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pishuonlain [190]
2 years ago
10

Alyssa drives 10 miles in 20 minutes. If she drove one hour in total at the same rate, how far did she go? i know the answer but

its not working for me on delta math
Mathematics
1 answer:
Fudgin [204]2 years ago
6 0

Answer:

30 miles

Step-by-step explanation:

20 x 3 is 60 minutes

10 x 3 is 30 miles

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A submarine travels 6.6 km due West from its base and then turns and travels due South for 3.9
geniusboy [140]

Answer:

7.7 km

Step-by-step explanation:

The submarine's path from its base forms a right triangle when its final position is "connected" to the base. We know that the right triangle has legs of 6.6 km and 3.9 km, and we need to find the length of its hypotenuse. To do so, we can use the Pythagorean Theorem, which states that in a right triangle, a^{2}+b^{2} =c^{2}, where a and b are the lengths of the triangle's legs and c is the length of the triangle's hypotenuse. In this case, we know what a and b are, and we need to solve for c, so after substituting the given values of a and b into a^{2}+b^{2} =c^{2} to solve for c, we get:

a^{2}+b^{2} =c^{2}

6.6^{2} +3.9^{2} =c^{2} (Substitute a=6.6 and b=3.9 into the equation)

43.56+15.21=c^{2} (Evaluate the squares on the LHS)

58.77=c^{2} (Simplify the LHS)

c^{2}=58.77 (Symmetric Property of Equality)

\sqrt{c^{2} } =\sqrt{58.77} (Take the square root of both sides of the equation)

c=7.7,c=-7.7 (Simplify)

c=-7.7 is an extraneous solution because you can't have negative distance, if that makes sense, so therefore, the submarine is approximately 7.7 km away from its base. Hope this helps!

7 0
3 years ago
HELP IF YOU WANT BRAINLIST!!!!
Harrizon [31]

Answer:-5.8

Explanation:4.5-8.3=-3.8 -3.8-2=5.8

7 0
2 years ago
What is the x-intercept for the equation? 3x + 6y = 24<br> -4<br> 4.<br> 8<br> -8
lesantik [10]

Answer:8

Step-by-step explanation: plug in 0 for y then solve

8 0
2 years ago
If 18 percent of the beads in a bag are green, 25 percent are red and 40 percent are purple. What is the probablity of choosing
sweet [91]

Answer:

P(G\ then\ R)=0.045

Step-by-step explanation:

From the question we are told that:

Percentage of  Green beads P_g=18

Percentage of  Red beads    P_r=18

Percentage of Purple beads P_p=18

Therefore

Probability of choosing a Green bead is

 P(G)=0.18

Probability of choosing a Red bead is

 P(R)=0.25

Generally the equation for choosing a green bead then a red bead is mathematically given by

Since Outcomes are independent

 P(G\ then\ R)=0.18*0.25

 P(G\ then\ R)=0.045

7 0
3 years ago
a) Suppose that a large mixing tank initially holds 300 gallons of water in which 50 pounds ofsalt have been dissolved. Pure wat
Kay [80]

Answer:

x  =  50*e∧ -t/100

Step-by-step explanation:

We assume:

1.-That the volume of mixing is always constant 300 gallons

2.-The mixing is instantaneous

Δ(x)t   =  Amount in  - Amount out

Amount  =  rate * concentration*Δt

Amount in  =  3 gallons/ min * 0  =  0

Amount out  = 3 gallons/min *  x/ 300*Δt

Then

Δ(x)t/Δt  =  - 3*x/300    Δt⇒0   lim Δ(x)t/Δt  =  dx/dt

dx/dt  =  - x/100

dx/ x  =  - dt/100

A linear first degree differential equation

∫ dx/x   =  ∫ - dt/100

Ln x  =  - t/100  +  C

initial conditions to determine C

t= 0     x =  50 pounds

Ln (50) = 0/100 * C

C =  ln (50)

Then final solution is:

Ln x  =  - t/100  + Ln(50)   or

e∧ Lnx   =  e ∧ ( -t/100 + Ln(50))

x  =  e∧ ( -t/100) * e∧Ln(50)

x  = e∧ ( -t/100) * 50

x  =  50*e∧ -t/100

4 0
2 years ago
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