 37, 43, 49, 55

2.

for nth number the value is 31+6(n-1)

3.

24th number, 169-31=138 and 138/6=23

Answer:

It is 50 mph

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

start by added 24 to both sides to get

6x = 18

then divide 18 by 6 to get

x = 3

Answer:

x=3

Step-by-step explanation:

Get your constant -24 to the other side to isolate the 6x.

-24+24+6x=-6+24

6x=18

Now since the 6 is multiplied by the x to isolate the x further divide 6x by 6, make sure to divide both sides. It should look like:

6x/6=18/6

x=3

To prove the answer just plug in 3 into the orginal equation and if both sides are equal its correct.

Answer:

Alot of adults smoke and very little adults don´t smoke at all

Step-by-step explanation:

14.0% of U.S. adults overall.

like to me 85% of adults smoke

Answer:

Yes, the bathroom has enough water and shampoo for all of them.

Step-by-step explanation:

Answer:It takes 250 g of pasta and 240 ml of sauce to make one batch of spaghetti and it takes 600g of pasta and 700ml of sauce to make one batch of lasagna.

Case 1: Pasta

The chef wants to make spaghetti and lasagna using more than 4000 g of pasta.

S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.

So the equation becomes :

Case 2: Sauce

chef wants to make spaghetti and lasagna using more than 5000 ml of sauce.

S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.

So the equation becomes:

Answer :

The two equations are :

For pasta:

For sauce:

Step-by-step explanation:

Answer:

2nd option.............................................

Answer:

5/6

Step-by-step explanation:

1/3+1/2=5/6

1) find common denominator

2) Add top number and then add bottom

Answer:

SOLVE FOR C

c=2−

x

6

​

−

x

2

3

​

,x



=0

SOLVE FOR X

{

x=

2−c

3

​

(

5−c

​

+

3

​

)

​

; x=

2−c

3

​

(−

5−c

​

+

3

​

)

​

,

x=−

2

1

​

,

​

c



=2 and c≤5

c=2

​

Answer:

The answer is 0 ✌

Step-by-step explanation:

70 - 8 =62°

Answer:

6 1/10

Step-by-step explanation:

You multiply the left fraction by 5 and the right by 2 so the denominators come out equally as 10 which makes your new fractions, 4 5/10 and 1 6/10 then add them together and it would be 5 11/10 and you break it down so it’s 6 with 1 left over making it 6 1/10

Answer: D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Dimensions of the prism is 5x8x6

April made a mistake, she packed 4 layers of unit cubes instead of 5 layers

Correct  volume of the prism is:

Correct answer choices:

Answer:

Step-by-step explanation:

y = - 3x

Answer:

Triangle RST is an equilateral triangle.

Step-by-step explanation:

All three sides of the triangle are of equal length, therefore, because an isosceles triangle is when 2 sides of the triangle are the same length, a scalene triangle being when all sides are of different lengths, and a right triangle having a right angle (a 90 degree angle), this only leaves equilateral, all three sides being the same length, like in the triangle shown.

Answer:

60 cups

Step-by-step explanation:

Mrs. Jackson bought 4 gallons of juice for a party. Each gallon has 16 cups.

From the above question:

1 gallon of juice = 16 cups

Then:

4 gallons of juice = c

Cross Multiply

1 × c = 4 × 16 cups

c = 64 cups of juice

Hence, 4 gallons of juice = 64 cups of juice

We are told that :

After the party, 4 cups of juice were left over.

The cups of juice people drank at the party is calculated as:

Total cups of juice - Number of cups of juice left over.

64 cups of juice - 4 cups of juice

= 60 cups of juice

Answer:

vertical asymptote X=-1

horizontal asymptote Y=2

Step-by-step explanation:

The vertical and the horizontal asymptotes of the function [tex]f(x) = \frac{2x^2 +7x - 4}{x^2 + 5x + 4}[/tex] are x = -1, and y = 2

The function is given as:

[tex]f(x) = \frac{2x^2 +7x - 4}{x^2 + 5x + 4}[/tex]

To start with, we plot the graph of f(x)

The asymptotes are the lines that pass through the points that appears to be on the curve because of their nearness to the curve, but they are actually not on the curve of the function.

From the graph (see attachment), we can see that:

The vertical and the horizontal asymptotes are x = -1, and y = 2

Read more about asymptotes at:

https://brainly.com/question/8493280

Answer:

6(8x-2)

48x- 12 (this is the answer)

Step-by-step explanation:

to do those, you use the distributive property, which is taking the number outside the parenthesis and multiplying it by everything inside of it

Answer:

2 time s=two then minus the neighbors kids

Step-by-step explanation:

Answer:

Bond Price​= $108,175.71

Step-by-step explanation:

Giving the following information:

Face value= $100,000

Coupon rate= 0.05/2= 0.025

YTM= 0.04/2= 0.02

Time period= 10*2= 20 semesters

To calculate the price of the bond, we need to use the following formula:

Bond Price​= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Bond Price​= 2,500*{[1 - (1.02^-20)] / 0.02} + [100,000/(1.02^20)]

Bond Price​=  40,878.58 + 67,297.13

Bond Price​= $108,175.71

In this exercise we have to use the knowledge of finance to calculate the stipulated value through the percentages, thus we find that:

Bond Price will be  [tex]\$108,175.71[/tex]

From the information given in the text we found that:

To calculate the price of the bond, we need to use the following formula:

[tex]Bond\ Price = cupon*{[1 - (1+i)^{-n}] / i} + [face \ value/(1+i)^n][/tex]

So with the formula already informed we will replace the values ​​given in the text find what we want.

[tex]Bond \ Price = 2,500*{[1 - (1.02^{-20})] / 0.02} + [100,000/(1.02^{20})]\\Bond Price= 40,878.58 + 67,297.13\\Bond Price= \$108,175.71[/tex]

See more about finances at: brainly.com/question/10024737

Answer:

16) diameter = 2×radius

3/4 ft = 2×r

r = 3/8

17) 2×radius = diameter

2×√13 = 2√13 cm

42) center = (6,-3)

radius = 14/2

= 7

[x-(6)]²+[y-(-3)]² = 7²

(x-6)²+(y+3)² = 49

Answer: X=-2 or x= 2

Answer:

8

Step-by-step explanation:

Here, we want to use the inequality to know the number of pizza that can be bought

We simply proceed to solve the inequality recently and we have the following;

9.25x + 25 ≤ 105

9.25x ≤ 105-25

9.25x ≤ 80

x ≤ 80/9

x ≤ 8.65

Since we cannot have fractional pizzas, what he can afford is rather written as 8

Answer:

Study Harder

Step-by-step explanation: