Explanation:
It took him 8 seconds to run 92 yards. We want to know how many yards we can run in 1 second:
\(\frac{92yd}{8\sec }=11.5\text{ yd/sec}\)Answer:
11.5 yards per second
the school lisa goes to is selling tickets to the annual talent show. on the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. the school took in $126 on the second day by selling 7 senior citizen tickets and 5 student tickets. what is the price of on senior citizen ticket and one student ticket?
Answer: one senior ticket is $8 and one student ticket is $14
Hope this helps a little
Pls help me I am stuck tysm
a) The initial deposit in the account is given as follows: 1,287.39 euros.
b) The interest rate of the account is given as follows: 3%.
How to obtain the balance using simple interest?The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:
A(t) = P(1 + rt).
In which the parameters of the equation are listed and explained as follows:
A(t) is the final balance.P is the value of the initial deposit.r is the interest rate, as a decimal.t is the time in years.Considering the balances after 5 and 6 years, the interest rate is obtained as follows:
r = 1524.60/1480.50 - 1
r = 0.03.
Considering the balance after 5 years, the initial deposit is obtained as follows:
P(1 + 0.03 x 5) = 1480.5
P = 1480.5/1.15
P = 1,287.39 euros.
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please help me please help me please
Answer:
Pull.
Step-by-step explanation:
Because the person is bringing the cart closer to himself, it is a pill force.
Hope this helps
Question 3(Multiple Choice Worth 1 points)
(05.02 MC)
Solve the system of equations using substitution.
4x + 2y = 6
x = 2y + 4
(1, 1)
(2,-1)
(8,2)
(10,3)
Answer:
(2,-1)
Step-by-step explanation:
We can use substitution to solve this system of equations. Since x is already solved for in the second equation, we can substitute 2y + 4 for x in the first equation:
4(2y + 4) + 2y = 6
Simplifying the left side:
8y + 16 + 2y = 6
Combining like terms:
10y + 16 = 6
Subtracting 16 from both sides:
10y = -10
Dividing both sides by 10:
y = -1
Now that we know y, we can use the second equation to find x:
x = 2y + 4
x = 2(-1) + 4
x = 2
Therefore, the solution to the system of equations is (x, y) = (2, -1).
The correct answer choice is (2, -1).
Find all roots of the equation:
\(\left| \log_7(x^8)\cfrac{}{} \right|~~ - ~~\left( ~~ \log_{49}(x^2) ~~ \right)^2 = 7 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \left| \log_7(x^8)\cfrac{}{} \right|\implies \pm\log_7(x^8)\implies \pm 8\log_7(x) \\\\[-0.35em] ~\dotfill\\\\ \left( ~~ \log_{49}(x^2) ~~ \right)^2\implies \left( ~~ \cfrac{\log_7(x^2)}{\log_7(49)} ~~ \right)^2\implies \left( ~~ \cfrac{\log_7(x^2)}{\log_7(7^2)} ~~ \right)^2\)
\(\left( ~~ \cfrac{\log_7(x^2)}{2} ~~ \right)^2\implies \left( ~~ \frac{1}{2}\log_7(x^2) ~~ \right)^2\\\\\\ \left( ~~ \log_7(x^{2\cdot \frac{1}{2}}) ~~ \right)^2 \implies \left( ~~ \log_7(x) ~~ \right)^2 \\\\[-0.35em] ~\dotfill\\\\ \left| \log_7(x^8)\cfrac{}{} \right|~~ - ~~\left( ~~ \log_{49}(x^2) ~~ \right)^2=7 \implies \pm 8\log_7(x)~~ - ~~\left( ~~ \log_7(x) ~~ \right)^2=7 \\\\[-0.35em] ~\dotfill\\\\ \textit{now let's make }\hspace{5em}\log_7(x)=Z \\\\[-0.35em] ~\dotfill\)
\(\mp 8Z-Z^2=7\implies 0=Z^2\pm 8Z+7\implies 0= \begin{cases} Z^2+ 8Z+7\\ Z^2 - 8Z+7 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 0=Z^2+8Z+7\implies 0=(Z+7)(Z+1)\implies 0=[\log_7(x)+7][\log_7(x)+1] \\\\\\ 0=Z^2-8Z+7\implies 0=(Z-7)(Z-1)\implies 0=[\log_7(x)-7][\log_7(x)-1]\)
now, let's process for each case to get its roots
\(0=\log_7(x)+7\implies -7=\log_7(x)\implies 7^{-7}=7^{\log_7(x)}\implies \boxed{7^{-7}=x} \\\\\\ 0=\log_7(x)+1\implies -1=\log_7(x)\implies 7^{-1}=7^{\log_7(x)}\implies \boxed{7^{-1}=x} \\\\\\ 0=\log_7(x)-7\implies 7=\log_7(x)\implies 7^{7}=7^{\log_7(x)}\implies \boxed{7^{7}=x} \\\\\\ 0=\log_7(x)+1\implies 1=\log_7(x)\implies 7^{1}=7^{\log_7(x)}\implies \boxed{7=x}\)
Sam wanted to graph the equation
y = 2x -7. She plotted her y-intercept
point and started to count the slope.
Which of the following should she do?
A. count up 2, and left 1
B. count down 2, over 0
C. count down 2, and right 1
D. count up 2, and right 1
We can use the concept of Line Intercept form . She should count up 2 and right 1 . So the correct option is D.
How can we find the intercepts and slope of the equations?When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilize the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula. We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable. Set x = 0 and then solve for y to find the y-intercept.
y=mx+b is the slope intercept formula
CalculationThe given equation is y=2x-7.
By comparing to slope intercept formula y=mx+b,
m=2 and b=-7.
So the slope of the given equation is 2 and y-intercept is (0,-7).
we know that,
m=rise/run
so rise=2 and run=1 that means Sam needs to count up 2 and right 1 to graph the equation using the given slope.
We can use the concept of Line Intercept form . She should count up 2 and right 1 . So the correct option is D.
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Answer the following question, and show your work. *
2
4
3
6
6
3
8
9
7
9
8
???
Answer:
6
(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)
Step-by-step explanation:
To find the missing number in the given sequence, let's analyze the pattern:
2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, ???
Looking at the sequence, we can identify a few patterns:
The sequence alternates between increasing and decreasing numbers.
The first two numbers, 2 and 4, are increasing.
The next two numbers, 4 and 3, are decreasing.
The following two numbers, 3 and 6, are increasing.
The subsequent two numbers, 6 and 3, are decreasing.
The next two numbers, 3 and 8, are increasing.
The subsequent two numbers, 8 and 9, are increasing.
Based on these observations, it appears that the sequence is following a pattern where it alternates between increasing and decreasing numbers, but the specific values being added or subtracted are not consistent.
Now let's determine the missing number:
From the pattern, the next two numbers should be decreasing. Following the pattern of alternating between increasing and decreasing numbers, the missing number after the last given number (8) should be less than 9.
Let's assume the missing number is x:
8 - x
Since the previous decreasing sequence was 6 - 3, we can assume that x is 1 less than the previous number (3):
8 - (3 - 1) = 8 - 2 = 6
Therefore, the missing number in the sequence is 6.
The complete sequence is:
2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, 6
Is 1 = 2 always a false statement?
Answer:
yes, 1 can never equal 2 unless it is manipulated (ex: 1(2) = 2)
because one is not being manipulated to equal 2 here, it is a false statement and will always be a false statement.
Answer:
yes
Step-by-step explanation:
Mathematicaly speaking yes
Solve the given problem using Venn Diagram. Show your solution
A group of 50 students went on a tour in Palawan province Out of 50 students, 24 joined the trip to Coron; 18 went to Tubbataha Reef, 20 visited El Nido: 12 made a trip to Coron and Tubbataha Reef 15 saw the Tubbataha Reef and El Nido, 11 made a trip to Coron and El Nido: 10 saw the three tourist spots.
1. How many students went to Coron only?
2. How many students went to Tubbataha Reef only?
3. How many joined the El Nido trip only? 4. How many did not go to any of the tourist spot?
(Please kindly help me. I have answered this problem, but it seems not to be correct.)
Answer:
1. 11
2. 1
3. 4
4. 16
Step-by-step explanation:
Start with the number visiting all 3 spots, i.e. 10, this goes in the middle (the triple overlap zone);
Then, the number of those visiting two of the 3 spots less 10 will go into each dual overlap zone;
Finally, the total number of those visiting a single spot less anything in any overlap zone of that circle needs to go in the singular outer zone;
What this means is:
In the case of Coron:
10 visited Coron and the other 2 spots;
11 visited Coron and El Nido, but 10 of these also visited the Reef as well, leaving only 1 who visited just Coron and El Nido;
Similarly, 12 went to Coron and the Reef, 10 of these went to El Nido as well so just 2 visited only Coron and the Reef;
Then 24 in total visited Coron, 10 of these visited the two other spots as well, 1 visited Coron and El Nido and 2 visited Coron and the Reef;
So 13 (= 10 + 1 + 2) visited Coron and one or more of the other two spots, leaving 11 (=24 - 13) who visited Coron alone;
Do the same thing with El Nido and the Reef to get the answers to the other questions;
This is all represented in the Venn diagram shown;
The last question is calculated by summing all the values in each zone and subtracting the total from 50, which is the total number of students;
This gives 16.
help me plsssssssssssssssssssss
Answer:
can i please have somepoints
Step-by-step explanation:
i need to get an answer to a question and if i don't i might fail a really hard test
Answer:
19/29 probability of bieng an only child
Step-by-step explanation:
You want Brainliest help me plsss
Answer:
the slope in the equation is 5, while the slope on the graph is 2
list all symmetry groups that are the symmetry groups of quadrilaterals and for each group sketch a quadrilateral
The quadrilaterals which have both line and rotational symmetry of order more than 1 are square, and rhombus
Symmetry is a fundamental concept in mathematics and geometry. It refers to the property of a shape that remains unchanged when it is transformed in a certain way.
Now, let's talk about quadrilaterals that have both line and rotational symmetry of order more than 1. One example of such a quadrilateral is a square.
Another example of a quadrilateral with both line and rotational symmetry of order more than 1 is a rhombus. A rhombus is a type of quadrilateral where all four sides are equal in length, and opposite angles are equal.
In summary, a square and a rhombus are examples of quadrilaterals that have both line and rotational symmetry of order more than 1.
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Complete Question:
Name the quadrilaterals which have both line and rotational symmetry of order more than 1.
how to find the value of each variable
On solving the provided question, we can say that in the quadrilateral z = 180 - 111 = 69 and y = 360 - (97 + 83 + 69) = 360 - 249 = 111
what is quadrilateral?A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
here,
in the quadrilateral
z = 180 - 111 = 69
and y = 360 - (97 + 83 + 69) = 360 - 249 = 111
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I NEED AN ANSWER!! PLEASE
Solve for x: 5(x + 3) = 4(x − 3) (1 point) −18 −27 −3 −6
Answer:
\(-27\)
Step-by-step explanation:
\(5(x+3)=4(x-3) \\ \\ 5x+15=4x-12 \\ \\ x+15=-12 \\ \\ x=-27\)
.What is the correct expanded form for the number 84.76?
Answer:
this is the awnser: 80 + 4 + 0.7 + 0.06
Answer:
23,958 =
20,000
+ 3,000
+ 900
+ 50
+ 8
Expanded Factors Form:
23,958 =
2 × 10,000
+ 3 × 1,000
+ 9 × 100
+ 5 × 10
+ 8 × 1
Expanded Exponential Form:
23,958 =
2 × 104
+ 3 × 103
+ 9 × 102
+ 5 × 101
+ 8 × 100
Step-by-step explanation:
if trap is an isosceles trapezoid, what is the value of x?
The value of X is 22.
What is value?Value is regard that something is held to deserve, the important worth or usefullness of something.
The calculation is as follows:
In the case of an isosceles trapezoid if there is any lower base angle is supplementary to any upper base angle.
So,
6x + 2x + 4 = 180
8x + 4 = 180
8x = 176
x = 22
Therefore we can conclude that The value of X is 22.
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Write an expression for the area of each section of the wall.
***NOTE, that x is the TOTAL length of the rectangle so you can't call x the length of each of the 5 sections.
Answer:
50
Step-by-step explanation:
10*5=50
Hello, I need help on this \(2x - 3y = 4\)\(5x + 2y = - 9\)
Given:
\(\begin{gathered} 2x-3y=4 \\ \\ 5x+2y=-9 \end{gathered}\)Required:
To calculate the value of x and y
Explanation:
\(\begin{gathered} 2x-3y=4 \\ \\ 5x+2y=-9 \\ \\ rearrange\text{ the like terms to the same side of the equation} \\ \\ 2x-3y=4 \\ \\ 2y=-9-5x \\ \\ divide\text{ bpth sides of the equation by the coefficient of variable} \\ \\ y=\frac{-9-5x}{2} \\ \\ substitute\text{ into one of the equation} \end{gathered}\)\(\begin{gathered} 2x-3\times\frac{-9-5x}{2}=4 \\ \\ solve\text{ the equation } \\ \\ 4x-3(-9-5x)=4\times2 \\ \\ 4x+27=4\times2 \\ \\ 19x+27=8 \\ \\ 19x=8-27 \\ \\ 19x=-19 \\ \\ x=-1 \end{gathered}\)\(\begin{gathered} substitute\text{ value of x in the equation we get} \\ \\ y=\frac{-9-5\times(-1)}{2} \\ \\ solve\text{ the equation we get} \\ \\ y=-2 \end{gathered}\)Required answer:
X=-1
Y=-2
A baby girl weighed 18 lb 10 oz at 11 months and 20 lb 2 oz at 12 months. How much weight did the baby gain during this month?
(1 lb = 16 oz)
would it be 2lb 2oz???
or
A. 1 lb 2 oz
B. 1 lb 8 oz
C. 2 lb 2 oz
D. 2 lb 8 oz
Answer:
B
Step-by-step explanation:
6 oz, 19lb
1 lb, 20lb
2 oz, 20lb 2oz
6oz+2oz+1lb= 1lb 8oz
1. A cat sanctuary was holding an adoption event. The cats available for adoption were five
Siamese, three Norwegian Forest Cats, two Sphynxes, and one Bengal. An adopter
wanted to take home four cats that were chosen at random.
a) What is the total number of ways the four cats can be selected?
b) what is the probability that the cats selected contains only siamese cats?
The total number of ways to select the four cats are 330 and The probability that the cats selected contains only siamese cats is 0.36.
What is the combination?
A combination is a selection of all or a portion of a group of items, regardless of the order in which the items are chosen. Consider a group of three letters, such as A, B, and C. we might ask how many ways we can select 2 letters from that set.
Total Cats = Total Possible Outcomes = 5 + 3 + 2 + 1 = 11
Probability = No. of Possible Outcomes / No.of total outcomes
To calculate combinations : \(_n C_r=\frac{n !}{r ! (n-r) !}\)
where n = total number of items,
r = the number of items being chosen at a time.
a) The total number of ways to select the four cats = nCr = n! / r! * (n - r)!
\(_{11} C_4 = \frac{11!} {4! (11! - 4!)}\)
\(_{11} C_4 = \frac{11!}{4! * 7!}\)
11C4 = 330
b) The probability that the cats selected contains only Siamese cats is:
P = 4/11
P = 0.36
Hence, the total number of ways to select the four cats are 330 and The probability that the cats selected contains only siamese cats is 0.36.
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has a perimeter of 52 feet. Let W be the width, L be the length, and P be
the perimeter, all with units in feet.
a. Given two sets of four rectangles, find one rectangle in each set that could have a
perimeter of 52 feet.
b. Which of the symbols W, L, and P are variables?
c. Which of the symbols W, L, and P are constants?
A rectangle that could have a perimeter of 52 feet is a 12 feet by 14 feet rectangle.
The symbols W and L are variables.
The symbol P is a constant.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(L + W)
52 = 2(12 + 14)
52 = 2(26)
52 feet = 52 feet.
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Paul is comparing the cost of cell phone services. At CellCoA, the phone he wants costs $305 and the unlimited calling plan costs $45 per
month. At CellCoB, Paul can purchase the same phone for $350 and get an unlimited calling plan for $30 per month. In how many months
will both plans cost the same?
These equations, which are graphed below, represent the situation.
y = 45x + 305
y= 30x + 350
Here, x represents the
number of months and y represents the amount paid.
80
70
60
10)
Answer:
440
Step-by-step explanation:
305+ (45*3)= 440
350+ (30*3)= 440
NEED ANSWER PLZZZZ!!!!!
Which inequality is represented by this graph?
A. x greater-than 3
B. x greater-than-or-equal-to 3
C. x greater-than 4
D. x greater-than-or-equal-to 4
Answer:
D.
Step-by-step explanation:
help help help help help
Answer: 2.48
Step-by-step explanation:
2.48+4.02=6.5
ayuda porfavor
necesito resolver esto es simplificarlo no resolverlo ayuda pls
The Simplification of the algebraic expression gives:
a. -2/3x² - (4/15)xy + (11/4)y²
b. -(12/7)x³ + (20/9)y
How to simplify algebraic expressions?Simplification of an algebraic expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression
a. (1/3)x² - (2/5)xy + 2y² + (2/15)xy - 3x² + (3/4)y²
To simplify this, add or subtract like terms. That is:
(1/3)x² - (2/5)xy + 2y² + (2/15)xy - 3x² + (3/4)y²
= (1/3)x² - 3x² - (2/5)xy + (2/15)xy + 2y² + (3/4)y²
= -2/3x² - (4/15)xy + (11/4)y²
b. (2/7)x³ - (1/3)y + 2y - 2x³ + (5/9)y
To simplify this, add or subtract like terms. That is:
(2/7)x³ - (1/3)y + 2y - 2x³ + (5/9)y = (2/7)x³- 2x³ - (1/3)y + 2y + (5/9)y
= -(12/7)x³ + (20/9)y
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A to City B. In 5 days, they have traveled 2,075 miles. At this rate, how long will it take them to travel from City A to City B?
In the question, we can draw the conclusion that, according to the formula, it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.
What is formula?A formula is a set of mathematical signs and figures that demonstrate how to solve a problem.
Formulas for calculating the volume of \(3D\) objects and formulas for measuring the perimeter and area of \(2D\) shapes are two examples.
A formula is a fact or a rule in mathematical symbols. In most cases, an equal sign connects two or more values. If you know the value of one, you can use a formula to calculate the value of another quantity.
We need to know the average pace at which they went to figure how long it would take to get from City A to City B at the same rate.
total distance / time taken = average speed
\(415 miles\) per day \(2075/ 5\), it would take them \(10\) days to get from City A to City B because
Time taken = \(2075/415\) per days \(= 5 days\)
Therefore it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.
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El producto de los términos de una fracción equivalente a 4/17 es 272. Hallar el denominador de la fracción.
Answer:
ktjh
Step-by-step explanation:
A line has a slope of -5 and
passes through the point
(0, -7). What is its equation in
slope-intercept form?
Write your answer using integers,
proper fractions, and improper
fractions in simplest form.
Janice and Emily are selling raffle tickets. So far they have sold 42 tickets, which is 12% of what they're trying to sell. How many tickets total are they trying to sell?
Answer:
350 tickets
Step-by-step explanation:
if you do 42/350, it would equal 12%, so 350 is the total
1
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Consider the functions given below.
Match each expression with its simplified form.
arrowRight
arrowRight
Matching the expressions with their simplified forms,
P(x) × Q(x) = -12/(9x² -9x + 2)
P(x) ÷ Q(x) = (-3x + 2)/(9x - 3)
Consider the functions given below.
P(x) = 2/(3x - 1)
Q(x) = 6/(-3x + 2)
The expression for P(x) is:
P(x) = 2/(3x - 1)
The expression for Q(x) is:
Q(x) = 6/(-3x + 2)
We need to match each of the given expressions with its simplified form:
P(x) × Q(x) =
P(x) ÷ Q(x) =
To simplify these expressions, we need to apply the rules for multiplying and dividing fractions.
P(x) × Q(x) is the product of two fractions, so we can multiply their numerators and denominators:
P(x) × Q(x) = (2/(3x - 1)) × (6/(-3x + 2))
= (2 × 6)/((3x - 1) × (-3x + 2))
= -12/(9x² -9x + 2)
Therefore, the simplified form of P(x) × Q(x) is -12/(9x² -9x + 2).
To divide two fractions, we can multiply the first fraction by the reciprocal of the second fraction:
P(x) ÷ Q(x) = (2/(3x - 1)) ÷ (6/(-3x + 2))
= (2/(3x - 1)) × ((-3x + 2)/6)
= (-3x + 2)/(9x - 3)
Therefore, the simplified form of P(x) ÷ Q(x) is (-3x + 2)/(9x - 3).
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