-4(z-12)=42 how can I solve?

Answers

Answer 1
remember, you can do anything to an equation as long as you do it to both sides

-4(z-12)=42
you can distribute but it's easier to divide both sides by -4
z-12=-10.5
add 12 both sides
z=22.5
Answer 2
-4(z-12) = 42
First, we will get rid of the brackets by multiplying each term within the brackets by -4 as follows:
-4(z) - -4(12) = 42
-4z + 48 = 42
Then, we will isolate the term with the variable. To do so,we will simply subtract 48 from both sides as follows:
-4z+48-48 = 42-48
-4z = -6
Finally,we will get rid of the coefficient next to the variable by dividing both sides by -4.
The final result will thus be:
z = 3/2

Related Questions

Is this increasing decreasing or constant F(x)=3x

Answers

hello : 
this increasing function  F(x)=3x because : the slope 3
is positif

helppppppppppppp maTHHHH
evaluate this piecewise function at x=-4 and x=4

Answers

If x=-4, that means that since we have x² at x≤-4, it encompasses -4 (due to the line at the bottom). (-4)²=16. For 4, since 4>1 and it's √x if x is over 1, √4=2

When maggie applies the brakes of her car, the car slows uniformly from 15.0 m/s to 0 m/s in 2.50 s. how many meters before a stop sign must she apply her brakes in order to stop at the sign?

Answers

In this question, we can determine Maggie car initial speed (15m/s), final speed(0m/s) and the time her car moves (2.5s). Then to calculate the distance she travels, we need to multiply the average speed with time. The equation would be:

Distance traveled= (initial speed+final speed)/2 x time
Distance traveled= (0m/s + 15m/s)/2 x 2.5 second= 7.5m/s x 2.5s= 18.75m

Standard deduction on federal income tax return for head of the household is $8350. hilda, a single mom of two, paid $6780 in state income tax and $1230 in mortgage interest last year. how should she file her taxes?

Answers

The answer is Claiming standard deduction

Answer:

Hilda can file her taxes by claiming standard deduction.

Step-by-step explanation:

Standard deduction is that amount of someone's income, for which tax is not to be paid, thus reducing the tax bill amount. The amount of the standard deduction is based on one's filing status, age, disability, dependency etc.

Here in this scenario, Hilda can claim standard deductions.

What is the perimeter of a rectangular garden with a width of 24 feet and a diagonal of 40 feet?

Answers

Drawing it out, as seen, using the Pythagorean theorem we get that w^2+l^2 (with w=width and l=length)=diagonal^2=24^2+l^2=40^2. Subtracting 24^2 from both sides, we get 40^2-24^2=l^2=1024. Square rooting both sides, we get l=32. Since the perimeter is 2w+2l, we get 32*2+24*2=64+48=112

how many thousands go into 90 hundreds

Answers

90 hundreds = 90 * 100 = 9000

9000 = 9 thousands

How many times does 15000 go in to 3000000?

Answers

Answer It goes 200 times

To determine how many times 15000 goes into 3000000, divide 3000000 by 15000. The answer is 200.

To find out how many times 15000 goes into 3000000, we need to perform a simple division.

We divide 3000000 by 15000:

3000000 ÷ 15000 = 200

Thus, 15000 goes into 3000000- 200 times.

One less than twice a number is greater than 7 and less than 13. Write a compound inequality to represent this and solve to find the solution set.

Answers

Write the equation as such and narrow down x value being 4
7<2x-1<13
4<x<7
This is the answer hopefully.

N the ideal normal curve, 95% of the population falls within _____ standard deviation(s) of the mean. a. one b. two c. three d. four

Answers

95% of the population falls within two standard deviations of the mean.

why?????

because of this chart

The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times the first. What are the numbers?

Which three expressions could be used to represent the numbers?

Answers

1st number = x

2nd number = x-4

 3rd number = 4x

now you have x + x-4 +4x = 62

combine like terms

6x-4 = 62

add 4 to each side

6x = 66

divide both sides by 6

x = 66/6 = 11

1st number = 11

 2nd number = 11-4 = 7

 3rd number = 4*11 = 44

11+7+44 = 62

Which expression is equal to 2√ -32 ? 8i√2 −8√2 8√2i −8i√2





the first one is the answer

Answers

The square root of (a * b) is equal to (the square root of a) * (the square root of b) -32 equals 32 * -1; therefore, the square root of -32 equals the square root of 32 times the square root of -1. 32 equals 16 * 2; the square root of 32 equals ? 16 * ?2 equals 4* ?2 The square root of -1 is i. Therefore (2? -32) equals 2 * 4 * i * ?2 = 8i?2

Final answer:

The expression 2√ -32 is equal to 8i√2

Explanation:

To find an expression equal to 2√ -32, we need to recall that the square root of a negative number involves an imaginary unit i. The square root of -1 is defined as i. Thus, we can rewrite the expression as:

2√ -32 = 2√(-1 × 32) = 2√(-1)√(32) = 2i√(16 × 2) = 2i × 4√2 = 8i√2.

which is found by using the property that the square root of -1 is the imaginary unit i.

This demonstrates that the correct expression equivalent to the original one is 8i√2.

how far will a bus travel if it averages a sped of 65 km/h for 7 hours?

Answers

 the bus travles
65x7=455 km 

The bus will go 455 km far if it averages a speed of 65 km/h for 7 hours the answer is 455 km.

What is the distance?

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

It is given that:

The speed of the bus = 65 km/h

The time taken = 7 hours

As we know,

The formula for finding the distance is given:

Distance = time×speed

Distance = 7x65

Distance = 455 km

Thus, the bus will go 455 km far if it averages a speed of 65 km/h for 7 hours the answer is 455 km.

Learn more about the distance here:

brainly.com/question/26711747

#SPJ2

Simplify 3^5/3^2.
I do have a basic understanding but I need help on this.

Answers

The answer is:  " 27 " .
__________________________________________

3⁵ / 3² = 3⁽⁵⁻²⁾ = 3³ = 3 * 3 * 3 = 9 * 3 = 27 .
__________________________________________
-Edit -- Note the following property of exponents :  "quotient rule" of exponents:
_____________________________________________
Given that "a" and "b" are positive integers; and that "x" is a real number greater than "zero"; 
____________________________________________
  If a ≥ b ,  then:

   xᵃ /xᵇ = x⁽ᵃ ⁻ ᵇ⁾ ;
____________________________________________
If a < b , then:

xᵃ /xᵇ = x⁽ᵇ ⁻ ᵃ⁾
____________________________________________ 

Anyone wanna help teach me how to do any of this or just give me the answers if you don't wanna teach me

Answers

just replace the value in the appropriate equation:

a) says f(-2)

 so use the f equation above it and replace x with -2

f(x) = 3x-5 becomes f(-2) = 3x-5 =

3(-2)-5 = -6-5 = -11


 for b use the equation for h and replace x with -5

so x^2 - 6 = -5^2 - 6 = -31


 for c use the equation for g and replace x with (a+b)

-7x+3 =

-7(a+b)+3 = -7a-7b+3


A home file is the place where you should keep financial records that you may need to access regularly? True or False

Answers

true! we have an excel file called moneydoc.xls
The answer is TRUE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

How to do this exponent and simply and having positive exponents

Answers

(x^-2 x^-3)^4
= (x^-5)^4
= x^-20
= 1 / x^20
Final answer:

To multiply exponentials, multiply the base numbers and add exponents. Adjust the format to have one digit before the decimal, if necessary. To divide, divide the base numbers and subtract the exponents.

Explanation:

To deal with the multiplication of exponentials, simply multiply the base numbers (digits) as you normally would, and then add the exponents. Remember to keep the result in the acceptable form, meaning that for a number like 2.4×10⁴, there should be only one digit to the left of the decimal point. To handle negative exponents, add them as usual, and adjust the exponent to maintain a positive value. For dividing exponentials, you divide the base numbers and subtract the exponents.

Here's a step-by-step example for multiplication: Suppose you have 5.1×10³ and 4.2×10⁴. You multiply the base numbers to get 21.42, and then add the exponents (3+4) to get 7, which gives you 21.42×10⁷. To adjust the number to proper form, you would change it to 2.142×10⁸. For squaring an exponential like 3×10², you'd square the 3 to get 9 and multiply the exponent by 2 to get 4, leading to 9×10⁴.

When squaring exponential terms, square the digit term and multiply the exponent by 2. For instance, (2×10²)² equals 4×10⁴. And remember, any number to the power of zero equals one, as 0 exponent implies no multiplication of the base number, leaving us with the implicit base of multiplication which is 1.

Simplify the following expression 5^2-4/5+2

Answers

Final answer:

To simplify the expression 5^2-4/5+2, we first simplify the exponent, divide 4 by 5, and add the results together to get 129/5 or 25.8.

Explanation:

To simplify the expression 5^2-4/5+2, we need to follow the order of operations which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

Using PEMDAS, we first simplify the exponent, so 5^2 = 5 x 5 = 25.

Next, we divide 4 by 5 to get 4/5.

Finally, we add 25 and 4/5 which can be written as 25 + 4/5. To add these two fractions, we need a common denominator which is 5. Converting 25 into a fraction with a denominator of 5 gives us 125/5. Adding 125/5 and 4/5 gives a result of 129/5. Therefore, the simplified expression is 129/5 or 25.8.

Use the distributive property to simplify the expression. 8(3x + 4)

Answers

Answer:

24x + 32

Step-by-step explanation:


Answer:

24x+32

Step-by-step explanation:

trust



The function c = 2.50(n – 2) + 4.50 represents the cost c in dollars of printing n invitations. Which of the following is not true?



A/Each invitation costs $4.50 to print.


B/The cost depends on the number of invitations printed.


C/For each additional invitation, it costs an extra $2.50 to print.


D/One cannot print just one invitation.

Answers

The equation c = 2.50(n - 2) + 4.50 represents the cost of printing n invitations, with $4.50 being a fixed cost and $2.50 as the additional cost per invitation after the first two. Thus, the statement that A. each invitation costs $4.50 to print is not true.

The function in question, c = 2.50(n – 2) + 4.50, represents the total cost c of printing n invitations. To determine which of the provided statements is not true, we can analyze the components of the equation:

4.50 is a fixed cost, indicating a base charge that is applied regardless of the number of invitations printed.The term 2.50(n – 2) shows that each additional invitation, beyond the first two, incurs a variable cost of $2.50.

Analyzing the provided options:

Each invitation costs $4.50 to print. This statement is false, as the $4.50 in the equation is a fixed cost and not reflective of the individual cost per invitation.The cost depends on the number of invitations printed. This is true as the cost increases with each additional invitation after the first two.For each additional invitation, it costs an extra $2.50 to print. This is true given the variable cost component of the equation.One cannot print just one invitation. There is nothing in the equation that inherently prevents printing one invitation, so this statement is true.

Therefore, the answer to the student's question is option A: Each invitation costs $4.50 to print is not true.

Devon’s price is a high school teacher and soccer coach his annual salary is 37,440 What is his Biweekly salary

Answers

Your annual salary is the total salary you earn during a year. 1. Devon Price is a high schoolteacher and soccer coach. His annual salary is $37,440.
Biweekly is every 2 weeks. Take the annual salary of $37,440 and divide it by the number of weeks in a year. $37,440 divided by 52 weeks and his weekly salary is $720. Now multiple his weekly salary of $720 by 2, which equals $1440.

Biweekly salary: $1440

complete the next three terms in the pattern below

Answers

look for an addition/subtraction or multiplication/division patterns between numbers in the sequence.

1, 4, 9, 16, ...
if you look at what you add to get to the next number.

+3, +5, +7, ...
the pattern is adding consecutive odd numbers

16+9 = 25
25+11 = 36
36+13 = 49

1, 4, 9, 16, 25, 36, 49, ...

is 8π rational or irrational number?

Answers

irrational i assume

Hanks pickup can travel 52 miles on 4 gallons of gas. How many gallons will habh pickup need to travel 26 miles?

Answers

Final answer:

To determine how many gallons Hanks' pickup will need to travel 26 miles, a proportional relationship was used based on the known mileage of traveling 52 miles on 4 gallons. The calculation revealed that 2 gallons of gas will be needed for the 26-mile journey.

Explanation:

The student's question about fuel consumption can be solved using a simple proportional relationship. Since Hanks' pickup can travel 52 miles on 4 gallons of gas, we can find out how many gallons will be necessary to travel half of that distance, which is 26 miles. By setting up a proportion, we can find the answer.

Steps to solve the problem:

Identify the known relationship between distance and gallons of gas: 52 miles = 4 gallons.Set up a proportion to find out how many gallons are needed for 26 miles, knowing that the relationship should remain constant: (52 miles / 4 gallons) = (26 miles / x gallons).Solve for x by cross multiplying: 52x = 4 * 26.Calculate the value of x: x = (4 * 26) / 52.Simplify to find the number of gallons needed: x = 2 gallons.

Therefore, Hanks' pickup will need 2 gallons of gas to travel 26 miles.

Final answer:

The pickup truck will need 2 gallons of gas to travel 26 miles.

Explanation:

To find out how many gallons the pickup will need to travel 26 miles, we can set up a proportion using the given information.

Since the pickup can travel 52 miles on 4 gallons of gas, the rate of miles per gallon is 52 miles/4 gallons = 13 miles/gallon.

Using this rate, we can set up the proportion: 13 miles/gallon = 26 miles/x gallons. Solving for x, we can cross multiply and divide: 13x = 26 * 1, x = 26/13 = 2.

Therefore, the truck will need 2 gallons of gas to travel 26 miles.

Determine the x- and y-intercepts of the graph of y=−12x−4 . Then plot the intercepts to graph the equation.

Answers

x-intercept: -0.3
y-intercept: -4
slope -12

Answer:

X-Intercept: [tex]\frac{4}{-12}[/tex]

Y-Intercept: -4

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

The X and Y intercepts show at what points the function values cross the X and Y axis. We can solve for the X-intercept by substituting the value of y for 0 and then solving for x. Like so...

[tex]0=-12x-4[/tex] .... add 4 on both sides

[tex]4=-12x[/tex] ... divide both sides by -12

[tex]\frac{4}{-12}[/tex] = -x

Now we can see that the X-Intercept is [tex]\frac{4}{-12}[/tex] . Now we substitute 0 for x and solve for the Y-intercept.

[tex]y=-12(0)-4[/tex]

[tex]y= -4[/tex]

Finally we can see that the Y-intercept is -4

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

What is the quotient of (7^-1/7^-2)?

Answers

(7^-1/7^-2) = 7^(-1 + 2) = 7^1 = 7

hope it helps

Answer:

7^1 = 7

Step-by-step explanation:

we need to find quotient of [tex]\frac{7^-1}{7^-2}[/tex]

The exponents are in division

When the base of exponents are same and  exponents are in division then we subtract the exponents

We apply the property [tex]\frac{a^m}{a^n} = a^{m-n}[/tex]

[tex]\frac{7^-1}{7^-2}=7^{-1-(-2)}=7^{-1+2}=7^1=7[/tex]

three times the square of a non-zero number is equal to fifteen times the number.. what is the number?

Answers

3 * (x^2) = 15x
3x^2 -15x = 0
x= - -15 +- sq root (225 -4*3*0) / 2*3
x = [15 +-sq root (225 -4*3*0] / 6
x1 = [15 +15] / 6
x1 = 5

x2 = [15 -15] / 6
x2 = 0

The number is 5

Check
3 * 5^2 = 15 * 5
75 = 75



A stuntwoman jumps from a building 73ft high and lands on an air bag that is 9ft tall. Her height above ground h in feet can be modeled by h (t) = 73 – 16 t^2, where t is the time in seconds.
a. How many seconds will the stuntwoman fall before touching the air bag? (Hint: Find the time t when the stuntwoman’s height above ground is 9 ft.)

Answers

Take the equation   h (t) = 73 – 16 t^2 and plugin 9 for h(t) and then solve for t like the following:

9 = 73 - 16 t^2
9 - 73 = 73-73 - 16t^2
-64 = -16t^2
-64 / -16 = -16t^2 / -16
4 = t^2
Now square both sides of 4 = t^2
[tex]\sqrt{4} = \sqrt{t^2}[/tex]
2 = t
t = 2
Answer = 2 seconds 

Find the lowest common denominator of and . A. (p + 2) B. (p + 5)(p + 3) C. (p + 5)(p + 2)(p + 3) D. (p + 2)2

Answers

The lowest (or least) common denominator also written as LCD is the smallest of all the possible common denominators, where the denominator is the bottom number in a fraction.
We should find the lowest common denominator of (p+3)/(p^2+7p+10) and (p+5)/(p^2+5p+6). 
p^2+7p+10 can be written as a product: (p+5)(p+2)
p^2+5p+6 can be written as a product: (p+3)(p+2)
So, we should find the LCD for (p+5)(p+2) and (p+3)(p+2). The smallest possible number that can be divided with both of them is:(p + 5)(p + 2)(p + 3) 
Solution C.

An angle is a right angle if and only if the measure of the angle is 90°. True or false?

Answers

The answer is True. it is a right angle if it is 90°.
The answer to this question is TRUE!

If you are dealt 4 cards from a shuffled deck of 52​ cards, find the probability that all 4 cards are diamonds

Answers

Probability=13/52*12/51*11/50*10/49=11/4165
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