A) First day = x blocks
Second day = x + 2 blocks
Third day = x + 4 blocks
Fourth day = x + 4 blocks
Fifth day = x + 4 blocks
B) All possible values that Makaila could walk on the first day to reach her goal are; x ≥ 11.2
C) The fewest number of blocks she could walk on this day and still meet her goal is; 70 blocks
How to solve arithmetic sequences?A) We are told that the first day, she walks x blocks
Thus;
Second day = x + 2 blocks
Third day = x + 4 blocks
Fourth day = x + 4 blocks
Fifth day = x + 4 blocks
B) Total blocks = x + x + 2 + x + 4 + x + 4 = 5x + 14
Makaila would like to walk at least 70 blocks over the next five days. Thus, the equation is;
5x + 14 ≥ 70
Subtract 14 from both sides of this equation to get:
5x ≥ 56
Divide both sides of this equation by 5 to get:
x ≥ 11.2
C) She must walk greater than or equal to 11.2 blocks the first day to reach her goal.
assume she walks exactly 11.2 blocks the first day.
then her total walking based on the formula would be:
first day 11.2
second day 13.2
third day 15.2
fourth day 15.2
fifth day 15.2
total walked is 11.2 + 13.2 + (3 * 15.2)
this equals 24.4 + 45.6 which equals 70.0
Any number of blocks over 11.2 on the first day will result in a total greater than 70 blocks.
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What is the converse of the following statement?
If a whole number has 0 as its last digit, then the number is evenly divisible by 10.
A. If a whole number is divisible by 10, then it is an even number.
B. If a number is evenly divisible by 10, then it is a whole number.
C. If a number is evenly divisible by 10, then it is a whole number that has 0 as its last digit.
D. If a whole number has 0 as its last digit, then it must be evenly divisible by 10
The statement which is a converse of the given statement as in the task content is; Choice C. If a number is evenly divisible by 10, then it is a whole number that has 0 as its last digit.
What is the converse of the statement given in the task content?The converse of a statement is a rearranged form of the statement in which case, the premise and conclusion switch sides. Hence, the converse of a mathematical statement still connotes the same meaning.
On this note, the converse of the statement in this case is; Choice C; If a number is evenly divisible by 10, then it is a whole number that has 0 as its last digit.
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What is the slope? (5,6) and (-1, 4)
Answer:
1/3
Step-by-step explanation:
y2-y1/x2-x1
4-6/-1-5
-2/-6
1/3
A recipe for chocolate chip cookies with toffee bits and walnuts serves 8 people and needs 3 cups of flour. If Zachary wants to make the recipe for 14 people, how many cups of flour should he use?
I will mark you as the brainliest IF answered correctly.
Answer:
Im pretty sure it's 5.25 cups of flour
Step-by-step explanation:
so we know that it takes 3 cups for 8 people and we don't know the amount for 14 people so write it as a fraction and cross multipy
For the equation
8/3=14/x
The cross product is
8*x=3*14
Solving for x
x=3×14/8
and reducing
x=5.25
This one as well please
Answer:
1/11
Step-by-step explanation:
If there are 11 counters and there's only 1 white one, that makes it to where there's only a 1 in 11 chance of you choosing that one white counter.
I
Line segment LN has endpoints L(-2, -3) and N(3, 7).
Which of the following determine the coordinates of point M located at the
of LN?
Answer:
(1/2, 2)
Step-by-step explanation:
Use Midpoint Formula
Label points L and N
M = (x1 + x2/2, y1 + y2/2)
M = ( -2 +3/2, -3 + 7/2)
M = (1/2, 2)
The minimum possible value of the chi-squared test statistic, Χ2 = 0, would occur if the observed count is:________.
a. more than the expected count in each cell.
b. less than the expected count as often as it is more than the expected count.
c. equal to the expected count in each cell.
d. less than the expected count in each cell.
e. equal to the expected count overall.
Answer:
a
Step-by-step explanation:
rational numbers
-2 + -([tex]\frac{1}{2}[/tex]+[tex]\frac{1}{3}[/tex]+[tex]\frac{1}{5}[/tex])
a)-[tex]\frac{1}{30}[/tex]
b)[tex]\frac{-29}{30}[/tex]
c)[tex]\frac{29}{30}[/tex]
d)1[tex]\frac{1}{30}[/tex]
Answer in fraction
The fraction is simplified to - 29/30 . Option B
What is a fraction?
A fraction is simply known as the part of a whole.
Types of fractions;
Mixed fractionsSimple fractionsProper fractionsImproper fractionsGiven the fraction;
-2 + ( 1/ 2 + 1/ 3 + 1/ 5 )
Find the lowest common multiple
- 2 + ( 15 + 10 + 6 /30 )
-2 + ( 31/30)
expand the bracket by finding the lowest common multiple, we have;
-60 + 31 / 30
Add the numerators
- 29/30
Thus, the fraction is simplified to - 29/30 . Option B
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Write 7 9/10 as an improper fraction
Answer:
7910=7910
Step-by-step explanation:
7 9/10 as an improper fraction is 79/10.
Given is a mixed fraction 7 9/10 we need to convert it into improper fraction,
To convert the mixed number 7 9/10 into an improper fraction, you need to follow these steps:
Step 1: Multiply the whole number (7) by the denominator (10): 7 x 10 = 70.
Step 2: Add the numerator (9) to the result from Step 1: 70 + 9 = 79.
Step 3: Write the sum from Step 2 as the numerator of the fraction.
Step 4: Keep the denominator (10) the same.
Therefore, 7 9/10 as an improper fraction is 79/10.
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Find the equation of the line in SLOPE-INTERCEPT form if the slope is 3 and passes through the point (3,5)
A.y = 3x - 4
B.y = 3x -5
C.y = 3x + 5
D.y-5 = 3(x-3)
What is the solution to -(6 m + 8) = 4(17 - m )?
Answer:
-38
Step-by-step explanation:
-(6m+8)=4(17-m)
-6m-8=68-4m
-8-68=-4m+6m
-76=2m
m=-76/2
m=-38
Calculate the radicand of f(x)=x^2+20x+97 and state what it tells you about the roots of the function. Then solve the function using the quadratic formula.
Answer: The roots are x=-10 +- root 3.
Step-by-step explanation:
what are the slope and the y-intercept of the linear function that is represented by the table
Answer:
D: The slope is 3, and the y-intercept is 3/2
verify -(-x)=x for x =12/15 please answer fast
Answer:
-(-12/15) = 12/15
Step-by-step explanation:
-(-x) = x
Two minuses, one minus outside the bracket and one inside, make a positive. Thus:
-(-12/15) = 12/15
How do you solve this equation step-by-step? (below)
4a + 8 - 2a - 3 = 45
Answer:
a=20
Step-by-step explanation:
4a+8-2a-3=45
-8 on both sides
4a-2a-3=37
+3 on both sides
4a-2a=40
2a=40
a=20
Answer:
a = 20
Step-by-step explanation:
Let's understand it quickly,
4a + 8 - 2a - 3 = 45
Gather the like terms on RHS and LHS,
4a - 2a = = 45 - 5
2a = 40
a = 40/2
a = 20
Hope it helps!<3
1. What is the best estimate for the
product of 37 and 19?
Answer: 800.
Step-by-step explanation: Round them both to the nearest ten. That is 40x20.
Answer:
2
Step-by-step explanation:
40/20=2
what is 2+2? PLEASE HELP FOR BRAINLIEST
Answer:
4
Step-by-step explanation:
simple
PLEASE HELP ME????!!!?
Step-by-step explanation:
what is the question ?
check everything that applies to the angles 1 and 2 ?
in that case :
two angles are adjacent angles, when they share a vertex and side.
so, yes, adjacent angles is true
vertical angles are angles that are opposite of each other when two lines cross.
so, no, vertical angles is false.
two angles are complementary, when they are adjacent and have combined 90°.
so, yes, complementary angles is true.
2 angles are supplementary, when they are adjacent and have combined 180°.
so, no, supplementary angles is false.
a linear pair of angles is basically the same as supplementary angles.
they are formed when two lines intersect each other (at a single point). The angles at the intersection point are linear if they are adjacent to each other, and their sum is always equal to 180°.
so, no, linear pair is false.
Antonio bought a box of cookies for $3.84.
If there are 24 cookies in the box, how much did Antonio pay per cookie?
Explain your thinking using 3-5 complete sentences.
Answer:
24 cookies in a box, and it costs 3.84. since the whole thing costs 3.84, to find the unit rate of each cookie, you need to divide the price by the amount of cookies. 3.84 divided by 24 is equal to 0.16. so the price per cookie would be 16 cents.
that's how you find the answer, maybe try to reword it to get the 3-5 sentences you need.
the double number line shows that 4 bottles of water cost 10 dollars at a music festival
Answer:
That means that each water is $2.50, das crazy tho
Step-by-step explanation:
Find the value of x.
Answer:
27.5
Step-by-step explanation:
Answer:
(8-2)180
6*180= 1080
1080- 119- 140- 124- 132- 132- 102 = 331
6x +6x = 331
12x= 331
x= 27.5833
6(x)= 165.5
165.5 +165.5 + 119+ 140 + 124+ 132 + 132+ 102= 1080
Passenger trains leave the station every
40 minutes. Freight trains leave every
30 minutes. If a passenger train and a
freight train just left at the same time, how
long will it be before one of each train
departs at the same time again?
When Passenger trains leave the station every 40 minutes and Freight trains leave every 30 minutes, If a passenger train and a freight train just left at the same time, then it will take 120 minutes for one of each train departs at the same time again
Given,
The passenger trains leave the station every 40 minutes
Freight trains leave every 30 minutes
We have to find the LCM
Prime factorization
30=2×3×5
40=2×2×2×5
LCM(30,40)= 2×2×2×3×5=120
Hence, when Passenger trains leave the station every 40 minutes and Freight trains leave every 30 minutes, If a passenger train and a freight train just left at the same time, then it will take 120 minutes for one of each train departs at the same time again.
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Add the polynomials as indicated. (x² +9x-7) + (-4x²-3x+1)+(x²-x-3)
Answer:−
2
x
2
+
5
x
−
9
Step-by-step explanation:
Answer:
Answer = -2x^2 + 5x - 9
Step-by-step explanation:
First add the x^2 terms :
> x^2 - 4x^2 + x^2
> - 3x^2 + x^2
> -2x^2
Then add the x terms :
> 9x - 3x - x
> 6x - x
> 5x
Then lastly add the last terms :
> -7 + 1 - 3
> -6 -3
> -9
= -2x^2 + 5x -9
Let U = { 14, 15, 16, 17, 18, 19, 20 },
A = { 16, 17, 18, 19 }.
Use the roster method to write the set A′.
Complement of A set in roster form will be {14,15,20}.
U = { 14, 15, 16, 17, 18, 19, 20 },
A = { 16, 17, 18, 19 }.
A'= {14,15,20}
A set is mathematically represented in a straightforward way using roster notation. The elements (or members) of a set are listed in a row inside the curly brackets in the roster form. If the set contains more than one element, a comma is used in a roster notation to indicate the separation of every two elements. A list of the elements of a set, each separated by a comma, enclosed in a set of curly brackets, can be used to describe the contents of the set. Roster form is the term for this method of setting forth a set.
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2) Jamar buy a puppy from the Pet Store for $550 and the sales tax is 7%. What is the total price?
Answer:
Step-by-step explanation:
550.00x.07=38.50
550.00+38.50=588.50
Suppose we want to choose 5 colors, without replacement, from 18 distinct colors.
(a) If the order of the choices does not matter, how many ways can this be done?
(b) If the order of the choices matters, how many ways can this be done?
Considering the definition of permutation and combination:
the number of ways of choosing 5 colors from 18 distinct colors (the order doesn't matter) is 8,568.the number of ways of choosing 5 colors from 18 distinct colors (the order of choices matters) is 1,028,160.Definition of PermutationPermutation is placing elements in different positions. So, permutations of m elements in n positions are called the different ways in which the m elements can be arranged occupying only the n positions.
In other words, permutations (or Permutations without repetition) are ways of grouping elements of a set in which:
take all the elements of a set.the elements of the set are not repeated.order matters.To obtain the total of ways in which m elements can be placed in n positions, the following expression is used:
[tex]mPn=\frac{m!}{(m-n)!}[/tex]
where "!" indicates the factorial of a positive integer, which is defined as the product of all natural numbers before or equal to it.
Definition of combinationCombinations of m elements taken from n to n (m≥n) are called all the possible groupings that can be made with the m elements in such a way that not all the elements enter; the order does not matter and the elements are not repeated.
To calculate the number of combinations, the following formula is applied:
[tex]C=\frac{m!}{n!(m-n)!}[/tex]
This caseIn this case, you know we want to choose 5 colors, without replacement, from 18 distinct colors. This is:
We want to choose 4 colors: n= 5The total number of distinct colors: m= 18(a) If the order of the choices is not taken into consideration, you use a combination as follow:
[tex]C=\frac{18!}{5!(18-5)!}[/tex]
Solving:
[tex]C=\frac{18!}{5!13!}[/tex]
C= 8,568
Finally, the number of ways of choosing 5 colors from 18 distinct colors (the order doesn't matter) is 8,568.
(b) If the order of the choices matters, you use a permutation as follow:
[tex]18P5=\frac{18!}{(18-5)!}[/tex]
Solving:
[tex]18P5=\frac{18!}{13!}[/tex]
18P5= 1,028,160
Finally, the number of ways of choosing 5 colors from 18 distinct colors (the order of choices matters) is 1,028,160.
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Joey made a deposit into
an account that earns 6%
simple interest. After 3
years, Joey had earned $400.
How much was Joey’s initial
deposit? __________________
-6x+15=45
what does x equal/
Answer:
6x Would not be considered as a answer but it is known as a unknown so the answer would be -60
Step-by-step explanation:
This is because it is
Pleasee help ASAP I’m begging u plssss
Help please I’ll give you brainly and extra points
Answer:
It's a non-linear graph
Look at my picture, what’s the missing statement in step 4?
Answer:
Step-by-step explanation:
∠ACE=∠ BCD (reflexive property )
It is common to both the angles or both the angles represent the same angle.
We have to prove two triangles are similar.
Here we show two angles of different triangles are equal.
Hence similar by AA
Answer:
m<CBD is congruent to m<DBC
Step-by-step explanation:
Reflexive property states that any real number, for example a, is equal to itself. < cbd is congruent to < dbc :)