We get the values of RS and RT as 6 and 17 respectively after solving the equations.
We are given the equations:
RS = 2x - 8
ST = 11
RT = x + 10
Now, we know that:
RS + ST = RT.
Substituting the values, we get that:
2 x - 8 + 11 = x + 10
2 x + 3 = x + 10
2 x - x = 10 - 3
x = 7
Now substituting it to find RS and RT:
RS = 2 x - 8
RS = 2 ( 7 ) - 8
RS = 14 - 8
RS = 6
RT = x + 10
RT = 7 + 10
RT = 17
Therefore, we get the values of RS and RT as 6 and 17 respectively after solving the equations.
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taylor has 85 cents in imes and nickels in her pocket. the number of dimes is four more than the number of nickels. How many of each coin does she have?
Answer:
3 nickels and 7 dimes.
Step-by-step explanation:
Let +n+ = number of nickels
Let +d+ = number of dimes
-----------------------------
(1) +5n+%2B+10d+=+85+
(2) +d+=+n+%2B+4+
----------------------------
Substitute (2) into (1)
(1) +5n+%2B+10%2A%28+n+%2B+4+%29+=+85+
(1) +5n+%2B+10n+%2B+40+=+85+
(1) +15n+=+45+
(1) +n+=+3+
and
(2) +d+=+n+%2B+4+
(2) +d+=+3+%2B+4+
(2) +d+=+7+
---------------------
There are 3 nickels and 7 dimes
-------------------------------
check:
(1) +5n+%2B+10d+=+85+
(1) +5%2A3+%2B+10%2A7+=+85+
(1) +15+%2B+70+=+85+
(1) +85+%2B+85+
OK
There are 100 marbles in a bag. 16 are green, 32 are blue, 17 are red, 29 are yellow, and 6 are orange. True or False: 68% of the
marbles are blue
Answer:
False
Step-by-step explanation:
32 marbles are blue
32/100 = 32%, not 68%
!!!100 POINTS!!! Correct answer gets brainliest.
The total payroll for a baseball team is 2.37 x 109 dollars, and the total payroll for a football team is 2.8 x 1011 dollars. How many more dollars is the football team's total payroll than the baseball team's total payroll?
4.3 x 1011 dollars
2.7763 x 1011 dollars
2.7763 x 109 dollars
0.43 x 109 dollars
Based on the total payroll of the football team and the total payroll of the baseball team, the difference is 2.7763 x 10¹¹
What is the difference in payroll?The total payroll of the baseball team is:
= 2.37 x 10⁹
= $2,370,000,000
The total payroll of the football team is:
= 2.8 x 10¹¹
= $280,000,000,000
The difference is:
= 280,000,000,000 - 2,370,000,000
= $277,630,000,000
In scientific notation this is:
= 2.7763 x 10¹¹
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Answer:
b 2.7763 x 1011
Step-by-step explanation:
Are these a function or not? Will give BRAINLEIST
Answer:
D:function, E:not a function
Step-by-step explanation:
We can figure this out using the line test. To do the line test you draw multiple straight, vertical lines along the graph, and if at any point the figure in question touches one of the lines multiple times, that figure is not a function.
:D
Can you please help me
Answer:
1) -√9
2) √18
3) |4.5|
Step-by-step explanation:
-√9 = -3
√18 = 4.2426406871 = 4.2
|4.5| = 4.5
↑
Absolute value - Those two lines mean that any number, positive or negative, will be positive.
Hope this helps :)
14. 5.2v-6-8.5v simplify
The answer of the given equation will be -6 - 3.3v
For doig the sum we need to first know what is algebric simplification
So Algebric Simplification is basically is writting the same algebric expression with no same term in a compact manner. For solving the simplification weed to first group the like terms and solve the brackets first if any then in that simplified equation we will be left with unlike variables that cannot be simplified further.
To make it more easier remember the rule of BODMAS it stands for Brackets Of Dvision Multiplication Addition Substraction in any sum where it will be asked to simplify any expression we will go by the order of the above BODMAS rule first we will solve the brackets after that divisions then multiplications followed bty addition and subtraction .
In the given sum as these r not given we will simply group the expressions with alike variable that is (5.2v - 8.5v) which will result in - 3.3v and we cannot to do any further calculations so the answer will be -6 - 3.3v
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can someone help me with this
Step-by-step explanation:
so it starts with
182 = 182 × 3 / p
as the price is inversely related to D.
(a)
so, in general
D = 182 × 3/p = 546/p
(b)
D = 546/3.25 = 168 bags
if the price increases to $3.25, then they will sell only 168 bags.
I am sure, the function will not stay linear for every value of p. for example, if they increase the price to $546 per bag, they would still sell 1 bag. but I am certain, they would fall to 0 sold bags much, much earlier than that ...
In Exercises 1–10, determine whether each relation is a function.
Give the domain and range for each relation.
7 . {(-3, -3), (-2, -2), (-1, -1), (0, 0)}
9. {(1, 4), (1, 5), (1, 6)}
The relation 7 is a function and the relation 9 is not function.
How to determine whether each relation is a function?Relation 7
The relation is given as
{(-3, -3), (-2, -2), (-1, -1), (0, 0)}
For a relation to be a function, no x value must point to multiple y value
Using the above statement as a guide, the relation is a function.
This is so because each domain value {-3, -2, -1, 0} point to different range value {-3, -2, -1, 0}
Function 9
The relation is given as
{(1, 4), (1, 5), (1, 6)}
For a relation to be a function, no x value must point to multiple y value
Using the above statement as a guide, the relation is not function.
This is so because each domain value {1} point to the same range value {4, 5, 6}
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is 35 over 56 a improper fraction and is 144 over 196 a improper fraction
when Dallas committed to work one morning his average speed was 45 mph. On the return trip he average only 35 mph. Due to congestion on the highway if the total traveling time for the round-trip is 50 minutes 5/6 of an hour find the distance between Dallas‘s workplace and home
The required distance is 16.40 km.
This problem can be solved if we know the concept of speed, time and distance.
We know the speed=[tex]\frac{distance}{time}[/tex]
To solve the problem let us assume that the total distance between the workplace and home is x km.
Given that his speed while going from home to work is 45 mph and while returning is 35 mph.
Time for the complete journey is [tex]\frac{5}{6}hr[/tex].
Now according to question;
[tex]\frac{x}{45}+\frac{x}{35}=\frac{5}{6}[/tex]
⇒[tex]\frac{7x+9x}{315}=\frac{5}{6}[/tex]
⇒[tex]16x=\frac{5*315}{6}[/tex]
⇒ [tex]x=\frac{5*315}{6*16}[/tex]
∴ [tex]x=16.40\ km[/tex]
So, the required distance is 16.40 km.
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What is 51 rounded to the nearest tenth subtracted by 20?
i need an answer!! (marking as brainliest)
Answer: I hope this helps.
Step-by-step explanation:
please help asap and explain how you got it so i can understand.
Answer:
q = 6
Step-by-step explanation:
|q - 8| = 14
The negatives within an absolute value turn positive so it's really:
q + 8 = 14
q = 6
Sports regulations usually give the sizes and weights of most sports equipment over a range of values. For each type of sports equipment, the diameters and weights to the appropriate type of ball are given in the accompanying table.
A box contains 30 baseballs. Write a compound inequality that shows the range of the weight of the balls. Graph the inequality.
Type of Ball Range of Diameters Range of Weights Tennis ball 2 1/2 inches to 2 5/8 inches no less than 2 ounces, no greater than 2 1/6 ounces Baseball 2 7/8 inches to 3 inches 5 to 5 1/4 ounces Basketball (women's) no less than 9.07 inches, no greater than 9.23 inches no less than 20 ounces, no greater than 22 ounces Soccer ball (size 5) no less than 21.64 inches, no greater than 22.28 inches 14.46 ounces to 15.87 ounces
The compound inequalities for all the balls that are sports regulated are { (x,y) : 2(1/2) ≤ x ≤ 2(5/8) and 2 ≤y≤ 2(1/6) } for Tennis ball.
{ (x,y) : 2(7/8) ≤ x≤ 3 and 5≤ y ≤ 5(1/4) } for Baseball.
{ (x,y) : 9.07 ≤ x ≤ 9.23 and 20 ≤ y ≤ 22 } for women's Basket ball.
{ (x,y) : 21.64 ≤x ≤ 22.28 and 14.46 ≤ y ≤ 15.87 } for Scoccer Ball.
What is the correct way of pronouncing a set in roaster form?Suppose we are given { (x,y) : 9.07 ≤ x ≤ 9.23 and 20 ≤ y ≤ 22 } this reads as The set of all x comma y such that x is between this range and y is between in this range.
Sports regulations have some rules that the diameters and weights of sports pieces of equipment must lie between the regulations that have been set.
We are denoting the Diameters of the balls as x in inches and the weights of the balls as y in ounces.
Now for a Tennis ball the range for x and y can be written in roaster form of set is { (x,y) : 2(1/2) ≤ x ≤ 2(5/8) and 2 ≤y≤ 2(1/6) }.
For Baseball it is { (x,y) : 2(7/8) ≤ x≤ 3 and 5≤ y ≤ 5(1/4) }.
For women's Basketball it is { (x,y) : 9.07 ≤ x ≤ 9.23 and 20 ≤ y ≤ 22 }.
For Soccer ball the set in roaster form can be written as
{ (x,y) : 21.64 ≤x ≤ 22.28 and 14.46 ≤ y ≤ 15.87 }.
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((12-4)(3-2))^2 + square root of 64
Answer: 72
Step-by-step explanation: First step that I did was to subtract 12 and 4 to get 8. I then subtracted 3 and 2 to get 1. Then since 8 and 1 are in the parenthesis, I multiplied 8 and 1 to get 8. 8 to the 2nd power then comes out to 64. 64 adding the square root of 64 which is 8 then comes out to 64 plus 8 because the square root of 64 is 8. 64 plus 8 equals 72.
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Given g(x) = 2x + 3, find g(0).
Answer:
g(0) = 3
Step-by-step explanation:
Hello!
Substitute 0 for x in the equation.
Evaluateg(x) = 2x + 3g(0) = 2(0) + 3g(0) = 0 + 3g(0) = 3g(0) is 3.
question is in picture please help
Answer:
[tex] \sf {a}^{6} [/tex]
Step-by-step explanation:
Given expression
[tex] \sf \: {a}^{0} \: • \: \: {a}^{6} [/tex]
To find expression solution
power rule[tex] \sf \: {a}^{m} \: {a}^{n} = {a}^{m + n} [/tex]
[tex] \sf {a}^{0} + {a}^{6} = {a}^{0 + 6} [/tex]
[tex] \sf \therefore \: {a}^{6} [/tex]
[tex] \: \Large \mathbb{SOLUTION:}[/tex]
[tex] \: \: \rm{ {a}^{0} \times {a}^{6} }[/tex]
[tex] \: \: \text{Calculate the power }[/tex]
[tex] \: \: \underline{\underline{\rm{{a}^{6} }}}[/tex]
What are the possible values of x for the following functions? F(x)=2-x / x(x-1)
Answer:
[tex]x \in \mathbb{R}-\{0,1\}[/tex]
Step-by-step explanation:
The denominator cannot be 0 (since division by 0 is undefined), meaning x cannot be 0 or 1.
So, the domain is
[tex]x \in \mathbb{R}-\{0,1\}[/tex]
Points A and B have coordinates A(-4, 2) and B(3,-6). Find the coordinates of point P, the weighted average of points A and B, in which point A
has a weight of 2 and point 8 has a weight of 5.
A) (-2,-²)
B) (-2)
C) (1,-)
D) (1,-13)
Answer:
C) P(1, -26/7)
Step-by-step explanation:
You want the weighted average of A(-4, 2) and B(3,-6) using weights 2 and 5, respectively.
Weighted averageEach of the values is multiplied by the corresponding weight, and the sum of those products is divided by the total of the weights to obtain the weighted average.
P = (2A +5B)/(2+5)
P = (2(-4, 2) +5(3, -6))/7 = (-8 +15, 4 -30)/7 = (7, -26)/7
P = (1, -26/7)
The coordinates of P are (1, -26/7).
Solve for m
m + k ÷ h = w
Literal Equations
Answer:
m+k=hw
m=hw-m
always conside BODMAS rule and subject
Solve by using the quadratic formula. Express the solution set in exact simplest form. y^2-7y-9=0
[tex]~~~~~~~~~~~~\textit{quadratic formula} \\\\ \stackrel{\stackrel{a}{\downarrow }}{1}y^2\stackrel{\stackrel{b}{\downarrow }}{-7}y\stackrel{\stackrel{c}{\downarrow }}{-9}=0 \qquad \qquad y= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ y= \cfrac{ - (-7) \pm \sqrt { (-7)^2 -4(1)(-9)}}{2(1)} \implies y = \cfrac{ 7 \pm \sqrt { 49 +36}}{ 2 } \\\\\\ y= \cfrac{ 7 \pm \sqrt { 85 }}{ 2 }\implies y= \begin{cases} \frac{ 7 + \sqrt { 85 }}{ 2 }\\[1em] \frac{ 7 - \sqrt { 85 }}{ 2 } \end{cases}[/tex]
In 2019, Company A purchased a commercial building with 8 retail units for $4,200,000. In 2021, Company A decided to sell this building for $4,500,000. Interpret the change as a percentage. Round to the nearest hundredth.
The change as a percentage is 6.7 %
How to calculate the percentage change ?The price of the building in the year 2021 is $4,200,00
The price of the building in 2021 is $4,500,000
Therefore the percentage change can be calculated as follows
= 4,500,000 - 4,200,000/4,500,000 × 100
= 300,000/4,500,000 × 100
= 0.066 × 100
= 6.7 %
Hence the percentage change is 6.7%
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A square that is 6 m on a side is placed inside a rectangle that has a width of 11 m and a length of 18 m. What is the area of the region inside the rectangle that surrounds the square?
The area of the region inside the rectangle that surrounds the square is; 162 square meters
How to find the area of regular shapes?
We are given that;
Side length of square = 6 m
Width of rectangle = 11 m
Length of rectangle = 18m
Thus;
Area of rectangle = width * length = 11 * 18 = 198 square meters
Area of square = side * side = 6 * 6 = 36 square meters
Area of region inside rectangle not inside square = (area of rectangle) - (area of square) = 198 - 36 = 162 square meters
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What is the relationship between the volume and surface area of the sphere shown?
V>SA
OV
OV=SA
Answer: mark as brainliest please
Step-by-step explanation:
V=4/3 x 3.14 x 3^3
V= 113.04
SA= 4 x 3.14 x 3^2
SA= 113.04
solve for u.
(u-7) (u - 13)=0
Answer:
u = 7 OR u = 13
Step-by-step explanation:
Using the zero property of multiplication, you know you have to make either u-7 or u-13 equal to zero. You get the two solutions from these two cases, where you make either of the equations equal to 0:
u - 7 = 0
Add 7 to both sides
u = 7
u - 13 = 0
Add 13 to both sides
u = 13
FINAL ANSWER: u = 7 OR u = 13
find 1/3 + 3/43 sums and differences
Answer:
52/129
Step-by-step explanation:
during last year my car depreciated by 30%. If the value of my car is $25,000 today, then what was the value of my car one year ago?
The value of my car one year ago was $35,714.3
INTEREST FORMULA: The interest formula includes two types of interests - simple interest and compound interest. Interest is the cost a borrower pays a lender for a loan. This additional sum, or the interest, must be paid in addition to the loan itself. The compound interest formula and the simple interest formula are both discussed in the interest formula.
Present value of the car = A = $25,000
Depreciation rate = r = 30% per annum
Time = t = 1 year
Let the initial value be p
We know the formula, A = P(1 – r/100)^t
$25,000 = P [1 – 30/100] ^1
$25,000 = P (7/10)
P = (25,000 * 10) / 7
P = $35,714.3
Therefore, One year ago, my car's value was worth $35,714.3.
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Write the improper fraction 30/7 as a mixed number
Answer:
Step-by-step explanation:
30/7 = 4 2/7
Because 7 only goes into 30, four times (7 x 4 = 28) anything else would be too big.
7 goes into 30 four times, and you get left with a remainder of 2
So you write 4 wholes, then 2/7 because 2 is the remainder it goes on top, and 7 stays in the denominator (bottom)
-1/3y+4x=3 solve for y
Answer: y = 12x − 9
Step-by-step explanation:
Let's solve for y
-1/3y +4x = 3
Step 1: Add -4x to both sides.
4x + -1/3y + -4x = 3 + -4x
-1/3y = -4x+3
Step 2: Divide both sides by (-1)/3.
-1/3y / -1/3 = -4x+3 / -1/3
y = 12 - 9
The length of a rectangle is 4yd longer than its width.
If the perimeter of the rectangle is 68yd, find its length and width.
Answer:
Length= 19 yd
Width= 15 yd
Step-by-step explanation:
The perimeter of a rectangle is the sum of the lengths of all its sides.
Mathematically, it can be represented as below:
[tex]\boxed{\text{Perimeter of rectangle}=2\text{(length}+\text{width)}}[/tex]
Define variables used:
Let the length and width of the rectangle be L and W yards respectively.
Form an equation:
Given that the length of the rectangle is 4 yards longer that the width,
L= W +4 -----(1)
Next, form another equation using information on the perimeter.
68= 2(L +W) -----(2)
Substitute equation (1) into (2):
68= 2(W +4 +W)
68= 2(2W +4)
Divide both sides by 2:
34= 2W +4
Subtract both sides by 4:
2W= 34 -4
2W= 30
Divide both sides by 2:
W= 30 ÷2
W= 15
Substitute W= 15 into (1):
L= 15 +4
L= 19
Therefore, the length and width of the rectangle is 19 and 15 yards respectively.
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