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jek_recluse [69]
3 years ago
8

Bob is selling floral arrangements. Each arrangement uses 1 vase and 15 tulips. Each vase costs Bob $4.00. Let C be the total co

st of the arrangement and t be the cost of 1 tulip. Write an equation, in slope-intercept form, that represents the total cost of each arrangement to Bob. Use this equation to find out what the cost of the arrangement would be if each tulip costs Bob $2.00.
Mathematics
1 answer:
Masja [62]3 years ago
3 0
<span>slope-intercept form is y = mx + b 

the question is asking what the cost is to Bob. So, y = cost to Bob 
Each arrangement has only one vase making it a constant. b = vase

At the moment y = mx + b in terms of this problem is... 
the cost to Bob = number of flowers(cost of one flower) + cost of a vase 

When plugging in and solving the equation looks like 
y = 15(2) + 4 
                 where y = 34</span>
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In the rhombus, angle 1=9x, angle 2=y+x, and angle 3=15z. Find the value of each variable. The diagram is not to scale.
notka56 [123]
From the diagram, all three angles are 90° (Diagonals of a Rhombus)

Angle 1 = 9x = 90
⇒ 9x = 90
x = 90/9
x = 10


Angle 2 = y + x = 90
⇒ y + x = 90
since x = 10,
y + 10 = 90
y = 90 - 10
y = 80


Angle 3 = 15 z = 90
⇒ 15z = 90
z = 90/15
z = 6

Answer is Option C
<span>C. x = 10, y = 80, z = 6</span>
3 0
2 years ago
Which postulate or theorem would you use to prove the triangles congruent?; Which pair of triangles Cannot be proved congruent?;
Lunna [17]

Proving triangles are congruent triangles uses theorems (postulates), the Angle Side Angle (ASA), Side Angle Side (SAS), Side Side Side (SSS), and AAS (Angle-Angle-Side).  Two triangles with equal corresponding angles may not be congruent to each other because one triangle might be an enlarged copy of the other.

Triangles that have exactly the same size and shape are called congruent triangles. The congruent triangles can be used using the Angle Side Angle (ASA), Side Angle Side (SAS), Side Side Side (SSS), and AAS (Angle-Angle-Side) theorems.

Angle Side Angle (ASA) theorem states that if any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent.

Side-angle-side (SAS) theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Side Side Side (SSS) theorem states that if all the three sides of one triangle are equivalent to the corresponding three sides of the second triangle, then the two triangles are said to be congruent.

AAS (Angle-Angle-Side) theorem states that if two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.

Learn more about Congruent triangles:

brainly.com/question/1675117

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6 0
1 year ago
The planet Neptune orbits the Sun. Its orbital radius is 30.130.1 astronomical units (\text{AU})(AU).
Ronch [10]

Answer: 189.028 AU.

Step-by-step explanation:

Given: The radius of the orbit = 30.1 AU

Since, the orbit is circular in shape, then the distance traveled by Neptune is given by:-

 \text{Circumference=}2\pi r\\\\\Rightarrow\ \text{Circumference=}2(3.14)\times(30.1)\\\\\Rightarrow\ \text{Circumference=}=189.028\text{ AU}

Hence, the distance traveled by Neptune in a single orbit around the Sun = 189.028 AU.

7 0
3 years ago
Read 2 more answers
NEED HELP ASAP PLS
harina [27]

Answer:

2/1 or 2overrun

Step-by-step explanation:

You can see that the rais/run for C to D is 2/1. So that would be the slope.

5 0
3 years ago
A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 lower than in the first
Artyom0805 [142]

Answer:

Let x = the charge in 1st city before taxes

Let y = the charge in 2nd city before taxes

 

 

Set up equation before taxes.

 

y = x - 1500        eq1

 

 

Set up equation for total tax paid.

 

0.065x + 0.06y = 378.75         eq2

 

 

Substitute eq1 into eq2.

 

0.065x + 0.06(x - 1500) = 378.75

0.065x + 0.06x - 90 = 378.75

0.125x - 90 = 378.75

0.125x = 468.75

       x = 3750

 

Substitute this value of x into eq1.

 

y = 3750 - 1500

y = 2250

 

 

The hotel charge in city one is $3750 and the hotel charge in city two is $2250

3 0
3 years ago
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