Answer:
x = 59/12
Step-by-step explanation:
4x + 1/3 = 20
4x = 20 - 1/3
12x/3 = 60/3 - 1/3
12x = 60 - 1
12x = 59
x = 59/12
Check:
4*59/12 + 1/3 = 20
236/12 + 4/12 = 20
240/12 = 20
what is the value of k such that 5x-2y=9 and 6x+ky=4 are perpendicular?
15
5x-2y=9......(1)
6x+ky=4......(2)
slope of eqn i= -5/-2
=5/2
slope of eqn ii = -6/k
since the line are perpendicular
5/2 * -6/k = -1
-30= -2k
k=15
Use the figure below to find the answer.
X
Find y.
y=
45
III
7
T
234567890
Answer: [tex]\frac{7\sqrt{2}}{2}[/tex]
Step-by-step explanation:
[tex]\sin 45^{\circ}=\frac{7}{y}\\\\\frac{1}{\sqrt{2}}=\frac{7}{y}\\\\y=\frac{7}{\sqrt{2}}=\boxed{\frac{7\sqrt{2}}{2}}[/tex]
Solve the inequality and express your answer in interval notation.
The correct answer is option B which is (-4-√11) and (-4+√11).
What is inequality?
Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
The inequality is given as x² + 8x + 5 < 0 for we will draw a graph of the inequality and find the range of x which ranges from ( -7.31,- 0.68) So these points in the options will be equal to (-4-√11) and (-4+√11).
(-4 - √11) = -4 -3.31 =-7.31
(-4 + √11) = -4 +3.31 = -0.68
Therefore the correct answer is option B which is (-4-√11) and (-4+√11).
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The perimeter of a rectangle is 34 cm. The length is 1 cm longer than the width. What is the length of the longest side of the rectangle?
Answer: 9 cm
Step-by-step explanation:
The formula for the perimeter of a rectangle is [tex]2l+2w=P[/tex]
Where
l is the length
w is the width
and P is the perimeter (34)
Because the length is 1 cm longer than the width instead of representing the length is l we can use w+1
Sub in the known values and solve
Step 1: Simplify both sides of the equation with the Distributive Property
[tex]2(w+1)+2w=34\\(2)(w)+(2)(1)+2w=34\\2w+2+2w=34\\(2w+2w)+(2)=34\\4w+2=34\\[/tex]
Step 2: Subtract 2 from both sides.
[tex]4w+2-2=34-2\\4w=32[/tex]
Step 3: Divide both sides by 4.
[tex]\frac{4w}{4}=\frac{32}{4} \\w=8[/tex]
Step 4: Add 1 to w to find the length of the longer side
[tex]w+1\\8+1\\9[/tex]
Peter uses the equation y = StartFraction 13 over 4 EndFraction x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by Peter’s equation?
The statement C is true about the proportional relationship that is modeled by Peter’s equation. Peter walks at a rate of 13/4 miles per hour.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
The complete question is
"Peter uses the equation Y=13/4x to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by the peat there's the equation?
A: Peter walks a rate of 4/13 miles per hour.
B: Peter walks at a rate of 4 miles per hour.
C: Peter walks at a rate of 13/4 miles per hour.
D: Peter walks at a rate of 13 miles per hour."
Given equation;
Y=13/4x
Where,
y represents the number of miles
x is the time period
The equation shows Peter walks at a rate of 13/4 miles per hour.
Hence statement C is true about the proportional relationship that is modeled by Peter’s equation.
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batman wants to wrap a perestn in a box for robin. the top and the bottom of the box is 10 cm. by 5 cm. the sides are both 3 cm by 2 cm. and the front and back are 8 cm. by 2 cm. hhow muvh wrapping papper will atman need to wrap the present?
Answer:
15
Step-by-step explanation:
find the average rate of change
Answer:
3rd option
Step-by-step explanation:
the average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
here [ a, b ] = [ 1, 4 ] , then
f(b) = f(4) = 3³ + 2 = 27 + 2 = 29
f(a) = f(1) = [tex]3^{0}[/tex] + 2 = 1 + 2 = 3 , then
average rate of change = [tex]\frac{29-3}{4-1}[/tex] = [tex]\frac{26}{3}[/tex]
HEPPPPPPPPPP PLEASEEEEEEEE
Answer:
x-int=(2,0)
y-int=(0,4)
Step-by-step explanation:
Homework Progress 46 / 90 Marks Work out the length of AB. Give your answer to 3 significant figures. A (-1, 6) B (5, 3) X + Homework Progress 46 / 90 Marks Work out the length of AB . Give your answer to 3 significant figures . A ( -1 , 6 ) B ( 5 , 3 ) X +
Answer: 6.71
Step-by-step explanation:
[tex]AB=\sqrt{(-1-5)^{2}+(6-3)^{2}} \approx \boxed{6.71}[/tex]
Question 29 of 40
Find f(-2) for f(x) = 5.3*.
Answer:
A. [tex]\frac{5}{9}[/tex]
Step-by-step explanation:
To find f(-2) in f(x)=5*3^x, plug in -2 into all the x values.
f(-2)=5*3^-2, you can use calculator to calculate 3^-2 which equals 0.1, forever 1's.
f(-2)=5*0.1=0.5 Forever 5's.
f(-2)=0.5 or [tex]\frac{5}{9}[/tex]
Hope this helps!
If not, I am sorry.
Solve the Proportion.
10/a = 15/24
a=?
Answer:
a=16
Step-by-step explanation:
10/a=15/24, a≠0
10/a=5/8
80=5a
5a=80
a=16,a≠0
a=16
Can you solve these questions and explain them for me? Thank you
Step-by-step explanation:
When folding up the box, x will be the height
(30-2x) will be the length
(25-2x) will be the width so
[tex]v(x) = x(30 - 2x)(25 - 2x)[/tex]
b. First, we can't have negative length or zero length so x must be Positve.
Set the other binomial equal to 0.
[tex]30 - 2x > 0[/tex]
[tex] - 2x > - 30[/tex]
[tex]x < 15[/tex]
[tex]25 - 2x > 0[/tex]
[tex] - 2x > - 25[/tex]
[tex]x < 12.5[/tex]
So our domain is
(0,12.5), meaning our value of x must be greater than 0 and less than 12.5
value of in the equation a=2+3+10
[tex]\huge{\boxed{\mathfrak{ANSWER}}} [/tex]
[tex]a=2+3+10[/tex]
[tex]a = 15 [/tex]
[tex]\huge \pink {\overline{ \quad \quad \quad \quad \quad \quad \quad\quad \quad}}[/tex]
There are 10 marbles in a bag. are red and the others are blue. 5 What is the ratio of red marbles to blue marbles? Question 11 * 1 There are 10 marbles in a bag . are red and the others are blue . 5 What is the ratio of red marbles to blue marbles ?
Answer:
%50 1÷2
if there is missing information. if there is 10 total marbels 5 would be red, 5would be blue.
1/5 divided by 4 equals to what
Answer:
1/5 divided by 4 equals to 0.05
evaluate the following expression when x=-4 and y=4
x³-x /4y[tex]\frac{x}{y}[/tex]
Answer: - 60
Step-by-step explanation:
[tex]\frac{(-4)^3 - (-4)}{4(4)^-4/4} \\\\= -60[/tex]
What is the difference between normal definition of set and contors definition of set
Step-by-step explanation:
The collection of well defined object is called set
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?
How far would Pete walk if he went from A to B to C? yards
The direct distance from A to C is more than yards.
The inequality w < represents the distance, w, that Pete might save by taking the direct path.
The total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have:
Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards.
Total distance if Pete walks from A to B to C:
= 15 + 25 = 40 yards
As we know in the triangle the sum of the two sides is greater than the third side.
25 + 15 > AC
The direct distance from A to C is more than 10(25-15) yards.
The inequality w < 30 represents the distance, w, that Pete might save by taking the direct path.
Thus, the total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30
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Answer:
40 yards, 10 yards, and 30 yards.
Was correct for me on edge 2023
What is the answer?????
Answer:
36.7075 Hz is the answer
Directions: Find the inverse of each number.
Additive
-3 =
14 =
-28 =
-1/5 =
Multiplicative
2/3 =
6/18 =
5 =
11 =
Answer:
Step-by-step explanation:
Additive inverse:
-3=3
14=-14
-28=28
-1/5=1/5
Multiplicative Inverse:
2/3=3/2
6/18=18/6
5=1/5
11=1/11
Answer:
inverse of -3 is +3
inverse of 14 is -14
inverse of -28 is 28
inverse of -1/5 is 1/5
inverse of 2/3 is 3/2
inverse of 6/18 is 18/6
inverse of 5 is 1/5
inverse of 11 is 1/11
Step-by-step explanation:
Because inverse mean switch it. or opposite of digit
if plus digit then negative digit .
{x + 8y = -16
{x-3y = -5
Answer: y= -1 and x=-8
x+8y=-16
x=-8y-16
so x-3y=-5
-8-16-3y=-5
-11y-16=-5
-11y=-5+16
-11y=11
y=-1
x-3y=-5
x+3=-5
x=-8
Jane and David had identical chocolate bars.
David ate 78 of his chocolate bar.
Jane ate more of her chocolate bar than David.
What fraction of her chocolate bar could Jane have eaten?
Answer:
Step-by-step explanation:
I'm assuming you meant "David at 78% of his chocolate bar" which means he at 78/100 of his chocolate bar. So if Jane ate more she could've eaten n/100 of her chocolate bar where [tex]78 < n \leq 100[/tex]. Greater than 78 since David at 78/100 and less than or equal to 100 since 100/100 means Jane at the entire thing at 101/100 wouldn't make any sense.
m<1 = (3x + 4)º
m<2 = (3x + 4)º
m<3 = 29°
m<4 = 34°
m<5 = 25°
Answer: x = 44
Step-by-step explanation:
The exterior angles of a polygon add to 360 degrees so:
(3x+4)+(3x+4)+29+34+25=360 [forming equation]6x+96=360 [combine like terms]6x=264 [subtract 96 from both sides]x = 44 [divide both sides by 6]What is 5 ones , 38 tens , 27 hundreds , and 5 thousands? Write the number in word form and expanded form
Answer:
Eight thousand eighty five, 8000 + 80 + 5
Explanation:
Five ones, thirty-eight tens, twenty-seven hundreds, and five thousands equal to:
5 + 380 + 2700 + 5000
This is 8085 when added or eight thousand eighty-five in word form. This is also 8000 + 80 + 5 in expanded form.
Convert the angle from radians to degrees: [tex]\frac{5}{6}\pi[/tex] with working
Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment
Now out of these points, steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.
The steps to copy a line segment are given below:
1. Let's start with a line segment AB that we have to copy.
2. Now mark a point C. Below or above AB, which will be one endpoint of the new line segment.
3. Now, put the compass tip on point A of the line segment AB.
4. Spread the compass up to point B, so that the compass width is equal to the length of AB.
5. Without changing the compass width, now place the compass tip on point C that you made in step 2.
6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.
7. Draw a line from C to D.
Now out of these points, steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.
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12 identically sized pieces of timber are
x
cm long when put together. How long is each individual piece?
Answer:
[tex]\frac{x}{12}[/tex] (x/12)
Step-by-step explanation:
if 12 pieces combine to make x, [we know they are identical], each piece must be 1/12 of x [1/12·x = x/12]
(think of it like this: "x" length must be divided amongst 12 pieces, so, we divide x/ 12)
Answer:
Timber=x/12
Step-by-step explanation:
12 pieces long is x, if the length of each one is same, so the length of each one is x/12.
A biased dice is rolled 100 times.
The results are shown below in the table.
Result 1 2 3 4 5 6
Frequency 12 29 26 9 14 10
Estimate the probability of rolling a prime number?
Answer:
0.69 or 69% :)
Step-by-step explanation:
Prime numbers: 2, 3, 5
Now lets add :)
29 + 26 + 14
29 + 40
69
Now we add all numbers together and divide by our first number 69 :)
12 + 29 + 26 + 9 + 14 + 10
41 + 26 + 9 + 14 + 10
67 + 9 + 14 + 10
76 + 14 + 10
90 + 10
100
69/100 = 0.69 = 69% :D
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Use the accompanying table to answer the questions regarding money ratios.
(a) What is the capital a 40-year-old should have with an income of $32,000?
(b) How much should a 35-year-old be saving for retirement with an income of $86,000?
(c) How much in education debt should a 30-year-old have with an income of $59,000?
The 40-year-old should have $___in capital.
(Simplify your answer)
(b) The 35-year-old should be saving $ for retirement.
(Simplify your answer)
(c) The 30-year-old should have $___ in education debt.
(Simplify your answer)
.
The 40-year-old should have $76800 in capital. The 35-year-old should be saving $$10,320 for retirement.
How to solve for the amountsThe capital that a 40 year old has to have with an income of 32000 is
capital income at age 40 * income
= 2.4 * 32000
Capital = $76800
b. At 35 the savings income has to be
percentage of savings income * income
= 12% * $86000
= $10,320
c. There is no specified value for education earnings.
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On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 2), has a vertex at (negative 5, negative 6.5), goes through (negative 2, negative 2), and has a y-intercept at (0, 6).
Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?
The graph is increasing for x > -5
