Answer:
can you help me with my answer when your done on my page? vvvvv
Step-by-step explanation:
1. **Separating 90 into Two Parts:**
- The smaller part is [tex]\( 18 \)[/tex] and the larger part is [tex]\( 72 \)[/tex].
2. **Sum of Three Consecutive Integers:**
- The three integers (in order) are [tex]\( 17, 18, \)[/tex] and [tex]\( 19 \)[/tex].
1. **Separating 90 into Two Parts:**
- Let's denote the smaller part as [tex]\( x \)[/tex] and the larger part as [tex]\( 4x \)[/tex].
- According to the problem, the sum of these two parts equals 90: [tex]\( x + 4x = 90 \)[/tex].
- Combine like terms: [tex]\( 5x = 90 \)[/tex].
- Divide both sides by 5 to solve for [tex]\( x \): \( x = 18 \)[/tex].
- So, the smaller part is [tex]\( 18 \)[/tex] and the larger part is [tex]\( 4 \times 18 = 72 \)[/tex].
2. **Sum of Three Consecutive Integers:**
- Let's denote the smallest integer as [tex]\( x \)[/tex].
- The next two consecutive integers would be [tex]\( x + 1 \)[/tex] and [tex]\( x + 2 \)[/tex].
- According to the problem, the sum of these three integers equals 54: [tex]\( x + (x + 1) + (x + 2) = 54 \)[/tex].
- Combine like terms: [tex]\( 3x + 3 = 54 \)[/tex].
- Subtract 3 from both sides: [tex]\( 3x = 51 \)[/tex].
- Divide both sides by 3 to solve for [tex]\( x \): \( x = 17 \)[/tex].
- So, the three consecutive integers are [tex]\( 17, 18, \)[/tex] and [tex]\( 19 \)[/tex].
The complete question is here:
Separate 90 into two parts so that one part is four times the other part. What are the sizes of the two parts? The smaller part is _____ and the larger part is ____.
The sum of three consecutive integers is 54. Find the three integers. The three integers (in order) are ____, ____, and ____.
what is the y-intercept for the equation 3x+5y=30?
Answer:
the y-intercept is -6
Step-by-step explanation:
3x+5y=30
-5y -5y
(30-)3x=30-5y(-30)
3x-30=5y/y
3/5x-6=y
URGENT HELP NEEDED!!!
Answer:
60
Step-by-step explanation:
There are 5 different ways to choose the first class.
There are 4 classes left to choose from.
There are 4 different ways to choose the second class.
There are 3 classes left to choose from.
There are 3 different ways to chooses the third class.
5*4*3 = 60
The product of three consecutive numbers is 990. What is the sum you f the 3 whole numbers?
Answer:
20
Step-by-step explanation:
If the three numbers are x, x+1, and x+2, then:
x (x+1) (x+2) = 990
x (x² + 3x + 2) = 990
x³ + 3x² + 2x - 990 = 0
(x - 9) (x² + 12x + 110) = 0
Since x must be a whole number, x = 9. You can also use simple trial and error to find that the three numbers are 9, 10, 11.
The sum is:
9 + 10 + 11 = 20
Factorise completely
200y²-18x²
Answer: 2(10y+3x)(10y-3x)
Step-by-step explanation:
2(100y²- 9x²)
2[ (10y+3x)(10y-3x) ]
PLEASE HELP 14 POINT QUESTION
Answer:
Green: 5/9 Red:2/9
Step-by-step explanation:
(1/9)^2n=27n what is the answer
Answer:
n=+ -0.0321563225311
6. Simplify:
(1) (37 - (-8)]+[11 - (-30)]
Plz answer
Answer:
86
Step-by-step explanation:
Since something minus a negative is just adding, we get 37-(-8)=37+8 or 45. We can do the same with 11-(-30) which is 11+30 or 41. So 45+41=86
Answer:
86.
Step-by-step explanation:
Work out the 'inner' parentheses first:
(37 - (-8)] + [11 - (-30)]
= (37 + 8) + (11 + 30)
Now the outer parentheses:
= 45 + 41
= 86.
Is 9, 12, 15 the lengths of the sides of a right triangle? (Show work)
Hello There!
To find out if these lengths make a triangle, you have to add up any two sizes and they must be greater than the third side for it to form a triangle.
Let's Test It!
"9+12=21" 21 is greater than 15
"9+15=24" 24 is greater than 12
Yes This Does Form A Triangle!
Answer:
Yes, the triangle lengths 9, 12, and 15 are lengths of the sides of a right triangle.
Step-by-step explanation:
There are multiple different ways to prove that this answer is correct.
To begin, we could recognize that these side lengths are a Pythagorean triple, or multiples of side lengths that satisfy the Pythagorean theorem, and thus prove that the lengths constitute a right triangle. In this case, 9, 12, and 15 represent the 3, 4, 5 Pythagorean triple where each side length is multiplied by a factor of three.
3x3=9
4x3=12
5x3=15
Therefore, these side lengths do make a right triangle because they represent a multiple of a Pythagorean triple.
If we didn’t recognize this, we could always plug the side lengths into the Pythagorean theorem, a^2 + b^2 = c^2.
In this case, we get
9^2 + 12*2 = 15^2
If we simplify, we get:
81+144 = 225
And if simplified further, we get:
225=225,
Which is a true statement, proving that these side lengths do make up a right triangle.
Hope this helps!
The numerator of a fraction is 3 less than the denominator. If 1 is added to both its numerator and denominator, it becomes 2/3. Find the fraction
[tex]\dfrac{x-3}{x}[/tex] - initial fraction
[tex]\dfrac{x-3+1}{x+1}=\dfrac{2}{3}\\\\\dfrac{x-2}{x+1}=\dfrac{2}{3}\\\\2(x+1)=3(x-2)\\2x+2=3x-6\\x=8\\\\\dfrac{8-3}{8}=\dfrac{5}{8}[/tex]
It's [tex]\dfrac{5}{8}[/tex]
Any Help Is Very Appreciated! (Picture is provided below)
Not sure how to do this at all won't lie
Answer:
(-2,0.2)
Step-by-step explanation:
we have
[tex]f(x)=2(3)^{x}[/tex]
[tex]g(x)=10log(x+3)[/tex]
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection point both graphs
The intersection points are (-1.9,0.2) and (1,6)
see the attached figure
therefore
The solution of the system of equations are the points (-1.9,0.2) and (1,6)
Find the area of the triangle.
24 square units
12 square units
11 square units
Area of a triangle is 1/2 x base x height.
The base is 6 units long and the height is 4 units.
Area = 1/2 x 6 x 4 = 12 square units.
The polygons below are similar. Find the value of z. Polygons ABCD and EFGH are shown. AB equals 6. BC equals 8. CD equals 10. AD equals x. EF equals y. FG equals 6. GH equals z. HE equals 12.
4.5
7.5
12
16
Answer:
7.5Step-by-step explanation:
Look at the picture.
If polygons ABCD and EFGH are similar, then corresponding sides are in proportion.
[tex]\dfrac{GH}{CD}=\dfrac{FG}{BC}[/tex]
We have
[tex]GH=z,\ CD=10,\ FG=6,\ BC=8[/tex]
Substitute:
[tex]\dfrac{z}{10}=\dfrac{6}{8}[/tex] croaa multiply
[tex]8z=(10)(6)[/tex]
[tex]8z=60[/tex] divide both sides by 8
[tex]z=\dfrac{60}{8}\\\\z=7.5[/tex]
Please answer this correctly
0.001, 0.014, 0.1, 9.41
What is the formula to find the Lateral Area of a pyramid
Answer: The general equation for the lateral area of a pyramid is LSA=(1/2)pl
P is the perimeter
L is the slant
Determine whether the three segment lengths will produce a triangle. Type yes or no in the space provided.
20, 20, 30 = ?
Answer:
20 , 20 , 30 will produce a triangle
Step-by-step explanation:
* Lets study how to know if the lengths of the three segments
can formed a triangle
- It is a fact that in any triangle the sum of the smallest two sides
must be greater than the largest side
- Lets study some examples
# If the lengths of the three segments are 5 , 6 , 7
∵ 5 and 6 are the smallest
∴ 5 + 6 = 11
∵ 11 > 7 ⇒ the sum greater than the 3rd side
∴ 5 , 6 , 7 can formed a triangle
# If the lengths of the three segments are 5 , 7 , 12
∵ 5 and 7 are the smallest
∴ 5 + 7 = 12
∵ 12 = 12 ⇒ the sum equal the 3rd side
∴ 5 , 7 , 12 can not formed a triangle
# If the lengths of the three segments are 10 , 12 , 24
∵ 10 and 12 are the smallest
∴ 10 + 12 = 22
∵ 22 < 24 ⇒ the sum less than the 3rd side
∴ 10 , 12 , 24 can not formed a triangle
* Now lets solve the problem
∵ The length of the three segments are 20 , 20 , 30
∵ 20 and 20 are the smallest
∴ 20 + 20 = 40
∵ 40 > 30 ⇒ the sum greater than the 3rd side
∴ 20 , 20 , 30 will produce a triangle
What is the fiftieth term of the arithmetic sequence 3, 7, 11, 15, ... ?
Answer:
199
Step-by-step explanation:
For this problem, you have to write an formula.
a(n)=a(1)+(n-1)d
n is the term you are trying to find (in this case it's 50).
a(1) is the first term in the sequence (in this case it's 3).
d is the common difference (in this case it's 4).
Plug those in, and you get:
a(50)=3+(50-1)4
And you can easily solve that and get a(50)=199.
Answer:
199
Step-by-step explanation:
1)Which choices shows the statement below in if-then form? Exercise makes you healthier.
A) if you don’t exercise ,then you won’t be healthier.
B) if you are healthy, then you exercise.
C) if you don’t exercise, you won’t be healthier.
D) if you exercise, then you will be healthier.
2) which of the following is a conditional statement for the following statement? Cardinals are red birds.
A) if a bird is not red, then it is not a cardinal.
B) if a cardinal is red, then it is a bird.
C) if a bird is red, it is a cardinal.
D) if a bird is a cardinal, it is red
Answer:
D for both
Step-by-step explanation:
Exercise is the condition and healthier is the outcome. So if you exercise then you will be healthier.
All cardinals are red. But not all red birds are cardinals. So d is the only one that is always true
1. if you exercise, then you will be healthier.
2. if a bird is a cardinal, it is red
What is Conditional Statement?A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences.
Given:
Exercise makes you healthier.
So, we have to write in the form of if- then statement
Thus, the statement is if you exercise, then you will be healthier..
Now, for the second statement "Cardinals are red birds."
The conditional statement is if a bird is a cardinal, it is red.
Learn more about Conditional Statement here:
https://brainly.com/question/18152035
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There are 1,379 souvenir paperweights that need to be packed in boxes. Each box will hold 15 paperweights. How many boxes will be needed?
92 boxes
1379/15=91.93 but u need a full box so 92
Answer:
92
Step-by-step explanation:
Given:
Number of Paperweights = 1,379
Number of Paperweights that each box can hold = 15
Number of boxes needed = 1379 ÷ 15 = 91.933 boxes
Because 0.933 of a box is of no use to anyone, we simply round this number up to the next whole box and just have the last box partially full.
This gives us 92 boxes.
Triangle ABC is translated 2 units right and 5 units down to form triangle A′B′C′. This triangle is then translated 5 units right and 4 units up to form triangle A″B″C″. If vertex A is at (-4, 2), what are the coordinates of vertex A″?
Answer:
The coordinates of vertex A" is (3 , 1)
Step-by-step explanation:
* Lets revise The translation of a point
- If the point (x , y) translated horizontally to the right by h units
then the new point = (x + h , y)
- If the point (x , y) translated horizontally to the left by h units
then the new point = (x - h , y)
- If the point (x , y) translated vertically up by k units
then the new point = (x , y + k)
- If the point (x , y) translated vertically down by k units
then the new point = (x , y - k)
* Now lets solve the problem
∵ Δ ABC has a vertex A = (-4 , 2)
∵ The Δ ABC is translated 2 units right and 5 units down to form
triangle A′B′C′
- From the rule above the x coordinate id added by 2 and the
y-coordinate is subtracted by 5
∴ A' = (-4 + 2 , 2 - 5) = (-2 , -3)
∴ The image of vertex A is A' = (-2 , -3)
∵ Δ A'B'C' is then translated 5 units right and 4 units up to form
triangle A″B″C″
- From the rule above the x coordinate is added by 5 and the
y-coordinate is add by 4
∴ A" = (-2 + 5 , -3 + 4) = (3 , 1)
* The coordinates of vertex A" is (3 , 1)
Answer:
it is a
Step-by-step explanation:
How is the graph of y = 3(x+ 1)^2 related to its parent function, ? It is translated 1 unit right and compressed vertically by a factor of 3. It is translated 1 unit left and compressed vertically by a factor of 3. It is translated 1 unit right and stretched vertically by a factor of 3. It is translated 1 unit left and stretched vertically by a factor of 3.
Answer:
"It is translated 1 unit left and stretched vertically by a factor of 3"
Step-by-step explanation:
The parent function here is y = x^2
Let's give out some general rules of transformation:
If y = f(x) is a parent function, then
1. If we have y = a * f(x)
| a | > 1 is a stretch;
0 < | a | <1 is a compression, vertically for both
and
2. If we have y = f(x-c), this means horizontal translation to right c units and y = f(x+c) means horizontal translation c units left
Looking at y = 3(x+1)^2, we can say that "it is vertical stretch by a factor 3 and horizontal translation 1 units left"
Let y = safe load in pounds and x = length in feet of a horizontal beam. A constant of proportionality k exists such that y=k/x . y varies inversely as x. Determine the constant k for a beam with y = 2,000 pounds and x = 15 feet. a. 133.3 b. 3,000 c. 30,000
Answer:
Option c. 30,000
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
Let
y ----> safe load in pounds
x ----> length in feet of a horizontal beam
we have
For [tex]x=15\ feet, y=2,000\ pounds[/tex]
Remember that
[tex]k=y*x[/tex]
substitute
[tex]k=2,000*15=30,000[/tex]
Which type of triangle will always have exactly 1-fold reflectional symmetry?
a. right triangle
b. obtuse triangle
c. equilateral triangle
d. isosceles triangle
Answer:
d) Isoceles triangle
Step-by-step explanation:
you can only split it down the middle
Answer:
D. Isosceles Triangle
Step-by-step explanation:
Which shows the correct values for proma’s friends who prefer orange juice ?
Answer:
Girls: 9; Boys: 11
Step-by-step explanation:
16-7=9
14-3=11
4(x)+6+3=17 what does x equal
Hello There!
X=2
To solve this, we first need to understand that when we see an X in parentheses, we multiply the number before it in this case 4 by X.
The answer is 2 because we multiply 4 by 2 which is the x value so 4*2 is equal to 8 and they we add 9 to it because the sum of 6 and 3 is 9.
Finally, our answer we get is 17 so our X value is 2.
Have A Great Day!
How many solutions does y=5/2x+2 and 2y=5x+4 have
Answer:
Step-by-step explanation:
y=5/2x+2
2y=5x+4
y=5/2x+2
y=5/2x+2
they are the same line/equation so infinite number of solutions
17x - 6 + 3x - 5 = x + 11 + 4x
Answer:
I believe it's 22/15
Step-by-step explanation:
17x -6 + 3x - 5 = 1x + 11 + 4x first you add the 17x and 3x and 1x and the 4x
which it would be: 20x - 6 -5 = 5x + 11;
20x - 11 = 5x + 11,
-5 -5
15x - 11 = 11
+11 +11
15x = 22
15 15 Divide
x = 22/15
Hope my answer has helped you if not i'm sorry.
f(X)=-2x-3
g(X)=3X+1
find (fxg)(X)
The value of [tex]f(g(x))=-6x-5[/tex]
Composite function :Given functions are, [tex]f(x)=-2x-3,g(x)=3x+1[/tex]
We have to find composite function [tex]f(g(x))[/tex].
[tex]f(g(x))=f(3x+1)\\\\f(g(x))=-2(3x+1)-3\\\\f(g(x))=-6x-2-3\\\\f(g(x))=-6x-5[/tex]
Learn more about the composite function here:
https://brainly.com/question/10687170
To find (fxg)(X), you need to multiply the two given functions, apply the distributive property, and then combine like terms. The result for (fxg)(X) is -6x² - 11x - 3.
Step-by-step Explanation:
First, write out the functions: f(X) = -2x - 3 and g(X) = 3X + 1.Multiply the two functions together: h(X) = (-2x - 3)(3x + 1).Apply the distributive property: h(X) = -2x * 3x + (-2x) * 1 + (-3) * 3x + (-3) * 1.Simplify each term: h(X) = -6x² - 2x - 9x - 3.Combine like terms: h(X) = -6x² - 11x - 3.Therefore, (fxg)(X) = -6x² - 11x - 3.
The slope of a line is -1/2 . What is the slope of a line that is parallel to it? A. 1/2 B.2 C. -1/2 D. -2
Step-by-step explanation:
We know any line that is parallel to other line has same slope.
Here, m1=m2
So, slope will be -1/2.
For this case we have by definition, that if two lines are parallel then their slopes are equal. That is to say:
[tex]m_ {1} = m_ {2}[/tex]
If we have a line of the form:
[tex]y_ {1} = - \frac {1} {2} x_ {1} + b_ {1}[/tex]
Then a parallel line will be given by:
[tex]y_ {2} = - \frac {1} {2} x_ {2} + b_ {2}[/tex]
That is, the slopes are the same!
Answer:
Option C
Which of the following shows the polynomial below written in descending order? 4x2-x+8x6+3+2x10
Answer:
2x10 + 8x6 + 4x2 - x + 3
Step-by-step explanation:
it has the same numbers and variables. it is descending because it's starting from the the highest value or biggest variable then goes from greatest to least from there.
Answer:
[tex]2x^{10}+8 x^{6} +4x^{2} -x+3[/tex]
Step-by-step explanation:
The given polynomial is
[tex]4x^{2} -x+8x^{6}+3+2x^{10}[/tex]
A descending order refers to the position of terms, where the "higher term" has the greatest exponent (greatest grade), and we order from greatest to least to have a descending order, as follows
[tex]2x^{10}+8 x^{6} +4x^{2} -x+3[/tex]
Notice that the temrs are placed from greatest expoenent to least.
Therefore, the answer is [tex]2x^{10}+8 x^{6} +4x^{2} -x+3[/tex]
What is the discriminant of 3х^2 + 6x = 2?
Answer:
Δ = 60
Step-by-step explanation:
Given a quadratic in standard form : ax² + bx + c = 0 : a ≠ 0
Then the discriminant
Δ = b² - 4ac
Given
3x² + 6x = 2 ( subtract 2 from both sides )
3x² + 6x - 2 = 0 ← in standard form
with a = 3, b = 6 and c = - 2
b² - 4ac = 6² - (4 × 3 × - 2) = 36 - (- 24) = 36 + 24 = 60