In the figure below, PDW and WTC are right triangles. The measure of WPD is 30°, the measure of WC is 6 units, the measure of WT is 3 units, and the measure of WD is 12 units. Determine the measure of PD .

Answer: the correct option is (100% of $4) + (10% of $4)

Step-by-step explanation:

Check:

100% of $4

= 100/ 100 x 4

= $4, which is stated as the everyday train fare

10% increase = 10/100 × 4

= 0.1 × 4

= $0.4

New train fare = $4 + $0.4

= $4.4

I hope this helps, please mark as brainliest.

Answer:

48

because area is length time with but because the base is a triangle you have to find the area of the triangle then times it with the width that you have

Hello.

-7h + 2(-4h + 5) > -4h + 1 + 10 ; solve for h

Our first step is to get rid of all the parenthesis. We can do this by simplifying everything out.

-7h - 8h + 10 > -4h + 11

Add like terms.

-15h + 10 > -4h + 11

Now, we must isolate our variables. We do this by moving all variables to one side and moving our other numbers to the other.

Subtract 10 from both sides. Then, add 4h to both sides.

-15h + 4h > 11 - 10

Simplify.

-11h > 1

Divide both sides by -11.

However, keep in mind that when dividing with a negative, you must change the sign. Therefore, > turns into <

-11h ÷ -11 < 1 ÷ -11

h < 1/-11

Therefore, h < -1/11

We are given with an inequality and we need to solve for h . So let's start

[tex]{:\implies \quad \sf -7h+2(-4h+5)> -4h+1+10}[/tex]

[tex]{:\implies \quad \sf -7h-8h+10> -4h+11}[/tex]

[tex]{:\implies \quad \sf -15h+10> -4h+11}[/tex]

Add 4h to both sides

[tex]{:\implies \quad \sf -15h+10+4h> \cancel{-4h}+11+\cancel{4h}}[/tex]

[tex]{:\implies \quad \sf -11h+10> 11}[/tex]

Subtracting 10 from both sides ;

[tex]{:\implies \quad \sf -11h+10-11> \cancel{11}-\cancel{11}}[/tex]

[tex]{:\implies \quad \sf -11h-1> 0}[/tex]

Adding 1 to both sides

[tex]{:\implies \quad \sf -11h-\cancel{1}+\cancel{1}> 1}[/tex]

[tex]{:\implies \quad \sf -11h>1}[/tex]

Now dividing both sides by -11 also , when we divide or multiply an inequality by a -ve , we changes the sign too. So ;

[tex]{:\implies \quad \sf \dfrac{-11h}{-11}< -\dfrac{1}{11}}[/tex]

[tex]{:\implies \quad \sf h< -\dfrac{1}{11}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{h\in \left(-\infty ,-\dfrac{1}{11}\right)}}}[/tex]

Answer:

2

Step-by-step explanation:

The GCF of 10 and 46 is 2. I hope this helps.

Answer:

The most number of groups she can put it into is 2

Step-by-step explanation:

What Kaya is trying to find the it greatest common factor, or the largest number that can be divided from two numbers.

46 -> 1, 2, 23, 46

10 -> 1, 2, 5, 10

We see that the only two numbers other than 1 match is 2.  This means that the GCF or the greatest common factor is 2.

Answer:  The most number of groups she can put it into is 2

Answer:

21x+53

Step-by-step explanation:

The simplified expression is 21x - 13.

To solve the expression 5(3x + 4) - 3(-2x + 11), follow these steps:

Distribute the 5 into the first set of parentheses:

5 × 3x = 15x

5 × 4 = 20

So, 5(3x + 4) becomes 15x + 20.

Distribute the -3 into the second set of parentheses:

-3 × -2x = 6x

-3 × 11 = -33

So, -3(-2x + 11) becomes 6x - 33.

Combine like terms:

(15x + 6x) + (20 - 33) = 21x - 13

The simplified form of the expression is 21x - 13.

          6.25     Multiply.

x             1.6

▬▬▬▬▬▬▬▬

                10

Therefore, 10 is our answer.

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Learn more:

Multiplying decimals: https://brainly.com/question/13786600

Answer:

10

Step-by-step explanation:

A few changes were made while calculating the product of 6.25 and 1.6.

Now, let's calculate the product using long multiplication. (refer to attachment).

Answer: 15 4/3

Step-by-step explanation:

Final answer:

To find the dimensions of Amanda's rectangular canvas, we use the fact that the width is 4/5 of the length. By setting up an equation and solving for x, we find that x equals 3. Hence, the canvas measures 15 centimeters in length and 12 centimeters in width.

Explanation:

Amanda uses a rectangular canvas for painting where the length is given as 6x - 3 centimeters and the width is given as 2x + 6 centimeters. The width is also said to be 4/5 of the length. To find the dimensions of the canvas, we must set up an equation using the relationship between the width and the length:

Once we have the value of x, we can find the dimensions of the canvas:

So, the dimensions of Amanda's canvas are 15 centimeters in length and 12 centimeters in width.

Answer:

6:4,9:6,12:8,15:10

Step-by-step explanation:

Ratios equivalent to 3:2

3:2 = 3/2

1st equivalent = 3×2/2×2 = 6/4 = 6:4

2nd equivalent = 3×3/2×3 = 9/6 = 9:6

3rd equivalent = 3×4/ 2×4 = 12/8 = 12:8

4th equivalent = 3×5/2×5 = 15/10 = 15:10

I hope this was helpful, please mark as brainliest

Answer:

c=6

Step-by-step explanation:

4(2c-8)=16

Divide each side by 4

4/4(2c-8)=16/4

2c-8 =4

Add 8 to each side

2c-8+8=4+8

2c =12

Divide each side by 2

2c/2 =12/2

c=6

Answer: There are 20 goats and 18 chikens.

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

If the number of chickens is represented by C, and the number of goats is G.

Total of Animals equation:

a)C+ G = 38

Total of legs equation (since chickens have 2 legs and goats have 4 ):

b)2C + 4 G =116

If we multiply a) by 2 and subtract a) from b).

2C + 4 G =116

-

2C + 2 G =76

_________

2G = 40

G = 40/2

G= 20

Replacing the value of G on any equation:

a) C+ (20) =38

C =38-20

C=18

There are 20 goats and 18 chickens.

Answer:

chickens is represented by C, and the number of goats is G.

C=18

G=20

Total of Animals equation:

a)C+ G = 38

Total of legs equation (since chickens have 2 legs and goats have 4 ):

b)2C + 4 G =116

If we multiply a) by 2 and subtract a) from b).

2C + 4 G =116

-

2C + 2 G =76

_________

2G = 40

Solving for G:

G = 40/2

G= 20

Replacing the value of G on any equation:

a) C+ (20) =38

Solving for C

C =38-20

C=18

There are 20 goats and 18 chickens.

Answer:

32/5

Step-by-step explanation:

Answer:

h = -3

Step-by-step explanation:

to solve for h

-5 = h + (-2)  

just combine the like terms together

-5 = h + (-2)  

-5 + 2 = h

h = -3

Answer:

b

Step-by-step explanation:

Answer:

0.21

Step-by-step explanation:

Answer:

The original number of oranges purchased is 260

Step-by-step explanation:

Let the original number of oranges purchased be x

We are given that The number of oranges a grocery store bought this year was 15% more than the number of oranges bought last year.

So, Oranges bought this year = [tex]x+15\%x=x+\frac{15}{100}x=1.15x[/tex]

We are given that This year the store bought 299 oranges.

So, [tex]1.15 x= 299[/tex]

[tex]x=\frac{299}{1.15}[/tex]

x=260

Hence the original number of oranges purchased is 260

Answer:

Curly fries=$2.29 per order

Bacon=$4.79 per order

Step-by-step explanation:

let b denote bacon and f denote curly fries.

We represent the situations  using inequalities as:

[tex]2b+3f=16.45\ \ \ \ \ ...i\\\\1f+3b=16.66\ \ \ \ \ ...ii[/tex]

#we make f the subject of the formula in ii and substitute in i:

[tex]f=16.66-3b\\\\\#substitute \ in \ i\\\\2b+3f=16.45\\\\2b+3(16.66-3b)=16.45\\\\\\2b+49.98-9b=16.45\\\\-7b=-33.53\\\\b=4.79\\\\f=16.66-3\times 4.79\\\\=f=2.29[/tex]

Hence, one order of curly fries costs $2.29 and one order of bacon costs $4.79

Answer: t= 15

Step-by-step explanation:

1/4t= 3 3/4

Make 3 3/4 as an improper fraction:

15/4

Multiply:

t= 15/4 x 4/1

=60/4

t=15

Answer:

x=-10

Step-by-step explanation:

first put "x" on one side and the constants on the other

the equation becomes 2x=-20 or -2x=20

both cases divide by 2 and the answer becomes x=-10

or if you end up with -x=10 just multiply by -1 and it ends up the same

Answer

Decimal is a term that describes the base-10 number system, probably the most commonly used number system. The decimal number system consists of ten single- digit numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The number after 9 is 10. The number after 19 is 20 and so forth. Additional powers of 10 require the addition of another positional digit.

Step-by-step explanation:

[tex] - 4(x + 9) = 24 \\ \\ \therefore \: - 4x - 36 = 24 \\ \\ \therefore \: - 4x = 24 + 36 \\ \\ \therefore \: - 4x = 60 \\ \\ \therefore \: x = \frac{60}{ - 4} \\ \\ \therefore \: x = - 15[/tex]

Answer:

B.  62.8    is the correct answer

Step-by-step explanation:

Answer:

-118098

Step-by-step explanation:

Answer: 118098

Step-by-step explanation:

DM

Answer:

Large Box = 18.5

Small Box = 15.75

Step-by-step explanation:

Let x = large box and y = small box

5x+6y=187

3x+2y=87

cancel out one equation

(5x+6y=187)•3=15x+18y=561

(3x+2y=87)•-5=15x+10y=435

 15x+18y=561

-15x-10y=-435

–––––––––––

 0+ 8y= 126

  8y÷8 =126÷8

y=15.75

Substitute y into either original equation

3x+2(15.75)=87

3x+ 31.5=87

3x+ 31.5-31.5=87-31.5

3x=55.5

3x÷3=55.5÷3

x=18.5

Answer:

tails tails 26

Step-by-step explanation:

because the coins might not have different sides the probability of the coin landing on the same side 26 times is understandable

hope this helps

Answer:

Step-by-step explanation:

are you doing flvs? if you answer i can delete thi and help you. i mau be able to help ya out..

Answer:

47.1

Step-by-step explanation:

A=PIEr^2

if you have the diameter you dont need to square it so it is simply PIE(15)

then you get 47.1238898

round it

47.1

Answer:

176.6 mm^2

Step-by-step explanation:

We need to find the radius

r = d/2

r = 15/2 = 7.5

We want the area of a circle

A = pi r^2

A = pi * (7.5)^2

   = 3.14 * 56.25

    =176.625

Rounding to the nearest tenth

176.6 mm^2

Answer:

https://w w w .y o ut u b e. c o m / wa tc h ?v =z 5  0C 1b 2s O5 M

Answer: maybe divide the rectangle

Step-by-step explanation:

To find the answer of polygen

The result is approximately 40.7 cm^2.

To find the surface area of a cone:

Identify the radius and height of the cone.

Use the formula: Surface Area = [tex]pi* r( r + \sqrt{r^2 + h^2} )[/tex], where r is the radius and h is the height.

Substitute the values: Surface Area = [tex]pi * 2(2 + \sqrt{2^2 + 4^2} ) \\= pi * 2(2 + \sqrt{4 + 16} ) \\= pi * 2(2 + \sqrt{20} ) \\= 2 * pi * (2 + 4.47) \\= 2* pi * 6.47[/tex] ≈ 40.7 cm2.

Answer: 25 and 5 sowwy if i'm wrong.

Step-by-step explanation:

So we know that the box is 125 in3. What ___ times ____ is equal to = 125

So we should name the multiples of 125 which is : 1,5,25,125

25 times 5 is = 125 so there's your answer.

Answer:

4.9 x 5.1 x 5.0

Step-by-step explanation:

I just had this question