Answer: 19
Step-by-step explanation:
To paint a house, a painting company charges
a flat rate of $500 for
supplies, plus $50 for each hour of labor.
a.
How much would the painting company charge to paint
a house that
needs 20 hours of labor? A house that needs 50 hours?
Call the number of hours of labor x.
A flat rate of $500 -> just $500.
$50 for each hour of labor -> 50x (for x hours)
Therefore, we can represent the amount needed for x hours of labor as the function : 500 + 50x.
We substitute :
20 hours of labor = 500 + 50 x 20 = $1500
50 hours of labor = 500 + 50 x 50 = $3000
Please show all work
The volume of the composite solid is 340.4 cubic inches
How to calculate the volume of the composite solidThe composite solid is made up of two parts one has
uniform height varying heightThe volume for the uniform height
= base area * height
base area = 0.5 base * height = 0.5 * 8 * 6.9 = 27.6
= 27.6 * 10
= 276 cubic inches
The volume for the varying height
= 1/3 base area * height
base area = 27.6 (both share same base)
= 1/3 * 27.6 * 7
= 64.4 cubic inches
The total volume
= 276 + 64.4
= 340.4 cubic inches
Learn more about volume of prism here:
https://brainly.com/question/29402795
#SPJ1
Charities can claim an extra 25% of the value of a donation back from the government. This is called gift aid. Work out how much gift aid a charity can claim on a donation of £273.50. Give your answer to the nearest penny
Answer:
Gift aid 68.38 £
Step-by-step explanation:
Proportion:
273.50 £ - 100%
X £ - 25%
Gift aid:
X = 273.50·25% / 100% = 273.50 / 4 ≈ 68.38 £
Mrs. Wong is researching what it would cost to order flower arrangements for a fancy party. She wants one large centerpiece for the head table, and smaller arrangements for the smaller tables. Lakeside Florist charges $19 for each smaller arrangement, plus $50 for the large centerpiece. Spencer's Flowers, in contrast, charges $42 for the large centerpiece and $23 per arrangement for the rest. If Mrs. Wong orders a certain number of small arrangements, the cost will be the same at either flower shop. How many small arrangements would that be? What would the total cost be?
Step-by-step explanation:
so, we have 2 cost functions. each consisting of 1 large centerpiece, and x smaller arrangements.
cost1(x) = 19x + 50
cost2(x) = 23x + 42
to get the value for x we know that the cost is the same either way.
that means
cost1(x) = cost2(x) = 19x + 50 = 23x + 42
19x + 50 = 23x + 42
50 = 4x + 42
8 = 4x
x = 2
so, she orders 2 small arrangements.
the total cost is
19×2 + 50 = 38 + 50 = $88
cross check with the other function :
23×2 + 42 = 46 + 42 = $88
correct
what is the sum between 6/9 and 3/6
Answer:
21/18 or 1 and 3/18
Step-by-step explanation:
6/9 = 12/18
3/6 = 9/18
12/18 + 9/18 = 21/18 or 1 3/18
Answer:
[tex] \frac{6}{9} + \frac{3}{6} \\ \\ = \frac{2 \times 6 + 3 \times 3}{18} = \frac{12 + 9}{18} = \frac{21}{18} = \frac{7}{6} = 1 \frac{1}{6} [/tex]Express 900 as a product of its prime factors in index form.
Write the prime factors in ascending order.
The product of prime factors of 900 in index form is [tex]2^{2} *3^{2} *5^{2}[/tex] and the ascending order of prime factors is 2, 3 and 5.
According to the question,
We have the following number:
900
This number needs to prime factorized. So, first it can be divided by 2 (450), again 450 can be divided by 2 (225), it can be divided by 3 (75), it can again be divided by 3 (25), this can be divided by 5 (5) and it will be finally divided by 5.
So, we have the following product for the prime factors of 900:
2*2*3*3*5*5
In index form, it will be written as follows:
[tex]2^{2} *3^{2} *5^{2}[/tex]
Now, we know that in ascending order, numbers are arranged from smallest to largest.
So, we have the following order:
2, 3 and 5
Hence, the product of prime factors of 900 in index form is [tex]2^{2} *3^{2} *5^{2}[/tex] and the ascending order of prime factors is 2, 3 and 5.
To know more about product of prime factors here
https://brainly.com/question/21173911
#SPJ9
evaluate the expression and enter expression and enter your answer in the box below -3•(6+2)+232÷8
Answer:
5
Step-by-step explanation:
Distribute 1st
-3 x 8 +232 /8
Multiply -3 and 8
-24 +232 /8
Divide 232 and 8
-24+29
Add -24 and 29
5
Is this correct just need to make sure
Yes, it is correct. (a) congruent by SSS
(b) congruent by SAS
(c) congruent by ASA
(a) Given in figure,
MN = OP
∠MNO = ∠NOP
ON = ON (Common)
Hence, ΔMNO ≅ ΔNOP by SAS.
(b) Given in figure,
UV = XY
∠UVW = ∠XYZ
UW = XZ
Hence, ΔUVW ≅ ΔXYZ by SAS.
(C) Given in figure,
∠ABC = ∠EDF
BC = DE
∠ACB = ∠DEF
Hence, ΔABC ≅ ΔDEF by ASA.
Therefore, all are congruent.
To learn more about congruent here:
https://brainly.com/question/12413243
#SPJ1
f(x)=5+7x-9x^2+4^3 state the end behavior of f(x). Explain (x). Explain or show your reasoning.
The end behavior of given polynomial function f(x) = 5 + 7x - 9x^2 + 4^3,
as x → -∞, f(x) → -∞
as x → ∞, f(x) → -∞
In this question, we have been given a polynomial function
f(x) = 5 + 7x - 9x^2 + 4^3
We need to state the end behavior of f(x).
The graph of f(x) is as shown below.
We can observe that as x tends to -∞, f(x) → -∞
Also, as x → ∞, f(x) → -∞
We know that the end behavior of polynomial function is determined by the degree of the polynomial and the leading coefficient.
For given polynomial function, the degree of this polynomial is 2.
The leading coefficient is -9
We know that for polynomial function of even degree, the ends of the function graph point in the same direction.
Therefore, the end behavior of given polynomial function f(x) = 5 + 7x - 9x^2 + 4^3,
as x → -∞, f(x) → -∞
as x → ∞, f(x) → -∞
Learn more about the end behavior here:
https://brainly.com/question/28011385
#SPJ9
Ray buys a computer game for $38. He uses a coupon to receive 15% off the price of the game. After the coupon is deducted, he must pay 6% sales tax. What is the tota cost of the game, to the nearest cent? A $28.00 C. $34.58 D. $36.56
In ΔTUV, m∠T = 58° and m∠U = 97°. Which list has the sides of ΔTUV in order from longest to shortest?
The sides of ΔTUV in order from longest to shortest is as follows -
TV > TU > VU
What is triangle?A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
The sum of two sides of a triangle is greater then the third side. Mathematically -
a + b > c
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is ΔTUV, m∠T = 58° and m∠U = 97°.
Refer to the image attached.
TV > VU
TU + VU > TV
TV > TU + VU
So we can arrange the sides as follows -
TV > TU > VU
Therefore, the sides of ΔTUV in order from longest to shortest is as follows -
TV > TU > VU
To solve more questions on triangles, visit the link below-
brainly.com/question/25950519
#SPJ6
Please answer this
This is very hard for me and my friend
The value of x is 10.6 which is equivalent to 11.
In the given triangle
the triangle is divided into two triangles which are both right angled
However in the bigger triangle
we would use the Pythagoras Theorem
( y + 6 )² = x² + 100 ---------- equation 1
In the smaller triangle;
x² = y² + 64 --------------equation 2
Thus substituting the value of x in equation 1
Thus the equation becomes
( y + 6 )² = y² + 64 + 100
y² + 36 + 12x = y² + 164
Cancelling y² on both sides we will get
36 + 12x = 164
12x = 164 - 36
this implies 12 x = 128
x = [tex]\frac{128}{12}[/tex]
x = 10.6 ≈ 11
Thus the required value of x is 10.6 or 11
To know more about triangles or related problems you may visit the link which is mentioned below:
https://brainly.com/question/3770177
#SPJ13
There are 11 counters in a bag.
8 of the counters are green.
3 of the counters are blue.
Sid takes at random two counters from the bag.
Work out the probability that Sid takes one counter of each colour
(Hint: Fractions can be written in the form a/b. eg [tex]\frac{5}{28}[/tex] would be written as 5/28)
The probability of Sid takes at random counters from the bag is 24/55
The total number of counters = 11
Total number of green counters = 8
Total number of blue counters = 3
Probability = Number of favorable outcomes / Total number of outcomes
Total number of outcome = 55
Number of outcome that Sid will get both green = 28
Number of outcome that Sid will get both blue = 3
Number of favorable outcome = 55 - 28 - 3
= 24
Probability = Number of favorable outcomes / Total number of outcomes
= 24/55
Hence, the probability of Sid takes at random counters from the bag is 24/55
Learn more about probability here
brainly.com/question/11234923
#SPJ1
pls answer all the questions FOIL pre calc
Answer for Part I: x² - 3x - 10
Step-by-step explanation:
The FOIL method means to multiply the "First, Outside, Inside, and Last" in order of the terms. See attached for a visual and the work behind the answer.
Using this method, we end up with;
x² - 3x - 10
Sandy bought an outboard motor for a total selling price of $420 in Maine, which has a 7% sales tax rate. Calculate the sales tax.
Answer
you do 420x0.7= 29.40
Answer:
The sales tax is 29.4
Step-by-step explanation:
Just divide in half until you reach 5 and then calculate the other 2 percent of it and add the 2 percent back onto it.
which of the following statements is false? group of answer choices older men tend to have lower muscle density, so the correlation between age and muscle density in older men must be negative. older children tend to be taller than younger children, so the correlation between age and height in children must be positive. a researcher finds that the correlation between two variables is close to 0, so the two variables must be unrelated. taller people tend to be heavier than shorter people, so the correlation between height and weight must be positive.
The correct statement would be older men tend to have lower muscle density, so the correlation between age and muscle density in older men must be negative.
Increased time studying sets of tea time is associated with higher G. P.A. (Grade point average) This is positive. More time studying G. P. A. Life expectancy increases as body weight decreases. As the weight goes down the life expectancy goes up.
Muscle Density:Muscle mass (quantity) is highly correlated with survival in hospitalized patients with advanced cancer, whereas muscle density (quality) is associated with patients’ symptoms, health care use, and survival, according to a group of researchers
Correlation:In statistics, correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data. Although in the broadest sense, "correlation" may indicate any type of association, in statistics it usually refers to the degree to which a pair of variables are linearly related. Familiar examples of dependent phenomena include the correlation between the height of parents and their offspring, and the correlation between the price of a good and the quantity the consumers are willing to purchase, as it is depicted in the so-called demand curve.
Your body shape changes naturally as you age. You cannot avoid some of these changes, but your lifestyle choices may slow or speed the process.
The human body is made up of fat, lean tissue (muscles and organs), bones, and water. After age 30, people tend to lose lean tissue. Your muscles, liver, kidney, and other organs may lose some of their cells. This process of muscle loss is called atrophy. Bones may lose some of their minerals and become less dense (a condition called osteopenia in the early stages and osteoporosis in the later stages). Tissue loss reduces the amount of water in your
The amount of body fat goes up steadily after age 30. Older people may have almost one third more fat compared to when they were younger. Fat tissue builds up toward the center of the body, including around the internal organs. However, the layer of fat under the skin gets smaller.
The tendency to become shorter occurs among all races and both sexes. Height loss is related to aging changes in the bones, muscles, and joints. People typically lose almost one-half inch (about 1 centimeter) every 10 years after age 40. Height loss is even more rapid after age 70. You may lose a total of 1 to 3 inches (2.5 to 7.5 centimeters) in height as you age. You can help prevent height loss by following a healthy diet, staying physically active, and preventing and treating bone loss.
Learn more about GPA:
https://brainly.com/question/25117833
#SPJ4
Express 35cents to $2.25 as a ratio in its lowest terms
Answer:
7 cents:$0.45
Step-by-step explanation:
(whatever you do to one side you do the same to the other)
35 divided by 5= 7
2.25 divided by 5= 0.45
Can anyone state the vertex of the graph?
The graph has no vertex and the transformations from the parent function are
Vertical shift down 2Horizontal shift left 4How to determine the vertex?By definition, the vertex of a function is the maximum or the minimum of the function
From the graph, we can see that the graph only has a turning point; it has no maximum or minimum
So, we can conclude that there is no vertex in the graph
The transformationHere, we have:
We can see that:
The graph is 4 units to the left of the origin and 2 units below the origin
This means that the function has been shifted down and shifted to the left
Read more about vertex and transformations at
https://brainly.com/question/15709421
https://brainly.com/question/4289712
#SPJ1
a card game goes like this you draw a card from a 52-card deck. if it is a face card (jack, queen, or king), you win $7 otherwise, you lose $2 what is your expected value for this game?
The value of game is 0.0769 .
Formula for Expected Value of Game :
Expected Value of Game = ( Probability of Winning * Profit ) + ( Probability of Losing * Loss )
According to question ,
P ( getting a face card ) = 12 / 52
= 3 / 13
P ( not getting a face card ) = 1 - ( 3 / 13 )
= 10 / 13
Expected value for this game = [ 7 * ( 3 / 13 ) ] + [ ( - 2 ) * ( 10 / 13 ) ]
= 0.0769
Hence , the value of game is 0.0769 .
To learn more on expected value of game follow link :
https://brainly.com/question/10675141
#SPJ4
Paul is a keen cyclist. the chart shows the distance he cycled each day of last week. a)How much further did Paul cycle on Friday than on Monday? b)what is the total distance cycled by Paul on the three days he cycled the most?
Answer:
a) 6 km
b) 66 km
Step-by-step explanation:
a) According to the graph:
Paul cycled about 22 km on Friday.Paul cycled about 16 km on Monday.To find how much further, subtract the distance cycled those two days:
22 - 16 = 6 km
b) The three days he cycled the most are the three days with the highest lines on the graph, so that would be:
Saturday, about 24 km.Friday, about 22 km.Wednesday, about 20 km.Add them all up to find the total distance cycled:
24 + 22 + 20 = 66 km
Pls help me and give steps as to how to do it thank you
Answer: [tex]x=13, y=132[/tex]
Step-by-step explanation:
Using the same-side interior angles theorem, [tex]y=132[/tex].
Using the alternate interior angles theorem, [tex]5x-17=48 \implies x=13[/tex]
Find the HCF of 4x³yz"; 30x²y²z² and 36x³y²z³
The highest common factor (HCF) for the expression 4x³yz"; 30x²y²z² and 36x³y²z³ is 2x²yz.
What is H.C.FThe H.C.F. defines the highest common factor present in between given two or more numbers or mathematical expression.
We shall derive the HCF of the three expressions by expressing them as multiples of their factors as follows;
4x³yz = 2 × 2 × x × x × x × y × z
30x²y²z² = 2 × 3 × 5 × x × x × y × z × z
36x³y²z³ = 2 × 2 × 3 × 3 × x × x × x × y × y × z × z × z
HCF = 2 × x × x × y × z
HCF = 2x²yz
Therefore, the highest common factor for the expressions 4x³yz"; 30x²y²z² and 36x³y²z³ with the understanding of HCF is 2x²yz.
Learn more about HCF here: https://brainly.com/question/21504246
#SPJ1
Solve |2x - 3| < 7.
Answer:
5 or (-2,5)
Step-by-step explanation:
|2x-3|<7
2x-3<7
2x=10
x=5
Answer:
x < 5
Step-by-step explanation:
Add 3 to both sides of the equation. This is to balance the equation.2x - 3 + 3 < 7 + 3
Now, add 7 and 3.7 + 3 = 10
Add -3 and positive 3.-3 + 3 = 0
= 2x + 0
= 2x
Now, the problem becomes,2x < 10
Divide by 22x/2 < 10/2
Divide by 2: 10/210/2 = 5
Divide by 2: 2x2x/2 = 2/2
= x (We assume x = 1)
Divide both numbers= 5/1
= 5
Therefore,
x < 5
Hope this helps!
a column contains phone numbers such as (801)-555-1234. what function should you use to extract the last four digits?
RIGHT function should be used to extract the last four digits from a column containing phone numbers.
The Excel TEXT functions section includes the RIGHT Function[1]. A predetermined number of characters from the end of a provided text string will be returned by the function.
The RIGHT function can be helpful in the financial analysis if we want to extract characters from a text string's right side. It is typically used in conjunction with functions like VALUE, SUM, COUNT, DATE, DAY, etc.
Formula is=RIGHT(text,[num chars])
The following arguments are used by the RIGHT function:
Text is the original text string (mandatory argument).
The number of characters to be returned from the end of the provided text is specified by the optional argument Num chars. It specifies how many characters will be taken, beginning on the right side of the text. If the argument is omitted, the value of 1 by default is used.
For more information on excel functions kindly visit to
https://brainly.com/question/22264444
#SPJ4
Which of the following is the correct factorization of the polynomial below?
x³-18
A. (x+3)(x-6)
B. (x-3)(x+6)
C. (x+3)(x² - 4x+6)
D. The polynomial is irreducible.
SUBMIT
Answer: D. The polynomial is irreducible.
From the explanation below we do not get polynomial .
Step-by-step explanation:
A.(x+3)(x-6)
= x^2-6x+3x-18
=x^2-3x-18
B.(x-3)(x+6)
=(x^2+6x-3x-18)
=x^2+3x-18
C.(x+3)(x^2-4x+6)
=x^3-4x^2+6x+3x^2-12x+18
=x^2-x^2-6x+18
D.The polynomial is irreducible
What is the equation of the line in slope-intercept form?
the line perpendicular to Y = 4/9x - 6 through (5, -6)
The required equation will be y = -1/3x + 21/4 in slope-intercept form.
What is the equation of a line?The general equation of a line is y = mx + c
where m is the slope of the line and c is the intercept.
First, we need to determine the slope of the given line.
y = 4/9x - 6
Here the slope of the given line is 4/9.
The required line is perpendicular to a given line
So the required line's slope will be m₂ = -1 / (4/9) = -9/4
The line passes through the point (5, -6) which is given in the question,
Now we can use the point-slope form of a line to create the equation of the new line:
(y + 6) = (-9/4) (x - 5)
y = (-9/4)x + 45/4 - 6
y = -1/3x + 21/4
Hence, the required equation will be y = -1/3x + 21/4 in slope-intercept form.
Learn more about the lines here:
https://brainly.com/question/13738061
#SPJ1
3
3
Use exponent rules to explain why (√5)³ = √√5³.
Answer:
see image
Step-by-step explanation:
Use new exponent rules like:
A power raised to a power is the product of the powers. (power to a power, times the exponents)
and,
Square root is a half power. (Converting radicals to fractional exponents)
Also, you can multiply in any order, like since you learned multiplying (example: 2×6 is the same as 6×2)
see image.
Here's the plan:
Change the radical to a 1/2 exponent. Now 3 and 1/2 are both exponents. Rearrange the order. Rewrite in radical form again.
see image.
The proof of the equation (√5)³ = √(5³) is given below.
What is an exponent?Exponentiation is one of the mathematics operation.
Let mᵃ, where m and a are the real numbers.
And m is multiplied by a times to itself.
So, a is the exponent of m.
Given:
A radical equation,
(√5)³ = √(5³).
LHS = (√5)³
Simplifying,
(√5)³ = {(5[tex])^{1/2}[/tex]}³
= [tex]5^{3/2}[/tex]
= √(5³)
= RHS.
Therefore, (√5)³ = √(5³).
To learn more about the exponents;
brainly.com/question/30066987
#SPJ2
The complete question:
Simplify and prove the equation (√5)³ = √(5³) by using exponent rules.
¯2(*3+¯4+¯8+*7).
Please help asap
Answer:-2(3+(-4)+(-8)*7)=114
Step-by-step explanation: You wrote the equation wrong, but if you use PEMDAS that's the answer you'll get.
given that £1 = $1.62
how much is £650 in $
Answer:
$1053
Step-by-step explanation:
If we have that £1 = $1.62, then we can multiply both sides by 650 in order to get £650 on the left side of the equality. We must multiply the right side also by 650, and so we get £650=$1.62 * 650.
To do this multiplication, we can break 1.62 down simply into $1.00 +$0.6+$0.02
650*$1.00=$650, 650*$0.6=650*6/10=65*6=$390, and 650*$0.02=650*2/100=6.5*2=$13.
When we add these three products together, we get $650+$390+$13=$1053. And so, £650=$1053
PLEASE HELP QUICK!!!!
Determine the length of the line segment shown.
line segment from negative 3 comma 10 to 4 comma negative 1
13 units
12 units
7 units
3 units
The length of the line segment defined by two endpoints; negative 3 comma 10 to 4 comma negative 1 as required in the task content is; 13.04.
What is the length of the line segment?It follows from the task content that the length of the line segment whose endpoints are as given in the task content is to be determined.
Recall; The length of a line segment whose endpoints are defined by; (x1, y1) and (x2, y2) is given as;
Length = √{ (y2 - y1)² + (x2 - x1)² }
Therefore, since the given endpoints are; (-3, 10) and (4, -1), it follows that the length of the line segment in discuss is;
Length = √{ (-1 - 10)² + (4 - (-3))² }
Length = √(121 + 49)
Length = √170
Length = 13.04.
Ultimately, the length of the line segment as required is; 13.04.
Read more on length of a line segment;
https://brainly.com/question/27295147
#SPJ1