The sum of two numbers is 17. One number is 3 less then 2/3 of the other number. What is the lesser number?

A.

⎡

⎢

⎣

1

2

3

⎤

⎥

⎦

=

⎡

⎢

⎣

x

2

3

⎤

⎥

⎦

B. ⎡

⎢

⎣

1

2

3

⎤

⎥

⎦

=

⎡

⎢

⎣

x

2

3

⎤

⎥

⎦

sorry the last two i cant find. i hope this helps.

Answer:

The correct answer is Adam rowed faster in the men's 500-meter kayak race.

Step-by-step explanation:

To find the speed he rowed in both races, you need to divide the distance of the race by the time it took him to finish. In the first race, he rowed 500 meters and did it in a time of 1 minute 37.9 seconds, so the speed in that race would be [tex]\frac{500}{97.9}[/tex] or approximately 5.10725 meters per second. In the second race, Adam rowed a distance of 1000 meters and did it in a time of 3 minutes 28.2 seconds, which means his speed in that race would be [tex]\frac{1000}{208.2}[/tex] or approximately 4.80307 meters per second. Since his speed in the first race was faster than his speed in the second race, Adam rowed faster in the first race would be the correct answer.

Answer:

:)

Step-by-step explanation:

There’s an answer already

We know that :

Ф  Product of the slopes of two lines perpendicular to each other should be equal to -1

Let the slope of the line perpendicular to given line be : M

Given equation of the line : y = -1/2x + 4

This line is in the form : y = mx + c, where m is the slope and c is the y intercept

Comparing with y = mx + c :

we can notice that slope of the given line is -1/2

⇒   M × -1/2 = -1

⇒   M × 1/2 = 1

⇒   M = 2

Answer : Slope of the line perpendicular to given line is 2

Answer:

2nd option

Step-by-step explanation:

Consider the coordinates of A and A'

A (2, - 2 ) → A' (- 4, 1 )

This is a shift of - 6 in the x- direction and + 3 in the y- direction

Then the translation rule is

(x, y ) → (x - 6, y + 3 )

Answer:

I think its d

Step-by-step explanation:

Answer:

(x+5)(x+2)

x(x+2)+5(x+2)

x*x+x*2+5*x+5*2

x^2+2x+5x+10

x^2+7x+10

Step-by-step explanation:

Answer:

Solution given:

Centre(h,k)=(-5,-9)

radius (r)=7

we have

Equation of a circle is;

(x-h)²+(y-k)²=r²

Substituting value;

(x+5)²+(y+9)²=7²

(x+5)²+(y-9)²=49 is a required equation of a circle.

Standard equation

Answer:

this is the correct answer

Answer:

Its in the picture so you can understand it better.

Step-by-step explanation:

Statement 1 and statement 3 contradict

======================================================

Explanation:

We'll start with statement 1 and try to build to statement 3, and you'll find that a contradiction happens.

If angle 1 and angle 2 are supplementary, then that must mean [tex]m \angle 1 + m \angle 2 = 180[/tex] because the angles can be combined to form a straight angle.

Add the measure of angle 3 to both sides

[tex]m \angle 1 + m \angle 2 = 180\\\\m \angle 1 + m \angle 2+m\angle 3 = 180+m\angle 3[/tex]

The left side matches with the left side in statement 3, but the right side is a bit off. That [tex]m\angle 3[/tex] term needs to be zero, so that the right side boils down to simply 180. However, statement 3 specifically mentions that angle 3 is nonzero. So angle 3 is some positive value.

That's why choice C is the answer.

------------------

Here's an example:

Let's say angles 1 and 2 are 50 and 130 degrees. The order doesn't really matter, but I'll make angle 1 to be the smaller angle.

This means,

[tex]m \angle 1 + m \angle 2 = 180\\\\50 + 130 = 180\\\\[/tex]

So we've made statement 1 to be true. The angles 50 and 130 are indeed supplementary.

Now let's add some nonzero value to both sides. This will represent the measure of angle 3. If we add say 10 degrees to both sides, then,

[tex]50 + 130 = 180\\\\50 + 130+10 = 180+10\\\\50 + 130+10 = 190\\\\m\angle 1 + m\angle 2 + m\angle 3 = 190\\\\[/tex]

we don't get 180 like we want in the equation of statement 3. This is where the contradiction happens, more or less. One right side is 180, the other right side is 190. The 190 will change if you use some other value for angle 3, but hopefully you can see that it's impossible to add up angles 1 through 3 to get 180. It's only possible if angle 3 were zero degrees.

We can think of it like angles 1 and 2 hog up all the oxygen, and use up 180 points of it, leaving no air for angle 3 to breathe so that's why angle 3 must be 0. Furthermore, it means that a triangle is not possible if exactly two angles are supplementary.

----------------------

Extra info:

Answer:

C) l and lll

Step-by-step explanation:

m∠1+∠2=180

m∠1+m∠2+m∠3=180

180+m∠3=180

m∠3=0 but m∠3=∦0

-----------------------------------

hope it helps...

have a great day!!

Answer:

$207.66

Step-by-step explanation:

30% off is the same as saying there is 70% not off, and 70% is the same as 0.70

0.70*349= 244.30

15% off is the same as saying 85% is not off, and

85% is the same as 0.85

0.85*244.30=207.655

because it's money, you round to 2nd decimal place

$207.66

hope this was helpful :)

Answer:

1.) 0.357142857

2.)  2.2

3.) 1.35

Step-by-step explanation:

Answer:

y = -3x

Step-by-step explanation:

Answer:

the slope is 3

Step-by-step explanation:

find two points on the graph then do rise/run

Answer:

The answer is B

Step-by-step explanation:

Since we already know that angle A and D are congruent, if angles C and F were also congruent, we can prove the triangles are similar through AA, meaning the triangles have 2 sets of corresponding congruent angles. The other option D doesn’t work because if we were going off on using the sides as a way to prove similarly, than all 3 sides of one triangle would need to be proportional and corresponding to the other 3 of the other triangle (which is not given, so that info isn’t enough, option D only gives us 2 sides of each triangle)

Hope this helped ~~

Answer:

<A = 35degrees

<B =90degrees

<C = 55degrees

Step-by-step explanation:

Given the ratios of a triangle as 7:18:11

Total ratio = 7+18+11

Total ratio = 36

Since the smallest angle is 35degrees, hence <A = 35degrees

Get angle B;

<B = 18/36 * 180 (sum of angle in a triangle is 180degrees)

<B = 1/2 * 180

<B = 90degrees

Get angle C;

<C = 11/36 * 180

<C = 11 * 5

<C = 55degrees

Hence the value of A, B and C are 35, 90 and 55 degrees repectively

Answer:

60% of the test scores are less than or equal to 82

Step-by-step explanation:

Answer:

(-2^2)^-6 / (2^-5)^-4  --->  2^-32

(2^2)^2  x  (2^3)^-3   --->  2^-5

2^4  x  (2^2)^-2  --->  1

(-2^-4)^-2  x  (2^2)^0  --->  2^8

Answer:

y = -1/4x^2 - x + 3

Step-by-step explanation:

(-6,0)

(-4,3)

(2,0)

36a - 6b + c = 0

16a -4b + c = 3

4a + 2b + c = 0

c = -4a - 2b

36a - 6b - 4a -2b = 0

16a - 4b -4a - 2b = 3

32a -8b = 0

12a - 6b = 3

4a - b  = 0

4a - 2b = 1

b = -1

4a + 1 = 0

4a = -1

a = -1/4

c = 1 + 2 = 3

y = -1/4x^2 - x + 3

Answer:

Step-by-step explanation:

y = ax² + bx + c

( - 6)²a - 6b + c = 0 ⇒ 36a - 6b + c = 0

( - 4)²a - 4b + c = 3 ⇒ 16a - 4b + c = 3

2²a + 2b + c = 0 ⇒ 4a + 2b + c = 0

A = [tex]\left[\begin{array}{ccc}36&-6&1\\16&-4&1\\4&2&1\end{array}\right][/tex] = - 96

[tex]A_{a}[/tex] = [tex]\left[\begin{array}{ccc}0&-6&1\\3&-4&1\\0&2&1\end{array}\right][/tex] = 24

[tex]A_{b}[/tex] = [tex]\left[\begin{array}{ccc}36&0&1\\16&3&1\\4&0&1\end{array}\right][/tex] = 96

[tex]A_{c}[/tex] = [tex]\left[\begin{array}{ccc}36&-6&0\\16&-4&3\\4&2&0\end{array}\right][/tex] = - 288

a = [tex]\frac{A_{a} }{A}[/tex] = [tex]\frac{24}{-96}[/tex] = - [tex]\frac{1}{4}[/tex]

b = [tex]\frac{A_{b} }{A}[/tex] = - 1

c = [tex]\frac{A_{c} }{A}[/tex] = 3

y = - [tex]\frac{1}{4}[/tex] x² - x + 3

Answer:

(-2, -5).

Step-by-step explanation:

2--------> -2

6 -------> -5.

Answer:

(-2, -5)

Step-by-step explanation:

Answer: d(n)=170-85(n-1)

Step-by-step explanation: Khan Academy

Answer:

[tex]Pr = 0.233[/tex]

Step-by-step explanation:

Given

[tex]n = 300[/tex] --- total frequency

[tex]Purple = 70[/tex]

Required

The probability of purple

This is calculated as:

[tex]Pr = \frac{Purple}{n}[/tex]

So, we have:

[tex]Pr = \frac{70}{300}[/tex]

[tex]Pr = 0.233[/tex]

Answer:

$117

Step-by-step explanation:

[tex]210 \div 35 = 6[/tex]

[tex]19.50 \times 6 = 117[/tex]

Answer:

[tex] \dfrac{28}{81} [/tex]

Step-by-step explanation:

[tex]-\dfrac{4}{9}(-\dfrac{7}{9}) =[/tex]

[tex] = \dfrac{4 \times 7}{9 \times 9} [/tex]

[tex] = \dfrac{28}{81} [/tex]

27 cd

Step-by-step explanation:

(75 cd)(3m)^2 = (x)(5m)^2

x = (75 cd)(9 m^2)/(25 m^2)

= 27 cd

Answer:

10.2% but there is a chance of it being 8.8%

Step-by-step explanation:

there are total of 18 marbles to start

of this at the begining there is a 8/18 chance to draw a marble, now here is where it can get tricky so ive organized them into different groups, A and B

Option A: The Marbles are removed after

this would make the problem be 8/18 x 7/17 x 6/16

4/9 x 7/17 x 3/8 or 84/1224

simplify 42/612

simplify 21/306

(21/306) x 100 = 10.2%

Option B: The Marbles arent removed after

8/18 x 8/18 x 8/18

4/9 x 4/9 x 4/9

64/729 = .08779

.08779 x 100 = 8.8

8.8%

It depends on what youve learned in class, i would go with option A

-Gage Millar, Algebra 2 tutor

Answer:

I need to see the table bro

Answer: B.) 75%

Step-by-step explanation:

12 cans contain veggies and 5 cans are dented, since two of the dented cans contain veggies don't count those two. This means you'll add 12 and 3 which equals 15. 15 out of 20 is an example of three fourths or 75%.