7 bags of red grapes cost $27.09
4 bags of green grapes cost
$14.96. Which type of grape is
more expensive?

The equation that could be used to determine, m, is 4m = 18.2 - 5

The average number of miles (m) is 3.3 miles to ride each day to meet her goal.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Total distance of ride Alisha wants by her bicycle (d) = 18.2 miles.

And, She has already ridden 5 miles.

She rides for 4 more days.

Now, Let the average number of miles = m

She has already ridden 5 miles.

And, She rides for 4 more days.

The number of miles she needs to ride more is

18.2 miles  - 5 miles

= 13.2 miles

If m is the average number of miles she must cycle in 4 days to reach her objective,

Hence, we can formulate;

4m = 13.2

Divide both side by 4,

m = 3.3 miles

So, The equation that could be used to determine, m, is 4m = 18.2 - 5

The average number of miles is 3.3 to ride each day to meet her goal.

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Answer:

The answer is D. 55%

40% cashews in 15 ounces = 40/100 × 15 = 600/100 = 6 ounces of cashew

60% cashew in 45 ounces = 60/100 × 45 = 2700/100 = 27 ounce of cashew

total weight of the mixed nuts = 15 + 45 = 60 ounces

total weight of cashew = 27 + 6 = 33 ounces

% of cashew in the 60 ounce bag = 33/60 × 100 = 3300/60 = 55%

Answer:

26

Step-by-step explanation:

h=21+5

h=26

The value of h will be 26, when p =7.

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e. a and b respectively, are not equal to zero.

The method  in which, the value of one variable from one equation is substituted in the other equation. So that, a pair of the linear equation gets transformed into one linear equation with only one variable, which can then easily be solved. This method is called substitution method.

According to the given question we have

A linear equation in two variable

h = 3p + 5

So, the value of h when p = 7

Substitute, p = 7  in h = 3p + 5

⇒ h = (3 × 7) + 5

⇒ h = 21 + 5

⇒ h = 26

Hence, the value of h will be 26, when p =7.

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Step-by-step explanation:

a= c-b pls let me know if it is correct or not

Answer:

Step-by-step explanation:

In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."

The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:

Introduction to Variables and Expressions:

Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.

Solving One-Step Equations:

Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.

Solving Two-Step Equations:

Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.

Writing and Graphing Linear Equations:

Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.

Systems of Linear Equations:

Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.

Word Problems and Applications:

Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.

The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.

By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.

Answer:

y=2x-1

Step-by-step explanation:

The y-intercept is -1

The slope is 2

The Answer is:

an = -15 + 9(n - 1)

Answer:

22.75

Step-by-step explanation:

5.6 divided by 0.8=Constant Variation=7

3.25*7=22.75

The price of the 3.25 lb peaches is $22.75.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Bob paid $5.60 for 0.8 lb of fresh peaches. The price of the 3.25 lb peaches will be calculated as,

0.8 lb of peaches ⇒ $5.60

1 lb of peach ⇒ $5.60 / 0.8

3.25 lb of peaches ⇒ (3.25 x $5.60 ) / 0.8

3.25 lb of peaches ⇒ $22.75

Therefore, the price of the 3.25 lb peaches is $22.75.

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Terrance’s error is that he limits the solution of the equation to one ordered pair

The equation is given as

y - 4 = 1/2(x - 5)

The solution is given as

(5, 4)

The above solution is true

This is so because; when x = 5, the value of y is 4

i.e.

y - 4 = 1/2(5 - 5)

y - 4 = 0

y = 4

Next, we set x to another value (say x = 9)

So, we have

y - 4 = 1/2(5 - 9)

y - 4 = -2

y = 6

This means that the equation can have another solution

In this case, it is (9, 6)

Hence, one ordered pair cannot be the solution to the equation

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Answer:

x = -50

Step-by-step explanation:

Let's solve your equation step-by-step.

x/10=−5

Step 1: Simplify both sides of the equation.

1/10x=−5

Step 2: Multiply both sides by 10.

10*(1/10x)=(10)*(−5)

x=−50

Answer:

9: tens place

4: tenths place

Step-by-step explanation:

The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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The new price of the item is equivalent to $3.25.

Given is that the price of an item has been reduced by 95%. The original price was $65

Assume the new price to be $[x]. So, we can write -

x = 65 - {95% of 65}

x = 65 - {(95/100) x 65}

x = 65 - {6175/100}

x = 65 - 61.75

x = 3.25

Therefore, the new price of the item is equivalent to $3.25.

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Answer:

1.32km (answer might differ slightly due to different values of speed of sound, in the range of 320 to 340 ms-1)

Step-by-step explanation:

Speed of lightning = 3 x 10^8 m/s (same as speed of light)

Speed of sound = 330 m/s (most common answer for speed of sound)

Let the time taken for lightning be T seconds

Time taken for thunder to reach her = (T + 4) seconds

Hence, an equation can be formed

Distance between lightning and her = Distance between thunder and her

Distance = Speed x Time

T(3x 10^8) = (T+4)(330)

((3 x 10^8) - 330)T = 4(330)

Solving, T = 4.40 x 10^-6

Hence,

Distance from storm = (4.40 x 10^-6)(3 x 10^8) metres

                                  = 1320m

                                   = 1.32 km

Answer:

0.8 miles(as kilometers 1.28748)

Step-by-step explanation:

You have 4 seconds and then you divide by 5 and then you get 0.8 miles turn that into kilometers and you get 1.28748.

There is insufficient information so the joint probability mass function of X and Y.

given that

there are three bowls they are a red bowl , a green bowl and a blue bowl  are on the kitchen table

alan places one egg into a randomly selected bowl.

X = # of eggs placed into the red bowl

Y = # of empty bowls at the end of the experiment.

the joint probability mass function of X and Y

1. Not sufficient

R=5

let us consider when G = 2 , B = 1 => P(G) = 2/8

when G=1, B=2 => P(G) = 1/8

2. Not Sufficient

P(B) = 1/3 = x/3x

But this doesn't tell us anything about B or total because P(B) = 1/3 , but it could also be 2/6 or 3/9 so on..

So we can have different B . Thus we can have different G combinations.

Together - Not Sufficient

P(B) = x/(3x) , R = 5

P(G) = 1- P( not G )

= 1- P(R or B)

But we cannot calculate this with out knowing P(R) and P(B).

we cannot solve this problem because there is no proper information is given.

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Answer:

16 slices

Step-by-step explanation:

Given :

Number of pizzas ordered = 4

Number of slices per pizza = 4

If 4 pizzas are each sliced into 4 parts ; the we have :

Pizza 1 = 4 slices

Pizza 2 = 4 slices

Pizza 3 = 4 slices

Pizza 4 = 4 slices

Total slices = (4 +4 +4 +4) = 16 slices

An angle is produced at the point where two or more lines meet. Thus the value of LP required in the question is approximately 14.

Two lines are said to be perpendicular when a measure of the angle between them is a right angle. While parallel lines are lines that do not meet even when extended to infinity.

From the question, let the length of LP be represented by x.

Thus, from the given question, it can be deduced that;

LM ≅ PN = 20

KP = KN - PN

    = 30 - 20

KP = 10

LP = x

Also,

<MLP is a right angle, so that;

< KLP = < KLM - <PLM

         = 126 - 90

<KLP = \(36^{o}\)

So that applying the Pythagoras theorem to triangle KLP, we have;

Tan θ = \(\frac{opposite}{adjacent}\)

Tan 36 = \(\frac{10}{x}\)

x = \(\frac{10}{Tan 36}\)

  = \(\frac{10}{0.7265}\)

x = 13.765

Therefore the side LP ≅ 14.

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Answer:

the answer is C. ............

Answer:

25.

Step-by-step explanation:

1. if according to the condition 'm∠2 is three times m∠1', then it is possible to write: 3m∠1=m∠2, then

2. if according  to  the condition m∠WXZ=m∠1+m∠2, then it is possible to write it as:

m∠WXZ=m∠1+3m∠1; ⇔m∠WXZ=4*m∠1;

3. if according to the condition m∠WXZ=100, then

100°=4*m∠1, then

m∠1=100°:4=25°.

Answer:

m∠a = 110°

m∠b = 110°

m∠c = 70°

m∠d = 70°

m∠i = 110°

m∠h = 110°

m∠j = 70°

m∠g = 110°

m∠f = 70°

m∠e = 70°

m∠k = 57°

m∠m = 70°

m∠l = 167°

Step-by-step explanation:

Let the measure of the yellow angle = 110°

Therefore;

m∠a = 110°  by vertically opposite angles

m∠b = m∠a = 110° by opposite interior angles of a parallelogram

m∠c = 180° - 110° = 70° by same side interior angles

m∠d = m∠c = 70° by opposite interior angles of a parallelogram

m∠i and m∠c are supplementary angles, therefore, m∠i = 110°

m∠h = m∠i = 110° by vertically opposite angles

m∠j = m∠c = 70° by vertically opposite angles

m∠g and m∠d are supplementary angles, therefore, m∠g = 110°

m∠f = m∠d = 70° by alternate interior angles

m∠f = m∠e = 70° by vertically opposite angles

m∠k = 180° - (m∠h + 13°) = 180° - (110° + 13°) = 57°

m∠b and m∠m are supplementary angles, therefore, m∠m = 70°

m∠l and 13° are supplementary angles, therefore, m∠l = 167°

The probabilities are given as follows:

3. P(rides bus|owns a car) = 1/3.

4. P(red|organic) = 3/5.

The probability of an event in an experiment is obtained as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.

For item 3, the outcomes are given as follows:

Hence the probability is:

P(rides bus|owns a car) = 8/24 = 1/3.

For item 4, the outcomes are given as follows:

The error was in identifying the total outcomes, and the probability is:

P(red|organic) = 18/30 = 3/5.

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Answer:\(x 6\)

Step-by-step explanation: Im not to good at math but hope that hlps

Answer:

x^x

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

g(2)= 5-9(2)

= -13

f(g(2))= 5+3(-13)

= -34

Answer:

g(2) = -13

f(g(2)) = -34

Explanation:

For g(2), just substitute 2 in for the x, multiply, and simplify.

g(x) = 5-9(x)

g(2) = 5-9(2) = 5-18 = -13

For f(g(2)), substitute this output in for x, multiply, and simplify.

f(x) = 5 + 3(x)

f(g(2)) = 5 + 3(g(2)) = 5 + 3(-13) = 5-39 = -34

Answer:

6 hours

Step-by-step explanation:

5 multiplied by what equals 15? 3 because 5x3=15. Now what you do to that number you also have to do to the other. So 2x3. It equals 6 so it'll take you 6 hours to do 15 chores.

Answer:

17,000 meters

Step-by-step explanation:

1 kilometer = 1000 meters

Answer:

a) x=0, x=1

b)x=0, x=4/3

Step-by-step explanation:

I didnt use the graph, just used algebra. For part a, you can find the answers using the graph by looking at the value of x when y = whatever value they give.

A)

3x²-3x+2=2

3x²-3x+0

x(3x-3)=0

For the product of two things to equal zero, one of them has to be zero. For example, if ab=0, then either a or b (or both) are zero.

Therefore..

x=0

or 3x-3=0, ∴x=1

b)

3x²-3x-1 = x-1

3x²-4x=0

x(3x-4)=0

∴x=0, x=4/3

Answer:

I checked it over twice the first guy is correct make him brainliest

Step-by-step explanation:

Answer:

Nothing ( 0 )

Step-by-step explanation:

5(x - 1) = 5x - 1

5x - 1 = 5x - 1

5x - 5x = 1 - 1

0 = 0