One number = x
Other number = 9 + x
Sum of the numbers = 35
Value of the smaller number (x) = ?
[tex]9 + x + x = 35 \\ 9 + 2x = 35 \\ 2x = 35 - 9 \\ 2x = 26 \\ x = \frac{26}{2} \\ x = 13[/tex]
➟ The value of the smaller number is 13Answer:
The value of the smaller number would be 13.
Step-by-step explanation:
There are two numbers, one that is greater by 9 than the other. In order to find the values of the two numbers, set the smallest number as the variable [tex]x[/tex], you will now get the two numbers [tex]x[/tex] and [tex]x + 9[/tex] (This represents the second number that is greater than the first number by 9). Since these two values add up to 35, you can now make the equation [tex]x + (x+9)=35[/tex]. The steps to solve the equation will be the following: [tex]x + (x+9)=35[/tex] ⇒ [tex]x + x + 9 = 35[/tex] ⇒ [tex]2x+9=35[/tex] ⇒ [tex]2x = 26[/tex] ⇒ [tex]x=13[/tex]. Since the variable [tex]x[/tex] was originally set to represent the smaller number out of the two, that means the value of the smaller number would be 13.
onvert the unit of weight. Enter your answer in the box.
3/4 lb =
oz
Answer:
3/4 ib = 12 oz
Step-by-step explanation:
which expression is equivalent to -1/4 (20z + 24)
Answer:
19,2049.12
Step-by-step explanation:
By
how many times bigger is 9x10^7 than 3x10^-2
Answer:
3×10^9
Step-by-step explanation:
0.03x=90,000,000
x=90000000/0.03
x=3×10^9
plz mark as brainliest
What statement best supports the box plots
Answer: kko
Step-by-step explanation iook
Don't stress anymore I'm here to help in online mathematics classes I have a doctorate degree in maths
Then I'll definitely will ask you questions about maths :)
Please help me with my homework.
Here is the question. I hope you would help me, I really need answer asap. I need to pass it by 8:30. pls help me
Which angle is an obtuse angle?
A. An angle measuring 125°
B. An angle measuring 85°
C. An angle measuring 265°
D. An angle measuring 325°
Answer:
A. An angle measuring 125°
Step-by-step explanation:
An obtuse angle is a type of angle that is always larger than 90° but less than 180°. In other words, it lies between 90° and 180°
What was the concentration of the drug 4 hour(s) after injection?
Answer:
it's 47÷4=11 3/4 will be your final answer
Helpppppppp me plzzzzzzz
Answer:
90 seconds
Step-by-step explanation:
To find the time it takes to take a certain amount of steps, divide the given rate by the time.
3/2 = 1.5
This means she takes 1.5 steps every second. Now, we can multiply this rate by 60 to find how far she will go in that time.
1.5 · 60 = 90
Bethany takes 90 steps in 60 seconds.
I hope this helps ^^ Good luck
Based on Milton Friedman's observations, it is likely that he would agree that socialism provides the best government for which a free market can exist.
Please select the best answer from the choices provided
T
F
Answer:
False
Step-by-step explanation:
I did the E2020 assignment
Find the inverse of f(x) = -2x+5
The inverse is g(x) =
Graph the function and its inverse
Given:
The function is:
[tex]f(x)=-2x+5[/tex]
To find:
The inverse of the given function, then draw the graphs of function and its inverse.
Solution:
We have,
[tex]f(x)=-2x+5[/tex]
Step 1: Substitute [tex]f(x)=y[/tex] .
[tex]y=-2x+5[/tex]
Step 2: Interchange x and y.
[tex]x=-2y+5[/tex]
Step 3: Isolate variable y.
[tex]2y=5-x[/tex]
[tex]y=\dfrac{5-x}{2}[/tex]
Step 4: Substitute [tex]y=f^{-1}(x)[/tex].
[tex]f^{-1}(x)=\dfrac{5-x}{2}[/tex]
Therefore, the inverse of the given function is [tex]f^{-1}(x)=\dfrac{5-x}{2}[/tex] and the graphs of these functions are shown below.
Note: The inverse function is [tex]f^{-1}(x)=g(x)[/tex].
Can anyone please help!!!!
QUESTION ATTACHED TO PICTURE
Answer:
[tex]D) y=-\frac{2}{3}x+ 2[/tex]
Step-by-step explanation:
[tex]Equation ~ of ~ the ~ line~ is ~ y=mx+b\\\\m= slope\\\\b=y-intercept[/tex]
[tex]to ~find ~ the ~ slope~ use ~ formula:-\\\\ slope=\frac{y_{2}-yx_{1} }{x_{2} -x_{1} } \\(0,2)(3,0)[/tex]
[tex]slope=\frac{0-2}{3-0}[/tex]
[tex]y-intercept ~ is (0,2) ~ so, b=2[/tex]
[tex]The ~ equation ~ of ~ the ~ line~ is:- \\[/tex]
[tex]y=-\frac{2}{3}x+2[/tex]
------------------------
hope it helps...
have a great day!!
Please help me thank u
Answer:
done
Step-by-step explanation:
Answer:
5/10k - 3/5
Step-by-step explanation:
by fraction we know about LCM
2/5k + 1/10k - 3/5
5/10k-3/5
A circle has a diameter of 6 meters. Which statement about the circumference and area is true?
Answer:
Circumference is equal 6 pi and area is equal 9pi
Step-by-step explanation:
5 and 1/4 - 4 and 1/2
Step-by-step explanation:
answer: 3/4 or 0.75
=5 1/4 - 4 1/2
=21/4 - 9/2
= (21-9) / 4
=3/4 or 0.75
The sample space of picking a 2
character password using the letters Y, P, GR,
B, O, where double letters are not allowed is
shown. Your teacher asks the class to find the
probability of choosing a password with
one Y and one P. Carlos incorrectly says that
the probability is 15. Find the correct probability
then decide which error Carlos might have
made
Answer:
[tex]Pr = \frac{1}{15}[/tex]
Step-by-step explanation:
Given
See attachment for sample space
Required
[tex]P(1\ Y\ and\ 1\ P)[/tex]
From the attached sample space, we have:
[tex]n(S) =30[/tex] ---- total outcomes
[tex]n(PY) = 2[/tex] --- outcomes with 1 Y and 1 P = 2 i.e. (P,Y) and (Y,P)
So, the required probability is:
[tex]Pr = \frac{n(PY)}{n(S)}[/tex]
[tex]Pr = \frac{2}{30}[/tex]
[tex]Pr = \frac{1}{15}[/tex]
The error is that; Carlos omitted the numerator
Help with this, please!!!
Answer:
Its a Parallelogram
It has all four descriptions.
George bought 8 shirts for 48$. How many shirts he can buy for 60$ ?
Answer: 10 shirts
Step-by-step explanation: 8 shirts is $48, then 1 shirt is $6. $60 can buy 10 shirts.
Answer: 10
Step-by-step explanation:
48÷8 = 6
60÷6=10
Hope that helped! :)
A.Solve for x. Then, using that information, find the measure of
B.Solve for y. Then, using that information, find the measure of FE and AB.
Answer:
See answers below
Step-by-step explanation:
Since both trinagles asre similar hence the ratio of the similar sides are equal.
From both triangles;
y + 7 = 3y - 7
y - 3y = -7-7
-2y = -14
y = 14/2
y = 7
FE = 3y - 17
FE = 3(7) - 17
FE = 21 - 17
FE = 4
AB = y'+7
AB = 7 + 7
AB = 14
Similarly
3x+20 = 5x - 80
3x -5x = -80-20
-2x = -100
x = 100/2
x = 50
<A = 3x + 20
<A = 3(50) + 20
<A = 150 + 20
<A = 170degrees
Hence x= 50 and y = 7
Students were polled regarding their favorite sport. The results are shown in the bar graph. Create a circle graph from the data in the bar graph.
Step-by-step explanation:
basketball = 40 %
football = 30 %
baseball = 20 %
soccer = 10 %
explain why a3*a2 dosnt equal a6... Plz I need help!
Answer: a^3 · a^2 ≠ a^6 as the laws of exponents states that the multiplication rule for two exponents with the same bases equates to addition, so that a^3 · a^2 = a^3+2 = a^5.
please help me with this. will give brainliest due in 5 minutes
Answer:
Closest I can get is A
Step-by-step explanation:
What is the area of this quadrilateral?
2 ft
4 ft
6 ft
6 ft
4 ft
2 ft
A. 28 square feet
0
B. 48 square feet
a o
C. 18 square feet
D. 36 square feet
Answer:
the answer would be a
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
just got it correct
find the vertex and the x- and y- intercept of the following quadratic equations
y = 5x² +15x+10
Mei and Alberto are selling cookie dough. Mei sold 11 packages of chocolate chip and 12 packages of gingerbread for a total of $352. Alberto sold 10 packages of chocolate chip and 8 packages of gingerbread for a total of $270. What is the price of a package of chocolate chip and the price of a package of gingerbread?
Answer:
The price of a package of chocolate chip is $13.25
The price of a package of gingerbread is $17.18
Step-by-step explanation:
11x + 12y = 352
10x +8y = 270
Let "x" be the price of a package of chocolate chip.
Let "y" be the price of a package of gingerbread.
11x + 12y = 352(Multiply the 1st row by 10)
10x +8y = 270 (Multiply the 2nd row by 11)
-------------------
110x + 120y = 3520
110x +88y = 2970
--------------------------
3y = 550
y =550/3
y = 17.1875
The price of a package of gingerbread "y" is $17.18
Let's pick the first equation "110x + 120y = 3520"
110x + 120y = 3520
110x+ 120(17.1875)= 3520
110x+2062.5=3520
110x=3520−2062.5
110x=1457.5
x= 1457.5/110
x=13.25
The price of a package of chocolate chip is $13.25
Find the value of (6^0 − 7^0) × (6^0 + 7^0)
Answer:
-13
Step-by-step explanation:
6-7 x 6+7
-1 x 13
-13
How much would you need to deposit into an account that pays 6.5% interest compounded semiannually to have $10,000 after 7 years?
Answer:
6390.56
Step-by-step explanation:
[tex]AV=PV(1+\frac{i}{n})^{nt}\\10000=x(1+\frac{.065}{2})^{7*2}\\10000=1.564807232*x\\6390.53=x[/tex]
9514 1404 393
Answer:
$6490.57
Step-by-step explanation:
The future value is given by the compound interest formula ...
A = P(1 +r/n)^(nt)
Principal P earns annual rate r compounded n times per year for t years.
Filling in the given values, we have ...
10000 = P(1 +0.065/2)^(2·7) = P(1.0325^14)
P = 10000/1.0325^14 ≈ 6390.5635
You would need to deposit $6390.57 into the account to have $10,000 in 7 years.
_____
Additional comment
Using the rounded-down result of the computation will result in a value after 7 years of $9,999.99, not quite $10,000. Rounding the computed value up to $6390.57 ensures the account balance will actually be $10,000.00 after 7 years.
If the balance is rounded to the nearest penny each time interest is added, then the balance after 7 years will be exactly $10,000.00. If there is no intermediate rounding, the resulting balance will be $10,000.01.
Most of the time, the answer key doesn't pay attention to details like this. Your expected answer may be $6390.56, or $6391 if rounded to dollars.
A party planner bought 30 meters of ribbon to make bows. She uses 20 centimeters of ribbon to make 1 bow. What is the total number of bows the party planner can make with 30 meters of ribbon?
A. 15
B. 150
C. 1,500
D. 15,000
Answer:
B. 150
Step-by-step explanation:
1 meter = 100 centimeters
since there is 30 meters x 100 centimeters = 3000 centimeters
then divde by 20 centimeters since that is the cost to make 1 bow so
3000 / 20 = 150.
So 150 bows in total.
A population of emperor penguins has a mean weight of 77 pounds with a standard deviation of 16 pounds. What would be the standard deviation of sample means taken from this population with a sample size of 50?
Answer:
2.263
Step-by-step explanation:
standard deviation of sample means = s/\sqrt{n}
Given
Standard deviation s = 16pounds
Sample size n = 50
Substituting
standard deviation of sample means = 16/\sqrt{50}
standard deviation of sample means = 16/7.071
standard deviation of sample means = 2.263
Hence the standard deviation of sample means taken from this population with a sample size of 50 is 2.263
I need the answer ASAP Tap on the picture to see it fully
Answer:
g = 55
f = 55
h = 55
Step-by-step explanation:
g = 180 - 25 = 55
this is because angle on a straight line is equal to 180 degrees
f = 55
alternate angles are equal. f alternates g
h = 55
opposite angels are equal
complete the coordinates
Answer:
4x + 2y = 8
: P( 0; 4) & Q( 2; 0)