A customer at a store paid $42 for 4 pairs of pants and 3 shirts At the same store, a second customer paid $2 more for 1 pair of pants and 7 shirts. The price of each pair of pants is the same, and the price of each shirt is the same. Which system of equations can be used to find the price in dollars of each pair of pants, x, and each shirt, y?

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Work Shown:

One way to express exponential form is to use

y = a*b^x

where 'a' is the initial value and 'b' is linked to the growth rate.

Since we're told 34 bees are there initially, we know a = 34.

Then after 4 days, we have 48 bees. So we can say,

y = a*b^x

y = 34*b^x

48 = 34*b^4

48/34 = b^4

24/17 = b^4

b^4 = 24/17

b = (24/17)^(1/4)

b = 1.090035

Which is approximate.

The function updates to

y = a*b^x

y = 34*(1.090035)^x

------------------------

As a way to check to see if we have the right function, plug in x = 0 and we find:

y = 34*(1.090035)^x

y = 34*(1.090035)^0

y = 34*(1)

y = 34

So there are 34 bees on day 0, ie the starting day.

Plug in x = 4

y = 34*(1.090035)^x

y = 34*(1.090035)^4

y = 34*1.4117629

y = 47.9999386

Due to rounding error we don't land on 48 exactly, but we can round to this value.

We see that after 4 days, there are 48 bees.

So we confirmed the correct exponential function.

------------------------

At this point we can find out how many bees there are expected to be after 20 days.

Plug in x = 20 to get

y = 34*(1.090035)^x

y = 34*(1.090035)^20

y = 190.672374978452

Round to the nearest whole number to get 191.

There are expected to be roughly 191 bees on day 20.

Answer:

40

Step-by-step explanation:

Set up a window pane method to solve this.

That picture is called the window pane method.

36 would go in the A section because it's part of the test questions not all of them. 100 would stay in its spot and 85% goes in the percent spot. The equation would look like this: 36 times 100 divided by 85 = 40

Answer: D

Step-by-step explanation: did you get it right

Answer:

D

Step-by-step explanation:

Answer:

L = 2W

If L = 50cm

then

w= 25cm

Area = L*W= 50*25

Area= 1250 cm^2

Perimeter

P = 2(L+W)

P= 2 (50+25)

P = 150cm

Answer:

A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Since the triangles are congruent, then corresponding angles are congruent, that is

∠ Q = ∠ P, substitute values

3x + 1 = 2x + 10 ( subtract 2x from both sides )

x + 1 = 10 ( subtract 1 from both sides )

x = 9

Thus

∠ Q = 3x + 1 = 3(9) + 1 = 27 + 1 = 28° → D

Answer:

 ((x - (2x - 3)/(3x - 2))/(3x + 4)

and its fractional equivalent

       2x - 3

   x - ------

       3x - 2

   ----------

     3x + 4

it is easier to see the relation between the various parts, and how it

might be simplified, when you see it in the latter form. Notice that I

didn't have to use parentheses at all; that's because the bar serves

the double purpose of indicating division and of separating the

divisor from the dividend. In fact, this usage derives in part from an

old use of the bar (called a vinculum) to do what we usually do with

parentheses today, by putting a bar above any group of symbols that

are to be kept together:

Step-by-step explanation:

if wrong report me

Answer: n+(n+6)=24,where n is the number of blue marbles. 3. n+6n=24,where n is the number of blue marbles.

Step-by-step explanation:

Answer:

[tex]XY = 18[/tex]

Step-by-step explanation:

Given

[tex]ABC:AXY = 4 : 3[/tex]

[tex]BC = 24[/tex]

Required

Find XY

Represent BC and XY as a ratio;

[tex]BC : XY = 24 : xy[/tex]

Recall that:

[tex]ABC:AXY = 4 : 3[/tex]

Equate both ratios;

[tex]24 : xy = 4 : 3[/tex]

Convert to fractions

[tex]\frac{24}{xy} = \frac{4}{3}[/tex]

Cross Multiply

[tex]xy * 4 = 24 * 3[/tex]

[tex]xy * 4 = 72[/tex]

Divide through by 3

[tex]xy * 4/4 = 72/4[/tex]

[tex]xy = 18[/tex]

Hence:

[tex]XY = 18[/tex]

Answer:

XY = 18

Step-by-step explanation:

Answer:

1 = 37°      2 = 57°

Step-by-step explanation:

To Find Angle 1

To Find Angle 2

Answer:

[tex]\frac{1}{x}[/tex]

or

[tex]\frac{4x^{2} -3}{x}[/tex]

Step-by-step explanation:

can i have brainliest?

Answer:

-1/10

Step-by-step explanation:

its down 1 and right 10 so you know the slope is -1/10

(can I get brainliest please)

Answer:

x = 10

Step-by-step explanation:

Every triangle has 180o. Just add the three angles together.

8x + 5 + 3x + 25 + 4x = 180         Combine the like terms.

15x + 30 = 180                              Subtract 30 from both sides

15x = 180 - 30                              Combine

15x = 150                                      Divide by 15

x = 150/15

x = 10

Answer:

10

Step-by-step explanation:

8x + 5° + 3x + 25° + 4x = 180° (angle sum property of a triangle)

8x + 3x + 4x + 5° + 25° = 180°

15x + 30° = 180°

15x = 180° - 30°

15x = 150°

x = 150/15

x = 10°

hope it helps u!

Answer: 2x+4=10

Step-by-step explanation:

because each notebook would cost $3 so 2 x 3 = 6 +4=10

Answer:

first

2x + 4 = 10

2x+4=10

2x+4=10

Solve

1

Subtract

4

4

4

from both sides of the equation

2

+

4

=

1

0

2x+4=10

2x+4=10

2

+

4

−

4

=

1

0

−

4

2x+4{\color{#c92786}{-4}}=10{\color{#c92786}{-4}}

2x+4−4=10−4

2

Simplify

Subtract the numbers

Subtract the numbers

2

=

6

2x=6

2x=6

3

Divide both sides of the equation by the same term

2

=

6

2x=6

2x=6

2

2

=

6

2

\frac{2x}{{\color{#c92786}{2}}}=\frac{6}{{\color{#c92786}{2}}}

22x​=26​

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

3

x=3

x=3

Solution

=

3

Second one

6 = 10

2

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

5

3

x=\frac{5}{3}

x=35​

Solution = 5/3

i hope these help to figure out the third sorry its all messed up it wouldnt let me do another way

Answer:

Ainsworth (1970) identified three main attachment styles, secure (type B), insecure avoidant (type A) and insecure ambivalent/resistant (type C).

Step-by-step explanation:

For example, Schaffer and Emerson suggested that attachments develop in four stages: asocial stage or pre-attachment (first few weeks), indiscriminate attachment (approximately 6 weeks to 7 months), specific attachment or discriminate attachment (approximately 7-9 months) and multiple attachment (approximately 10

Answer:

9

Step-by-step explanation:

this can be written as an equation.

12/x=4/3

and it is just easy now, you see what you multiply 4 by to get 12 and it is 3, so that means you have to multiply 3 by 3

3 times 3 is 9, so the answer is 9

Answer:

Hello There!!

Step-by-step explanation:

First look at the ratios the red marbles ratio is 4 and the blue marbles ratio is 3.

You already know that there are 12 ratios in the bag so 12÷4=3(1 ratio equals 3 marbles)

Therefore,3×3=9.So the answer is 9 blue marbles.

hope this helps,have a great day!!

~Pinky~

Answer:

10x>5x+100

Step-by-step explanation:

it says expression not equations so its < , >,

The profit would be on one side and the expenses on the other

No negatives

so it would be 5 times X (the amount of shirts) plus the base fee of $100

and they plan on selling it for 10$ each so (10x) is the profit

X = number of shirts

Answer:

D

Step-by-step explanation:

hard to explain, but trust me.

Answer:

I think its c but im not sure srry if im wrong im not good at math

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{KL}{KN}[/tex] = [tex]\frac{JL}{MN}[/tex] , substitute values

[tex]\frac{32}{12}[/tex] = [tex]\frac{3x-2}{x+1}[/tex] ( cross- multiply )

12(3x - 2) = 32(x + 1) ← distribute both sides

36x - 24 = 32x + 32 ( subtract 32x from both sides )

4x - 24 = 32 ( add 24 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

For the given triangles ΔJKL ≈ ΔMKN, the value of x is, 4

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "≈"

Given that,

One right angle triangle, ΔJKL

one segment MN which is intersecting sides KJ & KL

ΔJKL has one similar triangle inside, which is ΔMKN

Triangle ΔJKL and ΔMKN are similar,

So, we can say ΔJKL ≈ ΔMKN

And it is known that

for similar triangles, ratio of lengths of sides are equal for similar triangles

so, KN/MN = KL/JL

⇒ (X + 1)/12 = (3X -2)/32

⇒ 32X + 32 = 36X - 24

⇒ 32 + 24 = 36X - 32X

⇒ 56 = 14X

⇒ X = 4

To know more about properties of triangles check:

https://brainly.com/question/8476788

#SPJ1

Answer:

$1500

Step-by-step explanation:

You multiply the $50 an hour by the 20 hours and you end up with $1000, then you add the flat rate of $500 and you get $1500.

Answer:

Hope it can help you.......

If you understand my answer, You can mark me as a brainlist...........

Follow me.........

Answer:

B. 35 years 20 Sam inhorito 150​

Step-by-step explanation:

Answer:

y = 3/4 x - 9/2

Step-by-step explanation:

find the slope by (y2-y1)/(x2-x1) and then substitute a point in

Answer:

y=3/5x+3

Step-by-step explanation:

Answer:

the square root of 145

Step-by-step explanation:

D= square root[(y2-y1)^2 + (x2-x1)^2]

D=square root[(5+4)^2 + (5+3)^2]

D=square root[(9)^2 + (8)^2]

D=square root[81 + 64]

D=square root[145]

Answer:

5

Step-by-step explanation:

14y, 7, x, z, 2x are the terms in this equation. A term is separated by signs (like + or-)

Answer:

8/25

Step-by-step explanation:

Brainliest pls

Answer:

8/25

Step-by-step explanation:

Answer:

2 feet

Step-by-step explanation:

If we were to add the same amount to each dimension then the ratio would be the same, meaning that the length will always be one more than the width. Therefore, the two consecutive numbers that when multiplied equal 56 are 6 and 7.

7 * 6 = 56 square feet

This means that we would be adding 2 feet to each side.

Answer: The restaurant can make 199 pancakes in two hours.

Step-by-step explanation:

Given: Total number of cups of pancake mix used in 1 hour = 124

Mix required for each pancake = [tex]1\dfrac14=\dfrac{5}{4}[/tex]

Number of cups of pancake mix used in 2 hours = 2 x 124 = 248

Number of pancakes made = (Number of cups of pancake mix used in 2 hours ) ÷ (Mix required for each pancake )

[tex]=248\div\dfrac54\\\\=248\times\dfrac45\\\\= 198.4\approx199[/tex]

Hence, the restaurant can make 199 pancakes in two hours.