Nancy was recording the number of miles she ran every month. The total amount of miles she ran throughout these three months is 101.
Given that,
Nancy was recording the number of miles she ran every month. She ran 25 miles in April. She ran 34 miles in May and 42 miles in June.
Select the response that provides the most accurate estimate of the total amount of miles she ran throughout these three months.
Based on the given conditions, formulate: 42+24+34 miles.
Calculate the sum :67+34
Calculate the sum :101
Therefore, the total amount of miles she ran throughout these three months is 101.
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Expand the brackets and simplify.
a) 4(8 + 5) – 4g =
b) 6(p + 4) + 2(p - 12) =
c) 30 + 2(3z – 15) =
d) 204 + a) + a =
e) 6(a + 5) + 2(a – 7) =
f) 2(3 + w) + 5(2 + 6w) =
Answer: is bruh idk
Step-by-step explanation: you dont ask me
Answer:
a) -4g + 52
b) 8p
c) 6z
d) 2a +204
e) 8a +16
f) 32w +16
PLEASE HELP!!! WILL GIVE BRAINLEST
Charlene puts together two isosceles triangles so that they share a base, creating a kite. The legs of the triangles are 10 inches and 17 inches, respectively. If the length of the base for both triangles is 16 inches long, what is the length of the kite’s other diagonal?
6 inches
4 StartRoot 21 EndRoot inches
16 StartRoot 21 EndRoot inches
21 inches
Answer:
Answer: 21 inches
Step-by-step explanation:
I got it right so this should help
if you want the explanation i can give that to u just comment
If sum of the perpendicular distances of a variable point P (x, y) from the lines x + y – 5 = 0 and 3x – 2y + 7 = 0 is always 10. Show that P must move on a line.
Answer:
I need points!!!!!!!!
Step-by-step explanation:
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BRAINLIEST + FRIENDS IF U ANWER MY QUESTION!!!
Answer:
sam houston because Lamar was against annexation
Step-by-step explanation:
Simplify (–9k3 + 12k2 + 9) – (10k3 + 3k2 + 4k – 8)
Answer:
-43K+17
Step-by-step explanation:
(–9k3 + 12k2 + 9) – (10k3 + 3k2 + 4k – 8)
-9.3=-27 10.3=30
12.2=24 3.2=6
=(-27k+24k+9) - (30k+6k+4k-8)
COLLECT LIKE TERMS
=(-3k+9) - (40K-8)
= -3k+9-40k+8
= -43k+17
Answer:
-19k³ + 9k² + 17
Step-by-step explanation:
Given expression;
(-9k³ + 12k² + 9) - (10k³ + 3k² + 4k - 8)
To simplify, expand the brackets.
In the second bracket, the negative sign multiplies through;
= (-9k³ + 12k² + 9) - 10k³ - 3k² - 4k + 8
= -9k³ + 12k² + 9 - 10k³ - 3k² - 4k + 8
= -9k³ - 10k³ + 12k² - 3k²+ 9+ 8
= -19k³ + 9k² + 17
You have investigated graphs of exponential relations of the form y = br for b > 0. Explain why graphs of this form remain above the x-axis.
Answer:
When you substitute 0 for the exponent x, the expression simplifies to a times 1, which is just a. This is because any number to the 0 power equals 1. Since the initial value is the value of the function for an input of 0, the initial value for any function of this form will always be the value of a
Step-by-step explanation:
Hopefully this helped, if not HMU and I will try to get you a better answer! :)
Janice is preparing a recipe that calls for 3/4 cups of oil per serving. If janice needs to prepare 2 2/3 servings, how many cups of oil will she need?
Answer:
Janice will need 2 cups of oil.
Step-by-step explanation:
You know that Janice needs to prepare 2[tex]\frac{2}{3}[/tex] servings. A mixed number is a numerical way of representing a fraction greater than unity, that is, of representing fractions in which the numerator is greater than the denominator (improper fraction). To calculate the number of cups of oil needed, first it is convenient to transform the mixed number to an improper fraction. For that, the integer part is multiplied by the denominator and the numerator is added to it. The result obtained is the numerator of the improper fraction. The denominator is the same as that of the rational part of the mixed number.
In this case:
[tex]2\frac{2}{3} =\frac{3*2+2}{3} =\frac{8}{3}[/tex]
Knowing that the recipe calls for [tex]\frac{3}{4}[/tex] cups of oil per serving and Janice needs to prepare [tex]\frac{8}{3}[/tex] servings, you can apply the following rule of three: if [tex]\frac{3}{4}[/tex] cups of oil are required for 1 serving, [tex]\frac{8}{3}[/tex] servings how many cups of oil require?
[tex]cups of oil=\frac{\frac{8}{3}servings *\frac{3}{4}cups of oil }{1 serving}[/tex]
Solving:
cups of oil= 2
Janice will need 2 cups of oil.
Using trig to find Angels plz help
help asap please !!!!
Answer:
C =diameter times π
24π mm
Hanan buys a pair of shoes for $51.49 and a board game for $17.65. She pays with $80.00. How much change will Hanan get back?
$51.49+$17.65=$69.14
$80-$69.14=$10.86
What is the product of (–22.1)(–5.6)?
–123.76
–27.7
27.7
123.76
Answer:
-123.76
Step-by-step explanation:
You just multiply -22.1 by -5.6 and you get -123.76.
Match the coordinates with the points on the coordinate plane.
Answer:
T (-4.5, -3)
S (0,-3,5)
R (3.5,0)
Q (4, 6.5)
P (-2,4)
I took the time to look and note the points on the graph. GL tho.
Find two numbers the quotient is between. Then estimate the quotient. Estimate. 37 ÷ 3 The quotient is between and . The estimate for the quotient is .
Set up and solve an equation to find the measure of each missing angle.
Answer:
<A = 76°
<B = 63°
<C = 41°
Plug in the value of x
<C = 34 + 7
<C = 41°
Step-by-step explanation:
[tex] 63 + (2x + 8) + (x + 7) = 180 [/tex] (sum of ∆)
Solve for x
[tex] 63 + 2x + 8 + x + 7 = 180 [/tex]
Add like terms
[tex] 78 + 3x = 180 [/tex]
Subtract 78 from each side
[tex] 78 + 3x - 78 = 180 - 78 [/tex]
[tex] 3x = 102 [/tex]
Divide both sides by 3
x = 34
<A = 2x + 8
Plug in the value of x
<A = 2(34) + 8 = 76°
<B = 63°
<C = x + 7
Plug in the value of x
<C = 34 + 7
<C = 41°
Whats the answer for number 7?
What is the y-intercept of the line that passes through the points (-3, 3) and (7, 5)? Type your answer as a decimal or improper fraction. NO mixed numbers.
b =
Step-by-step explanation: 5
Helppp me plzzzzz skjwmsnsnjsmsmsns
Answer:
y = -x + 8
Step-by-step explanation:
We are to write the expression is slope intercept format;
coordinate = (3,5)
slope = -1
The equation of a straight line is given as;
y = mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
y = mx + c
5 = -1 (3) + c
5 = -3 + c
c = 8
The equation of the line is ;
y = -x + 8
what does 22+22= EQUAL
what is the perimeter
Answer:
the answer is 10 6/3 20/10 1/2
Step-by-step explanation:
in a packet of skittles 27% are red and 14% are blue what percentage are not red
Answer:
73%
Step-by-step explanation:
if 100% of the skittles are there, and 27% are red, then you would just subtract to find out how many aren't red.
100-27=73
Please help me with my work
Answer:
3.) [tex]y = \frac{2}{5} x - 7.2[/tex]
4.) [tex]y = -3x - 1[/tex]
Step-by-step explanation:
You have to find the y-intercept in both questions to put it in point-slope form. The first step is to substitute y and x from the question into point slope-form. You get -6 = m(-3) + b. Then you substitute for the slope which is 2/5. You end up with -6 = [tex]\frac{2}{5}[/tex] (-3) + b. Solve for b which is -7.2 and put the slope and y-intercept into the final point-slope equation. You follow the same steps for question 4.
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PLSSS HELPPP I WILL GIVE BRAINLIESTTTT!!!!!!!
PLSSS HELPPP I WILL GIVE BRAINLIESTTTT!!!!!!!
Answer:
m is greater than -4. The graph is correct.
Brad reads his favorite book for 114 hours each day. If he has read the book for 2212 hours so far, how many days has he read it? Show how you know.
Answer:
20 days
Step-by-step explanation:
2212 divided by 114 =19.40350877, so round it up to the nearest tenth, which is 20. he has read for 20 days
A man is climbing down from 100 feet high descending 30 feet per minute. Which of the following equation represent this situation
Three sisters have ages that are consecutive odd integers. The sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister's age. (a) If x represents the age of the youngest child, then write an equation that models this scenario. (b) Determine the ages of the three sisters.
Answer:
(a) x + 3(x + 4) = 5(x + 2) - 5
(b) youngest: 7 years old
middle: 9 years old
oldest: 11 years old
Step-by-step explanation:
(a)
We know that x is the youngest child's age. Since the sisters' ages are consecutive odd integers, we know that the ages differ by 2. So, the middle sister's age is x + 2 and the oldest sister's age is x + 4.
Our equation to model the sentence "the sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister's age" would be:
x + 3 * (x + 4) = 5 * (x + 2) - 5
x + 3(x + 4) = 5(x + 2) - 5
(b)
Now, we can just solve the equation above:
x + 3(x + 4) = 5(x + 2) - 5
x + 3x + 12 = 5x + 10 - 5
4x + 12 = 5x + 5
x = 12 - 5 = 7
So, the youngest sister is 7 years old.
That means the middle sister is 7 + 2 = 9 years old, and the oldest sister is 9 + 2 = 11 years old.
The ages, then, are:
youngest: 7 years old
middle: 9 years old
oldest: 11 years old
if you can please help me
Answer/Step-by-step explanation:
1. -14
2. 3
3. -3
4. 10
5. -8
1. 4 x -3 = -12 - 2 = 14
2. -3 x 2 = -6 + 9 = 3
3. 8 divided by 4 = 2 - 5 = -3
4. 3/2 = 1.5 x 2 = 3 + 7 = 10
5. -9/3 = -3 - 5 = -8
The sum of three numbers is 27. The product of the first number times the third number is 56. The quotient of the second number divided by the first number is 1.5. If the first number is represented by x, the second number is represented by y, and the third number is represented by z, which of the systems of equations below can be used to determine the three numbers?
Answer:
The system of equations that can be used to determine the three numbers are equation 1 and 6
x + y + z = 27 ----- ( 1 )
37.33 x - 56 y + 0 = 0 ---- ( 6 )
Step-by-step explanation:
x + y + z = 27 ----- ( 1 )
x * z = 56 ------ ( 2 )
y / x = 1.5 -------- ( 3 )
from equation 3
x = y / 1.5 -------- ( 4 )
input equation 4 into ( 2 )
( y / 1.5 ) * z = 56
y * z = 37.33 ------ ( 5 )
from equation 5 ; z = 37.33 / y input back to equation 2
x ( 37.33 / y ) = 56
37.33 x = 56 y
37.33 x - 56 y + 0 = 0 ---- ( 6 )
Please help!!!
Identify the equation in point-slope form for the perpendicular bisector of the segment with endpoints B(6,9) and C(8,−7).
Answers are one of the following
1.y − 1 = −8(x − 7)
2.y − 7 = 8(x − 1)
3.y−1=−18(x−7)
4.y−1=18(x−7)
Answer:
[tex]y-1=\frac{1}{8}\left(x-7\right)[/tex] is the equation in point-slope form for the perpendicular bisector of the segment with endpoints B(6,9) and C(8,−7).
Step-by-step explanation:
The endpoints:
B(6,9)C(8,−7)Calculating the Midpoint M of BC:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(6,\:9\right),\:\left(x_2,\:y_2\right)=\left(8,\:-7\right)[/tex]
The Midpoint M of BC [tex]=\left(\frac{8+6}{2},\:\frac{-7+9}{2}\right)[/tex]
[tex]=\left(7,\:1\right)[/tex]
Calculating the slope of BC:
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(6,\:9\right),\:\left(x_2,\:y_2\right)=\left(8,\:-7\right)[/tex]
[tex]m=\frac{-7-9}{8-6}[/tex]
[tex]m=-8[/tex]
Given a line with slope [tex]m[/tex] then the slope of a
line perpendicular to it is:
[tex]m_{prependicular}=-\frac{1}{m}=-\frac{1}{-8}=\frac{1}{8}[/tex]
Equation of line using point-slope form
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-1=\frac{1}{8}\left(x-7\right)[/tex]
Therefore, [tex]y-1=\frac{1}{8}\left(x-7\right)[/tex] is the equation in point-slope form for the perpendicular bisector of the segment with endpoints B(6,9) and C(8,−7).
From an Algebra 2 class
solve x^2+9=0
Answer:
x = {-3, 3}Step-by-step explanation:
Simplifying
x2 + -9 = 0
Reorder the terms:
-9 + x2 = 0
Solving
-9 + x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + x2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + x2 = 0 + 9
x2 = 0 + 9
Combine like terms: 0 + 9 = 9
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
Answer:
10^2=0
Step-by-step explanation
Because x by it self always means one it would technically be 1^2+9 which would equal 10^2=0
Question 6 of 10- POOS
GR6_Math_T3_FSQ_FY21 Question: 1-6
Joe concluded that the expression 3x + 15 + 2x is equivalent to the expression 5(x + 3). Which of these best explains how Joe reached his conclusion?
o dividing each term in the first expression by 3
combining like terms in the first expression and dividing each term by 3
combining like terms in the first expression and dividing each term by 5
subtracting 20 and applying the distributive property to the first expression
Answer:
The correct option is c. Combining like terms in the first expression and dividing each term by 5.
Step-by-step explanation:
Joe concluded that the expression [tex]3x+15+2x[/tex] is equivalent to the expression [tex]5(x+3)[/tex].
Let's analyze each option :
a. Dividing each term in the first expression by 3.
If we perform this operation it will lead us to :
[tex]\frac{3x+15+2x}{3}=x+5+\frac{2}{3}x[/tex]
And if we sum each term ⇒ [tex]x+5+\frac{2}{3}x=5+\frac{5}{3}x=5(1+\frac{1}{3}x)[/tex]
Which isn't equivalent to the expression [tex]5(x+3)[/tex]
b. Combining like terms in the first expression and dividing each term by 3.
If we perform this operation it will lead us to :
[tex]3x+15+2x=15+5x[/tex] ⇒
[tex]\frac{15+5x}{3}=5+\frac{5}{3}x=5(1+\frac{1}{3}x)[/tex]
Which isn't equivalent to the expression [tex]5(x+3)[/tex]
c. Combining like terms in the first expression and dividing each term by 5.
If we perform this operation it will lead us to :
[tex]3x+15+2x=15+5x[/tex] ⇒ Now if we divide each term by 5 and then we multiply the expression by 5 (in order to keep the equivalence) ⇒
[tex]\frac{15+5x}{5}=3+x[/tex]
And then we multiply by 5 to keep the equivalence ⇒
[tex]5(3+x)[/tex]
Finally, using commutative properties ⇒ [tex]5(3+x)=5(x+3)[/tex]
Which is the same expression that Joe found.
The correct option is c. Combining like terms in the first expression and dividing each term by 5.
Anyway, let's analyze option d. Subtracting 20 and applying the distributive property to the first expression :
[tex]3x+15+2x-20=-5+5x=5(-1+x)[/tex]
Which isn't equivalent to [tex]5(x+3)[/tex]
Answer: The correct option is c. Combining like terms in the first expression and dividing each term by 5.
Step-by-step explanation: