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serg [7]
3 years ago
12

For her cell phone plan, Jane pays $30 per month plus $0.05 per text. She wants to keep her bill under $60 per month. What is th

e maximum number of texts that can Heather send each month while staying within her budget?
Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
5 0
600 texts. To check work 600*0.05=30, she is already paying 30, 30+30=60

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Bo and Erica are yoga instructors. Between the two of them, they teach 48 yoga classes each week. If Erica teaches 12 fewer than
oee [108]
Answer:
Bo teaches 20 classes per week.
Erica teaches 28 classes per week.
Step-by-step explanation:
Let x= yoga classes taught by Bo
and y=yoga classes taught by Erica
We get the following system of equations
x+y=48 (equation 1)
y=2x-12 (equation 2)
Solve the system of equation:
Using equation 1:
x=48-y
Substitute x in equation 2:
y=2(48-y)-12
=96 - 2y - 12
2y+y=84
3y=84
y=84/3 =28
Substitute in equation 1:
x+28=48
x=48-28=20
So Bo teaches 20 classes per week and Erica teaches 28 classes per week.
Hope this helps :)
8 0
2 years ago
Find the surface area of the triangular prism shown below.
sertanlavr [38]

Answer:

144 u²

Step-by-step explanation:

first we need to find lateral area

La=Ph

LA=(12)(11)

LA= 132 u²

SA= Ph + 2B

SA= 132 + 2(6)

SA= 144 u²

4 0
3 years ago
Find the area of the regular hexagon to the nearest tenth
kodGreya [7K]
The answer is 281.01




good luck
4 0
4 years ago
A rectangle has an area of 112cm. The length and width of the rectangle are changed by a scale factor of 1.5. What is the area o
soldi70 [24.7K]

Answer:

252 cm²

Step-by-step explanation:

Area of a rectangle is width times length:

A = WL

If the width and length increase by a factor of 1.5:

A = (1.5 W) (1.5 L)

A = 2.25 WL

So the area increases by a factor of 2.25.

2.25 × 112 cm² = 252 cm²

4 0
3 years ago
{x{ x + 4<0 or 6x>-12)
lora16 [44]

Answer:

x\in (-\infty , -4) \cup (-2,+\infty)

Step-by-step explanation:

Solve the system of inequalities:

x + 4 < 0

OR:

6x > -12

The first inequality yields the solution:

x < -4

The second inequality gives the solution:

x > -2

The total solution is the disjunction of the individual solutions, i.e., the union of both.

It can be expressed as

\mathbf{x\in (-\infty , -4) \cup (-2,+\infty)}

4 0
3 years ago
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