Answer:
5
Step-by-step explanation:
Let the number of the kitchen clock sold =a
Let the number of the cuckoo clock sold =b
Let the number of the two-foot high grandfather clocks sold =c
The new saleswoman sold at least two of each of the three models.
Therefore:
[tex]a\geq 2\\b \geq 2\\c \geq 2[/tex]
In all, she collected $300 from selling these models alone
17a+31b+61c=300
17(2)+31(2)+61(2)=218
300-218=82
Next, we try to express the remainder (82) in terms of 17, 31 and 61
82=17(3)+31
Therefore, she sold:
5 kitchen clocks3 cuckoo clocks 2 two-foot high grandfather clocksShe sold 5 $17 clocks.
CHECK:
17(5)+31(3)+2(61)=$300
make x the subject of m=n + x/p
Answer:
[tex] \boxed{x = p(m - n)} [/tex]
Step-by-step explanation:
[tex] = > m = n + \frac{x}{p} \\ \\ = > m = (n \times \frac{p}{p} ) + \frac{x}{p} \\ \\ = > m = \frac{pn}{p} + \frac{x}{p} \\ \\ = > m = \frac{pn + x}{p} \\ \\ = > mp = pn + x \\ \\ = > x + pn = pm \\ \\ = > x = pm - pn \\ \\ = > x = p(m - n)[/tex]
Anna bought a backpack for $36.
She also bought a lunch box for $15.
Which is the total amount of money Anna spent?
Answer:
Anna spent $51 in all.
Step-by-step explanation:
36+15=51
Answer:
$51
Step-by-step explanation:
Anna bought two items: a backpack and a lunch box. If we want to find the total amount of money Anna spent, we have to add the price of the backpack and the price of the lunchbox.
price of backpack+price of lunchbox
The backpack cost $36 and the lunchbox cost $15
$36+$15
Add 36 and 14
$51
Anna spent $51 in total
What is the area of the triangle shown below?
Answer:B: 40 squ. Units!
Step-by-step explanation:
Hope this helps
Answer:
40sq. Units
Step-by-step explanation:
I just did it
If f(x)= x2 + 7; Find x if f(x)= 23
Answer:
x = 4, -4
Step-by-step explanation:
f(x)= x^2 + 7
f(x) =23
23 = x^2+7
Subtract 7 from each side
23-7 = x^2 +7-7
16 = x^2
Take the square root of each side
±sqrt(16) = sqrt(x^2)
±4 = x
There are 15 students in a kindergarten class. If each kindergartner can have only one task, in how many ways can the teacher assign out
the following tasks: line leader, wipe down the tables, pass out papers, water the plants, erase the board?
The number of ways can the teacher assign out is 75.
Given that,
There are 15 students in a kindergarten class.The following tasks: line leader, wipe down the tables, pass out papers, water the plants, erase the board.Based on the above information, the calculation is as follows:
[tex]= 15\times 5[/tex]
= 75
Therefore we can conclude that The number of ways can the teacher assign out is 75.
Learn more: brainly.com/question/17429689
solve the system of equations below. x-2y=3 2x-3y=9
Answer: x = 9, y = 3
Step-by-step explanation:
9 - 2(3) = 3
9 - 6 = 3
2(9) - 3(3) = 9
18 - 9 = 9
Answer:
x=9, y= 3
Step-by-step explanation:
x-2y=3
2x-3y=9
Multiply the first equation by -2
-2x +4y = -6
Add this to the second equation
-2x +4y = -6
2x-3y=9
------------------
y = 3
Now find x
x -2y =3
x -2(3) = 3
x-6 = 3
Add 6 to each side
x = 9
In the diagram, ABCD is a part of a right angled triangle ODC. If /AB/= 6 cm,
/CD/= 15cm, BC/= 8 cm, ZBCD = 90° and AB//DC, calculate, correct to 1 decimal
place, the:
2 points
1. height of triangle ODC;
Your answer
2 points
2. perimeter of triangle ODC.
Answer:
1) 13.3 cm
2) 48.3 cm
Step-by-step explanation:
1) Right angled triangle ODC and right angled triangle OAB are similar because AB//DC. The two triangles have the same proportion and are equiangular (having equal angles) but have different lengths.
Let OB = x, OC = OB + BC = x + 8
Therefore:
[tex]\frac{OC}{OB}=\frac{DC}{AB} \\\frac{x+8}{x}=\frac{15}{6}\\15x=6(x+8)\\15x=6x+48\\15x-6x=48\\9x=48\\x=5.3\ cm[/tex]
The height of triangle ODC = OC = x + 8 = 5.3 + 8 = 13.3 cm
2) Using Pythagoras theorem:
OD² = OC² + DC²
OD² = 13.3² + 15²
OD² = 401.89
OD = √401.89 = 20 cm
2) perimeter of triangle ODC = OD + OC + DC = 20 + 13.3 + 15 =48.3 cm
What is the radius of the garden?
Step-by-step explanation:
Area of circle= Πr²
Πr² = 132² m
r²=132²/Π m
=5546.23m
r =√5546.23
=74.473 m
Carmen is dividing her rectangular garden with a diagonal fence. The length of the garden is 11 feet and the diagonal is 19 feet. Write an equation that can be used to find the width of the garden. Then find the width of the garden. Round to the nearest tenth, if needed.
Answer:
Equation: 19^2 - 11^2 = width
Step-by-step explanation:
use Pythagorean theorem to find the width.
so, 19^2 - 11^2 = 361-121= 240.
so width = square root of 240
Answer:
19^2 - 11^2 = width
Step-by-step explanation:
Using the following image, solve for x x .
Answer: x= 6
Step-by-step explanation:
2 +x + 1 = 2x -3
1x + 3 = 2x -3
+3 +3
1x + 6 =2x
-1x -1x
6= 1x
x= 6
What is the simplified expression in standard form
Answer:
[tex] \boxed{\sf - 2 {p}^{2} - 11p - 35} [/tex]
Step-by-step explanation:
[tex] \sf \implies - 2 {(p + 4)}^{2} - 3 + 5p \\ \\ \sf \implies - 2( {p}^{2} + 2(p)(4) + {4}^{2} ) - 3 + 5p \\ \\ \sf \implies - 2( {p}^{2} + 8p + 16) - 3 + 5p \\ \\ \sf \implies (( - 2) \times {p}^{2} ) + (( - 2) \times 8p) + ( ( - 2) \times 16) - 3 + 5p \\ \\ \sf \implies (- 2 {p}^{2} ) + ( - 16p ) + (- 32) - 3 + 5p \\ \\ \sf \implies - 2 {p}^{2} - 16p - 32 - 3 + 5p \\ \\ \sf \implies - 2 {p}^{2} + (- 16p + 5p) + ( - 32 - 3) \\ \\ \sf \implies - 2 {p}^{2} - 11p - 35[/tex]
what is 1.8 increased by 10 to make a new mean
Answer:
18
Step-by-step explanation:
1.8*10= 18/10*10=180/10=18
the value of 2(cos square 45 + tan square 60) is
Answer:
7
Step-by-step explanation:
Using the exact values for
cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] and tan60° = [tex]\sqrt{3}[/tex] , then
2(cos²45° + tan²60°)
= 2( ([tex]\frac{1}{\sqrt{2} }[/tex] )² + ([tex]\sqrt{3}[/tex] )² )
= 2( [tex]\frac{1}{2}[/tex] + 3 ) ← distribute
= 1 + 6
= 7
please help me
consult the image above
Answer:
if we assume that
tan = opp/adj
then we can find the hypotenus by using phytagoras law
h² = o² + a²
h² = (m-1)² + (2√m)²
h² = m² - 2m + 1 + 4m
h² = m² + 2m + 1
then we factorized become
h² = (m + 1)²
h = m+1
so for sin x = opp/hyp = (m-1)/(m+1)
hope this can help you.
If a quadrilateral has 3 angles measure 60,45 and 100; find the measure of the fourth angle
Answer:
The fourth angle is 155
Step-by-step explanation:
The sum of the angles of a quadrilateral are 360 degrees
60 + 45 + 100 + x = 360
Combine like terms
205+x = 360
Subtract 205 from each side
205+x-205 = 360-205
x =155
Answer:
155
Step-by-step explanation:
The budget for Ohio is 69.1 billion with a population of 11.69 million residents. Round all scientific answers with two decimals with no spaces. Example: 1.23x10^4 or 1.23E4 Write the budget in scientific notation. 1 point Debt: Write the population in scientific notation. 1 point Population: Calculate the Budget Per Capita and write your answer in standard notation. Round to a whole number. 2 points Use the budget per capita in a sentence explaining what this value means. 4 points
Answer:
Step-by-step explanation:
Hello,
This question requires us to convert numbers from standard form to scientific form. This can easily be done using a calculator or just writing the number down then put a decimal point after the first digit and count the rest which would be raised to the power of that number.
Budget = 69.1 billion
Converting this to scientific form = 6.91×10¹⁰
Population = 11.67 million
Converting this to scientific form = 1.167×10⁷
Budget per capita refers to budget allocated to each individual in the population.
Budget per capita is used to compare economic indices or indicators of various countries with different population sizes.
Budget per capita = budget / total population
Budget per capita = 6.91×10¹⁰ / 1.169×⁷
Budget per capita = 5911.03
What this implies is that for each individual living in the state of Ohio, the amount budgeted for that particular period (mostly in a given year) is 5911.03
HELPP PLZZ
Choose the correct graph of the given system of equations.
y − 2x = −1
x + 3y = 4
Answer:
The one that says: One solution: (-1,1)
Step-by-step explanation:
y=2x-1
3=-1/3x+4/3
Find the distance between (16,12) and (0,0)
Answer:
3/4 using equation y2-y1/x2-x1
Step-by-step explanation:
Use the equation y2-y1/x2-x1
x1, y1 x2, y2
(16,12) (0,0)
0-12/0-16= -12/-16= 3/4
Identify the diameter if given the radius and the radius if given the diameter of given circles: 7 cm 25 cm 28 cm 35 cm 100 cm 140 cm Radius = 70 cm Radius = 14 cm Diameter = 14 cm Diameter = 50 cm Radius = 70 cm Radius = 14 cm Diameter = 14 cm Diameter = 50 cm
Answer:
Radius. 7, 25, 14, 35, 50, 70
Diameter 14, 50, 28, 70, 100, 140
Please answer this correctly
Answer:
4 days
Step-by-step explanation:
there are 8 pints in a gallon
Answer:
4 days.
please see the attached picture for full solution solution.
hope it helps
good luck on your assignment
4/5x(-3/7)-3/8+6/5x(-3/7
Find using suitable property
Answer:
-1 13/56
Step-by-step explanation:
[tex] \frac{4}{5} \times ( - \frac{ 3}{7} ) - \frac{3}{8} + \frac{6}{5} \times ( - \frac{3}{7} ) = \\ = - \frac{12}{35} - \frac{3}{8} + \frac{6}{5} \times ( - \frac{3}{7} ) \\ = - \frac{12}{35} - \frac{3}{8} + ( - \frac{18}{35} ) \\ = - \frac{96}{280} - \frac{105}{280} - \frac{144}{280} \\ = - \frac{201}{280} - \frac{144}{280} \\ = \frac{345}{280} = - 1 \frac{65}{280} \\ = - 1 \frac{13}{56} [/tex]
#I_hope_this_helps
#save_earth
#stay_at_home
#keep_spirit
what we will call the complete path of the circle
Answer:
True.
Step-by-step explanation:
The circumference is the perimeter of a circle. The complete path around the circle is called the circumference.
Answer:
True
The distance around the circle makes up the circumference.
The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm?
Answer:
Step-by-step explanation:
If the longest side is 6.2 cm, and it is twice the length of the shortest, then we can write an equation as 2x=6.2, where x is the short side length.
Then, since a triangle has 3 sides, the medium side length is 14.5-6.2-x.
Hope that helped,
-sirswagger21
What is the measure of FIG?
[tex]the \: answer \: is \: 24 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
Please help! Correct answer only please! I need to finish this assignment by today.
On her recent free-throw attempts, Norma made 24 shots and missed 58 shots. What is the experimental probability that Norma will miss her next free-throw attempt?
Simplify your answer and write it as a fraction or whole number.
P(miss) =
Answer:
58 / (24 + 58) = 29/41
Step-by-step explanation:
how do you Solve. 21r<7
Answer:
r < 1/3
Step-by-step explanation:
21r<7
Divide each side by 21
21r/21<7/21
r < 1/3
Answer:
[tex] r < \frac{1}{3} \\ [/tex]
Step-by-step explanation:
[tex]21 \: r < 7 \\ \frac{21 \: r}{21} < \frac{7}{21} \\ r < \frac{1}{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
How many fourths are in 2?
Answer:
2 wholes with 4 fourths in each whole, so there are 2\times 4 fourths in 2.
Step-by-step explanation:
-In the term, 3x^5 , the number 5 is called ?
Answer:
Step-by-step explanation:
power i guess
Answer:
Exponent, Power or Indices
Step-by-step explanation:
The number is called Exponent, Power or Indices
What is the length of the side opposite ZB?
3 units
4 units
5 units
6 units
Answer: 4 units
Step-by-step explanation:
The side that is opposite of B would be the side that is across from B
3 is across from A
5 is across from C
4 is across from B
The question is an illustration of right triangles
The length of the side opposite angle B is 4 units
From the figure, we can see that the triangle is a right triangle, with the following angles
Angle B
Angle A
Angle C
The triangle is right-angled at angle C.
From the figure, the length opposite angle B is length AC.
Where
AC = 4
Hence, the length of the side opposite angle B is 4 units
Read more about isosceles right triangle at:
https://brainly.com/question/20447308
I need help on this can someone help me thank you it’s geometry:)
=========================================================
How to get this answer:
The largest angle ABD is 90 degrees because of the small little angle square marker. Another clue is the notation [tex]BA \perp BD[/tex]. The upside down T symbol means "perpendicular", showing the lines BA and BD form a 90 degree angle. The pieces of the angle (ABC = 4x and CBD = 5x) must add up to 90 degrees, or else they wouldn't fit like a jigsaw puzzle.
--------
(angle ABC) + (angle CBD) = angle ABD
4x + 5x = 90
9x = 90 ... combining like terms
9x/9 = 90/9 ... dividing both sides by 9
x = 10
-------
If x = 10, then 4x = 4*10 = 40, which is the measure of angle ABC
If x = 10, then 5x = 5*10 = 50 is the measure of angle CBD
We see that ABC+CBD = 40+50 = 90
