Dashboard
< Exit
Topics 1-8 Cumulative/Benchmark Assessment
00:00
Simplify the expression below:
3(7x) – 2(4 - x)

Answer:

-4x+3x power of 2 +2

Step-by-step explanation:

Answer:

3x² - 4x + 2

Step-by-step explanation:

distribute -2 into (3x - 1) and distribute x into (3x + 2)

=> -6x + 2 + 3x² + 2x

combine like terms

=> 3x² - 4x + 2

Answer:

C. 12 (2m - p + 6)

Step-by-step explanation:

just distribute

12 (2m) = 12m

12 (- p) = -12p

12 (6) = 72

Answer:

Distance between boat and light house = 223.88 meter (Approx.)

Step-by-step explanation:

Given:

Height of light house = 60 meters

Angle of depression to boat = 15°

Find:

Distance between boat and light house

Computation:

Using trigonometry application:

Tanθ = Perpendicular / Base

Tan 15 = Height of light house / Distance between boat and light house

0.268 = 60 / Distance between boat and light house

Distance between boat and light house = 60 / 0.268

Distance between boat and light house = 223.88 meter (Approx.)

Answer:

-27

5

10

-13

Step-by-step explanation:

-9*3=-27   -*+=-

-25/-5=5   -/-=+

7-(-3)=7+3=10  -(-)=+

-2+-11=-13   -+-=-

Answer:1  0.05806644 2 64.3818067 m2 3 10.8696557 m2 4  80.2682266 m2 0.13935456 m2 and 15.7935168 m2

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

The answer is attached

Answer:

9) 5

10) 5x+2

11) -1

12) -x+6

Answer:

21.

Step-by-step explanation:

M a t h .

Answer:

1,345,456,232,999, 777,344

Step-by-step explanation:

1,345,456,23   4,   2   3    4,   3    4     5,   2    3      4,

                        -1    2   3     4,    5   6     7,   8    9     0        

1,345,456,23    2,  9   9     9,    7     7    7,   3   4     4      

So we write the ones under the ones, tens under the tens  starting from the right hand side.

The first numbers can be easily subtracted as 4 is greater than zero. Then comes 3 which is less than 9 so we borrow 1 digit from the left to right to make it 13 and subtract 9 from it and get a 4. Then we are left with 1 as we have already borrowed 1 digit. As 1 is less than 8 we again borrow 1 digit from the left to make it 11 and subtract 8 and get 3. So the next number is 4 as we have already borrowed 1 and it is less than 7 . Again we will borrow 1 digit from the left to make it 14 and subtract 7 to get a 7.

So the process continues until we get the answer.

Answer:

It has 13 sides.

Step-by-step explanation:

The equation for total interior angle is x = 180(n - 2)

fill it out and solve

1980 = 180(n - 2)

1980 = 180n - 360

2340 = 180n

n = 13

Answer:

48,000,000

Step-by-step explanation:

just multiply them all

Answer: 200 cats in total

Step-by-step explanation:

60 calico cats represents 30% of the total cat population in the shelter.

That means that if we find 30% of the total number of cats, the number we will get is 60.

Assuming the total is x, representing this in equation form makes it:

x * 30% = 60

x = 60 / 30%

x = 200 cats in total

Answer:

1/3

Step-by-step explanation:

(-6,0) (-3,1)

1-0/ -3 - -6 = 1/3

Answer:

[tex]6n + 3 + 2n = 8n + 3[/tex]

[tex]99-9-9 = 81[/tex]

[tex]2p + 3p+ 6-p-3 = 4p + 3[/tex]

[tex]2.25(14.3m + 6 + 2.7m) = 38.25m + 15.5[/tex]

Answer:

Possible answer: 5a/ -6

Step-by-step explanation:

Not 100% sure to be honest.

Answer:

f(x) = 40 × (1.3)ˣ

Step-by-step explanation:

4. The given parameters of the population of mountain goats are;

The initial number of mountain goats, a = 40

The rate at which their population will increase, r = 30% = 0.3 exponentially

The total population after 'x' years is given by f(x)

For exponential growth, we have;

f(x) = a·(1 + r)ˣ

Plugging in the values, we get;

f(x) = 40 × (1 + 0.3)ˣ = 40 × (1.3)ˣ

Answer:

It’s company- 2 and 4

External- 1 and 3

Step-by-step explanation:

its right

Answer:a)m =K n

b)m = 32

c)n=15

Step-by-step explanation:

M varies directly as n can be expressed mathematically as

m ∝ n

Introducing the constant of proportionality, K, we have that

m =K n

Now when m=14 and n=7, K becomes

14=K X 7

K=14/7 = 2

b) find m when n=16

m =K n

m = 2 x 16=32

c) find n when m=30

m =K n

30=2 x n

n=30/2 =15

Expression is formed using numbers, variables, and mathematical operations. The value of m, when the value of n is 16 is 32.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As we know that the value of m is directly varying with n, therefore, we can write the relationship as,

[tex]m \propto n[/tex]

Now, in order to remove the proportionality, we will add a constant,

[tex]m = kn[/tex]

As the value of m and n is given as 14 and 7, substitute the values in order to get the value of the constant k,

[tex]m = kn\\14 = k(7)\\\dfrac{14}{7} = k\\k=2[/tex]

We know the value of the constant k is 2, therefore, the equation can be written as,

[tex]m=2n[/tex]

Substitute the value of n as 16, to get the value of m,

[tex]m=2n\\m=2(16)\\m=32[/tex]

Hence, the value of m, when the value of n is 16 is 32.

Learn more about Expression:

https://brainly.com/question/13947055

Answer:

- 2x - 1

Step-by-step explanation:

[tex]g(x)=x-3 \\ f(x) = -2x + 2 \\ g(f(x)) = ( - 2x + 2) - 3 \\ g(f(x)) = - 2x + 2 - 3 \\ g(f(x)) = - 2x - 1[/tex]

Given:

Triangle ABC and triangle DEF are similar triangles.

To find:

The proportion that can be used to find the length of segment DE.

Solution:

We know that the corresponding sides of similar triangles are proportional.

Triangle ABC and triangle DEF are similar triangles. So, their corresponding sides must be proportional.

[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}[/tex]

[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}[/tex]

[tex]\dfrac{4}{DE}=\dfrac{3}{9}[/tex]

[tex]\dfrac{4}{3}=\dfrac{DE}{9}[/tex]

Therefore, the correct option is A.

Answer:

B. 315 meters

Step-by-step explanation:

The length of the longer side of the lot on drawing = 6.3 cm

Given a scale of 1cm : 50 m

Let the length of the longer side be represented as x.

Therefore, the actual length of the longer side will be calculated as follows:

1:50 = 6.3:x

1/50 = 6.3/x

Cross multiply

x*1 = 50*6.3

x = 315

Actual length of the longer side of the lot = 315 meters

Answer:

Step-by-step explanation:

The Standard Penetration Test (SPT) is a widely used geotechnical test used to estimate soil strength. A SPT hammer drives a split barrel sampler at the bottom of a drive rod and recovers soil samples.

Answer:

22÷7×5.2×5.2×18.5

1572.18

I hope this will help you and plz mark me brainlist

Answer:

84+ z =180

Step-by-step explanation:

42 x 2=84

84+ z =180

Answer:

55 mph for 3.5 hours would be 192.5 miles. 60 mph for 2.5 hours would be 150 miles. The total of mile Ms. Logan went is 342.5.

Answer:

There would be 5 triangles on the other side

Step-by-step explanation:

If the right side has 1 circle and 1 square, that would mean that there is 5g+10g=15g weight on the right side

In total, there is 30g, and we already have 15

We can use the equation 15+3x=30, and by solving, the answer would be 5 triangles.

Hope this helps!

Answer:

hey bbs

Step-by-step explanation:

Answer:

99+3b

Step-by-step explanation:

The original equation would be 3(33+b), but simplifying it would get 99+3b.