The ratio of the width to the length of a flower is 10:19. How long is the flower bed if it’s width is 6 feet?

Answer:

B. -1.

Step-by-step explanation:

Note: 10 = 10^1 so:

10^-3 x 10 x 10^k = 10^(-3 + 1 + k) = 10^(k - 2).

So 10^(k - 2) = 10 ^(-3)

and k - 2 = -3

k = 2 - 3 = -1.

Answer: -1

Step-by-step explanation:

Step-by-step explanation:

In order to solve this I would write out a number line like this

-10 -9 -8 -7 -6 -5 -4-3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

Then I would start at -7, and count up to 3

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

Answer:

[tex]\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right] \left[\begin{array}{ccc}c\\d\end{array}\right] =\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right][/tex]

This tells us that:

[tex]A=\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right][/tex]

[tex]b=\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right][/tex]

Step-by-step explanation:

So we are saying we have scalars, c and d, such that:

[tex]c\left[\begin{array}{ccc}5\\5\\ 3\end{array}\right]+d\left[\begin{array}{ccc}7\\-8\\-9\end{array}\right]=\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right][/tex].

So we want to find a way to express this as:

Ax=b where x is the scalar vector, [tex]\left[\begin{array}{ccc}c\\d\end{array}\right][/tex].

So we can write this as:

[tex]\left[\begin{array}{ccc}5&7\\5&-8\\3&-9\end{array}\right] \left[\begin{array}{ccc}c\\d\end{array}\right] =\left[\begin{array}{ccc}-16\\3\\-15\end{array}\right][/tex]

Answer:

400 + 5x = 582 - 8x

14 weeks

Step-by-step explanation:

Set them both up in an equation ---> x = weeks

400 + 5x = 582 - 8x

Solve

13x = 182

x = 14

To determine how many weeks it will take for Chris and Ben to have the same amount in their bank accounts, we can set up and solve an equation based on their weekly deposits and withdrawals. After setting their equations equal to each other and solving for 'x', we find that it will take 14 weeks.

To determine how many weeks it will take for Chris and Ben to have the same amount in their bank accounts, we can set up an equation based on their weekly deposits and withdrawals. Let's represent the number of weeks as 'x'.

Chris's bank account balance can be represented by the equation: 400 + 5x

Ben's bank account balance can be represented by the equation: 582 - 8x

To find the number of weeks it takes for their balances to be equal, we can set their equations equal to each other and solve for 'x':

400 + 5x = 582 - 8x

Combining like terms and isolating 'x', we get:

13x = 182

Dividing both sides by 13, we find that x = 14.

Thus, it will take 14 weeks for Chris and Ben to have the same amount in their bank accounts.

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Absolute values are always non-negative, so |-2.24| equals 2.24.

The absolute value of a number is its distance from zero on the number line, ignoring its sign. For -2.24, the distance from zero is 2.24 units.

This concept is useful in various mathematical calculations, such as finding the magnitude of a vector in physics or determining the error in measurements. In practical terms, it allows us to express distances, differences, or deviations without regard to direction. For example, if you are comparing temperatures, the absolute difference between -5°C and 8°C is 13°C, regardless of whether you are measuring an increase or decrease in temperature. This property makes absolute values valuable in many areas of mathematics, science, and everyday life.

Complete question: What is |-2.24|?

Answer:

18 batches of pancakes

Step-by-step explanation:

22.5/1.25=18

Answer:

17 batches

Step-by-step explanation:

Divide (1 1/4 cup per batch) into 22 1/2 cups:

  22 1/5 cups

---------------------- = 22.2/1.25 batches = 17.76 batches

   1 1/4 cup

   --------------

     1 batch

One bag of flour will make 17 batches with about 3/4 batch unfinished.

Answer:24

Step-by-step explanation:

The ratio of 6 to 4 is the same as the ratio of 36 to 24. This is found by setting up the ratios as fractions, setting them equal to each other, and then solving for the unknown.

The question is asking for an equivalent ratio to that of 6 to 4, using 36 as the first term. To do this, you need to determine what number 36 is in the same ratio. A ratio is a relationship between two numbers indicating how many times the first number contains the second. In our case, 6 is to 4 as 36 is to what?

To find the answer, you can set up the ratios as fractions and solve for the unknown. For example, the ratio of 6 to 4 is expressed as 6/4. Because we want a ratio that's equivalent, we say 6/4 = 36/x, where x is the unknown number, we need to find.

Solving for x involves arranging the equation to isolate x and then performing the algebraic operation that gives the value of x. This would be: 6/4 = 36/x -> 6x = 36×4 -> 6x = 144 -> x = 144/6 -> x = 24.

Therefore, the ratio of 6 to 4 is equal to the ratio of 36 to 24 in math.

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Carlo will attend art class in 4 weeks,

fencing lessons in 3 weeks,

and chess club in 2 weeks.

Answer:

2.2360679775 or simply put 2.2

Step-by-step explanation:

The square root of 5 will not be a perfect square.

Answer:

17.928666

Step-by-step explanation:

2.394*7.489

Answer:

Ana will have to multiply the amount of each item on the recipe by .25

For the 1/2 cup amount of coconut oil to be used instead of butter will be .125 or 1 and 5/8 amount of coconut oil to be used instead of butter.

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pi is the ratio of the 2 measures 1.5 of a circle.

The solution for [tex]\(y\)[/tex] in the equation [tex]\(34x + 14y = 5\)[/tex] is [tex]\(y = -\frac{17x}{7} + \frac{5}{14}\).[/tex]

To solve the equation [tex]\(34x + 14y = 5\)[/tex] for [tex]\(y\)[/tex], we need to isolate [tex]\(y\)[/tex] on one side of the equation. Here's the step-by-step process:

1. **Subtract 34x from both sides:**

[tex]\[ 14y = -34x + 5 \][/tex]

2. **Divide both sides by 14 to solve for y:**

[tex]\[ y = \frac{-34x + 5}{14} \][/tex]

Now, let's simplify the expression by breaking it into two terms:

[tex]\[ y = \frac{-34x}{14} + \frac{5}{14} \][/tex]

Simplify each term:

[tex]\[ y = -\frac{17x}{7} + \frac{5}{14} \][/tex]

So, the solution for [tex]\(y\)[/tex] in terms of [tex]\(x\)[/tex] is:

[tex]\[ y = -\frac{17x}{7} + \frac{5}{14} \][/tex]

This equation represents a line in the xy-plane. The coefficient [tex]\(-\frac{17}{7}\)[/tex] is the slope, indicating the rate of change of [tex]\(y\)[/tex] with respect to [tex]\(x\),[/tex] and [tex]\(\frac{5}{14}\)[/tex]is the y-intercept, representing the point where the line crosses the y-axis.

The answer would be "320 jokes."

[tex]\frac{5}{100}[/tex]

[tex]\frac{5}{100} of320[/tex]

[tex]\frac{5}{100} \times320=16[/tex]

[tex]=16[/tex]

Therefore Mr. Larios made 320 jokes this year and only 16 of them were funny.

Hope this helps

Answer:

he makes 320 jokes a year

Step-by-step explanation:

Answer:

x=-10

Step-by-step explanation:

Answer:

x = -10

Step-by-step explanation:

I will assume that you meant:

(1/4)(8x-20)=6x - (x-25) = 5x + 25

If this is correct, let's remove the denominator 4 by multiplying all terms by 4:

(8x - 20) = 4(6x - x + 25), or

8x - 20 = 20x + 100

Consolidating the x terms on the right and the constants on the left, we get:

-120 = 12x, or x = -10

Answer:

[tex]\frac{9}{10}[/tex]

Step-by-step explanation:

Find the LCD because like last time, you cannot add or subtract fractions with different denominators.

LCD = 10

Since the second fractions stayed at the same denominator, you will only have to multiply the first fraction.

[tex]\frac{2 * 2}{5 * 2}[/tex]

[tex]\frac{4}{10}[/tex]

[tex]\frac{4 + 5}{10}[/tex]

[tex]= \frac{9}{10}[/tex]

Answer:

2/5 + 5/10 = 9/10

Step-by-step explanation:

Turn 2/5 into 4/10 to make the two fractions' denominators the same by multiplying 2 × 2 =4 and 5 × 2 = 10. Then add 4/10 + 5/10 to get 9/10.

Answer:

40 Km

Step-by-step explanation:

Cross-multiply (rule of three)

2.5 cm--------10 Km

10 cm-----------x Km

2.5/10 = 10/x

so

x = 100/2.5 = 40 Km

Answer:

Step-by-step explanation:

First  let's look at this with just the whole numbers.  Say someone used 2 kg and had 3 left.  it should be pretty simple to see that you started with 5 kg.  It's basically an algebra problem.  if we say x is the starting amount then x-2 = 3.  You could then solve for x=5.  Now, let's dot he same for your actual numbers.  

x - 3/5 = 2 1/4

x = 2 1/4 + 3/5

Now, to add fractions you need to get the same denominators.  we are just really concerned with 1/4 + 3/5.  Now, you need to knwo you can change fractions.  so 1/4 = 2/8 = 3/12 = 4/16 and so on,  You are basically multiplying the numerator and denominator by the same number.  (1*2)/(4*2) = 2/8.  Now, to make both denominators equal you can multiply one fraction by the other denominator.

1/4 + 3/5

(1*5)/(4*5) + (3*4)/(5*4)

5/20 + 12/20 = 17/20.

So now, back tot he main problem, we are adding 2 1/4 + 3/5 = 2 17/20.  so the starting amount was 2 17/20 kg.

There is another way to add fractions but it is more involved and this always works so this is what I always use.  

Ms. How bought a bag of rice that weighs 57/20 or 2 7/20 kg.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Ms. How bought a bag of rice for dinner.

Assuming she bought x kg of rice.

She used 3/5 kg of the rice and still had 2 1/4 kg left.

∴ x - 3/5 = 9/4.

x = 3/5 + 9/4.

x = (12 + 45)/20 kg.

x = 57/20 kg.

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The most likely correlation coefficient for the set of data shown would be C. 0.19.

The correlation coefficient is a measure of how similar two datasets are acting.

The range of correlation coefficient is [-1, 1]

When the correlation coefficient comes out as -1, it means that both the datasets are negatively oppositely correlated.

One data increases, other data starts decrease in the opposite direction.

If the correlation coefficient comes out as 1, then the values grow exactly similarly, in the same direction.

If the slope of the scatters plot increases from left to your right upwards, the correlation coefficient of the data would be positive.

The scatter plot that is given shows this pattern, therefore, the most likely correlation coefficient of the data set is: C. 0.19.

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Final answer:

To find the width of a rectangular poster with a perimeter of 124 inches and a length that is 10 inches longer than the width, set up the perimeter equation, solve for the width, and find that the width is 26 inches.

Explanation:

The student asks to find the width of a rectangular poster where the length is 10 inches longer than the width, and the perimeter is 124 inches.

Firstly, let's denote the width of the poster as w inches. Therefore, the length is w + 10 inches. The formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

We can set up the equation for the given perimeter:

2(w + 10) + 2w = 124

Simplifying the equation:

2w + 20 + 2w = 124

4w + 20 = 124

4w = 104

w = 26

The width of the poster is 26 inches.

Answer:

A. -7 - 7 = -14

B. 7 - 7 = 0

C. -7 - (-7) = 0

D. 7 - (-7) = 14

Answer:

-7 - 7 = -14  ; Two negatives equal a positive

7 - 7 = 0  ;

-7 - (-7) = 0

7 - (-7) = 14 two negatives equal a positive

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Answer:

m=8

Step-by-step explanation:

-88=-3(4m+5)-(1-3m)

-88=-12m-15-(1-3m)   <- Distributive Property

-88=-12m-15-1+3m  <- Open () if there is a negative negative the symbol equals positive

-88=-9m-16    <- Simplify

0=-9m+72   <- Add 88 to both sides

9m = 72 <- Add 9m to both sides

9m = 72

/9      /9

m=8

Answer:

Step-by-step explanation:

if m = -3

-7(-3)²+2(-3)+7 = -63-6+7 = -62

Hey!

---------------------------

Solution:

= -7(-3)² + 2(-3) + 7

= -63 + -6 + 7

= -69 + 7

= -62

---------------------------

Answer:

-62

---------------------------

Hope This Helped! Good Luck!

Answer:

y = 2x - 8

Step-by-step explanation:

Parallel lines have SIMILAR RATE OF CHANGES [SLOPES], so 2 remains the same:

8 = 2[8] + b

↑

16

-8 = b

y = 2x - 8 >> Parallel Equation

I am joyous to assist you anytime.

Answer:

Less

Step-by-step explanation:

5 divided by 6 is less than 1.

Answer: 0.83...

Answer:

Each student get less than 1 cup of broth.

Step-by-step explanation:

We have been given that a  teacher divides the 5 cups of broth among 6 students. We are asked to determine the amount that each student will get would be more than or less than 1 cup of broth.

Since there are 5 cups of broth, so we can distribute them to 5 students each having one cup of broth.

As the teacher divides the 5 cups of broth among 6 students, therefore each student will get less than one cup that is [tex]\frac{5}{6}[/tex] of cup.

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3, thus

y = 3x + c ← is the partial equation of the line

To find c substitute ( [tex]\frac{2}{3}[/tex], 4) into the partial equation

4 = 2 + c ⇒ c = 4 - 2 = 2

y = 3x + 2 → A

Answer:

Step-by-step explanation:

[tex]\left(\dfrac{2}{3};\ 4\right)\to x=\dfrac{2}{3},\ y=4\\\\\text{Put to the each equation:}\\\\A.\ y=3x+2\\\\4=3\left(\dfrac{2}{3}\right)+2\\4=2+2\\4=4\qquad\bold{CORRECT}[/tex]

We do not check other equations because all the lines have the same slope. Therefore, they are parallel lines. If one of the lines passes through a given point, then another cannot pass through that point.

Answer:

they are both in the thousands place

Step-by-step explanation:

Answer:

y

Step-by-step explanation: