Please answer with a detailed explanation. Thank you!

Answer:

[tex]\frac{7}{2b}[/tex]

Step-by-step explanation:

[tex]\frac{1}{b\frac{2}{7}}[/tex]

[tex]\frac{1}{\frac{2b}{7}}[/tex]

[tex]\frac{7}{2b}[/tex]

4(1-2b)+7b-10

mutiply the bracket by 4

(4)(1)= 4

(4)(-2b)=-8b

4-8b+7b-10 ( combine like terms)

4-10-8b+7b

-6-b or -b-6

Answer: -6-b or -b-6

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression 4(1-2b)+7b-10 when simplified can be written as -(6+b).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression 4(1-2b)+7b-10 can be simplified as,

4(1-2b)+7b-10

= 4 - 8b + 7b - 10

= -6 - b

= -(6+b)

Hence, the given expression 4(1-2b)+7b-10 when simplified can be written as -(6+b).

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Answer:

$173.90

Step-by-step explanation:

The most obvious way to answer this question is to multiply $9.40 by 18.5

This would result in 173.90.

But I realize nobody like to deal with decimals in a multiplication problem, so here's the way I would do it (especially if you don't have a calculator!)

The strategy is to break it down!

Multiply $9.40 x 18 hours to start, since this is easier.

[tex]9.4 x 18 = 169.2[/tex]

So, that's $169.20 for 18 hours of work.

We aren't finished, because Abdel worked for 18.5 hours.

So, what half of $9.40?

[tex]9.4 / 2[/tex]

= 4.7

-or-

$4.70

So, knowing that Abdel makes $4.70 in half an hour, lets just add that onto the $169.20 we got earlier.

169.2 + 4.7 = 173.9

-or-

$173.90 for 18.5 hours of work!

Answer:

r=12.5 units

Step-by-step explanation:

Well assuming that DM means diameter of a circle, then r should be the radius of the circle.

Diameter of a circle is twice the radius of the circle, hence with the value of Diameter, you should half it to get the value of radius.

Given  diameter =25

Radius will be= 25/2 = 12.5 units

The value of r is 12.

This is because the line segment DM is made up of two segments, DG and GM.

We are given that the length of DM is 25, and the lengths of DG and GM are r+2 and 2r-13, respectively.

Therefore, we can set up the following equation:

r+2 + 2r-13 = 25

Combining like terms, we get:

3r - 11 = 25

Adding 11 to both sides, we get:

3r = 36

Dividing both sides by 3, we get:

r = 12

Therefore, the value of r is 12.

Question

Answer:

h=5

Step-by-step explanation:

5h +2 -h = 22​

4h+2=22

4h=20

h=5

Answer:

h = 5

Step-by-step explanation:

Start by subtracting 2 from both sides or subtraction property of equality

5h - h = 20

Combine like terms

4h = 20

Division property of equality or divide 4 from both sides

Your final answer is h = 5

Hope this helps

- Que

Answer:

A. It would be less steep.

Step-by-step explanation:

took the test

Answer:

The cost of the doll is $11.75

Step-by-step explanation:

Let

x ----> the cost of the doll

y ----> the cost of the toy t-rex

we know that

[tex]x+y=33[/tex] -----> equation A

[tex]y=x+9.50[/tex] ----> equation B

substitute equation B in equation A and solve for x

[tex]x+(x+9.50)=33\\2x+9.50=33\\2x=33-9.50\\2x=23.50\\x=\$11.75[/tex]

therefore

The cost of the doll is $11.75

Answer:

Doll cost = $11.75.

Step-by-step explanation:

Given  :A doll and a toy t-rex cost $33 together. If the t-rex toy costs $9.50 more than the doll.

To find :   how much did the doll cost.

Solution : We have given

A doll and a toy t-rex cost $33 together.

Let the Doll cost = x .

According to question .

t-rex toy costs $9.50 more than the doll.

T-rex cost = $9.50+ x .

Then, A doll and a toy t-rex cost $33 together.

Doll cost + T oy t-rex cost =  $33

Plugging the values

x +  $9.50+ x  =$33 .

2x + $9.50 =$33 .

On subtracting both sides by $9.50

2x =33 - 9.50

2x = 23.5.

On dividing both sides b y 2

x = $11.75

Doll cost  =$11.75

Toy Cost = 9.50 +11.75.

Toy Cost = $21.25

Therefore, Doll cost = $11.75.

Answer:

8

Step-by-step explanation:

8 x 8 / 1 x 1 = 8

Final answer:

The value of the expression m² + 3m when m=4 is found by squaring the m and then multiplying m by 3, which gives a final value of 28.

Explanation:

The value of the expression m² + 3m when m=4 is calculated by substituting the value of m into the expression. First, we take m which is 4, and square it (4²=16), then we multiply m by 3 (3*4=12). Adding these two results together (16+12), we get the final value of the expression.

Step-by-step solution:

m² + 3m

4²+ 3*4

16 + 12

The resulting value is 28.

Answer:

B)  ( x +  3y)²

Step-by-step explanation:

u = x + y    ;  v =  x + 5y

uv = ( x + y ) * ( x + 5y)                

    = x * ( x + 5y) + y * (x + 5y)                    [ x * ( x + 5y) = x*x + x*5y = x² + 5xy]

    = x² + 5xy  + xy  + 5y²

   uv  = x² + 6xy + 5y²----------equ 1

v - u =   x + 5y - ( x+y)

       = x + 5y - x - y

       =  4y

(v-u)² = (4y)² = 16y²

[(v-u)/2]² = 16y² / 2²

              = 16y² / 4 = 4y²

[(v-u)/2]² =  4y²     ----------- equ 2

uv + [(v-u)/2]² = x² + 6xy + 5y² + 4y²      ( from equ 1 and equ 2)

                     = x² + 6xy + 9y²

                     = ( x +  3y)²

Answer: 3+4=7

Step-by-step explanation:

So basically let’s say

A= #1

And So right now we have A+B=7

B= #2

So b=a-1 right? Yeah ok so then what you need to do is find A....

So 7-1=6 and 6÷2 = 3 so

A=3

And Than 3+4=7 so that is your answer

B=4

The two-digit number which meets the criteria that its digits sum to 7 and the tens digit is one more than twice the units digit, is 52.

Let's denote the units digit as 'x' and the tens digit as 'y'. We know that the sum of the digits is 7, which gives us the equation x + y = 7. Secondly, we know the tens digit is one more than twice the units digits, so y = 2x + 1. We can solve these two equations simultaneously.

Substituting y from the second equation in the first gives us x + (2x + 1) = 7. Simplifying this results in 3x + 1 = 7. Upon solving we find x = 2. Substituting x = 2 into the first equation we get y = 7 - 2 = 5. Thus, the number is 52.

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Whenever you take the square root of a number you get a negative and a positive result: √ 4 = ± 2 or { − 2 , 2 } − 2 ⋅ − 2 = 4 and 2 × 2 = 4

The two square roots of 4 are 2 and -2.

The factor of a number that, when multiplied by itself, yields the original number is known as the square root of the number. Special exponents include squares and square roots. Think about the number 9. When the number 3 is multiplied by itself, the result is 9. This can be expressed as either 3² or 3 × 3.

Given:

The number is 4,

Factorize the number as shown below,

4 = 2 × 2

Calculate the value of the square root of 4 as shown below,

√4 = √(2 × 2)

√4 = ±2

√4 =  2 or -2

Check as:

-2 × -2 = 4

2 × 2 = 4

Thus, the square root of 4 is  2 and -2.

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Answer:

Step-by-step explanation:

Factor 3x out of 6x2−15x

.

3x(2x−5)

Answer:

Step-by-step explanation:

6x²-15x = 3x(2x- 5)

Final answer:

To solve the system of equations, we determined the number of hotdogs sold as 'h' and found out that the vendor sold 57 hotdogs and 171 sodas.

Explanation:

The problem given is a system of equations question where we need to find the number of sodas and hotdogs sold by a vendor when given the total sales and the ratio of sodas to hotdogs. To solve this, we'll denote the number of hot dogs sold as 'h' and the number of sodas sold as 's'. According to the problem, the total number of items sold is 228, which gives us the equation:

s + h = 228.

It's also given that the number of sodas sold is three times the number of hot dogs sold. This is our second equation:

s = 3h.

Now we can substitute the second equation into the first, yielding:

3h + h = 228,

which simplifies to:

4h = 228.

Dividing both sides by 4 gives:

h = 57.

With the knowledge that h = 57, we use s = 3h to find that:

s = 3 × 57,

s = 171.

Therefore, the vendor sold 57 hotdogs and 171 sodas.

Answer:

The slope of the line is 7/2.

Step-by-step explanation:

If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the slope of the line is

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the given figure it is clear that the line passes though two points (0,0) and (4,14).

Using the above formula, the slope of the line is

[tex]m=\frac{14-0}{4-0}[/tex]

[tex]m=\frac{14}{4}[/tex]

[tex]m=\frac{7}{2}[/tex]

Therefore the slope of the line is 7/2.

Answer:

the answer is 7/2

Step-by-step explanation:

Answer:

q=5/6

Step-by-step explanation:

16q-10=4q

16q-4q=10

12q=10

q=5/6

Answer:

-2 -27 the answer is -24

1 and 12 4

4 and 57 the answer is 53

10 and 147 the answer is 157

Answer:

No

Step-by-step explanation:

Proportional relationships are defined as two quantities that directly relate to one another.

-2/-27= 0.07

10/147= 0.06

These values are different meaning that the relationship is not proportional! You can also write the values as a fraction to see if they relate.

Answer:

18q

Step-by-step explanation:

18 times q = 18q, thats all

Step-by-step explanation:

3(1+5)  (distributive property)

= 1(3) + 5(3)

= 3 + 15

= 18 (answer)

Answer:

6.24

Step-by-step explanation:

You exclude the 1 5 9 and since the 1 isn't higher than a 5 it remains a 4. Getting you 6.24

6.24159 rounded to the hundredths place is 6.24

Rounding given values to the nearest hundredth is similar to rounding such values to 2 decimal places

Given the value 6.24159, to round this to the nearest hundredth means that;

Therefore 6.24159 rounded to the hundredths place is 6.24

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Answer:

In multiplication, 216x27 is the same as 27x216

It is also the same expression as 6x^9

Answer:5832

Step-by-step explanation:

Answer:

3 + 15

5 + 15

kalalalalalalalalalalasla

Step-by-step explanation:

In order to find the answer you will have to use PEMDAS and simplify making sure not to solve the equation fully.

[tex]2+3(5-2)^2[/tex]

Using PEMDAS:

[tex]2\times2=4[/tex]

[tex]2+3\times(5-4)[/tex]

[tex]5-4=1[/tex]

[tex]2+3\times4[/tex]

[tex]3\times4=12[/tex]

[tex]2+12[/tex]

Therefore your answer is "2+12."

Hope this helps.

Final answer:

The missing value in the data set that will preserve the median of 28.5 is 32. This is found by averaging the middle two numbers of the six-number series, solving the equation (25 + missing value)/2 = 28.5.

Explanation:

Calculating the Missing Value in an Ordered Data Set

To determine the missing value in an ordered data set when given the median, you should remember that the median is the middle number in a sorted list of numbers. If the data set has an even number of values, the median is the average of the two middle numbers. For the set 7, 12, 25, _, 41, 50, where the median is given as 28.5, the missing value must be the average of the third and fourth terms since the data set should have six numbers total.

To find the missing value, set up the equation for the median: (25 + missing value)/2 = 28.5. Solve for the missing value:
(25 + missing value) = 28.5 × 2
missing value = (28.5 × 2) - 25
missing value = 57 - 25
missing value = 32

The missing value in the data set to maintain a median of 28.5 is 32.

Answer:

1/8

Step-by-step explanation:

Imagine the value of all of the t-shirts are equal to 1.

3/5 of all of them are blue, so 3/5 of 1 --> 3/5 * 1 =3/5

5/8 of the blue tshirts are on sale, so 5/8 of 3/5 --> 5/8 * 3/5 = 3/8

1/3 of those tshirts are medium, so 1/3 of 3/8 --> 1/3 * 3/8 = 1/8

So, 1/8 of all of the tshirts are blue, on sale, and medium

The fraction of the shop's T-shirts that are blue, on sale, and size medium is 1/8.

To find the fraction of the shop's T-shirts that are blue, on sale, and size medium,  multiply the fractions representing each condition.

Given:

Three-fifths (3/5) of the T-shirts in the shop are blue.

Five-eighths (5/8) of the blue T-shirts are on sale.

One-third (1/3) of the blue T-shirts on sale are size medium.

To find the fraction of blue T-shirts that are on sale,  multiply the fractions representing each condition:

(3/5) * (5/8) = 15/40 = 3/8

This means that 3/8 of the blue T-shirts are on sale.

To find the fraction of blue T-shirts that are on sale and size medium, multiply this result by the fraction representing the size medium condition:

(3/8) * (1/3) = 3/24 = 1/8

Therefore, the fraction of the shop's T-shirts that are blue, on sale, and size medium is 1/8.

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Answer:

42/n-8 which equals -1. (The 3rd answer)

Step-by-step explanation:

8 less means + (-8) and the quotient of 42 and a number means 42/n. Therefore the expression can be derived as (-8)+42/n which can be rewritten as (using the commutative property) 42/n+(-8) or 42/n-8, and to solve substitute n as 6 to find:

42/6-8=7-8=-1

Answer:3rd answer choice

Step-by-step explanation:3rd answer choice

Hey!

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

We Know:

m∠AED = 34°

m∠EAD = 112°

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

Solution:

You notice 4 small triangles in both triangles. That shows that both triangles are the same.

The angles are the same for m∠BDC and m∠AED.

The angles are the same for m∠ADB and m∠EAD

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

Angles:

m∠BDC = 34°

m∠ADB = 112°

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

Congruent Angles:

m∠AED ≡ m∠BDC

m∠EAD ≡ m∠ADB

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

Hope This Helped! Good Luck!

The measure of the angle ∠BDC is 34.

The measure of the angle ∠ADB is 112.

We have,

In the diagram,

There are two congruent triangles.

ΔAED and ΔBDC

Now,

The congruent angles are:

∠AED = ∠BDC

∠EAD = ∠DBC

∠ADE = ∠BCD

Now,

∠AED = 34

∠EAD = 112

This means,

∠AED = ∠BDC = 34

∠EAD = ∠DBC = 112

And,

The sum of the three angles inside a triangle is always 180.

So,

∠AED +∠EAD + ∠ADE  = 180

34 + 112 + ∠ADE = 180

∠ADE = 34

Now,

∠ADE = 34

This means,

∠ADE = ∠BCD = 34

Now,

∠ADE + ∠BDC + ∠ADB = 180

34 + 34 + ∠ADB = 180

∠ADB = 180 - 68

∠ADB = 112

Thus,

The measure of the angle ∠BDC is 34.

The measure of the angle ∠ADB is 112.

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Answer:

(1,0) would be the correct answer.

Step-by-step explanation:

any point that is reflected across y=x will change unless it is on the line. if reflected across y=x, the coordinates will become y,x

Hey!

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

Answers:

B-B-A-B

A-B-B-B

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

Explanation:

We assume that the winner is from a private school (B). As we look at the options we can see that there are two options that show B at least 3 times in the span.

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

Hope This Helped! Good Luck!

b and dAnswer:

Step-by-step explanation:

Answer:

C. Lourdes found m∠D + m∠F.

Step-by-step explanation:

70° + 35° = 105°

This is the Angle Addition Postulate of ∠F and ∠D.

I am joyous to assist you anytime.

The mistake Lourdes did is Lourdes found m ∠ D + m ∠ F. (option C)

Parallel lines are those straight lines that are always the same distance apart from each other. Parallel lines never meet, no matter how much they are extended.

Given that, line y is parallel to line EF. Lourdes used the diagram to find that m1 = 105°.

There are many ways to m ∠ 1

A) Since, m ∠ 1, m ∠ 2 and 70° are in straight line, therefore, they are making a linear pair, that mean,

m ∠ 1 + m ∠ 2 + 70° = 180°

Now, m ∠ 2 = 35° (alternate interior angles)

Therefore,

m ∠ 1 + 35° + 70° = 180°

m ∠ 1 = 75°

Therefore, Lourdes's 1st way is correct.

B) If she uses m ∠ 1 = m ∠ E,

That is also correct because, m ∠ 1 and m ∠ E are a pair of alternate interior angles.

C) If she is using m ∠ D + m ∠ F,

She is missing a step in it, after adding m ∠ D and m ∠ F she needs to subtract the sum from 180, because the sum of interior angles of a triangle is 180°, and if she needs to find m ∠ E to find m ∠ 1 then she needs to subtract the sum of m ∠ D and m ∠ F from 180°.

D) As we discussed in option third, in this option Lourdes is subtracting the sum from 180, hence, she is correct here.

Hence, the mistake Lourdes did is Lourdes found m ∠ D + m ∠ F. (option C)

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