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IceJOKER [234]
3 years ago
8

Which ordered pair is a solution to the equation 4x + 7y = –5?

Mathematics
2 answers:
liq [111]3 years ago
7 0
First, I would isolate the y to make it easier
7y=-4x-5
y=-4/7x-5/7

Since there are basically and infinite amount of solutions to this equation, I would plug in both a 4 and -4 for x in the equation and solve for y

y=(-4/7)(4)-5/7
y=-16/7-5/7
y=-21/7, or -3

So since (4,-3) is a choice, the answer is C

Hope this helps
Vsevolod [243]3 years ago
4 0
The answer is C because 4(4)+7(-3)=-5.
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Suppose a van gets 22 mi/gal. The distance traveled D(g) is a function of the gallons of gas used
babymother [125]

Answer:

a) Table and graph showed

b) The distance will be 231 miles

c) Yes

Step-by-step explanation:

We know the van gets 22 mi/gal, so the distance D in miles traveled by the van can be expressed as  

D(g)=22g, being g the number of gallons of gas used

a) The graph of the function D and its corresponding table of values is shown below.  

b) If the van used g=10.5 gallons of gas, the distance would be:

D(10.5)=22 x 10.5 = 231 miles

c) The values of g are real in nature because they represent the amount of gas consumed by the van and it can be any real positive number. Being D a linear function of g, it also happens to take positive real values. Then it makes sense to connect the points with lines.

5 0
3 years ago
(plz helppp !) A triangular prism has base edges 4cm, 5cm, and 7cm long. it’s lateral area is 353cm2 what is the height of the p
Oksanka [162]

Answer:

22.0625

Step-by-step explanation:

Lateral surface area formula: (a+b+c)h=L

(4+5+7)h=L

(16)h=353

16h=353

h=22.0625

Hope this helps!

8 0
2 years ago
What is the area of the frame around the picture?
larisa [96]
12 x 6s - 8 x 4s = 72s - 32s = 40s
3 0
3 years ago
Read 2 more answers
Could someone please help me solve this?
ryzh [129]

Answer:

40

Step-by-step explanation:

(2/5)*n - 6 = 10                         Add 6 to both sides

(2/5)*n - 6 + 6 = 10 + 6             Combine

(2/5)*n = 16                               Multiply both sides by 5/2

(5/2)(2/5)n = 16*(5/2)

n = 80 / 2

n = 40  

6 0
2 years ago
Find the length of each arc. Round to the nearest tenth.
avanturin [10]

Answer:

arc ≈ 5.5 units

Step-by-step explanation:

The arc of the circle is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × \frac{\frac{\pi }{2} }{2\pi } ( r is the radius )

    = 2π × 3.5 × \frac{1}{4}

    = \frac{7\pi }{4}

    ≈ 5.5 ( to the nearest tenth )

7 0
2 years ago
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