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lions [1.4K]
3 years ago
5

Can anyone answer these 4? if so ill give 40 points. please show work!! and no long division please. , thanks!

Mathematics
1 answer:
dolphi86 [110]3 years ago
6 0
54x89=4806

123x85=10,455

64x15=960

264x14=3,696
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Find the value of c and AB if B is between A and C,AB=2r,AC=-5and BC=7​
elena-14-01-66 [18.8K]

AB=2r

BC=7

AC=AB+BC

-5=2r+7

-12=2r

-6=r

AB=-12

6 0
3 years ago
sally gave her brother 3.95 in quarters and dimes. if the number of quarters is 6 more then the number of dimes, how many quarte
iragen [17]
Let q be the number of 25 cent coins.
Let d be the number of 10 cent coins.
0.25q+0.10d= 3.95...(1)
q-d=6...(2)

(2)->    q-d= 6
       q-d+d= 6+d
              q= 6+d...(2a)

(2a)-> (1)      0.25q+0.10d=3.95
              0.25(6+d)=0.10d= 3.95
           1.95+0.25d+0.10d= 3.95
                               0.35d= 3.95-1.5
                       0.35d/0.35= 2.45/0.35
                                      d= 7...(3)

(3)->(2)     q-d= 6
                 q-7= 6
                    q=6+7
                    q= 13
There are 13 quarters and 7 dimes.
7 0
3 years ago
Solve the following problem. Choose the correct answer. Ink, Inc., offers pencils at $1.10 per dozen, with a 1.5% discount for p
S_A_V [24]
The answer to the question

8 0
3 years ago
Read 2 more answers
A trough is 8 feet long and has perpendicular cross section in the shape of an isosceles triangle (point down) with base 1 foot
murzikaleks [220]

Answer:

Dh/dt  = 0.082 ft/min

Step-by-step explanation:

As a perpendicular cross section of the trough is in the shape of an isosceles triangle the trough has a circular cone shape wit base of  1 feet and height     h = 2 feet.

The volume of a circular cone is:

V(c)  = 1/3 * π*r²*h

Then differentiating on both sides of the equation we get:

DV(c)/dt   = 1/3* π*r² * Dh/dt   (1)

We know that DV(c) / dt   is  1 ft³ / 5 min      or     1/5  ft³/min

and  we are were asked how fast is the water rising when the water is 1/2 foot deep. We need to know what is the value of r at that moment

By proportion we know

r/h  ( at the top of the cone  0,5/ 2)   is equal to  r/0.5  when water is 1/2 foot deep

Then      r/h   =   0,5/2   =  r/0.5

r  =  (0,5)*( 0.5) / 2        ⇒   r  =  0,125 ft

Then in equation (1) we got

(1/5) / 1/3* π*r² =  Dh/dt

Dh/dt  = 1/ 5*0.01635

Dh/dt  = 0.082 ft/min

4 0
3 years ago
A circle's radius that has an initial radius of 0 cm is increasing at a constant rate of 7 cm per second. Write a formula to exp
Alex Ar [27]

Answer:

r = 7t

or not mathematically,

r(t) = 7t

r(t) means, r, which is a function of t.

Step-by-step explanation:

Initial size of the radius = 0 cm, at t = 0 s

Rate of increase of the radius of the circle = 7 cm/s

dr/dt = 7

dr = 7 dt

∫ dr = 7 ∫ dt

r = 7t + C (C is the constant of integration)

At t = 0, r = 0,

0 = 0 + C

C = 0

r = 7t.

r(t) = 7t

3 0
3 years ago
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