All categories

1 year ago

The sum of two numbers is 110.The larger number is 2 less than 7 times the smaller.Find the Large number

Mathematics

1 answer:

natima [27]1 year ago

8 0

Answer:

The larger number is 96.

Step-by-step explanation:

$let \: the \: two \: numbers \: be \: a \: and \: b \\ a + b = 110 \\ let \: a \: be \: the \: larger \: number \\ a = 7b - 2 \\ we \: can \: get \: the \: value \: of \: b \: by \: substituting \: the \: value \: above \: for \: a \: in \: eq \: 1 \\ 7b - 2 + b = 110 \\ 8b - 2 = 110 \\ 8b = 110 + 2 \\ 8b = 112 \\ b = \frac{112}{8} \\b = 14\\ calculate \:the \: value \: of \: a \: using \: the \: equation \: above \\ a + b = 110 \\ a = 110 - 14 \\ a = 96 \\ hence \: the \: large \: number \: is \: 96$

You might be interested in

Atile factory earns money by charging a flat fee for delivery and a sales price of $0.25 per tile. One customer paid a

Vesnalui [34]

Answer: the first one is C

the second one is B

5 0

3 years ago

To solve n+7=15 you should first

sertanlavr [38]

Answer:

Collect like terms and simplify
Subtract 7 from both sides

Step-by-step explanation:

METHOD 1

$n+7=15\\n =15-7\\n = 8$

METHOD 2

$n+7-7=15-7\\n =8$

7 0

2 years ago

Read 2 more answers

Which is the better deal: 8 ounces of shampoo for $0.89 or 12 ounces for 1.47.

Otrada [13]

8 Ounces of shampoo for $0.89

6 0

2 years ago

Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separ

Deffense [45]

Answer:

$\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}$

Step-by-step explanation:

$Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}$

$\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16$

$\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i$

6 0

2 years ago

Read 2 more answers

State the domain and range of the following function.

insens350 [35]

Hold on need you omgg disnwkxjdjcjdjxuj ex djdusijddj

6 0

2 years ago