Answer:
30% decrease in price
Step-by-step explanation:
Since 70-49=21, we know that the price decreased by 30 pounds. The formula to find a percentage decrease is that you should then divide the original number(70) by 21(that equals 0.3!) 0.3 as a percentage would then be 30%, so the answer is there is a 30% decrease in price.
Please help >.< (image below)
Answer:
blue and red :>
Step-by-step explanation:
Simplify these expressions a) 5x +3x + 2y + 4y b) 6x - 2x + 8y - 6y
Answer:
[tex]a) \: 5x + 3x + 2y + 4y \\ = 8x + 6y[/tex]
[tex]b) \: 6x - 2x + 8y - 6y \\ = 4x + 2y[/tex]
I hope I helped you^_^
an amsuement park sells child and adult tickets at a ratio of 8:1. On Saturday they sold 147 more child tickets than adult tickets. How many tickets did the amusement park sell on Saturday?
Step-by-step explanation:
Given that, when the difference is 147 7 times the number of adult tickets sold will be 147. Therefore, the number of adult tickets sold will be 21 and the number of children tickets sold will be 168. TheTOTAL TICKETS SOLD is 21 + 168 = 189.Please help I don't know how to do this
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Answer:
7.84 to 8.16 ounces
Step-by-step explanation:
The difference between the actual amount in the bottle and the target amount of 8 ounces can be at most 2% of 8 ounces. That amount is ...
0.02×8 oz = 0.16 oz
The amount in the bottle can be this much higher:
8 + 0.16 = 8.16 . . . ounces
or, it can be that much lower:
8 - 0.16 = 7.84 . . . ounces
The range of values the bottle could contain is from 7.84 ounces to 8.16 ounces.
An examination paper consists of 12 questions divided into two parts A and B.
Part A contains 7 questions and Part B contains the remaining questions. A candidate required to attempt 8 questions selecting at least 3 from each part. In how many ways can the candidate select the question
Answer:
420 waysStep-by-step explanation:
There are 3 possible scenarios
1) 5 questions from A and 3 questions from B:
[tex]_7C_5*_5C_3=7!/5!2!*5!/3!2! = (6*7)/2*(4*5)/2=210[/tex]2) 4 questions from each part:
[tex]_7C_4*_5C_4=7!/4!3!*5!/4!1! = (5*6*7)/(2*3)*5=175[/tex]3) 3 questions from A and 5 questions from B:
[tex]_7C_3*_5C_5=7!/4!3!*1 = (5*6*7)/(2*3)=35[/tex]Total number of ways:
210 + 175 + 35 = 420Answer:
Student has to do 8 questions such that he does at least 3 questions from both the sets
How can he go about (Set I, Set II) =(3,5) or (4,4) or (5,3)
So, total number of ways of doing this is given by
[tex]5c_{3} \times 7c_{5} + 5c_{4} \times 7c _{4} + 5c_{5} \times 7c _{3}[/tex]
[tex] = (10)(21) + (5)(35) + (1)(35) = 210 + 210 = 420[/tex]
(ノ^_^)ノ
The length of a rectangle is 3 ft longer than its width.
If the perimeter of the rectangle is 46 ft, find its area.
Answer:
Area = 130 ft^2
Step-by-step explanation:
Area =length * width
Perimeter = 2(L + W)
L=3+x
W= x
Perimeter= 2(3+x+x) =2(3 +2x)=6+4x=46 so x=10
L=3 +10= 13
W= 10
Area = 13* 10 130
maya placed a 25-foot ladder is 6 feet from the wall, how far up the wall is the top of the ladder
The amount Shari earns at her job is represented by the equation below. When r is her hourly rate and x is her number of hours she works in a week and she earns in dollars that week. If she earns $281.25 for working 25 hours in a week, what is her hourly rate?
Answer:
Shari's hourly rate is $11.25
Step-by-step explanation:
$281.25/x=r
= $281.25/25=r
= $11.25
whats the smallest natural number that has exactly 6 factors and isn't divisible by 2,3 or both
Answer:
- 25
Step-by-step explanation:
HELP ME OUT PLEASE
What is the slope of this line?
Answer:
-3/4 I think sorry if i'm wrong i can't see the rest of the graph to make sure it's totally correct.
Step-by-step explanation:
Tonya saved $564 in one year. If she saved the same amount each month, how much did Tonya save in two months?
LCF of 12 and 20 please
l really need help plz i will mark brainliest plz help
[tex]\\ \sf\longmapsto x+5+x-5=80[/tex]
[tex]\\ \sf\longmapsto 2x=80[/tex]
[tex]\\ \sf\longmapsto x=40[/tex]
Angles are
180-80=100°x+5=40+5=45°x-5=40-5=35°No sean was wrong
Answer:
Sean is not correct. The answers are 100°, 35° and 45°.
Step-by-step explanation:
In my working, I labeled the part without a variable as a°.
Step 1: a° + 80° = 180° ( angles on a straight line sum up to 180° )
Step 2: a° = 180° - 80°. This is because 80 moves from the left side of the equation to the right side of the equation which affects it's sign( from + to -)
Step 3: a° = 100° . Subtract 80 from 180.
So we know that 100 is correct. Let's find the remaining angles.
Step 4: a° + ( x - 5 )° + ( x + 5 )° = 180° ( angles in a triangle sum up to 180°)
Step 5: 100° + x - 5° + x + 5° = 180°. Fix in the values of each variable correctly. Here we only know the value of variable a.
Step 6: (100° - 5° + 5°) + (x + x) = 180°. Group like terms to make calculations easier.
Step 7: 100° + 2x = 180°. -5+5 is the same as 5-5 which would give you 0. 0 + 100° is 100°.
Step 8: 2x = 180° - 100°. Move like terms to one side.
Step 9: 2x= 80°. Subtract 100° from 180° to get 80°
Step 10: 2x/2 = 80°/ 2. Divide both sides by 2.
Step 11: x= 40°. But this isn't the final answer. This is just the answer for all the x you see in the diagram. So fix in the values correctly.
Step 12: ( x-5° ). State it for your teacher to know which question you are given an answer to. From our calculations, we know that x = 40°.
Step 13: (40° - 5°)
Step 14: ( 35°). 40 minus 5 is 35.
Step 15: 35°. multiply the figure in the bracket by one. We can't leave our answer in the bracket.
Step 16: (x + 5). Using the same knowledge, fix in the values and do as the operation sign says.
Step 17: ( 40° + 5 °)
Step 18: (45°)
Step 19: 45 °
Step 20: Sean is not right because the angles in the triangle are 100°, 35° and 40°.
write an equation of that line passes through the points (2.-1) and (2,5)
Answer:
x = 2
Step-by-step explanation:
HELP PLEASE ILL MARK AS BRAINLIEST
Answer:
hey where I sent I solved it in my notebook
Hey can anyone help please and thank you !
Answer:
x = 2
Step-by-step explanation:
Answer:
X=2
Step-by-step explanation:
9x+4=3x+16
9x-3x=6x
6x+4=16
16-4=12
12/6=2
Last year there were 249 pies baked for the bake sale. This year, there were c pies baked. Using c, write an expression for the total number of pies baked in the two years
Answer:
249 + c
Step-by-step explanation:
The total of the 2 years is 249 from last year plus c from this year.
249 + c
can anybody help?? I need to drag the correct answer into the boxes !
Answer:
276 equals the number of pages in the book
35d the number of pages she read during 1 week
35 equals the number of pages read in 1 day and the number of pages read in d days
Step-by-step explanation:
Which number is farthest away from 0?
-16
-39
7
12
-39 is the furthers away from 0
this is because if you draw a number line -16 would be 16 away from 0, 12 would be 12 away from zero and 7 would be 7 away from 0...
| - - - - - - - - - - - - - - - |- - - - - - | - - - - |
16 0 7 12
and -39 would be 39 digits away from 0, therefore its the furthest away from 0
Hope this helped you- have a good day bro cya)
Answer:
-39, or the absolute value of 39 is farthest from 0.
Step-by-step explanation:
-16 is 16 units from 0.
-39 is 39 units from 0.
7 is 7 units from 0.
12 is 12 units from 0.
39 > 16
39 > 7
39 > 12
Hope this helps!
Find the time required for an investment of 5000 dollars to grow to 6800 dollars at an interest rate of 5.5% per year, compounded quarterly. Round to the nearest year.
Answer:
i think 6 years
Step-by-step explanation:
Evaluate the expression.
-2(12 – 2(-4))?
What is the value of the expression
Answer:
-40
Step-by-step explanation:
-4 * 2 = -8
-8*-1= 8
12+8 = 20
20*(-2) =-40
Answer:
The answer is -40.
Step-by-step explanation:
Use PEMDAS and the distributive property.
PLEASE MARK AS BRAINLIEST!!!!!The square in the middle has an area of 1 square unit. What I'd the area of the entire rectangle in square units? Explain you reasoning
The entire rectangle is 4 square units because the two triangles on the top put together makes the same shape as the square in the middle, which makes it 1 square unit. And the two bigger triangles on the bottom can create two squares if you break them apart and rearrange them again. So all of those shapes put together equals 4 square units.
Which of these relations is a function
Hello There! :)
Option B
A function must pass the Vertical line test. Draw a line. If it touches the graph more than once, it's a relation. If it touches the graph once, it's a function.
Hope this helps!
Andrea is buying some new shirts and sweaters. She is Able to buy three shirts and two sweaters for $113 or she is able to buy T-shirts and four sweaters for 166 how many dollars does a shirt cost how many dollars does a sweater cost
Answer:
y = 28.75
x = 26.5
Step-by-step explanation:
I think the amount of the second T-shirts purchased should be 2
Let the cost of each shirt be $ x, and the cost of each sweater be $ y.
Since the cost of each shirt is $ x, the cost of 3 shirts will be $ 3x and the cost of 2 shorts will be $ 2x.
Likewise, cost of each shirt is $ x, so the cost of 2 shirts will be $ 2x and cost of 4 sweaters will be $ 4y.
Andrea was able to buy 3 shirts and 2 sweaters for $113. This means:
Cost of 3 shirts + Cost of 2 sweaters = 113
Equation 1: 3x + 2y = 113
She was able to buy p shirts and 4 sweaters for $166. This means:
2x + 4y = 166
Dividing both sides by 2, we get:
Equation 2: x + 2y = 84
Subtracting Equation 1 from Equation 2, we get:
x + 2y - (3x + 2y) = 166 - 113
x + 2y - 3x - 2y = 53
2x = 53
x = 26.5
Using the value of x, in Equation 2, we get:
26.5 + 2y = 84
2y = 57.5
y = 28.75
Since, x represents the cost of shirt, the cost of each shirt is $ 26.5.
y represents the cost of sweater, so the cost of each sweater is $ 28.75.
PLEASE HELP
will mark brainliest!!!
Answer:
f(x) = 8x
Step-by-step explanation:
The linear equation given in the form of a table is shown as:
[tex]\left[\begin{array}{ccc}x&f(x)\\3&24\\4&32\\5&40\\6&48\end{array}\right][/tex]
Because the equation is linear, in order to find the equation written in slope-intercept form, divide the rise (f(x)) by the run (x):
24 ÷ 3 = 8
32 ÷ 4 = 8
40 ÷ 5 = 8
48 ÷ 6 = 8
Because the quotient for each relation is 8, the linear equation can be written as f(x) = 8x.
Please help with this postulate! :)
Answer:
C. ASA postulateStep-by-step explanation:
We observe two angles and the included side of ABC are congruent to two angles and the included side of DBE:
∠A ≅ ∠D∠C ≅ ∠ EAC ≅ DEThis is called ASA
Answer:
ASA postulate
Answer C is correct
Step-by-step explanation:
<ACB = < BED (Angle)
AC = DE (Side)
<CAB = < BED = 90° (Angle)
Therefore,
ABC triangle is congruent to DBE triangle according to ASA postulate.
Hope this helps you.
Let me know if you have any other questions :-):-)
Please show all your work! Tysm if u do :-)
I will give brainilest!
Answer:
3 2/3= 11/3
Step-by-step explanation:
3x3/3=9/3+ 2/3=11/3
If x=-2 and y= √12, then 2(3x³+2y²)=
Answer:
2%283x%5E3+%2B+2y%5E2%29
2%283%28-2%29%5E3+%2B+2%28sqrt%2812%29%29%5E2%29
2%283%28-8%29+%2B+2%2812%29%29
2%28-24+%2B+24%29
2%280%29
0
So 2%283x%5E3+%2B+2y%5E2%29=0 when x=-2 and y=sqrt%2812%29
Answer:
0
Step-by-step explanation:
The solution is in the attached file
Please do number 2 please!!!!!!
Answer:
Y=mx+c
(4,2), (3,5)
answer is -3
Step-by-step explanation:
4=x1 and 2=y1
3=x2 and 5=y2
y2-y1/x2-x1
5-2/3-4
3/-1 or -3
since we are finding the slope,we have to minus the y2 from the y1 over the x2-x1 and we minus then simplify.
On a family outing, Tyler bought 5 cups of hot cocoa and 4 pretzels for
$18.40. Some of his family members would like a second serving, so he
went back to the same food stand and bought another 2 cups of hot cocoa
and 4 pretzels for $11.20.
Here is a system of equations that represent the quantities and constraints
in this situation.
5c + 4p = 18.40
2c + 4p - 11.20
If we add the second equation to the first equation, we have a new equation: 7c + 8p = 29.60
Explain why the same (c, p) pair that is a solution to this new equation.
9514 1404 393
Answer:
the properties of equality tell you so
Step-by-step explanation:
A couple of properties of equality come into play here:
the addition property of equalitythe substitution property of equalityEach of the properties of equality tells you an operation you can perform on an equation without changing the values of the variables that satisfy that equation.
If we start with the equation ...
5c + 4p = 18.40
and we add 11.20 to both sides, we have not changed the values of the variables that satisfy this equation. This is the addition property of equality.
(5c +4p) +11.20 = (18.40) +11.20
The substitution property of equality says I can substitute anything for its equal. The second given equation tells me that 2c +4p = 11.20. This means I can use 2c+4p wherever 11.20 might be found without changing any variable values. In the equation we got from addition, we can now make this substitution, and we have ...
(5c +4p) +(2c +4p) = (18.40) +(11.20)
7c +8p = 29.60 . . . . . . . collect terms
We obtained this equation using properties of equality that guarantee solutions to these equations are not altered by the process.
_____
*Additional comment
Technically, by doing the "collect terms" step, we have made the assumption that the values of c and p that satisfy the first equation are the same as the values of c and p that satisfy the second equation. This is usually the case we're interested in.