y+7=9/10(x+3) in standard form

Let d denote the distance covered(in km) over the time t(in hours) with a speed of 10 km/h.

This means that the with the increasing time the distance covered will also increase.

Hence, the two variables i.e. distance and time are directly proportional to each other and also the equation which describes this relationship is given by:

                                  d=10t

Also, the relationship is Linear.

Since, the equation is linear which relates the two variable.

The angle measures is equivalent to 23 degrees.

Vertically opposite angles are equal

To determine the angle, we have to know that vertically opposite angles are equal and angles on a straight line equal 180 degrees

Then, we can say that;

<1 = 3

< 2 = < 4

Substitute the expressions, we have;

x + 16 = 4x - 5

collect the like terms, we have;

x - 4x = -5 - 16

subtract the values, we get;

-3x = -21

divide by the coefficient, we have;

x = 7

Then, we can say;

<1 = <2 =< 3 = < 4

= 23 degrees

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Part a) Sam got a new job with a $7.00 per hour raise. He worked for 5 hours and got paid $85.00. How much did he make before the raise?

Let

x--------> amount that Sam earned before the raise

we know that

[tex] (x+7) *5 =85 [/tex]

Solve for x

[tex] 5x+35 =85 [/tex]

[tex] 5x =85-35 [/tex]

[tex] 5x =50 [/tex]

[tex] x=10\ dollars\ per\ hour [/tex]

therefore

the answer Part a) is the option

A. $10.00 per hour

Part b) Julia knows 19 Latin words. Each day, she learns 6 new words. How many days until she knows 145?

Let

x-------> the number of days

y-------> the total words Julia Knows

we know that

[tex] y=19+6x [/tex] ------> equation [tex] 1 [/tex]

For y=[tex] 145 [/tex]

Find the value of x

Substitute in the equation [tex] 1 [/tex] the value of y

[tex] 145=19+6x [/tex]

[tex] 6x=145-19 [/tex]

[tex] 6x=126 [/tex]

[tex] x=21\ days [/tex]

therefore

the answer Part b) is the option

B. 21

Part c) Claire has a part-time job walking dogs Monday through Friday. Business has really increased. She is walking 3 more dogs per day than she did last week. If she walked a total of 35 dogs this week, how many dogs did she walk per day last week?

Let

x--------> the number of dogs that Claire walked last week per day

we know that

[tex] x=\frac{35}{5} -3\\\\ x=7-3\\\\x=4\ dogs\ per\ day [/tex]

therefore

the answer Part c) is the option

C. 4

Part d) Kayla needs to have $560.00 to buy a new laptop. She already has $200.00 in the bank. Each month she will add $45.00 to her bank account. How many more months until she has enough money to buy her laptop?

Let

x--------> the number of months

y-------> amount in the bank account in dollars

we know that

[tex] y=45x+200 [/tex]

Find the value of x for y=[tex] 560 [/tex]

[tex] 560=45x+200 [/tex]

[tex] 45x=560-200 [/tex]

[tex] 45x=360 [/tex]

[tex] x=8\ days [/tex]

therefore

the answer part d) is the option

D. 8

Part e) Mark bought a notebook for $1.45 and some pencils that cost $0.42 each. If total cost was $6.91, how many pencils did he buy?

Let

x------> the number of pencil

we know that

[tex] 6.91= 1.45+0.42x\\\\ 0.42x=6.91-1.45\\\\ 0.42x= 5.46\\\\ x= 13\ pencils [/tex]

therefore

the answer part e) is the option

B. 13

The subject of this question is Mathematics, specifically involving basic algebra and arithmetic. Students are required to apply the math principles given in the example boxes throughout the chapter.

The subject of this question is Mathematics. It involves basic algebra and arithmetic to solve mathematical problems and apply the principles given in the example boxes throughout the chapter. The question likely requires students to use their math skills to solve a specific problem or answer a mathematical question.

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-12 / 23 = -0.52

 so none of those are the correct answer.

if the 23 is suppose to be the fraction 2/3

 then you have -12  / 2/3 which =  -12 * 3/2 = -36/2 = -18

Answer:

hello your answer is -36  

Step-by-step explanation:

1. 12 = 12/1 so we keep the first number then2. we change the division sign to times 3. flip the second number 2/3 is turned to 3/2 then  multiply  so 12/1 x 3/2 is 36/2  hope this helps have a nice day !

The required pairs of triangles in A and D are congruent triangles.

Congruent triangles are two triangles that have the same shape and size. In other words, they are identical in every way, including their angles and side lengths. When two triangles are congruent, their corresponding sides and angles are equal.

Here,

Congruent triangles are important in geometry because they have many useful properties and can be used to solve a variety of problems. For example, if two triangles are congruent, then any corresponding parts (such as their altitudes, medians, or angle bisectors) will also be congruent. This can be helpful in finding missing side lengths or angles of a triangle.

Thus, from the above definitions Pairs of triangles in A and D are congruent triangles.

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Answer: The correct option is A.

Explanation:

The given equation is,

[tex]4(x+5)-5=\frac{8x+18}{2}[/tex]

Multiply both sides by 2.

[tex]2[4(x+5)-5]=\frac{8x+18}{2}[/tex]

[tex]8(x+5)+2(-5)=8x+18[/tex]

[tex]8x+40-10=8x+18[/tex]

[tex]8x+30=8x+18[/tex]

Subtract both sides by 8x.

[tex]30=18[/tex]

This statement is false for any value of x, therefore the system of equation have no solution and option A is correct.

Answer:

Option A is correct

No solutions

Step-by-step explanation:

The distributive property says that:-

[tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]

Given the equation:

[tex]4(x+5)-5 = \frac{8x+18}{2}[/tex]

Using distributive property we have;

[tex]4x+20-5 = \frac{8x+18}{2}[/tex]

⇒[tex]4x+15= \frac{8x+18}{2}[/tex]

Multiply both sides by 2 we have;

[tex]8x+30 = 8x+18[/tex]

Subtract 8x from both sides we have;

[tex]30=18[/tex] False.

For any value of x, there is no solutions for the given system of equation

Therefore, No solution can be found for the linear equation

Alexandra will need approximately 8 months to save enough money for the school trip.

To calculate the number of months Alexandra needs to save money for her school trip, we'll first find out how much she saves each month after deducting her personal expenses.

Monthly earnings from paper route: $125

Monthly personal expenses: $20

Monthly savings = Earnings - Expenses

Monthly savings = $125 - $20

Monthly savings = $105

Now, let's determine how many months it will take for Alexandra to save enough money for the trip.

Total cost of the school trip: $800

Number of months needed = Total cost of trip / Monthly savings

Number of months needed = $800 / $105

Number of months needed ≈ 7.62

Therefore, Alexandra will need approximately 8 months to save enough money for the school trip.

Each month, Alexandra earns $125 from her paper route. After deducting her personal expenses of $20, she saves $105 per month. Since the school trip costs $800, we divide the total cost of the trip by her monthly savings to find out how many months she needs to save. The result is approximately 7.62, so we round up to 8 months. Therefore, Alexandra needs 8 months to save enough money for the school trip.

Complete question:

Alexandra earns $125 from her paper route each month, but she spends about $20 each month on personal expenses to pay for a school trip that costs $800 about how many months does she need to save money? Explain

2x-3=7

add 3 to both sides

2x = 10

divide both sides by 2

x = 10/2

x = 5

 since the equation is between 2 lines, which means absolute value x can be both positive and negative,

 so the solution set is -5 and 5

Answer:

The answer is C

Step-by-step explanation:

Answer:

what even is this???????????????

Answer:  5

Step-by-step explanation:

Let x be the number of adults and y be the number of children going to the movies one Saturday.

Given : A group of 11 people are going to the movies one Saturday.

[tex]x+y=11----------------(1)[/tex]

Adults' tickets cost $11.50 each and children's tickets cost $7.25 each.

The total cost for admission to the movies is $105.25.

i.e. [tex]11.50x+7.25y=105.25-----------------(2)[/tex]

Multiply equation (1) by 11.5 , we get

[tex]11.5x+11.5y=126.5---------------------(3)[/tex]

Subtract equation (2) from (3), we get

[tex]4.25y=21.25\\\\ y=\dfrac{21.25}{4.25}=5[/tex]

Put value of y= 5 in (1), we get

[tex]x+5=11\\\\ x=11-5=6[/tex]

Hence, 5 children attends the movie.

Answer:

1) The difference between four times the number b and 2.

2) 16 + 4*x

3) if there are 8 fewer boys than girls in the class, then g - b = 8, so the number of boys is: b = g - 8

4) 3.2*[tex]10^{-4}[/tex] is less than 1 because of the negative exponent, the expression is equivalent to 3.2/10000 = 0.00032 < 1

5) Ok, Dough is twice Anne's age. so if D is Dough's age, and A is Anne's age:

D = 2*A

and D = 34

then 34 = 2*A

if we divide both sides by 2, we get

34/2 = 2*A/2

17 = A

Anne is 17 years old.

Answer: A

Step-by-step explanation:

Answer:

[tex]f(x)= 3x^2[/tex] and [tex]g(x)= x+2[/tex]

Step-by-step explanation:

[tex]h(x)=(f o g) (x)[/tex]

[tex]h(x)=3(x+2)^2[/tex]

[tex](f og)(x) = f(g(x))[/tex]

g(x) is the inside function and f is the outside function

To get g(x) , we need to find the inside function in h(x)

[tex]h(x)=3(x+2)^2[/tex]

Inside function is x+2

So g(x) is x+2

when g(x)= x+2 then f(x) is [tex]3x^2[/tex]

So [tex]f(x)= 3x^2[/tex] and [tex]g(x)= x+2[/tex]