Six added to 3 times a number is equal to 4 less than 5 times the number. What is the number?
5
-5
10
-10

Answers

Answer 1

Answer:

[tex]5[/tex]

Step-by-step explanation:

Let the number be [tex]x[/tex].

[tex]3x+6=5x-4[/tex]

[tex]3x-5x=-4-6[/tex]

[tex]-2x=-10[/tex]

[tex]2x=10[/tex]

[tex]2x/2=10/2[/tex]

[tex]x=5[/tex]

The number is 5.

Answer 2

Answer:

5

Step-by-step explanation:


Related Questions

The Japanese Yen corresponds to the American Dollar. If the exchange rate is 150 Yen for 1 Dollar, then a Japanese car sold in America for $10,000 will bring in 1,500,000 Yen. If the exchange rate changes to 120 Yen for each Dollar, then what price in Dollars would the car have to be sold in America to bring the Japanese 1,500,000 Yen?

Answers

Answer:

125,000

Step-by-step explanation:

Take the Japanese yen and divide by 12

1,500,000 divided by 12 = 125,000

A line is drawn through the point (-1,-1), parallel to the line 2x-3y+9=0. Where will it cross the x-axis?

Answers

Answer:

2x-3y-1=0I hope I'm correct.

Step-by-step explanation:

[tex]2x-3y+9=0\\Rearrange -in-form-of : y = mx+b\\-3y=0-9-2x\\-3y=-2x-9\\\frac{-3y=-2x-9}{-3} \\y =\frac{2}{3} \\\\For- parallelism- , m1=m2\\One -point- form (-1,-1)\\x1 = -1\\y1 = -1 \\m = \frac{2}{3}\\ y -y1=m(x-x1)\\y -(-1)=\frac{2}{3} (x-(-1))\\y+1=\frac{2}{3}(x+1)\\y+1=\frac{2}{3}x + \frac{2}{3}\\\\y = \frac{2}{3}x + \frac{2}{3}-1\\\\y = \frac{2}{3}x - \frac{1}{3}\\Multiply- through-: by 3 \\3[y = \frac{2}{3}x - \frac{1}{3}]\\\\3y = 2x -1\\Answer = 2x-3y-1=0[/tex]

^^^^^^^^^^^^^^^^^^**^^^^^^^^^^^^^

Find x and y. Give reasons to justify your solution.

Answers

Answer:

x = 32

y = 35

Step-by-step explanation:

x = 32 because they are vertical angles. Vertical Angles means a pairs of opposite angles made by two intersecting lines.

y = 35 because the vertical angle for y is 35 (view attached image below). Also, if we add all the angles together in the image, it comes out to a sum of 360 degrees, which is a full circle.

Answer:

x=32 degrees

y=35 degrees

Step-by-step explanation:

trust me

The triangles shown below must be congruent. True or false?

Answers

Answer:

A

Step-by-step explanation:

A) True, the triangles are congruent

Please complete the attachment attached below

Answers

Answer:

The mode is 7 , median is 7 and the range of data is 2.8

Step-by-step explanation:

Stem leaf diagram :

5 | 7   7    9

6 | 5 6 8 8 9

7 | 0 0 0 2 5 5 7 8

8 | 4 4 5

Key : 5|7 means 5.7 cm

So, Data : 5.7,5.7,5.9,6.5,6.6,6.8,6.8,6.9,7.0,7.0,7.0,7.2,7.5,7.5,7.7,7.8,8.4,8.4,8.5

a)Mode : The most occurring number in the data is the mode

So, 7 is the mode of the data

b)

No. of observations = n = 19

[tex]Median = \frac{n+1}{2}\text{th term}\\Median = \frac{19+1}{2} \text{th term}\\Median = 10 \text{th term}\\Median = 7.0[/tex]

C)Range = Maximum - Minimum= 8.5 - 5.7 =2.8

Hence The mode is 7 , median is 7 and the range of data is 2.8

What is one difference in midsegments for triangles versus midsegments for trapezoids?

Answers

Answer:

Step-by-step explanation:

Midsegments of a triangle and a trapezoid are alike, because their endpoints, are the midpoints of the sides they touch. ... whereas, the length of a midsegment of a triangle is base/2.

The one difference in midsegments for triangles versus midsegments for trapezoids Midsegments of triangles and trapezoids are different because we can draw 3 of them in triangles, but only one in trapezoids.

What are triangles and trapezoids?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

A trapezoid, commonly referred to as a trapezium, is a quadrilateral or a polygon with four sides. It has a set of parallel opposing sides and a set of non-parallel sides. The bases and legs of the trapezoid are known as the parallel and non-parallel sides, respectively.

If a line through the midpoint of a leg of a trapezoid is parallel to its bases, then the line passes through the midpoint of the other leg.

The midsegment of a trapezoid is half the length of the two parallel sides.

The midsegment theorem states that a line segment connecting the midpoints of any two sides of a triangle is parallel to the third side of a triangle and is half of it.

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Please can u help me .

Answers

So what’s the question?
A)Here you add horizontal and vertical numbers when they meet on the table. Starting fourth row (second to last) the numbers are 5 7 7 8 10. Now in the fifth row (last) the numbers are 7 9 9 10 12.
B)based on the frequency of a number appearing, 7 is the most likely total store.

I do not understand 2 column proof in Geometry. PLEASE HELP

Answers

Answer:

A two-column geometric proof consists of a list of statements, and the reasons that we know those statements are true. The statements are listed in a column on the left, and the reasons for which the statements can be made are listed in the right column.

hope this helped :)

Two-column proof:

Two-segment geometric evidence comprises of a rundown of explanations, and the reasons that we realize those announcements are valid. The announcements are recorded in a segment on the left, and the purposes behind which the announcements can be made are recorded in the correct section. A scientific evidence might be composed utilizing a passage, two-sections, or utilizing a stream diagram. The two-section verification is the strategy we use to introduce a sensible contention utilizing a table with two segments. Significant data is generally given to help start a proof and is normally the beginning stage everything being equal.

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Natalia wants to attend Louisiana State University. One year at Louisiana State University costs approximately $24,000. She currently has $4,000 in savings. Natalia has received a one-time grant of $1,500 and an annual academic scholarship for $3,500. She plans to enroll in the work study program that will pay $12,000 annually for part-time work. How much will Natalia need to borrow in student loans in order to attend Louisiana State University for 4 years?

Answers

Answer:

He needs to borrow $28,500 to attend the University for 4 years.

Step-by-step explanation:

One year at the University costs $24,000. The total she has to pay are 4 * $24,000 = $96,000

minus the $4,000 she has in savings: $96,000 - $4,000 = $92,000

minus the $1,500 she received one time: $92,000 - $1,500 = $90,500

minus $3,500 per anual

           4* $3,500 = $14,000            

           $90,500 - $14,000 = $76,500

minus $ 12,000 per anual

            4 * $12,000 = $48,000

            $76,500 - $48,00 = $28,500

Ken started a savings account for school. He plans on spending 10% of the money he earns for leisure activities. He needs to have $2,160 in the bank before he starts school. how much must he earn to have the amount needed for school?

Answers

Answer:

$2,400

Step-by-step explanation:

Ken intends to start a savings account

10% = leisure spending

This means 90% = Expenses for school

Let us represent the amount he must save as : x

Hence in other for him to have $2,160 in his savings account, the amount Ken must earn is calculated as:

90/100 × x = $2,160

Cross Multiply

90x = $2,160 × 100

x = ($2,160 × 100) ÷ 90

x =$2,400

Therefore, the amount Ken has to earn to have the amount needed for school is $2,400

What type of number is 104i+27?

A) Real

B) Imaginary

C) Complex

Answers

Answer:

Complex

Step-by-step explanation:

104i + 27

This has a real component 27

and an imaginary component 104i

That makes this complex

Identify the parent function of f(x)=(x+3)3

Answers

Answer:

g(x) = x^3

Step-by-step explanation:

f(x)=(x+3)^3

The parent function is

g(x) = x^3

The function was shifted to the left 3 units from the parent function

f(x) = ( x- -3) ^3

f(x) = ( x+3) ^3

(parent function) f(x) = (x+3)3

whats the answer???​

Answers

Answer:

wtz i think is the answer. they are supplementary

Step-by-step explanation:

Answer:

WTZ

Step-by-step explanation:

Supplementary angles add to 180 degrees or form a straight line

WTV and WTZ make a straight line so  they are supplementary angles

Find the value of the expression 8x↑3 if: x=3

Answers

Answer:

216

Step-by-step explanation:

8x³

Put x as 3 in the expression.

8(3)³

Solve the power.

8(27)

Multiply.

= 216

3. What is the value of x + y?

Answers

Answer:

y = 50 x = 10.

Step-by-step explanation:

Let's solve for y first.

We know the line angle 80 and angle 2y-5 is on a 180 degree line.

Now we can do our work:

180 - 85 = 95

2y - 5 = 95

95 + 5 = 100

100 ÷ 2 = 50

2(50) - 5 = 95?

The equation is correct, therefore y = 50.

No we do the same thing for the other angles, 90 and 3x + 55.

Again, 180 line.

180 - 95 = 85

3x + 55 = 85

85 - 55 = 30

30 ÷ 3 = 10

3(10) + 55 = 85?

The equation is correct therefore x = 10.

Thus, y = 50 and x = 10.

Solve the system.
2x + y = 3
-2g = 14 – 6x
Write each equation in slope-intercept form.
Y = ___x + ___
Y = ___x + ___

Answers

Answer:

2 x + y - 3 = 0

2 g + 6 x - 14 = 0 2 g = -2 (3 x - 7)

x = 7/3 - g/3

Step-by-step explanation:

Solve for x:

2 g = 14 - 6 x

2 g = 14 - 6 x is equivalent to 14 - 6 x = 2 g:

14 - 6 x = 2 g

Subtract 14 from both sides:

-6 x = 2 g - 14

Divide both sides by -6:

Answer: |

| x = 7/3 - g/3

Answer:

y= -2 x + 3

y= 3 x + -7

The slops and they y-intercepts are different

Intersect at one point

Exactly one solution

Step-by-step explanation:

Edge 2022

PLEASE HELP ASAPPP!!! 15PT QUESTION!!! Suppose that a ball is rolling down a ramp. The distance traveled by the ball is given by the function s(t), where t is the time, in seconds, after the ball is released, and s(t) is measured in feet. For given function, find the ball’s average velocity from t1 to t2. s(t)=11t^2; t1=6, t2=6.5

Answers

Answer:

The average velocity of the ball is [tex]137.5 \:ft/sec[/tex]

Step-by-step explanation:

First find the velocities at given times and then form two points. Calculate the slope to find the average velocity. The two points are:

[tex]\left(6,\:396\right)\quad and \quad \:\left(6.5,\:464.75\right)[/tex]

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}=\frac{464.75-396}{6.5-6}[/tex]

[tex]m=137.5[/tex]

Best Regards!

Solve the equation. 1.25 =0.75+r

Answers

Answer:

0.50

Step-by-step explanation:

Do the opposite of addition

So 1.25 - 0.75

The solution to the equation 1.25 = 0.75 + r for r is r = 0.5

How to determine the solution to the equation for r

From the question, we have the following parameters that can be used in our computation:

1.25 = 0.75 + r

Add -0.75 to both sides of the equation

so, we have the following representation

-0.75 + 1.25 = 0.75 + r + -0.75

Evaluate the like terms on the right hand side

This gives

-0.75 + 1.25 = r

Evaluate the like terms on the left hand side

This gives

0.5 = r

Rewrite as

r = 0.5

Hence. the solution is 0.5

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Answers

Answer:

150

Step-by-step explanation:

[tex]30\% \times 500 \\ 0.3 \times 500 \\ = 150[/tex]

Answer: the answer is 150

Step-by-step explanation:

30% x 500

0.3 x 500

= 150

Please Help Me. Add (2x^2+4−x^3)+(−4x^2+6x^3−2) Express the answer in standard form. Enter your answer in the box.

Answers

Answer:

2x³ - 2x² - 2

Step-by-step explanation:

Step 1: Rewrite expressions

2x² - 4x³ - 4x² + 6x³ - 2

Step 2: Combine like terms

2x³ - 2x² - 2

Use the diagram to find the angle measures.
Find m∠1, m∠3, and m∠4 if m∠2=117°.
Find the measures of all four angles if m∠2+m∠4=220°.

Answers

Answer:

1.) m∠1 = 63 degree

m∠3 = 63 degree

m∠4 = 117 degree

m∠2 = 117 degree

2.) m∠1 = 70 degree

m∠3 = 70 degree

m∠4 = 110 degree

m∠2 = 110 degree

Step-by-step explanation:

Given that

1.) m∠2 = 117°.

In the figure, m∠1 is vertically opposite to m∠3, and m∠4 is vertically opposite to m∠2

Therefore, m∠2 = m∠4 = 117° ( because vertically opposite angle are equal)

Also, the sum of angles at a point is equal to 360 degrees

m∠2 + m∠4 = 234°

Take 234 away from 360. That is,

360 - 234 = 126

126/2 = 63 degrees.

Therefore, m∠1 = m∠3 = 63°

2.) If m∠2 + m∠4 = 220°

Subtract 220 from 360 since the sum of angles at a point is equal to 360 degrees

360 - 220 = 140

Divide 140 by 2 and also 220 by 2 to get

140/2 = 70 and 220/2 = 110

Therefore,

m∠1 = 70 degree

m∠3 = 70 degree

m∠4 = 110 degree

m∠2 = 110 degree

If f(x) = 3x + 10x and g(x) = 4x – 2, find (f + g)(x).

A. 3x – 6x + 2
B. 3x + 6x + 2
C. 17x – 2
D. 3x + 14x – 2

Answers

Answer:

a is answer correct i think

Step-by-step explanation:

What is the probability of rolling a dice and getting either a 1 or 2 and flipping a coin and getting a heads?

Answers

Answer:

1/3 and 1/2

Step-by-step explanation:

Answer: The fraction 1/6

This is approximately equal to 0.167

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

Explanation:

A = event of getting either a 1 or 2

P(A) = probability event A occurs

P(A) = 2/6 = 1/3, since there are two ways to get "1 or 2" out of six total

B = landing on heads

P(B) = 1/2, there are two sides and only one is heads

P(A and B) = probability getting a 1 or 2 and flipping heads on a coin

P(A and B) = P(A)*P(B) .... only possible if A and B are independent

P(A and B) = (1/3)*(1/2)

P(A and B) = (1*1)/(3*2)

P(A and B) = 1/6

The sum of seven times a number—
PLEASE HELP!

Answers

Answer:

x = 6

y = 4

Step-by-step explanation:

Let the two numbers be x and y

Condition 1:

7x+3y = 54 -----------(1)

Condition 2:

x = 2+y -----------------(2)

Putting (2) in (1)

=> 7(y+2)+3y = 54

=> 7y+14+3y = 54

=> 10y = 54-14

=> 10y = 40

Dividing both sides by 10

=> y = 4

Now putting y = 4 in eq(2)

=> x = 2+4

=> x = 6

Answer:

[tex]4\\6[/tex]

Step-by-step explanation:

[tex]7x+3y=54\\x=y+2[/tex]

[tex]7(y+2)+3y=54\\7y+14+3y=54\\10y+14=54\\10y=40\\y=4[/tex]

[tex]x=y+2\\x=4+2\\x=6[/tex]

which of the following is a qualitative statement that is reasonable based on the data? A The fewest number of cars at home is 0 B Most students have 2 or fewer cars at home C Most students have 3 or more cars at home D The median number of cars at home is 3

Answers

Answer:

B

Step-by-step explanation:

A group of tourists can be sorted into tour boats in groups of 4 or in groups of 6. In either case, there are no empty seats. Find the number of tourists if there are more than 25 and fewer than 45.

Answers

Answer: there are 36 tourists.

Step-by-step explanation:

Ok, we have two integer numbers:

T, the number of tourists and S, the number of seats.

Such that, if we divide the tourists into groups of 4 and in groups of 6, we end with no empty seats.

Knowing that the number S must be an integer, and when we divide T into groups of 4 and 6 we end with no empty seats, this means that T can be divided by 4 and by 6.

This means that T is a common multiple of 4 and 6

Now, we also know that 25 < T < 45.

Then let's see which ones are the multiples of 4 between 25 and 45.

4*7 = 28

4*8 = 32

4*9 = 36

4*10 = 40

4*11 = 44.

Now, the multiples of 6 in that range are:

6*5 = 30

6*6 = 36

6*7 = 42.

You can see that 36 is a common multiple, other way to see it is:

4*9 = (2*2)*(3*3) = 2*2*3*3 = (2*3)*(2*3) = 6*6

So the numer of tourist must be 36.

this graph shows the solution to which inequality? (3,2) (-3,-6)

Answers

Answer:

y > 4/3 x  - 2.

Step-by-step explanation:

First find the equation of the dashed line:

The slope (-6-2)/(-3-3)

= -8/-6

= 4/3.

y - y1 =m(x - x1)   where m = slope and (x1,y1) is a point on the line.

y  - 2= 4/3(x - 3)

y =  4/3(x - 3) + 2

y = 4/3 x  - 2

As the shading is above the line the answer is

y > 4/3 x  - 2.

Answer: A

Y>4/3x-2

Step-by-step explanation:

Two-step equations word problems. Please and thank you in advance!

Answers

Answer:

The equation is 3mx1/4t=9

Step-by-step explanation:

step 1) 3mx1/4t=9

step 2) 3m=36

step 3) there was 12 pieces of cake

These triangles ARE similar! Which reason proves it?
Circle one:
AA~
SSS~
SAS~
SHOW CALCULATIONS to verify they are similar!

Answers

Answer:

I would say AA

Step-by-step explanation:

try to separate the picture to see the bigger picture and you can do it.

Find the difference
[tex]( - {3x}^{3} - {7x}^{2} + 5x - 4) - ( {6x}^{2} - 8)[/tex]

Answers

Answer:

Step-by-step explanation:

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