10) Sarah is 3 years older than her sister Mary.
Together their ages add up to 23. How old is Mary?

Answers

Answer 1

Answer:

20

Step-by-step explanation:

20 - 3

Sarah is 3 years older so 23 is going to be subtracted.


Related Questions

The formula κ​(x)= f′′(x) 1+f′(x)23/2 expresses the curvature of a​ twice-differentiable plane curve as a function of x. Use this formula to find the curvature function of the following curve. ​f(x)=−5x2 The curvature function is κ​(x)=nothing.

Answers

Answer:

K(x) =  [tex]\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }[/tex]    ( curvature function)

Step-by-step explanation:

considering the Given function

F(x) = [tex]-5x^2[/tex]

first Determine the value of F'(x)

F'(x) = [tex]\frac{d(-5x^2)}{dy}[/tex]

F'(x) = -10x

next we Determine the value of F"(x)

F"(x) = [tex]\frac{d(-10x)}{dy}[/tex]

F" (x) = -10

To find the curvature function we have to insert the values above into the given formula

K(x)  [tex]= \frac{|f"(x)|}{[1 +( f'(x)^2)]^{\frac{3}{2} } }[/tex]

 K(x) =  [tex]\frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }[/tex]    ( curvature function)

       

Plz help Plz help
Ella played a math game and had the five cards shown.
7 0 -4 -10

Her score was the sum of the numbers on these five cards. What was Ella’s score?
3


23

−5


Not here

Answers

Answer:

-7 (Not here)

Step-by-step explanation:

1. A negative plus a negative equals a negative/ a negative minus a positive equals a negative so: -10 -4 = -14

2. -14 + 7 = -7 so your answer is -7 and it's not an answer choice so you would select "Not here"

Answer ASAP: What is the smallest positive number that can be added to 55 so that the resulting number and 45 have 9 as their greatest common factor?

Answers

Answer:

55 + 45 = 90

90 divided by  45 = 2

90 divided by 9 = 10

Step-by-step explanation:

5/6x6/7=?? Please answer

Answers

[tex] \red { \orange {\boxed {\boxed{Answer}}}}[/tex]

[tex] = \frac{5}{6} \times \frac{6}{7} [/tex][tex] = \frac{5 \times 6}{6 \times 7} [/tex][tex] = \frac{30}{42} [/tex][tex] = \frac{30 \div 6}{42 \div 6} [/tex][tex] = \frac{5}{7} [/tex]

#IfWrongPleaseReport

#StudyTogetherWithMe

#ILoveMath

Help meeee pleaseeeeee

Answers

Answer:

B.

Step-by-step explanation:

I think its B because the Y comes before the slope

Properties of the normal distribution include?

Answers

Answer:

Properties of a normal distribution

The mean, mode and median are all equal.

The curve is symmetric at the center (i.e. around the mean, μ).

Exactly half of the values are to the left of center and exactly half the values are to the right.

The total area under the curve is 1.

Step-by-step explanation:

The solution is , given below.

What is normal distribution?

A normal distribution is a type of continuous probability distribution in which most data points cluster toward the middle of the range, while the rest taper off symmetrically toward either extreme. The middle of the range is also known as the mean of the distribution.

here, we have,

Properties of a normal distributionThe mean, mode and median are all equal.The curve is symmetric at the center (i.e. around the mean, μ).Exactly half of the values are to the left of center and exactly half the values are to the right.The total area under the curve is 1.

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What digit is in ten thousands place 983,471?

Answers

7

The digit in ten thousandths place is 7 as it is the fourth digit to the right of decimal point.

Answer:

8

Step-by-step explanation:

9= one hundred thousands

8= ten thousands

3= one thousands

4= one hundreds

7= tens

1= ones

Lines l and m are parallel lines cut by the transversal line t. Which angle is congruent to ∠7?

Answers

Answer:

<3, <2 or <6

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

i had it in usatestprep

Consider the accompanying set of dependent and independent variables. The variable x3 is qualitative with H=​High, M=​Medium, and L=Low. Complete parts a and b below.

y 63 53 77 53 38 43 34 20 13
x1 45 42 40 37 27 24 20 14 12
x2 74 62 80 53 42 48 35 16 13
x3 H H L M H M L L M


Required:
a. Using​ technology, construct a regression model using all three independent variables.​
b. Complete the regression equation for the model​ below, where x3 represents the dummy variable Cond1​, and x4 represents the dummy variable Cond2.

y= ____ + (____)x2+ (____)x3 + (____)x4

Answers

Answer:

Y = 6.6406 + 0.2068x2 + 0.7995x3 - 3.607x4

Step-by-step explanation:

y 63 53 77 53 38 43 34 20 13

x1 45 42 40 37 27 24 20 14 12

x2 74 62 80 53 42 48 35 16 13

x3 H H L M H M L L M

For regression analysis : all variables must be quantitative ;

X3 variable may be represented as thus;

L = 1 ; M = 2 ; H = 3

Hence ;

X3 = 3 3 1 2 1 2 1 1 2

y= ____ + (____)x2+ (____)x3 + (____)x4

Using the online multiple regression calculator :

Y = 6.6406 + 0.2068x2 + 0.7995x3 - 3.607x4

From the general formular of a linear model:

y = w1x1 + w2x2 +... + wnxn + c = 0

Where c = intercept

w1,.. wn = weight of explanatory variable

Hence, the weights of x2 = 0.2068

Weight of x3 = 0.7995

Weight of x4 = - 3.607

Intercept = 6.6406

Divide the number 484 into two parts in a ratio of 7 : 4. How much bigger is the first number than the second number?

Answers

Answer:

I don't known

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

First, obtain the total of the ratio:

7+4 = 11

Then, make equations:

[tex]\frac{7}{11} =\frac{x}{484}[/tex]      and     [tex]\frac{4}{11} =\frac{x}{484}[/tex]

Next, solve:

11x = 7*484   →    11x = 3388    →    x = 308

11x = 4*484   →    11x = 1936     →    x = 176

Finally, find the difference:

308 - 176 = 132

(**If it is asking how many times bigger... 308/176 = 1.75 or  [tex]\frac{7}{4}[/tex] )

The width of a rectangle is twice the length. The perimeter is 102 feet. Find the dimensions .

Answers

Answer:

he formula for perimeter is the sum of

twice the width and twice the length, so

the formula would be:

Perimeter = 2W + 2L

 

In this problem:

Width is unknown (x)

Length is twice the width (2x)

and Perimeter = 60, so to set it up:

102= 2x + 2(2x)

102= 2x + 4x

102 = 6x

x = 10

Step-by-step explanation:

I DONT KNOW MUCH ABOUT THIS TOPIC . I HOPE IT HELPS

My four-year-old son loves playing out in the garden. His favourite activity is digging up and inspecting creepy crawlies, especially snails. If he is patient enough, after the initial shock of being uprooted, they will emerge cautiously from the safety of their shells and start to glide over his little hands leaving viscid trails of mucus. Eventually, when he tires of them, he will discard them, somewhat callously, in the compost heap or on the woodpile behind the shed. Late last September, after a particularly busy session in which he had unearthed and disposed of five or six large specimens, he came to me as I was sawing up wood for the fire and asked ‘Daddy, how many snails is [sic] there in the garden?’ A deceptively simple question for which I had no good answer. It could have been 100 or it could have been 1000. To be quite honest, he would not have comprehended the difference. Nevertheless, his question piqued an interest in me. How could we figure this out together? We decided to conduct an experiment. The next weekend, on Saturday morning, we went out to collect snails. After ten minutes, we had a total of 23 of the gastropods. I took a sharpie from my back pocket and proceeded to place a subtle cross on the back of each one. Once they were all marked up, we tipped up the bucket and released the snails back into the garden. A week later we went back out for another round. This time, our ten-minute scavenge brought us just 18 snails. When we inspected them closely we found that three of them had the cross on their shells, while the other 15 were unblemished. This was all the information we needed to make the calculation. What is the total amount of snails

Answers

Answer:

There are 38 snails.

Step-by-step explanation:

Lori read the total of 48 pages over 3 hours

Answers

Answer:

16 pages per hour

Step-by-step explanation:

48 ÷ 2 = 16 pages per hour

What is the x-value in the solution to this system of linear equations?
2x - y = 11
x + 3y = -5
0-3
0 -1
O 2
O4
PLEASE HELP :)

Answers

Answer: 4

Solving Steps:
2x-y=11
x+3y=-5

-2x-y=11
-2x-6y=10

-7y=21
y=-3

x+3(-3)=-5
x=4

A table marked at ₹ 15,000 is available for ₹ 14,400. Find the discount given and the discount percentage.

Answers

Answer:  ₹ 600 and 15% discount rate i believe

Step-by-step explanation:

A shipping container is in the shape of a right rectangular prism with a length of 2 feet, a width of 5 feet, and a height of 1.5 feet. The container is completely filled with contents that weigh, on average, 0.72 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?

Answers

Answer:

102 pounds

Step-by-step explanation:

Answer:

11 ibs

Step-by-step explanation:

What is the following equal to 7 times 10^3

Answers

Answer:

7000

Step-by-step explanation:

10^3=1000

1000*7=7000

7000 is answer

1000×7 = 7000

13) What angle will a 5 meter ladder make with the ground if it reaches 4.2
meters up the wall? Round to the nearest degree.

Answers

Answer:

57°

Step-by-step explanation:

The ladder will be the hypotenuse while the 4.2 meters will be a leg.

We want the angle between the ground & the ladder. Therefore, 4.2 is on the opposite side of the angle.

sin(theta) = opposite/hypotenuse

sin(theta) = 4.2/5

theta = arcsin(4.2/5)

theta = 57°

I believe the answer would be 57° :)

Mr. Clopu buys an 18-month CD that pays 434% simple interest for $5,000. Find the value of the CD at the end of its term.

Answers

Answer:

FV= $5,325.8

Step-by-step explanation:

Giving the following information:

Mr. Clopu buys an 18-month CD that pays 4.34% simple interest for $5,000.

To calculate the future value, we need to use the following formula:

FV= (P*r*t) + P

P= $5,000

r= 0.0434/12= 0.00362

t= 18

FV= [(5,000*0.00362)*18] + 5,000

FV= $5,325.8

The value of the CD at the end of its term is $39,060

Given:

Time = 18 month

Principal = $5000

Interest rate = 434%

Future value = ?

Future value = Principal × Rate × Time

= 5,000 × 434% × 18

= 5000 × 434/100 × 18

= 5000 × 4.34 × 18

= 39,060

Therefore, the value of the CD at the end of its term is $39,060

Read more:

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In a square what is the relationship between the length and the side of the area?

Answers

Answer:

Length X width = area

Step-by-step explanation:

Hope this helps

GIVING OUT BRAINLLEST:What is the slope of the line that goes through the points (1,-2) and (3,6)?
Question 1 options:

-4


4


1


2

Answers

answer is 4

brainliest plz :)

Which of the following options best describes a line graph?

a) graph comparing quantities represented by bars

b) graph showing trends in categorical data

c) graph that displays the rate of change of two variables

d) graph comparing the rate of change of two or more quantities

Answers

Answer:

i hope im not to late but i think its c

A line chart is a graph that shows the rate at which two variables evolve.

Option c) is correct.

Define Graph.

A graph is a representation of the relationship among different sets of numbers or measures.

A graph is just a data structure made up of a finite number of nodes (or vertices) and the edges that link them.

A line chart is a graph that shows the rate at which two variables evolve.

So, option c) is correct.

Find out more information about graph here:

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Which is greater 6/12 or 1/3

Answers

Answer:

1/3 is bigger

Step-by-step explanation:

6/12 might look bigger but its not

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I need help finding the function equasion of this table
X Y
0 0
1 4
2 16
3 36
4 64

Answers

y = 4x^2 (4x squared)

Need help on angle measured geometry

Answers

12x+17=15x
-12x to each side
17=3x
X=17/3 or 5and2/3
17/3=15x
(17/3)/15
x = .37777
FINAL AWNSER = 37 degrees

PLEASE HELP!!!!! How do you turn 0.480 into a fraction???? PLEASE SHOW WORK IF YOU CAN?

Answers

Answer:

the answer is 48/100 im pretty sure .

Step-by-step explanation:

Answer:

12/25

Step-by-step explanation:

first you take your decimal and because it is a decmial the decimal is in a fraction, 48/100 don't pay attention to any 0's behind any other number.

once you have 48/100 divide the numerator(the top of the fraction) and the denominator(the bottom of the fraction) and divide it by 4

Simplify [tex]\frac{14^{15} }{14^{5} }[/tex]:

A. [tex]1^{3}[/tex]

B. [tex]1^{10}[/tex]

C. [tex]14^{3}[/tex]

D. [tex]14^{10}[/tex]

Answers

Answer:

The answer is D 14^10

Answer:

A

Step-by-step explanation:

MATH what is 9x1 9x2 9x3 9x4 9x5 9x6 9x7 9x8 9x9 9x10



EASY MATH 10 POINT

Answers

9 x 1 = 9
9 x 2 = 18
9 x 3 = 27
9 x 4 = 36
9 x 5 = 45
9 x 6 = 54
9 x 7 = 64
9 x 8 = 72
9 x 9 = 81
9 x 10 = 90

Answer:

9

18

27

36

45

54

63

72

81

90

Step-by-step explanation:

I just take the last numer of the times 9 and subtract 1 and put whatever equals 9.

example 9x7=63

7-1=6+3 so 63

Sorry if it does not make sense

The bowling lanes charge an hourly fee for bowling and $2 to rent shoes for the day. Gerry rented shoes and bowled for 2 hours and was charged $12
Which equation represents the cost, f(x), of bowling as a function of x, the number of hours of bowling?
O f(x) = 4x + 3
Of(x) = 2x + 2
Of(x) = 5x - 2
Of(x) = 5x + 2

Answers

Answer:

d) f(x) = 5x + 2

Step-by-step explanation:

First we need to identify the variables and how they fit into the equation. in this case we know that the equation is f(x) = mx + b where f(x) is the total cost, m is the hourly cost, x is the number of hours bowled, and b is the price of the shoes.

Now, we need to solve for the hourly cost, so to do this we plug in all the known information to get 12 = m(2) + 2

To solve we need to isolate the variable by first subtracting 2 on both sides to get 10 = m(2) and then dividing both sides by 2 to get 5 = m.

Finally, since we now know that the hourly cost is $5 we can plug this information back into the equation to get f(x) = 5x + 2

Write the decimal represented by each shaded square.

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The decimal would be .70 because there's 70 squares that are shaded.

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