Answer:
32
Step-by-step explanation:
brainliest?
Nicholas put 1,012 baseball cards into boxes. He put 22 cards in each box. How many boxes did Nicholas need for these baseball cards?
Answer:
46 boxes
Step-by-step explanation:
1012 / 22 = 46
I need step by step explanation i this question.
The ratio of football to total equipment is 3/ 7
What is ratio?Ratio can be defined as the comparison of two or more numbers with their sizes in relation to each other.
It explains how many times one number contains another.
From the diagram shown, we have:
6 footballs2 handballs3 pairs of shoesRatio of football to total equipment is;
= 6/ 6 + 2 + 6
= 6/ 14
Find common divisor
= 3/ 7
Thus, the ratio of football to total equipment is 3/ 7
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What is the slope of the equation y – 5 = –3x?
Answer:
-3
Step-by-step explanation:
Write the equation in slope -intercept form: y = mx + b
where m is the slope.
y - 5 = -3x
y = -3x + 5
Slope = -3
\(y-5 =-3x\)
2. Add "5" on both sides of the equation.\(y-5+5 =-3x+5\\ \\y=-3x+5\)
3. Identify the slope.The slope of a linear equation will always be the coefficient of the "x" variable when the equation is equalled to "y". The coefficient is just the number that multiplies the variable. Hence, the coefficient of this line is "-3". Check the attached image.
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A fighter jet F and a helicopter H leave the airport A at the same time. The jet flies 25 km on a bearing of 040° and the helicopter flies 30 km on a bearing of 320°. How far apart are the aircraft? (Use a scale of 1 cm to represent 5 km.)
Answer:
FH = 35.64
Step-by-step explanation:
(∠A = 360 so the other angle is 40)
By law of cosines,
FH² = AH² + FA² - 2(AH)(FA) * cos(A)
= 30² + 25² - 2(30)(25) * cos(80)
= 900 + 625 - 1500 * 0.17
= 1525 - 255
FH² = 1270
FH = √1270
FH = 35.64
What is the intermediate step in the form (x+a)^2=b as a result of complementing the square for the following equations
The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.
To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.
Add the square of half of the coefficient of x to both sides of the equation:
x² + 2x + (2/2)² = 319 + (2/2)²
x² + 2x + 1 = 320
The left-hand side of the equation can now be factored as a perfect square:
(x+1)² = 320
This is the equation in the form (x+a)²=b, where a=1 and b=320.
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The complete question is as follows:
What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?
x² + 2x = 319
(x+y)^(2)-37 pleas answer i need help so bad
Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
If x plus 3/4 = 1, then which point on the number line could be x?
Answer:
x=1/4
Step-by-step explanation:
1/4+3/4=1 whole
Answer:
\(x = \frac{1}{4}\)
Step-by-step explanation:
Step 1: Subtract \(\frac{3}{4}\) from 1
\(1 - \frac{3}{4}\\\\= \frac{1}{4}\)
Therefore, the point could be \(\frac{1}{4}\)
Which set of ordered pairs is NOT a function ?
{(3, 2) (4, 1) (5, 2) (8,8) }
{(3, 6) (2, 1) (6, 2) (5,9)}
{(7,3) (8, 2) (3,6) 7,4)}
(4.4) (5, 4) (1,4) (7,4)}
Answer:
the 2nd to last one................
c2= 0.25
How to solve that problem
Answer:
-1.75
Step-by-step explanation:
c 2 = 0.25
I assume the c is just a variable
then
c = 0.25 - 2
= -1.75
Complete the table above. Also, find the number students that can be chaperoned by 9 teachers.
Select the slope and y-intercept of the relationship shown in the table
Answer:
slope = 0.05, y-intercept = 2,000Hence, option A is true.
Step-by-step explanation:
x y
10, 000 2,500
20, 000 3,000
30, 000 3, 500
Taking two points (10000, 2500) and (20000, 3000) to find the slope between the points
\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)
\(m=\frac{3000-2500}{20000-10000}\)
\(m=\frac{1}{20}\)
\(m=0.05\)
We know that the slope-intercept form of the line equation is
\(y=mx+b\)
where 'm' is the slope and 'b' is the y-intercept
substituting the point (10000, 2500) and m=0.05 in the slope-intercept form
\(y=mx+b\)
\(2500\:=\:0.05\left(10000\right)+b\)
\(500+b=2500\)
\(b=2000\)
Thus, the y-intercept is: b=2000
Thus,
slope = 0.05, y-intercept = 2,000Hence, option A is true.
The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 8 dollars.
If a sample of 49 bags of shrimp is randomly selected, what is the probability that the sample mean would be less than 37.4 dollars? Round your answer to four decimal places.
Answer:
The mean of the sample distribution of the sample mean is the same as the population mean, which is 40 dollars. The standard deviation of the sample distribution of the sample mean (also called the standard error) is given by:
standard error = standard deviation / sqrt(sample size) = 8 / sqrt(49) = 8 / 7
To find the probability that the sample mean would be less than 37.4 dollars, we need to standardize the sample mean using the standard error and then look up the probability from a standard normal distribution table. The z-score for a sample mean of 37.4 dollars is:
z = (37.4 - 40) / (8 / 7) = -1.225
Looking up this z-score in a standard normal distribution table, we find that the probability of getting a sample mean less than 37.4 dollars is 0.1103 (rounded to four decimal places). Therefore, the probability that the sample mean would be less than 37.4 dollars is 0.1103.
give thanks, your welcome <3
Step-by-step explanation:
what is the solution to the system of equations y23x3 x 2
The Solution for the given system of equations is (-2) and \((\frac{5}{3})\).
The given are linear equations as follow:
y = \(\frac{2}{3}x\) + 3 .. ... ...(1)
and x = -2. .. .... ...(2)
We already know the first part of the solution (x) which is -2. We can find the other part (y) by putting the value of equation (2) in equation (1).
By putting the values of x in equation (1), we get
y = \((\frac{2}{3})(-2)\) + 3
y = \(\frac{-4}{3}\) + 3
Taking the L. C. M of denominators which will be '3', we get:
y = \(\frac{-4 + 9}{3}\)
y = \(\frac{5}{3}\)
So the second part (y) of the solution of the given equation is \(\frac{5}{3}\).
Hence, the overall solution to the given system of equation is \((-2, \frac{5}{3})\).
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4. Function h describes the height of a ball, in inches, after n bounces and is defined by
the equation h(n) = 120 * (4/5)^n
Could h(n) be 150? Explain how you
Answer:
NO
Step-by-step explanation:
(4/5)^n will always be ≤ 1 for any positve n
The equation h ( n ) = 150 is false
No , the height of the ball cannot be 150 inches
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
h ( n ) = 120 x ( 4/5 )ⁿ
Now , substitute the value of h ( n ) = 150 , we get
150 = 120 ( 4/5 )ⁿ
Divide by 120 on both sides of the equation , we get
150 / 120 = ( 4/5 )ⁿ
On simplifying the equation , we get
5/4 = ( 4/5 )ⁿ
The equation is not true because we have a exponential decay function here. This height of the ball decreases with each bounce.
At bounce 0 the height of the ball is 120 inches, and then continuously decreases with a common factor of 4/5
Therefore , the value of h ( n ) can never be 150
Hence , the equation h ( n ) = 150 is false
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. In a fort, there were provisions for 400 men for 23 weeks. 60 more men joined them. How long will the provisions
last?
The additional 60 men, the provisions will last for approximately 20 weeks.
To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.
Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.
Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.
To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:
Provisions last = Total person-weeks / Number of men
= 9200 / 460
≈ 20 weeks (rounded to the nearest whole number)
The additional 60 men will extend the supply's shelf life to around 20 weeks.
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sue eats 3/8 of a cherry pie. Jan
eats
Answer:
If you're saying Jan ate 1/4 of what was left. How much of the pie did Jan eat?
then the answer is 5/32
Step-by-step explanation:
is 3/4 equivalent to 27/36
Answer:
yes , 27/36=3*9/4*9=3/4 both the number 27 and 36 can be multiplied by 9 and can be reduced to its lowest form i.e.
Please help me!!!!!! I will give brainliest!!!!! Fast!!!!!7 students from a class of 10 are going to be chosen to be on the dance committee. Find the number of different 7-person committees that can be made
Answer:
5040
Step-by-step explanation:
7*6*5*4*3*2*1=5040
The correct number of different 7-person committees that can be made is,
⇒ 5,040
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given that;
7 students from a class of 10 are going to be chosen to be on the dance committee.
Hence, the number of different 7-person committees that can be made is,
⇒ 7!
⇒ 7 × 6 × 5 × 4 × 3 × 2 × 1
⇒ 5,040
Thus, The correct number of different 7-person committees that can be made is,
⇒ 5,040
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If jan can buy 12 copies of a certain book for $40 what is the unit rate cost per copy
Answer:
3.33 repeated
Step-by-step explanation:
Since we know that 12 copies are $40, we can set up an equation which would look like this.... 40/12=1/x in order to find the unknown, let's call that x, we have to divide both the 40 AND the 12 by 12, the reason we are diving by 12 and not 40 is because we need to identify the cost per copy.
So the overall answer would be 3.33 dollars/1 copy in other words $3.33 per one copy.
if each hash mark represents a spacing of 10 in which of the following ranges of values would you find |x|
Answer:
B, Between -40 and -50
Step-by-step explanation:
Because, X lies between hask mark 4 and 5 to the left of 0, which would make it -40 and -50.
If 20 drops fall in 76 seconds, how long will 8 drops take?
Answer:
x =30.4 seconds
Step-by-step explanation:
We can use ratios to solve
20 drops 8 drops
--------------- = ----------------
76 seconds x seconds
Using cross products
20x = 8*76
20x =608
Divide each side by 20
20x/20 = 608/20
x =30.4 seconds
Answer:
30.4 secs = 30secs
Step-by-step explanation:
20 drops fall in 76s
Hence 1 drop is 76/20
Therefore 8 drops would be ;
76/20 × 8 = 30.4 secs
Four friends went to eat at a restaurant. The bill came to $25.68 after tax and tip. One friend had a $5.00 off coupon that the cashier needed to take off the total bill. How much is each person to pay if they split the bill equally after the discount?
Answer:
$5.17
Step-by-step explanation:
Take 25.68 and subtract the $5.00 coupon. Then divide the total by 4 to get the answer
if Jordan can 16 Pies in two hours, how many pies can he eat in six hours
URGENT!!! Find the surface area of the regular pyramid to the nearest hundredth.
Answer:
632.83mm²
Step-by-step explanation:
Applying Pythagorean theorem to triangle SOH
SH² = SO² + OH²
SH = \(\sqrt{(15.4)^2+(7.2)^2}=17mm\)
Since the base of the pyramid is a regular pentagon, angle OAH
is 108°/2 = 54°.
AH = 7.2/tan 54° = 5.23mm
So AB = 2AH = 10.46mm
The area of triangle SAB is:
A1 = 1/2 × SH × AB = 1/2 × 17 × 10.46 = 88.91mm²
The area of all triangles is
A2 = 5 × A1 = 5 × 88.91 = 444.55mm²
The area of the base is:
A3 = (perimeter × apothem)/2 = (5 × 10.46 × 7.2)/2 = 188.28mm²
The surface area of the pyramid is:
A2 + A3 = 444.55 + 188.28 = 632.83mm²
Step-by-step explanation:
the surface area is the sum of the base area (pentagon) and the 5 side triangles (we only need to calculate one and then multiply by 5, as they are all equal).
these side triangles are isoceles triangles (the legs are equally long).
the usual area formula for a pentagon is
1/2 × perimeter × apothem
the apothem is the minimum distance from the center of the pentagon to each of its sides.
in our case this is 7.2 mm.
how to get the perimeter or the length of an individual side of the pentagon ?
if the apothem of a pentagon is given, the side length can be calculated with the formula
side length = 2 × apothem length × tan(180/n)
where 'n' is the number of sides (5 in our case). After getting the side length, the perimeter of the pentagon can be calculated with the formula
perimeter = 5 × side length.
so, in our case
side length = 2 × 7.2 × tan(180/5) = 14.4 × tan(36) =
= 10.4622124... mm
perimeter = 5 × 10.4622124... = 52.31106202... mm
area of the pentagon = 1/2 × perimeter × apothem =
= 1/2 × 52.31106202... × 7.2 = 188.3198233... mm²
now for the side triangles.
the area of such a triangle is
1/2 × baseline × height
baseline = pentagon side length
height we get via Pythagoras from the inner pyramid height and the apothem :
height² = 7.2² + 15.4² = 51.84 + 273.16 = 289
height = 17 mm
area of one side triangle =
1/2 × 10.4622124... × 17 = 88.92880543... mm²
all 5 side triangles are then
444.6440271... mm²
and the total surface area is then
444.6440271... + 188.3198233... = 632.9638504... mm²
≈ 632.96 mm²
Write the composition of translations as one translation:
Answer:
sum like dat
Step-by-step explanation:
is a combination of two or more ... lines has the same effect as a translation (twice the distance between the parallel lines).
Goals Scored (per game)
There is a [DROP DOWN 1] association between the amount of goals scored and the number of wins a hockey team has. Most of the data points fall between [DROPDOWN 2] goals scored and [DROPDOWN
3] number of wins. Causation (DROPDOWN 4] be established because their relationship was not in a controlled setting.
There is a Weak positive association between the amount of goals scored and the number of wins a hockey team has. Most of the data points fall between 4 goals scored and 5 number of wins. Causation cannot be established because their relationship was not in a controlled setting.
What is experiment about?When if a relationship between two variables is said to be negative, it is one that does not just necessarily mean that the association is weak. Although though both variables tend to increase in reaction to one another, a weak positive correlation depicts that the relationship is not very strong.
Therefore, even though the data tells us that there is a weak positive relationship that exist between the two variables, it is vital to know that that correlation does not equal causation.
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What is the sum of k° + i°?
DE bisects AC at point B. AC=a+23
and AB = 3a + 4. Find BC.
Y
X
13
2
X
(X) XS
X₁
IV
skill code: 1604005
TT
The length BC of the bisected line segment is: 11.5
What is the length of the line after bisection?Usually a line that bisects a segment usually divides that segment into two equal parts.
Now, we are told that DE bisects Line AC at point B where AB = 3a + 4.
Thus, from the idea of a bisected segment, we can easily say that:
2(3a + 4) = a + 23
6a + 8 = a + 23
6a - a = 23 - 8
6a = 15
a = 15/6
a = 5/2
a = 2.5
Thus:
AB = BC = 3(2.5) + 4
BC = 11.5
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a potter is making cups and saucers. each cup takes c minutes to produce, and each saucers takes s minutes. Th epotter can produce three cups and two saucers in 19 mnutes
Answer:
1) 3c+2s=19
4c+5s=30
2) c=5 s=2
3)42minutes
Step-by-step explanation:
The potter need 3c minutes to make three cups and 2s to make two saucers, then he needs 3c+2s minutes to make both of them
3c+2s=19
He needs 4c+5s minutes to produce 4 cups and 5 saucers
4c+5s=30 (half of an hour is 30 minutes)
So the equations are
3c+2s=19
4c+5s=30
2) to solve you should express c from the first equation and use it in the second equation
3c=19-2s
c=19/3-(2/3)*s
4(19/3-(2/3)*s) +5s=30
76/3-(8/3)*s+5s=30
(7/3)*S= (14/3)
s=2
3c=19-4
3c=15
c=5
3) 6c+6s= 6(c+s)= 6(5+2)=6*7=42