Alana is 2 years younger than Tommy and the
sum of their ages is 16. How old is Alana?
Answer:
7
Step-by-step explanation:
9 - 2 = 7
7 + 9 = 16
Mark as Brainliest
Due to budget cuts the Fire Department only has one ladder which is 35 feet long. While rescuing a damsel from a burning house the ladder must be 12 feet from the base of the house. How high up the house can the ladder reach?
a. Draw a diagram that models the situation. Be sure to label it.
b. Write an equation that models the situation and solve it.
Answer:
good luck always brings luck the answer is 12
Step-by-step explanation:
Find the slope mathematics
please help me before the bots do thank you!!!
Answer:
517.5 mi^2
Step-by-step explanation:
Divide shapes into 3 shapes ( 1 triangle and 2 rectangles
b = 17
h = 25
Area of triangle = [tex]\frac{1}{2}[/tex] Bh
A = [tex]\frac{1}{2}[/tex] (17)(25)
A = 212.5 mi^2
Area of 1st rectangle = lw = 17(9) = 153 mi^2
Area of 2nd rectangle = lw = 19(8) = 152 mi^2
Area of figure = 212.5 +153 + 152 = 517.5 mi^2
I need help! Please answer this quick!
Answer:
2.85 in²
Step-by-step explanation:
Area of triangle = 1/2 x base x height
1/2 x 1.9 x 3 = 2.85 in²
After the tour, Tyler’s mom bought a pretzel and a bottle of water for each family member. The bottles of water cost $1.50 each. If she paid a total of $30, how much did each pretzel cost? There were 5 family members
Answer:
4.50
Step-by-step explanation:
water + pretzels =total
5(1.50)+ 5x =30
7.50+5x=30
5x=22.50
x=4.50
jessica makes 12 batches of cookies to drop off at schools. Each school received 1 1/2 batches of cookies. How many school did Jessica take cookies to? *
Answer:
8
Step-by-step explanation:
12/1.5 is 8
you divide the total amount (12) by how much you're giving out (1.5 or 1 1/2) to find how many even groups can get a share
the sum of 2 numbers is 18 while the product is -63. find the numbers.
Answer:
Step-by-step explanation:
let the numbers be x and y,then
x+y=18
x=18-y
also xy=-63
(18-y)y=-63
18y-y²=-63
y²-18y-63=0
y²-21y+3y-63=0
y(y-21)+3(y-21)=0
(y-21)(y+3)=0
y=21,-3
when y=21
x=18-21=-3
when y=-3
x=18-(-3)=18+3=21
so numbers are -3 and 21.
How much paint will you need to paint all sides of the box shown below? show work and use volume or surface area formula.
Answer: 100
Explanation: triangle area is l x h ÷ 2 rectangle area is l x h. 4 x 3 =12÷2 +12÷2 =12 11x4x2= 88 88+ 12=100.
Match each value on the left with the number on the right that includes that value.
this is ez
2 thousands = 72.000
6 hundreds = 1.549.606
4 millions = 4.630.114
9 ten thousands = 298.278
1 hundred thousand = 177.009
Solve the following system algebraically.
y = x2 +x
y = -x - 1
A) (-2,3)
B) (-1,0)
C) (0,0)
D) (-5,2)
Answer:
B
Step-by-step explanation:
-x - 1 = x^2 + x
x^2 + 2x + 1 = 0
(x+1)(x+1) = 0
x = -1 (double soution)
y = 1-1 =
y =0
(-1,0) = double solution
Help please :))))))))
Answer:
10m The answer is D
Step-by-step explanation:
If Samuel travels twenty kilometers north, fifty kilometers south, and forty kilometers west, what is the approximate magnitude of his total displacement, in kilometers? Find the solution by drawing a diagram. km
Answer:
108.75km
Step-by-step explanation:
please find attached the diagram
total displacement can be determined by using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
length of x =
20² + 40²
= 400 + 1600
2000
square root of 2000
= 44.72km
length of y
40² + 50²
1600 + 2500 = 4100
square root of 4100
64.03km
total displacement = 44.72 + 64.03 = 108.75
find the 46th term 261 256 251
Answer:
36
Step-by-step explanation:
The numbers given represent an arithmetic series with a common difference of -5. The formula to find the nth term of an arithmetic sequence is:
a + (n - 1)d
where a is the first term and d is the common difference. We can substitute our values in:
261 + (46 - 1)(-5)
261 + (45)(-5)
261 + (-225)
36
Answer:
36
Step-by-step explanation:
Have a good day :)
Please solve these two questions!
Mary noticed 5 ants in her pantry on Monday. On Tuesday she counted 15 ants in the pantry. On Wednesday she counted 45 ants in the pantry.
Part A
Determine an exponential function model to represent the number of ants in the pantry in terms of the number of elapsed days. Explain how you arrived at your model.
Part B
Using your exponential model predict how many ants would be in the pantry by Friday if the trend continues. Explain if your response is reasonable.
Part C
Does the problem situation represent exponential growth or decay? Justify your reasoning.
help solve for angle A
[tex]\huge{ \mathfrak{ \underline{ \underline{Answer }}\: \: ✓ }}[/tex]
The given Angles are Alternate Exterior Angle pair, so their measures will be equal :
[tex]6x - 2 = 4x + 48[/tex][tex]6x - 4x = 48 + 2[/tex][tex]2x = 50[/tex][tex]x = 25[/tex]Now,
[tex] \large{ \boxed{\angle A = 6x - 2}}[/tex]
[tex]\angle A = (6 \times 25) - 2[/tex][tex]\angle A = 150 - 2[/tex][tex]\angle A = 148°[/tex]Therefore Value of [tex]\angle A = 148°[/tex]
_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Answer:
∠A= 148°
Step-by-step explanation:
∠A= ∠B
[tex]6x-2=48+4x[/tex][tex]2x=50[/tex][tex]x=25[/tex]∠A= 6x-2
[tex]150-2[/tex][tex]148[/tex]---------------------
hope it helps..
have a great day!!
There are 3 apples, 4 oranges and 1 pear in a bag. Find each probability
1) Select an orange and then a pear(without replacement)
2)You select an orange then an apple then a pear without replacement
3)You select an Apple, then an orange, then another apple without replacement
Help please
Answer:
8 fruit total
1) orange probability: 4/8 = 1/2
pear probability after one fruit is taken out: 1/7
probability of getting one then the other without replacement: 1/2 x 1/7 = 1/14
2) orange: 1/2
apple: 3/7
pear: 1/6
probability of getting them in order without replacement: 1/2 x 3/7 x 1/6 = 1/28
3) apple: 3/8
orange: 4/7
apple: 2/6 = 1/3
probability of getting them in order without replacement: 3/8 x 4/7 x 1/3 = 1/14
Answer:2/6 or 33% chance of getting an apple, 3/24 or 13% of getting a pear and 13/24 or 54% chance of getting an orange hope that helps.
Step-by-step explanation:
A rectangle's length is twice its width.
If its perimeter is 288 cm, find the length.
Answer:
96cm
Step-by-step explanation:
If the width is x then length is 2x
so,
x+x+2x+2x=288
6x=288
x=48
length is 48cm
Consider that x = −5 and y = −4. Which statement is true about x + y?
Question 17 options:
The sum of x and y is a rational number.
The sum of x and y is an imaginary number.
The sum of x and y is an irrational number.
The sum of x and y is neither rational nor irrational.
Answer:
The sum of x and y is a rational number.
Step-by-step explanation:
-5 + -4 = -9
-9 is a rational number
Can someone answer this please
Answer:
<COB = 50°
Step-by-step explanation:
We can say that m<AOC + m<COD + m<DOB = 180° because the three mentioned angles form a straight line. We can substitute to get:
3x + 94 + x + 18 + 2x - 4 = 180
Then, we can combine like terms:
6x + 108 = 180
6x = 72
x = 12
We can see that m<COB is the sum of m<COD and m<DOB. We can wrote an equation to model the situation:
m<COB = m<COD + m<DOB
m<COB = x + 18 + 2x - 4
m<COB = 3x + 14
We have the value of x, so we can substitute that in:
<COB = 3(12) + 14
<COB = 36 + 14
<COB = 50°
Find the surface area of the rectangular prism
Which interval is the graph of the parent absolute vale function f(x)=|x| decreasing
Answer:
(-∞,0)
Step-by-step explanation:
The graph of ƒ(x) = |x| is below.
The function is decreasing on (-∞,0) .
A is wrong. The function both decreases and increases on (-∞,∞).
C is wrong. The function is decreasing on (-6,0), but that is only a portion of the interval.
D is wrong. the function is increasing on (o,∞)
helppppppppppppppppp plssssssssssss
Answer:
(-10,-7)
Step-by-step explanation:
On the x-line, it is on -10. Therefore, we know that the x-value is -10. On the y-line, the y- value is -7. Therefore, the y-value is -7. Therefore, it is on the point (-10,-7)
If this helps please mark as brainliest
gave her a 4.50$ tip. The tip was 9% of the cost of the . Write an equation to find b, the cost?
Answer:
$50
Step-by-step explanation:
Here's a good formula I use for finding percentages.
4.50÷9x100=50
I had a calculator confirm this. The answer is $50.
And also, thanks so much for 50 points, that's really generous.
Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Compute the range, interquartile range, variance, and standard deviation (to a maximum of 2 decimals, if decimals are necessary).
Range:
Interquartile range:
Variance:
Standard deviation:
Range: 19
Interquartile range: 6.5
Variance: 44.86
Standard deviation: 6.70
Step-by-step explanation:
Given set:
27, 25, 20, 15, 30, 34, 28, 25.
(i) Range is the difference between the largest value and smallest value in a given data.
In the data above, the;
largest value = 34
smallest value = 15
Range = largest - smallest
Range = 34 - 15
Range = 19
(ii) Interquartile range is the difference between the median (Q₁) of the lower half of the given data, and the median (Q₃) of the upper half of the given data. i.e Q₃ - Q₁.
This should be done after ordering the given data in ascending order.
Ordering the above data gives:
15, 20, 25, 25, 27, 28, 30, 34
In the data above;
lower half = 15, 20, 25, 25
upper half = 27, 28, 30, 34
Find median (Q₁) of the lower half
Since there are even number of data, the median is the average of two middle numbers (20 and 25) i.e.
Q₁ = [tex]\frac{20+25}{2}[/tex] = [tex]\frac{45}{2}[/tex] = 22.5
Find median (Q₃) of the upper half
Since there are even number of data, the median is the average of two middle numbers (28 and 30) i.e.
Q₃ = [tex]\frac{28+30}{2}[/tex] = [tex]\frac{58}{2}[/tex] = 29
Interquartile range = Q₃ - Q₁
Interquartile range = 29 - 22.5
Interquartile range = 6.5
(iii) Variance is the measure of variability of a given set of data. It is calculated by following these steps:
=> First find the mean of the data by summing the numbers and dividing by the number of numbers. i.e
mean(x) = [15 + 20 + 25 + 25 + 27 + 28 + 30 + 34] / 8
mean(x) = [204] / 8
mean(x) = 25.5
=> Next, get the mean deviation by subtracting the mean from each individual value in the given set of data. i.e
15 - 22.5 = -7.5
20 - 22.5 = -2.5
25 - 22.5 = 2.5
25 - 22.5 = 2.5
27 - 22.5 = 4.5
28 - 22.5 = 5.5
30 - 22.5 = 7.5
34 - 22.5 = 11.5
=> Next, find the square of each of the results obtained above. i.e
(-7.5)² = 56.25
(-2.5)² = 6.25
(2.5)² = 6.25
(2.5)² = 6.25
(4.5)² = 20.25
(5.5)² = 30.25
(7.5)² = 56.25
(11.5)² = 132.25
=> Next, add all the results above together as follows;
56.25 + 6.25 + 6.25 + 6.25 + 20.25 + 30.25 + 56.25 + 132.25 = 314
=> Now, obtain the variance by dividing the result above one less than the number of numbers.
The number of numbers is 8. One less than this gives 7.
Therefore,
Variance = 314 / 7
Variance = 44.86
(iv) Standard deviation is the measure of how the numbers in the given data are spread out. It is calculated as the square root of variance.
Therefore,
Standard deviation = √variance.
Variance has been calculated above.
Standard deviation = √44.86
Standard deviation = 6.70
In a survey of 48 hospital patients. 20 said they were satisfied with the nursing care, 23 said they were satisfied with the medical treatment, and 6 said they were satisfied with both. How many patients were satisfied with neither? How many were satisfied with only the medical treatment?
Answer:
11 patients were satisfied with neither and 23 patients were satisfied with only the medical treat
Step-by-step explanation:
trust me i'm Asian
3.(-48)÷ 48=_____ class 7th Chapter integer
Answer:
3. (-48) devide 48 = -1 class 7th Chapter integer
The answer is : -1
# GOOD LUCK-2(x+3)=-2x-6 solve for x
Answer:
-2x-6=-2x-6
-6=-6
infinity many solutions
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
All Real Numbers
Step-by-step explanation:
Judith randomly selected 20% of the
seventh-grade students in her school
and asked them their favorite genre of
music. Of these students surveyed 41
chose pop music as the favorite music
genre. Based on the data, what is the
most reasonable prediction of the
number of seventh-grade students in
her school who would choose pop
music as their favorite genre?
Group of answer choices
60
80
200
160
Answer:
200
Step-by-step explanation:
41 x 5 = 205
20% x 5 = 100%