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
Art [367]
3 years ago
14

Michelle and Michael collect baseball cards. Michael has 5 more cards then Michelle. Together they have 27 cards. How many cards

does each have.
Mathematics
2 answers:
kap26 [50]3 years ago
5 0
Michael is x. Michelle is y.
x+y=27
x-5=y

Substitute y
x+(x-5)= 27
2x-5=27
2x=32
x=16

Plug in x value
(16)+y=27
y=11

Final answer: Michael-16, Michelle-11
Alina [70]3 years ago
5 0
Create an algebraic equation to solve:
x+x+5=27
x=Michelle

Solve for x.
Add like terms
2x+5=27
Subtract 5 from both sides.
(2x+5)-5=(27)-5
2x=22
Divide 2 from both sides.
(2x)/2=(22)/2
x=11

Michelle has 11 cards.
27-11
=16
Michael has 16 cards.

Hope this helps!
-Benjamin


You might be interested in
Latisha hiked along a trail that was 9.66 miles long last Saturday. It took her 4.2 hours to complete the trail.What was Latisha
lesya [120]
V = d / t = 9.66 / 4.2 = 2.3mph
8 0
4 years ago
Graph the line 2x + y = 7.
OLga [1]

Answer:f

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A giant tank in a shape of an inverted cone is filled with oil. the height of the tank is 1.5 metre and its radius is 1 metre. t
skad [1K]

The given height of the cylinder of 1.5 m, and radius of 1 m, and the rate

of dripping of 110 cm³/s gives the following values.

1) The rate of change of the oil's radius when the radius is 0.5 m is r' ≈ <u>9.34 × 10⁻⁵ m/s</u>

2) The rate of change of the oil's height when the height is 20 cm is h' ≈ <u>1.97 × 10⁻³ m/s</u>

3) The rate the oil radius is changing when the radius is 10 cm is approximately <u>0.175 m/s</u>

<h3>How can the rate of change of the radius & height be found?</h3>

The given parameters are;

Height of the tank, h = 1.5 m

Radius of the tank, r = 1 m

Rate at which the oil is dripping from the tank = 110 cm³/s = 0.00011 m³/s

1) \hspace{0.15 cm}V = \frac{1}{3} \cdot \pi \cdot r^2 \cdot h

From the shape of the tank, we have;

\dfrac{h}{r} = \dfrac{1.5}{1}

Which gives;

h = 1.5·r

V = \mathbf{\frac{1}{3} \cdot \pi \cdot r^2 \cdot (1.5 \cdot r)}

\dfrac{d}{dr} V =\dfrac{d}{dr}  \left( \dfrac{1}{3} \cdot \pi \cdot r^2 \cdot (1.5 \cdot r)\right) = \dfrac{3}{2} \cdot \pi  \cdot r^2

\dfrac{dV}{dt} = \dfrac{dV}{dr} \times \dfrac{dr}{dt}

\dfrac{dr}{dt} = \mathbf{\dfrac{\dfrac{dV}{dt} }{\dfrac{dV}{dr} }}

\dfrac{dV}{dt} = 0.00011

Which gives;

\dfrac{dr}{dt} = \mathbf{ \dfrac{0.00011 }{\dfrac{3}{2} \cdot \pi  \cdot r^2}}

When r = 0.5 m, we have;

\dfrac{dr}{dt} = \dfrac{0.00011 }{\dfrac{3}{2} \times\pi  \times 0.5^2} \approx  9.34 \times 10^{-5}

The rate of change of the oil's radius when the radius is 0.5 m is r' ≈ <u>9.34 × 10⁻⁵ m/s</u>

2) When the height is 20 cm, we have;

h = 1.5·r

r = \dfrac{h}{1.5}

V = \mathbf{\frac{1}{3} \cdot \pi \cdot \left(\dfrac{h}{1.5} \right) ^2 \cdot h}

r = 20 cm ÷ 1.5 = 13.\overline3 cm = 0.1\overline3 m

Which gives;

\dfrac{dr}{dt} = \dfrac{0.00011 }{\dfrac{3}{2} \times\pi  \times 0.1 \overline{3}^2} \approx  \mathbf{1.313 \times 10^{-3}}

\dfrac{d}{dh} V = \dfrac{d}{dh}  \left(\dfrac{4}{27} \cdot \pi  \cdot h^3 \right) = \dfrac{4 \cdot \pi  \cdot h^2}{9}

\dfrac{dV}{dt} = \dfrac{dV}{dh} \times \dfrac{dh}{dt}

\dfrac{dh}{dt} = \dfrac{\dfrac{dV}{dt} }{\dfrac{dV}{dh} }<em />

\dfrac{dh}{dt} = \mathbf{\dfrac{0.00011}{\dfrac{4 \cdot \pi  \cdot h^2}{9}}}

When the height is 20 cm = 0.2 m, we have;

\dfrac{dh}{dt} = \dfrac{0.00011}{\dfrac{4 \times \pi  \times 0.2^2}{9}} \approx \mathbf{1.97 \times 10^{-3}}

The rate of change of the oil's height when the height is 20 cm is h' ≈ <u>1.97 × 10⁻³ m/s</u>

3) The volume of the slick, V = π·r²·h

Where;

h = The height of the slick = 0.1 cm = 0.001 m

Therefore;

V = 0.001·π·r²

\dfrac{dV}{dr} = \mathbf{ 0.002 \cdot \pi \cdot r}

\dfrac{dr}{dt} = \mathbf{\dfrac{0.00011 }{0.002 \cdot \pi  \cdot r}}

When the radius is 10 cm = 0.1 m, we have;

\dfrac{dr}{dt} = \dfrac{0.00011 }{0.002 \times \pi  \times 0.1} \approx \mathbf{0.175}

The rate the oil radius is changing when the radius is 10 cm is approximately <u>0.175 m</u>

Learn more about the rules of differentiation here:

brainly.com/question/20433457

brainly.com/question/13502804

3 0
3 years ago
Which equation is equivalent to 3/4=2x-1/2y+4
lyudmila [28]

Answer:

option a and d

Step-by-step explanation:

\frac{3}{4}  =  \frac{2x - 1}{2y + 4} \\ 3(2y + 4) = 4(2x - 1) \\ 6y + 12 = 8x - 4 \\ now \\ 6y = 8x - 4 - 12 \\ 6y = 8x - 16 \\ y =  \frac{8x - 16}{6} \\   y =  \frac{8x}{6}  -  \frac{16}{6}  \\ y =  \frac{4x}{3}  -  \frac{8}{3}  \\ y =  \frac{4}{3} x -  \frac{8}{3}  \\a nd \\  \\ 6y + 12 = 8x - 4 \\  6y + 12 + 4 = 8x \\ 6y + 16 = 8x \\  \frac{6y + 16}{8}  = x \\  \frac{6y}{8}   +  \frac{16}{8}  = x \\  \frac{3y}{4}  + 2 = x \\  x = \frac{3}{4} y + 2

6 0
3 years ago
What is the value of x in the proportion (x-1)/5=(4x+2)/35
neonofarm [45]
(x-1)/5 = (4x + 2)/35

lets start off by multiplying each side by 5

(x-1) = 5(4x + 2)/35

then let's multiply both sides by 35

35(x-1) = 5(4x + 2)

now let's distribute the coefficients (5 and 35) into everything in the brackets

35 times x is 35x
35 rimes 1 is 35

5 times 4x is 20x
5 times 2 is 10

(35x - 35) = (20x + 10)

we can add 35 to both sides

35x = 20x + 45

then subtract 20x on both sides

15x = 45

then divide both sides by 15

x = 3
4 0
3 years ago
Other questions:
  • Without multiplying, determine the sign of the product (−468,256) × (−183,758).
    13·2 answers
  • Melissa has a choice of two phone plans.
    13·1 answer
  • I need to know where did kellys collection go the most?
    6·2 answers
  • Your round-trip drive to work is 4 io miles. How many miles do you drive to and from
    15·1 answer
  • What is the answer to this problem <br>3 over 5=c+1 over 4
    15·1 answer
  • The boiling temperature (in degrees Celsius) of platinum is 199 more than four times the boiling temperature $z$ (in degrees Cel
    15·1 answer
  • Eric drove 804 miles in 12 hours. At the same rate, how many miles would he drive in 8 hours?
    9·2 answers
  • Parker owns a food truck that sells tacos and burritos. He sells each taco for $3.25 and each burrito for $7. Yesterday Parker m
    11·1 answer
  • Eli ran for 27 minutes. He stopped running 5:42 what time did Eli start running
    11·2 answers
  • If b = 5, what is 632<br> 15<br> 25<br> 75<br> 125
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!