Answer:
x = -1
Step-by-step explanation:
Let the mystery number be x
Equation:
60 - 4x = 8x + 72
Subtract 60 from both sides
-4x = 8x + 12
Subtract 8x from both sides
-12x = 12
x = -1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
"The sum of two numbers is 17" <- that's our first equation. Sum means we're going to add. "two numbers" - well, we don't know what they are, so we can use x and y. (Note: x and y are just placeholders. You can use ANY placeholder as long as you keep it consistent with the second equations. x and y just mean "some number". We're going to work to find those numbers)
So for our first equation, we have two numbers being added together. So we can just write that as:
x+ y = 17
For the second equation:
"Three times one number increased by 5 is the same as twice the other number decreased by 4"
We have to work to process what is being asked. “Three times one number increased by 5”. So we know we are multiplying 3 to one of our numbers and increasing it (adding it) by 5.
So this part can be written as 3x+5
“Is the same as” just means “equal to”
“Twice the other number decreased by 4”. So twice, means two times and “decreased by four” just tells us to subtract four. So this part can be written as:
2y-4
Now we need to put this second equation together.
3x+5=2y-4.
So now we have our two equations:
x+y = 17
3x+5 = 2y-4
We have a few ways of solving this. We can use substitution, elimination, or graphing. I’m going to use substitution for this one.
So for substitution, we need to take one of two equations and solve for a single variable. So I’m going to take our first equation and solve for y.
x+y=17
-x. -x
y= -x+17
Now I’m going to put “-x+17” in for the “y” in the second equations.
3x+5=2y-4
3x+5 = 2 (-x+17) - 4. (Now distribute)
3x+5 = -2x + 34 - 4. (Now simplify)
3x+5 = - 2x + 30. (Now we need to get the x to one side)
+2x +2x
5x+5=30
-5. -5
5x = 25
X = 5
Now we can take the first equation and put 5 in for x to solve for y
x+y = 17
5 + y = 17
-5 -5
y= -12
So our x is 5 and our y is 12.
Solve the equation step by step
Let x be the amount of salt in the solution.
At day's end, the concentration of salt in the beaker is
x / (4 L) = 0.08 = 8%
Solve for x to get
x = 0.08 (4 L) = 0.32 L
So at the beginning, the concentration of salt in the beaker was
(0.32 L) / (5 L) = 0.064 = 6.4%
Given positive integers x and y such that x doesn't equal y and $1/x+1/y=1/18$ what is the smallest possible value for x+y?
Answer:
Hello,
[tex]\boxed{Answer: 75}[/tex]
Step-by-step explanation:
x,y integers, x,y >0 ,x≠y
[tex]\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{18}\\\\\dfrac{x+y}{xy} =\dfrac{1}{18}\\\\x+y=\dfrac{xy}{18}\\\\x=\dfrac{18y}{y-18}\\x=\dfrac{18y-324 +324}{y-18}\\x=18+\dfrac{324}{y-18}\\[/tex]
[tex]\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{18}\\\\\dfrac{x+y}{xy} =\dfrac{1}{18}\\\\x+y=\dfrac{xy}{18}\\\\x=\dfrac{18y}{y-18}\\x=\dfrac{18y-324 +324}{y-18}\\x=18+\dfrac{324}{y-18}\\\begin{array}{|c|c|c|c|}y-18&y&x&x+y\\---&---&---&---\\1&19&18+324=342&362\\2&20&18+162=180&200\\3&21&126&147\\4&22&99&121\\6&24&108&132\\12&30&45&75\\18&36&36&72\\\end{array}\\\\\\\boxed{Answer: 75}\\\\[/tex]
There were 642 students enrolled in a freshman-level chemistry class. By the end of the semester, the number of students who passed was 5 times the number of students who failed. Find the number of students who passed and the number who failed.
Answer:
535 students passed and 107 students failed
Step-by-step explanation:
Create a system of equations where p is the number of students who passed and f is the number of students who failed:
p + f = 642
p = 5f
Solve by substitution by plugging in 5f as p into the first equation, then solving for f:
p + f = 642
5f + f = 642
6f = 642
f = 107
So, 107 students failed.
Find how many students passed by multiplying this by 5:
107(5)
= 535
535 students passed and 107 students failed.
jojo is twice as Old as esi who in turn is five years older than kweku . if their total age is 47,how is each of them
Answer:
jojo is 26
esi is 13
and kweku is 8 years old.
Step-by-step explanation:
Let esi's age be x then jojo's age is 2x.
Also kweku's age is x - 5. as esi is 5 years older than kweku.
So x + 2x + x - 5 = 47
4x = 47 + 5 = 52
x = 13.
So jojo's age is 2*13 = 26 and kweku's age is 13 - 5 = 8.
Help school is so bad
Answer:
7.A (5,1)
B(5,7)
8. D (0,6)
Step-by-step explanation:
7. One vertex is at (5,4)
Move 3 units either direction in x
(5-3,4) = (2,4)
(5+3,4) = (8,4)
Or move 3 units in the y direction
(5,4+3) = (5,7)
(5,4-3) = (5,1)
If x is less than 2 or greater than 8 it is too far from the one vertex we are given
If y is less than 1 or greater than 7 it is too far away from the one vertex we are given
C cannot be a vertex since y =9
D is not a vertex since the point is (2,6) and not (2,4) which we know is 3 units away
E is not a vertex since the point is (2,1) and not (2,4) which we know is 3 units away
8. The center is (0,0)
The points have to add to a radius of 6
r^2 = 36
The sum of the x^2 and y^2 = 36
3^2 +0^2 = 9
4^2 +2^2 = 16+4 = 20
5^2 +3^2 = 25+9 = 34
0^2+6^2 =36 yes for D
4^2 +4^2 =16+16 = 32
1^2+5^2 = 26
suppose that this decade begins on 1 january 2020 which is wednesday and the next decade begins on 1 january 2030. how many Wednesday are there in this decade?
Answer:
521
365 *10 = 3650
365/7 = 521.4
Step-by-step explanation:
What is the surface area of a cube measure 8 c/w?
Answer:
512
Step-by-step explanation:
if 8 is the edge using the formula
V=a³=8³
V=512
K is between J and M. L is
between K and M. M is
between K and N. If JN = 30, KM = 8, and JK = KL = LM, what is MJ?
(please do step-by-step fully)
Answer:
12
Step-by-step explanation:
for this you need to draw a straight line and plot the points J,K,L,M,N according to the question.
here,
given K lies between J and M, L is between K and M , M is between K and N.
JN= 30, KM=8
JK=KL=LM
MJ= ?
according to the question,
J--------K-------L--------M-------N
KM= 8
KL+LM= 8 (KL+LM=KM)
KL+KL=8 ( given, LM=KL)
2KL= 8
KL=4
so,
JK= KL=4 and LM= KL= 4
now,
MJ= ?
we know
MJ= JK+KM = 4+8= 12
"Find the area and the circumference of a circle with diameter of 8m"
Radius = diameter/2 = 8/2 = 4m
Area of a circle = pi x r^2 = pi x 4^2 = 16pi m^2 ( exact area) or 50.27 m^2
Circumference = pi x diameter = 8pi m ( exact) or 25.12 m
Answer:
C = 25.12 A = 50.24
Step-by-step explanation:
Circumference formula = dπ
Area formula = πr^2
Circumference:
Plug in:
8π
8 × 3.14 = 25.12
Area:
8/2 = 4
r = 4
Plug in:
πr^2
π4^2
16π
16 × 3.14 = 50.24
Hope this helped.
Geometry, please answer question ASAP
Answer:
Figures A,D are polygons.
Reason:
Polygon is a closed figure with atleast three strange lines and angles.
Find the area of the figure below. Use 3.14 for pi.
Step-by-step explanation:
As we can say that,
diameter=10 cm
to find radius ,
radius =diameter/2
5cm
now, we can say
Area of semi circule= 1/2 ×3.14 ×5^2
=3.14 ×25/2
= 39.25 cm^2
also,Length =14 cm now,
area of square= l^2
=14×14
196cm^2
now ,total area of figure =196+39.25=235.25cm^2
therefore, total area is 235.25cm^2
PLS HELP ME ON THIS QUESTION I WILLL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following measures is a measure of spread?
A. median
B. range
C. mode
D. mean
Answer:
B) Range
Step-by-step explanation:
Hope this will help you
Answer:
Range
Step-by-step explanation:
I hope this will help buddy
Square root of 64 + cube root of 64 is
Answer:
12
Step-by-step explanation:
[tex]\sqrt{64}[/tex] + [tex]\sqrt[3]{64}[/tex]
= 8 + 4
= 12
Square root of 64 = [tex] \sf \sqrt{64} = \sqrt{8 \times 8} = \boxed{\bf 8}[/tex]
Cube root of 64 = [tex] \sf \sqrt[3]{64} = \sqrt[3]{4 \times 4 \times 4} = \boxed{ \bf4}[/tex]
So,
Square root of 64 + Cube root of 64
[tex] = \sf \sqrt{64} + \sqrt[3]{64} \\ \sf = 8 + 4 \\ = \boxed{ \bf12}[/tex]
12 is the answer of the question asked.
____________
Hope it helps.
RainbowSalt2222
26 $300 at 2% for 1 year
Answer:
bsbsba
anbznzn
Step-by-step explanation:
jajjdjjxj
What is the value of 2.3 + 8 – 1/2?
a ) 10.8
b) 10.03
c) 9.8
d) 9.5
Answer:
9.8
Step-by-step explanation:
2.3 + 8 – 1/2
Rewriting the fraction as a decimal
2.3 + 8 – .5
9.8
convert 1/1000 to a decimal or percent please and thank you
Answer:
0.001 ,0.10 pls give me brainliest
Step-by-step explanation:
In decimal fraction we write it as 1/1000. In decimal number we write it as . 001 and we read it as point zero zero one.
Las unidades solo son 1 6 7 o són 167 unidades 6 decimas...No lo entiendo.
c d u
Porfa ayuda.
In the expression, 9x^3+4x^2+7x+6, what is the constant?
9
7
6
4
Answer:
6Step-by-step explanation:
Constant - any number that do not have a variable.Ex.: 6[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
An expression is defined as a set of numbers, variables, and mathematical operations. In the given expression 9x³+4x²+7x+6, the value of the constant is 6.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
In the given expression, 9x³+4x²+7x+6, the value of the constant is the value that does not have any variable with it.
Therefore, in the given expression 9x³+4x²+7x+6, the value of the constant is 6.
Learn more about Expression here:
https://brainly.com/question/13947055
#SPJ2
[tex]2 \times 1 + 52 - 36 \div 2[/tex]
Solve according to BODMAS.
Answer:
Solution :To solve the above equation we will follow the BODMAS rule.
>> BODMAS is an order of mathematic operations.>> BODMAS rule is to be followed while solving expressions in mathematics.It stands for :
[tex]\quad\begin{gathered} \small \begin{array}{l} \star \: \rm B= bracket \\\star \: \rm O= order \: of \: power \: \\\star \: \rm D= division \\\star \: \rm M= multiplication \\ \star \: \rm A= addition \\ \star \: \rm S=subtraction \end{array}\end{gathered}[/tex]
Solving the question by bodmas rule :
[tex] \tt{ = 2 \times 1 + 52 - 36 \div 2}[/tex]
[tex] \tt{ = 2 \times 1 + 52 - \dfrac{36}{2}}[/tex]
[tex] \tt{ = 2 \times 1 + 52 - \cancel{\dfrac{36}{2}}}[/tex]
[tex] \tt{ = 2 \times 1 + 52 - 18}[/tex]
[tex] \tt{ = 2 + 52 - 18}[/tex]
[tex] \tt{ = 54 - 18}[/tex]
[tex] \tt{ = {\underline{\underline{\red{ \: 36 \: }}}}}[/tex]
Hence, the answer is 36.
Which of the following illustrates the truth value of the given conditional statement?
If 3.2 = 5, then 6 <0.
OFF-T
OTT →T
OTEF
OFT →T
Answer:
OTT →T.................
................... ............
Write the sum using the summation notation assuming the suggested pattern continues 2, -10, 50, -250, +…
Is this sequence arithmetic or geometric? How do you know?
Answer:
geometric
x=number of terms
∑ 2(-5)^(k-1)
k=1
Step-by-step explanation:
the sequence has a ratio of -5 (2*-5=-10, -10*-5=50)
x=number of terms
∑ 2(-5)^(k-1)
k=1
for this i don't know what the last term is since it doesn't show in the question but just find 2(-5)^x and x will be the top term
fin the slope of the line that is perpendicular to y=1/3x
1. 3
2. -3
3. -1/3
4. 12
Answer:
-3
Step-by-step explanation:
When a line is perpendicular, the slope becomes the opposite to the original. If the slope is 1/3, the perpendicular line's slope would be -3.
how many pounds are the squares to make them equal?
Answer:
hmm
try keeping 1.5
lhs = 1 + 1 + 1.5 + 1.5 + 1.5 = 6.5
rhs = 1+1+1+1+1 + 1.5 = 6.5
hence ans is 1.5
BRIAINLIEST PLASSS
Surveys tried out on a small number of people before they are used with a larger group of people are known as ____________ surveys.
A. predominant
B. pilot
C. preliminary
D. primary
a circle in the xy plane has a center at (3/4, 1/2)
Answer:
(x - 3/4)^2 + (y - 1/2)^2 = r^2
Brainliest, please!
Step-by-step explanation:
Equation of a circle: (x - h)^2 + (y - k)^2 = r^2
(x - 3/4)^2 + (y - 1/2)^2 = r^2
We do not have enough information to find the radius. Were you given another point that lies on the circle?
5. Define Linear Pair.
Answer:
when 2 angles add up to 180 degrees, they form a linear pair
Step-by-step explanation:
Please help me figure out these two problems!! Thanks
Answer:
A) eight legs per one spider (56/7)
B) one pretzel is 2.25 (6.75/3)
Step-by-step explanation:
56 divided by 7 is 8
6.75 divided by 3 is 2.25
For a given sample size in hypothesis testing, a.Type II error will not be effected by Type I error. b.the smaller the Type I error, the larger the Type II error will be. c.the smaller the Type I error, the smaller the Type II error will be. d.the sum of Type I and Type II errors must equal to 1.
Answer:
B.the smaller the Type I error, the larger the Type II error will be
Step-by-step explanation:
In hypothesis, type I error is when we reject the null hypothesis even though it's true while type II error is when we accept the null hypothesis even though it is false.
Now, the type I error is based on the significance level alpha. While the type II error is based on the statistical power beta.
This means that the significance level will affect the statistical power and we know that the significance level is inversely related to the Type II error rate based on beta.
Therefore, we can conclude that;
Having a lower significance level will lead to a decrease in the risk of getting a Type I error, however, it will increase the possibility of having a Type II error.
Thus, option B is correct.
8 0/1 as a improper fraction
Hey there!
8 0/1
8 * 1 + 0/1
= 8 + 0/1
= 8/1
Therefore your answer is most likely: 8/1
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
A pair of shoes is on sale for 30% off. The original price is p. Which expression can be used to find the price of the shoes after the discount?
a) 0.30p
b) 0.70p
c) 1.30p
d) 30p
Answer:
Step-by-step explanation:
the answer is b
