Answer:
20; 500
Step-by-step explanation:
1.5 is what percent of 7.5. 7.5 is 5 times 1.5, so 1.5 is 1/5 of 7.5. 1/5=20%. Inversely, 7.5 is 5 times 1.5, 5=500%.
[tex]1 \frac{1}{2} \text{ is } \underline{20\%} \text{ of } 7 \frac{1}{2}[/tex]; [tex]7 \frac{1}{2} \text{ is } \underline{500\%} \text{ of } 1 \frac{1}{2}[/tex]
First, convert the mixed numbers to improper fractions:[tex]1 \frac{1}{2}[/tex] becomes [tex]\frac{3}{2}[/tex].
[tex]7 \frac{1}{2}[/tex] becomes [tex]\frac{15}{2}[/tex].
To determine the percentage, we use the percentage formula:[tex]\text{Percentage} = \frac{\text{part}}{\text{whiole}} \times 100\%[/tex]
Determine what percentage of [tex]1 \frac{1}{2}[/tex] is [tex]7 \frac{1}{2}[/tex]:[tex]\frac{\frac{3}{2}} {\frac{15}{2}} \times 100\% = \frac{3}{15}\times 100\% = \frac{1}{5}\times 100\% = 20\%.[/tex]
Thus,
[tex]1 \frac{1}{2} \text{ is } \underline{20\%} \text{ of } 7 \frac{1}{2}.[/tex]
For the second part, determine what percentage [tex]7\frac{1}{2}[/tex] is of [tex]1 \frac{1}{2}[/tex]:[tex]\frac{\frac{15}{2}} {\frac{3}{2}} \times 100\% = \frac{15}{3}\times 100\% = 5\times 100\% = 500\%.[/tex]
Thus,
[tex]7 \frac{1}{2} \text{ is } \underline{500\%} \text{ of } 1 \frac{1}{2}.[/tex]
Complete question:
fill in the blanks:
[tex]1 \frac{1}{2}[/tex] is ____ % of [tex]7 \frac{1}{2}.[/tex] ; [tex]7 \frac{1}{2}[/tex] is ____ % of [tex]1 \frac{1}{2}.[/tex]
The cake store is having a 25% off sale on all of its cakes.
If the cake you want regularly costs dollar sign $9, how much would you save with the discount?
Answer:
The Discount would save $2.25 of the final purchase.
Step-by-step explanation:
If the cake originally costs $9, 25% of that would be $2.25 off the final purchase. So the discount would save $2.25
Answer:
With the discount, you are saving $2.25 on the cake that you want.
The price of a desktop computer after discount was $1600 if the discount was 20% what was the original price
Answer:$2,000
Step-by-step explanation:
write the fraction or mixed number as a decimal
Answer:
look below
Step-by-step explanation:
To write a fraction or mixed number as a decimal, divide the numerator by the denominator. So, for example, if you had 5/2, then you'd do 5÷2, which gives you 2.5. Hope that helped!
how many 3/4 pound bags of sugar can be filled with 36 lb of sugar?
Answer:
48 bags
Step-by-step explanation:
On the farm, rather than use money, they exchange animals. The exchanges are as follows: 4 bunnies = 3 chickens, 5 chickens = 2 pigs, 3 pigs = 2 donkeys. How many bunnies would you have to trade for a donkey?
We have to trade 5 bunnies for a donkey.
Solution:
To calculate how many bunnies could be exchanged for a donkey, we have to multiply the exchange rates of each animal/bird.
One bunny = 3/4 chickens (0.75 chicken),
One chicken = 2/5 pigs (0.4 pigs)
One pig = 2/3 donkeys (0.67 donkeys).
On multiplying all of the above rates we get,
0.75*0.4*0.67=0.2
Since we now know a bunnies worth is 0.2 donkey
Therefore, (1/0.2=5) 5 bunnies to trade for a donkey.
What integer is closest to 31/7
Answer:
31/7 = 4 3/7.....3/7 is less then 1/2....so the closest integer is 4
Step-by-step explanation:
Please mark me brainlist if this helped
At constant temperature, the pressure of a sample of gas is inversely proportional to its volume. I have some oxygen in a 2.28 liter container with a pressure of 5 kPa. If I move all of it to a 5.7 liter container at the same temperature, what will the new pressure be in kPa?
The new pressure is 2 Kpa
Solution:
At constant temperature, the pressure of a sample of gas is inversely proportional to its volume
Therefore,
[tex]\text{ pressure of a sample of gas} \propto \frac{1}{\text{volume}}[/tex]
Let "p" be the pressure of sample gas
Let "v" be the volume
Then we get,
[tex]p \propto \frac{1}{v}\\\\p = k \times \frac{1}{v}\\\\p = \frac{k}{v} ---------- eqn 1[/tex]
Where, "k" is the constant of proportionality
I have some oxygen in a 2.28 liter container with a pressure of 5 kPa
Substitute v = 2.28 and p = 5 in eqn 1
[tex]5 = \frac{k}{2.28}\\\\k = 5 \times 2.28\\\\k = 11.4[/tex]
I move all of it to a 5.7 liter container at the same temperature
Substitute k = 11.4 and v = 5.7 in eqn 1
[tex]p = \frac{11.4}{5.7}\\\\p = 2[/tex]
Thus new pressure is 2 kPa
HELP NOW!!! 20 POINTS AND URGENTLY NEEDED!!!!!!!!!!!!!!
Solve the system of equations.
2x+7y=3
x=-4y
x= _____
y= _____
So basically here is the answer mate!
2x + 7y = 3-------------------------(substitute x's value here, i.e., x = -4y)
2( -4y ) + 7y = 3
-8y + 7y = 3
-1y = 3
y = -3------------------------( 1 )
Since x = -4y
= -4 ( -3 ) --------------------------( since we found the value of y)
= 12
Here is the answer for x = 12 , y = -3
Mark my anwer as the brainliest please ! :)
115:125 to simplest fraction
Answer:
23/25
Step-by-step explanation:
Just figure out what goes in both of these numbers and i think of it as making a Fraction getting skinny so I simplify until I can't get any Skinner, and as I reduced I got 23/25 or 0.92.
I hope this help, This is just how to think about it you should try it, it really helps me!
Bag a contains 7x counters
bag b contains 2x counters
Five counters are taken from bag a and put in bag b
To find the new number of counters in each bag, subtract 5 from bag a and add 5 to bag b.
Explanation:The subject of this question is mathematics. In this question, we are given two bags, bag a and bag b, which contain 7x and 2x counters respectively. Five counters are taken from bag a and put in bag b.
To find the new number of counters in each bag, we subtract 5 from bag a and add 5 to bag b:
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Which of the following terms can be combined in this expression? -13 - x/5 + 6.2y + 20.5x - 3/8y
A. -13 can be combined with 20.5.
B. 6.2y can be combined with 20.5.
C. 6.2y can be combined with -3/8y.
D. -x/5 can be combined with -3/8y.
Answer:
C. 6.2y can be combined with -3/8y.
Step-by-step explanation:
6.2y can be combined with -3/8y because both numbers have the same variable x. All of the other choices have different variable that are not like terms.
BRAINLIEST!!
8. Lines s, t, and u are perpendicular bisectors of the sides of FGH and meet ...
Answer:
(x, y, z) = (4, 6, 7)
Step-by-step explanation:
The problem is inconsistent and cannot be solved.
The only answer that makes any sense is the first one. Point J is the circumcenter, so the radii are equal, meaning 2x+2=2y-2 or y = x+2. Only the first answer matches.
The drawing shows FI=10, which is the only way z = 7 makes sense, but the wording says JF=10, which agrees with (x, y) = (4, 6). Both those segments cannot be 10.
Write an equation of the line that passed through (7,10) and is perpendicular to the line y=1/2x-9
The equation of the line perpendicular to y=1/2x-9 passing through the point (7,10) is y=-2x+24.
Explanation:To find the equation of a line that is perpendicular to another line, we need to determine the slope of the given line and use the negative reciprocal of that slope for our new line. The line given is y = ½x - 9, so the slope (m) is ½. The slope of the perpendicular line will be the negative reciprocal of ½, which is -2.
The next step is to use the point given, (7,10), and the slope of the perpendicular line to write the equation in point-slope form, which is y - y1 = m(x - x1). Plugging in our values we get: y - 10 = -2(x - 7).
Finally, we can rearrange this into slope-intercept form, y = mx + b, by simplifying and solving for y:
Therefore, the equation of the line perpendicular to y = ½x - 9 that passes through the point (7,10) is y = -2x + 24.
Carla packed this box with 1 centimeter cubes what is the volume of the box
Answer: [tex]60\ cm^3[/tex]
Step-by-step explanation:
The complete exercise is attached.You can observe in the picture attached that the box is a rectangular prism.
The volume of a rectangular prism can be found with this formula:
[tex]V=lwh[/tex]
Where "l" is the length, "w" is the width and "h" is the height.
You know that the lenght of each side of those cubes is 1 centimeter. Therefore, you can multiply the number of cubes on each side of the box by 1 centimeter in order to find the lenght, the width and the height of the box:
[tex]l=(4)(1\ cm)=4\ cm\\\\w=(3)(1\ cm)=3\ cm\\\\h=(5)(1\ cm)=5\ cm[/tex]
Now you can substitute the lenght, the width and the height of the box into the formula shown at the beginning of the explanation:
[tex]V=(4\ cm)(3\ cm)(5\ cm)[/tex]
Finally, evaluating, you get that the volume of the box is:
[tex]V=60\ cm^3[/tex]
You're trying to enlarge an image that is 4 centimeters tall and 10 centimeters wide onto a billboard that is 3 meters tall and 8 meters wide. What is the height scale?
The height scale is 75
Solution:
Given that, you are trying to enlarge an image that is 4 centimeters tall and 10 centimeters wide onto a billboard that is 3 meters tall and 8 meters wide
In this problem, we have:
Height of enlarged image = 3 m
Height of original image = 4 centimeter
We have to find the height scale
Convert 4 cm to meter
Use the following conversion factor
1 cm = 0.01 m
Therefore,
4 cm = 0.04 m
Thus, we have got,
Height of original image = 0.04 m
Height of enlarged image = 3 m
Therefore, the height scale is given by the following ratio:
[tex]Height\ scale = \frac{\text{height of enlarged height}}{\text{height of original image}}[/tex]
[tex]Height\ scale = \frac{3}{0.04} = 75[/tex]
So, the height scale is 75
Answer:
75cm
Step-by-step explanation:
i got the question right
evaluate 3.6/ x for x =2
Answer:
1.8
Step-by-step explanation:
3.6/ x for x =2
3.6/2 = 1.8
Answer:
1.8
Step-by-step explanation:
3.6/ x when x= 2
Therefore, substitute the value of x.
Just divide through by 2
3.6/ 2 is 1.8
The digital price of a skateboard was $63.99. The owner of the store marked it 15% off. Calculate the discount and sale price.
Answer:54.3915
Step-by-step explanation:
Price:63.99
Off:15%
Price after 15% off:
{63.99*(100-15)}/100
={63.99*85}/100
=5439.15/100
=54.3915
Yung’s taxable income is $36,558. He is filing as head of household, and he has already paid $4802 in federal taxes. What will he receive or pay after he figures his taxes for the year?
Answer:
He will pay $64
Step-by-step explanation:
Using the attached image, for the head of household earning $36,558, he's bound to pay $4,866 considering that his age bracket is in the last line of the image ($36,550-$36,600). However, since he has already paid $4,802 then he hasn't paid it all. He remains with a balance of $4,866-$4,802=$64
Therefore, he's supposed to pay additional $64
order from least to greatest 5 3/7 , 5.48, 5.042
Answer:
Step-by-step explanation:
5 3/7 = 5.429
5.48
5.042
least to greatest is : 5.042, 5 3/7, 5.48
A play was attended by 984 persons. 75% of them were adults how many adults attend
Answer:
738
Step-by-step explanation:
984 ÷ 100 = 9.84
9.84 × 75 = 738
75/100
John has 12 pounds of dog food he is going to separate it into 3/4 pounds portions
Answer: 1
Step-by-step explanation:
i think u just have to divide
What's the percent change from 52 million to 35 million?
There is 32.69% decrease.
Step-by-step explanation:
Given,
Old value = 52 million
New value = 35 million
Change = New value - Old value
Change = 35 - 52 = -17
The negative sign indicates the decrease.
Percent decrease = [tex]\frac{Change}{Old\ value}*100[/tex]
Percent decrease = [tex]\frac{17}{52}*100[/tex]
Percent decrease = [tex]\frac{1700}{52}\\[/tex]
Percent decrease = 32.69%
There is 32.69% decrease.
Keywords: percentage, division
Learn more about division at:
brainly.com/question/11203617brainly.com/question/11253316#LearnwithBrainly
Which equation is modeled below?
A. -2x+3=4x+2
B. -2x+3=x+4
C. 3x+2=2x+4
D. 3x+(-2)=2x+4
Answer:
D. 3x+(-2)=2x+4
Step-by-step explanation:
There is 2 red cubes of -1 so it has to be in parentheses, not combined like letter C.
prove equal chord of a circle subtends equal angle at centre
Answer:
The Proof for "Equal chord of a circle subtends equal angle at the Center".
Step-by-step explanation:
Consider a Circle with center as C,
Radius AC ,BC ,DC and EC
Chord AB = Chord CD
To Prove:
"Equal chord of a circle subtends equal angle at center".
i.e ∠ACB = ∠ECD
Proof:
In Δ ABC and Δ DEC
Chord AB ≅ Chord DE .….{Given}
AC ≅ DC …..{Radius of Same Circle}
BC ≅ EC ….{Radius of Same Circle}
Δ ABC ≅ Δ DEC ….{By Side-Side-Side Congruence Postulate}
∴∠ACB ≅ ∠ECD ...{Corresponding Parts of Congruent Triangles are Congruent or CPCTC} ....Proved
i.e Equal chord of a circle subtends equal angle at the Center.
if a pentagon has a total interior angle measure of the 540-degree ad there are 5 congruent angles find the measure of one of the interior angles
Answer:
Step-by-step explanation:
interior angle = sum of interior angles/total no. of angles
= 540/5 = 108
Jenny esta en el equipo de natación por el verano y su practica es de 4 horas por dia de la semana. El horario es el mismo es el mismo cada día. El equipo nada en la mañana y otra vez por la tarde 2 horas. Si ella nada 12 horas por semana cuanto nada cada mañana
Answer:
Jenny spent 1 hour swimming in the morning.
Jenny pasó 1 hora nadando por la mañana.
Step-by-step explanation:
Translated:
Jenny is on the summer swimming team and her practice is 4 hours per day, in a week. The schedule is the same every day. The team swims in the morning and again in the afternoon 2 hours. If she swims 12 hours a week, how much does she swim every morning?
We know that she swims 4 hours per day, mornings and evenings.
We know that one specific week she swam for 12 hours total in that week.
Let as denote the number of hours swam in a day as [tex]x[/tex].
Then we can say that in that week for 12 hours total and 4 hours swimming per day, we have:
[tex]4x=12\\x=\frac{12}{4}\\x=3[/tex]hours per day swam for that week.
Now since we know for a fact that 2 hours are spend swimming in the evening then we can subtract this from the total of 3 hours as
[tex]3-2=1[/tex] hour of swimming in the morning.
So we can conclude that on the week that Jenny swam for 12 hours total, she spent 1 hour swimming in the morning and 2 hours swimming in the evening.
En Espagnol:
Entonces podemos concluir que la semana en que Jenny nadó durante 12 horas en total, pasó 1 hora nadando por la mañana y 2 horas nadando por la noche
PLZ I NEED HELP! 20 points brainleist
Select the equation that has NO solution.
A.
3(2x + 7) = 6(x + 4) – 3
B.
3(6x – 5) = 3(6x – 5) + x
C.
8(x – 3) + 14 = 2(4x + 5)
D.
13x – 7 = 12(x – 1) + x + 5
Answer:
I believe it is C because it comes out to 8x-10=8x+10
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
A has infinite solution
B has one solution
C has no solution
D has infinite solution
A 7-foot by 3-foot doorway is cut into the 23 by 22 foot trapezoid wall. What is the area of the wall without the door way?
Answer:
Area of the wall without the doorway = 67.5 - 21 = 46.5 [tex]feet^{2}[/tex]
Step-by-step explanation:
i) let length of smaller side of trapezoidal wall, a = 22 feet
ii) let length of longer side of trapezoidal wall, b = 23 feet
iii) height of trapezoidal wall, h = 3 feet
iv) area of trapezoidal wall = [tex](\frac{a + b}{2} )\times h[/tex] = [tex](\frac{22 + 23}{2} )\times 3[/tex] = 22.5 [tex]\times[/tex] 3 = 67.5 [tex]feet^{2}[/tex]
v) area of door = 7 [tex]\times[/tex] 3 = 21 [tex]feet^{2}[/tex]
vi) Area of the wall without the doorway = 67.5 - 21 = 46.5 [tex]feet^{2}[/tex]
Solving a right triangle (ROUND TO THE NEAREST TENTH)
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for B
B = 180° - (90 + 40)° = 180° - 130° = 150°
--------------------------------------------------------------
sin40° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{21}[/tex]
Multiply both sides by 21
21 × sin40° = a, thus
a ≈ 13.5 ( to the nearest tenth )
--------------------------------------------------------------
cos40° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{21}[/tex]
Multiply both sides by 21
21 × cos40° = b, thus
b ≈ 16.1 ( to the nearest tenth )
Find the product of 3/8 and 4/5.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{3}{8}\times\dfrac{4}{5}}\\\\\\\mathsf{= \dfrac{3\times4}{8\times5}}\\\\\\\mathsf{= \dfrac{12}{40}}\\\\\\\mathsf{= \dfrac{12\div4}{40\div4}}\\\\\\\mathsf{= \dfrac{3}{10}}\\\\\\\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{\dfrac{3}{10}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]