[tex]\sf\purple{The\:value\:of\:x\:is\:10.4.}[/tex]✅
Step-by-step explanation:
[tex] \frac{(10x - 4)}{5} = 20 \\ ✒ \: 10x - 4 = 20 \times 5 \\ ✒ \: 10x = 100 + 4 \\ ✒10x = 104 \\ ✒ \: x = \frac{104}{10} \\ ✒ \: x = 10.4[/tex]
[tex]\sf\red{Therefore,\:the\:value\:of\:x\:is\:10.4.}[/tex]
To verify:-
[tex] \frac{(10x - 4)}{5} = 20 \\ ✒ \: \frac{10 \times 10.4 - 4}{5} = 20 \\ ✒ \: \frac{104 - 4}{5} = 20 \\ ✒ \: \frac{100}{5} = 20 \\ ✒ \: 20 = 20 \\ ✒ \: L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
In a class test, Jumbo scored 20% more than Mambo and Mambo scored 10% less than Rambo. If Rambo scored 100 marks then what is the score of Jumbo?
Answer:
i didnt mean to answer this question
Step-by-step explanation:
g(r) r²6r 55 1) What are the zeros of the function? Write the smaller r first, and the larger r second. smaller r = larger r = 2) What is the vertex of the parabola?
Answer:
smaller r = -8
larger r = 2
vertex of the parabola
(-8,2)
Step-by-step explanation:
Solve for x.
-30 = 5(x + 1)
x=
Answer: -7
Step-by-step explanation:
-30 = 5(x + 1)
-30 = 5x + 5. ( After distrbuting the 5)
-5. -5
-30 - 5. = 5x
-35 = 5x
x = -7
an initial investment of $9000 grows at an annual interest rate of 5% compounded continuously. how long will it take to double the investment?
Answer:
20 years
Step-by-step explanation:
9000/ 100= 900 = 10%
900/2= 450
450 x 2= 900
900 x 10= 9000
Now we multiply 10 by 2 because we doubled the value of our 450 into a 900 and now we get 20.
Compound interest is the interest that is made from the principal and the interest as well in consecutive years.
The number of years it will take to double the investment is 15 years.
What is compound interest?Compound interest is the interest that is made from the principal and the interest as well in consecutive years.
We have,
Principal = $9000
Rate = 5%
The formula is given as:
A = p [tex](1 + \frac{R}{100} )^{n}[/tex]
n = number of years
Double the investment:
Amount = 2 x 9000 = 18000
Now,
18000 = 9000 [tex](1 + \frac{R}{100} )^{n}[/tex]
2 = [tex](1 + 0.05)^{n}[/tex]
2 = [tex]1.05^{n}[/tex]
Taking log on both sides.
[ log a² = 2 log a ]
log 2 = n log 1.05
0.30 = n 0.02
n = 0.30 / 0.02
n = 15
Thus,
The number of years it will take to double the investment is 15 years.
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You are at the top of a lighthouse that is 500 ft tall. You look down towards the ocean and see a boat located 800 ft. from the shore.
a) What is the angle of depression from your position to the boat? Round to the nearest whole number.
b) If the boat travels away from the lighthouse an additional 1000 feet, what is the angle of depression from your position to the boat? Round to the nearest whole number.
C) By how many degrees did your line of sight change.
Answer:
a) 32° (nearest whole number)
b) 16° (nearest whole number)
c) 16.5° (1 d.p.)
Step-by-step explanation:
Please see the attached picture for the full solution.
The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 325 cubic inches and a length of 13 inches, what is the constant of proportionality for the group of boxes?
1/25
4,225
25
Answer:
k = 25
Step-by-step explanation:
Given the following data;
Volume = 325 in³
Length = 13 inches
To find the constant of proportionality, k;
Mathematically, direct proportion is given by the expression;
V = kL
k = V/L
Substituting into the formula, we have;
k = 325/13
k = 25
Shirts are 50% off. The original price of one shirt is $60. dollars, of two shirts, at the sale price, including a 10% sales tax
Answer:
I guess, you are asking how much two shirts are costing now.
the answer is $66
Step-by-step explanation:
sales tax is always calculated from the actual sales price (and never from a list price or so).
so, the discount is 50%.
=> a shirt now costs only $30 (instead of $60).
50/100*60 = $30
now, sales tax is calculated from these $30.
=> 10% of $30 is $3
10/100*30 = $3
therefore, a single shirt costs now $30+$3 = $33 incl. sales tax.
two shirts cost therefore 2 * $33 = $66
identify the true statement:
A. Mammals are producers.
B. Plants are consumers
C. Birds are producers
D. Mammals are consumers
Answer:
D, they eat so consumers.
Step-by-step explanation:
Help pls
Is either x = 7 or x = 9 a solution to 23 >19?
A. Neither is a solution.
B. They are both solutions.
C. x = 7 is a solution, but x = 9 is not.
D. x = 9 is a solution, but x = 7 is not
Answer:
b they are both solution
Can some one help me ASAP
Answer:
To get the Angle
Cos=46/59
tita=
[tex] {cos}^{ - 1} [/tex]
46/59
tita=37.667
tita=38°
Find the surface area of rectangular prism.
s=
Answer:
16
Step-by-step explanation:
For rectangular prisms you do L, W, H.
4 = Length
x
2 = Width
x
2 = Height
=
Volume = 2 x 2 x 4 = 16
~ LadyBrain
On Saturday, Emily's mother gave birth to twins and named them Nyra and Ishaan. When they were first born, Nyra weighted
3.96 kilograms , and Ishaan weighed
2.56 kilograms. How much did the babies weigh in total?
part of the object is a rectangle that is twice as tall it is wide one of the rectangles sides is also a side of a pentagon
Answer:
c
Step-by-step explanation:
Calculate sales tax using the following information:
Taxable amount of the sale: $150
Sales tax percentage: 7%
What is the amount of the sales tax?
Round the answer to the nearest cent (hundredths).
A percentage is a way to describe a part of a whole. The amount of the sales tax is $10.5.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given the taxable amount of the sale is $150, while the Sales tax percentage is 7%. Therefore, the amount of sales tax is,
Amount of sales tax = 7% of $150 = 0.07 × 150 = $10.5
Hence, the amount of the sales tax is $10.5.
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Find the period of the function. y = 5 cos one divided by two x
Answer:Scientists at the Mauna Loa observatory in Hawaii say that CO2 levels in the atmosphere now stand at 387 parts per million (ppm), up almost 40% since the industrial revolution and the highest for at least the last 650,000 years.
Step-by-step explanation:
Can somebody please help in this question?
First find the area of one side.
The area of the side of a cube is s^2 where s is the length if one edge.
The edge length is given as 2/3, so the area of a side is 2/3^2 which is equal to 2/3 x 2/3 = 4/9 square units.
A cube has 6 sides so now to find the surface area of the cube multiply the area of one side by 6 sides:
4/9 square units x 6 = (4 x6)/9 = 24/9 which can be rewritten as 2 2/3 square units
The answer is 2 2/3 units^2
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!! ALL LINKS WILL BE REPORTED!!!!!!!!!!!
Answer:
1. Dot Plot
2, The histogram
Which statement about the angle 0 is true
Answer:
Option C, sin(Ф) = 7/25
Hope this helps!
(3w-8)(5=w)=0 ,What is w?
Answer:
- 1. 5 as decimal
-3 / 2 as a fraction
Step-by-step explanation:
question in picture attached
Answer:
True
Step-by-step explanation:
Right angles (shown on the diagram) are perpindicular by definition.
Mrs. Wigen conducted a survey in her math class. She asked each of her students to tell her how many pets they have at home. The dot plot below represents the results of Mrs. Wigen's math class survey. 12-----3 4:25 Number of pets at home Find the Measures of Center for the data: Mean Round to the nearest tenths place Median Mode
Answer:
4 : 25 to round off we have to see that
4 : 25 to round off we have to see that If in ones place it is more than 5 or not
4 : 25 to round off we have to see that If in ones place it is more than 5 or not if yes we will add to 1 no to tenths place
4 : 25 to round off we have to see that If in ones place it is more than 5 or not if yes we will add to 1 no to tenths place Finally 4 : 25 it has 5 in its ones place
So the answer will be 4 : 30Peter was in a line. There were twice as many students in front of him as behind him. Students (more than 3 but fewer than 9) left the line but Peter did not. Then twice as many students were behind Peter as in front. How many students left the line?
Answer:
6 people left
Step-by-step explanation:
4 behind him 8 infront 6 left from infront leaving 4 behind 2 infront
Answer:
6 studentsExplanation:
x = the number of students in front of peter
y = the number of students behind peter
z = the number of students who left, for 3 < z < 9 ∴ z ∈ {4, 8}
system of equations:
x = 2y2(x-z) = y (assuming that the students who left were all among the students who are in front of peter)x = 2y ⇒ y = x/2 (defining y with x)
2(x-z) = y (lets substitute y)
2(x-z) = x/2
2x-2z = x/2
2(2x-2z) = x
4x-4z = x
4x-x = 4z
3x = 4z
if z = 6 (i pluged the numbers from 4 to 8)
then
3x = 4×6
3x = 24
x = 24/3
x = 8
∴ y = 4
8 students were in front of peter and 4 were behind him
6 left
now 2 students are in front of peter and 4 are behind him
8 is twice 4
8-6 = 2
4 is twice 2
Solve the inequality:
5x - 7 ≥ 3x + 9
Answer:
x≥8
Step-by-step explanation:
Answer:
x ≥ 8
Step-by-step explanation:
Subtract 3x from both sides:
2x - 7 ≥ 9
Then add 7 to both sides:
2x ≥ 16, or
x ≥ 8
y=-2x-5
y=5x+6
Round to the nearest hundredth.
Step-by-step explanation:
-2x-5=5x + 6
-2x - 5x = 6 + 5
-7x = 11
x = -11/7
x = 1.571
y = 5(1.571) + 6
y = 7.855 + 6
y = 13.855
Can anyone help me?
hey dear the answer is 0.185
Dolve for theta. С 13 4 o o A B Your answer
Answer:
θ ≈ 17.1°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan θ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{4}{13}[/tex] , then
θ = [tex]tan^{-1}[/tex] ([tex]\frac{4}{13}[/tex] ) ≈ 17.1° ( to the nearest tenth )
Carson has a package to mail the package is 87 inches Long the shipping company only Mail Packages that are up to seven feet long can Carson mail the package show your work and add complete sentences to your answer. ASAP PLS
Answer:
Carson can't mail the package
The reasoning for why he can't mail it is because in every foot there is 12 inches and if u multiply 12 by 7 you get 84 meaning Carson's package is larger then 7ft
Packaging and Branding; Your Small Business Shipping Strategy; 5 Ways ... Download the complete in-depth, 16 chapter guide. ... USPS offers cubic pricing for Priority Mail shipments
Please mark me as brainlistDuring one month, there were 2,000 people who used the advertiser links on a website. The percent of people who clicked on each
advertisement link is shown in the circle graph. Calculate the number of people who clicked on the link for each type of advertisement. How
many people used the Music link?
Advertiser Links
Computers
2396
Music
25%
TVS
3%
Movies
1796
Cell phones
32%
340
450
500
540
Answer:
500
Step-by-step explanation:
During one month, there were 2,000 people who used the advertiser links on a website. The percent of people who clicked on each
advertisement link is shown in the circle graph. Calculate the number of people who clicked on the link for each type of advertisement. How
many people used the Music link?
Advertiser Links
Computers
2396
Music
25%
TVS
3%
Movies
1796
Cell phones
32%
340
450
500
540
Then You Turn The Music Percent Into A Decimal Which Is .25% Then Times That By 2000 And You Get .25 X 2000 = 500
6x-3y=3 in slope intercept
Answer:
the answer is 1 hshshebehdbdbdbbsbd
Step-by-step explanation:
+3 +3
6x=6
6/6=1
Which is the graph of the system of equations?
2x - 3y = 12
4x - y = 8
YA
1
-
6
-21
The solution of the linear system is (1.2, -3.2). Then the correct option is A.
What is linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The system of the equations is given below.
2x - 3y = 12 ..1
4x - y = 8 ..2
By solving the equations 1 and 2. Then we have
x = 1.2 and y = -3.2
Then the correct option is A.
The graph of the system of the equation is given below.
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