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Nitella [24]
3 years ago
8

2. At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
3 0

Answer:

the price of the novel : $10.25

The price of the math book : $43.75

Step-by-step explanation:

Let M represent math book and N novel

the price of the math textbook, is $8 more than 3 times the price of the novel.

M + N = $54 and M = 3N + 8

we can write 3N + 8 instead of M

N + 3N + 8 = $54 add the like terms

4N = $46

N = $10.25 this is the price of the novel and the price of the math book is $54 - $10.25 = $43.75

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1. Find the area of the polygon
zhannawk [14.2K]

Answer:

1. A = 40 units²

2. A = 72 units²

3. B) 45

Step-by-step explanation:

1.  This shape comprises 4 congruent triangles with base of 5 units and height of 5 units.

Area of a triangle = 1/2 x base x height

Therefore, area of polygon = 4(1/2 x 5 x 4)

                                             = 40 units²

2.  This shape comprises two pairs of congruent triangles.

Area of a triangle = 1/2 x base x height

Therefore, area of polygon = 2(1/2 x 2 x 6) + 2(1/2 x 10 x 6)

                                             = 72 units²

3.  Count the number of shaded squares:

9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 units²

7 0
2 years ago
WILL PICK BRAINLIEST!!!
andreyandreev [35.5K]

we are given

f(x)=10(2)^x

now, we can compare it with

f(x)=a(b)^x

we can find b

we get

b=2

now, we are given

How would the graph change if the b value in the equation is decreased but remains greater than 1

Let's take

b=1.8

f(x)=10(1.8)^x

b=1.6

f(x)=10(1.6)^x

b=1.4

f(x)=10(1.4)^x

b=1.2

f(x)=10(1.2)^x

now, we can draw graph

now, we will verify each options

option-A:

we know that all y-value will begin at y=0

because horizontal asymptote is y=0

so, this is FALSE

option-B:

we can see that

curve is moving upward when b decreases for negative value of x

but it is increasing slowly for negative values of x

so, this is FALSE

option-C:

we can see that

curve is moving upward when b decreases for negative value of x

but it is increasing slowly for negative values of x

so, this is TRUE

option-D:

we know that curves are increasing

so, the value of y will keep increasing as x increases

so, this is TRUE

option-E:

we can see that

curve is moving upward when b decreases for negative value of x

but it is increasing slowly for negative values of x

so, this is FALSE

4 0
3 years ago
Read 2 more answers
What’s the answer to this question
artcher [175]
The answer is for question 12, x = -9.3333333
6 0
3 years ago
Enter an equation of the form y= mx for the line that passes through the
hammer [34]

Answer:

y = 13x

Step-by-step explanation:

gradient = 13

x = 0

y = 0

\frac{Δy}{Δx}

so  \frac{y - 0}{x - 0} = 13

cross multiply and you get

y = 13x

5 0
3 years ago
HELP PLEASE I NEED HELP
Vesna [10]

C. \: 8 \sqrt{3}✅

Step-by-step explanation:

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