Sam is d years old. Rupert's age is of Sam's age. lan is 15 years older than Rupert. If lan is 26 years old, a) write an equation in terms of d. b) what is Sam's age?
Answer: d = 11 bc 26 - 15 would equal 11
Triangle ABC has vertices A(-4, 3), B(2, 3) , C(-5, 1). A dilation with a scale factor of 5 and center at the orgin is appiled to this triangle.
What are the coordinates of C' in the dilated image? Enter your answer by filling in the boxes
Answer:
C' (- 25, 5 )
Step-by-step explanation:
since the dilatation is centred at the origin, then multiply each of the coordinates by the scale factor 5
C (- 5, 1 ) → C' (5 × - 5, 5 × 1 ) → C' (- 25, 5 )
Bag a contains $3$ white and $2$ red balls. bag b contains $6$ white and $3$ red balls. one of the two bags will be chosen at random, and then two balls will be drawn from that bag at random without replacement. what is the probability that the two balls drawn will be the same color? express your answer as a common fraction
Answer:
9/20
Step-by-step explanation:
i tried and got it wrong. it is 9/20
Joseph charges $20 an hour with a $5 flat fee for soccer lessons. Kellen charges $15
an hour with a flat fee of $10 for soccer lessons.
Which equation represents the situation when the cost is the same to be coached by
Joseph or Kellen, where his hours?
20h + 10 = 15h + 5
--
5h + 20 = 10h + 15
20h + 5 = 15h + 10
O5h + 15 = 10h + 20
Answer:
20h + 10 = 15h + 5
Step-by-step explanation:
Looking at the statements we see that Joseph charges 20h +5 and kellen 15h +10
I need help with? this question. what is 7(-7)+149-56/2=?
Answer:
the answer is 22 hope this helps
Step-by-step explanation:
7(-7)= -49
-49+149=100
100-56=44
44/2=22
simplify the expression
4(-8x+5)-(-33x-26)
Answer:
x+46
Step-by-step explanation:
x+46 because you do math and dont worry ive done this problem pls can you help me with my problem
What are polynomials?
Polynomials are mathematical expressions made up of many terms.
How to simplify a polynomial?
To simplify the maximum of a polynomial, you must group all like terms and rearrange them from highest to lowest power.
we solve ⇒ 4(-8x+5)-(-33x-26)
To distribute
-32x+20-(-33x-26)add up the numbers
-33+20+33x+26Combine like terms.
-32x+46+33xMultiply by 1.
1x + 46Solutionx + 46 ======> Answerif you work 8 hours every two days, how many hours will he work in 7 days
Answer:
28 hours for 7 days
Step-by-step explanation:
8/2 =
4
4 hours for 1 day
1 x 7 =
7
7 x 4
28
28 for 7 days
Answer:
I would say the answer is 28
Step-by-step explanation:
In two days, you would work 8 hours. To make sense, in one day you would work 4 hours.
Mulitply 4*7
or
2 days: 8 hrs
4 days: 16 hrs
6 days: 24 hrs
7 days: 28hrs
I need help, please and thank you
Answer:
1 and 1/12
hope this helped
If you answer this I SWEAR OMM I WILL LOVE YOU FOR FREAKING EVER
Answer:
5/24 square mm
Step-by-step explanation:
A = lw
A = 5/8 x 1/3
A = 5/24
find the perimeter of the figure below, composed of a rectangle and a semicircle. round to the nearest tenths place 4 9
Answer:
36.28 units
Step-by-step explanation:
perimeter of rectangle and perimeter of semi circle
2(l +h) + 1/2 (pid) + d
2(4+9)+ 1/2 (3.14 ×4) +4
2(13) + 10.28
=36.28 units
The circle below has center P, and its radius is 3 m. Given that m 2 QPR=170°, find the length of the minor arc OR.
Give an exact answer in terms of 7, and be sure to include the correct unit in your answer.
Length of minor arc OR :
Any smooth curve connecting two points is called an arc. The length of the arc m∠QPR is 2.8334π m.
What is the Length of an Arc?Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,
[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}[/tex]
where
θ is the angle, that which arc creates at the centre of the circle in degree.
Given the radius of the circle is 3m, while the angle made by the arc at the centre of the circle is 170°. Therefore,
The length of an arc = 2πr×(θ/360°) = 2π × 3 ×(170/360°) = 2.8334π m
Hence, the length of the arc m∠QPR is 2.8334π m.
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Which shape is always a parallelogram
Answer:
A Square, Rectangle, and a Rhombus
Step-by-step explanation:
I think that is all of them.
Can someone help me with this please thank you.
Answer:
1) 104
2) 132
3) 110
4) 112
5) 105
Step-by-step explanation:
These questions involve the sum of interior and exterior angles.
for the first 4 questions,
Use the formula: (n-2)*180-(sum of remaining angles)
For example q1, it has 4 angles
So substitute 4 into n
(4-2)*180=360
64+99+93+x=360
x=104°
(Do the same for q2-4)
For q5,
Sum of exterior angles of ANY polygon=360°
Therefore,
88+75+92+x=360
x=105°
Pls double check the answers yourself with a calculator, hope you find it helpful! :)
HELPP MEEEEEEEEEEEEEE thanks
no fake answers please will mark the brain list if correct.
Answer: Equal to.
Step By Step Explanation:
Answer:
they are equal
Step-by-step explanation:
5/6 * 250
(5 * 250)/6
1250/6
208.33
(1/3 * 250) + (1/2 * 250)
(250/3) + (250/2)
500/6 + 750/6
1250/6
208.33
1. whats -3 x - 5 = 6
2. whats -4 ( y - 2 ) =12
show work
Answer:
x = -11/3 or 3.666y = -1Step-by-step explanation:
Given:
1) -3x -5 = 6
2)- 4 ( y - 2 ) =12
To Find:
Value of x for no. 1Value of y for no. 2Solved:
1)-3x -5 = 6
Transpose -5 from LHS to RHS
=> -3x = 6+5=> -3x = 11Transpose -3 from LHS to RHS
=> x = (11/-3)=> x = -11/3=> x = -3.6662) -4(y-2) = 12
Apply distributive property
=>(−4)(y)+(-4)(-2)=12=>-4y+8 = 12Transpose 8 to RHS
=> -4y = 12-8=> -4y =4Transpose -4 to RHS
=> y = 4/-4=> y = -1The president of a school club would like to purchase T-shirts for members of the club and asks members which size they would like to order. The results are shown in the histogram below.
A histogram titled T-shirt sizes has size on the x-axis and frequency on the y-axis. Small, 15; medium, 22; large, 26; extra large, 5.
Which of the following is a true statement regarding the information shown in the histogram?
T-shirt size is a discrete quantitative variable.
T-shirt size is a continuous quantitative variable.
Frequency of each size is a discrete quantitative variable.
T-shirt size is a categorical variable.
Answer:
Its a categorical variable
Step-by-step explanation:
I took the test on edge
Answer:
T-shirt size is a categorical variable.
Step-by-step explanation:
I used chatopenai.com
Is X/3=5+3y/4 a linear equation
Answer:
Yes
Step-by-step explanation:
Linear EquationsA linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
What is a Linear Equation?An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.
How to Solve 1.5 kg : 350kg
30/7
Step-by-step explanation:
1.5kg : 350g
1kg = 1000g
So, 1.5kg = 1500g
1500g : 350g
1500/350 = 30/7
The answer is 30/7.
I need help I’m very confused.
Answer:
i think its D but i'm not very sure. try it
Step-by-step explanation:
x -10° 3x 5x X 2х - 10=360
Answer:
30°
Step-by-step explanation:
x+3x+(x-10)°+5x+(2x-10)°=360°
=>4x+x-10°+5x+2x+10°=360°
=>12x=360°
=>x=360°/12
=>x=30°
best estimate for 6 3/4 divided by 1 2/3
Answer:
4.05
Step-by-step explanation:
Find the missing term
(m-n)^2=m^2-_____+n^2
Answer:
2mn
Step-by-step explanation:
The expanded form of the square can be found using the distributive property.
__
(m -n)² = (m -n)(m -n) = m(m -n) -n(m -n) . . . use the distributive property
= m² -mn -nm +n² . . . . use it again
= m² -2mn +n² . . . . . . combine like terms
The missing term is 2mn.
Please help Geometry
Answer:
the answer is x=16
Step-by-step explanation:
trust me bro
can someone please help me
The matrix expressions are:
[tex]\left[\begin{array}{cc}12&7\\5&3\end{array}\right] * \left[\begin{array}{cc}-15&-17\\26&29\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]Matrix 2 cannot be solved[tex]\left[\begin{array}{cc}-2&3\\-4&5\end{array}\right] * \left[\begin{array}{c}3&4\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]How to solve the matrix expression?The rule for matrix product states that:
If the dimensions of matrix A is m by n, and the dimension of matrix B is n by p.
Then, the dimension of the product matrix is: m by p
Using the above rule, we have:
Expression 1:
[tex]\left[\begin{array}{cc}12&7\\5&3\end{array}\right] * \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]
Expand:
[tex]\left[\begin{array}{cc}12a + 7c&12b + 7d\\5a + 3c &5b + 3d\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]
By comparison, we have:
12a + 7c = 2
5a + 3c = 3
12b+ 7d = -1
5b + 3d = 2
Using a graphing tool, we have:
a = -15, b = -17, c = 26 and d = 29
Hence, the matrix expression is:
[tex]\left[\begin{array}{cc}12&7\\5&3\end{array}\right] * \left[\begin{array}{cc}-15&-17\\26&29\end{array}\right] = \left[\begin{array}{cc}2&-1\\3&2\end{array}\right][/tex]
Expression 2:
[tex]\left[\begin{array}{cc}6.75&3\\-9&-4\end{array}\right] * \left[\begin{array}{c}a&b\end{array}\right] = \left[\begin{array}{c}8&5\end{array}\right][/tex]
Expand:
[tex]\left[\begin{array}{c}6.75a +3b\\-9a - 4b\end{array}\right] = \left[\begin{array}{c}8&5\end{array}\right][/tex]
By comparison, we have:
6.75a + 3b = 8
-9a - 4b = 5
Using a graphing tool, the system of equation has no solution
Hence, the matrix expression cannot be solved
Expression 3:
[tex]\left[\begin{array}{cc}-2&3\\-4&5\end{array}\right] * \left[\begin{array}{c}a&b\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]
Expand:
[tex]\left[\begin{array}{c}-2a +3b &-4a +5b\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]
By comparison, we have:
-2a + 3b = 6
3a + 5b = 8
Using a graphing tool,
a = 3 and b = 4
Hence, the matrix expression is:
[tex]\left[\begin{array}{cc}-2&3\\-4&5\end{array}\right] * \left[\begin{array}{c}3&4\end{array}\right] = \left[\begin{array}{c}6&8\end{array}\right][/tex]
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Let (-4,-5) be the point on the terminal side of theta find cos (theta), sec (theta) & cot (theta)
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2 + b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{-4}\\ b=\stackrel{opposite}{-5}\\ \end{cases} \\\\\\ c=\sqrt{(-4)^2 + (-5)^2}\implies c=\sqrt{41} \\\\[-0.35em] ~\dotfill[/tex]
[tex]cos(\theta )\implies \cfrac{\stackrel{adjacent}{-4}}{\underset{hypotenuse}{\sqrt{41}}}\implies \cfrac{-4}{\sqrt{41}}\cdot \cfrac{\sqrt{41}}{\sqrt{41}}\implies -\cfrac{4\sqrt{41}}{41} \\\\\\ sec(\theta )\cfrac{\stackrel{hypotenuse}{\sqrt{41}}}{\underset{adjacent}{-4}}\implies -\cfrac{\sqrt{41}}{4}~\hfill cot(\theta )\implies \cfrac{\stackrel{adjacent}{-4}}{\underset{opposite}{-5}}\implies \cfrac{4}{5}[/tex]
Ivan purchased one bookmark and 7 books for a total of $82.00. The price of the bookmark was $2.20 and each book cost the same amount.
What was the cost of one book in dollars and cents?
Answer:
$11.40
Step-by-step explanation:
Subtract the bookmark from the total amount
82.00 - 2.20 = 79.80
Divide the answer by how many books you purchased
79.80/7
= ($11.40)
9. A triangle has sides whose lengths are 5, 12, and 13. A similar triangle could have sides with lengths
of ? Give side lengths of two different similar triangle.
Answer:
One similar triangle: 15, 36 and 39
Another similar triangle: 10, 24, 26
Step-by-step explanation:
When a triangle is similar, it has corresponding sides that are each longer are shorter than the original triangle by a scale factor.
Scale factorA scale factor is a number that you multiply the original triangle's sides by. After multiplying each original side, you get the side lengths of a new and similar triangle.
The original sides from the question are 5, 12 and 13.
First similar triangleLet's pick 3 to be a scale factor.
Multiply every original side by the scale factor to get the side lengths of a similar triangle.
5 × 3 = 15
12 × 3 = 36
13 × 3 = 39
∴ One similar triangle can have the sides 15, 36 and 39.
Second similar triangleLet's pick another scale factor: 2
Now, we do the same. Multiply the original sides by the scale factor.
5 × 2 = 10
12 × 2 = 24
13 × 2 = 26
∴ Another similar triangle can have the sides 10, 24 and 26.
Choosing a scale factorWe can pick almost any number to be a scale factor. If we pick a scale factor that is:
greater than 1, then the similar triangle will be larger.a fraction, then the similar triangle will be smaller.We can make an infinite amount of other similar triangles just by changing the scale factor.
please help < <<<<<<<<33333333 TYY
-20 -8 + (-12)
Answer:
-30
Step-by-step explanation:
-20-8=-28
-28-12
=-30
What is the shortest distance between the line y = 3x + 5 and the
point (0,0)? Round your answer to nearest tenth.
I NEED A FAST ANSWER PLS
Answer:
1.6 to nearest tenth.
Step-by-step explanation:
This will be a line which is perpendicular to y = 3x + 5 and the line will also pass through the point (0,0).
Equation of that line:
Slope = -1/3 so we can write:
y - 0 = -1/3(x - 0)
So its y = -1/3 x,
The point where it intersects with the given line is now found:
-1/3x = 3x + 5
10/3 x = -5
x = -5 *3/10 = -1.5.
- and the y coordinate = 3(-1.5) + 5 = 0.5.
So the point is (-1.5, 0.5)
and the required distance = √((-1.5)^2 + 0.5^2)
= 1.58
= 1.6 to nearest tenth.
The equation of this line is
y = 2x + 3. which of the
following shows a way that
we could change the
equation to make the line
flatter?
Answer:
y= x + 3
Step-by-step explanation:
I have the same question and that was the correct answer
y= x+ 3 is flatter.
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation.
As, the slope of y = x + 3 is 1.
So, the gradient is 1.
So, y = 2x + 3 is flatter
The slope of 2x-1 is 2
and, the slope of y= -4x+3 is -4
and the gradient is -4.
So, y= -4x +3 is steeper.
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