Michael is saving money to buy a bike. So far, he
has saved $25 which is four-fifths of the total cost
of the bike. How much does the bike cost?
Let X = total cost of game
(4/5) X = $25
Multiply both sides of equation by 5/3
(5/3)(3/5) X = (5/3) $25
X = $35
Which expression shows how 8⋅54 can be rewritten using the distributive property?
4⋅50+4⋅4
50⋅8+50⋅4
8⋅50+8⋅4
8⋅50+8⋅54
Answer:
8 • 54=8 • 50 + 8 • 4
Option C is the right answer
Step-by-step explanation:
Answer:
C I think, sorry if I'm wrong
HELP ANSWER PART A AND B
Answer:
part A: median is 12
part B: interquartile rage is 10
Step-by-step explanation:
Part A: to find your median on a box and whisker plot, you just need to look at your middle line in your box. In this case it's 12.
Part B: to find your interquartile range on a box and whisker plot, you subtract your Q1 and Q3. Your Q1 and Q3 will be the two outside lines that make up the rest of your box, in this case would be 6 and 16. To find your Q1 if you don't already have your plot set up, you separate the numbers that are given to you in half and find the median of each side. The first half will be your Q1 and the second half your Q3.
557.59 in terms of pi
help me plzzzzzzzzzzzz
Answer:
9) 21
10) 70
11) 34
12) 31
13) 50
14) 31
15) 137
16) 101
Step-by-step explanation:
9)
20+40=60
60 + b =180 ( sum of the interior angles on a triangle is 180 )
b = 180 - 60
b = 120
39 + c + ? = 180 ( sum of the interior angles on a triangle is 180 ) c =120 ( vertically opposite angles are equal )
39 + 120 + ? = 180
159 + ? = 180
? = 180 - 159
? = 21
________________________________________________________________________________________
10)
60 + 65 + b = 180 ( sum of the interior angles on a triangle is 180 )
125 + b = 180
b = 180 - 125
b = 55
50 + b + c = 180 ( sum of the angels on a straight line is 180 )
50 + 55 + c = 180
105 + c = 180
c = 180 - 105
c = 75
35 + c + ? = 180
35 + 75 + ? = 180
110 + ? = 180
? = 180 - 110
? = 70
________________________________________________________________________________________
11)
84 + 36 + b = 180 ( sum of the interior angles on a triangle is 180 )
120 + b = 180
b = 180 - 120
b = 60
86 + b + ? = 180 ( sum of the interior angles on a triangle is 180 )
86 + 60 + ? = 180
146 + ? = 180
? = 180 - 146
? = 34
________________________________________________________________________________________
12)
35 + 23 + b = 180 ( sum of the interior angles on a triangle is 180 )
58 + b = 180
b = 180 - 58
b = 122
27 + c + ? = 180 ( sum of the interior angles on a triangle is 180 ) c =122 ( vertically opposite angles are equal )
27 + 122 + ? = 180
149 + ? = 180
? = 180 - 149
? =31
________________________________________________________________________________________
13)
115 + b = 180 ( sum of the angels on a straight line is 180 )
b = 180 - 115
b = 65
65 + 90 + c = 180 ( sum of the angels on a straight line is 180 )
155 + c = 180
c = 180 - 155
c = 25
155 + d = 180 ( sum of the angels on a straight line is 180 )
d = 180 - 155
d = 25
c + d + e = 180 ( sum of the interior angles on a triangle is 180 )
25 + 25 + e = 180
50 + e = 180
e = 180 - 50
e = 130
e + ? = 180 ( sum of the angels on a straight line is 180 )
130 + ? = 180
? = 180 - 130
? = 50
________________________________________________________________________________________
14)
35 + 20 + b = 180 ( sum of the interior angles on a triangle is 180 )
55 + b = 180
b = 180 - 55
b = 125
156 + c = 180 ( sum of the angels on a straight line is 180 )
c = 180 - 156
c = 24
c + e + ? = 180 ( sum of the interior angles on a triangle is 180 ) e= 125 ( vertically opposite angles are equal )
24 + 125 + ? = 180
149 + ? = 180
? = 180 - 149
? = 31
________________________________________________________________________________________
15)
b = 45 ( vertically opposite angles are equal )
b + 60 + c = 180 ( sum of the interior angles on a triangle is 180 )
45 + 60 + c = 180
105 + c = 180
c = 180 - 105
c = 75
68 + 75 + e = 180 ( sum of the angels on a straight line is 180 )
143 + e = 180
e = 180 - 143
e = 37
100 + 37 + j = 180 ( sum of the interior angles on a triangle is 180 )
137 + j = 180
j = 180 - 137
j = 43
j + ? = 180 ( sum of the angels on a straight line is 180 )
43 + ? = 180
? = 180 - 43
? = 137
________________________________________________________________________________________
16)
b = 75 ( vertically opposite angles are equal )
c = 45 ( vertically opposite angles are equal )
b + c + e = 180 ( sum of the interior angles on a triangle is 180 )
75 + 45 + e = 180
120 + e = 180
e = 180 - 120
e = 60
e + 79 + j = 180 ( sum of the angels on a straight line is 180 )
60 + 79 + j = 180
139 + j = 180
j = 180 - 139
j = 41
j + 60 + s = 180 ( sum of the interior angles on a triangle is 180 )
41 + 60 + s = 180
101 + s = 180
s = 180 - 101
s = 79
s + ? = 180 ( sum of the angels on a straight line is 180 )
79 + ? = 180
? = 180 - 79
? = 101
________________________________________________________________________________________
hope this helps☆☆☆
it took soooo long to do btw ⊙•⊙
mario made a table with the rules below
rules
x - coordinate
start with 1 and multiply each term by 3
y- coordinate
start with 1 and add 3 to each term
anwer choices
a- (1,1) (3,4) (9,7)
b- (1,4) (3,6) (6,18)
c-(1,3) (3,9) (6,12)
d- (1,3) (1,4) (6,10)
e- (1,1) (3,3) (6,10)
Answer:
a- (1,1) (3,4) (9,7)
Hope you could get an idea from here.
Doubt clarification - use comment section.
18) Jacob is trying to decide whether to attend akeshore University or Bayside University. He
likes both schools equally, and both schools sent him letters of acceptance. Recently
Lakeshore University raised its tuition by 6%. Which statement is most reasonable in this
situation?
a) Jacob should attend Bayside University since it will be less expensive.
b) Jacob should gather more information about tuition before making a decision.
c) Jacob should not worry about a 6% tuition increase since this is a small percent.
Answer: B
Step-by-step explanation: Jacob doesn't know either colleges' actual price. Bayside could still be equal to or more expensive than Lakeshore.
find the equivalent fraction 2/6= __ 2/5= ___
Order these numbers from least to greatest.
2.406, 2.46, 2.2061, 2.2
Answer:
2.2, 2.2061, 2.406, and 2.46
Simplify 4 to the seventh power over 5 squared all raised to the third power . (4 points)
a
4 to the tenth power over 5 to the fifth power
b
4 to the fourth power over 5
c
4 to the twenty-first power over 5 to the sixth power
d
12 to the seventh power over 15 squared
Answer: The answer is C, 4 to the 21st over 5 to the 6th power.
The PTA was doing a fundraiser and bought 500 megaphones to sell for a pep rally. The profit, p, from the sale of megaphones can be represented by p(m) = 3.5m-875. Which inequalities represents the constraints of the range?
A. m>= - 875
B. 0<=p(m) <- 500
C. 0<=m<=500
D. p(m) >= -875
The inequality which represents the constraints of the range is D. p(m) ≥ -875
Since the PTA was doing fundraiser and bought 500 megaphones to sell for the pep rally, and the profit, p, from the sale of megaphones can be represented by p(m) = 3.5m - 875 where m = number of megaphones sold.
To find the inequalities represents the constraints of the range of p(m), we need to know the domain of m.
Since we have 500 megaphones and we can sell from 0 to 500 inclusive. So, the domain of m is 0 ≤ m ≤ 500.
To determine the range of p(m), we insert the values of m at its extreme points into p(m).
So, when m = 0
p(m) = 3.5m - 875
p(0) = 3.5(0) - 875
p(0) = 0 - 875
p(0) = -875
when m = 500
p(m) = 3.5m - 875
p(500) = 3.5(500) - 875
p(500) = 1750 - 875
p(500) = 875
Since for a profit, m ≥ 0. So, p(m) ≥ p(0) = -875
So, p(m) ≥ -875
So, the inequality which represents the constraints of the range is D. p(m) ≥ -875
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what is 2*38 i need help
Answer:
76
Step-by-step explanation:
38 multiplied by 2 = 76
Answer:
76
Step-by-step explanation:
2*38 is as follows
8*2=16
2*30=60
now simply put, 16+60=76
Solve it (Easy question) :
[tex]\lim_{x \rightarrow 1} \cfrac{x {}^{2} - 25 }{x {}^{2} - 5 }[/tex]
The solution to the limit expression [tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} [/tex] is 6
The limit expression is given as:
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5}[/tex]
Express 25 as 5^2
[tex] \lim_{x \to 1} \frac{x^2 - 5^2}{x - 5}[/tex]
Express the numerator as the difference of two squares
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} \frac{(x - 5)(x +5)}{x - 5}[/tex]
Evaluate the quotient
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} (x +5)[/tex]
Remove bracket
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} x +5\\ [/tex]
Substitute 1 for x
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = 1 +5[/tex]
[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = 6[/tex]
Hence, the solution to the limit expression [tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} [/tex] is 6
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Find the value of x need help
Answer:
x=-10
Step-by-step explanation:
since there's a given 120 degrees, and it's a isosceles triangle, we know that the line adds up to 180 (where the 120 degrees is). so 120+x=180, the interior angle measures 60 degrees. That being said, the 3 angles measure 60 degrees also. now there's a right angle mark on top, so we find the angle of the smaller triangle (near angle 2) by doing 90-60=30 degrees.
angle 2 is said to be x+160, and there's a line, which tells us that they must add to 180.. so x+160+30=180
x+190=180
x=-10.
How can you identify the number of solutions of linear equations?
Answer:
A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.
Mark me as brainlist plz :)
A pet shop sells mice, rats and gerbils. The ratio of mice to rats is 4:3 and the ratio of mice to gerbils is 7:4. If there are 32 gerbils in stock at present, how many rats are there? Please could you explain your working out.
Answer:
42 rats.
Step-by-step explanation:
since the ratio of mice to gerbils is 7:4, given that there are 32 gerbils, that means 32/4=8 gerbils; in other words, 56mice:32gerbils. Then, to find the # of rats, the ratio is 4:3, so you take the previous value of the # of mice and divide it by 4 to get 14(3)= 42
To understand this question, we need to know what it's asking and what's important and what is not important. Many people skip this step, but it is very important.
It is asking us to Find how many Rats there are.
This problem is defiantly reduced to the simplistic ratio
The next step is to Find clues
The clues are 32 Gerbils, 7:4 and 4:3
Now i like to make a chart but you may skip this step if you want
Gerbils=32
Mice=??
Rats=??
First, we have to find the numbers of Mice.
(Reducing Ratios divide them by a number like 2:4=1:2)
If you have 32 Gerbils and you reduced it to 4, what did you dived?
32/4=8
So, you multiply 7x8=56
There is 56 Mice.
Our table looks like this
Gerbils=32
Mice=56
Rats=??
Now we use the ratio 4:3 to find the numbers of Rats
If there are 56 mice, and it is reduced to 4, we have to do 56/4 to find out what we have to multiply 3 by to get the total numbers of rats (Inverse Operation) by. We get 14.
So now we do 3x14 in which we get 42.
Our chart now looks like this
Gerbils=32
Mice=56
Rats=42
I Hope this helped if you have any questions just tell me
Solution A is 40% acid and solution B is 80% acid. How many
liters of each should be used in order to make 100 L of a solution
that is 64% acid?
Step-by-step explanation:
Solution A is 40% acid and solution B is 80% acid. How many
liters of each should be used in order to make 100 L of a solution
is 64% acid
There should be 40 L of solution A and 60 L of solution B should be added in order to make 100 L of a solution that is 64% acidic.
What is equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, solution A is 40% acidic and solution B is 80% acidic, they are mixed to get a 100 L solution which is 64% acidic.
Establishing the equations,
A+B = 100
A = 100-B.......(i)
40% of A + 80% of B = 64% of 100
0.4A + 0.8B = 64......(ii)
Solving the equations,
0.4(100-B) + 0.8B = 64
40 - 0.4B + 0.8B = 64
0.4B = 24
B = 24/0.4
B = 60
Putting, B = 60 in Eq(i)
A = 100-60
A = 40
Hence, The amount of solutions needed is A = 40 L and B = 60 L.
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A car travels a total distance of 380 miles in a total of 5 hours. The rate the car was traveling during
that time was
20 POINTS!! PLEASE HELP DUE NOWWW!
Gia started to solve the equation 3(x − 10) − 5x = 2x − 26 below. They want to move the variables to the left side of the equation for their next step.
Fill in Line 4 and give the property.
Line 1: 3(x − 10) − 5x = 2x − 26 Original Problem
Line 2: 3x − 30 − 5x = 2x − 26 Distributive Property
Line 3: -2x − 30 = 2x − 26 Collect Like Terms
Line 4: _______________ _______________
The value of x from the given equation is -1
Given the equation expressed as:
[tex]3(x - 10) - 5x = 2x - 26[/tex]
Expand using the distributive law as shown:
3x - 3(10) - 5x = 2x - 26
3x - 30 - 5x = 2x - 26
Collect the like terms to have:
3x - 5x - 2x = -26 + 30
-2x - 2x = -26 + 30
Simplify the result by addition and subtraction:
-4x = 4
Divide both sides by -4 (Division property of equality)
-4x/-4 = 4/-4
x = -1
Hence the value of x from the given equation is -1
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There are 52 grams of carbs in 1/4 cup of syrup for a particular brand. How many carbs are in 1 tablespoons?
Round your answer to the nearest integer.
There is a total of 52 grams of carbs in 1/4 cup, then 1 tablespoon will contain 208 grams of carbs.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given information in the question,
There are 52 grams of carbs in 1/4 cup of syrup
Let's assume that the amount of carbs in 1 tablespoon is x.
So,
x = (52 × 4)
x = 208 grams.
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QUESTION 20 PLEASE HELPPPP ASAPPPP
Answer: x=-1, y=-8
Step-by-step explanation: solve for the first variable in one of the equations then subsitutte the result into the other equation
HELP ME! I WILL GIVE BRAINLIEST
Answer:
#1 matches with the pizza scenario
#2 matches with the present scenario
#3 matches with the Sarah scenario
Step-by-step explanation:
Look for keywords at the end of the questions and if they go hand and hand (such as in 7 hours / yield 20 servings) then they go together as a pair
PLEASE HELP ILL GIVE BRAINLIESTTTT
Answer:
27
Step-by-step explanation:
Because OC biscts AOB, then COA=COB
Therefore AOB is twice COB
10x+4 = 2(6x-3)
10x+4 = 12x -6
2x = 10
x = 5
Therefore COA is 5x6-3 = 27
Answer:
9 degrees
Step-by-step explanation:
OK so we know that m<AOB is equal to the equation 10x+4. With this in mind, we also know that m<COB equals 6x-3. The ray OC intersects m<AOB, so this means that m<COB plus m<COA equals m<AOB.
First, we find m<COA by reversing the equation around to solve for m<COA.
m<AOB - m<COB = m<COA
Then, we Pug in the angles and solve.
m<AOB = 10x+4
m<COB = 6x-3
10x+4 - 6x-3 = 4x+1
Here is where things get interesting. See those 2 lines in each angle? That means they are equal in measure.
So what you do is simple, find what x equals in order to make this equation below true.
6x-3 = 4x+1
The answer for x is 2. So then just plug in to solve for m<COA and you're done!!
4(2)+1 =9
lil bonus: you can also get the same angle degree by plugging 2 into m<COB
FREE-POINTS
Find x
x+3=5
Answer:2
Step-by-step explanation:
x+3=5
subtract 3 from both sides
x=5-3
x=2
Answer:
x= 2
Step-by-step explanation:
A car traveling at 48 mph overtakes a cyclist who is riding at 16mph had a 3 hour head start how far from the starting point does the car overtake the cyclist?
The car overtakes the cyclist at a distance of 72 miles from the starting point.
,Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let the car overtake the cyclist at distance d and time t.
For the car:
48 = d / t
d = 48t
For the cyclist:
16 = d / (t + 3)
d = 16t + 48
48t = 16t + 48
32t = 48
t = 1.5 hours
d = 48(1.5) = 72 miles
The car overtakes the cyclist at a distance of 72 miles from the starting point.
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1 42.6×37.2 =
2 99.2×48.5 =
3 246.3×9.67 =
4 68.54×24.4 =
5 123.86×31.5 =
Please i need answer
Answer:
1) 1584.72
2) 4811.2
3) 2381.721
4) 1672.376
5) 3901.59
Step-by-step explanation:
#keep learning:)subtract 19/12 - 3/4
[tex] \rm \frac{19}{12} - \frac{3}{4} = \frac{9}{12} - \frac{9}{12} = \frac{9 - 9}{12} = \frac{0}{12} = \bf0 \: \: (done.)[/tex]
Answer:
[tex]\frac{19}{12} - \frac{3}{4}=\frac{5}{6}[/tex]
Step-by-step explanation:
[tex] \frac{19}{12} - \frac{3}{4} [/tex]
[tex] = \frac{19 \times 4}{12 \times 4} - \frac{3 \times 12}{4 \times 12}[/tex]
[tex] = \frac{76}{48} - \frac{36}{48} [/tex]
[tex] = \frac{76 - 36}{48}[/tex]
[tex]= \frac{40}{48} [/tex]
[tex] = \frac{40 \div 8}{48 \div 8} [/tex]
[tex] = \frac{5}{6}[/tex]
Kenya uses mental math to find the sum of 235 and 23. She uses 235,20 and one other number. What is the missing number
Answer:
Step-by-step explanation:
She is missing 3. 235 plus 20 is 255 but the answer is 258 so she is missing 3
Find the value of .
X
100°
Y
130°
x
66°
w
Z
The measure for angle W is 80 degree.
What is Trapezium?A unrestricted polygon or figure with four sides, four corners, and four angles is called a trapezium. Each brace of a trapezium's opposing sides is resemblant to the other.
Similar to other quadrilaterals, the trapezium's four angles add up to 360°. Two of the sides of a trapezium are parallel, and the other two are not. Regular trapezium diagonals cut each other in half.
Given:
We have angles <X= 100, <Y = 130 and <Z= 66.
As, we know that in Trapezium the sum of adjacent angle is 180.
So, <X + <W = 180
100 + <W =180
<W= 180- 100
<W = 80 degree.
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#7) Identify all pairs of congruent angles
Answer:
A, D, G, H
Step-by-step explanation:
Look at the pink(or purple) lines. R and F both have 4 lines, so they're congruent. S and G both have 1 line, so those are congruent too.
-hope it helps
Answer:
1st option: ∠S ≅ ∠G
4th option: ∠T ≅ ∠H
7th option: ∠Q ≅ ∠E
8th option: ∠R ≅ ∠F
Step-by-step explanation:
Side lengths are unnecessary you just look at those loop things. Angles with the same number of "loops" are congruent like how ∠Q and ∠E both have 3 "loops", this means those angles are congruent.