The missing number in the expression (5 x 7) + (n x 4) = 5 x (7+ 4) is 5.
What are GCF and distributive property?The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.
We also know that distributive property states a(b + c) = ab + ac.
Given, An expression (5 × 7) + (n × 4) = 5 × (7 + 4).
Now, If we expand the RHS we have,
5×(7 + 4).
= (5 × 7) + (5 × 4).
Now, Writing the obtained RHS with LHS we have,
(5 × 7) + (n × 4) = (5 × 7) + (5 × 4).
So, The missing number is 5.
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What is an equation for the linear function whose graph contains the points (9, 7) and (4, −8)?
Enter your answers in the boxes.
y−
=
(x−9)
The line that passes through these two points is y=x-2
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here function whose graph contains the points (9, 7) and (4, −8)
Thus using the two point formula for a line we get the equation as
y-7=(x-9)
y=x-2
Hence, The line that passes through these two points is y=x-2
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) Find the coordinates of the point A' which is the symmetric point
A(3. 2) with respect to the line 2.x + y - 12 = 0.
Let, coordinate of point A' is (x,y).
Since, A' is the symmetric point A(3, 2) with respect to the line 2x + y - 12 = 0.
So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.
Now, their center is given by :
[tex]C( \dfrac{x+3}{2}, \dfrac{y+2}{2})[/tex]
Also, product of slope will be -1 .( Since, they are parallel )
[tex]\dfrac{y-2}{x-3} \times -2 = -1\\\\2y - 4 = x - 3\\\\2y - x = 1[/tex]
x = 2y - 1
So, [tex]C( \dfrac{2y -1 +3}{2}, \dfrac{y+2}{2})\\\\C( \dfrac{2y + 2}{2}, \dfrac{y+2}{2})[/tex]
Also, C satisfy given line :
[tex]2\times ( \dfrac{2y + 2}{2}) + \dfrac{y+2}{2} = 12\\\\4y + 4 + y + 2 = 24\\\\5y = 18\\\\y = \dfrac{18}{5}[/tex]
Also,
[tex]x = 2\times \dfrac{18}{5 } - 1\\\\x = \dfrac{31}{5}[/tex]
Therefore, the symmetric points is[tex]A'(\dfrac{31}{5}, \dfrac{18}{5})[/tex] .
if the radius of the base is 2 cm and the height is 24cm what is the volume?
Only answer question 2
round to the nearest ten
Answer:
A
Step-by-step explanation:
The given dimensions:
Height = 12 in
Radius = 9 in
Recall the cylinder volume formula: [tex]V=\pi r^2h[/tex]
where r = radius and h = height
Using the dimensions stated above, plug in the values into the formula
[tex]V=\pi 9^212\\9^2=81\\81\pi =254.4690049\\254.4690049*12=3053.628059\\V=3053.628059[/tex]
Finally, round answer to the nearest tenth
Your answer would be A.3053.6
PLEASE help test due !!!!
Use the two-way frequency table to answer questions #14-19
Answer:
14. 1/13
15. 14/15
16. 1/13
17. 15/30=1/2
18. 12/13
19. 12/15
If you are happy with my answers, please give brainliest :)
what does a duck say
Answer:
theres three possible answers, they either QUACK, HONK, or hum
Step-by-step explanation:
What is the range of the given data set?
[tex]\boxed{\huge\textsf{\boxed{\frak{Hey \ there!}}}}[/tex]
[tex]\bullet\large\textsf{ To find out the range you have to find the difference between the}\\\large\textsf{maximum and the minimum.}[/tex]
[tex]\bullet \large\textsf{ Reminder: the word difference in mathematics simply means subtract.}\\\large\textsf{So, if your teacher/anyone asks you what does it mean in math, tell}\\\large\textsf{them it is another word for subtraction.}[/tex]
[tex]\bullet\large\textsf{ The formula is: \underline{maximum} - \underline{minimum} = \boxed{\bf range}}[/tex]
[tex]\bullet \large\text{ Whereas, the MAXIMUM IS the GREATER/LARGER NUMBER.}\\\large\text{\& MINIMUM IS the LESS/SMALLER NUMBER.}[/tex]
[tex]\boxed{\star}\large\textsf{ Okay now lets answer your question }\boxed{\star}[/tex]
[tex]\square\large\text{\underline{ MAXIMUM}: \boxed{\bf 21}}[/tex]
[tex]\square\large\text{\underline{ MINIMUM:} \boxed{\bf 15}}[/tex]
[tex]\huge\textsf{21 - 15 = \boxed{your \ range}}[/tex]
[tex]\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR ANSWER}[/tex]
[tex]\huge\textsf{21 - 15}[/tex]
[tex]\huge\textsf{= 6}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: range = \bf 6}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\boxed{\huge\text{\boxed{\frak{Amphitrite1040:)}}}}[/tex]
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
75
Step-by-step explanation:
Answer:
75 km
Step-by-step explanation:
Use the Pythagorean Theorem
c² = a² + b²
c² = = 72² + 21²
c² = 5,184 + 441
c² = 5,625
Take the square root of both sides
c = 75 km
What is the value of sin(7pi/4)? See attached.
Answer:
-sqrt(2)/2 , the last option of your document.
Step-by-step explanation:
sin(7pi/4) = -sin(7pi/4 - pi)
= -sin(7pi/4 - 4pi/4)
= - sin(3pi/4)
sin(3pi/4) is a special angle , which is sqrt(2)/2
Hence, sin(7pi/4) = -sin(3pi/4)
= -sqrt(2)/2
Answer:
-sqrt(2)/2
Step-by-step explanation:
did the test
Write the ratio for Tan M.
Answer:
Step-by-step explanation:
HELPPP
Consider the function G(x)=x^2 + 7x – 18/x^2+2x-8
Which type of discontinuity does the function have at x = -4?
1.jump
2.mixed
3.infinite
4.removable
Answer:
it is an infinite discontinuity.
Step-by-step explanation:
Removable type of discontinuity does the function have at x = -4. Option 4 is correct.
What is the definition of removable discontinuity?If the limit of the function at the place of discontinuity exists and the value of the function exists, but they are not equal to each other, the discontinuity is removable.
We may eliminate the discontinuity by making the function's value equal to the function's limiting value at that time.
The given function is;
G(x)=x²+ 7x – (18/x)²+2x-8
G(-4)=(-4)²+7×(-4)- (18/-4)²+2(-4)-8
G(-4)=16-28-20.25-8-8
G(-4)=16-64.25
G(-4)=- -48.25
The given data on putting the value gives the negative values.
Hence, the removable type of discontinuity does the function have at x = -4
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Sara can finish 5 laps around the track in 6 minutes. What is her average speed in miles per hour, if it takes 12 laps around the track to run a mile?
9514 1404 393
Answer:
4 1/6 miles per hour
Step-by-step explanation:
6 minutes is 1/10 hour, so Sara's speed is ...
speed = distance/time
speed = (5/12 mi)/(1/10 h) = 50/12 mi/h
speed = 4 1/6 mi/h
Sara's speed is 4 1/6 miles per hour.
The vertex form of the equation of a parabola is y = 7(x-3)2 + 4. What is the standard form of the equation?
A. y = 7x2 - 42x+67
B. y = 7x2 - 6x + 22
C. y = 14x2 - 6x + 22
D. y = 14x2 - 12x + 44
Answer:
the standard form of the equation is: a. y=7x^2-42x+67
What is the solution to the equation? x+17=43
Hi there!
[tex]\large\boxed{x = 26}[/tex]
x + 17 = 43
Isolate for x by subtracting 17 from both sides:
x + 17 - 17 = 43 - 17
x = 26
Answer:
x=26
Step-by-step explanation:
x+17=43
-17. -17
x= 26
What is the greatest common factor of 20 and 65
Answer:
5
Step-by-step explanation:
Answer:I believe it would be 5
Step-by-step explanation:
because if you do it on a table chart you reach five first as the same number
please help with geometry proof
Answer:
a and c are both congruent to each other i just learned about rhombuses the other day so if a and c are congruent then b and d are congruent too
Match each expression on the left with an equivalent expression on the right. Not all of the options on the right will be used.
361,000
1,400
100 x 14
14(10)
361 - 1000
100(361)
36, 100
14,000
3,610
140
On solving the provided question, we can say that on matching the expressions are 100X 14 = 1400 and 14(10) = 140 and 361 . 100 = 36100 and 100(361) = 36100
what is expression ?In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.
so, on matching the expressions are
100X 14 = 1400
14(10) = 140
361 . 100 = 36100
100(361) = 36100
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6) This weekend, Eric makes sandwiches for 5 hours and delivers orders for
4 hours. How much money does he save?
6) Eric saves $
this weekend.
Answer:
$53
Step-by-step explanation:
You can just substitute the values in the equation
The amount Eric saves this weekend is $53.
What is an expression?Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are given that;
Sandwiches= $10
Order delivery= %14
Now,
To find how much money he saves this weekend, you need to substitute s = 5 and d = 4 into the expression and simplify. Here are the steps:
1/2(10s + 14d)
= 1/2(10(5) + 14(4))
= 1/2(50 + 56)
= 1/2(106)
= 53
Therefore, by the expression the answer will be $53.
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8. Each day, Amy walks to school. She leaves her home
and walks south 7 blocks to her friend's house. They then
turn to the west and walk 12 blocks to the school. At the
end of the day, Amy walks directly from the school to
her home.
a) To the nearest tenth (one decimal place), how many
blocks does Amy walk on her way home?
<+
-10
-10
Home s
-5
Friend's house
-5
-10
5
10
School
S
b) How many blocks does Amy walk in one day for her round trip to the school and back
home? Round to the nearest tenth.
Answer:
(a) 13.9 blocks (nearest tenth)
(b) 32.9 blocks (nearest tenth)
Step-by-step explanation:
The given scenario can be modeled as a right triangle.
If Amy walks south 7 blocks, one leg of the triangle is 7.
If Amy then walks west 12 blocks, the other leg of the triangle is 12.
Part (a)To calculate the number of blocks Amy walks on her way home if she walks directly from school to her home, find the length of the hypotenuse of the right triangle.
[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]
Substitute a = 7 and b = 12 into Pythagoras Theorem and solve for c (hypotenuse):
[tex]\implies 7^2+12^2=c^2[/tex]
[tex]\implies 49+144=c^2[/tex]
[tex]\implies 193=c^2[/tex]
[tex]\implies c=\sqrt{193}[/tex]
[tex]\implies c=13.8924439894...[/tex]
Therefore, Amy walks 13.9 blocks (nearest tenth) on her way home.
Part (b)To calculate the number of blocks Amy walks in one day for her round trip to school and back home, sum the side lengths of the right triangle:
[tex]\implies 7 + 12 + 13.9 = 32.9[/tex]
Therefore, Amy walks 32.9 blocks (nearest tenth) in one day for her round trip to school and back home.
pleaaaseeee help faassttttt i lost my calculator also my brain stopped working[tex]\sqrt{25} =?[/tex]
Answer:
The [tex]\sqrt{25}[/tex]= 5
Step-by-step explanation:
Where did Nathan make a mistake?
In Step 1, Nathan did not multiply
both terms in parentheses by-3.
In Step 2, Nathan did not simplify
5x 3x correctly.
In Step 3, Nathan did not divide
by the correct number.
In Step 4, Nathan did not simplify
correctly.
<->) -24
8
Answer:
The question is not detailed enough
Answer:
In step 2, Nathan did not simplify 5x - 3x correctly.
Step-by-step explanation:
In step 2, Nathan was one number off the correct simplification.
19.
A box contains only quarters and dimes. If there were 10% more quarters, the total
value of the money in the box would increase by 7.5%. What is the ratio of the number of quarters to the
number of dimes in the box? Express your answer as a common fraction.
Answer:
The ratio of the number of quarters to the number of dimes in the box is 9:10
Step-by-step explanation:
the instructions are on the image please help me and please hurry!
The elements in matrix X is attached below
What is MatrixMatrix is a mathematical construct consisting of an array of numbers, symbols, or expressions, arranged in rows and columns. It is most often used to represent linear relationships between two or more variables. Matrices are commonly used in science and engineering to represent systems of equations and in computer programming for representing data and performing operations on it.
In this problem, we can easily find x by reversing the variables and solve.
A - X = B
X = A - B
The elements in the matrix can be solved easily using an online calculator.
The value of x is attached below
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Find Y
Special right triangles
Please last question of the day!! Due very soon please help!!!
Answer:
[tex] \sin(30) = \frac{y}{2 \sqrt{2} } \\ \\ < = > \frac{1}{2} = \frac{y}{2 \sqrt{2} } \\ < = > y = \frac{2 \sqrt{2} }{2} \\ \\ < = > y = \sqrt{2} [/tex]
Answer:
y= √2
Step-by-step explanation:
sin 30°= y/2√2
1/2= y/2√2
y=√2
Show instructions
Question 1 (1 point)
The base of the rectangular prism is shaded in the sketch below. What is the lateral surface area of
the rectangular prism?
15 cm
28 cm
34 cm
A 1,904 cm
B 1,860 cm?
C 3,764 cm?
D 14,280 cm?
shdudbdhxbdhxbsbdyshs
Answer:
C 3674cm²
Step-by-step explanation:
1) (34×15)×2= 510×2= 1020cm²
2) (28×15)×2= 420×2= 840cm²
3) (34×28)×2= 952×2= 1904cm²
4) Total of all areas (surface area): 1020+840+1904= 3764cm²
Can anyone help me fill in the other blanks
On solving the problem we got that, 17yds and 11yds are its length and width
What does perimeter mean?The circumference of an item is known as its perimeter. For instance, your home has a yard that is enclosed. The length of the fence is the perimeter. The length of your fence is 200 feet if the yard is 50 feet by 50 feet.
length =L
width = W
length is 6 yd longer than its width,
L = 6 + W
perimeter is 56yds:
[tex]56= 2(L + W) \\ = > 68 = 2(6 + W) + 2W\\= > 12+ 2W + 2W = 56\\= > 4W = 44\\= > W = 11 yds\\= > L = 11+6 = 17 yds[/tex]
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A sector of a circle of 7cm has an area of 44cm².calculate the angle of the sector,correct to the nearest degree π =22\7
Answer:
[tex]\theta=102.85^{\circ}[/tex]
Step-by-step explanation:
Given that,
The radius of circle, r = 7 cm
The area of sector, A = 44cm²
We need to find the angle of the sector. The formula for the area of sector is given by :
[tex]A=\dfrac{\theta}{360}\pi r^2[/tex]
Solve for [tex]\theta[/tex].
[tex]\theta=\dfrac{360A}{\pi r^2}\\\\\theta=\dfrac{360\times 44}{\dfrac{22}{7}\times 7^2}\\\\\theta=102.85^{\circ}[/tex]
So, the angle of the sector is equal to [tex]102.85^{\circ}[/tex].
What is the first step in evaluating the expression shown below?
12 ÷ (7.4 – 3.6) + 8 – 2
Subtract 7.4 – 3.6.
Divide 12 ÷ 7.4.
Add 3.6 + 8.
Subtract 8 – 2.
Answer:
Subtract 7.4 – 3.6
Answer:
Subtract 7.4-3.6
Step-by-step explanation:
Pemdas
I don’t under this pls help thank you
Answer: 8%
Step-by-step explanation: