Two cars travel the same distance. Car 1 travels at 50 mph and car 2 at 65 mph. If it takes car 1 one more hour to travel than car 2, how far did the cars travel?

Given the table of values that represents a linear function, the value of y when x = 4 is: 5.

Recall:

Find the slope of the linear function, using two pairs of values, (-4, 3) and (0, 4):

Slope (m) = (4 - 3)/(0 - (-4)) = 1/4

y-intercept (b) = 4 (from the table, when x = 0, y = 4).

Write the equation that models the function by substituting m = 1/4 and b = 4 into y = mx + b:

y = 1/4x + 4

Thus, to determine the value of y when x = 4, substitute x = 4 into y = 1/4x + 4:

y = 1/4(4) + 4

y = 1 + 4

y = 5.

Therefore, given the table of values that represents a linear function, the value of y when x = 4 is: 5.

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Answer:

The simplest rationalising factor of 2sqrt(5)-sqrt(3) is 2sqrt.

Step-by-step explanation:

√3+√5 rationalising factor=√3+√5×√3-√5=√3^2=3-5= -2.

I hope it is helpful. Please mark it as Brainliest Answer.

Answer:

3z < -4.8

* be sure to use the less than or equal to sign

Step-by-step explanation:

The inequality for the A number z times 3 is at most -4.8 is 3x < -4.8

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

A number z times 3 is at most -4.8

Now, the mathematical expression is

3z < -4.8

and, z< -1.6

Hence, the inequality is 3x < -4.8

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Answer: a) 0.0125  b) 0.1454 c) Mean = 5.7, standard deviation = 1.73

Step-by-step explanation:

Let x = Number of children say that chocolate chip cookie is their favorite kind of cookie.

x follows binomial distribution.

Binomila distribution formula:

[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex] , where p = probability in each trial, n = sample size, x= number of successes

Sample size : n= 12, p=0.475

a)

[tex]P(x\geg10)= P(x=10)+P(x=11)+P(x=12)\\\\=\ ^{12}C_{10}(0.475)^{10}(1-0.475)^{2}+^{12}C_{11}(0.475)^{11}(1-0.475)^{1}+^{12}C_{12}(0.475)^{12}(1-0.475)^{0}\\\\=\dfrac{12!}{2!10!}(0.475)^{10}(0.525)^{2}+(12)(0.475)^{11}(0.525)^{1}+(1)(0.475)^{12}\\\\\approx0.0125[/tex]

b)

[tex]P(x=4)= ^{12}C_{4}(0.475)^4(0.525)^{8}\\\\=\dfrac{12!}{4!8!}(0.000293798)\\\\=0.1454[/tex]

c) Mean = np

= (12)(0.475) =5.7

Standard deviation = [tex]\sqrt{np(1-p)}[/tex]

[tex]=\sqrt{12\times0.475\times0.525}\\\\=\sqrt{2.9925}\approx1.73[/tex]

Answer:

40

Step-by-step explanation:

4x=180-20

4x=160

X=40

Answer:

I won't answer but I'll give a hint

Step-by-step explanation:

1. Markup = markup percent x cost/store price

2. Selling price = markup price + cost/store price

3. Discount amount = discount percent x cost/store price

4. Selling price = cost/store price – discount amount

Answer:

x < 5

Step-by-step explanation:

[tex]5x - 1 < 24\\5x < 25\\x < 5[/tex]

Answer:

any number under 5

Step-by-step explanation:

5(5) -1 =24

so anything under that would equal fewer than 24

Is this what you're asking?

Answer:83.0°  

Step-by-step explanation:

Given ∆XYZ, with 3 known sides, to find angle X, apply the Law of Cosines, c² = a² + b² - 2ab*cos(C).

For convenience sake, this formula can be rewritten to make the angle we are looking for the subject of the formula.

Thus, we would have this following:

Where,

C = X = ?

a = 8 ft

b = 16 ft

c = 17 ft

Answer:

x= 10

Step-by-step explanation:

27÷6= 4.5

27×4.5= 6

so,

45÷4.5=10

Answer:

diameter = 28 cm

Step-by-step explanation:

circumference = 2πr

88 cm = 2 * 3.14.*r. ( π = 3.14 )

r = ( 88)/(3.14*2)

r = 14 cm

diameter = 2 * radius

diameter = 2 * 14 cm

diameter = 28 cm

Answer:

Step-by-step explanation:

Circumference formula:

Substitute values of circumference and the π to find the diameter:

Answer:

5(1+x)

Step-by-step explanation:

Step-by-step explanation:

1) k(x)= -3x²-3

k (-2)= -3×(-2)²-3

= -12-3

= -15

3)k(a)=a+4

k(0)= 0+4=4

hope it helps.

Answer:

4

Step-by-step explanation:

6*(8*2)^2/(6*8^2)=2^2=4

Answer:

6y2 - 13y - 5............

Answer:

Step-by-step explanation:

Here you go mate

Step 1

11x-4x+26  Equation/Question

Step 2

11x-4x+26  Simplify

11x-4x+26

Step 3

11x-4x+26  Combine like terms

(11x+-4x)+(26)

Step 4

(11x+-4x)+(26)  Add them together

answer

7x+26

Hope this helps

Answer:

A

Step-by-step explanation:

We assume the opposite and then get to a point where we get a false statement. That proves that the the opposite of the opposite (What we originally wanted to prove) is true.

Answer:

b. 63

Step-by-step explanation:

A Parallelogram is known to be a flat shape quadrilateral which has four opposite sides Each two opposite sides are parallel and are equal in length. The opposite angles are equal.

The above answer is correct because opposite angles of a parallelogram are equal:

m∠CDA = m∠ABC

where m∠CDA = 63

∴ m∠ABC = 63 (answer)

Answer:

I have

Step-by-step explanation:

No idea sorry

Answer:

35

Step-by-step explanation:

Given

n (A) = 15

n (B) = 20

Students who do not like any subject = 5

Hence, number of students who would like either both or either of the two subjects = 60-5 = 55

n (A or B) = n (A) + n (B) - n (A and B)

Number of students linking both the subjects

55 - 15-20

= 55-35 = 20

Number of students linking only one subject = 60-20-5 = 35

Answer:

x < -9

Step-by-step explanation:

Add 8 to both sides:

-3x - 8 > 19

-3x > 27

Divide each side by -3:

-3x > 27

Dividing by a negative number on each side switches the inequality:

x < -9

So, the answer is x < -9

Answer:

[tex] \huge \: x < - 9[/tex]

[tex]\huge \: x \in (-∞,-9)[/tex]

Step-by-step explanation:

the direction of inequality doesn't change when you

the direction of inequality does change when you

[tex]step - 1 : define \\ -3x-8>19[/tex]

[tex]step - 2 : \\ add \: 8 \: to \: both \: sides[/tex]

[tex]-3x-8 + 8>19 + 8[/tex]

[tex] - 3x >27 [/tex]

[tex]step - 3 \: \\ divide \: both \: sides \: by \: - 3 \: and \: swap \: the \: inequality[/tex]

[tex] \huge \therefore \: x < - 9[/tex]

Answer:

200

Step-by-step explanation:

The time spent repairing the car is five hours while the total cost is about 200 bucks

Answer:

F(x) = 16

Step-by-step explanation:

F = 2. We find the value of -5x by inputting the value of the function into the x value.

F(x) = -5(2) + 6

F(x) = 10 + 6

F(x) = 16

Answer:

x-28

y46

z65

Step-by-step explanation:

Answer:

x = 4.5

Step-by-step explanation:

You can find this ous by dividing 9 by 2, giving you 4.5! Hope this helped!

Answer:

72.7

Step-by-step explanation:

complementary angles: either of two angles whose sum is 90°.

90-17.3 = 72.7

Answer:

Complementary angle of 17.3° is (90°-17.3°)=72.7°