1. Find the value of x

A. 7
B. 4
C. 5
D. 6

Answer:

the time taken by Mrs Brown to catch up is 18.75 hours

Step-by-step explanation:

Given;

average speed of Mr Brown = 75 mph

average speed of Mrs Brown, = 85 mph

time first traveled by Mr Brown = 2.5 hours

The distance traveled by Mr Brown before Mrs Brown start her own Journey;

D = speed  x time

D = 75 mph x 2.5 h

D = 187.5 miles

Let the time taken by Mrs Brown to catch up = t

(85 - 75)t = 187.5

10t = 187.5

t = 18.75 hours

Check:

after 18.75 hours:  Mrs Brown will travel ⇒ 18.75 x 85 = 1593.75 miles

after (2.5 h + 18.75h) : Mr Brown will travel ⇒ 21.25 x 75 = 1593.75 miles

Answer:

$900.9

Step-by-step explanation:

Find the final price of a $849.99

laptop with 6% sales tax.

Given data

Price= $849.99

Tax = 6%

Let us find the amount of the tax

=6/100*849.99

=0.06*849.99

=$50.9994

Now the final price is

=50.9994+849.99

=$900.9

Answer:

2

Step-by-step explanation:

f(x)= 2x^5-3x^3+2x^2+1

Let x=1

f(1)= 2(1)^5-3(1)^3+2(1)^2+1

    = 2*1 -3*1+2(1) +1

     = 2-3+2+1

     2

[tex] \tt{if \: \: f(x) = 2 {x}^{5} - 3{x}^{3} + 2 {x}^{2} + 1 \: \: then \: \: f(1) = ?}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 {x}^{5} - 3 {x}^{3} + 2 {x}^{2} + 1}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 {(1)}^{5} - 3 {(1)}^{3} + 2 {(1)}^{2} + 1}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 (1) - 3 (1) + 2 (1) + 1}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 - 3 + 2 + 1}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 - 3 +3}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 \: \: \cancel{ \color{red}- 3 +3}}[/tex]

[tex]\quad \quad \quad \quad \tt{f(x) = 2 }[/tex]

________

#LetsStudy

Answer:

the answer is 180cm for the rectangle

the answer is 126cm for the triangle.

the answer is 880ml for the rectangle.

Step-by-step explanation:

first diagram (rectangle)

area=l×b

15×12

180cm

second diagram(triangle)

area =

[tex] \frac{1}{2} \times l \times b \\ \frac{1}{2} \times 14 \times 18 \\ = 7 \times 18 \\ 126cm[/tex]

third diagram( rectangle)

area=

[tex]l \times b \\ \\ 44 \times 20 \\ 880ml[/tex]

Answer:

P’ is (2,-2)

Step-by-step explanation:

For us to get the appropriate translation, we have to add 9 to the x-coordinate value and subtract 3 from the y-coordinate value

so, we have the transformation as follows;

(-7+9, 1-3)

= (2,-2)

Answer:

115

Step-by-step explanation:

Given :

Mean of intelligence score = 100

Standard deviation of intelligence score = 15

Since both are perfectly correlated,

The Zscore ON SAT = +1.0

Using the standard normal interpretation, Xcore on SAT of +1.0 means 1 standard deviation to the right

This means :

Mean + 1 standard deviation

100 + 1*15

= 115

We could use the Zscore formula directly too:

Zscore = (x - mean) / standard deviation

Zscore = +1 ; x = score

Hence, we have

1 = (x - 100) / 15

1 * 15 = x - 100

15 = x- 100

x = 15 + 100

x = 115

Answer:

Each student gets 1.75 ft of ribbon

Step-by-step explanation:

r × 4 = 7

First, divide the given factor by itself in order to get the variable by itself.

4 ÷ 4

Next, divide the product by the given factor bc what you do to the left, you must do to other side.

7 ÷ 4

Last, right down your new equation and find you solution.

New Equation: r = 1.75

Answer:

Step-by-step explanation:

Answer:

154 inches tall.

Step-by-step explanation:

In this scenario, the sun's angle is the same for both objects. Since we have three values and 1 variable (height of the pole) we can use the Rule of Three to solve this. In this, we simply multiply the diagonal values of the ratios and divide by the third value to get the value of the variable like so...

55 in.  <=====>  70 in.

x  <=========>  196 in.

(55 * 196) / 70 = x

10,780 / 70 = x

154 in. = x

Finally, we can see that the flagpole is 154 inches tall.

2 pan......................

.................

Answer:

1/8 of the whole pan

Step-by-step explanation:

Multiply the brothers by 2 to get 8 brothers for 1 whole pan of brownies now what fraction of the pan does each brother get. This method will get the answer 1/8.

Answer:

I believe it is C, 14. sorry if its wrong! ^^"

Step-by-step explanation:

Answer:

D. 16

Step-by-step explanation:

the scale factor says it all

PR = 15 PQ = 8 AC = 30

meaning each side length from the bigger triangle is twice as larger than the other triangle

1234567890233572o7o5y345uo22u.3936584643728284/43794729237932972478864966666666666666666666666666666666663870434573428734907 goood luck!

Answer:

Both m^2 and cm^2 are given below. Take your pick.

Step-by-step explanation:

Area = L * W

L = 1.57 m * 100 cm / 1 meter = 157 cm

W = 45 cm

Area = 157 cm * 45 cm = 7065 cm^2

In meters, the width would be 45 cm * 1 m / 100 cm = 0.45 m

Area = L * W

L = 1.57 m

W = 0.45 M

Area = 1.57 * 0.45

Area = 0.7065 m^2

Answer:

72

Step-by-step explanation:

67+5= 72

Answer:

See explanation

Step-by-step explanation:

Total fruit purée = 2 1/4 L

purée for One movie = 3/8 L

which expression can be used to find the number of movies you can make

Number of movies you can make = Total fruit purée ÷ purée for One movie

= 2 1/4 ÷ 3/8

= 9/4 ÷ 3/8

= 9/4 × 8/3

= (9*8) / (4*3)

= 72 ÷ 12

= 6

Number of movies you can make = 6

Answer:

I believe that the answer is either C or D

Step-by-step explanation:

Jake forgot his snack, which could mean that he was hungry at school. But it could be logical to assume that he forgot his breakfast. I may be wrong in both cases, but these are my best guesses!

Answer:

below

Step-by-step explanation:

that is the procedure above

Answer:

around 200.96

Step-by-step explanation:

circle area = pir^2

pi*8^2

pi*64

=around 200.96

Answer:

50%

Step-by-step explanation:

Example of Aa crossed with Aa (both hetero).

Outcomes are:

AA (homo)

Aa (hetero)

aA (hetero)

aa (homo)

So the ratio of hetero to all outcomes = 2:4 = 50%

Answer:

n = 116.2 ≈ 117  

Option E) 117 is the correct answer.

Step-by-step explanation:

Given the data in the question;

Exceed = 0.1

{ 1 - 0.1 = 0.9 }

normal table value at 0.9 = - 1.285

Normal table;

hence

( y - 400 ) / 40 = -1.285

y - 400  = -51.4

y = 400 - 51.4

y = 348.6

so,

348.6 = ∈(y) = ∈[ ⁿ∑[tex]_{i=1[/tex] X[tex]_i[/tex] ]

348.6 = n.∈( X[tex]_i[/tex]  )

we substitute

348.6 = n × 3

n = 348.6 / 3

n = 116.2 ≈ 117  { roundup since we talking of number of cars i.e sample size }

Option E) 117 is the correct answer.

Answer:

Yes, of course

Step-by-step explanation:

Corollary simply means the similar case or alike. So we can apply same theorem. Although it may be lengthy and bit tricky but its easy to prove.

Answer:

The answer is negative, the one you chose in the picture.

Step-by-step explanation:

Positive slope would be going upwards.

Negative slope would be going downwards.

Slopes that are zero would be horizontal.

Slopes that are undefined would be vertical.

So, the reason why the slope is negative is that the line is going downhill.

Hope this is helpful

Answer:

1. D 12.8 cm

2. B 4.2 m

3. A 9.59

4. A 6.95

5. B 17.5 cm

Answer:

4

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 3, 4 ] , then

f(b) = f(4) = - 1 ← from table

f(a) = f(3) = - 5 ← from table , then

average rate of change = [tex]\frac{-1-(-5)}{4-3}[/tex] = [tex]\frac{-1+5}{1}[/tex] = 4

Answer: 25

Step-by-step explanation: The number that is added to both sides is the number that is needed to create a perfect square trinomial.

The question is, what is that number?

Well, it comes from a formula. The number that is added to both sides always comes from half the coefficient of the middle term squared.

So half of -10 squared or -5 squared which is 25.

So 25 is added to both sides.

Answer:

b and c

Step-by-step explanation:

Answer:

Hands down c and b

Step-by-step explanation:

Answer:

Step-by-step explanation:

3xy +2m +9 -xy +3m -4

add and subtract like terms

=3xy-xy+2m+3m+9-4

=2xy+5m+5

Answer:

2xy+5m+5

Step-by-step explanation:

3xy+2m+9-xy+3m-4=(3xy-xy)+(2m+3m)+(9-4) =2xy+5m+5