David and Lucy have sweets in the ratio 4:7. Lucy has
27 more sweets. How many does David have?
Answer:
David share is 36 sweets
Step-by-step explanation:
let Lucy share be x
let David share be y
Lucy has 27 more
x=y+27
total sweet is x+y
y+27 +y= 2y+27
total ratio = 4+7=11
David share=
[tex]y = \frac{4}{11} \times (2y + 27)[/tex]
[tex]11y = 4(2y + 27)[/tex]
[tex]11y = 8y + 108[/tex]
[tex]11 y- 8y = 108[/tex]
[tex]3y = 108[/tex]
y=108/3= 36
2. What is the value of the number in the thousandths place of 1079.483?
Answer:
3
Step-by-step explanation:
Answer:
9000
Step-by-step explanation:
Find the length of the third side. If necessary, round to the nearest tenth.
15
8.
Answer:
The third side is 17
Step-by-step explanation:
To find the hypotenuse, you square the legs of the right triangle and add the values together, and then take the square root of their sum. [tex]\sqrt{15^{2} + 8^{2} }[/tex] = [tex]\sqrt{225 + 64}[/tex] = [tex]\sqrt{289}[/tex] = 17
Compare the two sets of data. Who gets more sleep? Why?
Jason, because he gets higher median hours of sleep
Jason, because he has less variability in sleep hours
Mitch, because he gets higher median hours of sleep
Mitch, because his maximum hours of sleep were greater than Jason’s maximum
Answer:
C. Mitch, because he gets higher median hours of sleep
Step-by-step explanation:
On a certain map 4 inches represents 26 miles. What distance does 11 inches represent?
The statement "a>2 and a <5" is true when a is equal to what?
A.) 3
B.) 5
C.) 2
D.) 10
Answer:
A
Step-by-step explanation:
As 2 < a < 5, only option A suffices this condition, because 2 < 3 < 5.
Write the equation of the line, in slope intercept form, through the following two points.
Answer:
y=[tex]\frac{5}{8}x[/tex]
Step-by-step explanation:
So in this equation you have to do this with the points to get the slope
M= [tex]\frac{y2-y1}{x2-x1}[/tex]
M is the slope so using this eqaution will give you the equation.
In ΔRST, r = 52 cm, s = 55 cm and ∠T=48°. Find the length of t, to the nearest centimeter.
Answer:
44
Step-by-step explanation:
delta math
The length of t is approximately 43.60 cm, to the nearest centimeter.
What are the properties of Triangle?The properties of the triangle are:
1. The sum of all the angles of a triangle (of all types) is equal to 180°.
2. The sum of the length of the two sides of a triangle is greater than the length of the third side.
3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.
To find the length of side t in triangle RST, we can use the law of cosines, which relates the lengths of the sides and the cosine of one of the angles in a triangle:
[tex]c^2 = a^2 + b^2 - 2ab cos(C)[/tex]
where c is the length of the side opposite the angle C, and a and b are the lengths of the other two sides.
In this case, we know that:
r = RS = 52 cm
s = ST = 55 cm
∠T = 48°
So, we want to find the length of t, which is the side opposite the angle T.
Let's call the length of t "c". Then, applying the law of cosines, we have:
[tex]c^2 = r^2 + s^2 - 2rs cos(T)\\\\c^2 = (52 cm)^2 + (55 cm)^2 - 2(52 cm)(55 cm) cos(48^0)\\\\c^2 = 1901.57[/tex]
Taking the square root of both sides, we get:
c= 43.60 cm
Therefore, the length of t is approximately 43.60 cm, to the nearest centimeter.
Learn more about triangles here:
https://brainly.com/question/2773823
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1 bag of pretzels cost four dollars. Five bags of pretzels cost $12.00. Which has the lower unit price??
Answer:
The 5 bags of pretzels.
Step-by-step explanation:
Because if you were to buy 5 individual bags you would end up paying $20.00, instead of $12.00
Answer:
The second option
Step-by-step explanation:
In order to find the unit price of each, consider the quotient of amount of money per bag:
Case 1:
$4/ 1 bag
Case2:
$12 / 5 bags = $2.4 / 1 bag
Therefore, the second option is the one with lower unit price.
HELP AGAIN PLEASE 20 POINTS What methods can be used to solve a system of equations and when would you use each? Be sure to include systems with nonlinear equations.
Answer:
The three ways to solve a system of equations are substitution, elimination, and graphing. You can use these methods to solve any system of equations, it just depends on which method you use.
Step-by-step explanation:
In the substitution method, you get one variable isolated on one side of an equation, then use that equation to substitute the variable with what it's equal to into the second equation to solve the equation.
In the elimination method, you get all the variables in your equations together one side, and the constant on the other. Then, multiply or divide one or two equations to get one variable with the same coefficient for both equations (be sure to multiply or divide both sides to each equation), and add or subtract the equations together to get rid of that variable (make sure to add the left sides of the equations together and the right sides of the equations together, no the opposite!) and solve the equation.
In the graphing method, you solve for y in each equation, graph both equations on a coordinate plane, and find the point of intersection for both lines to solve the equation (For example, if the point of intersection is (2, 7), the answer to your equation would be X = 2 and Y = 7).
1. Which figure would you have used to make the Escher‐like tessellation shown below?
Answer:
I'm pretty sure the answer is B.
Step-by-step explanation:
Hope this helps u out!
Please help me, I will give brainliest, I am struggling badly.
Answer:
Slope Number 1 is Harry.
Step-by-step explanation:
y = -1/2 + 30
-1 being one less exercise to complete
2 being the 2 minutes spent on each exercise
and 30 being the number of exercises
X^2- 2x - 54 = 0
I need the answer for this please
x = -6, 8
Find the values of x by factoring, getting
(x - 8)(x + 6) = 0
Answer:
x = -6, 8
Step-by-step explanation:
Which of the following is a source of income?
A.FICA
B.Investment
C.Timeshare
D.House purchase
Answer:
B. Invesment
Correct me if You want If its wrong.
What is the area of a closet that is 6 feet wide and 10
4
110 feet long?
A 642 square feet
B 60 square feet
C 45 square feet
D 16, square feet
WILL GIVE BRAINLIEST TO BEST ANSWERED
Answer:
B
Step-by-step explanation:
Hope this helps
Answer:
It would be B
Step-by-step explanation:
Hope this helps
A local park is renting canoes. Canoe rental costs $4.75 per hour. If you want to spend $9.50, how
many more hours (h) can you rent the canoe? *
Help
Answer:
I would say 2 hours
n - 89 > 171. what inequality below true. 1. n=82. 2. n=105. 3. n=268. 4. n=300. 5. n=312
Answer:
1. Assume the contrary, namely that √2 + √3 + √5 = r, where r is a rational number.
Square the equality √2 + √3 = r − √5 to obtain 5 + 2
√6 = r2 + 5 − 2r
√5. It follows
that 2√6 + 2r
√5 is itself rational. Squaring again, we find that 24 + 20r2 + 8r
√30
is rational, and hence √30 is rational, too. Pythagoras’ method for proving that √2 is
irrational can now be applied to show that this is not true. Write √30 = m
n in lowest
terms; then transform this into m2 = 30n2. It follows that m is divisible by 2 and because
2( m
2 )2 = 15n2 it follows that n is divisible by 2 as well. So the fraction was not in lowest
terms, a contradiction. We conclude that the initial assumption was false, and therefore
√2 + √3 + √5 is irrational.
Step-by-step explanation:
Gianna had a canister with 6 1/2 pounds of sugar. She used 2 3/4 pounds of sugar to make cookies. How much sugar is left in the canister?
A. 3 3/4
B. 4 1/4
C. 4 3/4
D. 17 7/8
simplify 28-(8+3)X(4-2)
Answer:
4
Step-by-step explanation:
hope it helps you in some way
simplify 28-(8+3)X(4-2)
Answer:
The answer is in the picture above:)
Step-by-step explanation:
1st, Add the number (calculate) result is 28-11x×(4-2) And Subtract the number the result is 28-11x×2. 2nd, use the commutative property to reorder the terms the result is 28-2×11x
Hope it helps:)
What transformation is happening?
Answer:
Reflection and Dilation
Step-by-step explanation:
These two make the most sense for this.
Hope it helps and is correct!
2. What is the composition f(g(x)) and the inverse of the composite (fog)
given f(x) = 2x + 3 and g(x) = x-5?
Answer:
f(g(x)) = 2x - 7
g(f(x)) = 2x - 2
Step-by-step explanation:
basically, you just want to plug in the g(x) function wherever you see an x in the f(x) function
f(g(x)) = 2(x - 5) + 3
= 2x - 10 + 3
= 2x - 7
the inverse function is doing the same thing but plugging in f(x) wherever you see an x in the g(x) function
g(f(x)) = (2x + 3) - 5
= 2x + 3 - 5
= 2x -2
The difference of two numbers is 15. Five times the smaller number is the same as 9 less than twice the larger number. Find the numbers.
Answer:
Step-by-step explanation:
"The difference of two numbers is 15."
x-y = 15
x>y
"Five times the smaller number is the same as 9 less than twice the larger number."
5y = 2x-9
y = x-15
substitution
5(x-15) = 2x-9
5x-75 = 2x-9
3x = 66
x = 22
y = x-15 = 7
Glenda sells coffee for 50¢ and empanadas for $2 at the park on the weekends. One Saturday she
sold 90 items and made $105. How many coffees did she sell?
Answer:
50 coffees
(and 40 empanadas)
Step-by-step explanation:
x= coffee y=empanadas
.5x+2y=105
x+y=90
Isolate a variable
x+y=90
x-90= -y
-x+90=y
Plug this in for y in the other equation
.5x+2(-x+90)=105
Solve for x
.5-2x+180=105
-1.5x= -75
x=50
we can stop here but that's lame so let's figure out how many empanadas she sold
we know that x=50 so we can just plug this into either beginning equation and solve for y
50+y=90
y=40
Which arithmetic sequence has a common difference of -21?
{1,245; 1,224; 1,203; 1,182; …}
{32, 20, 8, -4, …}
{873, 894, 915, 936, …}
{1,563; 1,587; 1,611; 1,635; …}
WILL GIVE BRAINLIEST!!!!
Answer:
first one
just subtract 21 from each number
Answer:
C - {873, 894, 915, 936, …}
Step-by-step explanation:
Difference means subtraction. So, subtract -21 from the number to get your next value.
1245 - (-21) = 1266 So, A is not the answer
32 - (-21) = 53 So, B is not the answer.
873 - (-21) = 894 So, C is the answer.
1563 - (-21) = 1584 So, D is not the answer.
To double check, subtract -21 from the other numbers too.
873 - (-21) = 894
894 - (-21) = 915
915 - (-21) = 936
and so on...
This matches up with the list of numbers on option C so it it correct.
I hope this helps you Cheers!
There are 37 oak Trees Correctly in the park park workers will Plant 27 more oak Trees today how many oak Trees will The park have when The workers are finished
Answer:
64
Step-by-step explanation:
37+27=64
A rectangle has an area of 48 cm² and a perimeter of 38 cm. What are the dimensions of the rectangle?
A. 1 cm X 48 cm
B. 2 cm x 24 cm
C. 3 cm x 16 cm
D. 4 cm x 12 cm
E. 6 cm x 8 cm
Answer:
c
Step-by-step explanation:
3x16=48
3+16+3+16=48
pls brainliest
Complete the tables of values?
Plz help I’m so stuck on this
Answer:
d=1
e=4/9
f=16/81
Step-by-step explanation:
Substitute x in the right column with the values in the left column to find d, e, and f.
Answer:
d = 1
e = 4/9
f = 16/81
Step-by-step explanation:
d is 1 because any term raised to the power of zero equals one
e: (2/3)² = 2²/3² = 4/9
f: (2/3)^4 = 2^4/3^4 = 16/81
The width of a rectangle, in centimeters, is 17 less than 4 times its length, in centimeters. The area
of the rectangle is 15 square centimeters. What is the width, in centimeters, of the rectangle?
Answer:
Step-by-step explanation:
W = 4L-17
LW = 15
L(4L-17) = 15
4L^2-17L-15= 0
L = [17 ±√(17^2-4(4)(-15))]/[2(4)] = 5,-3/4
-3/4 is an extraneous solution
L = 5 cm
W = 4L-17 = 3 cm
You might need:
Calculator
y
3+
2-
2
4 -3 -2
-1
1
2
-2
-3
What is the slope of the line?
Answer:
[tex]\displaystyle m=\frac{1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian PlaneCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (5, 0)
Point (-4, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-3-0}{-4-5}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-3}{-9}[/tex][Fraction] Simplify: [tex]\displaystyle m=\frac{1}{3}[/tex]