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Vlada [557]
3 years ago
7

A car travels to 253 miles in eight hours how far can you travel in seven hours?

Mathematics
1 answer:
slava [35]3 years ago
8 0
<h2><u>DIRECT RULE OF 3</u></h2>

We use a rule of 3 to solve it.

Let's record the data:

253 miles  →  8 hours

‎    x  miles  →  7 hours

‎      

Let's solve:‏‏‎

\mathsf{x = \dfrac{7(253)}{8}}

\mathsf{x = \dfrac{1771}{8}}

\large{\boxed{\mathsf{x = 221,375}}}

‎      ‏‏‎

<h3><u>Answer</u>. The car can travel 221,375 miles in seven hours.</h3>

‎      

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According to data from the state blood program, 40 percent of all individuals have group A blood. If six individuals give blood,
Serjik [45]

Answer: 0.27648

Step-by-step explanation:

Given : The proportion of all  individuals have group A blood : p=0.040

Total individuals give blood : n= 6

Let X be the number of individuals have group A blood.

Since all individual are independent of each other.

X\sim Bin(n=6, p=0.40)

Formula : P(X=x)=^nC_xp^x(1-p)^{n-x} , where n= sample size , p = probability of getting success in each trial.

The probability that exactly three of the individuals have group A blood. :

P(x=3)= ^6C_3(0.40)^3(1-0.4)^3\\\\= \dfrac{6!}{3!3!}\times(0.40)^3(0.60)^3\\\\=0.27648

The probability that exactly three of the individuals have group A blood. is 0.27648

8 0
3 years ago
Green paint is made by mixing blue, yellow and white paints in the ratio 2 : 7 : 1. How much blue paint is needed to make 64 lit
Lyrx [107]

Answer:

12.5 litres of Blue paint

Step-by-step explanation:

2+7+1=10

therefore;

10=64

2=??

cross-multiply

(2×64)÷10

answer= 12.4 liters or 12.5

6 0
3 years ago
What is the value of the rational expression below when xis equal to 4?
horrorfan [7]
The answer is the letter c. 3
4 0
3 years ago
Robert's dog is 4 years older than Karen's cat. In 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. How
mylen [45]

Answer:

5.5 years old.

Step-by-step explanation:

Let D represent present age of Robert's dog and C represent present age of Karen's cat.

We have been given that Robert's dog is 4 years older than Karen's cat. We can represent this information in an equation as:

D=C+4...(1)

We are also told that in 3 years, the sum of the ages of Robert's dog and Karen's cat will be 13. After 3 years age of dog and cat would be D+3 and C+3 respectively.

We can represent this information in an equation as:

D+3+C+3=13...(2)

From equation (1), we will get:

C=D-4

Upon substituting this value in equation (2), we will get:

D+3+D-4+3=13

Combine like terms:

2D+2=13

2D+2-2=13-2

2D=11

\frac{2D}{2}=\frac{11}{2}

D=5.5

Therefore, Robert's dog is 5.5 years old right now.

3 0
3 years ago
Can someone please tell me the answer on this.
marishachu [46]

Answer: x = 31

Step-By-Step:

<u>To Find x:</u>

<u />\left(2x+20\right)+\left(x+10\right)+\left(2x-5\right)=180 (Angle Sum Property Of Triangles)

(Remove the brackets)

<u />2x+20+x+10+2x-5=18<u />

(Group Accordingly)

<u />2x+x+2x+20+10-5=180<u />

= 5x+20+10-5=180

= 5x\:+\:25 =180

= 5x= 180 - 25

= 5x = 155

= x=\frac{155}{5}

= 31

<u>Therefore</u> x = 31

So,

Angle A = x + 10 = 31 + 10 = 41

Angle B = 2*x + 20 = 2*31 + 20 = 82

Angle C = 2*x - 5 = 62 - 5 = 57

5 0
2 years ago
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