Answer:
The sentence in mathematical form is: [tex]5x+10 = x-6[/tex]
Step-by-step explanation:
The given statement can be converted into a mathematical equation step by step.
First of all, we have to suppose a variable for the number as we don't know the exact number.
So,
Let x be the number then
five times a number => 5x
The sum of 10 and five times a number => 5x+10
the difference of the number and 6 => x-6
Putting in equation form we get
[tex]5x+10 = x-6[/tex]
Hence,
The sentence in mathematical form is: [tex]5x+10 = x-6[/tex]
How do i find lines AC, BD, and EC?
Answer:
All equal 11
AC=11
BD=11
EC=11
Step-by-step explanation:
The shape is a square and all sides of a square have the same length. The marks ‘II’ means that they are all parallel.
What is y? (look at the picture I attached, thank you!)
Answer:
[tex]y = \frac{19}{5} [/tex]
Step-by-step explanation:
[tex] \frac{2y - 4}{y + 7} = \frac{1}{3} [/tex]
or, 3(2y-4) = 1(y+7)
or, 6y-12 = y +7
or, 6y-y = 7+12
or, 5y = 19
or, y = 19/5
Answer:
y=19/5
Step-by-step explanation:
Hope this helps!
Please help i need submit it in 10 mins! show work! i will mark brainliest!
Answer:
C and D is the answer.
Step-by-step explanation:
If m∠5 = x°, according to the Corresponding Angle Theorem, m∠9 will equal the same, and because 9 and 12 are vertical angles, both of these will be the same measure.
The high school band sells cured hams for a fundraiser. The first week of the
fundraiser, the club sells 8 cases of hams. Each case contains 10 hams. The goal is to
sell at least 20 cases. During the second week of the fundraiser, the club meets its
goal. Which graph of the inequality can be used to find the possible number of hams
sold the second week?
Answer:
ITS THE SECOND ONE
Step-by-step explanation:
Write the algebraic notation for dilation with a scale factor of ½
Answer: (x, y) goes to (1/2x, 1/2y)
Step-by-step explanation:
Find the LCM of 3, 5, and 20.
Plz help
Answer:
60
Step-by-step explanation:
3×20 is 60, and it works with 5, and it is the smallest possible Multiple
Answer:
60
Step-by-step explanation:
Find the prime factorization of each number:
3 = 3
5 = 5
20 = 2^2 * 5
LCM = product of common factors with greatest exponent and non-common factors.
LCM = 3 * 5 * 2^2 = 15 * 4 = 60
x2 - 4x + ______________________
Answer:
4
Step-by-step explanation:
You would complete the square by dividing the b value by 2, and then squaring it. In this case, the b value is -4. You would divide -4 by 2 and get -2. Now, you would square -2, and you would get 4.
Find the area of the square.
3
3-m
m2
Help please ASAP
Answer:
7 is the answer hope it will help you
Answer:
l = 12.25 m²
Step-by-step explanation:
Here, l = 3½ m = 3.5m
∴ Now, The area of a square is
= l²
= (3.5)² m
= 12.25 m²
Thus, The area of a square is 12.25 m²
-TheUnknownScientist
Find the values of the variables :)
Answer:
x = 6 , y = 4 , 2 units
Step-by-step explanation:
2y - 6 = y - 2 ⇒ y = 4
3x - 16 = y - 2
3x - 16 = 4 - 2
3x = 18 ⇒ x = 6
Length of sides of square is 2 units
What is 3w=6
W=
Pls help
Answer:
The answer is 2.
Step-by-step explanation:
hope that helps
3w=6
divide by 3 both side
3w÷3=6÷3
W=2
The focus of a parabola is [tex](0, 2)[/tex], and its directrix is the vertical line [tex]x=-6[/tex]. Identify the axis of symmetry, the vertex, and the direction the parabola opens.
Answer:
[tex]\huge\boxed{\text{Axis of Symmetry: } y = 2}[/tex]
[tex]\huge\boxed{\text{Vertex: } (-3, 2)}[/tex]
The parabola opens to the right (horizontally)Step-by-step explanation:
We need to note a few basic rules about focuses and directrix’s of a parabola.
1. The directrix never touches the parabola, however it is perpendicular to the axis of symmetry
2. The focus never touches the parabola, however it lies on the axis of symmetry of the parabola
3. The directrix is always the same distance away from the vertex as the focus
If we know that the focus of the parabola is (0, 2) and the directrix lies on x=-6. that means these points are 6 units apart as we can assume the line x = -6 crosses the point (-6, 2), making these points 6 units apart (since |-6 - 0| = 6)
These are 6 points apart horizontally, via the x-axis, meaning that this is a horizontally facing parabola, and it opens to the right. We know it can’t open to the left because then the directrix (x = -6) would touch the parabola and then it wouldn’t be a directrix!
The vertex of the parabola will be the same distance away from the focus and the directrix. Since these are 6 units apart, that means the focus will lie [tex]6 \div 2 = 3[/tex] units away from either one.
Halfway between 0 and -6 is -3, so we know the vertex lies on x-coordinate -3. We also know that the focus is on y-value 2, meaning that the vertex will also be on y = 2, since the focus is always on the axis of symmetry.
So our vertex is at [tex](-3, 2)[/tex].
We know that this is a horizontally facing parabola, meaning that our axis of symmetry is going to lay on a y coordinate. The axis of symmetry always contains the vertex, so that means that we can just take the y value of the vertex and use that as the axis of symmetry. The vertex lies at y value 2, meaning that the axis of symmetry is [tex]y=2[/tex]
In conclusion
The vertex is at [tex](-3, 2)[/tex] The axis of symmetry is at [tex]y=2[/tex] The parabola opens to the right (horizontally)Hope this helped!
One out of 3 gym members say they spent 5 hours per week at the gym. If there are 150 people working out at the gym, how many will most likely spend 5 hours at the gym this week?
Answer: 50
Step-by-step explanation:
From the question, we are informed that 1/3 of gym members say they spent 5 hours per week at the gym.
Assuming there are 150 people working out at the gym, the number of people that'll most likely spend 5 hours at the gym this week will be calculated by multiplying 1/3 by 150. This will be:
= 1/3 × 150
= 50 people
Omar wants to purchase a new bicycle for $134.45 and helmet for $22.55.
If the sales tax rate is 8%, what will be the total amount of sales tax?
Answer:
12.56
Step-by-step explanation:
143.45+22.55=157.00
157×.08= 12.56
24xy-10y-18x from 13xy+12y+14x with explanation
Answer:
24xy+2y−234x2fromy+14x
Step-by-step explanation:
24xy−10y−(18×13)xxfromy+12y+14x
24xy−10y−234xxfromy+12y+14x
24xy−10y−234x2fromy+12y+14x
24xy+(−10y+12y)−234x2fromy+14x
Solve.
4 - 2x = 10
A)-7
B)-3
C)0
D)3
Answer: The answer should be B) -3. To solve the equation you have to rewrite the equation.
Please help ! Super easy
Answer:
I am not certain but I think division
Answer:
I think you use division to get rid of them.
Step-by-step explanation:
Hope this helps
Jackie rode her bike around McAllister Park last week. The trail is 8.54 miles long. If she rode around the park 4 times last week, how many miles did she travel in all?
Answer:
34.16 Miles Traveled
Step-by-step explanation:
If she rode around the 8.54 mile park four times you would multiply four by 8.54 to get your answer. Hope this helps!
• You have given an equal sided triangle with side length a. A straight line connects the center of the bottom side to the border of the triangle with an angle of α. Derive an expression for the enclosed area A(α) with respect to the angle (see drawing).
9514 1404 393
Answer:
[tex]A(\alpha)=\left\{\begin{array}{ccc}\dfrac{a^2\sqrt{3}\sin{(\alpha)}}{16\sin{(\alpha+\dfrac{\pi}{3})}}&\text{if $\alpha\le\dfrac{\pi}{2}$}\\\\\dfrac{a^2\sqrt{3}}{4}\left(1-\dfrac{\sin{(\alpha)}}{4\sin{(\alpha-\dfrac{\pi}{3})}}\right)&\text{if $\alpha>\dfrac{\pi}{2}$}\end{array}\right.[/tex]
Step-by-step explanation:
If we place the bottom center at the origin and make the sides of the triangle 2 units, then the right side can be described by the equation ...
y = √3(1 -x)
and the terminal side of the angle α can be described by ...
y = tan(α)·x
We want the height of the shaded area, which is the y-coordinate of the point of intersection of these two lines.
y = √3(1 -y/tan(α)) . . . . substituting for x
y = √3·tan(α)/(√3 +tan(α)) . . . . solved for y
Since we have defined the base of the shaded area to be 1, the shaded area is half this value, or ...
A(α) = (√3/2)tan(α)/(√3 +tan(α))
Further manipulation can put this in the form ...
A(α) = (√3/4)sin(α)/sin(α+π/3) . . . . for α ≤ π/2, side length 2
__
For α > π/2, we need to subtract the area A(π-α) from the area of the whole triangle. This gives an area (after some rearranging) of ...
A(α) = √3(1 -sin(α)/(4·sin(α-π/3))) . . . . for α > π/2, side length 2
__
The problem statement defines the triangle as having a side length of 'a', so the final area formula will be a factor of (a/2)² times the above expressions. That is ...
[tex]A(\alpha)=\left\{\begin{array}{ccc}\dfrac{a^2\sqrt{3}\sin{(\alpha)}}{16\sin{(\alpha+\dfrac{\pi}{3})}}&\text{if $\alpha\le\dfrac{\pi}{2}$}\\\\\dfrac{a^2\sqrt{3}}{4}\left(1-\dfrac{\sin{(\alpha)}}{4\sin{(\alpha-\dfrac{\pi}{3})}}\right)&\text{if $\alpha>\dfrac{\pi}{2}$}\end{array}\right.[/tex]
_____
The graph (second attachment) shows the area as a function of α (in degrees) for a unit triangle. There are inflection points in the curve at 30°, 90°, and 150°
(SHOW YOUR WORK) 67.5+23.57
The sum of the two shorter sides of a triangle must be greater than the longer side. the shorter side of a triangle is 8 inches and the longest side is 18 inches. how long must the third side of a triangle be?
The formula for the volume of a cylinder is V = arh.
Solve v = 12h for h, the height of the cylinder.
Answer:
A
Step-by-step explanation:
You would divide it by pie r squared to get h then flip the equation around so it would be
h= v/ pie r squared
Answer:
A) H= V/ π r^2Explanation
V = π r^2 H
V = π × r × r × H
V/ π r^2 = H
H = V/π r^2
At the beginning of spring, Samantha planted a small sunflower in her backyard. When it was first planted, the sunflower was 20 inches tall. The sunflower then began to grow at a rate of 1 inch per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after w weeks?
Answer:
24 inches
Step-by-step explanation:
Estimate 8 x 342 Jehhdhd
Answer:
2,736
Step-by-step explanation:
Carson just lit a new candle and then let it burn all the way down to nothing. The
candle burned at a rate of 1.25 inches per hour and its initial length was 10 inches.
Make a table of values and then write an equation for L, in terms of t, representing
the length of the candle remaining unburned, in inches, t hours after the candle was
lit.
Number of Hours Burning Length of Candle Remaining (Inches)
0
10
1
1
2
3
Answer:
Step-by-step explanation:
L = 10 - 1.25t
t = 1 ⇒ L = 10 - 1.25 = 8.75 inches
t = 2 ⇒ L = 10 - 1.25(2) = 7.5 inches
t = 3 ⇒ L = 10 - 1.25(3) = 6.25 inches
77 is 56% of what number
Answer:
137.50
Step-by-step explanation:
please give branliest
Answer:
137.5 I think I might be wrong..
Simplify: (2a)(-5b)
?
Answer:
-10ab
Step-by-step explanation:
(2a)(-5b)
Multiply the constants
2* -5 = -10
Multiply the variables
a*b = ab
Combine
-10ab
The expression -10ab represents the product of 2a and -5b
To simplify the expression (2a)(-5b), we can multiply the coefficients and combine the variables.
Multiplying the coefficients, 2 and -5, gives us -10.
For the variables, we multiply the like terms, which in this case are 'a' and 'b'. When we multiply 'a' and 'b', we simply write them side by side: ab.
Therefore, simplifying (2a)(-5b) results in -10ab.
The expression -10ab represents the product of 2a and -5b, combining the coefficients and variables into a single term. It is important to note that the order of the variables, 'a' and 'b', is maintained in the simplified form.
Learn more about expression here
https://brainly.com/question/11570526
#SPJ6
Is the ratio 4 to 7 the same as 7 to 4 ?
Answer:
uhhhhh Expressed as a fraction, with the numerator equal to the first quantity and the denominator equal to the second, the answer would be 7/4. Two other ways of writing the ratio are 7 to 4, and 7:4.
Step-by-step explanation:
just math
Answer:
Yes because it doesn´t matter how you write a ratio
Step-by-step explanation:
Because it doesn´t matter how you write a ratio
A store has clearance items that have been marked down by 45%. They are having a sale, advertising an additional 35% off clearance items. What percent of the original price do you end up paying?
Answer:
35.75%
Step-by-step explanation:
Given that:
Markdown % = 45%
Additional percentage off = 35%
45% markdown :
100% - 45% = 55% of item price will be paid.
Furthermore,
35% additional discount :
100% - 35% = 65% of item price will be paid
Hence, percentage of original price paid:
(55% * 65%) = 0.3575
= 35.75% of the original price is paid
16+(18+10)=(x+18)+10
Answer: x=16
Step-by-step explanation: 16 + 18 + 10 = 44
44 = x + 28
16 = x
please help!! thank you
Answer:
28/15
Step-by-step explanation:
17/5 x 2/3 28/15
Answer:
The answer is 34/15
Step-by-step explanation:
Convert the mixed number to an improper fraction - 17/5Then multiple 17/5 and 2/3 and you get 34/15If you don't know how to change mixed numbers you multiple the denominator and the number on the outside. After you get the answer you add the numerator to the sum.