Answer:
Mala had 14 sweets at the start.
Step-by-step explanation:
7 x 2 = 14
To check, 14/2 = 7. (Dividing by 2 is the same as multiplying by 1/2)
Point T is on line segment SU. Given ST = 4x – 4, TU = 4x – 10, and
SU = 5x + 1, determine the numerical length of TU.
Answer: TU =
To wash a window that is 4 meters off the ground, Rafi leans a 5-meter ladder against the side of the building. To reach the window, how far away from the building should Rafi place the base of the ladder?
Answer:
Base of the ladder is 3 meters away from the building.
Step-by-step explanation:
Let's use Pythagoras theorem to solve.
Pythagoras theorem says,
[tex]a^{2} +b^{2} =c^{2}[/tex]
Here let horizontal distance is "a''
Vertical distance of window is 4 m
So, b=4
The Rafi leans 5 m ladder against the wall. So, c=5.
[tex]a^{2} +4^{2} =5^{2}[/tex]
Simplify it
[tex]a^{2} +16=25[/tex]
Subtract both sides 16
[tex]a^{2} =9[/tex]
Take square root on both sides
a=±3
So, base of the ladder is 3 meters away from the building.
20 laborers can complete the construction of building in 24 days .In how many days
would 16 laborers complete the construction?
7. In a survey of 468 tourists who visited Nepal during visit Nepal 2020 it was found that
275 visited Rara ,300 visited Bardiya and 56 tourist do not visit both the place .
(i) How many tourists were there who visited Rara as well as Bardiya ?
(ii) Represent the above information in venn diagram.
8. Two numbers are in the ratio 7:5 .When 10 is subtracted from each term their ratio
becomes 3:2.Find the numbers.
Answer:
20=24
8. =? Cross multply
a) 7°
c) 26°
b) 64°
d) 83°
Answer:
x = 26
Step-by-step explanation:
sin x =4/9
Take the inverse sin of each side
sin ^-1 (sin x) = sin^-1(4/9)
x=26.38779
To the nearest degree
x = 26
Use the product of powers property to simplify the expression -2x^3y4x^2y^3
Answer:
= -8x^5 y^4
Step-by-step explanation:
Multiply the numbers: -2 . 4 = -8
-2x^3 yx^2 y^3
Simplify x^3 x^2 : x^5
= -8x^5yy^3
Simplify yy^3 : y^4
= -8x^5 y^4
Aaron, Blaine, and Cruz are solving the equation 4 7 (7 − n) = −1. Aaron started his solution by multiplying both sides of the equation by 7 4 . Blaine started by using the distributive property to multiply 4 7 by both 7 and −n. Cruz started by dividing both sides of the equation by 4 7 .
Answer:
D. All three chose a valid first step toward solving the equation.
Step-by-step explanation:
Aaron, Blaine, and Cruz are solving the equation 4/7 (7 − n) = −1. Aaron started his solution by multiplying both sides of the equation by 7/4 . Blaine started by using the distributive property to multiply 4/7 by both 7 and −n. Cruz started by dividing both sides of the equation by 4/7 .
Which of the following is true?
A. Blaine and Cruz made an error in picking their first steps.
B. Cruz made an error in picking his first step.
C. All three made an error because the right side equals -1.
D. All three chose a valid first step toward solving the equation.
Given:
4/7(7 - n) = -1
Aaron:
4/7(7 - n) = -1
Multiple both sides by 7/4
4/7(7 - n) * 7/4 = -1 * 7/4
7 - n = -7/4
- n = -7/4 - 7
- n = (-7-28)/4
- n = -35/4
n = 35/4
Blaine:
4/7(7 - n) = -1
4/7(7 - n) × 7 = -1 × 7
4(7 - n) = -7
28 - 4n = -7
-4n = -7 - 28
- 4n = - 35
n = -35/-4
n = 35/4
Cruz:
4/7(7 - n) = -1
Divide both sides by 4/7
4/7(7 - n) ÷ 4/7 = -1 ÷ 4/7
4/7(7 - n) × 7/4 = -1 × 7/4
7 - n = -7/4
- n = (-7-28)/4
- n = -35/4
n = 35/4
D. All three chose a valid first step toward solving the equation.
Answer:
D-All three chose a valid first step toward solving the equation.
Step-by-step explanation:
Hope I Helped
To avoid the problem of having access to tables of the F distribution with values for the lower tail when a one-tailed test is required, let the _____ variance be the numerator of the test statistic. a. sample variance from the population with the larger hypothesized b. larger sample c. sample variance from the population with the smaller hypothesized d. smaller sample
Answer:
The answer is "Option b".
Step-by-step explanation:
The significant variance shows that the numbers in the set are far from the mean and far from each other as well. Alternatively, a little variation implies the reverse. The variance value of 0, on either hand, shows that all values inside a set of numbers are the same. If you need yet another test, use a greater sample variance as the numerator of the test statistic to avoid having to reference tables of the F distribution that primary device from of the lower tail.
3x + ky = 8
X – 2ky = 5
are simultaneous equations where k is a constant.
b) Given that y = 1/2 determine the value of k.
Answer:
(a): x is 3 and ky is -1
(b): k is -2
Step-by-step explanation:
Let: 3x + ky = 8 be equation (a)
x - 2 ky = 5 be equation (b)
Then multiply equation (a) by 2:
→ 6x + 2ky = 16, let it be equation (c)
Then equation (c) + equation (b):
[tex] { \sf{(6 + 1)x + (2 - 2)ky = (16 + 5)}} \\ { \sf{7x = 21}} \\ { \sf{x = 3}}[/tex]
Then ky :
[tex]{ \sf{2ky = 3 - 5}} \\ { \sf{ky = - 1}}[/tex]
[tex]{ \bf{y = \frac{1}{2} }} \\ { \sf{ky = - 1}} \\ { \sf{k = - 2}}[/tex]
Simultaneous equations are used to represent a system of related equations.
The value of k when [tex]y = \frac 12[/tex] is -2
Given that:
[tex]3x + ky = 8[/tex]
[tex]x - 2ky = 5[/tex]
[tex]y = \frac 12[/tex]
Substitute [tex]y = \frac 12[/tex] in both equations
[tex]3x + ky = 8[/tex]
[tex]3x + k \times \frac 12 = 8[/tex]
[tex]3x + \frac k2 = 8[/tex]
[tex]x - 2ky = 5[/tex]
[tex]x - 2k \times \frac 12 = 5[/tex]
[tex]x - k = 5[/tex]
Make x the subject in [tex]x - k = 5[/tex]
[tex]x = 5 + k[/tex]
Substitute [tex]x = 5 + k[/tex] in [tex]3x + \frac k2 = 8[/tex]
[tex]3(5 + k) + \frac k2 = 8[/tex]
Open bracket
[tex]15 + 3k + \frac k2 = 8[/tex]
Multiply through by 2
[tex]30 + 6k + k = 16[/tex]
[tex]30 + 7k = 16[/tex]
Collect like terms
[tex]7k = 16 - 30[/tex]
[tex]7k = - 14[/tex]
Divide both sides by 7
[tex]k = -2[/tex]
Hence, the value of constant k is -2.
Read more about simultaneous equations at:
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13 POINTS IF YOU ANSWER!!!
What is the area of the figure below if all angles are right angles?
F: 2 square yards
G: 4 square yards
H: 5 square yards
J: 7 square yards
K: none of these
Rearranging formulae. Can anyone help me with this question and show how you did it please? Will mark brainliest!
NEED HELP
A coin collection has 33 quarters and nickels. The number of nickels is 5 greater than
three times the number of quarters. How many coins of each type are there? Write a
system of equations and solve using substitution.
Answer:
7 quarters
26 nickels
Step-by-step explanation:
x = number of quarters
y = number of nickels
x + y = 33
y = 3x + 5
x + 3x + 5 = 33
4x = 28
x = 7
y = 3×7 + 5 = 26
Consider this linear function y=1/2x+1 plot all ordered pairs for the values in the domain D:{-8,-4,0,2,6}
Answer:
Following are the calculated points to the given question:
Step-by-step explanation:
[tex]When\ x=-8\\\\y=\frac{1}{2}(-8)+1=-3\\\\[/tex]
so,
[tex]Point \ A(-8,-3)[/tex]
[tex]When\ x=-4\\\\y=\frac{1}{2}(-4)+1=-1\\\\[/tex]
so,
[tex]Point \ B(-4,-1)[/tex]
[tex]When\ x=0\\\\y=\frac{1}{2}(0)+1=1\\\\[/tex]
so,
[tex]Point \ C(0,1)[/tex]
[tex]When\ x=2\\\\y=\frac{1}{2}(2)+1=2\\\\[/tex]
so,
[tex]Point \ D(2,2)[/tex]
[tex]When\ x=6\\\\y=\frac{1}{2}(6)+1=4\\\\[/tex]
so,
[tex]Point \ E(6,4)[/tex]
It is believed that the average amount of money spent per U.S. household per week on food is about $99, with standard deviation $10. A random sample of 25 households in a certain affluent community yields a mean weekly food budget of $100. We want to test the hypothesis that the mean weekly food budget for all households in this community is higher than the national average. State the null and alternative hypotheses for this test, the test statistic and determine if the results significant at the 5% level.
Answer:
H0 : μ = 99
H1 : μ > 99
Z statistic = 0.5
Result is not significant at 5% level ;
Step-by-step explanation:
Given that :
σ = 10
μ = 99
Sample size, n = 25
H0 : μ = 99
H1 : μ > 99
The test statistic :
(xbar - μ) ÷ (σ/√(n))
Since the population standard deviation is known, we use the Z statistics.
Z = (100 - 99) ÷ (10/√(25))
Z = 1 / 2
Z = 0.5
The Z critical value at α = 0.05
Zcritical = 1.645
Zstatistic < Zcritical ; Hence, we fail to reject the H0.
Fill in the blanks to write a verbal description
Answer:
Step-by-step explanation:
17.
The expression 4(x-7) is the product of 4 and the difference of x and 7.
18.
The expression 2+8/c is the sum of 2 and the quotient of 8 and c.
The base of the rectangle is 7 inches, and the height is 6 inches. The area of one triangle is square inches.
Answer:
21
Step-by-step explanation:
area of triangle = 1/2 * base * height
assuming the triangle is made by cutting the rectangle into half,
1/2 * 7 * 6 = 21
Answer:
the answer is 21
Step-by-step explanation:
what is the smallest number by which 6400 must be multiplied to make a perfect cube?
Answer:
10
Step-by-step explanation:
i looked it up to be sure but if wrong very sorry.
find the values of x and y.
Answer:
x=15.75 y=59
Step-by-step explanation:
In total there is 360 degrees. We know y is 59 so we will replace it with that.
59+59=118. 360-118=242. 242/2=121. 29+29=58. So we can subtract that to equal 63. Now 63=4x. We can divide so 2x=31.5. x=15.75.
Therefore, 15.75=x and 59=y
I hope this helped ^^.
Please hurry I will mark you brainliest
What is the equation of the line that passes through (3,-1) and is parallel to the line y=3x+2?
Answer:
y = 3x-10
Step-by-step explanation:
When lines are parallel, they have the same slope
y = 3x+2 is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 3
y = 3x+b
We have a point on the line
-1 = 3(3)+b
-1 = 9+b
-10 = b
y = 3x-10
14. Peter needs to buy a package of pencils to write his final exam. The store offers two packages.
Package 1: pack of 6 pencils for $1.68
Package 2: pack of 9 pencils for $2.34
Determine the cost per pencil. Which is the better deal? Round to 2 decimal places. Show all your work for full marks.
Answer:
Step-by-step explanation:
1.68/6=0.28 per pencil in pack 1
2.34/9 =0.26 per pencil in pack 2
So pack 2 is better in terms of Maths
But in business, people prefer pack 1
IF a and bare roots of 3x² - 6x + 2=0 ,then find. a, a-b
Answer:
a is 1.58 and b is 0.42
Step-by-step explanation:
[tex]{ \sf{3 {x}^{2} - 6x + 2 = 0 }} \\ { \sf{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} }} \\ \\ { \sf{x = \frac{ - ( - 6)± \sqrt{ {( - 6)}^{2} - (4 \times 3 \times 2) } }{(2 \times 3)} }} \\ \\ { \sf{x = \frac{6± \sqrt{12} }{6} }} \\ \\ { \sf{x = 1.58 \: and \: 0.42}}[/tex]
help me with the question of O.math
Answer:
24
Step-by-step explanation:
2*1+1+2*2+1+2*3+1+2*4+1=24
Problem Apply the distributive property to create an equivalent expression. (m-3+4n)\cdot (-8) =(m−3+4n)⋅(−8)=
Given:
The expression is:
[tex](m-3+4n)\cdot (-8)[/tex]
To find:
The equivalent expression by using the distributive property.
Solution:
Distributive property:
[tex]a(b+c)=ab+ac[/tex]
We have,
[tex](m-3+4n)\cdot (-8)[/tex]
Using the distributive property, we get
[tex](m-3+4n)\cdot (-8)=(m)\cdot (-8)+(-3)\cdot (-8)+(4n)\cdot (-8)[/tex]
[tex](m-3+4n)\cdot (-8)=-8m+24-32n[/tex]
Therefore, the equivalent expression is [tex]-8m+24-32n[/tex].
a car can complete journey of 300 km with the average speed of 60 km per hour how long does it take to complete the journey what is the speed of the car if it covers only 200 km in the same interval of the time
please I need help urgent
Answer:
a. 5 hours
b. 40 kph
Step-by-step explanation:
300 km ÷ 60 km = 5 hours
200 km ÷ 5 hours = 40 kilometers per hour
please help with this I don't know what to do
Step-by-step explanation:
we solve for x
15x-(2/x)>1. /*x
15x^2 -2 > x. /-x
15x^2 -x -2 > 0
Solve the quadratic at zero
15x^2 -x -2=0
using the quadratic formula
x1,2 = [1+-sprt((-1)^2-4(15)(-2))]/2(15)
= [1+- sqrt (121)]/30
= [1+-11]/30
x1= 12/30= 2/5
x2= -10/30= -1/3
therefore this positive parabola is greater than zero or positive when
x< -1/3 and x> 2/5
40 points please help im confused
What is the volume of the prism?
103.8 cubic inches
114.9 cubic inches
140.6 cubic inches
110.5 cubic inches
Answer:
V=L x W x H
(4.7)(5.2)(4.7)(5)
=574.34 inch
Answer:
the answer is 140.6
Step-by-step explanation:
got it right on quiz
The length of a rectangle is six times its width. If the area of the rectangle is 384^2, find its perimeter.
Answer:
Perimeter, P = 112 meters
Step-by-step explanation:
Let the length of the rectangle be L.Let the width of the rectangle be W.Translating the word problem into an algebraic expression, we have;
L = 6W ...... equation 1
Given the following data;
Area of rectangle = 384 m²To find the perimeter of the rectangle;
First of all, we would determine the dimensions of the rectangle using its area.
Mathematically, the area of a rectangle is given by the formula;
Area of rectangle = LW ..... equation 2
Substituting eqn 1 into eqn 2, we have;
384 = 6W(W)
384 = 6W²
Dividing both sides by 6, we have;
W² = 384/6
W² = 64
Taking the square root of both sides, we have;
W = √64
Width, W = 8 meters
Next, we would find the length;
L = 6W
L = 6 * 8
Length, L = 48 meters
Lastly, we would determine the perimeter of the rectangle using the above dimensions;
Mathematically, the perimeter of a rectangle is given by the formula;
Perimeter = 2(L + W)
Substituting the values into the formula, we have;
Perimeter, P = 2(48 + 8)
Perimeter, P = 2(56)
Perimeter, P = 112 meters
on
9
emaining:
Point-Slope
out of
question
Instructions: Write the equation of the line in Point-Slope Form given the information below.
Slope =-1/5 y-intercept =-3
Answer:
y = -1/5x - 3
Step-by-step explanation:
What are the factors of the expression below -2x^2+5-3
A -1(2x-3)(x-1)
B -1(2x+3)(x-1)
C -1(2x+3)(x+1)
D -1(2x-3)(x+1)
Answer:
A
Step-by-step explanation:
Given
- 2x² + 5x - 3 ← factor out - 1 from each term
= - 1(2x² - 5x + 3) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × 3 = 6 and sum = - 5
The factors are - 2 and - 3
Use these factors to split the x- term
2x² - 2x - 3x + 3 ( factor the first/second and third/fourth terms )
2x(x - 1) - 3(x - 1) ← factor out (x - 1) from each term
(2x - 3)(x - 1)
Then
- 2x² + 5x - 3 = - 1(2x - 3)(x - 1) → A
[15 points]The distance from the earth to the moon is approximately 380592 km. Assuming the moon has a circular orbit around the earth, find the distance the moon travels in orbiting the earth through an angle of 2.62 radians.
Answer:
634806 km travelled by the Moon as it orbits 2.62 radians about the Earth.
Step-by-step explanation:
convert to pi.
A department store is ordering the fall line of shoes. Which of the following statistical measurements would they use to determine what sizes they should order the most? A. range B. median C. mean D. mode
Answer:
Mode
Step-by-step explanation:
If I'm not mistaken the mode is the value that appears most which in this case would mean the size that is bout the most.So he should use the mode which basically shows what size is bought the most and buy that size
The statistical measurements they would use to determine what sizes they should order the most is mode option (D) is correct.
What is the mode?It is defined as the highest frequency of data and how many times the element is repeated in the data set, known as the mode value.
We have:
A department store is ordering the fall line of shoes.
As we know, Statistics is a mathematical tool defined as the study of collecting data, analysis, understanding, representation, and organization. Statistics is described as the procedure of collecting data, classifying it, displaying that in a way that makes it easy to understand, and analyzing it even further.
The mean value for the given set of data or the closed value for each entry given in the set of data.
Thus, the statistical measurements they would use to determine what sizes they should order the most is mode option (D) is correct.
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