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emmasim [6.3K]
3 years ago
8

paul bought a soft and a sandwich for 9.90. what equation may be used to find the price of each item if the sandwich cost 3.5 ti

mes as much as the soft drink?
Mathematics
1 answer:
irina [24]3 years ago
3 0

So, let's say the soft drink equals y and the sandwich equals x.

x + y = 9.9

The sandwich costs 3.5 times as much as the soft drink

x = 3.5y

Therefore, we can replace x with 3.5y since they're the same thing

3.5y + y = 9.9  <-- That's the equation :)


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Pls helppp me with this
Annette [7]

Answer:

15

Step-by-step explanation:

Applying,

The angle bisector theorem of triangle

From the diagram,

Since ΔAMT is an issoceless triangle,

Then,

Line OA divides Line MT into two equal parts.

Therefore,

Line MO = Line OT.............. Equation 1

From the diagram,

Line MO = 4x-1, Line OT = 3x+3

Substitute into equation 1

4x-1 = 3x+3

Collect like terms

4x-3x = 3+1

x = 4.

Therefore,

OT = 3(4)+3

OT = 12+3

OT = 15

7 0
3 years ago
Virginia drew the figure at the right on the board. The steps below are used to solve for the unknown angle, x, in the figure bu
vichka [17]

Answer:

Option B 3412

Step-by-step explanation:

we know that

step 1

75°+x=90° -----> by complementary angles

step 2

Solve for x

Subtract 75 both sides

75°-75°+x=90°-75°

step 3

x=15°

step 4

Verify

Substitute the value of x in the equation of the step 1

75°+15°=90°

90°=90° ----> is correct

therefore

The correct order is

3-4-1-2

7 0
3 years ago
What is the range of possible sizes for side x? _ &lt; x &lt; _
qwelly [4]

Answer:

2.8 < x < 5.8

Step-by-step explanation:

We must apply the Triangle Inequality Theorem which states that for any triangle with sides a, b, and c:

a + b > c

b + c > a

c + a > b

Here, let's arbitrarily denote a as 4.1, b as 1.3, and c as x. So, let's plug these values into the 3 inequalities listed above:

a + b > c  ⇒  4.1 + 1.3 > x  ⇒  5.8 > x

b + c > a  ⇒  1.3 + x > 4.1  ⇒  x > 2.8

c + a > b  ⇒  x + 4.1 > 1.3  ⇒  x > -2.8

Look at the last two: clearly if x is greater than 2.8 (from the second one), then it will definitely be greater than -2.8 (from the third), so we can just disregard the last inequality.

Thus, the range of possible sizes for x are:

2.8 < x < 5.8

<em>~ an aesthetics lover</em>

8 0
3 years ago
Read 2 more answers
Determine the point of intersection of right bisectors in a triangle ∆ with vertices A (-3, 5), B (1, 1) and (−7, −3). Find the
iris [78.8K]

Answer:

Point of intersection (-11/3 , 1/3)

All distances from the vertices are \frac{10\sqrt{2} }{3}

Step-by-step explanation:

The vertices of the triangle is A(-3,5) , B (1,1) and C (-7,-3)

We need to find the perpendicular bisector of the triangle first

let's take one side connecting A and B

mid point of A and B = (-1,3)

Slope of the line joining A and B = -1

slope of perpendicular to line joining A and B = 1

equation of line passing through (-1,3) with slope 1

y - 3 = 1(x-(-1))

y -3 = x+1

x-y = -4 ............(1)

similarly

mid point joining B and C = (-3,-1)

slope perpendicular to line joining B and C  =  -2

Equation of perpendicular bisector of line joining B and C =

y +1 = -2(x +3 )

y+1 = -2x -6

2x+y = -7 ..........(2)

On solving 1 and 2

x= -11/3 , y= 1/3

Distances

From A = \frac{10\sqrt{2} }{3}

From B = \frac{10\sqrt{2} }{3}

From C = \frac{10\sqrt{2} }{3}

7 0
2 years ago
(write the from for each number and give the value of the underline digit) <br> 2.(3)00
Mkey [24]
The answer is three hundred

7 0
3 years ago
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