Answer:
227.5
Step-by-step explanation:
Find the number that is increased by 30% to get to 325.
100-30 = 70.
In other words, what number is 70% of 325.
325 x .70 = 227.5
The original price of the ring was 227.5.
Check your work, 227.5 = 70% of X
227.5 / .70 = 325
Answer:
The cost before the increase is £250.
Step-by-step explanation:
Given that after 30% increases, the cost of the ring is £325 so we can assume that 130% is £325. Now, we have to form an expression in term of x where x represents the original cost :
[tex] \frac{130}{100} \times x = 325[/tex]
Next, we have to solve it :
[tex]x = 325 \div \frac{130}{100} [/tex]
[tex]x = 325 \times \frac{100}{130} [/tex]
[tex]x = 250[/tex]
Peter purchases a baseball card for $150 as an investment. His research tells him that the value of
the card should double every 3 years. When will the card reach a value of $ 4000?
Answer:
6 years
Step-by-step explanation:
Given
[tex]Initial\ Investment = 150[/tex]
[tex]Ratio = double[/tex]
Required
When will it get to 4000
This question illustrates a geometric progression and will be solved using:
[tex]T_n = ar^{n-1}[/tex]
In this case;
[tex]T_n = 4000[/tex]
[tex]r = double = 2[/tex]
[tex]a = 150[/tex]
So, we're to solve for n
[tex]4000 = 150 * 2^{n - 1}[/tex]
Divide through by 150
[tex]\frac{4000}{150} = 2^{n-1}[/tex]
[tex]26.67= 2^{n-1}[/tex]
Take Log of both sides
[tex]Log26.67= Log2^{n-1}[/tex]
Apply law of logarithm
[tex]Log26.67= ({n-1})Log2[/tex]
Take Log values
[tex]1.42602301569 = (n - 1) * 0.30102999566[/tex]
Make n - 1 the subject
[tex]n - 1 = \frac{1.42602301569}{0.30102999566}[/tex]
[tex]n - 1 = 4.73714591984[/tex]
Add 2 to both sides
[tex]n = 1 + 4.73714591984[/tex]
[tex]n = 5.73714591984[/tex]
[tex]n = 6[/tex] (Approximated)
Hence, it'll take 6 years
PLEASE HELP! An angle's measure is equal to 24 less than its complement. Find the measure of the angle.
The Larger complement angle is 57 degrees and Small angle is 33 degrees.
Given about the complement angles.
Complement angles means, the two angles will add up to 90 degrees.
Then angles is x+(x-24)=90
⇒2x=90+24
⇒2x=114
⇒x=57
So, the larger angle is 57 degrees.
small angle is 90-57=33 degrees.
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Kendra earns $11.60 per hour working at the movie theater. Each week, she donates of
10
her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked 8 hours
2
last week, how much money did she donate to the charity?
Answer:
$9.86
Step-by-step explanation:
First, write both numbers in the same form. Convert 8
1
2
to a decimal.
8
1
2
= 8+
1
2
= 8+
1×5
2×5
= 8+
5
10
= 8+0.5
= 8.5
Multiply.
11.6
× 8.5
580
+ 9280
98.60
Kendra earned $98.60 last week.
Now multiply to find how much money Kendra donated to the charity last week. She earned $98.60, and she donates
1
10
of her earnings each week.
First, write both numbers in the same form. Convert
1
10
to a decimal.
1
10
=0.1
Multiply.
98.6
× 0.1
9.86
Kendra donated $9.86 to the charity last week.
ANSWER ASAP FOR QUIZ
If r=8 units and h=11 units, what is the volume of the cylinder shown above? Use 3.14 for pi. HELP ME
Answer:
The answer is
2210.56 units³Step-by-step explanation:
Volume of a cylinder is given by
V = πr²hwhere
r is the radius of the cylinder
h is the height
From the question
r = 8 units
h = 11 units
Substitute the values into the above formula and solve
V = 3.14(8)²(11)
= 3.14(64)(11)
= 3.14 × 704
We have the final answer as
V = 2210.56 units³
Hope this helps you
Is the sum of √16 and 1.5 rational or irrational?" Justify and explain your answer.
Answer:
Rational
Step-by-step explanation:
The square root of 16 is 4, and 4 + 1.5 is = to 5.5. An irrational number is defined as infinite and never-ending. Since 5.5 is not infinite, we can conclude that it isn't irrational.
Nina’s total trip to and from work is 14 miles. If she works 243 days this year, how many miles will she drive to and from work?
Answer:
3,402
Step-by-step explanation:
Step 1:
243 × 14
Answer:
3,402
Hope This Helps :)
Answer:
3402
Step-by-step explanation:
Perform matrix subtraction to find the values of w,
x, y, and z.
Answer:
w = ⇒ 21
x = ⇒ 13
y = ⇒ -11
z = ⇒ -16
Step-by-step explanation:
The value of the matrix will be [tex]\left[\begin{array}{ccc}w &x&\\y&z\end{array}\right] = \left[\begin{array}{ccc}21&13&\\5&-16\end{array}\right][/tex]
What is the matrix?A matrix is a rectangular array of numbers that are arranged in rows and columns. The numbers are referred to as the matrix's elements or entries. Engineering, physics, economics, and statistics, as well as various disciplines of mathematics, all use matrices.
[tex]=\left[\begin{array}{ccc}17&12&\\-3&-2\end{array}\right] - \left[\begin{array}{ccc}-4&-1&\\8&14\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}w &x&\\y&z\end{array}\right] = \left[\begin{array}{ccc}21&13&\\5&-16\end{array}\right][/tex]
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I NEED HELP ASAP
Evaluate the expression for r = –3.
15 + 6r =
Answer: -3
Step-by-step explanation:
Since we are given the value of r, we can plug that value into the expression and solve.
15+6(-3) [multiply]
15-18 [subtract]
-3
Now, we know that the expresison is equal to -3.
WORTH 85 POINTS!!
explain in FULL sentences!!!
A student conducted an experiment to test whether talking to plants would help them to grow faster. He set up the following two groups: Group 1: spoken to and hand watered Group 2: not spoken to and hand watered After three weeks, the plants in Group 1 showed much more growth than those in Group 2.
Name the independent and dependent variable.
Answer: Group 1 is the dependent variable, and group 2 is the independent
Step-by-step explanation: The dependent variable is the variable that is being measured or tested in an experiment. So, Group 1 would be the dependent variable, because as it says the the group 1 plants were spoken to and hand watered as in they changed the outcome of the experiment.
The independent variable is the variable the experimenter changes or controls. So, the independent variable would be group 2 because the group 2 plants outcome was not determines anything but it's self.
a saline solution has a concentration ratio of 2.5mg of salt in 100ml of solution. How many mg of salt will be needed to produce 500ml of a saline solution having the same concentration?
Answer:
12.5mg
Step-by-step explanation:
500ml÷100ml= 5
2.5mg×5= 12.5mg
Solving equations to find angle measure
Show work please
Step-by-step explanation:
2x + 1 + x - 13 = 180° because these angles are supplementary
3x - 12 = 180°
3x = 180 + 12
3x = 192 divide both sides by 3
x = 64
2x + 1 ➡ 2 × 64 + 1 = 129°
x - 13 ➡ 64 - 13 = 51°
On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function C of F = five-ninths (F minus 32) to convert this temperature from degrees Fahrenheit to degrees Celsius. What does C(76.1) represent?
Answer: the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius
Step-by-step explanation:
Answer:Aka) A
Step-by-step explanation:
does the number 15/3 belong to the set of natural/counting numbers?
work out 6d + 8 = 14 + 3d
In 6d + 8 = 14 + 3d , D=2
Isolate the variable by dividing each side by factors that don't contain the variable.
A map scale shows that 3 km = 2 cm. How many cm would represent 15 km on the map?
cm
Answer:
3 = 2
15 = 10
10 cm
Step-by-step explanation:
#3 - Simplify the expression. Type your answer with all lowercase letters and no spaces. Type your p variable first and g variable second in your answer. * 2(5p+2g)+5g
Answer: 10p+9g
Step-by-step explanation:
2(5p+2g)+5g
10p+4g+5g
10p+9g
the mean number of goals scored is 2.5 the mean number of away goals scored is 1.8 how many home and away games have been played in total
PLZ HELLLLLLPPPPPPPP!
WILL MARK BRAINLIEST!!!!!
Answer:
more than one than its a and b but only one than its a
find the value of x if h is the midpoint of gj, gj equals 4x-6, and gh=27 - huryyyyyyy please.
Answer: X=15
Step-by-step explanation:
GH+HJ= GJ
27+27=4x-6
54=4x-6
60=4x
15=x
find the length of the missing side
a) 17 cm
b) 22 cm
c ) 15 cm
d) 13 cm
The missing side of the triangle is measure 13 cm.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Two sides of right triangle are,
⇒ 5 cm, 12 cm
Since, The triangle is a right triangle.
So, We can apply the Pythagoras theorem as;
Let the measure of missing side = x
⇒ x² = 5² + 12²
⇒ x² = 25 + 144
⇒ x² = 169
⇒ x = √169
⇒ x = 13 cm
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Can someone please help
Answer:
-6 degrees F
Step-by-step explanation:
We start with -8F as the temperature. It fell 10 degrees to 2F, then fell 8 degrees to -6F.
Answer:
The answer is 10 because -8 plus 10 is 2 - (-8) is still 10 however that's in a calculator the correct answer is -6
what is another way to represent this solution set?
Answer:
What solution set? I think you forgot to add a picture..
What solution do you need help with? :)
Reduce each fraction below 6/6= 10/2= 2/6=
Answer:
6/6 = to 1
10/2=to 5
2/6= to 1/3 or 0.3333333333
Step-by-step explanation:
6/6 divide by 1
10/2 10 divide by 2
2/6 reduce to 1/3 or o.3333333333
Jordan will hike a 10 mile trail at a rate of 2 mi/h. Write a linear equation to represent the distance of the trail that Jordan still has to hike after x hours. What does the y-intercept of the equation represent?
Answer:
y = 10 -2x; 10 is the length of the trail
Step-by-step explanation:
Jordan's remaining distance starts at 10 miles, and decreases 2 miles each hour:
y = -2x +10
The y-intercept is the length of the trail.
write a word phrase for
[tex] - 5 - 4n[/tex]
-5: negative five
-: minus
4n: a number times four
Put everything together.
Negative give minus a number times four.
Best of Luck!
Question 4 -
Next >
What is the mode given the data set: 97, 82, 87, 97, 100, 75, 81?
A
81
B.
82
C.
97
D.
100
what’s the mode
5^7/5^5 hurrrrrrrrryyyyyyyyyyyyy
Answer:
25
Step-by-step explanation:
What is 4 less than three sevenths of y
Answer:
[tex]\frac{3}{7}y - 4[/tex]
Step-by-step explanation:
Let's start with the part "three sevenths of y". In this statement, "of" means multiply or times. So, let's apply that. It would now be three sevenths times y. Three sevenths times y looks like this: 3/7y"4 less than" means subtraction because less than means subtractions. So our first part is 3/7y. Now let's add less 4 less than: 3/7y - 4.I hope this helps!
HELP ME PLS
A media research survey showed that one evening, 2/3 of all U.S. households had their televisions on, and 3/8 of them were watching a World Series baseball game. What fraction of the U.S. households was watching the game?
Answer:
sfhjty
Step-by-step explanation: