What is the value of a in the equation 3 a plus b equals 54, when b equals 9?

Answer:

40

explanation:

240 ÷ 6 = 40

The value of expression 240 divided by 6 would be equal to 40

When 'a' is divided by 'b', then the result we get from the division is part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

We need to find the expression of 240 divided by 6

A negative divided by a negative is positive

240 ÷ 6 = 40

Therefore, The value of 240 divided by 6 is; 40

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Answer:

The x-intercept is at -8 and the y-intercept is at -5.

Step-by-step explanation:

When you simplify 5x + 8y = 40 into y = mx + b form, you get y = -5/8x - 5.

Answer: x-intercept is (-8,0) and y-intercept is (0,-5)

Step-by-step explanation:

5x+8y=-40

To find the x-intercept, you plug in 0 in for y.

5x+8(0)=-40

5x=-40

Then solve for x

5x/5=-40/5

x=-8

The x-intercept is (-8,0)

To find the y-intercept, you plug in 0 in for x

5(0)+8y=-40

8y=-40

Solve for y

8y/8=-40/8

y=-5

y-intercept is (0,-5)

Answer:

1, 4

Step-by-step explanation:

e is the exponent of the number, therefore it is the number which 10 is raised by, so -4.

Which means -1.7 will be multipled by 10 raised to the -4 power, so 1 is obviously correct.

Additionally, This is in scientific form. You can also write this in standard form in decimals, 10^-4 means it is 4 decimal places ahead the original number so you can move the decimal point back 4 places and add 0s, you will see that -0.00017 is also in fact correct.

Answer:

1 and 4.

Step-by-step explanation:

That would be -1.7 * 10^-4.

Also it can be written as -0.00017.

Answer:

This is False / incorrect

Step-by-step explanation:

because one side is positive and the other one negative

Answer:

No, it would just be -5^4

Step-by-step explanation:

Because when distributing the negative into the parentheses, we would not keep the parentheses afterwards

Answer:

Part 1) Dan wrote in expanded form two millions thirty five thousand, four instead of  two millions , three hundred fifty thousand, four

Part 2) The standard for of the number is [tex]2,350,004[/tex]

Step-by-step explanation:

we have

The number two millions , three hundred fifty thousand, four

we know that

Dan Wrote

[tex](2*10^6)+(3*10^4)+(5*10^3)+4=2,000,000+30,000+5,000+4=2,035,004[/tex]

The number that Dan wrote is two millions thirty five thousand, four

The correct number in expanded form is

[tex](2*10^6)+(3*10^5)+(5*10^4)+4=2,000,000+300,000+50,000+4=2,350,004[/tex]

The standard for of the number is [tex]2,350,004[/tex]

In order to get the answer to this question you must multiply the numerators then multiply the denominators and reduce if needed.

[tex]\frac{1}{5} \times\frac{6}{7}[/tex]

[tex]1\times6=6[/tex]

[tex]5\times7=35[/tex]

[tex]=\frac{6}{35}[/tex]

Therefore your answer is option C "6/35."

Hope this helps.

A. Addition Property of Equality. The property that states that if you add the same number to both sides of an equation, the sides remain equal. Which as we see the equation still remains equal.

To go through Step 3 to Step 4 he used the addition property of equality. Option A is correct.

Given that,
Simion used steps to solve the equation,
To determine which property did he use to get from step 3 to step 4.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
Step 1: -6(x + 7) = 2(x − 11)

Distributive property

Step 2: -6x − 42 = 2x − 22

Addition property of equality
Adding 2x on both side

Step 3: -8x − 42 = -22

Addition property of equality
Adding 42 on both sides

Step 4: -8x = 20

Thus, to go through Step 3 to Step 4 he used the addition property of equality. Option A is correct.

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Answer:

y = -5x + 12

Step-by-step explanation:

10x + 2y = −2

-10x - 10x

_______________

2y = -10x - 2

__ ________

2 2

y = -5x - 1, [0, 12] ∥↷

12 = -5[0] + b

0

12 = b

y = -5x + 12

I am joyous to assist you anytime.

Answer: [tex]y=-5x+12[/tex] or [tex]5x+y=12[/tex]

Step-by-step explanation:

The given equation of a line: [tex]10x+2y=-2[/tex]

Rewrite equation of line in slope intercept form (y=mx+c) by subtracting 10 on both sides and then divide both sides by 2, we get

[tex]y=-5x-1[/tex]

Slope of line : m= -5   [Coefficient of x]

Since , the slope of two parallel lines are equal.

Then, slope of line parallel to given line= -5

Equation of a line passing through point (a,b) and has slope p is given by :-

[tex](y-b)=p(x-a)[/tex]

Similarly, Equation of a line passing through point (0,12) and has slope -5 is given by :-

[tex](y-12)=(-5)(x-0)\\\\\Rightarrow\ y-12=-5x\\\\\Rightarrow\ 5x+y=12[/tex]

Answer:

4

Step-by-step explanation:

You have 0.44

0 is in the ones place

4 is in the tenths place (0.4)

And the other 4 is in the hundredths place (0.04)

Answer:

4

Step-by-step explanation:

There is a 4 in the tenths place which is 0.4, and there is a 4 in the hundredths place which is 0.04. The 0.04 is the hundredths place, making 4 your answer

Answer: PEMDAS

parenthesis, exponents, multiplication, division, addition, subtraction

Step-by-step explanation:

Answer:

Collect like terms or reduce or using PEMDAS METHOD.

Answer:

x=53

Step-by-step explanation:

In the attachment, it shows how the angle 53 is vertically opposite to the one in blue. Which happens to be corresponding, therefore equal, to the angle x.

Have a nice day!!! :-)

KA

Answer:

Step-by-step explanation:

[tex]5|6n+15|+2=-43\qquad\text{subtract 2 from both sides}\\\\5|6n+15|+2-2=-43-2\\\\5|6n+15|=-45\qquad\text{divide both sides by 5}\\\\\dfrac{5\!\!\!\!\diagup^1|6n+15|}{5\!\!\!\!\diagup_1}=\dfrac{-45\!\!\!\!\!\diagup^9}{5\!\!\!\!\diagup_1}\\\\|6n+15|=-9\qquad\bold{FALSE}\to\text{no solution}\\\\\text{because}\ |a|\geq0\ \text{for any real value of}\ a.[/tex]

A. 20 - (- 10) = 20 + 10 = 30 points.

B. Illustrated on the diagram.

C. The difference between the number of points she needs to win and the number of point she has now is 30 points.

A number line is a horizontal line where we can represent any real number.

The origin of the number line is represented with zero and left to it are all negative numbers and right to it is all positive numbers.

Given, she has  - 10 points, and to win she needs 20 points.

∴ She needs 20 - (- 10) = 20 + 10 = 30 points.

Modeling of this situation is represented by the diagram given.

The difference between the number of points she needs to win and the number of point she has now is 30 points.

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This answer provides a step-by-step explanation of how to solve a subtraction and addition problem in the context of a board game scenario.

A. Subtract problem: Marcie needs 20 points to win, she has -10 points. The subtraction problem is 20 - (-10). This can be written as an addition problem: 20 + 10.

B. Model on the number line: Mark 20 as the target number on the number line and then move 10 units to the right to represent addition.

C. The difference: The difference between the number of points Marcie needs to win and what she has now is 30 points.

Answer: 316 km

Step-by-step explanation:

If the scale is 1 cm is equal to 79 km, and you have to find the real distance of 4 cm, then you would just multiply 4 times 79:

4 x 79 = 316

giving you your answer of 316 kilometers. Hope this helps!

Answer:

316

Step-by-step explanation:

4x79=316

Final answer:

To determine the full capacity of the tank, the amount of oil it contains when it is 7/12 full (5 1/4 gallons) is divided by 7/12. After conversion and calculation, the full capacity is found to be 9 gallons.

Explanation:

The student's question asks, "When an oil tank is 7/12 full, it contains 5 1/4 gallons. How many gallons does it hold when full?" To find the full capacity of the tank, we divide the amount of oil when the tank is partially full by the fraction representing how full it is.

First, convert 5 1/4 gallons to an improper fraction: 5 1/4 = 21/4 gallons. Then divide this amount by 7/12 to find the full capacity.

Full capacity = (21/4) ÷ (7/12) = (21/4) × (12/7) = (21×12) / (4×7) = 252 / 28 = 9 gallons.

So, the full capacity of the oil tank is 9 gallons.

Here's my step-by-step explanation:

We're just gonna factor.

If your teacher has spoken of FOIL, then he/she has probably said that it means First Outer Inner Last and that it helps with distributing problems like these.

Right, so let's get to it.

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

Can you see the FOIL method being spread out here? Let's keep going.

[tex]2x(4x) + 2x(-5) + 3x^2(4x) + 3x^2(-5)\\8x^2 + (-10x) + 12x^3 + (-15x^2)\\12x^3 + 8x^2 - 15x^2 -10x\\12x^3 -7x^2 -10x[/tex]

Hope this helps, and let me know if I made a mistake! ^_^

Answer:

c. y + 9 = -4(x - 4)

Step-by-step explanation:

According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful.

I am joyous to assist you anytime.

Answer:

129/10 or 12.9

Step-by-step explanation:

Multiply 0.7 by 3 and subtract that answer by 15

Answer:

12.9 dat was easy

Answer:

Step-by-step explanation:

[tex]|a|=\left\{\begin{array}{ccc}a&for&a\geq0\\-a&for&a<0\end{array}\right\\\\\text{Examples:}\\\\|2|=2\\|-5|=-(-5)=5\\|0|=0\\|-23|=23\\\\=====================\\\\|x|=3\Rightarrow x=-3\ or\ x=3\\\\\text{Check:}\\\\|3|=3\\|-3|=-(-3)=3[/tex]

Answer:

60000

Step-by-step explanation:

Rough estimate:  1000(60) = 60000

Answer:

1,103~1,000

59~60

×__________________

60000

Step-by-step explanation:

You round each of them by the nearest place then multiply (ex. 12 round the 2 because its the one closest to the highest place ~10

× 15~10=100) sorry if it doesn't make sense @-@

Answer:

8.50x+55=123

Step-by-step explanation:

x will be the number of days, then the daily fees are 8.50x. Since there is a flat fee of $55, the total fees are 8.50x+55

Answer:

The expression are not equivalent.

Step-by-step explanation:

For Angeline we have the next process:

[tex](7+15)\times(38+15)=22\times53=1166[/tex]

For MeiLing we have:

[tex]15\times(7+38)=15\times45=675[/tex]

Then we have that the students expressions are not equivalent.

The process to solver the expressions was solving first the parenthesis and after that solver the multiplication.

Angeline's and MeiLing's expressions are not equivalent; Angeline's result is 1166 whereas MeiLing's is 675, due to different placement of parentheses and the main operator used.

To determine if the expressions provided by Angeline and MeiLing are equivalent, we must first simplify both expressions using the order of operations.

Angeline's expression is: (7 + 15) × (38 + 15). First, we perform the additions inside the parentheses:

7 + 15 = 22

38 + 15 = 53

Now we multiply the sums:

22 × 53 = 1166

MeiLing's expression is: 15 × (7 + 38). Again, we first add the numbers inside the parentheses:

7 + 38 = 45

And then multiply by 15:

15 × 45 = 675

Angeline's result is 1166 and MeiLing's result is 675, so the two expressions are not equivalent. It's the placement of the parentheses and the use of the main operator that leads to different results. This illustrates the importance of following the proper mathematical rules and sequence of operations to get the correct answer.

Answer:

There are four kind of transformation that can take place in any Geometrical shape

1. Reflection----Congruent Image

2. Rotation---Congruent Image

3. Translation---Congruent Image

4. Dilation -----Similar Image

The Correct three options which Describes Transformation are

→ It is rigid.----( Reflection, Translation, Rotation)

→ It is non-rigid.-----(Dilation)

→ It is isometric.------Length remain Preserved that is Reflection, Translation, and Rotation

→The size is preserved.-------Reflection, Translation, and Rotation.

I Hope It's Helpful:)

This is an arithmetic sequence

The value of the 3rd term is 72

There are 4 terms in this sequence

The sequence starts at 60 and adds 6 repeatedly

-4x - y = 24

Let y = 8

-4x - 8 = 24

-4x = 24 + 8

-4x = 32

You finish.

Answer:

The correct answer is 3ft | 4ft | 4ft

Step-by-step explanation:

Got it correct on edge

The dimensions of the lumber that can be used to build the triangular garden are 3ft, 4 ft and 4ft.

A triangle is a three-sided polygon with three edges and three vertices. The sum of angles in a triangle is 180 degrees

In order to determine the pieces that can be used to build the triangular garden, the sum of the two sides must be greater than the length of the third side

2 + 2 < 7

1 + 4 < 6

3 + 2 < 6

3 + 4 > 4

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Answer:

15

Step-by-step explanation:

We can just make a ratio. 5:4 = x:12. We see x=15

The height of the tree = 15m.

let us say the height of the tree=h

in this problem,

the height of the sam can be treated as perpendicular of a right-angle triangle.

while his shadow can be treated as the base of the same triangle.

now, we need to calculate the angle of elevation α

it is the angle between the line of sight and the horizon.

hence,

the tangent of the angle of elevation α= height/length of the shadow

tanα= 5/4

tan α = height of the tree/length of the shadow of the tree

5/4 = h/12

h=15m

therefore, the height of the tree = 15m

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Answer:

24 Months; $5950

Step-by-step explanation:

As laden country wildlife conservation counts the butterflies each year they have data over 3 years and is based on four types of butterflies.  

Learn more about the Wildlife Conservancy counts butterflies each year.

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Answer:

C✔(*/ω＼*)

Step-by-step explanation:

Answer:

- 12/4

Step-by-step explanation:

3 - (-9) / (-10) + 6

3 + 9 / (-4)

12 / (-4)

- 12/4