Express the ratio below in its simplest
form.
14:7:21
The sum of two consecutive numbers is 91. Find the numbers
Answer:
45 and 46
Step-by-step explanation:
let x = the smaller number
thus, x + 1 is the next consecutive number
x + x + 1 = 91
2x + 1 = 91
2x = 90
x = 45
x + 1 = 46
Answer:
1 + x = 1 + 45 = 46, so the 2 consecutive numbers are 45 and 46, when added, gives the sum of 91..
HOPE IT HELPS
The circle has a center of S. Suppose that m
Answer:
a) m line over OR=108 degrees =0.6[tex]\pi[/tex]
b) m <QSR=108 degrees
Step-by-step explanation:
PLEASE HELP ME WITH THIS ASAP AND SHOW WORK PLEASE
A: f(x)=8x-2
1. Switch the f(x) to y
y=8x-2
2. Switch y to x and x to y
x=8y-2
3. Solve for y:
------------------------------
1. Add 2 to both sides.
x=8y-2
+2 +2
2. Divide both sides by 8.
x+2=8y
--- ---
8 8
1/8x+1/4=y
3. Write in f-inverse form
f^-1(x)=1/8x+1/4
B: g(x)=2/3x+6
1. Switch the g(x) to y
y=2/3x+6
2. Switch y to x and x to y
x=2/3y+6
3. Solve for y:
------------------------------
1. Subtract 6 from both sides.
x=2/3y+6
-6 -6
2. Multiply both sides by 3/2 (to cancel out the 2/3)
x-6=2/3y
2/3x-4=y
3. Write in f-inverse form
g^1(x)=2/3x-4
C: h(x)-4x-12
1. Switch the h(x) to y
y=-4x-12
2. Switch y to x and x to y
x=-4y-12
3. Solve for y:
------------------------------
1. Add 12 to both sides.
x=-4y-12
+12 +12
2. Divide both sides by -4
x+12=-4y
------ ---
-4 -4
-1/4x-3=y
3. Write in h-inverse form
h^2(x)=-1/4/x-3
Maggie makes $57,600 a year. Estimate how much she can afford to pay for rent each month if she budgets 27% of her gross monthly income.
She can afford to pay $1296 per month.
How much can Maggie afford to pay?Given that Maggie makes $57,600 a year, to determine how much she can afford to pay for rent each month if she budgets 27% of her gross monthly income, the following calculation must be performed:
100 = 5760027 = X27 x 57600 / 100 = X27 x 576 = X15552 = X15552 / 12 = 1296Therefore, she can afford to pay $1296 per month.
Learn more about calculus in https://brainly.com/question/14478573
How can cell Survival be predicted
Answer:
Introduction. Cellular survival depends on an organism's ability to respond and adapt to extracellular signals in its environment. Signal transduction is, therefore, an important biologic process, allowing cells to react to a variety of these extracellular stimuli and respond adaptively.
Why do you think there were more than 20 riots across the nation that summer
Answer:
beacuse it was so hot and people were stealing alot and thir king suks
Step-by-step explanation:
Answer:
In the summer of 1919, over 20 race riots broke out across the nation. The worst violence occurred in Chicago. African Americans went to White Beach only and that started violence. Each sides started throwing stones at each other, and a person drowned. A full-scale riot then erupted in the city. Angry African Americans attacked white neighborhoods while whites attacked African American neighborhoods. In the end, 38 people died—15 white and 23 black—and over 500 were injured. The most serious racial outbreak occurred in Chicago late in July of the Red Summer. A African American drifted into water that was customarily used by whites, White swimmers commanded him to return to his part of the beach, and some threw stones at him. The man drowned and that caused a riot between African American and White people. 38 people had been killed, including 15 whites and 23 blacks. Hope this helps!
if a hexagon is worth 5 and a triangle is worth 3, what is circle?
Answer:
A circle has a worth of 0. If your talking about the corners.
11.94-6.99 divided by .55
A candlestick burns at a rate of 0.2 inches per hour. After eight straight hours of burning, the candlesticks 13.4 inches tall. Write and solve a linear equation to find the original height of the candle.
Answer:
w43324424
Step-by-step explanation:
Answer:the original height of the candle is 14.8 inches
Step-by-step explanation:A Candlestick burns at a rate of 0.2 inches per hour. It means that the height of the candle is decreasing by 2 inches per hour. This decrease is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed asTn = a + (n - 1)dWhere a represents the first term of the sequence.d represents the common difference.n represents the number of terms in the sequence.From the information given,d = - 0.2 (it is decreasing)n = 8T8 = 13.4 inchesWe want to determine the value of the first term, a. Therefore,13.4 = a - 0.2(8 - 1)13.4 = a - 1.4a = 13.4 + 1.4 = 14.8 inches
On the interval , at which x-value is the average rate of change 56?.
On the interval {x, 7} , the x-value at which the average rate of change is 56, is 4 and 7.
How to read the data from the table?Table is a way to represent the data of the two or more variable.
To read the data from the table, look for the value of one variable, and get the resultant value of other variable from the corresponding block.
The table of the given x value is,
x 3, 4, 5, 6, 7
f(x) 12, 24, 28, 96, 192
The average rate of change of value is the ratio of overall change of function output value to the input value.
For the input values of 4 and 7 let's find the average rate of change,
[tex]r=\dfrac{192-24}{7-4}\\r=\dfrac{168}{3}\\r=56[/tex]
Hence, on the interval {x, 7} , the x-value at which the average rate of change is 56, is 4 and 7.
Learn more about the data table here;
https://brainly.com/question/15602982
Answer:
4
x-value is the average rate of change 56
Kiran’s backpack weighs 3 pounds less than Clare’s backpack. Clare’s backpack weighs 14 pounds. How much does Kiran’s backpack weigh? WHICH ANSWER IS CORRECT
x+3=14
3x=14
x=14−3
x=143
Answer:
[tex]x = 14 - 3[/tex]
Step-by-step explanation:
*The key word 'less than' means to subtract.
x + 3 = 14 is incorrect. Kiran isn't adding weight to his backpack.
In other words, the backpack didn't increase in pounds.
3(x) = 14 is incorrect. Multiplying is irrelevant to this problem, it's not saying Kiran's backpack is 3 times a number equal to Clare's backpack weight.
x = 143 is incorrect. This equation is unrealistic.
x = 14 - 3 is correct. This equation is explaining that Kiran's backpack is 3 pounds less than Clare's backpack (14)
. A triangle has side lengths 6, 11, and 13. Is the triangle acute, obtuse, or right? Explain.
ok- i need help!
what's this ......
6(x+9)=9
Answer:
[tex]x=-\frac{15}{2}[/tex]
Step-by-step explanation:
Start by distributing the 6 to each of the terms in the parentheses:
6(x)+6(9)=9
6x+54=9
Subtract 54 from both sides
6x+54-54=9-54
6x=-45
Divide both sides by 6
x=-45/6
Divide the fraction by 3/3 since it is the greatest common factor of 45 and 6. Note we can only do this since 3/3 is equivalent to 1, so we are essentially dividing the fraction by 1.
x=-15/2
[tex]\huge \boxed{\tt x= - 7.5}[/tex]
Step-by-step explanation:
First write the equation[tex] \to \sf6(x+9)=9[/tex]
[tex] \\ \\ [/tex]
Divide the 6 to 9 which is multiplying (x + 9) .[tex] \to \sf(x+9)= \dfrac{9}{6} [/tex]
[tex] \\ \\ [/tex]
Divide numerator and denominator in right side by 3[tex] \to \sf(x+9)= \dfrac{3}{2} [/tex]
[tex] \\ \\ [/tex]
Subtract 3/2 with 9[tex] \to \sf x= \dfrac{3}{2} - 9[/tex]
[tex] \\ \\ [/tex]
[tex] \to \sf x= \dfrac{3 - 18}{2} [/tex]
[tex] \\ \\ [/tex]
After subtracting we will get our product as - 15/2[tex] \to \sf x= \dfrac{ - 15}{2} [/tex]
[tex] \\ \\ [/tex]
Round of -15 / 2 to get product as - 7.5
[tex] \to \sf x= - 7.5[/tex]
Verification:
6(x+9)=9
6(- 7.5 +9) = 9
6 × 1.5 = 9
9 = 9
Hence verified ~☆
please help me find the lateral surface area of this
Answer:
96cm
Step-by-step explanation:
What value of y makes this true? 12+y>17
Answer:
5 if the value of y become 5 it makes this true
Hi! Let's solve this inequality!
Move 12 to the right side, using the opposite operation.
y>17-12
y>5
Thus, any value of y greater than 5 will make this inequality true.
Let's try 6, since 6 is greater than 5.
12+6>17
18>17
Yeah, it worked :)
Thus, any value of y greater than 5 will make this inequality true.
Hope it helps!
Enjoy your day!
Please feel free to ask if you have any doubts.
[tex]\bf{M^a^g^i^c^a^l[/tex]
Can someone explain to me how to do this? I just don't get it.
Answer:
x=130
Step-by-step explanation:
triangle=180
180-34-96=50
line=180
180-50=130
The table represents some points on the graph of an exponential functio
X
f(x)
2
36
3
54
4
81
5
121.5
6
182.25
Which function represents this relationship?
F f(x) = 16
Nw
G f(x) =
= 16
Nm
H f(x) = 36
ਹੈ।
f(x) = 36
WIN
The exponential function represented in the table is given by:
[tex]F(x) = 16\left(\frac{3}{2}\right)^x[/tex], which means that option F is correct.
What is an exponential function?It is modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.Considering the table, that has points (2,36) and (3,54), we have that:
[tex]36 = ab^2[/tex]
[tex]a = \frac{36}{b^2}[/tex]
[tex]54 = ab^3[/tex]
[tex]54 = \frac{36}{b^2} \times b^3[/tex]
[tex]36b = 54[/tex]
[tex]b = \frac{3}{2}[/tex]
Hence:
[tex]y = a\left(\frac{3}{2}\right)^x[/tex]
When x = 2, y = 36, hence:
[tex]y = a\left(\frac{3}{2}\right)^x[/tex]
[tex]36 = a\left(\frac{3}{2}\right)^2[/tex]
[tex]\frac{9}{4}a = 36[/tex]
[tex]a = 16[/tex]
Hence, the function is:
[tex]F(x) = 16\left(\frac{3}{2}\right)^x[/tex], which means that option F is correct.
More can be learned about exponential functions at https://brainly.com/question/25537936
a. 5,68 ÷ 3,4
b. 987,3 ÷ 2,13
c. 34,23 ÷1,5
Put how you get to the result pls
Answer:
a: 1.6705882352941
b:463.52112676056
c: 22.82
What is 900 to the 6th power?
Answer:
5,314,411,000,000,000,000
Step-by-step explanation:
5.31441* 10^17 = 5,314,411,000,000,000,000
29-{-36-(-27-31)+40}
Answer:
-33
Explanation:
29-(-36-(-27-31)+40)=
29-(-36-(-56)+40)=
29-(-36+58+40)=
29-62=-33
Which table represents a function? please help I will give brainlist
Answer:
the second table on the bottom
Step-by-step explanation:
To be a function the points have to pass the horizontal line test.
When you plot the graph of a function, then draw a horizontal line across the graph. If the horizontal line touches the graph only once, then the function does have an inverse function.
A company starts to track the number of phone calls received each month. During the first month the company received 4,264 phone calls. During the second month the company received 25% more phone calls than in the first month. During the third month the company received 6,396.
What was the percent increase in the number of phone calls from the second month to the third month.
Pleaseeee answer fastt
Answer:
Percent increase : 20%
Step-by-step explanation:
First month: 4,264 phone calls.
Second month: 25% more phone calls than in the first month.
To know the total phone calls received during this month you must take 25% of 4,264 and then add it to the 4,264 call of the first month:
64,264*25%=1,066
Total phone calls of the second month: 1,066+ 4,264= 5,330
You can also calculate the total phone calls of the second month by multiplying 4264 times 1,25 because times 1 is the same number and times 0,25 is the percent increase in the number of calls:
4,264*1,25= 5,330
Third month: 6,396 phone calls
To know the percent increase in the number of phone calls from the second month to the third month you must use the percent change formula:
Percent change: ((value2-value1)/ value 1 )*100%
Value 2: phone calls received during the third month
Value 1: phone calls received during the second month
Percent change: ((6,396-5,330)/ 5,330 )*100%
Percent increase: 20%
Brainliest?!
The probability that a particular salesman will leave his sunglasses behind in any store is 1/5. Suppose the salesman visits two stores in succession and leaves his sunglasses behind in one of them. What is the probability that the salesman left his sunglasses in the first store?
Probabilities are used to determine the chances of events
The probability that the salesman left his sunglasses in the first store is 0.16
How to calculate the probabilityThe given parameter is:
p = 1/5 ---- the probability that he left his sunglass
The probability that he did not leave his sunglass would be:
q= 1- 1/5
Evaluate the difference:
p = 4/5
So, the probability that the salesman left his sunglasses in the first store is:
Pr = 1/5 * 4/5
Evaluate the product
Pr = 4/25
Express as decimal
Pr = 0.16
Hence, the probability that the salesman left his sunglasses in the first store is 0.16
Read more about probabilities at:
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The perimeter of a rectangular roof shingle is 46 inches. It is 13 inches long. How wide is it?
inches
(Help please)
Answer:
8.5 in
Step-by-step explanation:
step 1
to find the width, the equation would be:
P/2-L
step 2-plug in
43/2-13=
8.5
Answer:
Step-by-step explanation: 10 + 10 = 20
46 - 20 = 26
26 divided by 2 = 13
An organization that installs water wells for people living in the Central African Republic candig a well 90 feet deep in 6 hours. If the drill continues at a constant
rate, how many hours lored will the drill be at 22.5 feet?
Answer: 1.5hr
Step-by-step explanation:
Regular admission price for a family to enter an amusement park is $345.80. The Patel family used a discount coupon that gave them 35% off the normal price. How much did the family save?
I need help, I really would appreciate it.
i need help with this please!
Volume of a sphere:
V = (4/3)πr³
Circumference of a sphere:
C = 2πr
Surface area of a sphere:
A = 4πr²
above are important sphere related equations
so to find the surface area plug in values for equation
A= 4πr²
= 4 × 3.14 × 5.4 ×5.4
= 366.25 mm²
The function for the speed of a ball thrown straight up in the air is given by v(t) = 128 − 32t, where v is the ball's velocity (in feet per second) and t is the number of seconds after the ball is thrown.
What is the slope? What does it represent? (1 point)
−32; velocity decreases at rate of 32 feet per second as the time increases
32; velocity increases at rate of 32 feet per second as the time increases
−128; velocity decreases at rate of 128 feet per second as the time increases
128; velocity increases at rate of 128 feet per second as the time increases
Answer:
A) −32; velocity decreases at rate of 32 feet per second as the time increases
Step-by-step explanation:
Rewrite v(t) = 128 - 32t as v(t) = -32t + 128
We see that our slope is -32 ft/s given it's in slope-intercept form with an initial height of 128 feet.
Solve this equation 7x + 1 /16 = 1 /2 Algebra
Answer: 1/16
Step-by-step explanation:
1/2 - 1/16 = 8/16 - 1/16 = 7/16
7/16 / 7 = 1/16
Answer:
[tex]{\boxed{\sf{x = \dfrac{1}{16}}}}[/tex]
Step-by-step explanation:
CONCEPT :
Here, we will use the below following steps to find a solution using the transposition method:
Step 1 :- we will Identify the variables and constants in the given simple equation.Step 2 :- then we Simplify the equation in LHS and RHS.Step 3 :- Transpose or shift the term on the other side to solve the equation further simplest.Step 4 :- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.Step 5 :- Then the result will be the solution for the given linear equation.[tex]\begin{gathered}\end{gathered}[/tex]
SOLUTION :
To solve this equation we will follow the given concept :
[tex]{:\implies{\tt{7x + \dfrac{1}{16} = \dfrac{1}{2}}}}[/tex]
[tex]{:\implies{\tt{7x = \dfrac{1}{2} - \dfrac{1}{16}}}}[/tex]
[tex]{:\implies{\tt{7x = \dfrac{(1 \times 8) -1}{16}}}}[/tex]
[tex]{:\implies{\tt{7x = \dfrac{(8) -1}{16}}}}[/tex]
[tex]{:\implies{\tt{7x = \dfrac{8 - 1}{16}}}}[/tex]
[tex]{:\implies{\tt{7x = \dfrac{7}{16}}}}[/tex]
[tex]{:\implies{\tt{x = \dfrac{7}{16} \times \dfrac{1}{7} }}}[/tex]
[tex]{:\implies{\tt{x = \dfrac{\cancel{7}}{16} \times \dfrac{1}{ \cancel{7}}}}}[/tex]
[tex]{:\implies{\tt{x = \dfrac{1}{16} \times 1}}}[/tex]
[tex]{:\implies{\tt{x = \dfrac{1}{16}}}}[/tex]
[tex]{ \star{\underline{\boxed{\sf{\red{x = \dfrac{1}{16}}}}}}}[/tex]
Hence, the value of x is 1/16.
[tex]\rule{300}{2.5}[/tex]