Answer:
First number = 20
Second number = 12
Explanation:
Let the 1st number be x
Let the 2nd number be y
=====================
Condition 1
[tex]\sf \rightarrow x + 7 + \dfrac{y}{6} = 29[/tex]
[tex]\rightarrow \sf x=-\dfrac{y}{6}+22[/tex]
=====================
Condition 2
[tex]\rightarrow \sf 2y - (x - 5) = 9[/tex]
[tex]\rightarrow \sf x = 2y -4[/tex]
=====================
Substitute equations
[tex]\rightarrow \sf -\dfrac{y}{6}+22 = 2y-4[/tex]
[tex]\rightarrow \sf y=12[/tex]
=====================
Find value of 1st number
[tex]\rightarrow \sf x = 2y - 4[/tex]
[tex]\sf \rightarrow x = 2(12) - 4[/tex]
[tex]\rightarrow \sf x = 20[/tex]
Quadrilateral abcd is a parallelogram if both pairs of opposite angles are congruent. prove that quadrilateral abcd is parallelogram by finding the measure of the opposite angle pairs?
Answer:
you how are doing please study and work hard
HEY GUYS THIS IS MY FINAL MATH ASSIGNMENT OF THE YEAR... PLS JUST HELP ME FIND THE DOMAIN AND RANGE THANK YOU
Answer:
domain: all real numbers (-∞,∞)
range: y ≤ 64
Step-by-step explanation:
since the domain is arn,
and range is the coordinates
coordniate (top or bottom-most point)
downward facing so the top
(2, 64)
since it is downward facing we use ≤ instead of ≥
y value is 64 (just as x is 2)
your answer is y ≤ 64
hope this helps:)
Answer:
[tex]D=[x E R | {x = \infty} ][/tex]
[tex]R = [yER| y\leq 64][/tex]
Step-by-step explanation:
1) Identify whether the [tex]x[/tex] and [tex]y[/tex] values are continuous
2) Since [tex]x[/tex] will continue below the [tex]x[/tex]-axis, it will approach infinity.
Therefore [tex]D=[x E R | {x = \infty} ][/tex]
3) Since [tex]y[/tex] ONLY continues below 64, [tex]R = [yER| y\leq 64][/tex]
HI GIVING BRAINLIESST CAN SOMEONE PLEASE EXPLAIN IM SORRY ITS SO LATE
Answer:
100°
Step-by-step explanation:
[tex] In\:right\:\triangle GHI \:\&\: \triangle GJI[/tex][tex]\angle GHI\cong\angle GJI[/tex] (Each 90° given)[tex]Hypotenuse \:GI \cong\: Hypotenuse GI[/tex] (Common side)[tex] side\: GH\cong\:side GJ[/tex] (Given)[tex]\implies \triangle GHI\cong\triangle GJI[/tex] (By HST postulate)[tex]\implies \angle GIH \cong \angle GIJ[/tex] (corresponding angles of congruent triangles or cact)[tex]\implies m\angle GIH = m\angle GIJ[/tex][tex]\implies 2z = z+25\degree[/tex][tex]\implies 2z-z = 25\degree[/tex][tex]\implies \red{\bold{z = 25\degree}}[/tex][tex]m\angle HIJ =m\angle GIH +m\angle GIJ[/tex] (By angle addition postulate)[tex]\implies m\angle HIJ = (2z) + (z + 25\degree)[/tex][tex]\implies m\angle HIJ = 3z + 25\degree[/tex][tex]\implies m\angle HIJ = 3(25\degree) + 25\degree[/tex][tex]\implies m\angle HIJ = 3(25\degree) + 25\degree[/tex][tex]\implies m\angle HIJ = 75\degree+ 25\degree[/tex][tex]\implies\huge{\purple{\boxed{ m\angle HIJ =100\degree}}}[/tex]A container holds 4800 cubic inches of waste. The dimensions of the container are tripled. How many cubic feet
of waste does the new container hold?
This is a 3-D container and the dimensional factor is F=3. The volume increases by a factor of 33 = 27.
The answer is 4608 x 27 / 123 = 72
The number 22 is multiplied by a 22-digit number that contains only "2"s. What is the
sum of the digits of the product?
Answer:
I don't know it is actually pretty hard! But is this part of the rsm mcp contest
Step-by-step explanation:
The sum of digits of the products is given by S = 176
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The number 22 multiplied by a 22-digit number that contains only "2"s would result in a number that consists of a string of "4"s.
This is because 2 multiplied by 2 results in 4. Since all the digits in the 22-digit number are "2"s, each digit would multiply by 2 and result in "4".
Therefore, the product of 22 multiplied by a 22-digit number that contains only "2"s would be a 44-digit number consisting of "4"s.
The sum of the digits of a 44-digit number consisting of only "4"s can be calculated by multiplying the digit "4" by the total number of digits, which in this case is 44.
Sum of digits = 4 × 44 = 176
Hence , the sum of the digits of the product would be 176
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Can someone try to help me I’m trying to get to a 91
The point P = (-3, y) lies on the unit circle shown below. What is the value of y
in simplest form?
The equation of the circle is given as (x-h)² + (y-k)² = r². Then the value of y will be ± √5/3.
What is an equation of a circle?A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at (h, k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x-h)² + (y-k)² = r²
The equation of the circle has the center at the origin and the radius is one unit. Then we have
x² + y² = 1
The point P = (-2/3, y) lies on the unit circle. Then the value of y will be
(-2/3)² + y² = 1
y² = 1 - 4/9
y² = 5/9
y = ± √5 / 9
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Which line is the best model for the data in the scatter plot?
Answer:
the top right (2) answer is probably what you'll want to go for, if this is incorrect then you have my deepest apologies
Step-by-step explanation:
A rectangular pyramid has a volume of 492 cubic yards. if the base has a length of 18 yards and a width of 4 yards, what is the height of the pyramid?
Answer:
h = 20.5 yards
Step-by-step explanation:
Volume of Rectangular Pyramid: lwh/3
492 = (18) * (4) (h) /3
Multiply 3 on both sides
1476 = (18) (4) (h)
1476 = 72h
Flip the equation.
72h = 1476
h = 41/2 or 20.5 yards
A tire company wants to determine if tires made with a new type of tread will last longer than tires made with the original type of tread. The company has access to 24 different vehicles. Each vehicle will receive four tires with the new tread and four with the original tread. The position, front or back, will be randomly determined for a pair of each type of tread. For example, a vehicle will have the new type of tread on the front tires and the original tread on the back tires. After six months, the pairs of unused tires will be used with the position switched on the car. The vehicles will be driven for six more months. At the end of one year, the depths of the remaining tread will be measured for each tire and the average differences between the new and original tread types will be determined. The average differences will then be used to determine if the new tread does last longer.
Is this a matched pairs design for this experiment?
Yes, the company used 24 different vehicles.
Yes, both types of tread were randomly assigned to each vehicle.
No, the vehicles were not put into groups of two.
No, the tires with the different types of tread were not randomly assigned to each vehicle.
This is a matched pairs design because both types of tread were randomly assigned to each vehicle.
What is matched pairs design?The term matched pairs design has to do with the situation in which participants are randomly assigned to an experiment or a control group. For each participant assigned to an experimental group, another is assigned to the control group.
Thus, this is a matched pairs design because both types of tread were randomly assigned to each vehicle.
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The quotient of 7 and the difference of a number and 8.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
➪ What is the quotient of 7 and the difference of a number and 8?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
➪ First, the word "quotient" indicates that we divide.
✳︎ Here, we are asked to divide 7 by the difference of a number and 8.
➪ The word "difference" indicates that we subtract.
✳︎ Here, we are asked to subtract a number minus 8.
Let the number be x.
Since the difference of x and 8 means we subtract x minus 8, this expression looks as follows:-
[tex]\texttt{x-8}[/tex]
◈ Now, we are also asked to find the quotient of 7 and the difference of a number and 8, which equals [tex]\bold{x-8}[/tex].
As I said earlier, the "quotient" means we divide, so we divide 7 by [tex]\bold{x-8}[/tex].
So we conclude that the expression is:-
7÷(x-8)
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
I need this solved now
I ALWAYS GIVE BRAINLIEST!!!!!!COME AND GET IT IF YOU WANT IT! ~20 POINTS AT STAKE!
Answer: C
Step-by-step explanation:
If you get a $50.00 raise in pay per month and your taxes also increase about $50.00 per month, how would you probably feel?
appreciated because you are getting rewarded for your hard work
satisfied because you broke even
proud because the government needs your money more than you do
resentful because it seems unfair
Answer:
i would say satisfied because you broke even. Because then you still work the same as you did, because before that you were breaking even every month. So you are not getting paid any extra
Step-by-step explanation:
What multiplies to 4 and adds to 6
Russ walks 710 mile to school. How far has he walked when he has covered 58 of the distance to school?\
Answer: [tex]\frac{7}{16}[/tex]
Step-by-step explanation: Distance to school = [tex]\frac{7}{10}[/tex] mile
Distance covered = [tex]\frac{5}{8}[/tex] of [tex]\frac{7}{10}[/tex]
= [tex]\frac{5}{8}[/tex] x [tex]\frac{7}{10}[/tex]
= [tex]\frac{35}{80}[/tex]
= [tex]\frac{7}{16}[/tex]
How many combinations without repetition are possible if n = 6 and r = 3? 56 20 27 18
Answer:18
Step-by-step explanation:
n+r=9
n×r=27
r²=9
n²=36
n+n=12
r+n=9
r+r=6
Order the following integers from least to greatest: -32, -43, -28, -22 and 13
Answer:
-22, -28, -32, -43, 13
Step-by-step explanation:
If it is after the digit 0 it will be less than any number above itself.
Which function is represented by the graph?
Answer:
cos(x-[tex]\frac{pi}{4}[/tex])-2
Step-by-step explanation:
The function is cos(x).
The horizontal shift is caused by (x- pi/4) so it would go to the right a distance of pi/4. If it was positive the entire thing would go left (x + pi/4).
The vertical shift is caused by the negative 2. Unlike horizontal shifts, negative moves it down and positive moves it up.
The x-axis is in radians. Desmos has option to change it to radian.
short answer: Write an equation in the form y=ax2+bx+c for a parabola that intersects the x-axis at -6 and 2 and passes through the point (1,-14) (2 points). Show you work.
Answer:
y = 2x^2 + 8x - 24
Step-by-step explanation:
This is a "working backwards" kind of a problem. You know the solution (the x-intercepts) and work backwards to find the equation. See image.
PLEASEEEEE
Match the expressions with their simplified versions.
Answer:
1. [tex]\normalsize \boxed{\textsf{$4\sqrt{2}\cdot\sqrt{2}$}} \implies \boxed{8}[/tex]
2. [tex]\normalsize \boxed{\textsf{$3\sqrt{7}-2\sqrt{7}$}} \implies \normalsize \boxed{\textsf{$\sqrt{7}$}}[/tex]
3. [tex]\normalsize \boxed{\textsf{$\dfrac{\sqrt{7}}{2\sqrt{7}}$}} \implies \normalsize \boxed{\textsf{$\dfrac{1}{2}$}}[/tex]
4. [tex]\normalsize \boxed{\textsf{$2\sqrt{5}\cdot 2\sqrt{5}$}} \implies \boxed{20}[/tex]
Step-by-step explanation:
The Radical Rules by Lial et al. (2017) state that:
Product rule: [tex]\large \textsf{$\sqrt[n]{a}\cdot\sqrt[n]{b}=\sqrt[n]{ab}$}[/tex]
"The product of two roots is the root of the product."Quotient rule: [tex]\large \textsf{$\sqrt[n]{\dfrac{a}{b}}=\dfrac{\sqrt[n]{a}}{\sqrt[n]{b}}$}\ \ \textsf{$(b \neq 0)$}[/tex]
"The root of a quotient is the quotient of the roots."1.
[tex]\implies \normalsize \textsf{$4\sqrt{2}\cdot\sqrt{2}$}\\\\\normalsize \implies \textsf{$4\sqrt{2\cdot2}$}\\\\ \implies \normalsize \textsf{$4\sqrt{4}$}\\\\ \implies\normalsize \textsf{$4\cdot 2 = 8$}[/tex]
[tex]\normalsize \boxed{\textsf{$4\sqrt{2}\cdot\sqrt{2}$}} \implies \boxed{8}[/tex]
2.
[tex]\implies \normalsize \textsf{$3\sqrt{7}-2\sqrt{7}$}\\\\ \implies\normalsize \textsf{$(3-2)\sqrt{7}$}\\\\ \implies\normalsize \textsf{$1\sqrt{7}$}\\\\ \implies\normalsize \textsf{$\sqrt{7}$}[/tex]
[tex]\normalsize \boxed{\textsf{$3\sqrt{7}-2\sqrt{7}$}} \implies \normalsize \boxed{\textsf{$\sqrt{7}$}}[/tex]
3.
[tex]\implies \normalsize \textsf{$\dfrac{\sqrt{7}}{2\sqrt{7}}$}\\\\\\ \implies\normalsize \textsf{$\dfrac{1\sqrt{7}}{2\sqrt{7}}$}\\\\\\ \implies\normalsize \textsf{$\dfrac{1}{2}$}\\\\[/tex]
[tex]\normalsize \boxed{\textsf{$\dfrac{\sqrt{7}}{2\sqrt{7}}$}} \implies \normalsize \boxed{\textsf{$\dfrac{1}{2}$}}[/tex]
4.
[tex]\implies \normalsize \textsf{$2\sqrt{5}\cdot 2\sqrt{5}$}\\\\ \implies\normalsize \textsf{$2\cdot2\sqrt{5\cdot5}$}\\\\ \implies \normalsize \textsf{$4\sqrt{25}$}\\\\ \implies \normalsize \textsf{$4\cdot5=20$}\\\\[/tex]
[tex]\normalsize \boxed{\textsf{$2\sqrt{5}\cdot 2\sqrt{5}$}} \implies \boxed{20}[/tex]
Reference:
Lial, M., Hornsby, J., Schneider, D., & Daniels, C. (2017). College Algebra and Trigonometry, Global Edition (6th ed., p. 94).
ignore the numbers on top of the fruits but can someone help solve this?
Step-by-step explanation:
I don't know what the 3rd fruit is. let's call it an apple.
so,
1 apple + 3 cherries = 3 bananas
1 apple = 3 bananas - 3 cherries
1 banana + 2 cherries = 1 apple = 3 bananas - 3 cherries
5 cherries = 2 bananas
1 apple + 1 banana = (1 banana + 2 cherries) + 1 banana =
= 2 bananas + 2 cherries =
= 5 cherries + 2 cherries =
= 7 cherries
the numbers did not help, as they were wrong.
e.g. if you assume the apple = 5, a cherry = 1 and a banana = 2, you would get 8 = 6 on the first scale.
if you change the apple to a 3, that would make the first scale true (6 = 6), but the second scale wrong (4 = 3).
funny enough, the other answer got 7 nevertheless (but the wrong way - actually 2 mistakes balanced each other out).
it is 7 cherries, though !
the actual numbers would be e.g.
a cherry = 1
then
1 banana = 5/2 = 2.5
1 apple = 3×5/2 - 3 = 15/2 - 6/2 = 9/2 = 4.5
to get whole numbers, we could multiply all by 2 :
cherry = 2
banana = 5
apple = 9
and then the first balance :
9 + 3×2 = 3×5
9 + 6 = 15
15 = 15 correct
the second balance
5 + 2×2 = 9
9 = 9 correct.
Three coins are tossed. Find the probability that 2 land on heads
Answer:
1/8
Step-by-step explanation:
Probability denotes the possibility of something happening. It is a field of mathematics that studies the probability of a random event occurring. From 0 to 1.
the value is expressed.
When a coin is tossed, the chance of it landing on heads is 1/2, and vice versa.
So, we divide 1/2 by the number of times it lands on heads to get 1/4. However, when the second one landed on tails, we must multiply it by 1/2 again, making 1/4 x 1/2 = 1/8.
hope this helps:)
Identify coordinate point A.
(0, 2)
(6, 7)
(1, 5)
(7, 3)
Answer:
(0, 2)
Step-by-step explanation:
it right I got 100% on my quiz
And… here are others that are right in the quiz
Identify coordinate point B.
(1, 5)
Identify coordinate point D.
(7, 3)
Identify coordinate point C.
(6, 7)
Hope it helps! :)
graph this sin equation
Answer:
I graphed it on desmos:
The sum of three consecutive integers is 90. Find the integers. If the smallest integer is x, the equation will be. I NEED HELP PLS SOLVE THIS QUICKLY I BEG YOU.
Answer:
x = 29
Step-by-step explanation:
Take the smallest integer as x. The next one as (x+1) and the last one as (x+2)
x + (x+1) + (x+2) = 90
x + x + x + 3 = 90
3x = 87
x = 29
Hence, x = 29
Hope this helps out. Feel free to mark me as brainliest! :)
What is the value of z, rounded to the nearest tenth? use the law of sines to find the answer. 2.7 units 3.2 units 4.5 units 5.3 units
The triangle is a shape with 3 sides and angles. The value of z from the given figure to the nearest tenth is 3.2
Sine rule of triangleThe triangle is a shape with 3 sides and angles
From the given triangle, we will use the expression below to determine the value of z
2.6/sin51= z/sin76
simplify
z = 2.6sin76/sin51
z = 2.5227/0.7771
z = 3.246
Hence the value of z from the given figure to the nearest tenth is 3.2
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What is the product? startfraction x squared minus 16 over 2 x 8 endfraction times startfraction x cubed minus 2 x squared x over x squared 3 x minus 4 endfraction
The product of the given expression is [tex]\frac{x(x-1)(x-4)}{2(x+4)}[/tex] OR [tex]\frac{x(x^{2} -5x+4)}{2x+8}[/tex] OR [tex]\frac{x^{3} -5x^{2} +4x}{2x+8}[/tex]
Simplifying fractionsFrom the question, we are to determine the product of the given expressions
The given expressions are
[tex]\frac{x^{2} - 16}{2x+8}\times \frac{x^{3}-2x^{2} +x}{x^{2} +3x-4}[/tex]
[tex]\frac{(x+4)(x-4)}{2(x+4)}\times \frac{(x^{2} -x)(x-1)}{(x-1)(x+4)}[/tex]
[tex]\frac{(x-4)}{2}\times \frac{(x^{2} -x)}{(x+4)}[/tex]
[tex]\frac{(x-4)}{2}\times \frac{x(x-1)}{(x+4)}[/tex]
[tex]\frac{x(x-1)(x-4)}{2(x+4)}[/tex]
OR
[tex]\frac{x(x^{2} -5x+4)}{2x+8}[/tex]
OR
[tex]\frac{x^{3} -5x^{2} +4x}{2x+8}[/tex]
Hence, the product of the given expression is [tex]\frac{x(x-1)(x-4)}{2(x+4)}[/tex] OR [tex]\frac{x(x^{2} -5x+4)}{2x+8}[/tex] OR [tex]\frac{x^{3} -5x^{2} +4x}{2x+8}[/tex]
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Here is the complete and correct question:
What is the product? StartFraction x squared minus 16 Over 2 x + 8 EndFraction times StartFraction x cubed minus 2 x squared + x Over x squared + 3 x minus 4 EndFraction
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Answer:
A. StartFraction x (x minus 4) (x minus 1) Over 2 (x + 4) EndFraction
Step-by-step explanation:
correct on edge :)
1.Judy put 50 cents and 1 quarter into a vending machine to buy a bottle of fruit juice. She got 2 dimes and 1 nickel back from the vending machine. How much did the bottle of fruit juice cost
Nickel - 5 cents
Dime - 10 cents
Quarter - 25 cents
Judy put in: 50 + 25 = 75 cents
The machine gave back: 10 + 10 + 5 = 25
Subtract the two numbers to find the difference (what the fruit juice cost): 75 - 25 = 50 cents
Answer:
Nickel - 5 cents
Dime - 10 cents
Quarter - 25 cents
Judy put in: 50 + 25 = 75 cents
The machine gave back: 10 + 10 + 5 = 25
Subtract the two numbers to find the difference (what the fruit juice cost): 75 - 25 = 50 cents
Step-by-step explanation:
find the volume of the compound shape
[tex]v = \frac{2}{3} \pi {r}^{3} [/tex]
[tex]v = \frac{2}{3} \times \pi \times {1.5}^{3} [/tex]
[tex]v = 7.07 \: {cm}^{3} [/tex]
Volume of the cylinder:[tex]v = \pi {r}^{2} h[/tex]
[tex]v = \pi \times {1.5}^{2} \times 4[/tex]
[tex]v = 28.27 \: {cm}^{3} [/tex]
Total volume:[tex]v = 7.07 + 28.27[/tex]
[tex]v = 35.34 \: {cm}^{3} [/tex]
Hence, the volume of the given compound shape is 35.34 cubic centimeters.
v of hemisphere:
2/3 pi r^3
v of cylinder:
pi r^2 h
total:
add both the value
apply the formula and try