There are two numbers. The smaller number is 32 less than the larger number. If the larger number is increased by 10, it will be 4 times that of the smaller number. Find the larger number.
Step-by-step explanation:
Let the larger no be = a
Difference of the numbers = a - 32
As per the question;
(a + 32) = 5(a - 32)
⇒ a + 32 = 5a - 160
⇒ 128 = 4a
⇒ a = 32
∴ The larger no is 32.
7)
20 cm
12 cm
14 cm
Find the area of the gray shaded region in the figure.
A)
84 cm?
B)
112 cm?
196 cm
行
Ε
D)
280 cm?
Answer:
where is the figure
pls send it
please help i'm asking to help the second time hope someone sees this I'll give 10 points and brainliest I promise
2. i) 1/2 × x
x/2
ii) 1/5 × x
x/5
iii)1-(1/2+1/5)
1- (5/10+2/10)
10/10- 7/10
3/10
3/10×x
3x/10
3. i)15× $p
15p
ii) cost for 4 bananas= $g
cost for 1 banana = $g÷4
cost for 16 bananas = $g/4 ×16
=$g×4
=4g
iii)
Cost for an orange= $p
Cost for 5 oranges = 5×$p
Cost for 1 banana= $g÷4
Cost for 2 bananas = 2× ($g÷4)
Add both of the expressions to get the total cost for 2 bananas and 5 oranges.
(2×$g÷4)+(5×$p)
($g×2/4)+(5×$p)
2/4 can be simplified as 1/2
g×1/2+5p
(g/2)+5p
Hope this helps!
please answer and use statement reason
Answer:
x = 15
Step-by-step explanation:
FD and AC are parallel because both are perpendicular to EB. Angle EDF and Angle DCA are congruent because they are corresponding angles. The measure of Angle DCA is also 3x because congruent angles have the same measure.
Now consider Triangle ACD. Because the sum of all three measures of the angles in a triangle add up to 180°.
x + 8x + 3x = 180°
12x = 180°
12x/12 = 180/12
x = 15
What number (X) comes next in the series (17, 9, 18, 7, 19, 5, 20, X)
3
4
16
21
23
Answer:
17, 9, 18, 7, 19, 5, 20, X
Bold: 17, 18, 19, 20, .....
Other: 9, 7, 5, 3, 1 ....
I think the answer is 3
By finding the pattern, we conclude that the next number in the sequence is 3.
What number comes next in the series?
We have the sequence:
17, 9, 18, 7, 19, 5, 20, x.
Here the pattern is kinda simple.
First, we have a two-digit number which increases by one unit (on the odd positions). Then we have a single-digit number that decreases by two (on the even positions).
Then we will have:
x = 5 - 2 = 3
We conclude that the next number in the sequence is 3, we get:
17, 9, 18, 7, 19, 5, 20, 3.
If you want to learn more about sequences:
https://brainly.com/question/6561461
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4 3/5 - 4/5 = ?
please explain it
ixl
Answer:
[tex] \frac{19}{3 } \: or \: 3 \frac{4}{5} [/tex]
Step-by-step explanation:
Change the mixed number into a regular fraction.
[tex] \frac{23}{5} - \frac{4}{5} [/tex]
Subtract the numerator.
[tex] \frac{19}{5} [/tex]
As a mixed number:
[tex]3 \frac{4}{5} [/tex]
A high-altitude spherical weather balloon expands as it rises due to the drop in atmospheric pressure. Suppose that the radius r increases at the rate of 0.03 inches per second and that r=48 inches at time t=0. Determine a function that models the volume V of the balloon at time t and find the volume at t=300 seconds.
Considering a linear function for the radius, we have that:
The volume of the sphere is modeled by [tex]V(t) = \frac{4\pi(0.03t + 48)^3}{3}[/tex].After 300 seconds, it is of 775,735 in³.What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value.What is the volume of a sphere?The volume of a sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
In this problem, radius r increases at the rate of 0.03 inches per second and that r=48, hence it is represented by the following linear function:
[tex]r(t) = 0.03t + 48[/tex]
Thus, the volume of the sphere is given by:
[tex]V = \frac{4\pi r(t)^3}{3}[/tex]
[tex]V(t) = \frac{4\pi(0.03t + 48)^3}{3}[/tex]
After 300 seconds, the volume in cubic inches is given by:
[tex]V(300) = \frac{4\pi(0.03(300) + 48)^3}{3} = 775735[/tex]
More can be learned about linear functions at https://brainly.com/question/24808124
The length of the base of an isosceles triangle is x. The length of a leg is 2x - 2. The perimeter of the triangle is 71. Find
Answer:
x = 15
Step-by-step explanation:
x + 2x - 2 + 2x - 2 = 71
Solve for x, you get 15.
Match each word with the correct part of the expression.
5x + 12
coefficient
5x + 12
variable
5x + 12
term
5x + 12
constant
Expression: 5x + 12
Coefficients (The number directly next to the variable): 5
Variable (A letter that stands for a unknown number): x
Term (A single mathematical expression): 5x , 12
Constant (A term that has no attached variables): 12
Answer:
Step-by-step explanation:
f(x) = 2 + 3x – 2x²
Determine a, b and c
Answer:
a = -2
b =3
c =2
Step-by-step explanation:
f(x) = 2 + 3x – 2x²
Rewrite in descending powers of x
-2x^2 +3x+2
The form is ax^2 +bx +c
a = -2
b =3
c =2
can someone help me with this math problem please
Answer: A (-7,-4)
Step-by-step explanation:
Took the same test
write 14,689 in word form what is the answer like identify the thousand group and the ones group
Answer:
fourteen thousand six hundred and eighty nine
Step-by-step explanation:
1 is in the ten thousand group, four is in the thousands, six is in the hundreds, eight is in the tens, nine is in the ones. i hope this helped :)
Answer:
Fourteen-thousand and six-hundred eighty nine.
Nine people were asked, "How many times have you been on an airplane?" Their responses are listed below. 6,9,1,19,1,6,8,1 find the range and the mode for the data
pleaseeee helpppp
Step-by-step explanation: Range is where you put the numbers from greatest to least, I believe you can also do least to greatest. Mode is whenever you have your numbers in order form greatest to least the number that shows up the most is the mode. HOPE THIS HELPED !!!
170 What is the mZBAC?
Answer:
m<BAC = 85°
Step-by-step explanation:
The measure of an inscribed angle is half the measure of its intercepted arc.
m<BAC = 170°/2
m<BAC = 85°
How do you solve this problem?
Answer:
16 triangles I am pretty sure.
Step-by-step explanation:
please help: perimeter of polygon ABCDEF
Answer:
Step-by-step explanation:
A card is drawn at random from a standard deck of playing cards (no jokers). If the card is a spade, the player wins $7; if it is not a spade, the player loses $1.
What is the expected value of this game? $________________
The expected value of the game is the mean value of the game
The expected value of the game is $1
How to determine the expected value?There are 13 spades in a deck of card of 52
So, the probability of selecting a spade is:
P(Spade) = 13/52
Simplify
P(Spade) = 1/4
Winning = $7
The probability of not selecting a spade is:
P(Not spade) = 1 - 1/4
Simplify
P(Not spade) = 3/4
Lose = $1
The expected value of the game is:
[tex]E(x) = \sum x * P(x)[/tex]
This gives
[tex]E(x) = \frac 14 * 7 - 1 * \frac34[/tex]
Simplify
[tex]E(x) = \frac 74 - \frac34[/tex]
Evaluate
[tex]E(x) = 1[/tex]
Hence, the expected value of the game is $1
Read more about expected values at:
https://brainly.com/question/15858152
. Find the angle between the given vectors to the nearest tenth of a degree. u = <2, -4>, v = <3, -8> (2 points)
Answer:
6.0
Step-by-step explanation:
practice many times
find the e measure of the missing angle. round to 2 decimal places
Answer:
theta= 1.085
Step-by-step explanation:
3. The object has the shape of a rectangular prism, but part of a face is missing.
Find the surface area of the object and show your work.
a)
Find the surface area of the complete prism.
5 cm
30 cm
20 cm
10 cm
15 cm
I need an answer
A dinner plate has a circumference of 113.04 cm. What is the area of the dinner plate? (Use 3.14 for .)
A.
226.08 cm2
B.
2,034.72 cm2
C.
1,017.36 cm2
D.
56.52 cm2
option C
hope it helps...!!!
Answer:
[tex]\fbox{Area = 1017.36 sq.cm.}[/tex]
Step-by-step explanation:
Given:
circumference of circular dinner plate= 113.04 cm
To find:
Area of dinner plate = ?
Solution:
circumference = 113.04 cm.
we know that circumference = 2πr
[tex]2 \pi r = 113.04 \: cm \\ r = \frac{113.04 }{2 \pi} \\ r = \frac{113.04 }{2 \times 3.14} \\r = \frac{113.04 }{6.28} \\ \fbox{r = 18 \: cm}[/tex]
We know that,
Area of circle = πr²
now substituting value of r in above formula,
[tex] \pi {r}^{2} = 3.14 \times 18 \times 18 = 1017.36 \: {cm}^{2} [/tex]
[tex] \fbox{Area = 1017.36 sq.cm.}[/tex]
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1350 + 238
Richard and Teo have a combined
age of 23. Richard is 2 years older than twice Teo's age. How old are Richard and
Teo?
Answer:
Richard= 16 years old
Teo= 7 years old
Step-by-step explanation:
Let Richard's and Teo's age be R and T years old respectively.
[tex]\textcolor{steelblue}{\text{Form 2 equations based on given information:}}[/tex]
R +T= 23 -----(1)
R= 2T +2 -----(2)
[tex]\textcolor{steelblue}{\text{Solving by substitution:}}[/tex]
Substitute (2) into (1):
(2T +2) +T= 23
3T +2= 23
3T= 23 -2
3T= 21
T= 21 ÷3
T= 7
Substitute T= 7 into (2):
R= 2(7) +2
R= 14 +2
R= 16
Thus, Richard is 16 years old and Teo is 7 years old.
Knowledge Check Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 4.5 ft to 2 ft
Answer:
Step-by-step explanation:
4.5 ÷ 2
[tex]\frac{9}{2}[/tex] ÷ 2
[tex]\frac{9}{2} * \frac{1}{2}[/tex]
9 / 4
Rewrite the fraction in the sentence below as a percentage. At a certain wedding, 1/10 of the guests were over 60 years old.
Answer:
10%
Step-by-step explanation:
1/10 = 10%
Kim is 15 years old. Her father is 4 times as old as her now. In how many years time their total age be 115 years.
Answer:
20 years time
Step-by-step explanation:
y by the power of 2 + 4=20
Answer:
y is equal to 4 if that's what ur asking for
Answer:
16 if ur asking for y^2+4=20
Step-by-step explanation:
Cool scoops ice cream shop offers 60 different one topping sundaes. If there are different flavors of ice cream toppings and containers to hold the ice cream which of the following would not be the possible number of each category?
Answer:
I'm so confused. I don't get the question. I know the options are:
A) 3,4, 5
B) 2, 10, 4
C) 2, 10, 3
D) 2, 15, 2
but I don't understand the question. Could you maybe be a bit more specific?
Ron has a co-op in the Astor Cooperative development. There are 40,000 shares in the cooperative ownership. If Ron owns 500 shares, what percentage of the cooperative corporation does he own?
Answer:
Ron owns 1.25% of shares.
Step-by-step explanation:
400/50000 comes out to 0.0125 which can be converted into a decimal by moving the decimal two places to the right.
How do I do this this folks?
for the answer most likey it would be from the range of 88 to 66 that would make a little sence corecct me if im wrong
Step-by-step explanation: