If 5x - 3y = 1 and x = 2y - 4, then x • y = ?
I don’t need an explanation of the answer since it’s multiple choice, but feel free to give an explanation if you want :) thank you and please answer quickly this is due tomorrow!!
Answer:
x = 2, y = 3
Step-by-step explanation:
i) It is given that 5x - 3y =1
ii) It is also given that x = 2y - 4
iii) we can substitute the value of x from ii) in the equation in i) and we will get 5(2y - 4) - 3y = 1 ⇒ 10y - 20 -3y = 1 ⇒ 7y = 21 ∴ y = 3
iv) substituting the value of y obtained in ii) we get x = (2 × 3) - 4 = 6 - 4 = 2.
v) Therefore x = 2.
If the base angles of an isosceles triangle each measure 37° then the vertex angle measures 106°
Answer:
the given statement is true.
Step-by-step explanation:
i) It is given that the base angles of an isosceles triangle each measure 37°.
ii) Adding the values of the base angles is = 37° + 37° = 74°
iii) from the property of triangles we know that the sum of all the angles in a triangle is equal to 180°
iv) let the vertex angle be = y°
v) Therefore we can say from ii), iii) and iv) above that
74° + y° = 180°
vi) therefore the vertex angle y = 180° - 74° = 106°
Hence the given statement is true.
Riley drink 4/5 quart of iced tea and her friend drink 0 3/10 quart how much more of a quart of iced tea did Riley drink than her friend
Answer:
[tex]\frac{1}{2}[/tex] quart
Step-by-step explanation:
Given:
Riley drink 4/5 quart of iced tea
And her friend drink 0 3/10 quart of iced tea
Question asked:
how much more of a quart of iced tea did Riley drink than her friend = ?
Solution:
Riley drank of iced tea = [tex]\frac{4}{5}[/tex]
Her friend drank of iced tea = [tex]0\frac{3}{10}[/tex]
= [tex]\frac{3}{10}[/tex]
We will subtract the share of her friend from Riley's share
Riley drank more than her friend =[tex]\frac{4}{5} - \frac{3}{10}[/tex]
= [tex]\frac{5}{10}[/tex]
= [tex]\frac{1}{2}[/tex]
Thus, Riley drank [tex]\frac{1}{2}[/tex] quart more than her friend.
Final answer:
Riley drank 1/2 quart more iced tea than her friend, which is the difference between 4/5 quart and 3/10 quart.
Explanation:
The question asks how much more of a quart of iced tea did Riley drink than her friend. Riley drank 4/5 quart and her friend drank 3/10 quart. To find out the difference, we subtract the smaller amount from the larger amount:
4/5 quart - 3/10 quart = 8/10 quart - 3/10 quart = 5/10 quart or 1/2 quart.
Therefore, Riley drank 1/2 quart more iced tea than her friend.
hiro thinks -5 = -5 is hiro thinking correct
1/4 of 1% expressed as a decimal
Answer:
0.0025
Step-by-step explanation:
:)
1/4 of 1%, when expressed as a decimal, is equal to 0.0025
What do we mean by percentage?A percentage is a ratio with the second part always equal to 100. It represents parts per hundred.
How do we solve the given question?We have been given 1%.
We replace percentage in fraction, and then fraction to decimal.
1% = 1/100 = 0.01
Now, we need to calculate 1/4th of this value, that is, 0.25 multiplied by the above value,
= 0.25 * 0.01 = 0.0025
So, our answer is 0.0025.
Learn more about Percentage at
https://brainly.com/question/843074
#SPJ2
Solve
A = P + PrT for A, given that P = $950,r = 3 1/2%, and t = 10 years.
Answer:
10 days the balance is $1,000, but then the balance drops to $950.
Step-by-step explanation:
For the first 10 days the balance is $1,000, but then the balance drops to $950.
If 24 people have the flu out of 360 people, how many would have the flu out of
900?
If 24 people have the flue out of 360 people then out of 900, 60 people would have flue if solved through percentage.
What is a percentage?It is a ratio expressed as a fraction of 100. it's expressed using the sign %.
How to calculate percentage?The percentage of individuals gets affected from flue out of 360 is 24*100/360
=2400/360
=6.67%
Then per 6.67% out of 900 approx 60 (900*6.67%) people would be affected from flue.
Learn more about percentage at https://brainly.com/question/24304697
#SPJ2
The bodega offers two deals on chicken nuggets. In deal #1 you can buy 5 chicken nuggets for $7.50. In deal #2 you can buy 8 chicken nuggets for $10.00. In which deal is each chicken nugget cheaper.
Answer:
The 2nd deal is better
Step-by-step explanation:
First you divide the chicken nuggets by the price and then find how much one chicken nugget costs. In this case $10 divided by 8 is $1.25 while $7.50 divided by 5 is $1.50. The first deal costs more for one chicken nugget so deal 2 is better
Answer:
deal 2 is better the chicken nuggets are cheaper and you could have more chicken nuggets even though it cost more then deal 1, 1 chicken nugget is cheaper in deal 2 than it is in deal 1 so I think you should go for deal 2 Hope I Helped :)
Step-by-step explanation:
A cylinder has volume 78 cm3 . What is the volume of a cone with the same radius and height? A 26 cm3 B 39 cm3 C 156 cm3 D 234 cm3
Answer:
Option A - [tex]26 \mathrm{cm}^{3}[/tex]
Step-by-step explanation:
Given: The volume of a cylinder = [tex]78 \mathrm{cm}^{3}[/tex]
Let us substitute the volume of cylinder in the formula.
The formula for volume of a cone is [tex]V=\frac{\pi r^{2} h}{3}[/tex] (1)
The formula for volume of a cylinder is [tex]V=\pi r^{2} h[/tex] (2)
Substituting [tex]V=78[/tex] in equation (2), we get,
[tex]\begin{array}{c}{V=\pi r^{2} h} \\{78=\pi r^{2} h}\end{array}[/tex]
Given that the cone has the same radius and height of that of the cylinder, let us substitute [tex]78=\pi r^{2} h[/tex] in equation (1)
[tex]\begin{array}{l}{V=\frac{\pi r^{2} h}{3}} \\{V=\frac{78}{3}} \\{V=26}\end{array}[/tex]
Thus, the volume of a cone with the same radius and height of a cylinder is [tex]26 \mathrm{cm}^{3}[/tex].
The volume of the cone is 26 cubic centimeters.
A cylinder has a volume of [tex]78 \;\rm{cm}^3[/tex].
We need to determine the volume of a cone with the same dimensions compared to a cylinder.
Now,
The formula for finding the volume of the cylinder is [tex]\pi r^2h[/tex].
The formula for finding the volume of the cone is [tex]\dfrac{1}{3}\pi r^2h[/tex].
Therefore, the volume of the cylinder is thrice the volume of the cone if we consider the same dimensions.
Thus,
[tex]\begin{aligned} 3 \times \rm{volume\;of\;the\;cone}&=78\;\rm{cm^3}\\&=26\;\rm{cm^3} \end{aligned}[/tex]
Hence, the volume of the cone is 26 cubic centimeters.
To know more about the cone, please refer to the link:
https://brainly.com/question/10670510
How do you solve 9+x/9=7/3
Answer:
-60
Step-by-step explanation:
9+x/9=7/3
x/9=7/3-9
x/9=7/3-27/3
x/9=-20/3
x=(-20/3)(9)
x=-180/3
x=-60
Graph the equation by plotting three
points. If all three are correct, the line
will appear.
-3y = 2x - 7
Answer:
Step-by-step explanation:
there's your graphed line
credits to desmos graphing calculator
Show work please I don’t understand it.
Answer:
2<6
Step-by-step explanation:
2(n+3)-4
(2n + 6)-4
2n + 2
--------(both can be divided by 2)
2 2
n=2
2<6
the second line the the last i believe im not so sure about the graphing but i hope starting you off with 2<6 helps
Picture attached please help!! I don't understand these questions.
Answer:
a, e
Step-by-step explanation:
a. function A has a slope of -2/3. the negative means it goes down. function B is going down on the graph so both functions have neg. rates of change.
b. function A's slope is -2/3. function b has a slope of -1.
c. since both functions slopes aren't the same they are not parallel.
d. 2/3 is a lesser rate of change than 1.
e. looking at the graph, function b is linear. A is linear since the "x" is not squared, cubed, etc.
A triangle has an angle that measures 110°. The other two angles are in a ratio of 2:5. What are the measures of those two angles?
Answer:
20 and 50
Step-by-step explanation:
the angles of a triangle add up to 180 degrees.
so if 1 angle is 110, then the other two angles combined, add up to (180 - 110) = 70.
the other two angles are in a ratio of 2:5....added = 7
meaning 1 angle is 2/7 of total measure and the other angle is 5/7 of the measure
so one angle is : 2/7 of 70 = 2/7 * 70 = 140/7 = 20 <==
and the other one is 5/7 of 70 = 5/7 * 70 = 350/7 = 50 <==
Can someone explain how to do this page I wasn't there when my teacher explained it
Answer:
You have to solve for the letter
Step-by-step explanation:
For example, Q5 is 40 - 5n = -2.
You subtract 40 from -2 and get -42 then you have 5n = -42.You divide 5 to -42 so [tex]\frac{-42}{5}[/tex].The answer is -8.4.*Use a calculator if necessary.*
~Hope this is helps (.^.)~
how to solve u/5+3=1
First subtract 3: u/5 = -2
Now, because u is divided by 5, we can multiply by 5 to get u on its own.
u = -10
To check, -10/5 + 3 = 1
-2 + 3 = 1
1 = 1
This leaves us with a true statement, so the answer is correct.
Sandy is upgrading her Internet service. Fast Internet charges $45 for installation and $49.45 per month.
Quick Internet has free installation but charges $56.95 per month.
Part 1 out of 2
Complete the equation that can be used to find the number of months after which the Internet service
would cost the same. Use the variable x to represent the number of months of Internet service purchased.
The equation is
___+___=___
Answer:
x = 6 months.
The equation is given by $45 + ($49.45 × x) = ($56.95 × x).
Step-by-step explanation:
i) Let x be the number of months of Internet Service purchased till the Fast
Internet charges and Quick Internet charges become the same.
ii) Charges for Fast Internet for x months is given by $45 + ($49.45 × x)
iii) Charges for Quick Internet for x months is given by ($56.95 × x)
iv) According to the first statement we will now equate the equations in ii)
and iii) and solve for x.
Therefore, $45 + ($49.45 × x) = ($56.95 × x)
45 + 49.45 x = 56.95 x
Therefore (56.95 - 49.45) x = 45
7.50 × x = 45
Therefore x = 45 ÷ 7.5 = 6
In 2004, about $38 out of every $100 spent on advertising was spent on television advertising. The amount spent on radio advertising was about 21% as much as was spent on television advertising. How much of every $100 spent on advertising was spent on radio advertising?
Answer:
$8
Step-by-step explanation:
Given: Television advertising= $38 out of every $100 spent on advertising.
Radio advertising= 21% as much as was spent on television ads.
As given there are $38 spent on television ads on every $100 of advertising.
∴ Amount spent on television ads= [tex]\frac{38}{100}[/tex]
Now, finding amount spent on radio advertising on every $100 spent on advertising.
We know, The amount spent on radio advertising was about 21% as much as was spent on television advertising.
∴ Amount spent on radio advertising= [tex]\frac{38}{100} \times \frac{21}{100}[/tex]
⇒ Amount spent on radio advertising= [tex]\$ 0.0798[/tex]
To know the amount spent on radio advertising on every $100 spending on advertising.
Amount spent on Radio advertising on every $100 spending= [tex]0.0798\times 100= \$ 7.98 \approx \$ 8[/tex]
Hence, $8 spent on radio advertising on every $100 spending.
About $7.98 out of every $100 spent on advertising was allocated to radio advertising, based on the information that $38 out of every $100 was used for television advertising and radio advertising accounted for 21% of the television advertising amount.
In 2004, about $38 out of every $100 spent on advertising was spent on television advertising. To find out how much of every $100 was spent on radio advertising, which was about 21% as much as was spent on television advertising, we apply the following calculation:
Amount spent on radio advertising = Television advertising amount × (Radio advertising percentage / 100)
Amount spent on radio advertising = $38 × (21 / 100)
Amount spent on radio advertising = $7.98
Therefore, $7.98 out of every $100 spent on advertising was spent on radio advertising.
Tavon has a gift card for $ 155 that loses $ 3.50 for each 30-day period it is not used. He has another gift card for $ 135 that loses $ 3 for each 30-day period it is not used.
a. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal.
b. What will the value of each card be when they have equal value?
Answer:
A) 40
B) $ 15
Step-by-step explanation:
A)An equation for the number of 30-day periods until the value of the gift cards will be equal
Let x be the number of time periods for which the gift card is not used, then
For the gift card $ 155 if it is not used for x periods, then the amount that will be lost is
155 - 3.50 x---------------------(1)
For the gift card $ 135 if it is not used for x periods, then the amount that will be lost is
135 - 3x---------------------- (2)
Now when both the amount lost is equal
[tex]155 - 3.50x = 135 - 3x[/tex]
solving the equation, we get
[tex]155 -135 = -3x + 3.50x[/tex]
20 = 0.5x
[tex]x = \frac{20}{0.5}[/tex]
x = 40
Thus the value of gift cards will be equal for 40 ,30 day periods.
B)The value of each card be when they have equal value
The two cards will have equal value after 40 30 day periods, this denotes that at this time, the value of each card will be equal.
Then
[tex]155 - 3.50x = 135 - 3x[/tex]
substituting x = 40, we get
[tex]155 - 3.50(40)= 135 - 3(40)[/tex]
[tex]155 - 140= 135 - 120[/tex]
[tex]15 =15[/tex]
when they have equal value, the value of each card will be $15
The sum of two numbers is 15. The first number is half of the second number. What are the two numbers?
Answer:
10 5
Step-by-step explanation:
10 ÷ 2 = 5 and 5 + 10 = 15
Answer:
5 and 10
Step-by-step explanation:
X×Y=15
X=15-Y
X=Y/2
Y/2=15-Y
Add Y to both sides
3Y/2=15
3Y=30
Y=10
X=5
need help! extra points.
Which two angles are alternate interior angles?
Answer:
3 and 2
7 and 6
are the alternate interior angles.
whats the square root of 64
Answer:
The square root of 64 is 8. 8*8=64
Hope this helps,
:)
If the arc length shown in blue is 21.3 inches, then 0 to the nearest hundredth of a
radian is
Answer: [tex]\theta\approx1.78\ rad[/tex]
Step-by-step explanation:
By definition, the Arc lenght can be calculated with the following formula:
[tex]s=r\theta[/tex]
Where "s" is the Arc lenght, "r" is the radius and [tex]\theta[/tex] is the central angle measured in radians.
From that equation you can solve for [tex]\theta[/tex] dividing both sides of the equation by the radius "r", then:
[tex]\frac{s}{r}=\frac{r\theta}{r}\\\\\theta=\frac{s}{r}[/tex]
According to the information given in the exercise:
[tex]s=21.3\ in[/tex]
And you can identify in the figure that the radius of the circle is:
[tex]r=12\ in[/tex]
Therefore, you can substitute values into the equation:
[tex]\theta=\frac{21.3\ in}{12\ in}[/tex]
Finally, evaluating, you get the following result:
[tex]\theta=1.775\ rad[/tex]
Rounded to the nearest hundredth of a radian:
[tex]\theta\approx1.78\ rad[/tex]
A jar contains n nickels and d dimes. There are 24 coins in the jar, and the total value of the coins is $1.90. How many nickels and how many dimes are in the jar?
Answer:14 dimes 10 nickels
Step-by-step explanation:
24 coins total
14 X.10 = 1.40
10 x .05 = .50
1.40 + .50 = 1.90
The sum of twice a number and half the number is 10.
how would i write the equation?
66pts
Hello there i hope you are having a good day :) Your question : The sum of twice a number and half the number is 10.
Answer would be : 2x + x/2 = 10
Hopefully that helps you ❤
Answer:
2x+x/2 = 10
Step-by-step explanation:
x is the unknown value.
2x would be used to represent the unknown value of twice that number.
/2 would be used to represent half the number.
Hope this helps you!
The surface area of a tabletop is 5760 square inches. Which expression shows this number in scirntific notation?
Answer:
Scientific notation = 5.76 x 10³ square inches
Step-by-step explanation:
Standard notation = 5,760 square inches
Scientific notation = 5.76 x 10³ square inches
How do use distributive property for -2.5(4x-8)+1.2(5x-1)
Answer:
Step-by-step explanation:
PLEASE HELP ME
Describe the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z”.
Answer:
the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z” are
i) reflect the the triangle about the x- axis.
ii) shift the result of i) by 1 upwards
iii) shift the result of ii) by 5 to the left
Step-by-step explanation:
the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z” are
i) reflect the the triangle about the x- axis.
ii) shift the result of i) by 1 upwards
iii) shift the result of ii) by 5 to the left
PLEASE HELP ME
Describe the sequence of transformations that maps triangle XYZ onto triangle X”Y”Z”.
Answer:
The sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.
Explanation:
By inspection (watching the figure), you can tell that to transform the triangle XY onto triangle X"Y"Z", you must slide the former 5 units to the left, 1 unit down, and, finally, reflect it across the x-axys.
You can check that analitically
Departing from the triangle: XYZ
Translation 5 units to the left: (x,y) → (x - 5, y) Vertex X: (-6,2) → (-6 - 5, 2) = (-11,2)Vertex Y: (-4, 7) → (-4 - 5, 7) = (-9,7)Vertex Z: (-2, 2) → (-2 -5, 2) = (-7, 2)Translation 1 unit down: (x,y) → (x, y-1)
(-11,2) → (-11, 2 - 1) = (-11, 1)(-9,7) → (-9, 7 - 1) = (-9, 6)(-7, 2) → (-7, 2 - 1) = (-7, 1)Reflextion accross the x-axis: (x,y) → (x, -y)
(-11, 1) → (-11, -1), which are the coordinates of vertex X"(-9, 6) → (-9, -6), which are the coordinates of vertex Y""(-7, 1) → (-7, -1), which are the coordinates of vertex Z"
Thus, in conclusion, it is proved that the sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.
what of the following is not a characteristic of all parallelograms diagonals bisect each other be opposite angles are congruent C diagonals are angle bisectors deep is the sides are congruent
The correct option that is not a characteristic of all parallelograms is C, 'diagonals are angle bisectors,' as it does not apply to every parallelogram, unlike the other options listed.
Explanation:The question is related to the properties of parallelograms, and specifically, it asks which option is not a characteristic of all parallelograms. To answer this, we must review the properties of parallelograms:
Diagonals bisect each other.Opposite angles are congruent.The sides are parallel, but not necessarily congruent.Option A (Diagonals bisect each other) and Option B (Opposite angles are congruent) are indeed true characteristics of parallelograms. However, diagonals being angle bisectors is not a general characteristic of all parallelograms, making it incorrect for Option C. Finally, Option D (The sides are congruent) describes a property specific to a rectangle or a rhombus rather than all parallelograms. Thus the correct answer is C, diagonals are angle bisectors, as it is not a defining feature for all parallelograms. Parallelograms have diverse shapes like rectangles, squares, and rhombi, and this property doesn't apply universally.