answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga_2 [115]
2 years ago
10

Explain two ways you could solve 20 = 5(-3 + x)

Mathematics
1 answer:
MrRissso [65]2 years ago
3 0

Answer:

The answer to your question is below

Step-by-step explanation:

First way

                      20 = 5(-3 + x)                     expand

                     20 = -15 + 5x                    simplify like terms

                     5x = 20 + 15

                     5x = 35                            divide both sides by 5

                     5x/5 = 35/5

                     x = 7

Second way

                     20/5 = 5/5 (-3 + x)          Divide both sides by 5

                     4  = -3 + x                        Add +3 in both sides

                     4 + 3 = -3 + 3 + x            Simplify like terms

                     7 = x

                     

You might be interested in
Can y’all answer the question for me
raketka [301]

Answer:

The answer is A

Step-by-step explanation:

87,688 - 86,789 = 899

4 0
2 years ago
Read 2 more answers
Two hundred people were surveyed about whether or not they like recreational reading and academic reading. The following two-way
Ymorist [56]
Yes. the two events, e.g. LIKED and DISLIKED cannot both be TRUE at the same time
4 0
2 years ago
Read 2 more answers
A circle passes through points A(7,4), B(10,6), C(12,3). Show that AC must be the diameter of the circle.
Artist 52 [7]

so we have three points, A, B and C, if indeed AC is the diameter of the circle, then half the distance of AC is its radius, and the midpoint of AC is the center of the circle, morever, since B is also on the circle, the distance from B to the center must be the same radius distance.

in short, half the distance of AC must be equals to the distance of B to the midpoint of AC, if indeed AC is the diameter.

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{12}~,~\stackrel{y_2}{3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{12+7}{2}~~,~~\cfrac{3+4}{2} \right)\implies \left( \cfrac{19}{2}~~,~~\cfrac{7}{2} \right)=M\impliedby \textit{center of the circle}

now, let's check the distance from say A to the center, and check the distance of B to the center, if it's indeed the center, they'll be the same and thus AC its diameter.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AM=\sqrt{\left( \frac{19}{2}-7 \right)^2+\left( \frac{7}{2}-4 \right)^2} \\\\\\ AM=\sqrt{\left( \frac{5}{2}\right)^2+\left( -\frac{1}{2} \right)^2}\implies \boxed{AM\approx 2.549509756796392} \\\\[-0.35em] ~\dotfill

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{10}~,~\stackrel{y_1}{6})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}}) \\\\\\ BM=\sqrt{\left( \frac{19}{2}-10 \right)^2+\left( \frac{7}{2}-6 \right)^2} \\\\\\ BM=\sqrt{\left( -\frac{1}{2}\right)^2+\left( -\frac{5}{2} \right)^2}\implies \boxed{BM\approx 2.549509756796392}

6 0
2 years ago
Deon plans to ride a 15-mi bicycle trail. If his average speed is 20 mi/h, which equation can he use to find the time t, in hour
fredd [130]

Answer:

The equation that Deon can use to find the time 't' it takes for his ride is t=distance/rate or t=15/20 or 0.75 hours.  

Step-by-step explanation:

The relationship between distance, rate and time is a common formula represented by d=rt where 'd'=distance, 'r'=rate and 't'=time.  Distance is typically calculated in miles, where rate is given in miles/hour and time is the hours.  In this case, because we are looking for 't', we would simply plug in the values of distance and rate to get 20=15t.  In order to solve for 't', we need to use inverse (opposite) operations, dividing both sides by 15 and getting 0.75 hours for 't'.  

8 0
2 years ago
Read 2 more answers
If r=[x,y,z] and r0=[x0,y0,z0], describe the set of all points (x,y,z) such that Ir-r0I =1.
sdas [7]

Answer:

The points (x,y,z) that respond to Ir-r0I =1, are all that describes the form (x-x_0)^2+(y-y_0)^2+(z-z_0)^2=1 with:

-1+x₀<x<1+x₀

-1+y₀<y<1+y₀

-1+z₀<z<1+z₀

Step-by-step explanation:

All points required in this problem came from applying the definition of modulus of a vector:

Ir-r0I =1.

|(x,y,z)-(x_{0},y_{0},z_{0})|=|(x-x_{0},y-y_{0},z-z_{0})|=\sqrt{(x-x_{0})^2+(y-y_{0})^2+(z-z_{0})^2}=1\\(x-x_{0})^2+(y-y_{0})^2+(z-z_{0})^2=1^2=1

5 0
2 years ago
Other questions:
  • Jacob made a circle-shaped poster for his geometry class.
    5·1 answer
  • Which equation has the solutions x = 5+/- 2 the squire root of 7 over 3
    12·1 answer
  • Yoko evaluates 7 divide 1/6 by using a related multiplication expression. Which multiplication expression should she use?
    15·2 answers
  • Occupation
    10·2 answers
  • Nestor works at a garden center where he pots plants. It take's him 2 1/2 hours to pot 15 plants.
    5·2 answers
  • the phrase “is a function of” gets used in non-mathematical speech as well as mathematical mathematical speech in sentences like
    10·1 answer
  • Students in a cooking class made 4 1/2 quarts of soup. They served 4/5 of the soup to friends. Each serving is 3/5 quart. Hector
    7·1 answer
  • In Speed Study Number 1, we looked at two cars traveling the same distance at different speeds on city streets. Car "A" traveled
    12·1 answer
  • Which is the length of the arc MPN expressed in terms of pie?
    6·2 answers
  • A homeowner puts a passcode-enabled lock on her front door. To choose a passcode, she must choose a number, a letter from a list
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!