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Ugo [173]
3 years ago
14

What expressions are equivalent to 4(4a+5)

Mathematics
1 answer:
Firlakuza [10]3 years ago
5 0

Answer:

<h3>16a + 20</h3>

Step-by-step explanation:

4(4a + 5)         <em>use distributive property</em>

= (4)(4a) + (4)(5) = 16a + 20

You might be interested in
Let v1=(3,5) and v2=(-4,7) Compute the unit vectors in the direction of |v1| and |v2|?
AleksandrR [38]
By definition, the unit vector of v = (a,b) is
\hat{v} =  \frac{\vec{v}}{|v|}

Therefore,
The unit vector of v₁ = (3,5) in the direction of |v₁| s
 (3,5)/√[3² + 5²]
= (3,5)/√34

The unit vector of v₂ in the direction of |v₂| is
(-4,7)/√[(-4)² + 7²]
= (-4,7)/√65

Answer:
The unit vector of v₁ in the direction of |v₁} is ( \frac{3}{\sqrt{34}} ,  \frac{5}{\sqrt{34}} )
The unit vector of v₂ in the directin of |v₂| is
( \frac{-4}{\sqrt{65}} , \frac{7}{\sqrt{65}} )

6 0
3 years ago
An eraser is in the shape of a triangular prism. Its dimensions are shown in the diagram. What is surface area of the
Colt1911 [192]

Answer:

6000 square millimeters

Step-by-step explanation:

Side length of the slanting side can be calculated using the Pythagorean theorem,

L = sqrt(30^2+40^2) = 50

sufrace area of a triangular prism

= surface area of the end sections + the surface area of the three side faces

= 2*(30*40/2) + 40*(30+40+50)

= 1200 + 4800

= 6000 mm^2

4 0
3 years ago
Read 2 more answers
Of 450 college students, 110 are enrolled in math, 205 are enrolled in English, and 50 are enrolled in both. If a student is sel
likoan [24]

Answer:

Step-by-step explanation:

Given that Of 450 college students, 110 are enrolled in math, 205 are enrolled in English, and 50 are enrolled in both. If a student is selected at random

the probability

(a) The student is enrolled in mathematics=\frac{110}{450} =0.244\\

(b) The student is enrolled in English.=\frac{205}{450} =0.456\\

(c) The student is enrolled in both.=\frac{50}{450} =0.111\\

(d) The student is enrolled in mathematics or English.=\frac{110+205-50}{450} =0.589\\

(e) The student is enrolled in English but not in mathematics.

=\frac{205-50}{450} =0.344\\

(f) The student is not enrolled in English or is enrolled in mathematics.

=\frac{450-205+110}{450} =0.7889\\

8 0
3 years ago
There are 5 students in class. each will be assigned a grade of a, b or
antiseptic1488 [7]
There could be five in each class.
8 0
3 years ago
Answer it and you get points
fgiga [73]

Answer:

79 (first blank)

131 (second blank)

157 (last blank)

Step-by-step explanation:

92-13 to get the first blank, and you get 79.

118+13 to get the second blank, and you get 131.

144+13 to get the last blank and you get 157.

----------------------------------------------------------------------------------------------------------

Check your work:

79+13=92

92+13=105

105+13=118

118+13=131

131+13=144

144+13=157

----------------------------------------------------------------------------------------------------------

I hope this helps!

-No one

6 0
2 years ago
Read 2 more answers
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