One garden had 5 times as many raspberry bushes as a second garden. After 22 bushes are transplanted from the first garden to the second garden, the number of raspberry bushes in the gardens are the same. How many bushes did each garden have originally?

Please show work and no links or files! :)

Answers

Answer 1

To solve this problem form the system of equations as per statements given in the question then get the answer by solving them.

Number of bushes in garden one were 55 and in second garden 11 originally.

Let the number of raspberry bushes in one garden = x

And the number of raspberry bushes in second garden = y

Garden one has 5 times as many raspberry bushes as second garden,

So the equation for the given statement will be,

x = 5y -------(1)

22 bushes were transplanted from garden one to the second, number of bushes in both the garden becomes same,

Therefore, equation for this statement will be,

(x - 22) = (y + 22)

x - y = 22 + 22

x - y = 44 ------(2)

Substitute the value of x from equation (1) to equation (2)

5y - y = 44

4y = 44

y = 11

Substitute the value of 'y' in equation (1),

x = 5(11)

x = 55

Therefore, Number of bushes in garden one were 55 and in second garden 11 originally.

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Solve each equation. Be sure to check for extraneous solutions 53=5|p-4|+8

Answers

53=5p+28
Got answer from the lord

Hanks pickup can travel 45 miles on 3 gallons of gas. How many gallons will Hanks pickup need to travel 30 miles?

Answers

2 gallons because 45/3=15 30/15=2

We have an algebra problem.

We will find that Hank's pickup needs 2 gallons of gas to travel 30 miles.

The information given is:

The pickup can travel 45 miles on 3 gallons of gas.

To find the number of miles that the pickup can travel per gallon of gas, we need to find the quotient between the amount that he travels (45 miles) and the amount of gas that he uses (3 gallons)

This is:

r = (45 miles)/(3 gallons) = 15 miles/gallon.

Now that we know this, the number of gallons needed to travel 30 miles is given by:

N = (30 miles)/(15 miles/gallon) = 2 gallons.

N = 2 gallons.

The pickup needs 2 gallons to travel 30 miles.

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urgent answer needed pls

Answers

Answer:

25.

SEE THE IMAGE FOR SOLUTION

Inga is playing poker with some friends.

Let p represent the statement "Inga has two aces in her hand." Let q represent the statement "Inga has a full house." [Note, a "full house" is a specific type of hand in the game of poker.]

Which symbolic form represents the English sentence "Inga has either two aces in her hand or she has a full house."?

Group of answer choices

Answers

Symbolic form involves using symbols to represent statements. The symbolic form of the given sentence is p v q

Given that:

[tex]p \to[/tex] "Inga has two aces in her hand."

[tex]q \to[/tex] "Inga has a full house."

The given sentence "Inga has either two aces in her hand or she has a full house." can be represented as:

Either p or q

In symbolic form, either/or is represented as: v

So, the representation of either p or q is: p v q

Answers

Answer:

1.675

Step-by-step explanation:

Answer:

The answer is spider man work 1.675 hours

Step-by-step explanation:

0.75+0.675+0.25=1.675

PLEASE HELP ASAP
The current population of Allentown, Texas is 800 people.
If the population is increasing at a rate of 3% each year,
which equation could be used to determine the town's
population y after x years?
b
y = 800(1.03)
y = 800(3)
y = 800(0.03)
y = 800(x)3 =

Answers

Answer:

y = 800(0.03)

Hope it helps :D

The answer would be y = 800(0.03)

Find the inverse of the following

F(x)=-3/4x+6

Answers

Answer:

[tex] {f}^{ - 1} (x)= - \frac{4}{3} x + 8[/tex]

Step-by-step explanation:

[tex]f(x) = - \frac{3}{4} x + 6[/tex]

[tex]y = - \frac{3}{4} x + 6[/tex]

[tex]x = - \frac{3}{4} y + 6[/tex]

[tex] - \frac{3}{4} y + 6 = x[/tex]

[tex] - 3y + 24 = 4x[/tex]

[tex] - 3y = 4x - 24[/tex]

[tex]\boxed{\green{ {f}^{ - 1} (x)= - \frac{4}{3} x + 8}}[/tex]

The double of a number plus 12 is equal to its triple minus 5. What is the number? [tex]2x + 12 = 3x - 5[/tex] if I'm not wrong

Answers

Hi there!

»»————-　★　————-««

I believe your answer is:

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\2x + 12 = 3x - 5\\--------------\\\rightarrow 2x + 12 - 12 = 3x - 5 - 12\\\\\rightarrow 2x = 3x -17 \\\\\rightarrow2x -3x = 3x-3x - 17\\\\\rightarrow -x = - 17\\\\\rightarrow \frac{-x=-17}{-1} \\\\\rightarrow \boxed{x = 17}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

pls, help The temperature of a city changed by −24 degrees Celsius over a 6-week period. The temperature changed by the same amount each week.

Part A: Write an expression to show the average change in the temperature of the city each week. (5 points)

Part B: Simplify the expression and explain, using words, what your answer means. (5 points)

Answers

Answer:

Step-by-step explanation:

The change over 6 week period is -24 degrees Celcius.

A. -24/6

B . So in average every week the temperature change is -24/6 = -4 degrees Celcius

The number of writing instruments in some teachers' desks is displayed in the dot plot. Which is greater the mean or the median? Explain your reasoning using the shape of the distribution.

please help..
30 points

Answers

The median is greater than the mean. From the shape of the distribution, the data set has more values on the left, so we can say it is skewed to the left. In every distribution that is skewed to the left, the median is always greater than the mean.

In the given chart we can deduce the following;

number of instruments that is 5 = 1number of instruments that is 6 = 1number of instruments that is 7 = 1number of instruments that is 8 = 1number of instruments that is 9 = 3number of instruments that is 10 = 4number of instruments that is 11 = 2number of instruments that is 12 = 1

These numbers can be listed as follows;

5, 6, 7, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 12

The median of these numbers is calculated as;

[tex]median = \frac{9+ 10}{2} = 9.5[/tex]

The mean of these numbers is calculated as;

[tex]mean = \frac{5+6+7+8+9+9+9+10+10+10+10+11+11+12}{14} = 9.07[/tex]

Thus, the median is greater than the mean.

Also, from the shape of the distribution, the data set has more values on the left, so we can say it is skewed to the left. In every distribution that is skewed to the left, the median is always greater than the mean. But if the distribution is skewed to the right, the mean is always greater than the median.

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what is the simplified expression for-
HURRY PLEASE

Answers

Answer:

3/2

Step-by-step explanation:

you basically just simplify the exponents first, and then simplify from there.

(please help!)
Add −1.25+2.5

Plot the first addend and the sum on the number.

Answers

Answer:

the answer of this question is 1.25

-1.25+2.5 = 1.25.
___

A shadow 60 meters long is cast by a stone tower that is 32 meters tall. If a cedar tree close
by casts a shadow 15 meters long, how tall is the cedar tree?
Write your answer as a whole number or a decimal. Do not round.

Answers

Answer:

107

Step-by-step explanation:

you will add 60 + 32 +15 = 107 that is how i got the answer

Helpppppppppppppppppppp

Answers

Step-by-step explanation:

could you write it clearly pls !!!

Answer:

s = 3/10

Step-by-step explanation:

-S - 5st =0

S = 3

t = -2

-3 - 5 (-2) s =0

10 s = 3

s = 3/10

please help it’s a ca!! will mark brainliest

Answers

Answer:

the first one: The coordinates of A' are (-2, 3)

and the last one: The coordinates of B' are (-2, 0) and the coordinates of C' are (2, -1).

Step-by-step explanation:

when you rotate a triangle counterclockwise by 90° you swap the numbers of the x and y coordinates.

like how the coordinates of B' were (0, 2) and became (-2,0) once the triangle was rotated.

The answer would be 1 and 4

Evaluate 3x when x = -8.

Answers

x = -8

3x = 3 · (-8) = -24

.......

Write an equation of the line passing through point P that is perpendicular to the given line:
P(6, 0) y=4

Answers

Answer:

x=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is one of those things that will drive you insane until you understand the answer.

Every y value is 4 no matter what x is.

The perpendicular will meet y = 4 at the point (6,4)

Answer: So the equation has to be x = 6.

The blue line is y = 4

The red line is x = 6

The point of intersection is marked.

Which value is a solution to the inequality 13 – x ≤ –29?

Answers

Step-by-step explanation:

13-x<-29-x <-29-13-x < -42x <42

hope it helps.stay safe healthy and happy..

Answer: x[tex]\geq[/tex]42

Step-by-step explanation: 13-x-13≤–29-13 -x+13-13≤-29-13 -x≤29+13 x[tex]\geq[/tex]42

What is 0.446 kilometer rounded to the nearest tenth?

Answers

Answer:

0.4 is your answer :3

Step-by-step explanation:

write an equation that contains points (0, 4) and is perpendicular to x-3y=-12

Answers

X-3(4)=-2
x-12=-2
So ya add the -12 to both side and you get X=10

Answer:

y= -3x+4

Step-by-step explanation:

x+12=3y

(x+12)/3 = y

slope =

[tex] \frac{1}{3} [/tex]

the new slope = -3

Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b

4 = -3×(0) + b

b= 4

so y= -3x+4

I dont think I can write this; any help?

Answers

Answer:

3^2-5

4th Answer (d)

4th from the top.

Step-by-step explanation:

Which equation represents a line which is parallel to X=0

Y=6
Y=x
X=1/3y
X=1

Answers

Answer:

y=x is the right answer............

PLEASE HELP ASAP 10 points
What is the domain of the following relation:

{(-2, 0), (3, 5), (6, 10), (9, 11)}

Answers

-2, 3, 6, 9 (first numbers of a function. the last are the range.)

Domain: {−2,3,6,9} :):):):):):)

Please convert these!

Answers

1. 62.5992485 liters per hour

2. 11.479 kilometers per liter

3. 299791819 meters per second

That’s the answers I got when I looked it up on a calculator, hope it helps

I need help with the perimeter

the measurements of a rectangular tablecloth are 94 cm and 64 cm.

how many cm does the perimeter of the tablecloth measure?

how many cm of fabric were used to make it?

Answers

Step-by-step explanation:

1) Perimeter = 2(l + w)

Perimeter = 2(94 + 64)

Perimeter= 2(158) = 361 cm

2) Fabric required = Area

Area = l × b

Area = 94 × 64

Area = 6016 cm²

Word Problem:

The measurements of a rectangular tablecloth are 94 cm and 64 cm.

Solution and Answer:

How many cm does the perimeter of the tablecloth measure?

Perimeter = 2(Length × Width)P = 2(l + w)P = 2(94 + 64)P = 2(158)P = 316 cm

Therefore, the perimeter of the tablecloth is 316 cm.

How many cm of fabric were used to make it?

Area = length × widthA = l × wA = 94cm × 64 cmA = 6,016 cm²

Therefore, the fabric is 6,016 cm².

I need the answer to this question

Answers

Answer:

y = 3/4x + 19/2

Step-by-step explanation:

m = 3/4. point (-6,5)

Point slope form:

y-5=3/4(x- -6)

y -5 = 3/4x + 18/4. 18/4 = 9/2

Y = 3/4x + 9/2 + 5. 5 times 2 plus 9 over 2 = 19/2

y = 3/4x + 19/2

evaluate the expression c[tex]a^{2}[/tex]+a
for a=5 and c=-2

Answers

ca^2+a

= -2×5^2+5

= -2×25+5

= -50+5

= -45....

If (a, - 8) is a point on the graph of y=x + 6x, what is a?

Answers

First, [tex]y=7x[/tex] and when we plug in the point we get [tex]-8=7a\implies a=-\frac{8}{7}[/tex].

Hope this helps :)

What does the digit 2 represent in 701, 280?
Twenty thousand
Two hundred
Two hundred thousand
Two thousand

Answers

It represents two hundred

Please help me!!!!
What is the midpoint of AB ?
B

Answers

Answer:

hope it helps you........

Step-by-step explanation:

The midpoint formula is

[tex] (\frac{x1 + x2}{2} ) \: and \: ( \frac{y1 + y2}{2} )[/tex]

Where (x1,y1) is one pair of the points and (x2,y2) is the other pair of points.

The points are

(-5,-4)

(-3,3) So the midpoint is

[tex]( \frac{( - 5 + ( - 3)}{2} )\: and \:( \frac{ - 4 + 3}{2} )[/tex]

Which gives us

[tex] - 4 \: and \: - 0.5[/tex]

So the midpoint is

(-4,-0.5)

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One garden had 5 times as many raspberry bushes as a second garden. After 22 bushes are transplanted from the first garden to the second garden, the number of raspberry bushes in the gardens are the same. How many bushes did each garden have originally? Please show work and no links or files! :)

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One garden had 5 times as many raspberry bushes as a second garden. After 22 bushes are transplanted from the first garden to the second garden, the number of raspberry bushes in the gardens are the same. How many bushes did each garden have originally?

Please show work and no links or files! :)