If two equations in a linear system have the same slope and the same -intercepts, the system will have:'
a ; infinite solutions
b ; no solution
c ; one solution
d ; two solutions

The first step in simplifying is to distribute the -b and -1 to the terms in the parentheses.

The abbreviation PEMDAS stands for parentheses, exponents, multiply or divide, add or subtract, which stands for the sequence of operations in mathematics. To achieve the right result when an expression contains many operations, it's crucial to compute them in the correct sequence (exponents after the parenthesis, etc.).

Given equation 3-b(7b+ 2) + 3b - (11 - b). As we can see that in this equation there is nothing complicated inside the bracket to simplify. so we will jump to the next step which is to distribute the -b.

Hence, in equation 3-b(7b+ 2) + 3b - (11 - b) first step in simplifying is to distribute the -b and -1 to the terms in the parentheses.

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Answer:

The answer is 14 hits!

Step-by-step explanation:

This is because of dividing 28 by 8: so you get 3.5. Use the 3.5 and times it by the amount of hits: which is 4. Then BOOM, you got yourself 14 hits!

Answer:

1)

80 = 2×2×2×2×5

2)

21 -- 11 -- 8 -- 40

21 -- 15 -- 24 -- 60

Step-by-step explanation:

80 = 2×2×2×2×5

Half Tuna white: 21

Half brown: 21

25% of 32

25/100 × 32 = 8

32-8 = 24

Total brown: (100-20)/2 = 40

Total white = 60

Cheese:

40 - 21 - 8 = 11

60 - 21 - 24 = 15

21 -- 11 -- 8 -- 40

21 -- 15 -- 24 -- 60

Answer:

A

Step-by-step explanation:

The equation must equal 50 and the 4 should be added not multiplied

Answer:

c+20=72

Step-by-step explanation:

Answer:

The weight of the brick is 60 ounce to the nearest ounce

Step-by-step explanation:

In this question, we are asked to calculate the weigh of Lou’s brick given the dimensions of the shape of the brick and the weight of the clay.

To answer this question quite aptly, we need to know exactly the volume of the rectangular prism given the dimensions we have in the question.

To calculate this volume , we simply use the measurements we have to get it.

mathematically the volume of a rectangular prism is simply V = w * h * l

where w , h and l are width, height and length respectively.

now let’s calculate!

V = 3.5 * 2.25 * 8 = 63 inches^3

Now we need to know what the brick weigh in ounce. We already have the weight of the clay. now this is equal to the volume of the brick divided by the weight of the clay.

Mathematically this is = 63/1.055 = 59.72 ounce which is 60 ounce to the nearest ounce

Answer:

60 ounce

Step-by-step explanations:

The volume of a rectangular prism is length multiplied by width and the height.

And if the width is 3.5 inches

Length is 8 inches

Height of 2.25 inches

V = 2.25 × 8 × 3.5

= 63 in³

And since the clay weighs 1.055 oz/in³,the total weight of the clay brick will be derived by dividing the volume of the brick by its weight per in³

63/1.055

= 59.7 and to the nearest whole number = 60 ounce

Answer:

It is A

Step-by-step explanation:

It will be undefined if something is divided by 0.

So if you divided 0/6, it will be 0. But if you did 6/00 it will not work because 0 is not a number.

Answer:

this question is really easy

so 20 + 27 + 34 + 41 ........ and we have to find out the 16th term so...

your answer is = 132

I hope this would help you

thank u

Answer:

1272

Step-by-step explanation:

The series can be written as (20+7*0)+(20+7*1)+...+(20+7*n).

Therefore, the sum of the first 16 terms would be as follows:

20*16 + 7*0 + 7*1 + 7*2 +...+ 7*16 = 320 + 0 + 7 + 14 + 21 +  ... + 112 = 320 + 952 =

= 1272

There are many ways to calculate the underlined bit, I'm just not showing it (on this occasion I just put it in my calculator).

Answer:

Step-by-step explanation:

The value of t must not be one that makes the denominator zero, hence must not be 8.

Answer:

(B)  median because there is an outlier

Step-by-step explanation:

The given data is as follows:

{1, 4, 9, 4, 10, 8, 42}

We can see from the given data that 42 is a data point which differ greatly from the other data points, and from the definition of OUTLIER that is a data point that differ greatly from the trend expressed by the other values in the data set.

Thus, 42 is an outlier.

Now, We have to find the center for the given data set, thus we will use the median as the definition of median states that median is the middle value of the data set.

Therefore, the best measure to find the center of the given data will be median because there is an outlier 42 present in it.

Thus, option B is correct.

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Step-by-step explanation:

Answer-

for a shape to be a square, you need to make sure that all size are equal. then you will need to see if the angels are all the same (they need to be 90 degrees). all the sides must be parallel with each other. that is what makes a shape a square. this doesn't fit will all quadrilateral shapes.

Answer:

x=16

Step-by-step explanation:

you add all the 4s from the second step and get a product of 16.

The question simplifies a power raised to a power, (5^4)^4. Whereby, the rule is to multiply the exponents. Therefore, x in our simplified expression 5^x, equals 16.

Let's simplify this (power raised to a power): (54)4.

 So, the simplified form is: 516  

Therefore, the value of x in the simplified power is 16.

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Step-by-step explanation:

Given the blueprints of a house show that a wall is 3.5 inches long.

Length of the wall = 3.5 inches

Mpa scale used in blue print is,

1.5 inches = 3 feet

Such that 1 inch = 2 feet

Length of the wall = 3.5 inches = 3.5 * 2 = 7 feet

The length of the actual wall = 7 feet

Answer:

(a) 288 students

(b) 249 students

(c) 121 students

Step-by-step explanation:

(a) 39 + 124 + 125 = 288

(b) 81 + 39 + 52 + 77 = 249

Without access to the Venn diagram, it's not possible to provide specific numerical answers. However, guidance on reading the diagram to answer these type of questions is given.

I apologize, but without the actual Venn diagram, I can't provide accurate numbers for your questions. However, I can guide you on how to read the diagram if you have it. To find the students who drink exactly two of the three drinks, you will sum the numbers in the intersections of the circles that exclusively represent two drinks. For students who don’t drink tea, count all the students who fall outside of the tea circle. Lastly, for students drinking only tea, refer to the number that lies exclusively within the tea circle and not within the circles representing coffee and soda.

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The length of KM on the quadrilateral would be 18 units .

Using the following Information from the quadrilateral;

The sides JM and KL are parallel , This means that :

The length of the diagonals of the quadrilateral would be the same .

From the question ;

JL = 18

Then ;

KM = 18

Hence, the length of KM would be ; 18 units .

Answer:

AC = 215,000 km

Step-by-step explanation:

I've attached a diagram that depicts this 3 moons and the planet in regards to their positions.

We need to find the distance AC as shown in the image.

We are given that AM and NC = 100,000 km

And diameter; MN = 15,000km

Thus,AC = MN + NC

AC = 15000 + 100,000 + 100000 = 215,000 km

Answer:

17 1/2 months or rounded up to 18

Step-by-step explanation:

so first you need to set up an equation,

lets do company Q first..

because the monthly fee is 3 bucks thats gonna be the number that goes hand in hand with x so lets put that down

Q - 3x

now we have to add our one time fee of 25 dollars

Q - 3x + 25 .. bam thats our first equation

lets do the same thing for our next company

W - x + 60

( because the fee is one dollar, theres no reason to put 1x, its not mathematically correct, so we just leave it as x )

so now we have to set up the equation together, and because we are trying to find when the two will meet and have an EQUAL cost we make them equal to each other

so

3x + 25 = x + 60

if you solve it...

2x + 25 = 60

2x + 35

x = 17.5

Answer:

you should  by 18 eggs at the second price.

Step-by-step explanation:

my reason being is that if you buy it for the second price you will get two for the price of one which will be $0.97cents.

Answer:

Answer: you should  by 18 eggs at the second price. Step-by-step explanation: my reason being is that if you buy it for the second price you will get two for the price of one which will be $0.97cents.

Step-by-step explanation:

Answer: you should  by 18 eggs at the second price. Step-by-step explanation: my reason being is that if you buy it for the second price you will get two for the price of one which will be $0.97cents.

Question;

Assumption:

Let us assume Brandon's running speed is = 18.30 and

Ruben's running speed is = 16.50 and

Answer:

The two equations that can represent the relationship between the meters and second for Brandon and Ruben are;

Brandon → Y₁ = 18.3·X₁ and

Ruben → Y₂ = 16.5·X₂

Step-by-step explanation:

The equation is of the form

Y = 17.45·X

That is Amy ran Y meters in X seconds

Therefore we have

[tex]17.45 = \frac{Y}{X}[/tex] or the value 17.45 is the running speed of Amy

Therefore, where the running speed of Brandon is 18.30  and the running speed of Ruben is 16.50  we have

Y meters ran by Brandon in X seconds given by

Y₁ = 18.3·X₁ and

For Ruben we have Y meters ran in X seconds given by

Y₂ = 16.5·X₂.

Answer:

Brandon : Y = BX, where B is the speed (positive integer) and X is the time in seconds.

Ruben : Y = RX, where R is the speed (positive integer) and X is the time in seconds.

Step-by-step explanation:

For Amy, the relationship between the distance run and the time taken is represented by the equation Y equals 17.45X, where she ran Y meters in X seconds.

Therefore we have,

Y = 17.45X

Y/X = 17.45 m/s, where m/s is meter per second.

Let us assume that the speed for Brandon is represented by B and that of Ruben is represented by R.

For Brandon, we obtain Y/X = B m/s

Y = BX

For Ruben, we obtain Y/X = R m/s

Y = RX

High School Mathematics 5+3 pts

The relationship between the distance run and the time for Amy can be represented by the equation Y equals 17.45X, where she ran Y meters in X seconds.

Should be 5,100 from the information that is given.

Answer: 5,100 meters

Answer:

C. 12/30

Step-by-step explanation: 2/5 for every 5 days and there are 30 days in September so there is already 2/5 so 5 days are already in place so add 2 to the 2/5 and 5 to the 2/5 on their corresponding numbers until the five reaches thirty then the 2 will reach 12. Happy to Help.

When you write URGENT the Brainly cops think you may be taking a test.

y = ax² + c thru (-1,4) and (0,8)

Substituting in the coordinates of each point for x and y gives two equations:

4 = a  (-1)² + c

8 = a (0²) + c = c

From the second one we see c=8.  Substituting into the first one,

4= a + 8

a = 4-8 = -4

Answer: a=-4, c=8

Check:

f(x) = -4x² + 8

f(0) = 8, good

f(-1) = -4(1) + 8 = 4, good

Final answer:

To find the values of a and c for the parabola through points (-1, 4) and (0, 8), we substitute these points into the equation y = ax² + c. This gives us two equations, and by solving them, we find that a = -4 and c = 8.

Explanation:

To find the values of a and c for the parabola y = ax² + c that passes through the points (-1, 4) and (0, 8), we can use these points to set up two equations:

1. For the point (-1, 4), substituting into the equation y = ax² + c, we get: 4 = a(-1)² + c 4 = a + c

2. For the point (0, 8), substituting into the equation y = ax² + c, we get: 8 = a(0)² + c 8 = c

From the second equation, we can see that c = 8. Using this information in the first equation, we substitute c to find a: 4 = a + 8 -4 = a

Therefore, the values for the parabola that passes through the given points are a = -4 and c = 8.

Answer:

1 drink/$1.50

Step-by-step explanation:

you have to find the cost of each drink by dividing the money raised by the number of drinks sold

223.50/149=

1.50

Answer:

Step-by-step explanation:

Find the unit cost:

 $223.50

------------------ = $1.50/drink

 149 drinks

Then y = revenue from sales of drinks = ($1.50/drink)(number of drinks).

The constant of proportionality is $1.50/drink.

Answer:

a)   0.71

b)   0.9863

Step-by-step explanation:

a. Given the mean prices of a house is $403,000 and the standard deviation is $278,000

-The probability the probability that the selected house is valued at less than $500,000 is obtained by summing the frequencies of prices below $500,000:

[tex]P(X<500,000)=P(X=0)+P(X=500)\\\\=0.34+0.37\\\\=0.71[/tex]

Hence, the probability of a house price below $500,000 is 0.71

b. -Let X be the mean price of a randomly selected house.

-Since the sample size 40 is greater than 30, we assume normal distribution.

-The probability can therefore be calculated as follows:

[tex]P(X<x)=P(z<\frac{\bar X-\mu}{\sigma/\sqrt{n}})\\\\P(X<500,000)=P(z<\frac{500-403}{278/\sqrt{40}})\\\\=P(z<2.2068)\\\\\\=0.9863[/tex]

Thus, the probability  that the mean value of the 40 houses is less than $500,000 is 0.9863

Answer:

Interest: $390 | Total: $715

Step-by-step explanation:

To answer the first question, we can use the simple interest formula provided:

[tex]I=Prt[/tex]

P = initial balance

r = annual interest rate

t = time

First, change 8% into the decimal form:

8% -> [tex]\frac{8}{100}[/tex] -> 0.08

Now, plug in the values:

[tex]I=325(0.08)(15)[/tex]

[tex]I=390[/tex]

Charlie made $390 of interest. To find the total, just add that number to $325.

[tex]390+325=715[/tex]

Charlie's total money made was $715.

Final answer:

Charlie earns $390 in simple interest over 15 years. The total future amount, including the initial investment, is $715 after 15 years.

Explanation:

To determine how much interest Charlie's initial investment will earn over the 15-year period, we apply the simple interest formula, I = P rt, where I stands for interest, P is the principal amount, r is the rate of interest per year, and t is the time in years. Plugging in Charlie's investment details: I = $325(0.08)(15).

First, calculate the annual interest: $325  imes 0.08 = $26 per year. Then, multiply the annual interest by the number of years: $26  imes 15 = $390.

Therefore, the total simple interest earned over the 15-year period is $390.

To calculate the total future amount, add the interest earned to the initial investment: Total future amount = Principal amount + Interest = $325 + $390 = $715.

After 15 years, Charlie will have $715 in his account.

Answer: e) 6

Step-by-step explanation:

Let x be mother + children = 18

Father's age = 38

Average age of the family = 14

38 + 18x /( x + 1 )= 14

Opening the bracket

38 + 18x = 14x + 14

Collecting like terms

24 = 4x

x = 6

no of children in the family is 6.

Gracie needs 2 cups of flour to make 2 batches of muffins as each batch requires 1 cup of flour.

The subject of this question is Mathematics as it involves multiplication of fractions to find the total amount of flour needed. As the question states, Gracie is making 2 batches of muffins and each batch needs 1 cup of flour.

To find the total amount of flour, we simply multiply the number of batches by the amount of flour per batch. In this case, that's 2 (batches) * 1 (cup of flour per batch). Therefore, Gracie needs 2 cups of flour to make 2 batches of muffins.

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In the process of making muffins, if one batch requires 1 cup of flour, then two batches would require 2 cups of flour.

The question is asking about how much flour Gracie requires to bake 2 batches of muffins when one batch requires 1 cup of flour. This is a question about proportionality. If one batch of muffins needs 1 cup of flour, then 2 batches of muffins will require 2 cups of flour. This is because the amount of flour Gracie needs is directly proportional to the number of batches she bakes.

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Answer:B is the Answer

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Total letters in word 'COUNTING'=8

Number of vowels in word 'COUNTING'=3(O,U,I)

Total letter in word 'PRIME'=5

Number of consonants in word 'PRIME'=3(P,R,M)

We have to find the total number of outcomes.

Number of choice for O=3(P,R,M)

Number of choice for U=3(P,R,M)

Number of choice for i=3(P,R,M)

Number of outcomes of choosing a vowel from the word 'COUNTING' and a consonant from the word 'PRIME'=3+3+3

Total number of outcome=9

Answer:

27π

Step-by-step explanation:

trust me, it's right lol