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
vovikov84 [41]
3 years ago
14

the sum of two numbers is 67. the smaller number is 3 less then the larger number. what are the two numbers?

Mathematics
2 answers:
Blababa [14]3 years ago
8 0
Two\ numbers\ are\ x\ and\ x-3 \\ x+x-3=67 \\ 2x-3=67 \\ 2x=70 \\ x=35 \\  \\ 35\ and\ 35-3 \\ \boxed{35\ and\ 32}
Shkiper50 [21]3 years ago
7 0
<span>thats the answer

x2 - 8x - 15

hope it helps


</span>
You might be interested in
Alan borrowed $570 for a new bed. He made 9 monthly payments to repay the loan. He
stepladder [879]

~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &\$45\\ P=\textit{original amount deposited}\dotfill & \$570\\ r=rate\to r\%\to \frac{r}{100}\\ t=months\dotfill &9 \end{cases} \\\\\\ 45 = (570)(\frac{r}{100})(9)\implies \cfrac{45}{(570)(9)}=\cfrac{r}{100}\implies \cfrac{1}{114}=\cfrac{r}{100} \\\\\\ \cfrac{100}{114}=r\implies \stackrel{\%}{0.88}\approx r

4 0
2 years ago
Find the slope of the line that passes through these two points: (- 1, 0) and (4, - 2) .
I am Lyosha [343]
Slope is vertical change over horizontal change. Since coordinates conveniently give both the horizontal and vertical coordinates of a points, we can use the coordinates of both points to differentiate, or find the change horizontally and the change vertically between the two points.
8 0
3 years ago
Reading list
never [62]

9514 1404 393

Answer:

  7 cm, 4.4 cm

Step-by-step explanation:

The side lengths can be found from the law of cosines. Each triangle has legs 3 cm and 5 cm. The angle between these will be 60° or 120°. Then the two sides of the parallelogram are ...

  s = √(a² +b² -2ab·cos(C))

  s = √(3² +5² -2·3·5·(±1/2)) = √(34 ±15) = {√49, √19}

The two side lengths are 7 cm and about 4.4 cm.

8 0
3 years ago
A sphere of radius r is cut by a plane h units above the equator, where
Anika [276]
Consider the top half of a sphere centered at the origin with radius r, which can be described by the equation

z=\sqrt{r^2-x^2-y^2}

and consider a plane

z=h

with 0. Call the region between the two surfaces R. The volume of R is given by the triple integral

\displaystyle\iiint_R\mathrm dV=\int_{-\sqrt{r^2-h^2}}^{\sqrt{r^2-h^2}}\int_{-\sqrt{r^2-h^2-x^2}}^{\sqrt{r^2-h^2-x^2}}\int_h^{\sqrt{r^2-x^2-y^2}}\mathrm dz\,\mathrm dy\,\mathrm dx

Converting to polar coordinates will help make this computation easier. Set

\begin{cases}x=\rho\cos\theta\sin\varphi\\y=\rho\sin\theta\sin\varphi\\z=\rho\cos\var\phi\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi

Now, the volume can be computed with the integral

\displaystyle\iiint_R\mathrm dV=\int_0^{2\pi}\int_0^{\arctan\frac{\sqrt{r^2-h^2}}h}\int_{h\sec\varphi}^r\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\varphi\,\mathrm d\theta

You should get

\dfrac{2\pi}3\left(r^3\arctan\dfrac{\sqrt{r^2-h^2}}h-\dfrac{h^3}2\left(\dfrac{r\sqrt{r^2-h^2}}{h^2}+\ln\dfrac{r+\sqrt{r^2-h^2}}h\right)\right)
5 0
3 years ago
Alan bought 20 yards of fencing. He used 5.9 yards in one garden and 10.3 in another. Write remaining as a fraction in simplest
Over [174]
Its 3.8 because if you add 5.9 and 10.3 is 16.2, and if you subtract it by 20, it should equal 3.8.
7 0
2 years ago
Read 2 more answers
Other questions:
  • Can some body please help meeeee T^T
    14·2 answers
  • Simplify: (3a – 4b)(a + b). . A.. 3a2– ab – 4b2. . B.. 3a2 – 7ab – 4b2. . C.. 3a2 – 12ab – 4b2. . D.. 3a2 + ab – 4b2.
    15·1 answer
  • Help me please!!
    13·2 answers
  • URGENT!!!! Set up proportions for each variable and solve!!! I have a test tomorrow and have no clue how to do proportions!
    5·1 answer
  • A rectangular piece of paper with length 34cm and width 16cm has two semicircles cut out of it. Find the area of the paper that
    7·2 answers
  • the depth of the ocean and a buoy reaches a maximum of 6 feet and a minimum of 2 feet. the depth d (in feet) of the ocean is mod
    13·1 answer
  • Factorize 3x(a-2)-6(a-2)
    11·1 answer
  • Any polygon can be the base of a prism. A. True B. False​
    5·1 answer
  • PLEASE ANSWER QUICKLY!!!
    11·1 answer
  • A tree in Kira's backyard is 1/4 meters tall. It has been growing for 2 4/5 years.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!