Answer:
1 2/15 inches
Step-by-step explanation:
First you need to make the denominator of the two fractions match.
4/5 and 1/3
the least common multiple of these is 15
4/5 becomes 12/15
1/3 becomes 5/15
add them together
17/15
subtract 15 from 17 because 15/15 is one
we get 2
put 2 as the numerator and 15 as the denominator
WILLL MARK BRAINLIEST AND GIVE POINTS Pls solve the check mark problems
Answer: 97. -10<n<8
99. g>=7 or g<0
101. x<5 or x>=6
Step-by-step explanation:
97. -1<9+n<17
-1-9<9-9+n<17-9
-(1+9)<n<17-9
-10<n<8
99. g+5>=12
g+5-5>=12-5
g>=7
g/9 < 0
g<0
g>=7 or g<0
101.
2x<10
x<5
x/2 >=3
x>=6
x<5 or x>=6
{-415%, -√17, -4.1, -4.08} THE ORDER SET OF NUMBERS FROM LEAST TO GREATEST
The order of set of numbers {-415%, -√17, -4.1, -4.08} from least to greatest is {-415% < -√17 < -4.1 < -4.08}
Order of set of numbers:
Numerical order is a way of arranging a group of numbers into a sequence. This could be ascending or descending.
When we arrange numbers in ascending order, we arrange them from small to big, and when we arrange numbers from big to small, it is called descending order.
Given,
=> {-415%, -√17, -4.1, -4.08}
Here we need to convert the numbers into decimal for to arrange it,
First, we have to convert the value -415% into decimal,
=> -415%
=> -415/100
=> -4.15
Next, √17 is equal to,
=> -√17
=> -4.12
How we have to arrange them in order,
=> { -4.15< -4.12 < -4.1 < -4.08}
Which is equal to,
=> {-415% < -√17 < -4.1 < -4.08}
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Pierre deposits $9,000 in a certificate of deposit that pays 1.4% interest, compounded semi-annually
How much interest does the account earn in the first six months?
What is the balance after six months?
Answer:
Interest = $63
Balance = $2,063
Step-by-step explanation:
Compound Interest Formula
[tex]\boxed{\sf I=P\left(1+\frac{r}{n}\right)^{nt} -P}[/tex]
where:
I = Total interest.P = Principal amount.r = Interest rate (in decimal form).n = Number of times interest is applied per year.t = Number of time periods (years) elapsed.Given:
P = $9,000r = 1.4% = 0.014n = 2 (semi-annually)t = 0.5 (half a year)Substitute the given values into the formula and solve for I:
[tex]\implies \sf I=9000\left(1+\dfrac{0.014}{2}\right)^{2 \times 0.5}-9000[/tex]
[tex]\implies \sf I=9000\left(1+0.007\right)^{1}-9000[/tex]
[tex]\implies \sf I=9000\left(1.007\right)-9000[/tex]
[tex]\implies \sf I=9063-9000[/tex]
[tex]\implies \sf I=63[/tex]
Therefore, the account earns $63 interest in the first six months.
The balance after six months is $2,063.
Grady's father is building a 15-meter fence with the start of the fence at coordinates(8,5) and the midpoint of the fence at coordinates (3.5,-1) . What are the coordinates of the other end of the fence?
Using proportions, it is found that the coordinates of the other end of the fence are (-1,-7) when the start point is (8, 5) and the mid point is (3.5, -1).
A proportion refers to the fraction of the total amount, and the measures are related using a rule of three.
The midpoint of a segment refer to the mean of the coordinates of the endpoints, so we get that:
3.5 = (x + 8) / 2
x + 8 = 7
x = 7 - 8
x = - 1
-1 = (y + 5) / 2
y + 5 = -2
y = -2 - 5
y = - 7.
End point =- (-1, -7)
Therefore, using proportions, it is found that the coordinates of the other end of the fence are (-1,-7) when the start point is (8, 5) and the mid point is (3.5, -1).
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What is the y intercept?
Answer:
0=y
Step-by-step explanation:
Answer: -3
Step-by-step explanation:
The y-intercept is the place where the line crosses the y-axis, the vertical line in the middle of the graph.
x/6 - 7 = -4 helpppppppp
Answer:
x = 18
Step-by-step explanation:
x/6 - 7 = -4
x/6 = -4 + 7
x/6 = 3
x = 6*3
x = 18
Check:
18/6 - 7 = -4
3 - 7 = -4
Estimate the sum of 12.15,16.85 and1.74 by rounding each number to nearest tenth
The Sum of the given numbers is 30.80.
What do we mean by the sum of numbers?When we add two or more numbers, the result or answer is known as the SUM. Addends are the numbers that are added. In the preceding example, 6 and 4 are addends, and their sum is 10. In other words, the sum of 8 and 5 equals 13, or 8 plus 5 equals 13.SUM:
12.15 + 16.85 + 1.7429 + 1.7430.74Rounding off to nearest tenth = 7 + 1 = 30.80
Therefore, the Sum of the given numbers is 30.80.
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ZE and ZF are supplementary. The measure of ZE is 54 more than the
measure of ZF. Find the measures of each angle.
Answer:
43xgfsstib dhibfdhbkfvh
what is the solution to |2x-8|<6 ?
Answer:
1 < x < 7
Step-by-step explanation:
Hello!
There are two cases for this equation:
2x - 8 < 62x - 8 > -6Solve for x in each case.
Solve for x2x - 8 < 6The solution set is 1 < x < 7.
Determine whether the rule represents an exponential function. Explain why or why not.
y=-11.x4
Answer:
Hello!
for 11 we can put in values
x = 0
y = 12 * 0^2
y=0
One point is (0,0)
x=1
y=12*1^2
y=12
Another point is (1,12)
x=-1
y = 12 * -1^2
y=12
A third point is (-1,12)
This tells us that this is not exponential since an exponential function as a steep curve on one side not two.
You can think of an exponential function as a half parabola if it helps.
13. We can plug in numbers again here.
x=0
y=7(0)+3
y=3
So the first point is (0,3)
x=1
y=7(1)+3
y=10
The second point is (1,10)
x=-1
y=7(-1)+3
y=-4
so the third point is (-1,-4)
This shows that the graph is not exponential it is linear since it goes in a straight line.
15. We just plug in -2 for t so
g(-2) = 2*0.4^-2
0.4^2 is 0.16 * 2 is 0.32 which is the answer
17. We can put 18 for w
h(18) = -0.5*4^18
This is where there is a issue because 4^18 is a extremely small number (6.9 * in scientific notation-
But we can multiply that by -0.5 to get
-3.4 *
which I believe is -0.000000034
Step-by-step explanation:
678876590* 34567845678
Answer:
ano yan ang tanong mo
Step-by-step explanation:
ano yan
Figure F is a scale image of figure E as shown. Enter the scale factor applied to figure E to produce figure F.
Step-by-step explanation:
that means that there is one scale factor for all sides of the triangles.
so,
2 × f = 14
f = 14/2 = 7
and to control, this has to work also for the other given side :
3 × 7 = 21
correct.
so, the scaling factor to get from E to F is 7.
If x = −3 and y = −6, what is the value of 3x + 4y + 15?
A: 48
B: 35
C: −18
D: −48
Answer: -18 ==> C
Step-by-step explanation:
x = −3 and y = −6
3x + 4y + 15=
3(-3) + 4(-6) + 15=
-9 + (-24) + 15 =
-9-24+15=
-(9+24)+15=
-33+15=
-(33-15)=-18 ==> C
Answer:
c) -18
Step-by-step explanation:
Given that,
→ x = -3
→ y = -6
Let's solve the problem,
→ 3x + 4y + 15
→ (3 × -3) + (4 × -6) + 15
→ -9 - 24 + 15 = -18
Thus, the solution is -18.
Jaiden earned $84 last week. Peter earned only $12. Jaiden's earnings are how many times greater than Peter's.
Answer:
×7
Step-by-step explanation:
[tex]84 \div 12 = 7[/tex]
PLEASE HELP GIVING BRAINLIEST
Answer:
y=x+3
Step-by-step explanation:
Quadratic equation whose roots are -6 and -1 with leading coefficient is 1
The quadratic equation whose roots are -6 and -1 with leading coefficient 1 is [tex]x^{2} +7x+6=0[/tex].
Given that a Quadratic equation whose roots are -6 and -1 with leading coefficient is 1 and asked to find the equation of quadratic equation.
Quadratic equation:
The polynomial equations of degree two in one variable of form f(x) = a[tex]x^{2}[/tex] + bx + c = 0 and with a, b, c, ∈ R and a ≠0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" is for the absolute term of f(x).
For a quadratic equation if (a,b) are roots then,
(x-a)(x-b) is the quadratic equation having roots "a" and "b"
The equation with roots -6 and -1 is
⇒(x+6)(x+1)
⇒[tex]x^{2}[/tex]+7x+6
Threfore,The quadratic equation whose roots are -6 and -1 with leading coefficient 1 is [tex]x^{2} +7x+6=0[/tex].
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I need to know
m 1=
m 2=
Answer:
angle 1 = 51
angle 2 = 39
Step-by-step explanation:
The sum of two angles is equal to 90° since they are complementary angles
angle 1 + angle 2 = 90° rewrite equation using given values
x + 38 + 3x = 90 add like terms
4x + 38 = 90 subtract 38 from both sides
4x = 52 divide both sides by 4
x = 13 now to find the measure of each angle replace x with 13
angle 1 = 51
angle 2 = 39
the difference between any two consecutive numbers in the list a,b,c,d,e is the same . If b = 5.5 and e = 10, what is the value of a
The value of a based on the information is 4.
How to calculate the value?It should be noted that b = 5.5
It should be noted that e = 10
There are three alphabets in between them. This means the difference will be:
= (10 - 5.5)/3
= 4.5/3
= 1.5
Therefore, the value of a will be:
= 5.5 - 1.5
= 4
The value of a is 4.
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The value of a based on the information is 4.
How to calculate the value?
It should be noted that b = 5.5
It should be noted that e = 10
There are three alphabets in between them. This means the difference will be:
= (10 - 5.5)/3
= 4.5/3
= 1.5
Therefore, the value of a will be:
= 5.5 - 1.5
= 4
The value of a is 4.
Can someone help me please
Answer: U'=(8, 5)
V'=(7, 5)
W'=(6, 10)
Step-by-step explanation:
When rotated around the origin by 180 degrees, the triangle will have all its coordinates' x and y values negated.
U=(-8, -5) ==> U'=(8, 5)
V=(-7, -5) ==> V'=(7, 5)
U=(-6, -10) ==> W'=(6, 10)
ABC, if m CAD = 29°, what is m&CAB?
D
Answer:
Step-by-step explanation:
[tex]m[/tex]∠[tex]CAD[/tex]≅[tex]m[/tex]∠[tex]BAD[/tex]
and
[tex]m[/tex]∠[tex]CAB[/tex]=[tex]m[/tex]∠[tex]CAD[/tex]+[tex]m[/tex]∠[tex]BAD[/tex]
so
[tex]m[/tex]∠[tex]CAB[/tex][tex]= 29[/tex]°+[tex]29[/tex]°
[tex]m[/tex]∠[tex]CAB=58[/tex]°
Hope this helps!
Step-by-step explanation:
the graphic shows that the angle at A is split in half by the line AD (because the angles at both sides of the line are marked as equal, so the whole angle must be 2 times of one of these parts).
so, as CAD = 29°, CAB = 2×CAD = 2×29 = 58°
I
A tree casts a shadow 42 feet long. At the same time, a person 5 feet tall casts a shadow 7 feet
long. What is the height of the tree?
x
11
59 ft
30 ft
5 ft
xft
7ft
Answer:
The tree is 30 feet
Step-by-step explanation:
Set up a proportion
[tex]\frac{height}{shadow}[/tex] = [tex]\frac{height}{shadow}[/tex] Fill in what you know
[tex]\frac{x}{42}[/tex] = [tex]\frac{5}{7}[/tex] Cross multiply
7x = 210 Divide both sides by 7
x = 30
graph the line in the image please
The equation shows that the slope of the line is 3 and the y-intercept is 4 that is the line will pass through the point (0, 4)
Graphing linear equation
The standard linear equation is expressed as y = mx + b where;
m is the slope
b is the y-intercept
Given the linear equation (y-1) = 3(x+3)
Expand
y-1 = 3x + 3
y-3x = 3 + 1
y-3x = 4
y = 3x + 4
The equation shows that the slope of the line is 3 and the y-intercept is 4 that is the line will pass through the point (0, 4)
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The triangles are similar. Find the missing side, angle or value of the variable.
∠B
a = 7 cm
b = 59°
59°
30°
91°
7 cm
Using the fact that both triangles are similar, we will conclude that the measure of angle B is 59°.
How to find the measure of angle B?
First, two figures are similar if the figures have the same shape, then the interior angles are all the same in both figures.
Here we know that the two triangles are similar and thus, the internal correspondent angles of the two triangles are equal in measure.
First, there is a common vertex at C, so the angle there is the same for both triangles. We also can see that angles A and D have the same measure, then the angles B and b will also have the same measure.
And we know that the measure of angle b is 59°, then we can conclude that the measure of angle B will also be 59°, so the correct option is the first one.
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Which of the following shows 12 more than a number, written as an algebraic expression?
A: 12 − n
B: 12 + n
C: n − 12
D: 12n
Answer:
the answer is
Step-by-step explanation:
So 12 more than N would be 12 + N.
Answer:
b) 12 + n
Step-by-step explanation:
The statement is,
→ 12 more than a number.
Now equation will be,
→ 12 + n
≈ (or) n + 12
So, option (b) is correct.
Give the rate in miles per hour round to the nearest tenth Rachel jogs 20 feet in three seconds
According to the formula speed = distance / time The rate in miles per hour is 4.54
If you know how far something has traveled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed.
Rachel jogs 20 feet in 3 seconds
then by the formula
speed = distance/time
speed = 20 feet / 3 seconds
speed = 6.666667 feet per hour
but this speed is in feet per seconds to convert the speed from feet per seconds to miles per hour we need to multiply by 0.681818,
speed = 6.66667*0.681818
speed = 4.5454 miles per hour
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Please Answer Math 10
Answer:
Hello,
Step-by-step explanation:
[tex]1) \ 4,7,10,13,16,....\\u_n=4+(n-1)*3=1+3n\\\\2)\ -10,-6,-2,2,6....\\u_n=-10+(n-1)*4=-14+4n\\\\3)\ \frac{6}{3} ,\frac{7}{3} ,\frac{8}{3} ,\frac{9}{3} ,\frac{10}{3} ...\\\\u_n=\frac{6}{3} +(n-1)*\frac{1}{3} =\frac{5}{3} +\frac{n}{3} \\[/tex]
Which describes the intersection of line m and line n?
point W
point X
point Y
point Z
Answer:
Option A on edge
Step-by-step explanation:
Its point W.
A cylinder with a height of 24 centimeters has a volume of 2, 713 cubic centimeters.
Which is closest to the radius of the cylinder?
A. 3 cm
B. 6 cm
O C. 18 cm
D. 36 cm
Answer:
18 cm Is the Answer To your Question
1) Write an absolute value equation that has the given solutions of x= -6 and x=10
2) write an absolute value equation that has the given solutions of x= -10 and x= -5
Answer:
1) [tex]|x-2| = 8[/tex]
2) [tex]|x+7.5|=2.5[/tex]
Step-by-step explanation:
The list below shows the ages (in years) of 10 people riding in a van to a math competition. C
mean age of the people in the van. Round your answer to the nearest tenth of a year.
ages
Mean =
Median =
15
15 14 11 11 14 10 15 39 48
Submit Question
years (Please round your answer to the nearest tenth.)
years (Please enter an exact answer.)
Hint: Textbook Measures of Center
Answer i dont get it
Step-by-step explanation: