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Crazy boy [7]
3 years ago
13

Carmen, Reuben, and Jim sent a total of 156 text messages over their cell phones during the weekend. Jim sent 6 fewer messages t

han Carmen. Reuben sent 4
times as many messages as Jim. How many messages did they each send?
Mathematics
1 answer:
jolli1 [7]3 years ago
7 0

Answer:

Step-by-step explanation:

1) determine what we know. We know that...

a) 156 total messages were sent

b) Jim sent 6 less that carmen

c) reuben sent 4 times as many as jim

2) create an equation with the information we know

(J= amount of messages jim sent, R= amount of messages reuben sent and C= amount of messages carmen sent)

(jim)         (reuben)     (carmen)    (total)

C - 6     +    J(4)    +    C            = 156

Now, isolate "C" on one side of the "="

3) add 6 to both sides of the equation:

C - 6 + J(4) + C =156

   -6                  -6

C + J(4) + C = 150

4) Combine like terms. In this case, combine the two Cs into Cx2:

C(2) +J(4) = 150

5) subtract "J(4)" from both sides of the "="

C(2) + J(4) = 150

        -J(4)     -J(4)

C(2) = 150 - J(4)

6) to isolate just 1 C, divide everything by 2

{C(2) = 150 - J(4)} ÷ 2

C = 75 - J(2)

7) Go back to our original equation (in bold) and replace "C" with "75 - J(2)"

(75-J(2)-6) + J(4) + (75-J(2)) = 156

Now solve for J.

Thats as far as I got.

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G(x)=2x-8, f(x)=5-g(x) what is the value of f(10)
Rudik [331]

By evaluating the function, we conclude that f(10) = -7

<h3>How to evaluate the function f(x)?</h3>

Here we know that:

g(x) = 2x - 8

And f(x) = 5 - g(x).

Then we can write:

f(x) = 5 - (2x - 8) = 5 - 2x + 8 = -2x + 13

Now we want ot evaluate it in x = 10, this means replace the variable by the number 10.

f(10) = -2*10 + 13 = -20 + 13 = -7

Then, we conclude that f(10) = 7

If you want to learn more about evaluating:

brainly.com/question/1719822

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Solve x divided by four equals eight . (1 point)<br><br><br> 4<br> −4<br> 32<br> −32
schepotkina [342]
X/4 = 8 
multiply both sides by 4 to get the value of x 
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If y varies directly with x, and y= 10 when x = 4, find y when x = 10.​
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Translate the sentence and solve: "4 is 2 less than double a number".
Elanso [62]

Answer: x = 3

Step-by-step explanation:

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Identify the property that justifies the following statement:<br> If &lt;1≈ &lt;2, then &lt;2≈&lt;1.
Colt1911 [192]

Symmetric property of congruence.

Solution:

Given statement:

If ∠1 ≅ ∠2, then ∠2 ≅ ∠1.

<em>To identify the property used in the above statement:</em>

Let us first know some property of congruence:

Reflexive property:

The geometric figure is congruent to itself.

That is \overline{A B} \cong \overline{A B} \text { or } \angle B \cong \angle B.

Symmetric property of congruence:

If the geometric figure A is congruent to figure B, then figure B is also congruent to figure A.

That is \overline{A B} \cong \overline{C D}, \text { then } \overline{C D} \cong \overline{A B}.

Transitive property of congruence:

If figure A is congruent to figure B and figure B is congruent to figure C, then figure A is congruent to figure C.

That is \angle A\cong \angle B, \ \angle B\cong \angle C \  \text{then} \ \angle A\cong \angle C

From the above properties, it is clear that,

If ∠1 ≅ ∠2 then ∠2 ≅ ∠1 is symmetric property of congruence.

7 0
3 years ago
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