Answer:
The present ages of the granddaughter and grandfather are 6 and 60 years.
Step-by-step explanation:
Let the present age of granddaughter be x years.
So, the present age of grandfather is 10x years.
According to the given condition, we have
10 x = 54 + x
9 x = 54
x = 6
10 x = 60
age of grandfather is 60
age of granddaughter is 6
Hence, the present age of granddaughter is 6 years and that of grandfather is 60 years.
(hope this helps can I pls have brainlist (crown)☺️)
Andrea buys 3 pounds of Georgia pecans for
$10.35. What is the unit rate for the pecans?
Answer:
3.45 per pound of peacans
Step-by-step explanation:
we know that 3 pounds of peacans is 10.35 dollars so all that we have to do to find the unit rate is divide 10.35 by 3 and we get 3.45$
If Martin buys a coke for $1.85 on a credit card that charges 22% interest compounded monthly what will the coke actually cost him if he does not pay the credit card off in five years?
Using compound interest, it is found that the coke will actually cost him $5.50.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
The coke is bought for $1.85, hence [tex]P = 1.85[/tex].The interest rate is of 22%, hence [tex]r = 0.22[/tex].It is compounded monthly, hence [tex]n = 12[/tex].Five years, hence [tex]n = 5[/tex]Then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(5) = 1.85\left(1 + \frac{0.22}{12}\right)^{12(5)}[/tex]
[tex]A(5) = 5.50[/tex]
The coke will actually cost him $5.50.
A similar problem is given at https://brainly.com/question/14239300
Find the reference angle for -369°
a.
9°
c.
99°
b.
81°
d.
171°
Please select the best answer from the choices provided
A
B
C
D
Answer:
A. 9
Step-by-step explanation:
REWARDING BRAINLIEST!
What is the value of x?
Enter your answer in the box.
x =
Answer:
7
Step-by-step explanation:
5/45 = 3/2x+13
The area of a trapezoid is 70. 55 square feet. The length of the bases are 11. 4 feet and 5. 6 feet. What is the height of the trapezoid? 4. 15 ft 4. 15 ft2 8. 3 ft 8. 3 ft2.
The height of the trapezoid is 8.3 feet.
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides,4 vertices and edges.
Area of a trapezoid = 0.5 x (sum of the lengths of the parallel sides) x height
70.55 = 0.5 x (11.4 + 5.6) x h
70.55 = 0.5 x (17) x h
70.55 = 8.5h
h = 70.55 / 8.5
h = 8.3 feet
To learn more, please check: https://brainly.com/question/11918864
Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Answer:
The slope of this line is y=3x-3
Step-by-step explanation:
(I'm not sure but is the line on the point(1,0)? or is it past that point?)
When does a limit exist.
Answer:
In order for a limit to exist, the function has to approach a particular value. In the case shown above, the arrows on the function indicate that the the function becomes infinitely large. Since the function doesn't approach a particular value, the limit does not exist.
Step-by-step explanation:
9i⋅(−4−7i) Your answer should be a complex number in the form a+bi where a and b are real numbers.
Answer:
see below
Step-by-step explanation:
here we are using the distributive property and noting that i^2=-1 so the answer is -36i-(63i^2) or -36i+63
n a school of 600, a survey was conducted with 10% of the population. The survey was conducted to narrow the choices for the new mascot. What was the frequency of Bears, if the following was the result of the survey?
Bears=22
Panthers=15
Beavers=2
Jaguars=21
Answer:
37%
Step-by-step explanation:
10% of 600 students is 60 students surveyed and 22 people chose bears. So to find the percent out of 60 just divide 22 by 60
22/60=.36666
move the decimal to get about 37%
hope this helps
A company has $7,200 to send its employees to a conference. The conference costs $900 for each employee who attends. How many employees can the company send to the conference?
help
any tips on adding/multiplying fractions?
Answer:
sure!
Step-by-step explanation:
if you're just wondering How to, then here you are. in order to add fractions, you first must make sure your two fractions in the equation have like denominators (if youre unsure, the bottom number in a fraction), so they just need to be the same before you can add them. Take 1/2 + 2/3 for example, both 2 and 3 can go into 6, so you can make them both fractions of 6. in order to change the bottom part of the fraction, you need to change the top part too. in the case of 1/2, you will multiply the 2 by 3, so also multiply the 1 by 3. then you have 3/6. for 2/3 you will multiply the 3 by 2, so you must also multiply the 2 by 2, you will get 4/6. Now we have 3/6 + 4/6. Do not change the denominator and simply add across the top. Now you'll have 7/6, or 1 1/6. Multiplying fractions is much much simpler. The denominators don't need to be the same, so you just multiply straight across. Multiply first numerator by second numerator, and first denominator by second denominator. using the 1/2 and 2/3 example again, you have 1/2 * 2/3. so you'll first multiply 1 * 2, and make that the numerator. You have 2/-. Then the same with the denominator, 2 * 3, giving you 2/6. (Or, you can simplify to 1/3.) hope this helps, let me know if you have more questions. :)
Where do I graph them?
hi there is the gems I am getting on to be a good choice and evolve as a means to get a better of your life
Find an equation of a line with a slope of 6 and having the point (3,5) on the line. Will mark brainliest!
Given the triangle below and the equation: sin A = 3/5.
Determine the value of b.
Using the trigonometry ratio and Pythagorean Theorem, the value of b in the triangle is: 4.
Recall:
The trigonometry ratio is used in solving a right triangle, having, hypotenuse, adjacent, and the opposite side, given a reference angle.Trigonometry ratios are: SOH CAH TOAPythagorean Theorem is given as: [tex]c^2 = a^2 + b^2[/tex], where c is the longest side (hypotenuse).Given the trigonometry ratio of sin A = 3/5
Recall that, sin ∅ = opp/hyp (SOH)
Thus, this means that, in sin A = 3/5,
A = ∅3 = opposite side, which corresponds to a in the given triangle.5 = hypotenuse, which corresponds to c in the given triangle.b is therefore the adjacent sideThus, find the value of b by applying the Pythagorean theorem.
[tex]b = \sqrt{c^2 - a^2}[/tex] (Pythagorean Theorem)
Substitute[tex]b = \sqrt{5^2 - 3^2}\\\\\mathbf{b = 4}[/tex]
Therefore, using the trigonometry ratio and Pythagorean Theorem, the value of b in the triangle is: 4.
Learn more about Trigonometry ratios on:
https://brainly.com/question/4326804
find the length of segment AB
Answer:
35
hope this helps you!!
Need help plotting x and y intercept heres a better explanation of what I need to do
Sue has 18 3/4 cups of sugar Each pie calls for 1 1/2 cup of sugar Sue wants to break 12 pies Does she have enough sugar How much will be left over or how much more does she need
Answer:
she will have 3/4 cups left over
Step-by-step explanation:
1 1/2 times 12 is 18
what is sin 45 degrees
Answer:
45 degree is an acute Angle
Step-by-step explanation:
Please mark as brain list
Write each pair of quantities as a unit rate.
A) 225 heartbeats in 3 mins
B) $18.70 for 2 tickets.
C)$6.75 for 3 golf balls
D) $78.00 for 8-hour work
Find the slope for this table.
Answer:
-1/5
Step-by-step explanation:
if you look at the table, you can see that for every 5 units of x, y goes down 1 unit. slope= rise/run so the slope is -1/5
Answer:
slope=-1/5
Step-by-step explanation:
Use slope formula to get 4-5/0-(-5) which is -1/5, so out slope is -1/5
Someone help please?
Answer:21.9FM
Step-by-step explanation:
I need #7 done (show work) will give brainliest
Answer:
see explanation
Step-by-step explanation:
(7)
∠ RPS + ∠ QPR = ∠ QPS , substitute values
8x + 7 + 9x + 16 = 40 , that is
17x + 23 = 40 ( subtract 23 from both sides )
17x = 17 ( divide both sides by 17 )
x = 1
A tank full of water is leaking at a constant rate for 30 minutes. The equation
y = -8x + 400
gives the amount of water in the tank, where y is the number of liters and x is
the number of minutes since the tank began to leak. Which statement is true?
A. There were 400 liters in the tank after 30 minutes, and it is
decreasing by 8 liters per minute.
B. There were 8 liters in the tank when the leak started, and it is
decreasing by 400 liters per minute.
C. There were 8 liters in the tank when the leak started, and it is
increasing by 400 liters per minute.
D. There were 400 liters in the tank when the leak started, and it is
decreasing by 8 liters per minute.
Answer:
A
Step-by-step explanation:
did the quiz
Answer:
D
Step-by-step explanation:
3(11-2x)=27
solve the equation
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve for x ~
[tex] \sf3(11 - 2x) = 27[/tex][tex]\sf33 - 6x = 27[/tex][tex]\sf - 6x = 27 - 33[/tex][tex] - 6x = - 6[/tex][tex]x = - 6 \div - 6[/tex][tex]x = 1[/tex]Value of x is ~
[tex] \boxed{ \boxed{ \sf \: 1 \: }}[/tex]
[tex]\mathrm{✌ \: Kaul ~✌}[/tex]
A recipe calls for 40 ounces of rice. how many grams of rice does the recipe require
Answer:
So you can convert e.g. 1 cup of rice or rice flour into grams or ounces etc. easily. Other even more exotic rice varieties converters menu page. You may enter whole numbers, decimals or fractions
Step-by-step explanation:
HELP * PICTURE INSERTED*
Answer:
9m^2
Step-by-step explanation:
Area of triangle = 1/2 ×base×height
=1/2(2/3m ×27m)
Area of triangle =9m^2
What is a slope in math.
Answer:
A slope in math is basically rise/run on a coordinate plane. If you have the trend line given and a few values given on the 'x' coordinate and the 'y' coordinate, you can find the slope using rise/run.
Hoped this helped.
The sum of two numbers is 110.The larger number is 2 less than 7 times the smaller.Find the Large number
Answer:
The larger number is 96.
Step-by-step explanation:
[tex]let \: the \: two \: numbers \: be \: a \: and \: b \\ a + b = 110 \\ let \: a \: be \: the \: larger \: number \\ a = 7b - 2 \\ we \: can \: get \: the \: value \: of \: b \: by \: substituting \: the \: value \: above \: for \: a \: in \: eq \: 1 \\ 7b - 2 + b = 110 \\ 8b - 2 = 110 \\ 8b = 110 + 2 \\ 8b = 112 \\ b = \frac{112}{8} \\b = 14\\ calculate \:the \: value \: of \: a \: using \: the \: equation \: above \\ a + b = 110 \\ a = 110 - 14 \\ a = 96 \\ hence \: the \: large \: number \: is \: 96[/tex]
Pls Hurry YES I AM GIVING A BRAINLIST AND PLS BE ACCURATE
Answer:
I haven't understand this
Step-by-step explanation:
2x+y=1
Find the value of the question mark