1answer.
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
V125BC [204]
2 years ago
15

Jessica, Chau, and Kareem sent a total of 84 text messages during the weekend. Kareem sent 4 times as many messages as Chau. Jes

sica sent 6 fewer messages than Chau. How many messages did they each send?
Mathematics
2 answers:
valentinak56 [21]2 years ago
8 0
Chau = 15
Kareem = 4*15 = 60
Jessica = 15-6 = 9
swat322 years ago
3 0

Answer:

Number of messages sent by Chau = 15

Number of messages sent by Kareem = 4 * 15 = 60

Number of messages sent by Jessica = 15 - 6 = 9

Step-by-step explanation:

Let number of messages sent by Chau = c

Number of messages sent by Kareem = 4 times as Chau

                                                                = 4 * c = 4c

Number of messages sent by Jessica = 6 fewer messages than Chau

                                                               = c - 6

Total messages = 84

<u>c + 4c + c</u> - 6 = 84                {Combine like terms}

<u>6c</u> - 6 = 84         {Add 6 to both sides}

6c  = 84 + 6

6c = 90   {Divide both sides by 6}

c = 90/6

c = 15

Number of messages sent by Chau = 15

Number of messages sent by Kareem = 4 * 15 = 60

Number of messages sent by Jessica = 15 - 6 = 9

You might be interested in
The unit price of a 128-ounce jug of milk is 4.8 cents per ounce. A 64-ounce carton of milk has a unit price of 5.1 cents per ou
givi [52]
Pretty sure it’s $0.38. Hope this helped :)
3 0
2 years ago
Read 2 more answers
What is 1/2 X (6 X 4)+3 + 2 Please show your work
exis [7]

Answer:

<h2>17</h2>

Step-by-step explanation:

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

\dfrac{1}{2}\times\underbrace{(6\times4)}_{1}+3+2\\\\=\underbrace{\dfrac{1}{2}\times24}_{2}+3+2\\\\=12+3+2=17

4 0
2 years ago
Verify x + 1⁄2 is a factor of P(x)= x2<br> + x -2
kumpel [21]

Answer:

Put p(x)=0.

Step-by-step explanation:

2x-1=0 will give x=1/2. This means, If x=1/2 is given to the polynomial p(x), it will give a zero. P(1/2)=0.

8 0
2 years ago
Please answer asap!!!!!
kherson [118]

Step-by-step explanation:

The equation of a circle can be the expanded form of

\large \text{$(x-a)^2+(y-b)^2=r^2$}(x−a)

2

+(y−b)

2

=r

2

where rr is the radius of the circle, (a,\ b)(a, b) is the center of the circle, and (x,\ y)(x, y) is a point on the circle.

Here, the equation of the circle is,

\begin{gathered}\begin{aligned}&x^2+y^2+10x-4y-20&=&\ \ 0\\ \\ \Longrightarrow\ \ &x^2+y^2+10x-4y+25+4-49&=&\ \ 0\\ \\ \Longrightarrow\ \ &x^2+y^2+10x-4y+25+4&=&\ \ 49\\ \\ \Longrightarrow\ \ &x^2+10x+25+y^2-4y+4&=&\ \ 49\\ \\ \Longrightarrow\ \ &(x+5)^2+(y-2)^2&=&\ \ 7^2\end{aligned}\end{gathered}

⟹

⟹

⟹

⟹

x

2

+y

2

+10x−4y−20

x

2

+y

2

+10x−4y+25+4−49

x

2

+y

2

+10x−4y+25+4

x

2

+10x+25+y

2

−4y+4

(x+5)

2

+(y−2)

2

=

=

=

=

=

0

0

49

49

7

2

From this, we get two things:

\begin{gathered}\begin{aligned}1.&\ \ \textsf{Center of the circle is $(-5,\ 2)$.}\\ \\ 2.&\ \ \textsf{Radius of the circle is $\bold{7}$ units. }\end{aligned}\end{gathered}

1.

2.

Center of the circle is (−5, 2).

Radius of the circle is 7 units.

Hence the radius is 7 units.

4 0
2 years ago
Question 13
PtichkaEL [24]

Answer:

  B.  30x

  D.  x(45-15)

Step-by-step explanation:

The distributive property lets you factor out the common factor of x. The sum of coefficients can be simplified to a single coefficient.

  45x -15x = x(45 -15) = 30x

5 0
2 years ago
Other questions:
  • A set of data includes 101 data points ranging from 0 – 200. If the data is split into classes with a range of 20 (1 – 20, 21 –
    11·1 answer
  • 8 of 10
    12·1 answer
  • HELP asap AB=85m Find the length of Line CD
    14·1 answer
  • List the sides of ΔRST in in ascending order (shortest to longest) if m∠R = 2x+47°, m∠S = x+38°, and m∠T = 4x−52°
    14·2 answers
  • Help with my work and step by step please
    7·1 answer
  • 5 lbs of walnuts equally divided into containers. each holds 5/8 of a pound . how many containers will be filled
    15·1 answer
  • 8.4 miles plus 8.4 miles
    14·2 answers
  • Please help if you can
    9·1 answer
  • Pls help me with this one​
    13·1 answer
  • A soft-drink vending machine is supposed to pour 500ml of the drink
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!