Ruben is driving along a highway that passes through Barstow. His distance d, in miles, from Barstow is given by the equation
d = |210 − 60t|,
where t is the time, in hours, since the start of his trip and
0 ≤ t ≤ 5.
When will Ruben be exactly 90 miles from Barstow? (Enter your answers as a comma-separated list.)

Answers

Answer 1

The absolute value of a number returns the positive value of the given number. Ruben will be at exactly 90 miles in 2 hours or 5 hours

Given that:

[tex]d = |210 - 60t|[/tex]

To calculate t when [tex]d = 90[/tex], we have:

[tex]90 = |210 - 60t|[/tex]

Rewrite as:

[tex]|210 - 60t| = 90[/tex]

Remove absolute bracket

[tex]210 - 60t = 90 \ or\ 210 - 60t = -90[/tex]

Collect like terms

[tex]- 60t = -210 + 90 \ or\ - 60t = -210 -90[/tex]

[tex]- 60t = -120 \ or\ - 60t = -300[/tex]

Divide through by -60

[tex]t = 2 \ or\ t = 5[/tex]

Hence, Ruben will be at exactly 90 miles in 2 hours or 5 hours

Read more about absolute values at:

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Related Questions

Evaluate the exprssion when a= -5
a2+6a-9

Answers

Answer:

-49

Step-by-step explanation:

Substitute the a for -5

2(-5)+6(-5)-9

Multiply:

-10+-30-9

Add:

-40-9

Subtract (Add negatives):

-49

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

-14

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\text{Assuming that the expression is: } a^2 + 6a -9[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Evaluating...}}\\\\a^2+6a - 9\\-----------\\(-5)^2 + 6(-5) - 9\\\\\rightarrow (-5)^2 = 25\\\\\rightarrow 6 * -5 = -30\\\\25 - 30 - 9\\\\\rightarrow \boxed{-14}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Fully factorise: 4x2−25
NEED ANSWER ONLY DON'T SHOW STEPS. URGENT!!!

a. (2x+5)(2x−5)
b. (2x−5)(2x−5)
c. (4x+5)(x−5)
d. (3x+20)(x+5)

Answers

Answer:

The correct choice is option a.  (2x+5)(2x−5)

Answer:

Option a. (2x+5)(2x-5)

Step-by-step explanation:

4x2 - 25

Furthermore, this is the difference of squares formula we will use to factor 4x^2-25:

a2 - b2 = (a + b) • (a − b)

As you can see, our problem does not look like the left side of the formula, so first we have to convert our problem to match the left side like so:

4x2 - 25 = (2x)2 - 52

Now that it matches, we can simply plug in 2x for a and 5 for b into the formula to get the factors of 4x^2-25:

(2x + 5) • (2x − 5)

________________________________

I know this is urgent but still I gave you the explanation so that whenever you're confused with questions like that then these steps can help you.


Solve for x.
(2x - 5°
(5x + 10)
B

Answers

i think the answer is x=25. if not then it’s x=-5

7 - 3x = 2x + 7 – 5x
Step by step

Answers

Answer:

0

Step-by-step explanation:

7-7=2x-5x+3x

0=2x-5x+3x

A triangle has side lengths of (7n-2p) centimeters, (2n+4q) centimeters, and (q-5p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answers

Answer:

It is 9n - 7p + 5q

Step-by-step explanation:

Perimeter formular:

[tex]perimeter = (side + side + side)[/tex]

substitute:

[tex]p = \{(7n - 2p) + (2n + 4q) + (q - 5p) \} \\ [/tex]

group like terms together:

[tex] = (7n + 2n) + ( - 2p - 5p) + (4q + q) \\ = 9n - 7p + 5q[/tex]

A(3,8), B(3,-2), C( t ,1 ), if AB=2BC, find the possible values of t.​

Answers

Find the distance between A and B, AB,

[tex]AB=\sqrt{(3-3)^2+(-2-8)^2}=10[/tex]

Next, find the distance between B and C, BC,

[tex]BC=\sqrt{(t-3)^2+(1-2)^2}=\sqrt{(t-3)^2+1}[/tex]

The equation is,

[tex]10=2\sqrt{(t-3)^2+1}[/tex]

[tex]25=(t-3)^2+1[/tex]

[tex]t^2-3t+10=25[/tex]

[tex]t^2-3t-15=0[/tex]

Use quadratic formula to get possible values of t,

[tex]t_1=\frac{3+\sqrt{69}}{2}[/tex]

[tex]t_2=\frac{3-\sqrt{69}}{2}[/tex]

Hope this helps :)

Find the midpoint, M, of AB.
А
M
B
[?]
22

Answers

Answer:

M=11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

To find the midpoint ( or middle) we take the average of the endpoints

(A+B)/2 = (0+22)/2 = 22/2 = 11

Solve for a: 7a = 63

Answers

Answer:

a = 9

Step-by-step explanation:

7a = 63

Divide 7 on both sides,

=> 7a/7 = 63/7

=> a = 9

The mass of the eggs laid by a certain breed of hen is a normally distributed random variable with mean 0.06kg and standard deviation 0.009kg. If a random sample of 1800 eggs are sold, how many would you expect to have mass; (i)Less than 0.052 kg (standard size). (ii)Between 0.052 kg and 0.075kg (medium size).(iii)Greater than 0.075 kg (large size).

(b)If the cost of producing an egg in (a) is Gh¢0.45 and selling price of each standard, medium and large size eggs are Gh¢0.60, Gh¢0.80, and Gh¢0.95 respectively, calculate (i)The expected profit to be made from selling the standard size, medium size and large size eggs. (ii)The overall profit.​

Answers

a (i) The number of standard size is 288 eggs

a (ii) The number of medium size is 1,476 eggs

a (iii) The number of large size is 36 eggs

b (i) The expected profit made from selling the standard size is Gh¢43.2

b (ii) The expected profit made from selling the medium size is Gh¢516.6

b (iii) The expected profit made from selling the large size is Gh¢16.2

The given parameters:

the mean of the distribution, m = 0.06 kg

standard deviation (std) of the distribution, d = 0.009 kg

number of the samples, n = 1800 eggs

(i) Find the position of "less than 0.052 kg (standard size)":

1 standard deviation below the mean = m - d m - d = 0.06 kg  -  0.009 kg = 0.051 kg

(the standard size is 1 standard deviation below the mean)

less than 1 standard deviation below the mean in a normal distribution is equal to 16% of the data samplesNumber of standard size = 0.16 x 1800 = 288 eggs

(ii) Find the position of "Between 0.052 kg and 0.075kg (medium size)":

0.052 kg is 1 standard deviation below the mean2 standard deviation above the mean = m + 2dm + 2d = 0.06 + 2(0.009) = 0.078 kg

(the medium size is between 1 std below the mean and 2 std above the mean)

Between 1 std below the mean and 2 std above the mean in a normal distribution = (68 + 14)% = 82%Number of medium size = 0.82 x 1800 = 1,476 eggs

(iii) Find the position of "Greater than 0.075 kg (large size)":

0.078 kg is 2 standard deviation below the meangreater than 2 std above the mean in a normal distribution = 2 % of the data samples Number of large size = 0.02 x 1800 = 36 eggs

Check: 288 eggs + 1476 eggs + 36 eggs = 1,800 eggs

(b) the cost of production of an egg = Gh¢0.45

the selling price of the standard size = Gh¢0.60

the selling price of the medium size = Gh¢0.80

the selling price of the large size = Gh¢0.95

(i) The expected profit made from selling the standard size:

Profit = total revenue - cost of production

Profit = 288(0.6) - 288(0.45) = Gh¢43.2

(ii) The expected profit made from selling the medium size:

Profit = total revenue - cost of production

Profit = 1476(0.8) - 1476(0.45) = Gh¢516.6

(iii) The expected profit made from selling the large size:

Profit = total revenue - cost of production

Profit = 36(0.9) - 36(0.45) = Gh¢16.2

Learn more here: https://brainly.com/question/22520030

If m ABC=25 and m CBD= 35 then m ABD=

Answers

Answer:

Angle ABD = 60

Step-by-step explanation:

Angle ABD = angle ABC + angle CBD

We are given that angle ABC = 25 and angle CBD = 35

So angle ABD = 25 + 35 = 60

Answer:

60

Step-by-step explanation:

to find the length of the entire angle, you will have to add both seperated sides to find it.

<ABC = 25

<CBD = 35

25 + 35 = 60

So, <ABD = 60

Hope this helped.

Please help solve please

Answers

Answer:

The choose D) -12

Step-by-step explanation:

[tex]3 {x}^{ - 4} \times x {y}^{2} \\ 3( { - 1}^{ - 4} ) \times ( - 1)(2)^{2} \\ \frac{3}{ - 1^{4} } \times - 1(4) \\ 3 \times - 4 \\ = - 12[/tex]

I hope I helped you^_^

The answer is -12
The picture below explains it

8/6-5/4=
Please help quick

Answers

Answer:

1/12

Step-by-step explanation:

It is 1/12 :0) :) :)

Halo
please help me

Answers with Solution, ok?

Answers

MATHEMATICS // ANSWER

The correct answer is letter C. 75. 36m³ :)

Here's the Solution:

V = π r²hV = (3.14) (2m)² (6m)V = (3.14) (4m²) (6m)V = (3.14) (24m³)V = 75.36m³

HOPE THIS HELPS. GOODLUCK:)

The answer is C.75.36m^3

26) Using the formula I = PRN, calculate the simple interest (I) on $1500 at 3% p.a. for 8 years. Show working i.e. P = 1500, R = 3% , N= 8​

Answers

Answer:

I = $360

Step-by-step explanation:

Calculate the interest I using

I = PRN

with P = 1500, R = 3% = [tex]\frac{3}{100}[/tex] = 0.03 , N = 8 , then

I = $1500 × 0.03 × 8 = $360

What number should be added to 2/8 to -1/12 get ?​

Answers

Answer:

-1/3

Step-by-step explanation:

this is the best answer

) Find the value of 'x' and 'y' if ( 2x+3y,4) = ( 5 , 2y).​

Answers

Answer:

x = -0.5

y = 2

Step-by-step explanation:

(2(-0.5)+3(2), 4) = (5, 2(2))

(-1 + 6, 4) = (5, 4)

(5, 4) = (5, 4)

What are the coordinates of the point
3
of the way from A to B?
у
4
B
2
1
+2
lo
-21
А

Answers

9514 1404 393

Answer:

  (-3 1/2, 1 1/4)

Step-by-step explanation:

For some point P, we want ...

  (P -A)/(B -A) = 3/4

  4P -4A = 3B -3A

  4P = 3B +A

  P = (3B +A)/4 = (3(-3, 3) +(-5, -4))/4 = (-9-5, 9-4)/4 = (-14, 5)/4

  P = (-7/2, 5/4) = (-3 1/2, 1 1/4) . . . . the desired point

Multiply.
(b - 7)(2b +9)
(b - 7)(2b +9)=(Simplify your answer.)

Answers

Answer:

[tex]2 {b}^{2} - 5b - 63[/tex]

Step-by-step explanation:

[tex](b - 7) \times (2b + 9)[/tex]

[tex]b \times 2b + 9b - 7 \times 2b - 7 \times 9[/tex]

[tex]2 {b}^{2} + 9b - 14b - 63[/tex]

[tex]2 {b}^{2} - 5b - 63[/tex]

which equation can be used to solve for x in the following diagram?

Answers

Answer:

A

Step-by-step explanation:

We know that it is A because the two smaller angles are being added, and we know the sum is 90 degrees. The only equation that satisfies both of these is A.

Answer:

A

Step-by-step explanation:

because it is a right angled

Solve for x: (1/3)x = 81 ​

Answers

Answer:

243

Step-by-step explanation:

1 /3 x=81

Step 1: Multiply both sides by 3.

3*( 1 /3 x)=(3)*(81)

x=243

The value of x for the expression (1/3)x = 81 is 243.

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations.

The given expression is,

(1/3)x = 81

To find the value of x,

Solve the expression,

(1/3)x = 81

x = 81 x 3

x = 243

The required value of x is 243.

To know more about Algebraic expression on:

https://brainly.com/question/19245500

#SPJ2

Write 4 2/5 as an improper faction

Answers

Answer:

22/5

Step-by-step explanation:

4 [tex]\frac{2}{5}[/tex]

new numerator for improper fraction = (4 x 5) + 2 = 20 + 2 = 22  

=> 22/5

Which of the following functions is odd?


PLZ HELP URGENT

Answers

Answer: Choice D

Explanation:

This is because all of the exponents are odd for this polynomial. It might help to think of that 4x as 4x^1.

Multiple 8x^8(-6x^3+5x^2+5x)

Answers

Answer is -48x^11+40x^10+40x^9

Answer:

First, start by applying the distributive law property to the given equation:  

8x^8(-6x^3+5x^2+5x)

So, it'll go like this --> x (a + b + c) = xa + xb + xc

After you have the equation in this form you will then simplify.  

See the steps below for better understanding.

(the answer is highlighted in red)

Rewrite x2 − 6x + 7 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.

a = 4 and b = 3
a = 3 and b = 2
a = 2 and b = 1
a = 1 and b = 4

Answers

Answer:

a = 3 and b = 2

Step-by-step explanation:

From completion of squares:

[tex] {x}^{2} - 6x + 7 = 0 \\ \{ {x}^{2} - 6x + { (\frac{6}{2} )}^{2} \} + 7 - {( \frac{6}{2}) }^{2} = 0 \\ ( {x}^{2} - 6x + {3}^{2} ) = 2 \\ { \boxed {{(x - 3)}^{2} = 2}}[/tex]

a is 3

b is 2

Answer:

Answer B : a = 3 and b = 2

Step-by-step explanation:

Give man above brainlyiest he deserives it

Marissa earns $1,000 after taxes twice a month. Marissa's monthly bills are $1,200. Marissa deposits 40% of her remaining monthly income into a savings account and annually saves:

Answers

She saves $3,840 annually into savings account

1. Marissa earns $1,000 after taxes twice a month

This means Marissa earns $2,000 ($1000 x 2) after deduction of taxes

2. Marissa's monthly bills are $1,200.

The monthly bills means expenses that Marissa incurred during the month.

3. Marissa deposits 40% of her remaining monthly income into a savings account

The balance of Marissa earnings per month after deduction of his expenses (bills) is $800 ($2,000 - $1,200).

She deposits 40% of $800 into a savings account.

= 40% x $800

= $320

So, she is saving $320 out of the remaining $800 she has per month.

4. Marissa annually save?

She saves $3,840 annually ($320 x 12 months) into savings account.

However, she has a disposable income of $480 per month, equivalent to $5,760 per annum.

See related question here https://brainly.com/question/18917500

12. Mitch, Miranda, and Evan added
their heights together.
They
got a total of 15 feet 3 inches.
Convert that measurement to
inches.

Answers

Answer:

183 inches.

Step-by-step explanation:

There are 12 inches in a foot.

12 * 15 = 180

Plus the 3 spare inches.

180 + 3 = 183

Answer:

Step-by-step explanation:

There are 12 inches in a foot.

The height in inches is 12 * 15 = 180

Total height = 12 * 15 + 3

Total height = 180 + 3

Total height = 183 inches

Can a set of data having two modes have two points of central tendency

Answers

Answer:

The  Measure of Central Tendency are

1. Mean

2. Median and Quartiles

3. Mode

4. Geometric Mean

5. Harmonic Mean

→When all the five Measure of Dispersion are Same, it means the two data sets have Identical Variate.

→Now consider the two data sets,

A=3,4,4,5

B=1,4,4,7

Both the Data set have , same mean, median, and Mode,which is equal to 4.

→When you will consider, First three as Measure of central tendency ,then it becomes incorrect statement ,that Data Set are same.

Step-by-step explanation:

A measure of central tendency is a descriptive statistic

The correct response to the question is as follows;

Yes; A data having two modes can have two points of central tendency

The reason a dataset having two modes can have two points of central tendency is as follows:

A dataset having two modes is said to be bimodal

A dataset having three modes is said to be trimodal

A dataset having more than three modes is said to be multimodal

A measure of central tendency is a type of summary statistics that is a

single value representing the center point, or average of a set of data

thereby providing a description of the data by telling the middle value, the

average or the most common value which is the mode

As can be seen from the given example, by having two modes, a bimodal

data set describes a data that has two points of central tendency, thereby

giving a description of the data type, which for example may a collection

of the height of individuals, male and female, that have two most common

height values for each gender

Therefore, the correct response is yes, a dataset having two modes can

have two points of central tendency because the mode is a measure of

central tendency which is a descriptive statistics

Learn more about the measures of central tendency here:

https://brainly.com/question/17762288

https://brainly.com/question/16964486

(x3)(x-5)
Fududeey
X=2

Answers

Answer:

-18 is the right answer..

Could use help on this math problem ​

Answers

Answer:

78

90

86

96

09

Step-by-step explanation:

80

90

90

OK LA sir I will complete my work as soon as possible LA thank you la madam My name is now signing off

To make a cake, one pound of dry cake mix is needed. However, when pouring cake mix into the mixing bowl, 10% spills onto the floor and is unusable. What is the standard amount of cake mix necessary to make a cake

Answers

Answer:

it will be ten left

Step-by-step explanation:

the cake max is 20

Answer: 1.10 pounds

Step-by-step explanation:

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