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LUCKY_DIMON [66]
3 years ago
15

Dina and Masha started out on a 12 mi bike path at the same time. When Dina reached the end of the 12 mi, Masha still had 3 mi l

eft to bike. If Dina’s biking speed is 8 mph, find Masha’s biking speed.
Mathematics
2 answers:
andrew11 [14]3 years ago
7 0

Answer:

6mph

Step-by-step explanation:

Anna35 [415]3 years ago
6 0

Answer:

6 mph

Step-by-step explanation:

Use formula

D=r\cdot t,

where

D = distance

r = rate

t = time

In your case,

D = 12 mi

<u>Dina:</u>

D = 12 mi

r = 8 mph

t = ?

So,

12=8t\\ \\t=\dfrac{12}{8}=\dfrac{3}{2}=1.5\ hours

<u>Masha:</u>

D = 12 - 3 = 8 mi

r = ?

t = 1.5 hours

Then

9=1.5r\\ \\r=\dfrac{9}{1.5}=\dfrac{90}{15}=6\ mph

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What are the sizes of angles a, b, c and d? ​
Lilit [14]

Answer:

a = 26°

b = 48°

c = 26°

d = 106°

Step-by-step explanation:

c +  {154}^{o}  =  {180}^{o}  \\ c =  {180}^{o}  -  {154}^{o}  \\ c =  {26}^{o}

a = c (Alternate angles)

a =  {26}^{o}

b =  {48}^{o}

Corresponding angles

(a + d) + b = 180° (Interior angles)

{26}^{o}  + d +  {48}^{o}  =  {180}^{o}  \\ d +  {74}^{o}  =  {180}^{o}  \\ d =  {180}^{o}  -  {74}^{o}  \\ d =  {106}^{o}

8 0
2 years ago
Solve for x: 3(x + 1) = -2(x - 1) - 4
shepuryov [24]

Answer:

x = -1

Step-by-step explanation:

3(x+1) = -2(x-1) - 4

3x + 3 = -2x + 2 - 4

3x + 3 = -2x - 2

Add the -2x to both sides

5x + 3 = -2

Subtract the 3 to both sides

5x = -5

Divide both sides by 5

x = -1

4 0
3 years ago
1. Each kid eats the same amount of food each morning.
Serhud [2]

Answer:

a) One kid eat tubs of yogurt = 1.3 tub of yogurt

b) One kid eat granola = 3.33 ounces

c) cost to feed one kid each morning is $1.12

Step-by-step explanation:

Three kids eat tubs of yogurt = 4

Three kids eat granola = 10 ounces

Cost of one tub of yogurt = 54 cents

Cost of 10 ounces of cereal = $1.26

a) One kid eats how many tubs of yogurt in a morning?

Three kids eat tubs of yogurt = 4

One kid eat tubs of yogurt = 4/3

                                            = 1.3 tub of yogurt

b) How many ounces of granola does a kid eat each morning?

Three kids eat granola = 10 ounces

One kid eat granola = 10/3

                                  = 3.33 ounces

c) How much does it cost to feed one kid each morning?

Cost of 1 tub of yogurt = 54 cents

Cost of 1.3 tub of yogurt = 54*1.3 = 70.2 cents

Converting cents to dollar:

100 cents = 1 dollar

70.2 cents = $0.7

So, Cost of 1.3 tub of yogurt (for one kid)= $0.7

Cost of 10 ounces of cereal = 1.26

Cost of 1 ounce of cereal = 1.26/10

Cost of 3.33 ounces of cereal = (1.26/10)*3.33

                                                 = $0.42

Cost of 3.33 ounces of cereal (for one kid) = $0.42

Total cost for each kid = $0.42+$0.7 = $1.12

So, cost to feed one kid each morning is $1.12

7 0
2 years ago
Lilli jogs 12 mile in 110 hour. What is Lilli's rate in miles per hour?
KIM [24]

Answer:

.109090909 miles per hour

Step-by-step explanation:

To find miles per hour, take the miles and divide by the hours

12 miles/110 hours

.109090909 miles per hour

6 0
2 years ago
Read 2 more answers
12. How many students scored at least 60 on the test?<br> a) 3<br> b) 4<br> c) 11<br> d) 7
Troyanec [42]
4
i don’t have an explanation
7 0
3 years ago
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