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Alla [95]
3 years ago
6

Fatima is shaping this model to show 0.08 x 3. shade the correct amount of boxes that will show the product. fatima should shade

______ groups of ______ small squares or_____ small square.

Mathematics
1 answer:
julia-pushkina [17]3 years ago
8 0

Answer:

Fatima should shade 3 groups of 8 small squares or 24  small squares.

Step-by-step explanation:

Consider the provided information.

Fatima is shading this model to show 0.08 × 3. Shade the correct  amount of boxes that will show the product.

Here 3 represents the number of groups and 8 represents the small square.

Multiplication is repeated addition.

We can rewrite the above multiplication as: 0.08 + 0.08 + 0.08

Therefore 0.08 × 3 = 0.24

Here 0.24 represents 24 small squares.

The required model is shown below:

Hence, Fatima should shade 3 groups of 8 small squares or 24  small squares.

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A housepainter buys 40 gallon-size cans of paint for $920. Some of these are blue paint that cost $30 per gallon and the rest ar
zloy xaker [14]

Answer:

28

Step-by-step explanation:

x=blue

y=white

x+y=40

30x+20y=920

30(x+y=40) ; 30x+30y=1200___[1]

30x+20y=920 ; 30x+20y=920___[2]

[1]-[2] : 30x+30y-30x-20y=1200-920

       10y=280

       y=28

painter buys 28 white gallons

3 0
2 years ago
A car travel the distance of D equals 450 km for T equals 4.4 hours at a constant rate. What is the speed of the car in kilomete
yuradex [85]

Answer:

102.3 kilometers per hour

Step-by-step explanation:

A car travel the distance of D equals 450 km for T equals 4.4 hours at a constant rate. What is the speed of the car in kilometers per hour

The formula to calculate Speed = Distance (Kilometers)/ Time(hours)

The speed of the car = 450km/4.4 hours

102.27272727 kilometers per hour

Approximately = 102.3 kilometers per hour

3 0
3 years ago
Given f ( x ) = 3 x 2 + k x − 13 f(x)=3x 2 +kx−13, and the remainder when f ( x ) f(x) is divided by x + 4 x+4 is 15 15, then wh
Varvara68 [4.7K]

Answer:

k=5

Step-by-step explanation:

We are provided with function, f ( x ) = 3 x^{2} + kx − 13

which is divided by x+4 gives 15.

Here,

since f(x) is divided by x+4 so we can put :

x+4 = 0

x= -4

Putting this in f(x) -----> f(-4)

f(x) = f(-4) = 3 (-4^{2}) + k(-4) − 13

f(-4) = 3(16) - 4k - 13

f (-4) = 48 - 4k - 13                ------------------------------------------Equation 1

Since, when f(x) is divided by x+4 , the remainder is 15 so we can say,

f(-4) = 15

putting in equation 1

f (-4) = 15 = 48 - 4k - 13

48 -4k - 13 = 15

35 - 4k = 15                      

35 - 15 = 4k                         (Moving - 4k on right hand side and 15 on the left)

or 20 = 4k

or 4k = 20

k = \frac{20}{4}

<h2>k = 5</h2>

4 0
3 years ago
1. Use the formula S(d)=√9.8d to calculate the estimated speed, in meters per second, of a tsunami if the disturbance occurred a
postnew [5]

Answer: 1. 210 meters per second .

2.  756  kilometers per hour.

Step-by-step explanation:

Given : The formula S(d)=\sqrt{9.8d} to calculate the estimated speed, in meters per second of a tsunami.

1. If the disturbance occurred at an ocean depth of 4,500 meters.

Then put d= 4500 in the above formula , we get

S(d)=\sqrt{9.8\times4500}

S(d)=\sqrt{44100}=\sqrt{21\times21\times10\times10}\\\\=\sqrt{210^2}=210

Hence, if the disturbance occurred at an ocean depth of 4,500 meters , the estimated speed would be 210 meters per second .

Also, A meter per second is equal to 3.6 kilometers per hour.

i.e. 1 meter per second = 3.6 kilometers per hour

Then by unitary method ,

210 meters per second  =3.6\times210 kilometers per hour

=756  kilometers per hour.

3 0
3 years ago
Which of the following points could be the initial point of vector v if it has a magnitude of 10 an the terminal point (-1,5)?
Eddi Din [679]
Let the initial point of the vector be (x,y). Then the magnitude of the vector v can be written as:

|v|= \sqrt{ (-1-x)^{2} + (5-y)^{2} }

The magnitude of vecor v is given to be 10. So we can write:

10= \sqrt{ (-1-x)^{2} + (5-y)^{2} } \\ \\ 100=(-1-x)^{2} + (5-y)^{2}

Now from the given options, we have to check which one satisfies the above equation. That point will be the initial point of the vector. 

The point in option d, satisfies the equation.

100=(-1+7)^{2} +(5+3)^{2}  \\  \\ &#10;100=36+64 \\  \\ &#10;100=100

Thus, the answer to this question is option D
7 0
3 years ago
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