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3 years ago

Question 2

Mathematics

1 answer:

ikadub [295]3 years ago

7 0

Answer:

-11.5

Step-by-step explanation:

4(x + 12) = 2

Distribute

4x + 48 = 2

Subtract 48 from both sides

4x = -46

Divide both sides by 4

x = -11.5

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Joshua traveled 5 hours from City A to City B. The distance between the cities is 260 miles. First he traveled at the constant s

ruslelena [56]

Joshua travelled for 3 hours at the constant speed of 60 mi/h

<h3>Solution:</h3>

Given that, Joshua traveled 5 hours from City A to City B

The distance between the cities is 260 miles.

First he traveled at the constant speed of 40 mi/h, and then at the constant speed of 60 mi/h.

So, let the number of hours he travelled with 40 mi/h be "n" hours and the distance travelled be "x" miles

Then, the time in which he travelled with 60 mi/h will be 5 – n hours and distance travelled will be 260 – x miles

We have to find how many hours did he travel at the constant speed of 60 mi/h

The relation between speed and distance is given as:

$\text { distance }=\text { speed } \times \text { time. }$

$\begin{array}{l}{40 \mathrm{mil} / \mathrm{h} \times \mathrm{n} \text { hours }= x \text { miles }} \\\\ {\rightarrow x=40 \mathrm{n} \rightarrow(1)} \\\\ {\text { And } 60 \times(5-\mathrm{n})=260-x \text { miles }}\end{array}$

$\begin{array}{l}{\rightarrow 300-60 n=260-40 n(\text { from }(1))} \\\\ {\rightarrow 60 n-40 n=300-260} \\\\ {\rightarrow 20 n=40} \\\\ {\rightarrow n=2}\end{array}$

So, he travelled 2 hours with speed of 40 mi/h and 5 – 2 = 3 hours with speed of 60 mi/h

Hence, he travelled for 3 hours

5 0

3 years ago

MZ3 = 64 m_4 = 106° and 4 2 3 1 What is mZ1,

ddd [48]

Answer: m∠1=42°

Step-by-step explanation

For this problem, we can separate the triangle into 2 separate triangles to solve for m∠1.

We know that m∠4 is 106°. ∠2 and ∠4 are supplementary angles. You can see that they make a straight line of 180°. We can use this fo find ∠2.

∠2+∠4=180

∠2+106=180

∠2=74°

Now that we know ∠2 is 74°, we can use that to solve for m∠1.

We know that the measures of the angles in a triangle equal to 180°. For the triangle at the bottom, we see ∠3, ∠2, ∠1. Since we know ∠3 and ∠2, we can find ∠1.

∠3+∠2+∠1=180

64+74+∠1=180

138+∠1=180

∠1=42°

4 0

4 years ago

The manager of a grocery store estimates that 74% of customers will make a purchase.

pishuonlain [190]

Answer:

A : Per 100 people, cashier should expect 26 customer until he finds a costumer that makes a purchase.

B: The probability is 1/4

Step-by-step explanation:

The estimated chance of a customer making a purchase = 74%

So, if a TOTAL of 100 people visit the grocery store on any random day,

then 74 % of customers

= 74% of 100

= 74 people will make purchases.

⇒ Out of total 100 people visiting, 74 people will make a purchase.

So, the number of people NOT making a purchase = 100 - 74 = 26

⇒ Out of total 100 people visiting, 26 people will NOT make a purchase.

Also, 26 = 26% of 100

Part A :

So, in order to make a purchase, cashier should expect 26% of customers because the percentage of NOT purchasing is 26%.

Hence, per 100 people, cashier should expect 26 customer until he finds a costumer that makes a purchase.

Part B :

The percentage of customer making a purchase = 74%

The percentage of people NOT making a purchase = 26%

So, for every 3 customer making a purchase there is a 1 person NOT making a purchase.

So, the probability is 1/4

8 0

3 years ago

If three standard six-sided die were rolled with the numbers showing on each recorded, how many equally likely outcomes would be

Kazeer [188]

Answer:

216

Step-by-step explanation:

You are rolling three die three times

a die has six sides

to obtain the sample space

we would have to multiply 6 x 6 x 6

which could account for the three roles which would be equivalent to the sample space

6^3

8 0

2 years ago

Does the point (273, 2) lie on the circle that is centered at the origin and contains the point (0, -4)? Explain?

valina [46]

Answer:

No, the point (273, 2) does not lie on the circle that is centered at the origin and contains the point (0, -4)

Step-by-step explanation:

The circle centered at the origin that contains the point (0,-4) has equation:

${x}^{2} + {y}^{2} = 16$

If the point (273,2) lies on this circle , then it must satisfy this equation:

${273}^{2} + {2}^{2} = 74533$

Since

$16 \ne74533$

The point does not lie on this circle.

7 0

3 years ago