The product of 7 and x is the same as the sum of nine and three and two. What is the value of x?

Answers

Answer 1

Answer:

Given:

The product of 7 & x is the same as the sum of 9 and 3 and 2.

To Find:

The value of x ?

Solution:

According to the question:

(1) The product of 7 & x

7x

(2) The sum of 9 and 3 and 2

9 + 3 + 2

➝ 14

From (1) and (2) , we get:

➝ 7x = 14

➝ x = 14 ÷ 7

x = 2

Let's Check:

Let's check whether our answer is correct or not:

• To check our answerer, let's putting the value of x :

♣ 7(2) = 14

♣ 14 = 14 ✅

Thus, our answer is correct....The value of x is 2.


Related Questions

Wren recorded an outside temperature of –2°F at 8 a.m. When she checked the temperature again, it was 4°F at 12:00 p.m. If x represents the time and y represents the temperature in degrees Fahrenheit, what is the slope of the line through these two data points?



Answers

Answer:

Answer

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audreyburkett12

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Assuming the time changes at a constant rate, the equation for this is linear (so has the equation y=mx +c)

8am = -2

9am = -0.5

10am = 1.0

11am = 2.5

12pm = 4

m = change in each value or the slope , for this it is m=1.5

c = the y intercept, we find this by: when x=8 y must = 1.5 , which it isn't , y has to = -2 . So c = -3.5

The equation then is: y= 1.5*x - 3.5

The gradient/slope/m value is 1.5. The answer is 1.5

6. Emily rides her bike with a constant speed of
12 miles per hour. How far can she travel in 3
1/2 hours?

Answers

Answer:

42 miles

Step-by-step explanation:

If it's a constant 12 miles per hour then it would be

12 mph x 3 hours = 36

then you would add that with the 1/2 hour for

12 mph x 1/2 hours = 6

36 + 6 = 42 miles traveled

A penny, nickel, and dime are simultaneously flipped. What is the probability that heads are showing on at least 6 cents worth of coins

Answers

Answer:

5/8

Step-by-step explanation:

The number of possible outcomes after flipping 3 coins is $2 \times 2 \times 2 = 8$. If the dime isn't heads, we need both the penny and nickel to be heads. If the dime is heads, the other two could be anything. So there are a total of $1+(2 \times 2)=5$ ways for us to get at least 6 cents. The answer is $\boxed{\dfrac58}.$

Part A: In your own words, describe the relationship between the temperature of the city and the number of ice cream cones sold. (5 points)

Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)

Answers

Part A: The amount of ice cream increases as the temperature increases. Part B: the slope is 2 and the y-intercept will be 5.

What is the slope of a line which passes through points ( p,q) and (x,y)?

Its slope would be:

[tex]m = \dfrac{y-q}{x-p}[/tex]

Part A: The relationship between the temperature of the city and the number of ice cream cones sold.

From the graph, the dots on the graph increase in the up-right direction.

Thus, The amount of ice cream increases as the temperature increases.

Part B: The line of best fit

First, if we draw a line through the points

we select any 2 points on the line:

( p,q) and (x,y) as (15, 35) and (0, 5).

The slope (m) is:

[tex]m = \dfrac{y-q}{x-p}[/tex]

[tex]m = \dfrac{5 - 35}{0-15}\\\\m = 2[/tex]

So, the line of best fit is:

y = mx + c

y = 2(x - 0) + 5

y = 2x + 5

The y-intercept will be when x = 0

y = 2x + 5

y = 0 + 5

y = 5

Thus, the slope is 2 and the y-intercept will be 5.

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The equation of a circle is x^2 + y^2 =16 if the circle is translated 2 units up, what is the equation of the new circle?

Answers

The equation of the circle with the new point will be x² + ( y - 2 )² = 16.

What is a circle?

The circle is defined as the locus of the point traces around a fixed point called the centre and is equidistant from the outer trace.

Given that:-

The circle is translated as 2 units up.

The equation of the circle will be formed as:-

We know that the general form of the circle is given as

( x - h )² + ( y - k )² = r²,

where ( h, k ) is the centre and r is the radius. When the circle is shifted 2 units up it means that now its centre will be ( 0, 2). So the equation will be:-

x² + ( y - 2 )² = 16

Therefore the equation of the circle with the new point will be x² + ( y - 2 )² = 16.

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Chris needs a clever pattern for Math class tomorrow. He comes up with this pattern: 8, 4, 12, 6, 16, 8, 20, 10, ___, __.

What is his rule for this pattern

A. each set of 4 numbers adds to 36.
B. each set of four numbers adds up to 30.
C. each set of 2 numbers makes up a prime number.
D. the first number in each set of 2 numbers is 4 more than the last first number, and the second number is ½ of the first.

Answers

Answer:

D

Step-by-step explanation:

can't really explain it just is the answer

hope this helps!

Wyatt analyzed the data from his science experiment and found that the MAD was greater than the IQR.
What does this tell you about the variability of the data?

A: The middle 50% of the data is
spread out more than the
average variation.

B: The average variation is spread
out more than the middle 50%
of the data.

C: The average of the data is closer to the
least value than it is to the greatest
value.

D: The average of the data is closer to the
greatest value than it is to the least value.

Answers

Answer:

C: The average of the data is a closer to the least value than it is to the greatest value

A rectangular swimming pool is 30 cm wide and 40 cm in length. Find the total area and perimeter of the swimming pool.​

Answers

Answer:

Area: 1,200 square centimeters. Perimeter: 140 centimeters.

Step-by-step explanation:

Since you have to multiply the length and width in order to find the area, multiply 30 and 40 together and you can find 1,200. Next, to find the perimeter you have to add all the lengths of the rectangular swimming pool, which will result in 140 centimeters.

Prove that the two circles shown below are similar. (10 points)

Circle C is shown with a center at negative 3, 1 and a radius of 4. Circle E is shown with a center of 4, 9 and a radius of 3.

Answers

Both circle C and circle E are similar to each other but the radii are different.

What is a circle?

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Circle C is shown with a center at (negative 3, 1) and a radius of 4.

Circle E is shown with a center of (4, 9) and a radius of 3.

There is only one parameter in the circle which is radius or diameter.

Then both circle C and circle E are similar to each other but the radii are different.

As shown in the graph.

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How long did she take for the total distance?
Dana has covered 15 miles on her bike. She covered the first 9 miles at 3 miles an hour and the remaining distance at 2 miles an hour.
Please help ffast and thanks!

Answers

Answer:

  6 h

Step-by-step explanation:

The relation between time, speed, and distance is ...

  time = distance / speed

The total time for the two segments of her ride will be the sum of the times for each of the segments.

__

first 9 miles

  t1 = (9 miles)/(3 mi/h) = 3 h

last 6 miles

After riding 9 miles of the 15-mile distance, Dana had 15 -9 = 6 miles to go.

  t2 = (6 miles)/(2 mi/h) = 3 h

total time

The total time required for the distance of 15 miles is ...

  t1 +t2 = (3 h) +(3 h) = 6 h

It took 6 hours for Dana to cover the distance.

what is the median and mean amount of sugar? pictures attached

Answers

Answer:

Step-by-step explanation:

mean is found by adding the numbers and dividing the sum by the number while the median is the middle value of the list ordered in an ascending order

what adds to -288 and adds to -41?

Answers

Answer: -329 sorry if i'm not right

Identify the equation of direct variation given that y varies directly with x.
y is 15 when x is 11.

Answers

The equation of direct variation given that y varies directly with x.

y is 15 when x is 11 will be [tex]y = \dfrac{15}{11} x[/tex].

What is proportionality?

The proportional relationship between x and y can be written symbolically as

[tex]x \propto y[/tex]

That middle sign is called the sign of proportionality.

Variation: Direct from y to x:

[tex]x \propto y[/tex]

y = 15, x= 11

Write the equation

[tex]x \propto y[/tex]

Express as an equation

[tex]y = kx[/tex]

Where k is the constant of variation

Substitute

y = kx

15 = 11k

Solve for k

k = 15/11

Substitute  in [tex]y = kx[/tex]

[tex]y = \dfrac{15}{11} x[/tex]

Thus, the equation of direct variation given that y varies directly with x.

y is 15 when x is 11 will be [tex]y = \dfrac{15}{11} x[/tex].

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Help me to answer this math please

Answers

The water consumption based on the information for three months will be 22267m³.

How to calculate the values?

The total water consumption for the three months will be:

= 7219 + 7390 + 7658

= 22267m³

In conclusion, the information simply wants you to add the values of the water given.

Therefore, the water consumption based on the information for three months will be 22267m³.

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How many 1/12 pieces are in 3/3? 3/3 = __/12

Answers

Answer:

Is your teacher trying to confuse us or what?

Step-by-step explanation:

well 3/3 is full so it's just like 12/12, so 12 pieces of 1/12 piece are in 3/3

the diameter of a cone is 1.5 meters, the height is 1.5 times the radius, what is the volume?​

Answers

Answer:

.66 cu. meters

Step-by-step explanation:

volume for cone is V=1/3 x TT x r^2 x height

TT (pi) is 3.14

radius is 1/2 of diameter (1/2 x 1.5 =  .75 )

height is 1.5 x radius (1.5 x .75 = 1.125)

V= 1/3 x 3.14 x .75^2 x 1.125

V= .66  cu. meters

The lengths of 10 ribbons are 100 cm, 110 cm, 95 cm, 60 cm, 20 cm, 60 cm, 110 cm,
88 cm, 102 cm and 120 cm.
(i) State the modal lengths of the ribbons.
(ii) If a ribbon of length 110 cm is removed, what will be the new modal length of
the ribbons?

Answers

The modal lengths of the ribbons are 60 cm and 110cm.

If the length 110 is removed, the new model length would be 60 cm.

What is the mode?

Mode refers to a value that appears most frequently in a data set. Mode is a measure of central tendency. 110 and 60cm occur twice in the dataset. Thus, they are the mode lengths.

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The Chesapeake Bay holds about 18 trillion gallons of water. The bay covers 4,480 square miles or 2,867,200 acres. Each acre can hold 750,000 oysters. Each oyster can filter 50 gallons of water each day. Can there be enough oysters to filter the whole Chesapeake Bay in one day? How is this number impacted by the bay's conditions?

Answers

There are enough oysters to filter the whole Chesapeake Bay in one day.

The numbers can be affected by the water temperature and the cleanliness of the water.

Are there enough oysters?

The total number of water that can be filtered by the oysters is a function of the total amount of oysters in the bay and the quantity of water they can filter.

Total amount of water they can filter = oysters per acre x total acre x total gallons they can filter each day

(2.9 x[tex]10^{6}[/tex]) x (7.5 x [tex]10^{5}[/tex]) x (5 x 10) = 1.0875 x [tex]10^{14}[/tex]

The gallons of water in the bay in standard form = 1.8 x [tex]10^{13}[/tex]

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Write an expression that represents “divide 0.04 by n''

Answers

Answer:.04/n

Step-by-step explanation:solidus represents division

70 is what percent
of 350?

Answers

answer: 70 is 20% of 350

Answer:

20

Step-by-step explanation:

it is easy first think but besides which school are you from

Please help! 20 points if u answer

Answers

Answer:

find the measure of J

180-45=135

find the measure of K

360-135=225

MATH!!! find the volume of the pyramid. pleaseee answer correctly and tell me how you got your answer.

Answers

The area of polygons formulas to V=2.56m^2

We have to determine,

The volume of the pyramid.

What is the volume of the pyramid?

The volume of a pyramid is found using the formula,

V = (1/3) Bh

where 'B' is the base area and 'h' is the height of the pyramid.

hight =2.4m

base=1.4+1.8

base=3.2m

V = (1/3) (3.2)(2.4)

V=2.56m^2

As we know the base of a pyramid is any polygon,

we can apply the area of polygons formulas to find 'B.

V=2.56m^2.

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Graph the inequality p < - 8. Also ignore my dirty iPad

Answers

Step-by-step explanation:

it is just a line covering all values smaller than -8 (that means left of -8).

so, it is a line starting at -8 and going all the way to the left (to the arrow on the left). and you make an empty (hollow) dot at -8, because the value -8 is not included (otherwise it would be p <= -8, and it would be a filled dot at -8).

Hope this helps! Let me know if you need anything.

What is 2x^2+3x-9? i need help finding this answer

Answers

Factoring this equation, your answer is:

(2x−3)(x+3)

HAVE A NICE DAY!

Answer:

x=3/2 or x=-3

Step-by-step explanation:

first off equate the equation to zero

2x²+3x-9=0

then using factorisation method multiply 2 and -9 to get -18.

factors of -18 include +6 and -3

2x²+6x-3x-9=0

then factorise it

2x(x+3)-3(x+3)

(2x-3)(x+3)=0

2x=3 x+3=0

x=3/2 or -3

Alesha has $25. She spent $4 on lunch and $3 for a book everyday. How many days could Alesha use the money for?

Please explain with steps tysm!

Answers

4+3 = 7
This is the amount of dollars spent each day
25/7 = 3 4/7
This means the money will last for 3 days.

A hyperbola centered at the origin has a vertex at (0,−40) and a focus at (0, 41). which are the equations of the asymptotes? y = ±x y = ±x y = ±x y = ±x

Answers

The equations of the asymptotes of the given hyperbola are; y = ±(40/9)x

How to Interpret the equation of a hyperbola?

We are given;

Vertex at (0,−40)

Focus at (0, 41).

Thus, the equation of the asymptote of the given hyperbola is;

y = ±(40/(√41 - (-40))

y = ±(40/(√81)

y = ±40/9

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Which is the completely factored form of 12x3 – 60x2 + 4x – 20?

Answers

Answer:

[tex]4(x-5)(3{x}^{2}+1)[/tex]

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

1 - What is the largest number that divides evenly into [tex]12x^3,-60x^2,4x,[/tex] and [tex]-20[/tex] ?

It is [tex]4.[/tex]

2 - What is the highest degree of [tex]x[/tex] that divides evenly into [tex]12x^3,-60x^2,4x,[/tex] and [tex]-20[/tex] ?

It is 1, since [tex]x[/tex] is not in every term.

3 - Multiplying the results above,

The GCF is 4.

2)  Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

[tex]4(\frac{12{x}^{3}}{4}+\frac{-60{x}^{2}}{4}+\frac{4x}{4}-\frac{20}{4})[/tex]

3) Simplify each term in parentheses.

[tex]4(3{x}^{3}-15{x}^{2}+x-5)[/tex]

4) Factor out common terms in the first two terms, then in the last two terms.

[tex]4(3{x}^{2}(x-5)+(x-5))[/tex]

5)  Factor out the common term [tex]x-5[/tex].

[tex]4(x-5)(3{x}^{2}+1)[/tex]

3. Given: AABC, ADEF, and FEL CE
A
6
What is a correct sequence of similarity transformations that shows AABC~ ADEF?
A. a rotation of 180 degrees about point E followed by a horizontal translation
B. a counterclockwise rotation of 90 degrees about point E followed by a horizontal translation
C. a rotation of 180 degrees about point E followed by a dilation with a scale factor of 2 centered at point E
D. a counterclockwise rotation of 90 degrees about point E followed by a dilation with a scale factor of 2 centered
at point E

Answers

A correct sequence of similarity transformations that shows AABC~ ADEF is that D. a counterclockwise rotation of 90 degrees about point E followed by dilation with a scale factor of 2 centered at point E.

What is similarity transformation?

A similarity transformation refers to a geometric similarity, or to a matrix transformation that results in a similarity.

In this case, the correct sequence of similarity transformations that shows AABC~ ADEF is that a counterclockwise rotation of 90 degrees about point E followed by dilation with a scale factor of 2 centered at point E.

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help me plss ty in advance:))​

Answers

Answer:

See below ~

Step-by-step explanation:

Q1

⇒ S = {1, 2, 3, 4, 5, 6}

===========================================================

Q2

⇒ No. of possible outcomes = 6

===========================================================

Q3

(a)

⇒ P(6) = Number of 6's / Total numbers

⇒ P(6) = 1/6

(b)

⇒ P (negative) = No. of negative numbers / Total numbers

⇒ P (negative) = 0/6

⇒ P (negative) = 0

(c)

⇒ P (odd) = No. of odd numbers / Total numbers

⇒ P (odd) = 3/6

⇒ P (odd) = 1/2

[tex]y=1-sqrt(1-2/x)[/tex]
make x the subject

Answers

[tex]~~~~~~~~y = 1- \sqrt{ 1- \dfrac 2x}\\\\\\\implies \sqrt{ 1- \dfrac 2x} = 1 - y\\\\\\\implies 1 - \dfrac 2x = (1 -y)^2~~~~~~~~~~~~~;[\text{Square on both sides}]\\\\\\\implies \dfrac 2x = 1-(1-y)^2\\\\\\\implies \dfrac{1}{x} = \dfrac{1-(1-2y+y^2)}{2}\\\\\\\implies x = \dfrac{2}{1-1+2y-y^2}\\\\\\\implies x = \dfrac{2}{2y-y^2}\\\\\\\implies x = -\dfrac{2}{y(y-2)}~~~~~~~~~~~~~~~~~;[y\neq 0,~ y \neq 2]\\[/tex]

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