42=−7(z−3)
solve for z
plzzz help me thxs a bunch
step by step if can thx

Answers

Answer 1

Answer:

z=-3

Step-by-step explanation:

1:open the brackets.

2:take 21 to the other side to be subtracted by 42

3:you get a -z but you can take it to the other side to get a +z but -21 divide to get the answer

Answer 2

42=-7(z-3)

-7(z-3)=42

-7z+21=42

-7z=42-21

-7z=21

therefore,

z=21\-7

that is, -21\7=-3


Related Questions

A car advertisement claims that a certain car can accelerate from rest to 70 km/hr in 7 seconds find the car acceleration

Answers

Answer:

acceleration [tex]\approx 2.78\,\,\frac{m}{s^2}[/tex]

Step-by-step explanation:

The acceleration is the change in velocity per unit of time.

Therefore to have this rate in appropriate units that can combine, we re-write the change from 0 to 70 km/h in meters per second using:

[tex]70 \frac{km}{h} = \frac{70000}{3600} \frac{m}{s}[/tex]

so in this case the acceleration becomes:

[tex]accel=\frac{change\,\,vel}{change\,\,time} =\frac{70000m}{3600\,*7\,s^2} \approx 2.78\,\,\frac{m}{s^2}[/tex]

Help.. ~Probability
7. Find the probability of choosing a red counter if a counter is chosen from a box that contains the following counters.
A. 3 red and 3 yellow
B. 3 red and 5 yellow
C. 1 red, 1 yellow and 2 blue
D. 5 red, 12 green and 7 orange
E. 10 red only
F. 6 blue and 4 green

Answers

A.

[tex]|\Omega|=6\\|A|=3\\\\P(A)=\dfrac{3}{6}=\dfrac{1}{2}[/tex]

B.

[tex]|\Omega|=8\\|A|=3\\\\P(A)=\dfrac{3}{8}[/tex]

C.

[tex]|\Omega|=4\\|A|=1\\\\P(A)=\dfrac{1}{4}[/tex]

D.

[tex]|\Omega|=24\\|A|=5\\\\P(A)=\dfrac{5}{24}[/tex]

E.

[tex]|\Omega|=10\\|A|=10\\\\P(A)=\dfrac{10}{10}=1[/tex]

F.

[tex]|\Omega|=10\\|A|=0\\\\P(A)=\dfrac{0}{10}=0[/tex]

Insert 2 rational numbers between -1/3 and -1/2

Answers

Answer:

-11/24 and -4/9

Step-by-step explanation:

A rational number is a fraction in the form a/b where both a and b are integers and b is not equal to zero.

Given the numbers -1/3 and -1/2, to place two numbers between them, we have to first find the width between the two numbers.

Width = -1/3 - (-1/2) = -1/3 + 1/2 = 1/2 - 1/3 = 1/6

Since two numbers are to be placed between -1/3 and -1/2, we have to divide the width into 3 which results to 1/6 ÷ 3 = 1/18

The first number placed is -1/3 - 1/18 = -11/24

The second number is -11/24 - 1/18 = -4/9

The Tama, Japan, monorail carries 92,700 riders

each day. If the monorail usually carries

5,150 riders per hour, how many hours does

the monorail run each day?

Answers

Answer:

The monorail runs 18 hours runs every day.

Step-by-step explanation:

You know that the total number of riders the monorail carry each day is 92700 and the number of riders the monorail carry per hour is 5150.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

A direct proportionality relationship is established between two quantities if:

The greater the quantity in one quantity, the greater the quantity in the other quantity, in the same proportion. The less quantity in the magnitude corresponds to the less quantity in the other magnitude, in the same proportion.

If the relationship between the magnitudes is direct the direct rule of three must be applied and to solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

Being

[tex]x=\frac{c*b}{a}[/tex]

In this case the rule of three can be applied in the following way: if the monorail carries 5,150 passengers in 1 hour, the monorail will transport 92,700 passengers in how many hours?

[tex]amount of hours=\frac{92,700 passengers*1hour}{5,150 passengers}[/tex]

amount of hours= 18 hours

So the monorail runs 18 hours runs every day.

A bikes shop has 11 red bikes, 3 blue bikes, 4 orange bikes, and 12 silver bikes. For every 1 orange bike, there are 3_______

Answers

Answer:

[tex]\huge\boxed{Answer=>silver}[/tex]

Step-by-step explanation:

Information given:

1. 11 red bikes

2. 3 blue bikes

3. 4 orange bikes

4. 12 silver bikes

...........................................................

For every 1 orange bike, there are 3 ______

Note: there is 4 orange bikes.

(Denominator will be 4 since 4 orange bikes)

Red: [tex]11/4[/tex]

Blue: [tex]3/4[/tex]

(Don’t include orange)

Silver: [tex]12/4[/tex] (which equals 3)

We can’t divide any of the fractions accept for silver.

So the answer is silver. Hope this helps! ✨by: RobloxYt ✨

What is the volume of the following rectangular prism?

Answers

Answer:

1/10 units ^3

Step-by-step explanation:

The formula for the volume is given by

V = Bh where B is the area of the base and h is the height

V = 3/20 units ^2 * 2/3 units

   = 3/20 * 2/3

  = 1/10 units ^3

pls help with sum geometry

Answers

YES! quite easily.

I hope you can see the two pairs of corresponding angles between the parallel lines. they'll be equal

and then there's a pair of vertically opposite angle at centre.

that means all pairs of corresponding angles are equal, thus, triangles are similar by AAA

Answer:

[tex]\Large \boxed{\mathrm{D}}[/tex]

Step-by-step explanation:

The triangles can be proven by AA or Angle-Angle similarity.

[tex]\angle QUR \cong \angle TUS[/tex]

The vertical angles are congruent.

[tex]\angle R \cong \angle S[/tex]

The alternate interior angles are congruent.

Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than the first week. Use the dot plots to choose the true statement.

Answers

Answer:

The second week had 10 more golfers than the first week.

Step-by-step explanation:

The graph clearly shows that the second week golfer are more than the first week. The median for week 2 is greater than the median of week 1. The graph of week 2 shows that number of golfers had increased and their age is between 60 to 80 years of age. The median of week 2 is 79 where as median of week 1 is 75.


A retailer allowed 4%. discount on her his
goods to make 20 %profit and sold a refrigerator
for Rs.10848 with 13%. VAT . By how much
is the discount percent to be increased so that
she lhe gained only 15 % profit ?​

Answers

Answer:

8%

Step-by-step explanation:

Let the cost price of the goods be $y. Let us assume the selling price of the goods is $x. The retailer sold at 4% discount, this means it was sold for 0.96x (100% - 4% = 96%). Since the goods was sold to make 20% profit, therefore it was sold for 1.2y (100% + 20% = 120%).

The refrigerator was sold at 13% VAT at Rs. 10848:

1.2y + 13%(1.2y) = 10848

1.2y + 0.13(1.2y) = 10848

1.2y + 0.156y = 10848

1.356y = 10848

y = 8000

The cost price is Rs 8000.

The selling price is:

0.96x = 1.2y

0.96x = 1.2(8000)

x = 10000

The selling price is Rs. 10000

For a profit of 15%, that is 1.15(8000) = 9200, the discount is:

(1 - discount)10000 = 9200

1 - discount = 0.92

Discount = 1 - 0.92 = 0.08

Discount = 8%

Calculate:
a) QR
b) PS
c) The area of quadrilateral PQRS

Answers

Greetings from Brasil...

For QR: we need to use the Sine Law in Any Triangle....

QS/SEN 72 = QR/SEN 25

6/SEN 72 = QR/SEN 25

6,3 = QR/SEN 25

QR = 2,66

For PS: we need to use the Cosine Law in Any Triangle....

PS² = PQ² + QS² - 2.PQ.QS.COS Q

PS² = 7,4² + 6² - 2.(7,4).6.COS 34

PS² = 90,76 - 73,61

PS = √17,14

PS = 4,14

For area we use Heron's Formula 2x.....

for ΔQRS = A1:

A1 = √[P.(P - QR).(P - RS).(P - QS)]

where P = (QR + RS + QS)/2

A1 = √[P.(P - QR).(P - RS).(P - QS)]

     RS = 6,26 (using RS/SEN 97 = QS/SEN 72)

P = (2,66 + 6,26 + 6)/2

P = 14,92/2 ⇒ P = 7,46

A1 = √[7,46.(7,46 - 2,66).(7,46 - 6,26).(7,46 - 6)]

A1 = 7,92

for ΔPQS = A2:

A2 = √[P.(P - PQ).(P - PS).(P - QS)]

P = (7,4 + 4,14 + 6)/2 = 8,77

A2 = √[8,77.(8,77 - 7,4).(8,77 - 4,14).(8,77 - 6)]

A2 = 12,41

Total Area = A1 + A2

Total Area = 7,92 + 12,41

Total Area = 20,33

see more:

https://brainly.com/question/17138076

What is the area of the following figure: A) 30 cm 2 B) 36 cm 2 C) 18 cm 2 D) 15 cm 2

Answers

Answer:

15 cm^2

Step-by-step explanation:

The area of the triangle is

A = 1/2 bh

A = 1/2 ( 10) * 3

   = 1/2 (30)

   = 15

Answer:

D) 15cm^2

Step-by-step explanation:

The area of the triangle is

A = 1/2 bh

A = 1/2 ( 10) * 3

  = 1/2 (30)

  = 15

find the interquartile range for the data {5, 7, 9, 5, 6, 6, 6, 11, 11, 3, 3}

Answers

Answer:

4

Step-by-step explanation:

i dont really know how to explain i used an algebra calculator

Josephine is going on a run around the lake. She knows the distance around the lake. but she would like to complete her run in a certain amount of time. Josephine knows she can used the formula d=rt Which equation correctly rearranges the formula to find the time it will take her to run around the lake? (Solve for t)

Answers

Answer:

D

Step-by-step explanation:

To solve for T in this, you need to to divide r from both sides of the equation.

d=rt

divide r

d/r=t

The correct equation is t= d/r.

The answer is option D.

How do you reorganize an equation?

Rearrange the equation in order that the unknown variable is by itself on one aspect of the equals sign (=) and all the different variables are on the opposite side. Rule 1: you could add, subtract, multiply and divide by means of something, so long as you do the identical aspect to both aspects of the equals sign.

What does it mean to rearrange a formula?

We can express an equation in phrases of the opposite variable. For example, to arrange the equation in order that it's far written as taking each time period and circulate to the opposite side of the equal sign the usage of the opposite operation till you most effective have.

Learn more about the equation here: https://brainly.com/question/1214333

#SPJ2

Jack received $300 for his 13th birthday. If he saves it in a bank account with 8% interest compounded yearly, how much money will he have in the bank by his 18th birthday?

Answers

300(1.08)^5

440.798423

If BH = 66, find DE. Round your answer to two decimal places if necessary.

Answers

Answer:

BH= 66

DE= ...?

We know that

BH is 1 to 6 = 66

DE is only take one space of that--> 3 to 4

so 66/6 = 11

1 space = 11 = DE

Hope it helps ^_^

Select the correct answer. If x and y are positive real numbers, which expression is equivalent to the expression below? (125x^4y3/2)1/3÷(xy)1/2

Answers

Answer:

5x^(5/6)

Step-by-step explanation:

we will use properties of exponents

x^a/x^b = x^(a-b)

and

x^a * x^b = x^(a+b)

___________________________________

(125x^4y3/2)1/3÷(xy)1/2\\

expanding each term by taking power for each component of expression

=>125^(1/3) x^(4/3) y(3/2*1/3) ÷ x(1/2)y(1/2)

=>5*x^(4/3) y(1/2) ÷ x(1/2)y(1/2)

using property =   x^a/x^b = x^(a-b)

=>5x^(4/3 - 1/2) y^(1/2 -1/2)

y^(0) = 1

=> 5x^((4*2-3)/3*2) *1

=> 5x^(5/6)

Thus, value of expression is 5x^(5/6)

if m+n+p=10 and mn+np+mp=27,find the value of

m square + n square + p square ​

Answers

[tex](a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc\\a^2+b^2+c^2=(a+b+c)^2-2ab-2ac-2bc\\a^2+b^2+c^2=(a+b+c)^2-2(ab+ac+bc)\\\\m^2+n^2+p^2=10^2-2\cdot 27=100-54=46[/tex]

How many planes can be drawn through any three noncollinear points?

Answers

Answer:

1 plane

I hope this helps!

Find the point-slope equation for
the line that passes through the
points (7,-21) and (-4,23). Use
the first point in your equation.
y +[? ] = [ ](x + [ ])

Answers

Answer:

y+(21)=-4(x-7)

Step-by-step explanation:

the point slope equation , two point

m=y2-y1/x2-x1

m=23+21/-4-7=44/-11= -4

y+(21)=-4(x-7)

The average age of cars owned by residents of a small city is 6 years with a standard deviation of 2.2 years. A simple random sample of 400 cars is to be selected, and the sample mean age of these cars is to be computed. We know the random variable has approximately a normal distribution because of

Answers

Answer:

The random variable [tex]\bar x[/tex] has approximately a normal distribution because of the central limit theorem.

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n ≥ 30) are selected from the population with replacement, then the sampling distribution of the sample mean will be approximately normally distributed.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

Let the random variable X be defined as the age of cars owned by residents of a small city.

It is provided that:

μ = 6 years

σ = 2.2 years

n = 400

As the sample selected is too large, i.e. n = 400 > 30, according to the central limit theorem the sampling distribution of the sample mean ([tex]\bar x[/tex]) will be approximately normally distributed.  

2% of the students at Hamilton Middle School have red hair. There are 700 students at Hamilton Middle
School
How many students at Hamilton Middle School have red hair?

Answers

Answer:

14 students

Step-by-step explanation:

We can set up a percentage proportion to find 2% of 700.

[tex]\frac{x}{700} = \frac{2}{100}[/tex], and we can use the cross products property to find the value of x.

[tex]700\cdot2=1400\\\\1400\div100=14[/tex]

Hope this helped!

Answer:

14 students

Step-by-step explanation:

If two percent of Hamilton Middle School students have red hair, it means that the number of students who have red hair is given by (0.02) * (700) =14 students.

Hikes a location 27 meters above sea level. Brain hikes to a location 21 meters below sea level. Write an integer yo represent each hiker location with respect to sea level

Answers

Answer:

The number describing its location of Melissa to the sea-level is= 27  

The number which would be the position of Brian to the sea-level is = -21

Step-by-step explanation:

The number may be negative, positive, or zero.  

Let the sea level be 0.  

They realize that the location of Melissa is 27 meters and above the sea-level, per the relevant information given throughout the exercise.

It also may assume that it's numerical representing its position becomes greater than zero throughout terms of sea-level (this means that it is positive).  

It would then be= 27  

The place of Brian is 21 m away from the sea.  

The integer of its location is less than zero (negative), as regards the amount of the sea.  

It is, therefore= -21

what are the prime numbers ​

Answers

Answer:

numbers that cannot be reduced when squared, ex: 1,3,5,

Step-by-step explanation:

These numbers factors are themselves and 1, to find if it is a prime number you can try to find the factors and if it is just itself and 1, then it is a prime number

Para la función f(x) = x + 6, ¿ cuál es
resultado de la función si x=2 ?

Answers

Answer:

f(x) = 8

Step-by-step explanation:

Como x = 2, simplemente lo sustituiría por x en la función y sumaría.

f(x) = 2+6

f(x) = 8

SOMEBODY PLS HALP ;( According to the number line, which statement MUST be true? A) A > 1 B) B > 4 C) C < 4 D) D < 0

Answers

Answer:

B

Step-by-step explanation:

B sqrtb is right in front of 2, so 2 squared is 4, so a little bit more than 2 squared will be a little more than four.

Answer:

C) C < 4

Step-by-step explanation:

because c is on the right side of four on the number line

if your ans is correct i will choose you as a brainlist when the number of student of a school was increased by 30% it became 455. Find the previous number student.

Answers

Step-by-step explanation:

find 30% of 455

which is = 136.5

then subtract 136.5 from the original number(455)

455 - 136.5

=318.5 student

Previous number student was 350

Find the slope and the y-intercept of the graph of the linear equation.
y=-7x+2
A) slope: - 1 y-intercept: 2
B) slope: 2; y-intercept: -7
C) slope: -7; y-intercept: 2
D) slope: 2; y-intercept: -7

Answers

Answer:

c) Slope;-7;y-intercept:2

Step-by-step explanation:

Numbers 1-6 please and thank you This is really hard and I really really need help. I appreciate all the help I can get.

Answers

Area of prism = base area × altitude

1. (2x²-10)(x+4)

= 3x³-2x - 40

2. Base area = 2πr

Volume = (2πr)(r²+ 5r)

=2πr³ + 10πr²

3. Base area=½(6)(x-4)(x+3)=3(x-4)(x+3)

Volume= 3(x-4)(x+3)(⅓)

=(x-4)(x+3)= x² - x -12

4. Base circumference= 10π

Base radius = 10π/(2π) = 5

Base area = πr² = 25π

Volume = 25π(3x²-2x)

=125πx²-50πx

5. Volume = 3π√50

=15π√2

6. Base diameter = 16

Base radius = 16/2 = 8

Base area = 2πr = 16π

Volume = 16π(23a²)

=368πa²


Match the graph with the correct equation. Please help!

Answers

Answer:

y = -x -2

Step-by-step explanation:

The graph has a slope of -1 and a y-intercept of -2.

The equation is therefore

y = -x -2

Please Help me 5 People can build a wall in one hour how long will it take 8 people Give the answer in Minutes

Answers

Answer:

if 5 people =1 hour. which is 60 minutes.

so 8people.52 minutes ...it wont take hours .since an hour is 60 min.

Answer:

[tex] \boxed{37.5 \: \: \: minutes}[/tex]

Step-by-step explanation:

Let's solve:

[tex] \mathsf {people \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: time( \: in \: minutes) }[/tex]

[tex] \mathsf{5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1 hour = 60 minutes}[/tex]

[tex] \mathsf{8 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x}[/tex]

Here, Let 8 people take x minutes to complete the work.

Since, the number of people and their working minutes are indirect proportional. So,

Here, the ratio of people = 5 : 8

The ratio of minutes = 60 : x

So,

[tex] \mathsf{ \frac{5}{8} = \frac{x}{60} }[/tex]

Apply cross product property

⇒[tex] \mathsf{8x = 60 \times 5}[/tex]

Multiply the numbers

⇒[tex] \mathsf{8x = 300}[/tex]

Divide both sides of the equation by 8

⇒[tex] \mathsf {\frac{8x}{8} = \frac{300}{8} }[/tex]

Calculate

⇒[tex] \mathsf{x = 37.5 \: minutes}[/tex]

Hope I helped!

Best regards!

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5/2 + 6g = 11/4 solve it A soccer ball of mass 0.4 kg is moving horizontally with a speed of 20 m/s when it is kicked by a player. The kicking force is so large that the ball flies up at an angle of 30 degrees above the ground. The player however claims (s)he aimed her/his foot at a 40 degree angle above the ground. Calculate the average kicking force magnitude and the final speed of the ball, if you are given that the foot was in contact with the ball for one hundredth of a second. Need help in the b question... Pls send it fast.. urgent and if possible do it in paper and send or just type it.. need answer for question 1. B What is the value of z for the equation fraction 1 over 2z = fraction 3 over 4 + fraction 1 over 4z? 3 1 1 3 Who is your favourite person in the Bible? 1. Find a video about the person you like most. 2. Write a short description of what that person was admired for. 3. Explain why you think that person is so great. The country of Cadmia is known around the world for the high-quality wine it produces. Consumers who do not know much about wine tend to rate the wines from Cadmia more favorably than the wines from Chile, even when independent analysis shows that Cadmian wines are actually inferior. Which of the following barries to international communication provides an explanation to this situation?A) Filter effects B) Cultural barriers C) Country of origin effects D) Pull effects E) Power distance PLEASE HELP!!!! 87 (max) POINTS. Underline the verb in the following sentences. Label eachunderlined verb as an ACT (action), LINK (linking verb), or HELP (helping verb).1. We will eat spaghetti and meatballs for dinner tonight.2. There were seven fish in the aquarium.3. The trumpet players performed well at the concert.4. Lashea and Leo had gone to the library.5. My dad built me a treehouse for my birthday6. The teacher guided us through solving the math problem.7. Vic and Lily are the quietest kids in the room.8. Sue can swim in the pool after lunch 9. That was a delicious cake 10. I had to fix the flat tire on my bike what is the role of pancreas in digestion Pavlov, the researcher who studied classical conditioning, rang a bell every time he fed his dogs. At first the dogs drool in response to the food, but eventually began to drool in response to the bell alone (with or without the food). In this example, the food is the _____________________ stimulus, and the bell is the ____________________ stimulus. A gardener has 1300 saplings. He wants to plant these in such a way that the number of columns and the number of rows remain same. Find the least number of more saplings he needs for this. Polar coordinates: which is not the same? What is the slope of the line that passes through the points (3,3) and (5,2)? Write your answer in simplest form. A student determines the value of the equilibrium constant to be 1.5297 x 107 for the following reaction: HBr(g) + 1/2 Cl2(g) --> HCl(g) +1/2 Br2(g) Based on this value of Keq, calculate the Gibbs free energy change for the reaction of 2.37 moles of HBr(g) at standard conditions at 298 K. Describe the process of action potential conduction and neurotransmission from one neuron to another, both electrically (including saltatory conduction) and chemically. Describe how a cell fires an action potential and be sure to address which structures are involved in neurotransmission. Discuss reuptake and enzymatic degradation (breakdown) in the context of the appropriate neurotransmitters. Assume that blood pressure readings are normally distributed with a mean of 117and a standard deviation of 6.4.If 64people are randomly selected, find the probability that their mean blood pressure will be less than 119.Round to four decimal places. As the leader of your newly formed 9-person team, one of your key concerns is that the team performs as a cohesive unit. Which of the following descriptions is most likely to indicate that your team is cohesive?A. There is very little conflict between team members. B. Team members prioritize the teams goals over their own goals. C. Whenever tackling a new team task, members typically divide into the same 3 subgroups. D. Team members have no problem working independently or alone. Simplify 16k/7k a) k+23 b) 9k c) 23k d) 23k^2 Bates Inc. is an enterprise comprising three parts. Its biotech section, which is working to develop crops that are pest and disease resistant, provides about half of its sales. Pharmaceuticals from its B.D. Feller subsidiary contribute a third of its revenues; and food products, dominated by the artificial sweetener NutroSweet, make up less than 15 percent of its total revenue. These three divisions represent Bates' ________. Why is 9.6 a rational number Forensic toxicologist analyze and identify drugs that are confiscated from criminalsTrue False