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PIT_PIT [208]
3 years ago
5

A first number plus twice a second number is 13. Twice the first number plus the second totals 14. find the numbers​

Mathematics
1 answer:
sashaice [31]3 years ago
4 0

Answer:

the first number is 5 the second number is 4

Step-by-step explanation:

first number = x

second number = y

X+2y=13 given this isolate x  x = 13-2y

2x+y=14 substitute 13-2y for x

2(13-2y)+y=14

26-4y+y=14

-3y=-12

y=4 taking this number substitute into either equation above

x+2(4)=13

x+8=13

x=5

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7m + 3mn when m = 8 and n = 14
Kazeer [188]

Answer:

392

Step-by-step explanation:

m = 8 and n = 14

Substituting the values of m and n in the question, we get :

7m + 3mn

=( 7 x 8) +(3 x 8 x 14)

= 56 + 336

= 392

8 0
3 years ago
Read 2 more answers
If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c
dolphi86 [110]

Given:

(ax+2)(bx+7)=15x^2+cx+14

And

a+b=8

Required:

To find the two possible values of c.

Explanation:

Consider

\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}

So

\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}

And also given

a+b=8---(2)

Now from (1) and (2), we get

\begin{gathered} a+\frac{15}{a}=8 \\  \\ a^2+15=8a \\  \\ a^2-8a+15=0 \end{gathered}a=3,5

Now put a in (1) we get

\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}

When a=5 and b=3, we have

\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}

Final Answer:

The option D is correct.

31 and 41

8 0
1 year ago
PLS ANSWER ASAP FIRST ONE TO DO SO GETS BRAINLIEST
Marta_Voda [28]

Answer:

Carmen can make 10\frac{5}{16} full servings.

Step-by-step explanation:

Given : Carmen mixes 3\frac{1}{2} cups of water with 3\frac{3}{8}  cups of juice to make punch.

Total quantity of punch Carmen made = total cup of water + cup of juice she mixes

Total quantity of punch Carmen made = 3\frac{1}{2}+3\frac{3}{8}

Solving , we get,

Total quantity of punch Carmen made = \frac{7}{2}+\frac{27}{8}

taking LCM(2,8) = 8 , we get,

Total quantity of punch Carmen made = \frac{28+27}{8}=\frac{55}{8}

Also, given She pours \frac{2}{3} cup servings of punch.

Thus, \frac{2}{3} cup of mixture makes 1 serving cup.

Using unitary method,

In unitary method we first find the value of a single quantity and then multiply it with the desired quantity.

1 cup of mixture makes \frac{3}{2} serving cup.

\frac{55}{8} cup makes = \frac{3}{2}\times\frac{55}{8}

\frac{55}{8} cup makes = \frac{165}{16}=10\frac{5}{16}

Thus, She can make 10\frac{5}{16} full servings.


5 0
3 years ago
Express each number in scientific notation. <br><br> 18<br><br><br> 8,888,800
Olenka [21]
scientific\ notation:a\cdot10^n\ where\ a\in[1;\ 10)\ and\ n\in\mathbb{Z}\\==================================\\\\1\underbrace{8}_{\leftarrow1}=1.8\cdot10^{1}\\\\8\underbrace{,888,800}_{\leftarrow6}=8.888800\cdot10^6=8.8888\cdot106
8 0
3 years ago
Read 2 more answers
How many female students have a part time job and a drivers license
dimaraw [331]

Answer:

10000000

Step-by-step explanation:

4 0
3 years ago
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