Multiply the numbers and simplify the answer: 3 x 1- 3/4

Answers

Answer 1

Answer: $\underbrace{3*1}_(first)-(3)/(4)=3-(3)/(4)=2(1)/(4)$

$3*1(3)/(4)=3*(1*4+3)/(4)=3*(4+3)/(4)=(3)/(1)*(7)/(4)=(3*7)/(4)=(21)/(4)=(20+1)/(4)=(20)/(4)+(1)/(4)\n\center\boxed{=5(1)/(4)}$

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Kristen spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of then how many of each kind did she buy?

Answers

There would be two fancy shirts and five plain shirts because 28 times 2 equals 56 and 7 minus 2 equals 5 so 15 times 5 equals 75 and 75 plus 56 equals 131

Mikaela is competing in a race in which she both runs and rides a bicycle. She runs 5 kilometers in 0.5 hour and rides her bicycle 20 kilometers in 0.8 hour. A. At the rate given, how many kilometers can Mikaela run in 1 hour?
____________________
B. At the rate given, how many kilometers can Mikaela bike in 1 hour?
____________________
c. If Mikaela runs for 1 hour and bikes for 1 hour at the rates given, how far will she travel?
____________________

Answers

As Mikaela is running 5km in 0.5 hours, as you're looking for an hour, you double it. Therefore, she can run 10km in 1 hour.
As she bikes 20km in 0.8 hours- she bikes 5km in 0.2 of an hour, therefore, she bikes 25km per hour.
If she continues at this rate, she will travel 35km in 2 hours.
A) 10km
B) 25Km
C) 35 KM
Hope this helps :)

Mikaela can run 10 kilometers in 1 hour.

Mikaela can bike 25 kilometers in 1 hour.

If Mikaela runs for 1 hour and bikes for 1 hour at the given rates, she will travel a totaldistance of 35 kilometers.

We have,

To find the number of kilometers Mikaela can run in 1 hour, we can set up a proportion using the information given:

5 kilometers / 0.5 hour = x kilometers / 1 hour

Cross-multiplying, we get:

(5 kilometers) x (1 hour) = (0.5 hour) x (x kilometers)

Simplifying:

5 kilometers = 0.5x kilometers

To isolate x, we can divide both sides of the equation by 0.5:

5 kilometers / 0.5 = x kilometers

x = 10 kilometers

Similarly, to find the number of kilometers Mikaela can bike in 1 hour, we can set up a proportion:

20 kilometers / 0.8 hour = x kilometers / 1 hour

Cross-multiplying:

(20 kilometers) x (1 hour) = (0.8 hour) x (x kilometers)

Simplifying:

20 kilometers = 0.8x kilometers

Dividing both sides by 0.8:

20 kilometers / 0.8 = x kilometers

x = 25 kilometers

To find the totaldistance Mikaela will travel if she runs for 1 hour and bikes for 1 hour, we can simply add the distances:

Distance = distance run + distance biked

Distance = 10 kilometers + 25 kilometers

Distance = 35 kilometers

Therefore,

Mikaela can run 10 kilometers in 1 hour.

Mikaela can bike 25 kilometers in 1 hour.

If Mikaela runs for 1 hour and bikes for 1 hour at the given rates, she will travel a totaldistance of 35 kilometers.

Learn more about speed here:

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What is 6 and 3/4 add 1 and 6/7? Write answer as a mixed number thanks! Next Question: What is 9 and 1/5 takeaway 2 and 7/8? Write the answer as a mixed number ok! Next Question : What is 4 and 1/3 times 1 and 3/4 ? Write the answer as a mixed number ok thanks! Last question: What is 6 and 6/7 divided by 3 and 2/3 ? Write the answer as a mixed number!!!!! Ok thanks! Try and answer all the questions ok !!!!!!!!!

Answers

1). 6 3/4+1 6/7

= 27/4 + 13/7

= ((27 × 7) + (13 × 4)) / (4 × 7)

= (189 + 52) / 28

= 241/28

= 241/28

= 8 17/28

2). 9 1/5- 2 7/8

= 46/5 − 23/8

= ((46 × 8) − (23 × 5)) / (5 × 8)

= (368 - 115) / 40

= 253/40

= 253/40

= 6 13/40

3). 4 1/3* 1 3/4

= 13/3 × 7/4

= (13 × 7) / (3 × 4)

= 91/12

= 91/12

= 7 7/12

4). 6 6/7 ÷ 3 2/3

= 48/7 ÷ 11/3

= (48 × 3) / (11 × 7)

= 144/77

= 144/77

= 1 67/77

Hope I helped!

1. $6 (3)/(4)+1 (6)/(7):6+1=7. [tex] (3*7)/(4*7)= (21)/(28) \ and \ (6*4)/(7*4)= (24)/(28) \n$ Add: $(21)/(28)+ (24)/(28)= (45)/(28) \n$ $Answer:\boxed{7 (45)/(28)} \n$ 2. $9 (1)/(5)-2 (7)/(8):9-2=7. [tex] (1*8)/(5*8)= (8)/(40) \ and \ (7*5)/(8*5)= (35)/(40) \n$ Subtract: $(35)/(40)- (8)/(40)= (27)/(40) \n$ Answer: $\boxed{7 (27)/(40)} \n$ 3. $4 (1)/(3)*1 (3)/(4):4*1=4.[tex] (1*4)/(3*4)= (4)/(12) \ and \ (3*3)/(4*3)= (9)/(12) \n$ Cross Multipy: $(4)/(12)* (9)/(12)= (9)/(36) \n$ Simplify:4 \frac{9}{36}=4 \boxed{3}{12}=4 \boxed{1}{4} $\n Answer:\boxed{4 (1)/(4)} \n$ 4. 6 \frac{6}{7}÷3 \frac{2}{3}:6÷3=3. $(6*2)/(7*2)= (12)/(14) \ and \ (3*7)/(2*7)= (21)/(14) \n$ Multiply: $(12)/(14)* (21)/(14)= (252)/(14) \n$ Simplify: $3 (252)/(14)=3 (18)/(1) \n$ Answer: $\boxed{3 (18)/(1)} \n$

Which number is equivalent to 3⁴ ÷ 3²

Answers

Answer: 3²

Step-by-step explanation: In this problem, notice that our 3's are bases. So as we apply the quotient rule to divide these two powers, we subtract the exponents but leave the base alone.

So 3⁴ / 3² = 3².

If 21 and 22 are complementary angles, and m/1 = 74°; find m22.

Answers

Answer:

The measure of angle 22 is 16 degrees.

Step-by-step explanation:

Complementary angles are angles that add to 90 degrees.

m21 + m22 = 90

74+ m22 = 90

m22 = 90-74

m22 = 16

The measure of angle 22 is 16 degrees.

Tran is solving the quadratic equation 2x2 – 4x – 3 = 0 by completing the square. His first four steps are shown in the table.In which step did Tran first make an error?
Step 1
Step 2
Step 3
Step 4

Answers

The answer is Step 3.

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