Answer:
An independent clause is a group of words that contains both a subject and a predicate. It expresses a complete thought and can stand alone as a sentence. It can also be joined to other dependent or independent clauses to make a more interesting and complex sentence.
Step-by-step explanation:
Joan actually likes 30% of her male friends and 20% of her female friends. She has a
total of 200 friends, 45% of them are male. How many female friends does Joan actually like?
Answer:
22
Step-by-step explanation:
The number of male friends : 200 ÷100 × 45 = 90
The number of female friends : 200 - 90 = 110
Joan likes 20% of her female friends and there are total of 110 female friends
20% 110 would be➡ 110 ÷ 100 × 20 = 22
A stove that cost $500 will be on sale next week for 25% off it’s regular price what is the amount of savings
Final answer:
To calculate the savings of 25% off a $500 stove, you multiply 500 by 0.25 to get a savings of $125.
Explanation:
The question asks us to calculate how much money will be saved on a stove that is on sale for 25% off its regular $500 price. To find the amount of savings, we need to calculate 25% of $500. This is done by multiplying the original price by the percentage discount in decimal form.
The percentage in decimal form is 0.25 (since 25% is 25 per hundred, or 25/100), hence, we multiply 500 by 0.25 to find the savings:
500 × 0.25 = $125.
Therefore, the amount of savings from the original price during the sale is $125.
Write the slope-intercept form of the equation of each line.
Answer:y=mx+b
Step-by-step explanation:
I need help with these 2 Math Questions, both using a graph. Pictures are attached.
Answer:
1. k = 3
2. k = 5
Step-by-step explanation:
1. The graph shows two parallel lines intersecting y-axis:
f(x) at (0,2);g(x) at (0,5).The graph of the function g(x) is translated 5 - 2 = 3 units up graph of the function f(x). Thus, k = 3.
2. The graph shows two parallel lines intersecting y-axis:
f(x) at (0,-2);g(x) at (0,3).The graph of the function g(x) is translated 3 - (-2) = 5 units up graph of the function f(x). Thus, k = 5.
Name two points that are reflections of each other across the x-axis.
Answer:
Original point (1,2) and the image is (1,-2).
Step-by-step explanation:
If a point on the coordinate plane reflects across the x-axis then the x-coordinates of the original point and that of the image point will remain the same and the y-coordinates of the original point and that of the image point will only change their signs.
So, a point having coordinates (a,b) when reflected across the x-axis then the point generated after reflection will have coordinates (a,-b).
This is true for any real values of a and b.
So, for example, if (1,2) is a point reflected across the x-axis will generate an image point with coordinates (1,-2). (Answer)
Divide the following polynomials
(2x2+x+3)/ (x-2)
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of
0
.
2
x
-
3
2
x
2
-
3
x
+
5
Divide the highest order term in the dividend
2
x
2
by the highest order term in divisor
2
x
.
x
2
x
-
3
2
x
2
-
3
x
+
5
Multiply the new quotient term by the divisor.
x
2
x
-
3
2
x
2
-
3
x
+
5
+
2
x
2
-
3
x
The expression needs to be subtracted from the dividend, so change all the signs in
2
x
2
−
3
x
x
2
x
-
3
2
x
2
-
3
x
+
5
-
2
x
2
+
3
x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
x
2
x
-
3
2
x
2
-
3
x
+
5
-
2
x
2
+
3
x
0
Pull the next term from the original dividend down into the current dividend.
x
2
x
-
3
2
x
2
-
3
x
+
5
-
2
x
2
+
3
x
0
+
5
The final answer is the quotient plus the remainder over the divisor.
x
+
5
2
x
−
3
Please help solve with steps:
-3 + u = 1/2
----
5
Mia is 160.2 centimeters tall.Rosa is 165.1 centimeters tall.how much taller is Rosa the Mia?
Answer:
4.9
Step-by-step explanation:
165.1-160.2
Complete each geometric sequence
1.5, 3, 6, ___, 24, ___
Answer:
1.5, 3, 6, 12, 24, 48
Explanation:
multiply all of the numbers by 2
1.5*2=3
3*2=6
6*2=12
12*2=24
24*2=48
What's the awnser to x÷9=157
Answer:
x = 1413Step-by-step explanation:
[tex]x\div9=157\\\\\dfrac{x}{9}=157\qquad\text{multiply both sides by 9}\\\\9\!\!\!\!\diagup^1\cdot\dfrac{x}{9\!\!\!\!\diagup_1}=(9)(157)\\\\x=1413[/tex]
Use the chart to multiply the binomial by the trinomial.
What is the product?
(y+3)(y2 – 3y+9)
A. y3 + 27
B. 13-27
C. y - 6y? + 27
D. y + 6y2 + 27
Answer:
A) y^3+27
Step-by-step explanation:
(y+3)(y^2-3y+9)
y^3-3y^2+9y+3y^2-9y+27
y^3+27
The product of the polynomial is A = y³ + 27
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
To find the product of (y+3)(y^2 - 3y + 9), we can use the distributive property of multiplication:
(y+3)(y² - 3y + 9) = y(y² - 3y + 9) + 3(y² - 3y + 9)
Now we can simplify each term:
y(y² - 3y + 9) = y³ - 3y² + 9y
3(y² - 3y + 9) = 3y² - 9y + 27
Adding these two simplified polynomial terms, we get:
(y+3)(y² - 3y + 9) = y³ - 3y² + 9y + 3y² - 9y + 27
Simplifying further, we get:
(y+3)(y² - 3y + 9) = y³ + 27
Hence , the product is A = y³ + 27
To learn more about polynomial click :
https://brainly.com/question/13199883
#SPJ5
tamara Travels by plane to visit her sister in California once a month if tomorrow travels a total distance of 2753 miles each time she visits her sister how many miles does she travel to visit her sister each year.?
Which fact is most helpful for finding 2,100÷7
Answer:21/7
Step-by-step explanation:
The main fact that helps you solve 2,100 ÷ 7 is understanding that division is splitting into equal parts. Doing this with 2,100 split into 7 gives you a result of 300.
Explanation:The fact that's most helpful in finding the result of 2,100 ÷ 7 is understanding the basic operation of division. Division is splitting into equal parts or groups. It is the result of 'fair sharing'. So, if you have 2,100 and you divide it into 7 equal groups, how much is in each group? We do this by taking 2,100 and divvying it up 7 times. The result will be 300. So, 2,100 ÷ 7 = 300.
Learn more about Division here:https://brainly.com/question/37843448
#SPJ11
Can someone please help me? Thanks
Answer:
693 sq. m.
Step-by-step explanation:
The figure consists of a triangular prism (Bottom Part) and a Triangular Pyramid (Top Part). We will find the volume of each and add it up to get volume of total figure.
1. Volume of Triangular Prism = Area of Triangular Base * Height
Area of Triangular Base = (1/2)*base*height
Given that the triangle is a right triangle, we find the unknown side by using Pythagorean Theorem, which tells us:
Leg^2 + Another Leg^2 = Hypotenuse^2
8.8^2 + Another Leg^2 = 13.7^2
77.44+ Another Leg^2 = 187.69
Another Leg (unknown side, or the base of the triangle) = Sqrt(187.69-77.44) = 10.5 (this is base of triangle)
So, we have:
Area of Triangular Base = [tex]\frac{1}{2}*10.5*8.8=46.2[/tex]
Thus,
Volume of Triangular Prism = 46.2 * 10(given) = 462 sq.m.
2. Volume of Triangular Pyramid = (1/3) * area of triangular base * height
Here, area of triangular pyramid is 46.2 (already found)
the height of the pyramid is 25 - 10 = 15
SO, we have:
Volume of Triangular Pyramid = [tex]\frac{1}{3}*46.2*15=231[/tex] sq. m.
Now we sum them up and get total volume of the figure:
Total Volume of Figure = 462+ 231 = 693 sq. m.
What is the measure of the exterior angle ?
70
180
110
Answer:
110
Step-by-step explanation:
A bump is 180 degrees as well as a triangle. So 90+20=110 and 180-110=70. Meaning 180-70 =110
Answer:
110
Step-by-step explanation:
Solve for the angle in the triangle
70+90+ x=180180-110= xx=70solve for the "?"
180=70+?180-70=?110=?At the end of the summer, a store marks down all the outdoor furniture 20%. A family bought 4 chairs that originally cost $102. How much was the cost of the 4 chairs?
Answer:
$81.60
Step-by-step explanation:
A 20% markdown means that the chairs were sold at 80% of the original cost.
Original cost = $102
markdown = 20%
Cost after markdown = original cost* (1-markdown)
Cost after markdown = 102 *(1 - 0.20)
= 102*0.80
= 81.6
Therefore, the 4 chairs were sold at a total cost of $81.60
Granola costs $2.79 for 16.4 ounces. At this rate how much does 25 ounces of granola costs? Round to the nearest cent .
Answer:
$4.25
Step-by-step explanation:
Ratio:
2.79:16.4 = x:25
16.4 × x
2.79 × 25
Cross multiply: 16.4x = 69.75
Then divide: 69.75 ÷ 16.4 = $4.25
Ramon earns $1,825 each month and pays $53.20 on electricity. To the nearest tenth of a percent, what
percent of Ramon's earnings are spent on electricity each month?
Answer:
2.9%
Step-by-step explanation:
Given:
Total earnings : $1,825
Electricity : $53.20
% of earnings spent on electricity,
= (53.2 / 1825) x 100%
= 0.2915 x 100%
= 2.915%
= 2.9% (nearest tenth)
Which answer describes the 2X in the expression 2x+4
Answer:
2 is a co-efficient to the variable, x. 4 is a constant.
Step-by-step explanation:
Don't know exactly what you're asking here.
Brianna hoped to get 100 pumpkins from her garden this year. Since the weather was favorable, 20% more pumpkins grew than she expected. Unfortunately, animals ate 30% of all the pumpkins that grew. How many pumpkins were left? Is the final number of pumpkins more than or less than she hoped?
Answer:
84 pumpkins; less than she expected
Step-by-step explanation:
Find 20% of 100 and add the percent to 100. That is 120.Then find 30% of 120, which is 36. Then do 100-36 to get 84 pumpkins. That is less than 100 so she got less than she hoped.
The final number of pumpkins less than she hoped is 84 pumpkins.
What is the percentage?A percentage is a number or ratio expressed as a fraction of 100.
A percentage is a dimensionless number, it has no unit of measurement.
Brianna hoped to get = 100 pumpkins
percentage of increased yield = 20%
∴ number of pumpkins = 100*20/100
= 20 pumpkins more.
total pumpkins yield = 100 + 20 = 120.
percentage of pumpkins animals eat = 30%
∴ number of pumpkins = 120*30/100
= 36 pumpkins more.
total number of pumpkins she left = 120 - 36
= 84. answer.
Learn more about percentages here:-https://brainly.com/question/24304697
#SPJ2
simplest form of 8/10
Answer:
a.3/4 b.2/3
Step-by-step explanation:
Answer:
a) 3/4
b) 2/3
Step-by-step explanation:
a) 15 ÷ 5 3
_________ = ____
20 ÷ 5 4
b) 8 ÷ 4 2
_________ = ____
12 ÷ 4 3
Hope this helps OwO!
Explain the effect of C on the graph of Y=f(x) for the function y=f(x+c)
f(x) + c -> up by c
f(x) - c -> down by c
f(x + c) -> left by c
f(x - c) -> right by c
For y = f(x + c), the y value of x now takes the y value of the function of x + c, or the one c to the right of x, shifting the entire graph left by c.
The function y=f(x+c) signifies a horizontal shift of the graph y=f(x). The graph shifts left if 'c' is positive and right if 'c' is negative.
Explanation:In mathematics, y=f(x+c) represents a transformation of the graph y=f(x). Specifically, the addition of the constant 'c' in the function results in a horizontal shift of the graph. If 'c' is positive, then the graph moves to the left by 'c' units. If 'c' is negative, then the graph moves to the right by 'c' units.
Let's look at an example to illustrate this. Consider the function y = f(x) where f(x) = x^2, the graph is a parabola centered on the origin (0,0). If we transform this function into y = f(x+c), where c = 2, the resulting graph y = (x+2)^2 would be a parabola shifted 2 units to the left of the origin.
Learn more about Graph Transformations here:https://brainly.com/question/19040905
#SPJ2
A bag of potato chips contain 0.96 grams of sodium. If the bag is split into 8 equal servings, how many grams of sodium will each serving contain
Answer:
0,12 grams
Step-by-step explanation:
0,96:8=0,12
Each serving will contain 0.12 grams of sodium.
Explanation:In order to find out how many grams of sodium each serving contains in the bag of potato chips, we can divide the total amount of sodium in the bag by the number of servings. Given that the bag contains 0.96 grams of sodium and is split into 8 equal servings, we can divide 0.96 by 8 to find the sodium content per serving.
Step 1: Divide 0.96 by 8: 0.96 ÷ 8 = 0.12
Step 2: Each serving will contain 0.12 grams of sodium.
Learn more about Sodium content in potato chip servings here:https://brainly.com/question/17854254
#SPJ2
Choose the point-slope form of the equation below that represents the line that passes through the point (6, −3) and has a slope of fraction 1 over 2 .
Answer:
y + 3 = (1/2)(x -6)
Step-by-step explanation:
When we have the slope m of the line and a point (a,b) which the line passes through, the point-slope form is
y - b = m (x -a)
Since the slope is 1/2 and the line passes through (6, -3), the point-slope equation is
y -(-3) = (1/2)(x -6)
or
y + 3 = (1/2)(x -6)
For each sequence,find the first 4 terms and the 10th term
a) n+5
b)2n-1
Answer:
a)6,7,8,9 and 10th term is 15.
b)1,3,5,7 and 10th term is 19.
Step-by-step explanation:
Given a) n+5
b)2n-1
Solution for a) n+5
Taking the value of n is 1 we get the first term of the sequence;
[tex]n+5=1+5=6[/tex]
Similarly taking the value of n 2,3,4 we get;
[tex]2+5=7\\3+5=8\\4+5=9[/tex]
And for 10th term we take the value of n is 10 and get;
[tex]n+5=10+5=15[/tex]
So the solution for 1st sequence is 6,7,8,9 and 10th term is 15.
Solution for b)2n-1
Taking the value of n is 1 we get the first term of the sequence;
[tex]2n-1=2\times1-1=2-1=1[/tex]
Similarly taking the value of n 2,3,4 we get;
[tex]2n-1=2\times2-1=4-1=3\\2\times3-1=6-1=5\\2\times4-1=8-1=7[/tex]
And for 10th term we take the value of n is 10 and get;
[tex]2n-1=2\times10-1=20-1=19[/tex]
So the solution for 2nd sequence is 1,3,5,7 and 10th term is 19.
Final answer:
The first 4 terms and the 10th term of sequence (a) n + 5 are 6, 7, 8, 9, and 15, respectively. For sequence (b) 2n - 1, they are 1, 3, 5, 7, and 19, respectively.
Explanation:
For each sequence, we need to find the first 4 terms and the 10th term. The sequences are given by (a) n + 5 and (b) 2n - 1.
Let's start with sequence (a) n + 5. The first 4 terms, where n starts at 1, will be:
1 + 5 = 62 + 5 = 73 + 5 = 84 + 5 = 9The 10th term can be found by substituting n = 10 into the expression, so the 10th term is:
10 + 5 = 15
Moving on to sequence (b) 2n - 1. The first 4 terms are:
2(1) - 1 = 12(2) - 1 = 32(3) - 1 = 52(4) - 1 = 7The 10th term is calculated as:
2(10) - 1 = 19
6. Museum tickets cost $7 for
adults and $4 for youths. The
museum is free for anyone
5 years and younger. The Baker
family is planning to visit with
7 adults, 6 youths, and
3 children under the age of 5.
How much will all of their tickets
cost? Explain.
Answer:
$73
Step-by-step explanation:
Multiply 7 and 7 to get 49. Next, multiply 6 and 4 to get 24. The museum is free for the 3 children so you do not have to do anything. Add 49 and 24 to get 73, which is the price for the Baker Family.
After Megan walked 5 miles her activity tracker have counted 9780 steps David’s activity tracker had counted 11,928 steps after he walked 6 miles.suppose each person step covers about the same distance who takes more steps to walk 1 mile? how many more steps?
Answer:
David took 32 more steps
Step-by-step explanation:
first we need to find out how many steps each person takes every one mile to find that out we divide the steps by how many miles .
megan: 9780÷5= 1956 steps in one mile
David: 11928÷6= 1988 steps in one mile
then you subtract to find by how many more steps .
1988-1956 =32
david took 32 more steps
a number multiplied by 1/2 is -5/12
Answer:
- 5/6 is the answer
Step-by-step explanation:
The number which when multiplied by 1/2 is -5/12 is -5/6
How to multiply?Let
The unknown number = x
So,
x × 1/2 = -5/12
1/2x = -5/12
Divide both sides 1/2
x = -5/12 ÷ 1/2
= -5/12 × 2/1
= -10 / 12
= -5/6
Hence, -5/6 id the number need-
-5/6
Read more on multiplication:
https://brainly.com/question/10873737
#SPJ3
if x varies directly as y, find x when y=8. x=14 when y=-2
Answer:
4
Step-by-step explanation:
x-y
14-8=6
so x is 6 more than y
y+6=x
y= -2. -2 + 6 = 4
Answer:4
Step-by-step explanation:
i don’t know
13 lb7 oz + 10 lb2 oz
Final answer:
The sum of the two weights, 13 lb 7 oz and 10 lb 2 oz, is 23 lb 9 oz. You add the ounces first, which don't need conversion, and then add the pounds.
Explanation:
Adding Pounds and Ounces
The question involves adding two weights together that are given in pounds and ounces. To do this, we need to add the ounces together first and then the pounds. The sum of 7 ounces and 2 ounces is 9 ounces. Since there are 16 ounces in one pound, we have no need to convert these ounces to pounds. The sum of 13 pounds and 10 pounds is 23 pounds. Therefore, when we combine these two sums, we arrive at the total weight of 23 pounds and 9 ounces.