Answer:hiii
Step-by-step explanatio
What is the value of X?
Answer:
X=20Step-by-step explanation:
because both angles are vertical they are equal to each other
lets solve 3x+50=6x-10
add 10 to 60
3x+60=6x
subtract 3x from 6x
60=3x
divide 3 on both sides
20=x
X=20
I hope this helped :)
170
The following problems were in your worksheet on direct and inverse proportion. Reformulate the
relationships as algebraic expressions and remember to define the variables you use. You do not
have to solve the expressions.
5. The students in class usually drink a lot of water to help with their studies. I have found that
with five students in the class at least 30 litres of water is needed. How much water will be
needed when there are 30 students in the class?
Answer:
For s students, at least 6s liters of water will be needed. So, for 30 students, at least 6*30 = 180 liters of water will be needed.
Step-by-step explanation:
This question is solved by proportions, using rule of three.
I am going to say that:
s is the number of students.
l is the number of liters of water needed for s students.
I have found that with five students in the class at least 30 litres of water is needed.
This means that:
[tex]\frac{s}{l} = \frac{5}{30}[/tex]
[tex]5l = 30s[/tex]
[tex]l = \frac{30s}{5}[/tex]
[tex]l = 6s[/tex]
This means that for s students, at least 6s liters of water will be needed. So, for 30 students, at least 6*30 = 180 liters of water will be needed.
find the value of x. please tell fast plzzzz
Answer:
a) x=60°, 2x=120°
b) x=36°
Step-by-step explanation:
Step-by-step explanation:
In fig. a,
x+2x=180°
3x=180°
x=60°
In fig.b,
36°=× ----because vertically opposite angles are equal
HOPE IT HELPS YOU
Each suite has 3 beds and there is a bed side table beside each side of each bed. How many bed side tables are there in all the suites?
Answer:
8
Step-by-step explanation:
3 + 3 + 2
Jessie stacked photographs of 6 zoo animals on top of each other to create a display. Each photo is 14 1/4 in. high. How high is the display?
Answer:
85 1/2 inches
Step-by-step explanation:
14 1/4 x 6 = 85 1/2 inches
Hope that helps!
Eight randomly selected customers at a local grocery store spent the following amounts on groceries in a single visit: $216, $184, $35, $92, $142, $175, $9, and $57. Let yi denote the amount spent on groceries by a single customer in a single visit. Find the following (give the answers without commas):
a. ∑y
b. (∑y)^2
c. ∑y^2
Answer:
a) 910
b) 828100
c) 144320
Step-by-step explanation:
a. ∑y
This is the sum of all values of y. So
[tex]\sum y = 216 + 184 + 35 + 92 + 142 + 175 + 9 + 57 = 910[/tex]
b. (∑y)^2
This is the square of the sum, so the square of 910, that we found in the previous item.
910² = 828100
c. ∑y^2
This is the sum of the squares of each amount spent. So
[tex]\sum y^2 = 216^2 + 184^2 + 35^2 + 92^2 + 142^2 + 175^2 + 9^2 + 57^2 = 144320[/tex]
.) A group of neighborhood families are planning a trip to the museum. Tickets are $25 for adults
and $10 for children. The group also has a coupon for $5 off. The expression 25a + 10c – 5
represents the total cost for a adult and c child tickets. Monica is purchasing tickets for
5 adults and 9 children.
Answer:
$210
Step-by-step explanation:
the expression is 25a+10c-5
where a=adults,c=children
and we have 5adults and 9 children
then 25a + 10c - 5 is
25(5)+10(9)-5
=125+90-5
=210
answer:Monica is going to purchase tickets for 5adults and 9 children for$210
If m∠D=104°, what is m∠D'?
Answer:
m<D' = 180⁰-104⁰
m<D' = 76⁰
Please help i cant do it
Geometry question plz someone help me
combine like terms to create an equivalent expression
3.26d + 9.75d - 2.65
Answer:
13.01d - 2.65
Step-by-step explanation:
DON'T IGNORE THIS PART!!!
Hmmm... in order to be able to solve these type of expressions and more complex ones, we need to know what like terms are in the first place.
Well, the best definition of like terms is: Terms that have the same exact variables.
Let's see the terms that have the same exact variables! They are 3.26d and 9.75d.
By the way, before we continue--I would like to mention something extremely important: 3.26d and 9.75d are positive, whereas -2.65 is negative (you know, the negative sign appears right before it).
Now, let's add 3.26d and 9.75d. It equals 13.01d.
TIME TO COMBINE!!!
13.01d - 2.65
120
'N
A) 350
C) 135
D) 120
Answer:
it is d 120
Step-by-step explanation:
Find the class boundaries mid point and width for the class 37-46
The senior class is making T-shirts as a fundraiser. The material needed to make each T-shirt costs $3.75. The students sell each shirt for $10.To increase sales, the students spend $350 on advertising. How many t-shirts must the students sell to breakeven?
Answer:
the number of t-shirts sold to breakeven is 56 t-shirts
Step-by-step explanation:
The computation of the number of t-shirts sold to breakeven is shown below:
= Fixed cost ÷ (Selling price - cost price)
= $350 ÷ ($10 - $3.75)
= $350 ÷ 6.25
= 56 t-shirts
Hence, the number of t-shirts sold to breakeven is 56 t-shirts
Find the measure of an angle such that the difference between the measures of its supplement and three times its complement is 60°
The measure of the angle is
Answer:
X=50
Step-by-step explanation:
x is the angle
180 - x is its suplement
90 - x is its complement
(180 - x) - 3(90 -x) = 10
180 - x -270 +3x = 10
-90 + 2x = 10
2x = 100
X = 50
What is the difference between qualitative and quantitative data
Answer: D) Qualitative data is not collected by instruments, it is just observations
Quantitative data deals with numeric values, which is collected by instruments usually. For example, if you're weighing various rocks, then each numeric weight value is part of the quantitative data set. The color of each rock would be qualitative data as you simply look at the rocks and record the color. It will depend on what question you're trying to answer as to whether quantitative data or qualitative data is more useful. Sometimes you may need both types.
Write the equation of a line given its slope,m=6 and its y-intercept, b=-5
Answer:
Y = 6X-5
Step-by-step explanation:
substitute the value of slope and Y intercept in the standard equation Y = MX + B
where M is the slope and b is the y-intercept
0.9 (13) - 1.7 (3) =
Answer:
6.6
Step-by-step explanation:
Solve. 3 + 4(w + 5) = 31
Answer:
8/4We have,
3+4(w+5)
=31 Or, 3+20+4w
=31 or, 4w
=31−23
w=8/4
Thus, w comes out to be 2 .
Step-by-step explanation:
Hope it is helpful....
Answer:
w=2
Step-by-step explanation:
3 + 4(w + 5) = 31
distribute 4(w + 5)
4 x w = 4w
4 x 5 = 20
rewrite your equation
3 + 4w + 20 = 31
add like terms
3 + 20 = 23
rewrite equation
4w + 23 = 31
subract 23 on both sides
4w + 23 = 31
-23 -23
4w = 8
divide by 4 on both sides to get w by itself
4w = 8
4 4
w = 2
9 Darby graphed the equation y = 4x + 6 on a
graph. Samuel graphed the line defined by the
table.
x02
y 6 14
-35
-6 26
Which of the statements correctly compares the
two functions?
A. Both functions have the same y-intercept but
different slopes; therefore, Darby and Samuel
have graphed the same line.
B. Both functions have the same slope but different
y-intercepts; therefore, Darby and Samuel have
graphed parallel lines.
C. Both functions have the same y-intercept and
the same slope; therefore, Darby and Samuel
have graphed the same line.
D. Both functions have the same slope and the
same y-intercepts; therefore, Darby and Samuel
have graphed parallel lines.
Answer:
C
Step-by-step explanation:
Darby's equation in slope-intercept form: y = 4x + 6
Where,
Slope (m) = 4
y-intercept (b) = 6
Let's find the slope (m) and y-intercept (b) of the line Samuel graphed using the values of the given table.
Slope (m) using (0, 6) and (2, 14)
Slope (m) = ∆y/∆x = (14 - 6)/(2 - 0) = 8/2
Slope (m) = 4
y-intercept (b) = 6, because at x = 0, y = 6. This is where the line intercepts the y-axis.
Now, we can see that both functions has the same slope (m) = 4, and the same y-intercept (b) = 6
Both will have the same line.
Solve 5x ≥ 25. Graph the solution.
Answer:
Step-by-step explanation:
Alright so we are going to solve
5x ≥ 25 Divide both sides by 5
x≥5
what is 691÷3 in long division
Answer:
230.33333.
Step-by-step explanation:
To know how much 691/3 is in long division, the following mathematical calculation must be performed, taking into account that long divisions seek to divide both the whole numbers and the decimals of the number:
691/3 = 230 (1 left over)
1/3 = 0.333333
230 + 0.33333 = 230.33333
Therefore, 691 divided by 3 results in 230.33333.
if x = 2 and y=1 then prove that (x-y)²=x²-2xy+y²
Answer\Step-by-step explanation:
0≤(x − y)^2 ⟹ 0≤x^2−2xy+y^2
⟹ 2xy≤x^2+y^2
⟹ xy≤ x2+y2\2
⟹ xy≤ x^2+y^2
since the clearly nonnegative real x^2+y^2
clearly satisfies x^2+y^2\2 ≤x^2+y^2.
The proof of the quadratic equation (x-y)²=x²-2xy+y² is given.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
Quadratic equation
(x-y)²=x²-2xy+y²
To prove the equation:
We substitute the value and see if LHS = RHS.
In the LHS,
LHS = (x-y)²
LHS = (2-1)²
LHS = 1
In the RHS,
RHS = x²-2xy+y²
RHS = 4 - 4 + 1
RHS = 1
LHS = RHS
Therefore, the theorem (x-y)²=x²-2xy+y² is proved.
To learn more about the quadratic equation;
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WILL MARK BRAINLIEST
What is the volume of the shape in the image?
Answer:
18inches I HOPE IM RIGHTTT
Answer:
350
Step-by-step explanation:
you do length•width•height. so
10•7=70 and 70•5=350
an anthill has a volume of 8792mm^3 of dirt. its radius is 20 mm. what is the height of the cone? explain how you found the height.
Answer:
Height, h = 20.99 millimeters.
Step-by-step explanation:
Given the following data;
Volume = 8792mm³
Radius = 20 mm
To find the height;
We know that the shape of an anthill is conical in nature.
Mathematically, the volume of a cone is given by the formula;
[tex] V = \frac{1}{3} \pi r^{2}h[/tex]
Where;
V is the volume of the cone.r is the radius of the base of the cone.h is the height of the cone.Substituting into the equation, we have;
[tex] 8792 = \frac{1}{3} * 3.142*20^{2}*h [/tex]
[tex] 8792 = \frac{1}{3} * 3.142*400*h [/tex]
[tex] 8792 = \frac{1}{3} * 1256.8*h [/tex]
[tex] 8792 = 418.93*h [/tex]
[tex] Height, h = \frac {8792}{418.93}[/tex]
Height, h = 20.99mm.
Therefore, the height of the cone is 20.99 millimeters.
Tyler is observing the ascent of a
steel beam being lifted by a crane
from a position about 250 feet
away. What function models the
height h in feet of the beam as a
function of the angle of inclination
from Tyler's position to the steel
beam?
Answer:
Step-by-step explanation:
tanθ = h/250
h = 250tanθ
The height h in feet of the beam as a function of the angle of inclination from Tyler's position to the steel beam is h = 250 tanθ feet
What is angle of inclination?"The angle inclination of a line is the angle formed by the intersection of the line and the x-axis."
What are trigonometric functions?"The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths."
We have
Adjacent side = 250 feet
From the figure,
We can write trigonometric function
Tanθ = [tex]\frac{AB}{BC}[/tex]
Tanθ = [tex]\frac{h}{250}[/tex]
⇒ h = 250 tanθ feet
Hence, The height h in feet of the beam as a function of the angle of inclination from Tyler's position to the steel beam is h = 250 tanθ
Learn more about angle of inclination and trigonometric functions here
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Which number is prime?
A. 4
B. 10
C. 22
D. 31
Answer:
d. 31
Step-by-step explanation:
BRAINLIEST PLEASE
1. It is the time needed for half of a substance to decay.??
Answer:
The half-life (t1/2) is the time taken for the activity of a given amount of a radioactive substance to decay to half of its initial value.
P/S 1: Are you sure that your question is related to maths?
+ Bonus: The half-life can be calculated from the decay constant as follows: half-life = ln (2) / (decay constant).
P/S 2: Not sure which is right tho:( Really sorry about that.
Write
7
2
5
as an improper fraction.
Answer:
7*2/5 it is a improper fraction
Answer:
[tex]\frac{7}{1}[/tex], [tex]\frac{2}{1}[/tex], and [tex]\frac{5}{1}[/tex]
Step-by-step explanation:
Those are all the improper fraction forms of 7, 2, and 5.
Jonathon saves $4,000 at the end of each quarter for 10 years. Assume 12% compounded quarterly and find the present value.
A. $35,008.24
B. $92,459.08
C. $105,623.10
D. $88,459.08
Kaitlyn hopes to attend a college where tuition is $24,000 per year. She believes that tuition will increase at 4% for the 3 years until she plans to enter college. Find the quarterly payments needed to accumulate funds to pay the first year’s tuition if funds earn 8% compounded quarterly.
A. $1,597.20
B. $34.05
C. $2,012.87
D. $2,561.30
Answer:
Results are below.
Step-by-step explanation:
1. First, we need to calculate the Future Value:
FV= {A*[(1+i)^n-1]}/i
A= quarterly deposit
n= 10*4= 40
i= 0.12/4= 0.03
FV= {4,000*[(1.03^40) - 1]} / 0.03
FV= $301,605.04
Now, the present value:
PV= FV/(1+i)^N
PV= 301,605.04/(1.03^40)
PV= $92,459.09
2. First, we need to calculate the value of the first year of college:
FV= PV*(1+i)^n
FV= 24,000*(1.04^3)
FV= $26,996.74
Now, the quarterly payments:
FV= {A*[(1+i)^n-1]}/i
A= quarterly deposit
Isolating A:
A= (FV*i)/{[(1+i)^n]-1}
i= 0.08/4= 0.02
n= 3*4= 12
A= (26,996.74*0.02) / [(1.02^12) - 1]
A= $2,012.87
