of the space in Jamie's drawer is taken up by animal figures, and is taken up by action figures. He wants to store his basketball card collection in the drawer, too. How much room do the figures take up? Will he have any room left for the cards?

Answer:

assuming this is a rectangle:

VW=31

WX=19

YW=36.36

ZX=18.18

VX=36.36

Step-by-step explanation:

VW=VX

VW=31

WX=VX

WX=19

YW^2=19^2+31^2

YW^2=361+961

YW^2=1322

YW=36.36

ZX=1/2VX

ZX=18.18

VX=YW

VX=36.36

The measures of the rectangle are

a) The measure of VW = 31

b) The measure of WX = 19

c) The measure of YW = 36.36

d) The measure of ZX = 18.18

e) The measure of VZ = 18.18

The diagonal of a rectangle is calculated by the formula

From the Pythagoras Theorem , The hypotenuse² = base² + height² , and

Diagonal of a Rectangle = √ ( Length )² + ( Width )²

Given data ,

Let the rectangle be represented as VWXY

Now , the diagonals of the rectangle are VX and WY

Substituting the values in the equation , we get

The measure of VY = 19

The measure of XY = 31

Now , for a rectangle the opposite sides are congruent

So , the measure of VY = measure of WX

And , the measure of XY = measure of VW

On simplifying the equation , we get

The measure of WX = 19

The measure of VW = 31

And , the diagonal of the rectangle = √ ( Length )² + ( Width )²

Substituting the values in the equation , we get

The diagonal of the rectangle YW = √ ( 31 )² + ( 19 )²

The diagonal of the rectangle YW = √ ( 961 + 361 )

The diagonal of the rectangle YW = 36.359 ≈ 36.36

And , the measure of VX = measure of YW = 36.36

Now , the measure of ZX = measure of VZ = measure of VX / 2

So , the measure of ZX and VZ = 36.36 / 2 = 18.18

Hence , the diagonal of the rectangles is 36.36

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Answer:

10%

Step-by-step explanation:

we want to find what % of 34 is 37.40

so, we will use the following equation:

[tex]\frac{part}{whole} = \frac{percent}{100}[/tex]

for this scenario:

part = 37.40

whole = 34

percent = x

now plug in:

[tex]\frac{37.40}{34} = \frac{x}{100}[/tex]                         cross multiply

34x = (37.40)(100)

34x = 3740                      divide both sides by 34

x = 110%

now we know that with tax, we paid 110% of the video game's price

110 - 100 = 10%

so the percent sales tax is 10%

just to check...

34 • 1.10 = $37.40

or

34 • .10 = 3.40

34 + 3.40 = 37.40

Answer:

It’s the bottom answer.

Step-by-step explanation:

hope I helped

The corresponding angles of the triangles are equal. Then the triangles ΔFGH and ΔMLN are similar triangles.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

In triangle ΔLMN, the measure of the third angle is calculated as,

∠N + ∠M + ∠L = 180°

∠N + 51° + 36° = 180°

∠N = 93°

In triangle ΔFGH, the measure of the third angle is calculated as,

∠H + ∠F + ∠G = 180°

∠H + 51° + 36° = 180°

∠H = 93°

In triangles ΔFGH and ΔMLN, the corresponding angles are equal. Then the triangles ΔFGH and ΔMLN are similar triangles.

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Answer:

Step-by-step explanation:

The first number is

−

13

and the second number is

−

6

Explanation:

Let's let the first number be

n

and the second number be called

m

.

Then, from the first sentence we can write:

n

=

m

−

7

and from the second sentence we can write:

2

n

=

6

m

+

10

Substitute

m

−

7

for

n

in the second equation and solve for

m

:

2

(

m

−

7

)

=

6

m

+

10

2

m

−

14

=

6

m

+

10

2

m

−

14

−

2

m

−

10

=

6

m

+

10

−

2

m

−

10

−

14

−

10

=

6

m

−

2

m

−

24

=

4

m

−

24

4

=

4

m

4

m

=

−

6

Now substitute

−

6

for

m

in the first equation and calculate

n

:

n

=

−

6

−

7

n

=

−

13

Answer:

446565688987888888 ti ifyx

Answer:

30

Step-by-step explanation:

? = 180 - 150 = 30

Answer:

30°

Step-by-step explanation:

The line is 180 degrees so all you have to do is subtract 150° from 180°

You should end up with 30°

Whenever you see a straight line (IT HAS TO BE STRAIGHT), it is equal to 180°.

Answer:

25

Step-by-step explanation:

Let n be the first integer.

Then the second integer will be (n + 1).

And the third will be (n + 2).

The sum is 78. Therefore:

[tex]n+(n+1)+(n+2)+78[/tex]

Solve for n. Combine like terms:

[tex]3n+3=78[/tex]

So:

[tex]3n=75[/tex]

Therefore:

[tex]n=25[/tex]

Therefore, the first integer is 25.

So our sequene is 25, 26, and 27.

The integer closest to zero will thus be 25.

Answer:

2(3x-2) is the answer

The factors of the expression 6x + 4 will be 2 and (3x + 2).

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given as,

⇒ 6x + 4

Factorize the expression, then we have

⇒ 6x + 4

⇒ 2(3x + 2)

The factors of the expression 6x + 4 will be 2 and (3x + 2).

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Answer:

your awnser should be 42°

Answer:

50%

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

look at where the line perfectly goes through a point on the table, ie (60,20) or (70,50), and count up each unit until you see it is aligned with another point that perfectly crosses through. then see how many units left or right you need to go to reach that point. on this graph you go up 3 units and to the right 1 unit, 3/1=3. the slope is 3

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

X COULD BE 2 OR 7

Step-by-step explanation:

Answer:

A. x= -3

Step-by-step explanation:

firstly collect all the terms . then move the term so it'd look like 5x+14 = -2x - 7 then calculate it then it would look like this : 5x+2x = -7 -14 after you move the terms you again calculate it and then the finish product would look like this : 7x = -21 so after you get that you divide by both sides and the answer is -3 . (im sorry if that don't make sense) but the answer is A.

Given:

The inequality is

[tex]3|p+4|+5<8[/tex]

To find:

The solution set for the given inequality.

Solution:

We have,

[tex]3|p+4|+5<8[/tex]

[tex]3|p+4|<8-5[/tex]

[tex]3|p+4|<3[/tex]

Divide both sides by 3.

[tex]|p+4|<1[/tex]

It can be written as

[tex]-1<p+4<1[/tex]

Subtracting 4 from each side, we get

[tex]-1-4<p+4-4<1-4[/tex]

[tex]-5<p<-3[/tex]

The solution set of the given inequality is (-5,-3).

Therefore, the correct option is A.

Answer:

3780 bolts will be made by 8pm

Step-by-step explanation:

One Hour : 500 nuts or 840 bolts

Divide by 2

30 minutes : 250 nuts or 420 bolts

750 nuts : 500 + 250 = 750

so the machine took 1 hour and 30minutes

14:00 it started (2pm)

15:30 it switched to bolts

20:00 (8pm)

4 hours and 30minutes to get to 8pm

840 × 4 = 3360 bolts + 420 bolts = 3780 bolts was made

Answer:

y=1.5x+1

Step-by-step explanation:

Answer:

missing angle isosceles angle and side (a)

Pythagoras theorem

a²+a²=16²

a²=256/2

a=√128=11.3=11

Answer:

x = 6

Step-by-step explanation:

Segment representing 2x - 1 is the mid segment of the given triangle.

Therefore, by mid segment theorem:

2(2x - 3) = 18

2x - 3 = 18/2

2x - 3 = 9

2x = 9 + 3

2x = 12

x = 12/2

x = 6

Answer:

x = 6

Step-by-step explanation:

D is the mid-point of AB (given)

E is the mid-point of AC (given)

Therefore, by mid-point theorem,

DE = 1/2 BC

=> 2x - 3 = 1/2 × 18

=> 2x - 3 = 9

=> 2x = 12

=> x = 6

Hope it helps :)

Please mark my answer as the brainliest

Answer:

Amount of active ingredient is 0.04(8+x)= 0.32+0.4x

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

EQUATION:

active ingre. + active ingre. = active ingre

0.48 + 0 = 0.32 + 0.04x

0.16 = 0.04x

x=4ML (amount of water that must be added)

The amount of water that must be added is 4 ml to 8 mL of 6% saline solution to reduce the concentration to 4%.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

8 mL of 6% saline solution to reduce the concentration to 4%.

Let x be the amount that should be added to 8 mL of 6% saline solution to reduce the concentration to 4%.

The amount of active ingredients is

0.04(8 + x) = 0.32 + 0.4x

Active ingredients + active ingredients  = active ingredients

0.48 + 0 = 0.32 + 0.04x

0.16 = 0.04x

x=4 ml; the amount of water that must be added

Thus, the amount of water that must be added is 4 ml to 8 mL of 6% saline solution to reduce the concentration to 4%.

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Answer:

1/2

Step-by-step explanation:

You take the number of blue pencils and divide it by the total # of pencils.

hope this helps! :D

Answer:

each sock is: 2.43

each jersey is: 6.75

Step-by-step explanation:

Total Sock Amount: 7.29

Total Jersey Amount: 13.50

Total Tax Amount: 1.03

Total Cost: 21.82

Answer:

I LOVE ALGEBRA anyways

othe ans is in the picture and the steps how  got the ans

(hope it helps can i plz have brainlist it will make my day :D hehe)

Step-by-step explanation:

Graphs are used to show the relationship between two variables (usually x and y). The values of x when [tex]f(x) = 0[/tex] are 2 and 8

The graph of y = f(x) is given

To get the values of x when [tex]f(x) = 0[/tex], we simply consider where the line of the graph crosses the x-axis.

The graph crosses the x-axis at:

[tex]x = 2[/tex]

[tex]x = 8[/tex]

This means that the values of x when [tex]f(x) = 0[/tex] are 2 and 8

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Step-by-step explanation:

its 60

1/7, 2/14, 3/21

I took the test

The three equivalent ratios to compare the oboes to the clarinets are,

⇒ 2 : 14

⇒ 3 : 21

⇒ 4 : 28

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

In the middle school band, there is 1 oboe for every 7 clarinets.

Here, The ratio of the oboes to the clarinets is,

⇒ 1 : 7

Hence, Three three equivalent ratios to compare the oboes to the clarinets are,

⇒ 1 : 7

⇒ 1 / 7

⇒ 1×2 / 7×2

⇒ 2 / 14

And, 1 : 7

⇒ 1×3 / 7×3

⇒ 3 / 21

And, 1 : 7

⇒ 1×4 / 7×4

⇒ 4 / 28

The three equivalent ratios to compare the oboes to the clarinets are,

⇒ 2 : 14

⇒ 3 : 21

⇒ 4 : 28

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Answer:

9+(c*2)

im pretty sure this is correct, sorry for misreading it at first <3

Answer:

yes it will you are you're fine only multiplying how much is going into the cookie and not what you're putting into the cookie like you're not putting a different flavor into the cookie

Answer:

x = .23

x = 1.43

Step-by-step explanation:

1. The root of a polynomial is when the y-value equals 0. So set the equation euqal to 0:

[tex]3x^{2} -5x+1=0[/tex]

2. Solve with the quadratic formula and you get:

[tex]\frac{5+\sqrt{13} }{6}[/tex] and [tex]\frac{5-\sqrt{13} }{6}[/tex] which is x = .23 and x = 1.43.

Answer:

here is my answer

Step-by-step explanation: