Answer:
Yes, x + 12
Step-by-step explanation:
Simplify the following:
3 x - 2 x + 12
Grouping like terms, 3 x - 2 x + 12 = (3 x - 2 x) + 12:
(3 x - 2 x) + 12
3 x - 2 x = x:
Answer: x + 12
Answer:
Yes, it is.
Step-by-step explanation:
3x + 12 - 2x =
Use the commutative property of addition to change the order of the addition.
= 12 + 3x - 2x
Use the distributive property of addition over multiplication in reverse (which is factoring).
= 12 + x(3 - 2)
Do the operation: 3 - 2 = 1
= 12 + x * 1
Simplify x * 1 to just x.
= 12 + x
Use the commutative property of addition.
= x + 12
There you have x + 12 from 3x + 12 - 2x by using properties and operations.
find the equation of the line passes through the pints (-2,3) and (1,-4).
Answer:
[tex]3y+7x=-5[/tex] is the required equation.
Step-by-step explanation:
We have been given two points: (-2,3) and (1,-4)
We have a formula to find the equation with two points:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}\cdot (x-x_1)[/tex]
Here, we have:
[tex]x_1=-2,x_2=1,y_1=3,y_2=-4[/tex]
On substituting the values in the formula we get:
[tex]y-3=\frac{-4-3}{1-(-2)}\cdot (x-(-2))[/tex]
[tex]\Rightarrow y-3=\frac{-7}{3}\cdot (x+2)[/tex]
On further simplification:
[tex]3y-9=-7(x+2)[/tex]
[tex]\Rightarrow 3y-9=-7x-14[/tex]
After rearranging the terms
[tex]3y+7x=-14+9[/tex]
After final simplification we get:
[tex]3y+7x=-5[/tex]
Answer:
m=[tex]\frac{-7}{3}[/tex]
Step-by-step explanation:
Given:
(-2,3)(1,-4)
(x₁,y₁)(x₂,y₂)
m=(y₂-x₂)÷(y₁-x₁)
m=(-4 - 3) ÷ (1+2)
m= [tex]\frac{-7}{3}[/tex]
Lila decided to make more baked goods for the bake sale she used 1/8 lb less flour to make the bread then to make the cookies. She used 1/4 pound more flour to make cookies than to make brownies. If she used a half pound of flour to make bread how much flour did she use to make brownies
Answer:
The total [tex]\frac{3}{8}[/tex] lb flour is used to make brownies.
Step-by-step explanation:
Let x lb flour is used to make brownies.
She used 1/4 pound more flour to make cookies than to make brownies. So, the total flour is used to make cookies is
[tex]x+\frac{1}{4}[/tex]
she used 1/8 lb less flour to make the bread then to make the cookies. So, the total flour is used to make bread is
[tex]x+\frac{1}{4}-\frac{1}{8}[/tex]
It is given that she used a half pound of flour to make bread.
[tex]x+\frac{1}{4}-\frac{1}{8}=\frac{1}{2}[/tex]
[tex]x+\frac{2-1}{8}=\frac{1}{2}[/tex]
[tex]\frac{8x+1}{8}=\frac{1}{2}[/tex]
[tex]8x+1=4[/tex]
[tex]8x=3[/tex]
[tex]x=\frac{3}{8}[/tex]
Therefore total [tex]\frac{3}{8}[/tex] lb flour is used to make brownies.
which figure has an orthocenter outside the triangle ??
The orthocenter is only outside of a triangle when the triangle is obtuse. The only obtuse triangle shown is the 25-45-110 triangle.
The orthocenter is only outside of a triangle when the triangle is obtuse. The only obtuse triangle shown is the 25-45-110 triangle.
In a triangle, the orthocenter is the point where the altitudes of the triangle intersect.
Altitudes are lines drawn from each vertex of the triangle perpendicular to the opposite side.
In some cases, the orthocenter can be located outside of the triangle.
One example of a triangle where the orthocenter is located outside of the triangle is an obtuse triangle.
In an obtuse triangle, one of the angles is greater than 90 degrees.
When you draw the altitudes, they will intersect outside the triangle, forming the orthocenter.
For instance, consider a triangle with angle measures of 100 degrees, 40 degrees, and 40 degrees. When you draw the altitudes, you will find that they intersect outside the triangle. Thus, an obtuse triangle can have an orthocenter located outside of the triangle.
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Erica babysits for 4.5 hours and is paid $27. If the people she babysits for have $34 to pay her, how long can they stay out?
Find the algebraic equation
Answer:
5 hours 40 minutes can they stay out.
An algebraic equation, y =6x
Step-by-step explanation:
Unit rate defined as the rates are expressed as a quantity of 1, such as 3 feet per second or 6 miles per hour, they are called unit rates.
Let x represents the hours and y represents the cost.
As per the statement: Erica babysits for 4.5 hours and is paid $27.
Unit rate per hour(m) = [tex]\frac{27}{4.5}= $6[/tex]
Line of equation with no intercept is given by:
y = mx .....[1]; where m represents the slope or unit rate.
Also, it is given if the people she babysits for have $34 to pay her.
⇒ y = $34
substitute the given values in [1] to solve for x;
[tex]34 = 6 \times x[/tex]
Divide both sides by 6 we get;
[tex]x = \frac{34}{6} = 5\frac{4}{6}[/tex] hours
or
x = 5 hours 40 minutes
Therefore, 5 hours 40 minutes can they stay out.
Also, algebraic equation: y =6x
Write the percent as a fraction or mixed number in simplest form. 72.5
The fraction form of the given expression is 29/40.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
The expression in the percentage form is given as 72.5%.
Divide by 100 to obtain fraction as,
72.5%
= 72.5/100
= 725/1000
= 29/40
Hence, the given expression can be written in fraction as 29/40.
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30 POINTS! Please help with this goemtery question.
Answer:
(28*12)-(18*5) or 246 meters squared
Step-by-step explanation:
It is actually easy really, all you have to do is find the area of the larger polygon (28*12) or 336 and subtract the smaller polygon (18*5) or 90 and subtract it from the larger polygon getting you 246 meters squared
Which expression represents the difference of (8x-5y) and (2x-y)?
A. 10x - 9y
B. 10x - 8y
C. 6x - 4y
D. 6x - 6y
Answer:
C. 6x - 4y
Step-by-step explanation:
Difference means subtract
8x-5y - (2x-y)
Distribute the minus sign
8x-5y - 2x+y
Combine like terms
6x-4y
Answer:
C
Step-by-step explanation:
The slope of a roof is called its pitch. The parthenon, an ancient greek temple, has a roof with a rise of 3.6 meters and a run of 12 meters. What is the pitch of the roof
Answer:
The answer is 0.3.
Of maceo’s $750 salary,he puts 10% in his savings account,1/8 towards rent,and 1/3 for food. How much of his salary was left (in dollars) for other expenditures
Answer:
413.44 but the whole decimal is 413.4375
Step-by-step explanation:
first I turned the fractions into percents...
1/3- 30% and 1/8- 12.5
$750-10%= $675
675-12.5%= 590.63 (or 590.635)
590.63-30%= 413.441
Hope it helps some!
If 2 is added to the square of an integer, the result is 7 less than 10 times that integer. Find the integer(s). (Enter your answers as a comma-separated list. Simplify your answer completely.)
Final answer:
The integers that satisfy the given condition of the equation x^2 + 2 = 10x - 7 are 1 and 9. To find these integers, the quadratic equation x^2 - 10x + 9 = 0 was factored and solved.
Explanation:
To find the integer(s) that satisfies the given condition, we need to set up an equation based on the description. The condition states: if 2 is added to the square of an integer x, the result equals 10 times that integer minus 7. Mathematically, this can be expressed as x2 + 2 = 10x - 7. To solve this, first rearrange the terms to one side to form a quadratic equation:
x2 - 10x + 9 = 0
Now we factor the quadratic equation:
(x - 1)(x - 9) = 0
Setting each factor equal to zero gives us the solutions:
x - 1 = 0 ⇒ x = 1
x - 9 = 0 ⇒ x = 9
The integers that satisfy the given condition are 1 and 9.
The largest possible circle is cut out of a square whose side length is 12 feet. What will be the approximate area, in square feet, of the remaining board?
Answer:
31 ft²
Step-by-step explanation:
(1) Area of square
A = l²
A = 12²
A = 144 ft²
=====
(2) Area of circle
A = πr²
A = π × 6²
A = π × 36
A = 113 ft²
=====
(3) Remaining area
A = 144 – 113
A = 31 ft²
The area of the remaining board is 31 ft².
Answer:
Step-by-step explanation:
30
Arrange the fractions in order, beginning with the smallest. 9/7,2/9,2/7,2/3
Hope this helps!
2/9, 2/7, 2/3, 9/7
Answer:
2/9, 2/7, 2/3, 9/7
Step-by-step explanation:
9th are smaller than 7th so 2/9 goes first.
7th are smaller than thirds so 2/7 goes second
9/7 is an improper fraction so it is more than one, so 2/3 goes third
Then 9/7
What is the product? 3 1/2 × 2 2/3
Answer:
56/6
Step-by-step explanation:
3 1/2 * 2 2/3
first evaluate 3 1/2 = (6+1)/2=7/2
so for that multiply 2 * 3 and +1 and divide by 2
second evaluate 2 2/3 = (6+2)/3 = 8/3
now the product = 7/2 * 8/3 = (7*8) / (2*3) = 56 / 6
Name three other common mutiples or 8 and 12.
Answer:
24
48
72
96
Step-by-step explanation:
I just know
In March Delphine’s house had 40% more snowfall than in February. Delphine’s house has F centimeters of snowfall in February
Answer: In March Delphine's house has 1.4*F centimeters of snow.
Step-by-step explanation:
We know that in March, the snow was 40% more than in Februray.
First we need to write 40% in decimal form, for this we divide it by 100%
40%/100% = 0.4
Now, in Februray Delphine's house has F centimeters of snow.
If F corresponds to the 100%, 0.4*F corresponds to the 40%
Now, in march we have a 140% of snow, this is:
Snow = F + 0.4*F = 1.4*F
In March Delphine's house has 1.4*F centimeters of snow.
Trying to figure out 5n + 6 + (7n)
I have it written out but Im affraid it's wrong
Answer:
12n +6
Step-by-step explanation:
5n + 6 + (7n)
The first step is to combine like terms
I put the like terms next to each other.
5n + 7n +6
12n +6
98 POINTS AND BRAINLIEST FOR FASTEST AND RIGHT ANSWERS!!! 4 MULTIPLE CHOICE QUESTIONS!!!
A company did a quality check on all the packs of trail mix it manufactured. Each pack of trail mix is targeted to weigh 9.25 oz. A pack must weigh within 0.23 oz of the target weight to be accepted. Find the absolute value inequality that describes the situation and solve it to find the range of rejected masses, x.
|x − 0.23| + 9.25 > 0; x < 9.02 or x > 9.48
|x − 9.25| > 0.23; x < 9.25 or x > 9.48
|x − 0.23| + 9.25 > 0; x < 9.25 or x > 9.48
|x − 9.25| > 0.23; x < 9.02 or x > 9.48
Almond trees yield 12 pounds per acre and macadamia nut trees yield 8 pounds per acre. Suppose Pippa's farm has a acres of almond trees, m acres of macadamia nut trees, and yields 250 pounds of nuts. What is the equation that represents this scenario?
8a + 12m = 250
20n = 250
12a + 8m = 250
a + m = 250
One of the fastest recorded speeds of an alligator on land is 8.8 m/s. Approximately, what is this speed in kilometers per hour? [1 kilometer = 1,000 meters] [1 hour = 60 minutes = 3,600 seconds]
2.444 km/h
6.336 km/h
31.68 km/h
0.244 km/h
In a certain county, the number of charter schools is 4 less than twice the number of alternative schools. We know that there are 48 charter schools in the county. How many alternative schools are in the county?
52
22
36
26
(RIGHT ANSWERS ONLY PLEASE!!!)
Answer:
Problem 1. Answer: D
Problem 2. Answer: A
Problem 3. Answer: C
Problem 4. Answer: D
Step-by-step explanation:
Problem 1:
A pack is targeted to weigh 9.25 oz.
A pack can be up to 0.23 oz off, either over or under weight.
The pack cannot weigh less than 9.25 oz - 0.23 oz or more than 9.25 oz + 0.23 oz.
The following compound inequality represents the rejected weights.
x < 9.25 - 0.23 or x > 9.25 + 0.23
Subtract 9.25 from both sides of both inequalities.
x - 9.25 < -0.23 or x - 9.25 > 0.23
Change to an absolute value inequality.
|x - 9.25| > 0.23
x - 9.25 < -0.23 or x - 9.25 > 0.23
x < 9.02 or x > 9.48
Problem 2:
Almond trees produce 12a
Macadamia nut trees produce 8m
Yield is 250
12a + 8m = 250
Problem 3:
8.8 m/s converted into km/h
1000 m = 1 km
60 sec = 1 min
60 min = 1 hr
8.8 m/s * (1 km)/(1000 m) * (60 s)/(1 min) * (60 min)/(1 hr) =
= 31.68 km/h
Problem 4.
Let number of alternative schools be a.
Let number of charter schools be c.
"the number of charter schools is 4 less than twice the number of alternative schools"
c = 2a - 4
There are 48 charter schools, so c = 48. Now we solve for a.
48 = 2a - 4
52 = 2a
a = 26
Answer:
Do the MAth yourself
Step-by-step explanation:
PLEASE I REALLY NEED HELP ITS MY LAST QUESTION
Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task,
Let X represent the entry fee and Y represent the cost of each ticket in dollars.
how much Gwen paid.
y = 10x + 30
how much Tristan paid.
y = 15x + 40
how much Keith paid.
y = 10x + 30
Which two equations could you use as a system to find the cost of the entry fee and the cost of each ticket? Why?
You could use Gwen and Keith’s equations because there the same equation.
PLEASE ANSWER THIS:
Did you use elimination or substitution? What was the entry fee, and how much did each ticket cost? (You would use substitution)
I need help fast please help me!!!
Answer:-3 less than -1
Step-by-step explanation: -3 is less than -1
How many significant digits does the measurement 2000 feet have
The range of relation is
Answer:
A
Step-by-step explanation:
The range is the set of y values, that is the output
13. Rich is driving from Philadelphia to Pittsburgh at 70 mph and Michelle is driving from Pittsburgh to Philadelphia at 65 mph. If Philadelphia and Pittsburgh are 305 miles apart how long will it take Rich and Michelle to meet?
Answer:
It would be 2 hours and 15 minutes
Step-by-step explanation:
Answer:2.26 hours
Step-by-step explanation:
Given
Rich is driving from Philadelphia to Pittsburgh at 70 mph
and Michelle speed is 65 mph
If Philadelphia and Pittsburgh is 305 miles apart
Let Rich travels x miles in t time
therefore
Michelle travels 305 -x
[tex]\frac{x}{70}=\frac{305-x}{65}[/tex]
[tex]13x=14\times 305 -14x[/tex]
27x=4270
[tex]x=\frac{4270}{27}[/tex]
[tex]x=158.148\approx 158.15 miles[/tex]
time taken t[tex]=\frac{158.15}{70}=2.259 \approx [/tex] 2.26 hours
One high speed internet provider and has a $30 setup fee and charges $40 per month. Another provider has a $60 setup fee and charges $30 per month. In how many months will the cost be the same?
I NEED HELP ASAP!! BRAINIEST ANSWER!!!! SOMEONE PLEASE HELP ME!!!
14. List the sides of triangle ABC in order least to greatest.
A) AC, BC, AB
B) AC, AB, BC
C) AB, AC, BC
D) AB, BC, AC
15. The sides of a triangle are 5, 12, and n. Write an inequality that expresses the interval of values that n may have.
A) 5<n<12
B) 5<n<17
C) 7<n<17
D) 7<n<12
16. What are the names of three collinear points?
A) Points V, U, and T are collinear
B) Points Z, U, and Y are collinear
C) Points Z, U, and T are collinear
D) Points X, U, and Y are collinear
Problem 14 and problem 16 are missing the diagrams needed to answer the questions. Thankfully, there is enough info for me to answer problem 15, which I'll do so below.
------------------------------
If we have a triangle with side lengths a,b,c then we can write this compound inequality
b-a < c < b+a
If we knew the value of a and b, then we can find a range for c.
In our case, a = 5, b = 12, c = n, so,
b-a < c < b+a
12-5 < n < 12+5
7 < n < 17
The value of n is between 7 and 17. The value of n cannot equal 7, and it also can't equal 17 either.
------------------------------
Final Answer for problem 15 is choice C) 7 < n < 17
The ratio of boys to girls in a group is 5:3. If there are 10 more boys than girls, work out how many people there are in total.
Answer:
40 students
Step-by-step explanation:
Lets multiply:
5:3 = 10:6 = 20:12 = 25:15
Since 25 is 10 more than 15, these are the actual numbers we need.
25 + 15 = 40 students.
Answer:
If the ratio is 5:3 boys to girls and there are 10 more boys than girls, there would be 15 girls and 25 boys, for a total of 40 people.
Step-by-step explanation:
To solve the ratio, we need to set up a proportion and assign a variable to solve for. In this case, we can make 'x' the number of girls and 'x+10' the number of boys. We know that the ratio of boys to girls is 5 to 3, so we can set up a proportion where 5/3 = (x+10)/x. In order to solve a proportion, we would cross-multiply and divide in order to get a two-step equation to solve for the variable. When we cross-multiply, we get 5x=3(x+10), or 5x=3x + 30. Using inverse operations, first subtracting the '3x' from both sides to get 2x=30, and then dividing both sides by 2 to get x=15. Remember, that 15 represents the number of girls. The number of boys is equal to 'x+10' or 15 +10=25. Then the total number of people is 15+25=40.
what is the geometric mean of 2 and 8?
Answer:
The geometric mean of 2 and 8 comes out to equal 4.
Step-by-step explanation:
The sum of two numbers is 21 and their differences is 5. What are the numbers?
Answer:
8 and 13
Step-by-step explanation:
8+13 = 21
13-8 = 5
A radio station uses 1/6 of it's time for the news. In a 24 hour day, how many are used for music and entertainment? Wouldn't it be 20 hours for music and entertainment?
Wouldn't it be 20 hours?
Since they used 4 hours for news, so 24 - 4 = 20 for music and entertainment?
Someone else is telling me it's 4 hours but I'm confused on their reasoning.
Calculate the plane surface of cylinder having the curved surface area 1848sq.cm and sum of radius and height 35cm
Answer:
Area of plane surface of cylinder = 2772 sq.cm.
Step-by-step explanation:
Let r be the radius and h be the height of the cylinder.
Curved Surface Area = 1848 sq.cm
2πrh = 1848
2×[tex]\frac{22}{7}[/tex]×rh = 1848
rh = 1848 × [tex]\frac{7}{22}[/tex] × [tex]\frac{1}{2}[/tex]
rh = 294
Sum of radius and height = 35
r + h = 35 --- (1)
Now,
r - h = [tex]\sqrt{(r+h)^{2}-4rh }[/tex]
= [tex]\sqrt{35^{2}-4(294) }[/tex]
= [tex]\sqrt{1225-1176}[/tex]
= [tex]\sqrt{49}[/tex]
= 7
r - h = 7 --- (2)
Adding (1) and (2),
2r = 42
r = 21 cm.
Area of the plane surface = 2 × π[tex]r^{2}[/tex]
= 2 × [tex]\frac{22}{7}[/tex] × 21 × 21
= 2772 sq.cm.
To calculate the plane surface area of a cylinder, subtract the area of the two circular bases from the curved surface area. Use the given formula and equations to find the radius and height, then calculate the area of one circular base. Finally, subtract the area of the bases from the curved surface area to find the plane surface area.
Explanation:To calculate the plane surface area of a cylinder, we need to subtract the area of the two circular bases from the curved surface area.
The formula for finding the curved surface area of a cylinder is given as:
CSA = 2πrh
So, the curved surface area is 1848 cm² and the sum of the radius and height is 35 cm. We can use these values to find the radius and height of the cylinder.
Solving the equation 2πrh = 1848 and r + h = 35 simultaneously will give us the values of r and h.
Once we have the values of r and h, we can calculate the area of one circular base using the formula Area = πr². Finally, we can calculate the plane surface area by subtracting the area of the two circular bases from the curved surface area.
Question 2(Multiple Choice Worth 5 points) (05.01)A poster is shown below: A rectangle is shown. The length of the rectangle is labeled 12 feet. The width of the rectangle is labeled 3 feet. What are the dimensions if the poster is enlarged by a factor of five over two ?
Answer:
The enlargement will be 30 ft by 7.5 ft.
Step-by-step explanation:
A scale drawing is a larger or smaller version of an object. To find the dimensions of the new drawing, multiply each measurement by the scale factor. The scale factor here is 5/2 or 2.5.
12(2.5)=30 ft
3(2.5)=7.5 ft