Answer:
x = 14
Step-by-step explanation:
2(x + 4) = 3( -2 + x) distribute the 2 and the 3.
2(x) + 2(4) = 3(-2) + 3(x)
2x + 8 = -6 + 3x Subtract 2x from both sides
2x - 2x + 8 = -6 +3x -2x
8 = -6 +x Add 6 to both sides
8 + 6 = 6 - 6 + x
14 = x
Guys, how many triangles are in this picture? Triangles with stripes inside also count
Therefore , as a result Two of a triangle's sides and the included SAS angle are said to be congruent if they match the corresponding sides and angles of another triangle.
What is the SAS?The Side-Angle-Side rule is applied to check the congruence of a set of triangles. The SAS rule states that a triangle is congruent if its two sides and included angles match those of another triangle.
Here,
if the first triangle's two sides and one of its included angles are equal to the second triangle's sides and one of its included angles.
Consequently, the SAS declares two triangles to be congruent. Two triangles are said to be congruent if their matching two sides and their included angles are found in a single triangle, according to the SAS theorem of congruence.
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Evaluate the expressions 56 with a variable of -1
Answer:
The expression 56 with a variable of -1 is not well defined. The term 56 is a constant number, and the variable of -1 is also a constant. Therefore there is nothing to evaluate.
Step-by-step explanation:
If you want to evaluate the expression 56*(-1) it would give -56 as output because -1 is a scalar and multiplying with a scalar will change the sign of the constant 56 but it won't change its value.
In other words, to evaluate an expression, it needs to have a mathematical operation or function, operands, and/or variables that can be replaced with values or expressions. Without any operation, there's nothing to evaluate.
Any help please, - What is the area for this?
Answer:
109.18
Step-by-step explanation:
Subtract 13.4-7.2 then solve the triangle (base x height) getting 32.86. Next solve the rectangle getting 76.32. Then add all of it concluding in 109.18.
A factory that makes nails uses 675 inches of metal to make 450 nails. At this rate, how many inches of metal is needed to make 1 nail?
Answer:1.5 inches
Step-by-step explanation:
what is 92,572 rounded to the nearest ten thousand
Answer: it is 90,000 i believe
Answer: 90,000
Step-by-step explanation: I think it is 90,000 because if the number was for an example 95,000 it would be 100,000 so the number after the 9 is deciding either it goes up or down
(sorry for the grammar and stuff because I'm from Germany so its not very easy to explain, thanks for understanding)
Identify the sequence that lists sides of STU in order from shortest to longest
ST, UT, SU
UT, SU, ST
SU, ST, UT
SU, UT, ST
On soloing the provided question we can say that - Area of the Circle - Area of the Triangle - Area of the Square is the area of the darkened area. A = 210-123 = 87 sq unit
what is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is a graphical representation of a triangle having vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.
the sum of the areas of the circle, the triangle, and the square.
Area of the Circle - Area of the Triangle - Area of the Square is the area of the darkened area.
A = 210-123 = 87 sq unit
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a letter is chosen at random from the word FOOTBALL, the probability that the letter chosen is not an L is:
Answer:
7/8
Step-by-step explanation:
Step 1: Count the total number of letters in the word FOOTBALL
There are 8 letters in the word FOOTBALL.
Step 2: Count the number of letters that are not L
There are 7 letters that are not L.
Step 3: Calculate the probability
The probability that the letter chosen is not an L is 7/8.
Find the range of values of k for which the equation 4x² + 12x + k = 0 has no real roots.
Hello there!
Answer:
[tex](9, +\infty)[/tex]
Step-by-step explanation:
It has no real roots only if
[tex] \sqrt{b {}^{2} - 4ac } [/tex]
has no roots. That means that b² - 4ac is smaller than 0:
[tex]b {}^{2} - 4ac < 0 \\ 12 {}^{2} - 4 \times 4 \times k < 0 \\ 144 - 16k < 0 \\ 144 - 144 - 16k < - 144 \\ - 16k < - 144 \\ k > 9 \\ k \: \: \: in \: \: \: (9, +\infty)[/tex]
we can approach this from the standpoint of the discriminant, if the discriminant is negative then we only get complex roots or namely "imaginary" solutions or values, well, let's check before that happens, when the discriminant is 0.
[tex]\qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ y=\stackrel{\stackrel{a}{\downarrow }}{4}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{+k} ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases}[/tex]
[tex]0=(12)^2 - 4(4)(k)\implies 0=144-16k\implies 16k=144 \\\\\\ k=\cfrac{144}{16}\implies k=9\hspace{5em} \stackrel{if~k > 9\textit{, then we land on negative territory}}{{\Large \begin{array}{llll} k > 9 \end{array}}}[/tex]
A line passes through the point (-10,1) and has a slope of 3/2. Write an equation in point-slope form for this line.
The line passes through the point (-10,1) and has a slope of 3/20 has the equation as: y - 1 = 3/2 (x + 10)
How to write the equation of the lineThe general form of a linear equation is y - y₁ = m (x - x₁).
It draws attention to the line's slope and one of the line's points (that is not the y-intercept)
The point slope formula is given by y - y₁ = m (x - x₁), where:
y = output value
y₁= the given y coordinate point
m = slope
x = input value
x₁ = the given x coordinate
substituting the point (-10,1) and slope 3/2
y - y₁ = m (x - x₁)
y - 1 = 3/2 (x + 10)
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Nathan and Lucy are selling blueberry and apple pies for a fundraiser. Nathan sold and 13 apple pies for a total of $147. Lucy sold 7 blueberry pies and 11 apple $204. What is the cost of one blueberry pie and one blackberry pie?
The cost of one blueberry pie and one blackberry pie is $11.30 and $11.373 respectively.
What are mathematical operators?In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows:
Operands: The numbers used in an operation are called operands. Depending on the type of operation, different terms are applied to the operands.
Given Nathan sold 13 apples pies for $147,
cost of 13 apple pies = $147
cost of 1 apple pie = 147/13 = $11.30
Lucy sold 7 blueberry pies and 11 apple pie $204.
7 blueberry + 11 apple pie = $204
cost of 11 apple pie = $124.384
cost of 7 blueberry = 204 - 124.384 = $79.615
cost of 1 blue berry = 79.615/7 = $11.373
Hence the cost of 1 apple pie is $11.30 and 1 blueberry is $11.373.
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The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Answer: option b), option c), and option e) are correct options.
Step-by-step explanation:
Given:
The area of a rectangular room= 750 square feet
The width of the room = 5 feet less than the length of the room
The length of the room = Y
To find:
Equations that can be used to solve the value of Y i.e. the length of the rectangular room.
Solution:
The equation can be derived from using the following formula:
Area of rectangle = length * width
According to the question,
Length of the rectangular room = Y
Width of the rectangular room = 5 feet less than the length of the room
= (Y-5)
Since, Area of rectangle = length * width
Area of the rectangular field = length of the room* width of the room
750 = Y (Y – 5) ………..eqn. (1)
Or, the above equation can be solved a step further and written as
750 = Y2 – 5Y ………..eqn. (2)
750- Y2 + 5Y= 0 ………..eqn. (3)
750-Y (Y- 5) =0 ………..eqn. (4)
Apart from the above equations, if we solve eqn. (2) we get the following equation:
750 = Y2 – 5Y
Y2 – 5Y- 750= 0
Y2 – 30Y + 25Y- 750 = 0
Y (Y- 30) + 25 (Y- 30) = 0
take Y- 30 common from L.H.S.
(Y -30) (Y+ 25) = 0 …………….eqn. (5)
Hence, the correct options are option b), option c), and option e).
how to simplify 93.37
Answer: simplified to the tens digit would be 93.4 simplified overall would just be 93.
Step-by-step explanation: Hope this helps, please mark brainliest, and give thanks!
The cost c in pounds of hiring a van for d days is given by the formula c=10+45d work out the cost for 5 day
The cost c in pounds of hiring a van is 235
The cost c in pounds for 1 day =45
Then cost c in pounds for five days is c=10+45d
Which is multiple 5 days to the 45
5 x 45 = 225
Add the 10 to the answer
225 + 10 = 235
The cost of a van hiring for number of days is 5
Then the final answer for cost c in pounds of hiring a van for five days are 235
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Red city rockets connections academy
Answer: what
Step-by-step explanation:
Math I need help I’m very confused and I don’t understand I’m sorry it’s hard to see the photo I need answers.
For each of the following , find
the coordinates of a or b and : the x-intercept, the coordinates of C: the y-intercept the axis of symmetry,
the coordinates of the vertex,
The maximum or minimum value,
The graph's X-intercepts are ((9+55)/2,0) and ((955)/2,0), and its Y-intercept is (0,13).
what is coordinates ?When locating points or other geometrical objects precisely on a manifold, such as Euclidean space, a coordinate system is a technique that uses one or more integers or coordinates. Locating a point or item on a two-dimensional plane requires the use of coordinates, which are pairs of integers. Two numbers called the x and y coordinates are used to describe a point's location on a 2D plane. a collection of integers that represent specific locations. The figure often has two numbers. The first number denotes the front-to-back measurement, while the second number denotes the top-to-bottom measurement. For example, in (12.5), there are 12 units below and 5 above.
given
Axis of symmetry:
x=9 /2
Vertex (minimum point): (9/2,−55/2)
X-intercepts: ((9+√55)/2,0) and ((9−√55)/2,0)
Y-intercept: (0,13)
The graph's X-intercepts are ((9+55)/2,0) and ((955)/2,0), and its Y-intercept is (0,13).
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Name the image of p (9, 1.5) after being translated along the vector <3, -0.5>
The image for P(9, 1.5) after Translation is P'( 12, 1).
What is Translation?Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.
For example, this transformation moves the parallelogram to the right 5 units and up 3 units. It is written ( x , y ) → ( x + 5 , y + 3 ) .
Given:
P(9, 1.5) with Translating Vector (3, -0.5).
So, Applying the Translation we get
P(9 + 3, 1.5 + (-0.5))
= P(12 , 1.5- 0.5)
= P(12, 1)
hence, the image is P'( 12, 1).
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A recreational area is formed by a rectangular shaped pool and a cement patio surrounding the pool. the pool has a length of 3x-3 meters and a width of 2x+7 meters. The patio extends x meters around to pool, on all sides of the pool. Write a polynomial expression that gives the total area of the recreational area.
The total area of the recreational area can be represented by the polynomial expression 26x² + 57x + 35.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
The area of the rectangular pool is given by its length times its width, so the area of the pool is (3x - 3) meters × (2x + 7) meters = (6x² + x - 21) square meters.
The area of the patio is given by the length of the pool plus twice the extension (x) on each side, times the width of the pool plus twice the extension on each side, so the area of the patio is (3x - 3 + 2x) meters × (2x + 7 + 2x) meters = (5x + 4) × (4x + 14) = 20x² + 56x + 56 square meters.
The total area of the recreational area is the sum of the areas of the pool and the patio, so it can be represented by the polynomial expression:
20x² + 56x + 56 + 6x² + x - 21 = 26x² + 57x + 35
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a) calculer: f(1,5); f(2,5); f(2)
Answer:
Step-by-step explanation:
you should give the function, if i haven't it, how can i help you.
i can give u some tips, put 1.5, 2.5, 2 in function respectively. then calculate them, u will get the answer.
tinkerbell is gathering data on the number of girls and boys that go on a particular ride at disneyland one morning she observes that 300 girls go on the ride and 500 boys go on the ride this represents the ratio of girls and boys that go on the ride complete the table below to show this relationship explain or show how you completed the table
Girls Boys Total
blank blank 8
6 blank blank
blank 20 blank
30 blank blank
300 500 800
blank 800 blank
The complete table is given in the solution.
What is ratio?A ratio is a way to show a relationship or compare two numbers of the same kind. We use ratios to compare things of the same type.
Given that, at Disneyland there are 300 girls go on the ride and 500 boys go on the ride this represents the ratio of girls and boys that go on the ride
The ratio of girls to boys = 3:5
Therefore, The complete table is as follows:-
Girls Boys Total
3 5 8
6 10 16
12 20 32
30 50 80
300 500 800
480 800 1280
Hence, the complete table is above
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(36)^-2 x (9)^-2 i need help
Answer: 1/104976
Step-by-step explanation:
You can get rid of negative exponents by flipping the number. So in this case, the expression would change to: 1/(36)^2 x (9)^2.
From there, simplify the expression. 36 squared is 1296. 9 squared is 81. Multiply those together to get 104,976.
1/104976 is your answer!
write 363 in the base-four system
Answer:
363 = 11223₄
Step-by-step explanation:
You want 363 written in base 4.
Base conversionWe can convert to base 4 by looking at the remainders from repeated division by 4:
363 ÷ 4 = 90 r 3
90 ÷ 4 = 22 r 2
22 ÷ 4 = 5 r 2
5 ÷ 4 = 1 r 1
1 ÷ 4 = 0 r 1
Writing the remainders in reverse order gives the base-4 number:
363 = 11223₄
Cali made a drawing for her parents for a gift. She wanted to frame it. Her drawing has an area of 96 cm and a width of 8 cm. How many cm of the wooden frame will she need?
Answer: 40 cm
Step-by-step explanation:
The wooden frame needed = perimeter of the drawing
The length of the picture: 96 :8 = 12cm
The perimeter: (12 + 8) x 2 = 40 cm
WHAT IS THE RECIPOCAL OF 6/5
Answer: 5/6
Step-by-step explanation:
The reciprocal of a number is 1 divided by that number. The reciprocal of 6/5 is 5/6.
Answer:
5/6
Step-by-step explanation:
Well to find a fraction's reciprocal all you need is to flop it like this
6/5 => 5/6
so 5 takes the place of 6 and 6 takes the place of 5
that's how 6/5 turns into 5/6
hence, the reciprocal is 5/6 .whats the answer??
its math related
Answer:
30
Step-by-step explanation:
x + 2x + 3x = 180 (the total angle of a triangle)
6x = 180
x = 180 : 6 = 30
Answer:
x = 30°
2x = 60°
3x = 90°
Step-by-step explanation:
Internal angles of a triangle sum 180°
Then:
x + 2x +3x = 180
6x = 180
x = 180/6
x = 30°
2x = 60°
3x = 90°
A rope 15 inches long has been divided into the greatest possible number of pieces in such a way that each piece has a different length, and each of these lengths in inches is expressed by a whole number. How many cuts were made?
A.3
B.4
C.5
D.6
E.7
Answer:
Below
Step-by-step explanation:
1+2+3+4+5 =15 5 lengths will require 4 cuts
For the system of equations shown, tell whether it would take fewer steps to solve by substitution or elimination. Then use that strategy to solve the system. Explain your reasoning.
-3x - 4y = 15
9x + 7y = 25
Answer:
Step-by-step explanation:
Step: Solve−3x−4y=15for x:
−3x−4y=15
−3x−4y+4y=15+4y(Add 4y to both sides)
−3x=4y+15
−3x
−3
=
4y+15
−3
(Divide both sides by -3)
x=
−4
3
y−5
You buy 4 pounds of steak at Store A for $25.50. Your friend buys 6 pounds
of steak at Store B for $40.25. Which store is cheaper?
O No answer text provided.
O They're the same
O Store A
O Store B
Question 3
Answer: To determine which store has the cheaper steak, you need to compare the price per pound of steak at each store. To do this, divide the total price by the number of pounds of steak at each store.
At Store A, the price per pound of steak is $6.38 because 25.50 / 4 = <<25.50/4=6.375>>6.375.
At Store B, the price per pound of steak is $6.71 because 40.25 / 6 = <<40.25/6=6.708>>6.708.
Therefore, Store A is cheaper because it has a lower price per pound of steak. The correct answer is Store A.
Step-by-step explanation:
Rose bushes are planted in a line on both sides of a path. The distance between the
bushes is 2 meters. What is the largest number of rose bushes that can be planted if
the path is 20 meters long?
69°F
() Which ordered pairs represent points on the graph of this equation? Select all that apply.
7y = -4x + 28
>
(3, -6)
(5,0)
(0,4)
(-4,-5)
(-5, 1)
(-6, 3)
Ordered pairs (0,4) stand in for points on the graph created by the equation 7y = -4x + 28.
What exactly is a line equation?A linear equation with a degree of one is referred to as a line equation. Two variables, x and y, are present in the equation of the line. The third parameter is the line's slope, which indicates the line's elevation. Y = mx + c, where m is the slope and c is the intercept cut by y, is the equation of the line in its general form.
given
7y = -4x + 28
For (3,-6)
7(-6) + 4( 3) = 28
-42 + 12 = 28
no
For (5,0)
7(0)+4(5)= 28
= 20
no
For (0,4)
7(4)-0=28
Yes
For (-4,-5)
7(-5)+4( - 4)= 28
no
For (-5, 1)
7(1)+4(-5)=28
No
For (-6,3)
7(-6)+4(3)= 28
No
hence the points (0, 4) on the graph of the equation 7y = -4x + 28 are ordered pairs.
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x^2-2/3x+9 factored
Answer:
x^2 - 2 /3 (x+3)
Step-by-step explanation: