Answer: 15 dimes
Step-by-step explanation:
Nickels are 5 cents and dimes are 10 cents and since they are a total of 1.95 coins in total we can set up the two equations and solve for how much there are for each of the money.
x + y = 24
0.05x + 0.10y = 1.95 so solve for y and x is the number of nickels while y is the number of dimes.
x+y=24
-y -y
x = -1y +24
0.05(-1y +24) + 0.10y = 1.95
-0.05y + 1.2 + 0.10y = 1.95
0.05y + 1.2 = 1.95
-1.2 -1.2
0.05y = 0.75
y = 15
Question 2 (1 point)
Find the value of x. Round you answer to the nearest tenth.
X
16
27
Step-by-step explanation:
[tex]\blue\star[/tex]By P.G.T
[tex] {h}^{2} = {b}^{2} + {p}^{2} [/tex]
[tex] {27}^{2} = {16}^{2} + {x}^{2} [/tex]
[tex]729 = 256 + {x}^{2} [/tex]
[tex] {x }^{2} = 729 - 256 \\ [/tex]
[tex]x = \sqrt{473} [/tex]
[tex]\huge\boxed{x = 22}[/tex]
Hope it helps .
a^2=b^2+c^2.
27^2=16^2+c^2.
729=256+c^2
c^2=729-256.
c^2=√473.
c=21.74856317~21.7(to nearest tenth).
A cone is cut out of the center of a pyramid with a rectangular base. The rectangular base has side lengths of 15 and 10 units. The cone has a diameter of 9 and a height of 12. The pyramid and cone have the same height. What is the volume of the shaded portion of the composite figure? Express your answer in terms of π. 519π units3 681π units3 (600π – 81) units3 (600 – 81π) units3
Answer:
Volume of shaded portion = (600 - 36π) units³
Step-by-step explanation:
Volume of the shaded portion = Volume of pyramid - Volume of cone
Volume of pyramid = ⅓*l*w*h
Where,
l = length of base of pyramid = 15 units
w = width of base of pyramid = 10 units
h = height of pyramid = 12 units
Plug in the values to find the volume of the pyramid
Volume of pyramid = ⅓*15*10*12 = 5*10*12 = 600 units³
Volume of Cone = ⅓πr²h,
Where,
r = radius = ½ of diameter = ½ of 9 = 3 units
h = height = 12 units
Volume of Cone = ⅓*π*3²*12 = ⅓*π*9*12
= π*3*12 = 36π units³
Volume of shaded portion = (600 - 36π) units³
Answer:
d
Step-by-step explanation:
In a recent year, 26.2% of all registered doctors were female. If there were 45,300 female registered doctors that year, what was the total number of registered doctors? Round your answer to the nearest whole number.
Answer:
798980 doctors
Step-by-step explanation:
In a recent year, 26.2% of all registered doctors were female. The total number of registered doctors is 172900.
What is the percentage?The percentage is a quantifiable way of comparing amounts with different totals. Because the percent is an equivalent fraction of the part with the whole, it is also a good way to get unknown amounts.
Percentages are basically fractions with a denominator of 100. We use the percent symbol (%) beside a number to indicate that it is a percentage. To calculate the percentage, divide the value by the total value and multiply the result by 100.
As given, 26.2% of all registered doctors are females.
Consider, the total number of registered doctors as x
26.2% of x are females
26.2% of x is 45,300
26.2 / 100 × x = 45,300
x = 45,300 × 100 / 26.2
x = 172900.76
Therefore, the total number of registered doctors is 172900.
To learn more about percentages, refer to the link:
https://brainly.com/question/28269290
#SPJ2
Can someone help me out
Answer:
40
Step-by-step explanation:
Surface area is the sum of the faces of all sides, so find the area of all sides and add
Answer:
40 mi²
Step-by-step explanation:
(see attached for reference)
the formula for surface area of a right rectangular prism
= 2(length x width) + 2(width x height) x 2(length x height)
in our case
length = 4 mi
width = 2 mi
height = 2 mi
substituting these values into the equation:
surface area
= 2(length x width) + 2(width x height) x 2(length x height)
=2(4)(2) + 2(2)(2) x 2(4)(2)
= 16 + 8 + 16
= 40 mi²
A truck can be rented from Company A for $120 a day plus $0.40 per mile. Company B charges $40 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer: 400 miles
Step-by-step explanation:
Let x= the amount of miles
120+0.4x=40+0.6x
80+0.4x=0.6x
80=0.2x
x=400
400 miles a day the rental cost will be same
Hope this helps!! :)
Please let me know if you have any question
Use only the digits 0 - 9 to complete the fraction.
__
1.90 = 21/___
Choose the correct place value for the following number:
10,111
A. Ones
B. Tens
F. Hundred Thousands
C. Hundreds
E. Ten Thousands
D. Thousands
Answer:
E. Ten thousands, i. e. 1×10000=10,000
2p - 6 = 8 + 5(p +9)
How do you solve it
Step-by-step explanation:
2p-6=8+5p+45
2p-6=53+5p
2p-5p=53+6
-3p=59
p=59/-3
p= -19.67
let me know if this helps :)
p = - 59/3
[tex]p=-19\frac{2}{3}[/tex]
Step-by-step explanation:2p - 6 = 8 + 5(p + 9)
2p - 6 = 8 + 5p + 45
- 6 - 8 - 45 = 5p - 2p
3p = - 59
p = - 59/3
[tex]p=[/tex] [tex]-19\frac{2}{3}[/tex]
When an experiment result seems to only partly support a hypothesis, a researcher should consider which of the following?a. Accounting for the research biasesb. Exploring alternation explanationc. Formulating scientific lawd. Manipulating data
Answer:
b. Exploring alternation explanation
Step-by-step explanation:
Experiments are carried out in controlled conditions to confirm a known truth, examine the validity of a hypothesis, or evaluate the efficacy of something that has never been tried before.
SO, when an experiment result seems only partly to support a hypothesis, the best thing to do is to consider exploring alternative explanations through modification of the hypothesis.
A scientific should not be formulated because it is when we have a valid theory that we can formulate a scientific law.
Also, we cannot manipulate the experiment's data because it is not part of the code and conduct of carrying out research.
the altitude of mt. makalu is 8485meters,find its heights in centimeter
Answer:
the answer is 848500 centimetres
Step-by-step explanation:
we have to multiply the value by 100.
hope it helps.
Answer:
848500 cm
Step-by-step explanation:
[tex]1 \:cm =0.01 \:m\\x\: cm = 8485 \: m\\\\\frac{8485}{0.01} \\\\= 848500[/tex]
Please don’t skip! Urgent! Please just give me the answers to the solution part.
You don’t have to explain
Answer:
you have selected the correct option for the first part
in the second part, the answer is "there is no solution"
in the third part, the answer is "one solution" which is (0 , 1)
brainly it if you found this helpful
Please help I need all the steps
Answer:
Step-by-step explanation:
x + 5 = 20
x = 15
Answer:
x=15
Step-by-step explanation:
We are given the equation:
[tex]\frac{1}{4} = \frac{5}{x+5}[/tex]
We want to solve for x. Therefore, we must isolate x on one side of the equation.
Let's begin by cross multiplying. Multiply the numerator of the first fraction by the denominator of the second. Then, multiply the denominator of the first by the numerator of the second.
[tex]1(x+5)=(4*5)[/tex]
[tex]x+5=(4*5)[/tex]
[tex]x+5=20[/tex]
5 is being added to x. The inverse of addition is subtraction, so subtract 5 from both sides of the equation.
[tex]x+5-5=20-5[/tex]
[tex]x=20-5[/tex]
[tex]x=15[/tex]
Let's check our solution. Plug 15 in for x.
[tex]\frac{1}{4} = \frac{5}{x+5}[/tex]
[tex]\frac{1}{4} = \frac{5}{15+5}[/tex]
[tex]\frac{1}{4} = \frac{5}{20}[/tex]
[tex]\frac{1}{4} = \frac{5/5}{20/5}[/tex]
[tex]\frac{1}{4} = \frac{1}{4}[/tex]
Our solution checks out, so we know it is correct.
The solution to this equation is x=15
Somone please help! And with some other questions!
Answer:
DC
Step-by-step explanation:
Which statement BEST describes the relationship between whole numbers and natural numbers shown in the diagram?
A)
B)
The diagram shows that whole numbers are a subset of natural numbers,
because all whole numbers are natural numbers.
The diagram shows that natural numbers are a subset of whole numbers,
because all natural numbers are whole numbers.
The diagram shows that whole numbers are a subset of natural numbers,
because some whole numbers are not natural numbers.
The diagram shows that natural numbers are a subset of whole numbers,
because all whole numbers and natural numbers have no numbers in
C)
D)
common.
Answer:
The correct option is B.
Step-by-step explanation:
Consider the diagram below.
It is a Venn diagram.
The diagram shows that all the natural numbers are contained in the set of all the whole numbers.
This implies that all natural numbers are whole numbers.
Then the statement best describing the relationship between whole numbers and natural numbers is:
(B) The diagram shows that natural numbers are a subset of whole numbers, because all natural numbers are whole numbers.
Thus, the correct option is B.
if one card is picked at random from a deck of 52 cards which contains an equal amount of hearts, diamonds, clubs, and spades, the probability that it is a club is
Answer:
25%.
Step-by-step explanation:
Since there are 52 cards, and 4 suits, you must find the number of cards for each suit. Begin by dividing 52 by 4.
52 / 4 = 13.
Now, we must check how many times 13 goes into 52. It goes in 4 times (4 x 13 = 52).
Because it is exactly 52, not over, we can find the percent by dividing 100 by the number of times 13 went into 52!
Since it went in 4 times, we will get the answer with this final equation:
100 / 4 = 25.
Therefore, the answer is 25%!
Mrs. Ming had $150.55 in her checking account. She wrote a check for the amount of $79.82. What is the new balance in Mrs. Ming’s checking account?
Answer: $70.73
Step-by-step explanation:
Conjecture: If a shape has _____ it can be folded on a line or reflected across a line so that its two parts are exactly the same ____and shape.
Answer: symmetry, size
Step-by-step explanation:
In an average year, worldwide, there are 134 earthquakes of magnitude 6 on the Richter scale. If next year is predicted to be an exceptional year, and the number of earthquakes of magnitude 6 is expected to increase by 44%, about how many earthquakes of magnitude 6 can be expected? (Round your answer to the nearest whole number.)
[tex]134+0.44\cdot134=192.96\approx193[/tex].
We can expect about 193 earthquakes.
Hope this helps.
Write a numerical expression for the verbal phrase. The quotient of 81 and 3.
A. 3÷81
B. 27
C. 81÷3
D.81×3
Answer:
27
Step-by-step explanation:
a and c is the answer.
as you have studied in lower standard.
The altitude of Mt. Everest is 884800cm. Find its height in meter
Answer:
8848 meters
Step-by-step explanation:
[tex]1 \: cm = 0.01\:m\\884800 = x \: m\\\\x = 884800\times 0.01\\\\x = 8848\:meters[/tex]
Answer:
The meter is the international system unit of length, here there are some conversions:
1km = 1000 meters1 hm = 100 meters1 dam = 10 meters1 m = 10 dm1 m = 100 cm1m = 1000 mmSo we know 100 cm are equal to 1 meter and we have to pass the 884800 centimeters to meters.
If 1 meter is equal to 100 centimeters, to pass from meters to centimeters we multiply by 100 and from centimeters to meters we divide by 100.
In this case, we need to pass from cm to m, so we divide by 100 the altitude:
884800/100 = 8848 meters
the Red Line in the figure is an altitude of triangle hjl. Using right angle trig and properties of equality, y sin L = x = z sin H, write the Law of Sines for this triangle
Answer:
[tex]\Large \boxed{\mathrm{\bold{C}}}[/tex]
Step-by-step explanation:
[tex]\sf \displaystyle sin(\theta) =\frac{opposite}{hypotenuse }[/tex]
[tex]\sf \displaystyle sin(L) =\frac{x}{y}[/tex]
[tex]\sf \displaystyle sin(H) =\frac{x}{z}[/tex]
[tex]\displaystyle \sf \frac{sinL}{z} =\frac{sinH }{y}[/tex]
[tex]\displaystyle \sf \frac{\frac{x}{y} }{z} =\frac{\frac{x}{z} }{y}[/tex]
Simplifying the expression.
[tex]\sf \displaystyle \frac{x}{yz } = \frac{x}{yz} \ (true)[/tex]
[tex]\displaystyle \sf \frac{z}{sinL} =\frac{y}{sinH}[/tex]
[tex]\displaystyle \sf \frac{z}{\frac{x}{y}} =\frac{y}{\frac{x}{z}}[/tex]
Multiplying both sides by x.
[tex]\sf yz=yz \ (true)[/tex]
Answer:
d
Step-by-step explanation:
The law of Sines applied to a Δ ABC is
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
Using this in Δ HJL
[tex]\frac{z}{sinL}[/tex] = [tex]\frac{y}{sinH}[/tex] → (b)
Which may be expressed in reciprocal form as
[tex]\frac{sinL}{z}[/tex] = [tex]\frac{sinH}{y}[/tex] → (a)
Thus the law of Sines can be expressed as either (a) or (b)
Given the equation y = x – 2, you substitute 3 for y. Check all true statements below.
Answer:
its a, c and e and 2020 edge.
Which is the ratio of the number of months that begin with the letter N to the total number of months in a year?
O i to11
O i to 12
0 11 to 1
O 12 to 1
Answer:
I to 12
Step-by-step explanation:
1 month (November) and 12 monthes
Answer: 1 to 12
explanation: i got it right on the test
X is = to 1/5 of the sum of 84.7,-27.8 and 82 what is the number
Answer:
27.78
Step-by-step explanation:
x=(84.7+(-27.8)+82)÷5
x=138.9÷5
x=27.78
Write 68.94 in word form
Answer:
sixty-eight and ninety-four hundredths
Step-by-step explanation:
Answer: sixty eight and ninety four hundredths
Step-by-step explanation:
60 = sixty
8 = eight
. = decimal (and)
.9 = nine tenths
.04 = four hundredths
so....
sixty eight and ninety four hundredths
Find the distance betweenweem the two points rounding to the nearest tenth (9,9) and (6,5)
Answer:
5Step-by-step explanation:
[tex](9,9) =(x_1,y_1)\\(6,5)=(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\[/tex]
Plug-in the values into the equation
[tex]d = \sqrt{(6-9)^2+(5-9)^2}\\ \\d = \sqrt{(-3)^2+(-4)^2}\\ \\d = \sqrt{9+16}\\ \\d = \sqrt{25} \\\\d =5[/tex]
wrie an exponential expression that is equivalent to 4 to the 14 power times -2 please help now!!!!!
Answer:
-2(4)¹⁴
Step-by-step explanation:
times -2
4 to the 14th power = (4)¹⁴
Answer:
(4^14) * -2 =
268,435,456 * -2 = -536,870,912
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 26 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.
Answer:
(x, y, z) = (30°, 62°, 88°)
Step-by-step explanation:
The given relations are ...
x + y + z = 180 . . . . sum of angle measures is 180°
y + z = 5x . . . . . . . . sum of 2nd and 3rd is 5 times the first
z = y + 26 . . . . . . . . third is 26 more than second
__
We can use the third equation to substitute into the second equation.
y + (y +26) = 5x
2y +26 = 5x
We can multiply the first equation by 5, then substitute for 5y and for z.
5x +5y +5z = 5(180)
(2y +26) +5y +5(y +26) = 900
12y + 156 = 900 . . . simplify
y +13 = 75 . . . . . . . . divide by 12
y = 62
z = y + 26 = 62 +26 = 88
y+z = 5x = 62 +88 = 150
x = 150/5 = 30
The angle measures are (x, y, z) = (30°, 62°, 88°).
Answer:
x=30 y=62 z=88
Step-by-step explanation:
The solution is therefore (30,62,88).
NEED HELP ASAP FOR THIS MATH . Consider the statement.
*The difference of two rational numbers is an irrational number.*
Is the statement true or false? Justify your answer.
true; The difference of two rational numbers is a rational number, which is also an irrational number since all rational numbers are also irrational
numbers.
o false; Rational numbers are closed under subtraction: 4 - 3 = 1.
true; The difference of any two real numbers is an irrational number.
false; Only square roots can result in irrational numbers. Subtraction of any two real numbers results in a rational number.
Answer:
false; Only square roots can result in irrational numbers. Subtraction of any two real numbers results in a rational number.
Step-by-step explanation:
Rational numbers in any operation with a rational number except square rooting will result in a rational number.
HELP I NEED THIS WITHIN 2 MINUTES AB if AC = 13.2 And BC = 6.8
Answer:
AB = 6.4
Step-by-step explanation:
Assuming that AB + BC is AC, then we can say the following:
AB + BC = AC
AB + 6.8 = 13.2
AB + 6.8 + -6.8 = 13.2 + -6.8
AB = 6.4
Cheers.