Answer:
the oldest is Ty and his age is 24
Step-by-step explanation:
Let us assume the billy age be x
Noah age be y
And, Ty age be z
Now according to the question
y + x = 25 ..........(1)
y + z = 20..........(2)
x + z = 31..............(3)
z = 31 - x
since
y + z = 20
y + 31 - x = 20
y - x = -11 .............(4)
Now solve (1) and (4) equation
So,
y + x = 25
y - x = -11
2y = 36
y = 18
x = 25 - 18
= 7
z = 31-7
= 24
Hence, the oldest is Ty and his age is 24
Select the correct answer.
Annalise makes rectangular patchwork quilts out of leftover fabric scraps. The first scrap she is using to make a quilt has a width of 2x feet and a length of 5x feet. When finished, the entire quilt will be 5 feet wider and 3 feet longer than the first fabric scrap used. Which of the following functions will give the area, f(x), of the quilt in square feet?
A.
f(x) = 10x2 + 15
B.
f(x) = 10x2 + 25x + 15
C.
f(x) = 10x2 + 16x + 15
D.
f(x) = 10x2 + 31x + 15
Answer:
C
Step-by-step explanation:
I did it in my head, might be wrong.
The function that gives the area, f(x), of the quilt in square feet is
f(x) = 10x² + 16x + 15
Option C is the correct answer.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
The area of the first fabric scrap is:
A = width x length
A = (2x)(5x)
A = 10x²
The area of the entire quilt is 5 feet wider and 3 feet longer than the first fabric scrap.
Therefore, the width of the quilt is (2x + 5) feet and the length is (5x + 3) feet.
So, the area of the quilt.
A = width x length
A = (2x + 5)(5x + 3)
A = 10x² + 16x + 15
Therefore,
The function that gives the area, f(x), of the quilt in square feet is
f(x) = 10x² + 16x + 15
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Mai put $4,250 in the bank for a rate of 4% simple interest per year. After
3 years, what will be the balance of her bank account?
0
Answer:
4760
Step-by-step explanation:
Simple interest formula:
PV(1+it)
4250(1+.04*3)=4760
Which expression is equivalent to v147?
Please help me find the mean and the range.
mean: 5.5 hours
range: 7.9 hours
f(x)=2x2−10x+11 What is f(4)?
Set the polynomial equal to y y to find the properties of the parabola. y=2x2+10x+11 y = 2 x 2 + 10 x + 11. Rewrite the equation in vertex form. Tap for more steps.
can someone do a new zoom dont ask questions
Answer:
Please don't do zooms without providing your explanation for doing them.
Step-by-step explanation:
You need to present yourself as someone who isn't creepy or anything. This is why you should provide an explanation in case you just want to talk.
Answer:
what do you mean
Step-by-step explanation:
It cost $16.80 for a half dozen cookies. How much does one cookie cost?
A square is rotated clockwise about center point P.
Click on all the degrees of rotation that will carry the square onto itself,
45
900
120
135
180
225
240
270
315
360
The degrees of rotation that will carry the square onto itself are,
⇒ 90°, 180°, 270°, 360°
Since, A Square is a two dimension figure with 4 sides, 4 corners and 4 right angles. All the sides of the square are equal and parallel to each other.
Given here:
A square is rotated clockwise about center point P.
Now , Since there are have 4 vertices, your starting vertex can land in 4 different starting places and still come up with the same figure.
So if you take 360/4 you get 90 degree rotations to each consecutive vertex.
or more specifically;
= 360/4
= 90
Hence, the square will coincide itself after every integral multiple of 90.
Thus, 90°, 180°, 270°, 360° are the required angles of rotation.
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What is the difference between −82°F and 93°F?
A
−175°F
B
−11°F
C
11°F
D
175°F
Step-by-step explanation:
93 -(-82) = 93+82 = 175°F (option D)
Katelyn invested $1500 into her account which earned interest compounded continuously. After 10 years, she discovered that she had $3935.36. What interest rate percent did Katelyn earn?
Answer: ____ % interest
Given:
Principal = $1500
Time = 10 year
Amount after interest compounded continuously = $3935.36
To find:
The rate of interest.
Solution:
The formula for amount after continuous compound interest is:
[tex]A=Pe^{rt}[/tex]
Where, P is principal, r is the rate of interest in decimal and t is time in years.
Putting [tex]P=1500,A=3935.36,t=10[/tex] in the above formula, we get
[tex]3935.36=1500e^{r(10)}[/tex]
[tex]\dfrac{3935.36}{1500}=e^{10r}[/tex]
[tex]2.6236=e^{10r}[/tex]
Taking ln on both sides, we get
[tex]\ln(2.6236)=\ln e^{10r}[/tex]
[tex]0.9645=10r[/tex] [tex][\because \ln e^x=x][/tex]
Divide both sides by 10.
[tex]\dfrac{0.9645}{10}=r[/tex]
[tex]0.09645=r[/tex]
The rate of interest in percentage is:
[tex]r=100\times 0.09645[/tex]
[tex]r=9.645\%[/tex]
Therefore, the required rate of interest is 9.645%.
will give brainly. At the beginning of spring, Austin planted a small sunflower in his backyard. When it was first planted, the sunflower was 25 inches tall. The sunflower then began to grow at a rate of 3 inches per week. How tall would the sunflower be after 6 weeks? How tall would the sunflower be after ww weeks?
Who want points and brainlist just answer quick............
Answer: 1/16
Step-by-step explanation:
Khou 11 created a dot plot to represent the spread of temperatures in Houston during the month of march what is the value of the Q1 and Q3
Answer:
SOOOO SORRRYYY I NEED POINTS
Step-by-step explanation:
IM GETTING 50 POINTSSS SORRRYYYYYY
Answer:
15
Step-by-step explanation:
I'm not certain if It's right but I believe Q1 is in between the first dot and the rectangle and Q3 is the right side of the rectangle. The area they each cover is 15 so that is my best guess.
HOW TO DO THIS QUESTION
Answer:
8 : 2.5
Step-by-step explanation:
3√512: Convert the decimal into an equivalent fraction You can also use a calculate to divide 1 by the fraction.
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
Answer:
3.2 : 1
Step-by-step explanation:
Given
[tex]\sqrt[3]{512}[/tex] : [tex]\frac{1}{0.4}[/tex]
= 8 : 2.5 ( divide both parts by 2.5 )
= 3.2 : 1
Why are 1966 pennies worth almost $20?
Answer:
its because 1966 pennies are made from 95% copper and 5% zinc but they are mainly worth 10 to 20 cents each penny.
Step-by-step explanation:
A survey went out asking consumers about their shopping habits. The results showed that
165 people were more likely to go to a store if they had a coupon. This represents 66% of
the total number of people who took the survey
How many people took the survey?
F: 25
G: 109
H: 199
J: 250
Answer:
G
Step-by-step explanation:
In math whenever you have the word "of" it means multiply, so 66% of the total number of people who took the survey( which is 165) is 66/100 multiplied by 165.
[tex]\frac{66}{100} *165= 108.9[/tex] which rounds up to 109
Rick buys a spatula costing $2.23. He gives the cashier $5.00. The cashier gives him his change using the least number of coins and bills possible. How many of each coin or bill does he receive?
Answer:
2 Dollar Bills
3 quarters
2 pennies
Which of the following correctly combines these terms? 3a + 6b - 7a + (-3b) + 9c
F. 8abc
G. 4a " 3b + 9c
H. 8 + abc
I. -4a + 3b + 9c
Answer:
I
Step-by-step explanation:
We have to added up the like therms
like therms are therms with the same literal parts
3a - 7a = -4a
6b-3b= 3b
-4a + 3b+ 9c
PLS HELP ILL GIVE BRAINLIEST
What are the coordinates of the center of the ellipse?
Answer:
Step-by-step explanation:
Standard equation of an ellipse,
[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]
(h, k) is the center of the ellipse
Value of a = Distance of the center from the vertex
b = Distance of the center from the covertex
From the picture attached,
a = Distance of the center (h, k) from the vertex (2, -2) = 3 units
b = Distance of the center (h, k) from the co-vertex (-1, 0) = 1 unit
Center of the ellipse (h, k) = (-1, -2)
Halla el volumen del siguiente prisma triangular...
Answer:
El volumen del prisma triangular es 110 centímetros cúbicos.
Step-by-step explanation:
El volumen del prisma ([tex]V[/tex]), en centímetros cúbicos, es igual al producto del área superficial del triángulo ([tex]A[/tex]), en centímetros cuadrados, y la profundidad del prisma ([tex]z[/tex]), en centímetros:
[tex]V = A\cdot z[/tex]
[tex]V = \frac{1}{2}\cdot b\cdot h\cdot z[/tex] (1)
Donde:
[tex]b[/tex] - Base del triángulo, en centímetros.
[tex]h[/tex] - Altura del triángulo, en centímetros.
Si sabemos que [tex]b = 4\,cm[/tex], [tex]h = 5.5\,cm[/tex] y [tex]z = 10\,cm[/tex], entonces el volumen del prisma triangular es:
[tex]V = \frac{1}{2}\cdot (4\,cm)\cdot (5.5\,cm)\cdot (10\,cm)[/tex]
[tex]V = 110\,cm^{3}[/tex]
El volumen del prisma triangular es 110 centímetros cúbicos.
What can you say about the size of the angles of similar triangles?
Answer:
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.
Please help me I will give 30 points
Answer:
a, c, & d
Step-by-step explanation:
-6,1 , 0,5 , 1,7 hope this help
One serving of Mike’s crackers has 150 calories and a mass of 30 grams.
How many calories are in 6 grams of the crackers?
Step-by-step explanation:
You need to times it, so 150 x 30, and then whatever it is, thata the answer
Please help!
Factor 4x^2-16x
Answer:
Step-by-step explanation: 3 because 4x2=8 so you would have to do 8x4 =32
write a point-slope equation for the line that has slope 4 and passes through the point (11.7)
Answer:
y-7=4(x-11)
Step-by-step explanation:
The day before yesterday I was 25. The next year I will be 28. This is true only one day in a year. What day is my Birthday?
Yesterday was your birthday. (May 29)
i need helpp please this is due today (show work/explanation)
Answer:
14 x 14 = 196
10 x 14 x 1/2(basically just dividing by 2) = 70
70 x 4(four sides of triangles) = 280
Now let's add the areas together:
196 + 280 = 476 cm^2 is your answer.
In parallelogram MNPQ if QR=5 find RN.
Answer:
RN=5
Step-by-step explanation:
QR is congruent to RN therefore they are the same length
Suppose a straight line is fit to data having response variable y and explanatory variable x. Predicting values of y for values of x outside the range of the observed data is called
Answer:
Extrapolation
Step-by-step explanation:
Given
[tex]x \to[/tex] Explanatory variable
[tex]y \to[/tex] Response variable
Required
Predicting y outside range of x is called
This is referred to as extrapolation.
Take for instance, the range of x is: 1 - 9
You have extrapolated when, 10 is assumed to be the value of x and this value is entered in an equation to predict y.
DESPERATE, PLEASE ANSWER FAST
(multiple choice answer)
Which associations best describe the scatter plot?
Select each correct answer.
Linear association
Nonlinear association
Negative association
Positive association
Answer:
Nonlinear association
Step-by-step explanation: