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svetoff [14.1K]
3 years ago
13

Keiko, Chang, and Abdul sent a total of 109 text messages over their cell phones during the weekend. Keiko sent 7 fewer messages

than Chang. Abdul sent 4
times as many messages as Keiko. How many messages did they each send?
Mathematics
1 answer:
lbvjy [14]3 years ago
5 0

9514 1404 393

Answer:

  • Keiko: 17
  • Chang: 24
  • Abdul: 68

Step-by-step explanation:

Let c represent the number of messages sent by Chang. Then Keiko sent (c-7) messages, and Abdul sent 4(c-7) messages. The total number sent was ...

  c + (c -7) +4(c -7) = 109

  6c -35 = 109 . . . . . . . . . . simplify

  6c = 144 . . . . . . . . . . . add 35

  c = 24 . . . . . . . . . . . divide by 6

  c-7 = 17

  4(c-7) = 68

Keiko sent 17, Chang sent 24, and Abdul sent 68 text messages.

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matrenka [14]

Answer:

4. Slope of function B = -slope of function A

Step-by-step explanation:

Given:

Function A is given as:

F(x)=-2x+1

The above equation is of the form y=mx+b, where m represents slope of the line.

Therefore, on comparing the function A with the above standard form, er conclude that, slope of function A is -2.

Now, from the graph of function, we consider any two points on the graph and determine the slope of the line using the two points.

Let us consider the points (x_1,y_1)=(1.5,0)\ and\ (x_2,y_2)=(3,3)

Now, the slope of the line passing through these two points is given as:

m_B=\frac{y_2-y_1}{x_2-x_1}=\frac{3-0}{3-1.5}=\frac{3}{1.5}=2

Therefore, slope of function B is 2.

Therefore, the correct relation between the slopes of the two functions is that the slope of function B is negative of the slope of function A.

m_B=-(m_A)=-(-2)=2

5 0
3 years ago
A circular plate has a crack along the line AB, as shown below: A circular plate is shown. The center of the plate is labeled as
makkiz [27]
Well, since point A represents the center, and B represents a point on the outer line of the circle, segment AB would represent the radius, since the radius represents the length from the center to the outside of a circle

Hope this helps
8 0
3 years ago
Read 2 more answers
Triangle BAD is a rotation of triangle DCB around point E by 180 degrees.
Andrews [41]

Taking point <em>Z </em> as the origin, the coordinates of the points on ΔBAD are

given by changing the sign of the coordinates of points in ΔDCB.

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Reasons:

The given parameters are;

Triangle ΔBAD is the image of ΔDCB following a rotation of 180°.

Required:

The angle congruent to ∠DBA.

Solution:

Given that the rotation of triangle DCB is 180°, we have that the

coordinates of a point (x, y) in ΔDCB is (-x, -y) in ΔDBA.

Therefore, side DC is parallel to side AB

Which gives;

∠DBA is congruent to ∠BDC by alternate interior angles theorem.

∠DBA ≅ ∠BDC

The angle that is congruent to ∠DBA is; option <u>D. ∠BDC</u>

<u />

Learn more about rotation transformation here:

brainly.com/question/4738741

5 0
2 years ago
Use the discriminant to determine the number of real solutions to the quadratic equation.
Naily [24]

Answer:

0

Step-by-step explanation:

Use discramnt formula

b {}^{2}  - 4ac

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3 years ago
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erastova [34]

–4/–5 reduces to 0.8.

6 0
3 years ago
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