Answer:
days ≤ 6
Step-by-step explanation:
she gas 160 pages out of the 380 pages, so she needs to write other:
380 - 160 = 120 pages.
If she writes a minimum of 20 pages per day, then the maximum number of days in which she will finish the book is:
20*d = 120
d = 120/20 = 6
so d is the number of days, and we have that:
d ≤ 6.
The equality is when she only writhes 20 pages per day, and if she writes more than that, then the number of days needed will be smaller than 6.
A saleperson receives a base salary of $37,000 in commission of 8% of the total sales of the year if the sales person sells $265,000 of merchandise what is his total salary for the year
Answer:
Sale-person's total salary for the year is $ 82,050
Step-by-step explanation:
Base salary of salesperson = $37,000
commission percentage of salesperson = 17% of sales
sales made in a year = $265,000
commission for salesperson in $ = 17% of sales
commission for salesperson in $ = 17 / 100 * $265,000 = $45,050
Thus, total commission for the given year salesperson is $45,050
Total salary for year = Base salary + total commission for the given year
Total salary for year = $37,000 + $45,050 = $ 82,050 (Answer)
Triangle ABE is similar to triangle ACD. AED and ABC are straight lines. EB and DC are parallel. AE = 5 cm, BC = 4.5 cm, BE = 4 cm, CD = 9 cm The area of quadrilateral BCDE is x cm2 The area of triangle ABE is y cm2 Find an expression for y in terms of x . Give your answer as simply as possible. (3 marks)
Answer:
y = 16x/65
Step-by-step explanation:
Given:
Triangle ABE is similar to triangle ACD. AED and ABC are straight lines
EB and DC are parallel
The area of quadrilateral BCDE = xcm²
The area of triangle ABE = ycm²
Find attached the diagram from the above information.
In similar triangles, the ratio of their corresponding angles are equal.
Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.
Area ∆ACD/area of ∆ABE = (DC/EB)²
Area ∆ACD/area of ∆ABE = [(area of quadrilateral BCDE +
area of ∆ABE)]/(area of ∆ABE)
(x+y)/y = (DC/EB)²
(x+y)/y = (9/4)²
x+y = (81/16)y
x = (81/16)y - y
x = (81y - 16y)/16
x = 65y/16
Making y subject of formula
16x = 65y
y = 16x/65
An expression for y in terms of x:
y = 16x/65
An expression for y in terms of x is :
y = 16x/65
Given:
Triangle ABE is similar to triangle ACD. AED and ABC are straight lines . EB and DC are parallel The area of quadrilateral BCDE = xcm² The area of triangle ABE = ycm²Consider, the image attached:
In similar triangles, the ratio of their corresponding angles are equal.
Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.
Thus,
Area ∆ACD/area of ∆ABE = (DC/EB)²
Area ∆ACD/area of ∆ABE =
[(area of quadrilateral BCDE + area of ∆ABE)]/(area of ∆ABE)
On substituting the given values:
(x+y)/y = (DC/EB)²
(x+y)/y = (9/4)²
x+y = (81/16)y
x = (81/16)y - y
x = (81y - 16y)/16
x = 65y/16
In terms of y:
16x = 65y
y = 16x/65
Therefore, an expression for y in terms of x: y = 16x/65
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Given the function f(x) = –0.5|2x + 2| + 1, for what values of x is f(x) = 6? x = 6, x = –5 x = 5, x = –5 x = 7, x = –6 no solution
Answer:
Step-by-step explanation:
This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:
-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us
-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us
| 2x + 2 | = -10.
Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative is distance, there is no solution to this equation.
Answer:
no solution
Step-by-step explanation:
This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:
-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us
-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us
| 2x + 2 | = -10.
Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative
Choose the best estimate for the weight of a strawberry A 1 ounce B 8 ounces
Answer:1 ounce
Step-by-step explanation:
Can someone please help me I’m stuck
Answer:
6
Step-by-step explanation:
Since the two triangles are similar, their ratios of sides must be constant. Therefore:
[tex]\dfrac{9}{3}=\dfrac{x}{2} \\\\x=2\cdot 3=6[/tex]
Hope this helps!
What is the length of segment GH?
Answer:
4√5
Step-by-step explanation:
Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
Coordinates given:
H(8, 1)
G(0, -3)
d = [tex]\sqrt{(8-0)^2 + (1+3)^2}[/tex] = 4√5
Answer:
StartRoot 80 EndRoot
80 square root is the answer
Step-by-step explanation:
|GH|² = (8 - 0)² + (1 - (-3))²
|GH|² = 64 + 16
|GH|² = 80
GH = sqrt(80)
pls mark as brainliest
PLEASE HELP, SOLVE THIS PROBLEM AND GIVE ME THE ANSWER!!!
Answer:
answer B. -5
Step-by-step explanation:
hello
fg(-4)=f(-4)*g(-4)=(-4-1)(5*16-19*4-3)=-5*(80-76-3)=-5*(1)=-5
hope this helps
Answer: It is B. -5
What single decimal multiplier would you use to increase by 4% followed by a 3% increase
Answer:
1.0712
Step-by-step explanation:
if you increase by 4%, it means you will have a new total of 104%. In decimals it is 1.04 (divide your percentage by 100) after that you do the same with the 3% increase. you'll have a new total of 103%. In decimals 1.03. If you want to know what single multiplier you can use, you need to multiply the both decimals. So you get 1.04 x 1.03 = 1.0712
hope this will help you, have a nice day!
Work out m and c for the line: y = 8 x
Answer:
m = 8 and c = 0
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 8x ← is in slope- intercept form, that is y = 8x + 0
with m = 8 and c = 0
Write -1/19, 7/4, -4/7 from least to greatest
Answer:
-4/7, -1/19, 7/4
Step-by-step explanation:
The fractions converted into decimals would be -0.05, 1.75, -0.57
PLEASE HELP, SOLVE THIS PROBLEM AND GIVE ME THE ANSWER!!!
Answer:
B
Step-by-step explanation:
Recall that [tex](g \circ f)(x)=g(f(x))[/tex]. In other words, we need to find [tex]f(x)[/tex] first and then put that value into [tex]g(x)[/tex].
We need to find [tex](g \circ f)(4) =g(f(4))[/tex]
[tex]f(x)=4x-2\\[/tex]
[tex]f(4)=4(4)-2=14[/tex]
[tex](g \circ f)(4) =g(f(4))=g(14)[/tex]
[tex]g(x)=-6x^2-8x-8[/tex]
[tex]g(14)=-6(14)^2-8(14)-8[/tex]
[tex]g(14) = (g \circ f) (4) =-1296[/tex]
What is f(x) + f(x) + f(x)?
Answer:
3fx
Step-by-step explanation:
f(x)+f(x)+f(x)
remove parenthesis: (a)=a
add similar elements: fx+fx+fx
=3fx
Answer: for edge
3f(x)
3x2
12
what is the area of this title ?
Answer:
12 in^2
Step-by-step explanation:
A = l*w
= 2in * 6 in
= 12 in^2
Answer:
Area = 12 in.²
Step-by-step explanation:
Area = length × width
Where w = 2 and L = 6
So,
Area = 2 × 6
Area = 12 in.²
When you multiply a function by -1 what is the effect on its graph?
Answer:
Step-by-step explanation:
Depends on what you mean by multiplying by - 1. I assume you are not going to multiply the y or f(x) term by - 1.
If that is so, take an example. Suppose you have a graph that is y=x^2
That's a parabola that opens upwards and it has a line going through its focus which is a point on the +y axis.
When you multiply the right hand side by - 1, the graph you get will be y = - x^2.
That opens downward and the focus is on the - y axis.
That means that the effect of the graph is that it flips over the x axis, which I think is the third answer.
Answer:
c
Step-by-step explanation:
ape x
What is the y intercept of y=-3x-2? Step by step explanation please help me
Answer:
Step-by-step explanation:
The slope is 3 and the y-intercept is 2 or (0, 2)
Answer:
The y-intercept of the equation is -2.
Step-by-step explanation:
This equation is in slope-intercept form (y = mx + b). b represents the y-intercept, and m represents the slope.
What is the numerical solution to the equation five less than three times a number equals four more than eight times the numbers?
A. -9/5
B. 1/11
C. -1/5
D. 1/5
Answer:
Option A
Step-by-step explanation:
Let us first consider the equation at hand. We are given that this equation is as follows, five less than three times a number equals four more than eight times the numbers. Convert this into a numerical format;
[tex]3x - 5 = 4 + 8x[/tex]
where x = " the number "
[tex]3x - 5 = 4 + 8x,\\- 5 = 4 + 5x,\\- 9 = 5x,\\\\x = - 9 / 5 \\\\Solution - Option A[/tex]
If you wish, take a look at this verbal explanation. To solve the equation 3x - 5 = 4 + 8x, one would first subtract 3x on either side of the equation, resulting in the simplified equation - 5 = 4 + 5x. Subtracting - 4 from either side, - 5 - 4 = - 9, and so we receive - 9 = 5x. Dividing 5 on either side, x = - 9 / 5, Option A.
Lila wrote an equation of the cost for printing brochures, where x represents the number of brochures and y represents the total cost. The total cost for 35 brochures is $41.45. The total cost for 65 brochures is $55.55. Step 1: Write the ordered pairs (35, 41.45) and (65, 55.55). Step 2: Find the slope. M = StartFraction 55.55 minus 41.45 Over 65 minus 35 EndFraction = 0.47 Step 3: Find the y-intercept to write the equation in slope intercept form. Y minus 55.55 = 0.47 (x minus 35). Y minus 55.55 = 0.47 x minus 16.45. Y = 0.47 x + 39.1. Which explains the error that Lila made? Lila made in error in Step 1 by reversing the ordered pairs. Lila made an error in Step 2 by not using the slope formula. Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair. Lila made an error in Step 3 when she did not use the distributive property correctly when multiplying.
Answer:
The answer is C. Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair.
Hope this helps!
Stay safe at home :)
(those of you doing edge hang in there!)
The y intercept of the problem is equal to 25+14.1/30*x.
What is total cost?The total cost is the sum of the fixed cost and the variable cost to make a product.
How to find y-intercept?x is showing no. of bruchers
y is showing total cost.
Total cost for 35 bruchers=41.45
Total cost for 65 bruchers=55.55
The points are (35,41.45), (65,55.55)
The y intercept can be calculated as :
y-41.45=(55.55-41.45/65-35)*(x-35)
30y-14.1x=750
y=25+14.1/30*30
Hence the value of y intercept is 25+14.1/30*30.
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In a randomly generated list of numbers from 0 to 6 what is the chance that each number will occur
Answer:
In fractions, each number has a 1/6 chance of occuring. In decimals, that is around 16.6 repeating percent.
Answer:
1/7
The correct answer is 1/7
help asap. is this b or d. im not really sure so i put d.
Answer:
I'm not 100% sure but I'm pretty sure its 'D'
Answer:
the answer is b
Step-by-step explanation:
At the beach, 11% of people have white towels and 53% have blue towels. If
the rest have red, what percentage of the people at the beach have red
towels?
Answer here
SUBMIT
ASAP help plz
Answer:
36 percent.
Step-by-step explanation:
We have been given that 11 percent of people of the peach have white towels, and 53 percent have blue towels.
With this information, we can find the remaining percentage of people that have red towels.
Recall that the total percentage is always 100 percent.
lets make r for the percentage of people that have red towels.
You can solve it by changing it to fraction, decimal, or just keep it at percent.
I will show you all of the possible ways.
Percent:
11 percent plus 53 percent plus r =100 percent
combine the like terms, or add 11 plus 53 to simplify the equation.
You have 64 percent plus r =100 percent Our goal is to isolate r, so subtract both sides by 64 percent.
100-64 is 36 percent.
r=36 percent of people who have red towels.
With fractions.
Write it as 11/100 plus 53/100 plus r/100= 100/100.
Combine the fractions.
64/100 plus r/100=100/100.
Subtract both sides by 64/100.
You are left with r=36/100, 9/25, or 36 percent.
With decimals.
11 percent as a decimal is 0.11. Just move the decimal spot 2 times. In 11, since you can write it as 11.0, you move it to the right twice.
53 percent is 0.53.
r is r.
100 percent is 1.
0.11 plus 0.53 plus r=100
Combine or add 0.53 and 0.11. That is 0.64.
Subtract both sides by 0.64.
You get r to be 0.36 or 36 percent.
I hope this helps, and I hope you have a good day!
Answer:
36%[tex]percentage \: of \: people \: who\: have \: white \\ towels = 11 \\ percentage \: of \: people \: who \: have \: blue \: \\ towels = 53 \\ percentage \: of \: people \: who \: have \: \\ white \: and \: blue \: towel \\ = 11 + 53 \\ = 64 \\ percentage \: of \: people \: who \: have \ \: red \\ towels = 100 - 64 \\ \: \: \: \: \: \: \: \: \: \: \: = 36[/tex]
hope this helps ..
Good luck on your assignment
2O POINTS + BRAINLIEST || Which of these scale factors will result in an Enlargement?
A. 0
B. 1/2
C. 1
D.5
Answer:
D 5
Step-by-step explanation:
Answer:
B. 1/2?
Step-by-step explanation:
What is the value of x in the diagram below?
Answer: C
Step-by-step explanation:
IT is dividing by 6
The value of x in the given diagram of two similar triangle is 9 units.
Let us consider the name of two triangles be ABC and PQR.
Such that,
In triangle ABC,
AB = 12 , BC = 54 , m∠BAC = 90° and marked angle is ∠ABC .
In triangle PQR,
PQ = 2 , QR = x, m∠QPR = 90° and marked angle is ∠PQR .
In triangle ABC and PQR we have,
m∠BAC = 90° = m∠QPR
m∠ABC = m∠PQR (given )
By AA corollary,
Triangle ABC is similar to triangle PQR with correspondence ABC ↔ PQR.
Corresponding sides of the similar triangle are in proportion.
AB / PQ = BC / QR
⇒ 12 / 2 = 54 / x
⇒ 12x = 54 × 2
⇒ x = ( 54 × 2 ) / 12
⇒ x = 9
Therefore, the value of x in the given triangle is equal to 9 units.
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The equation a=1/2(b^1+b^2)h can be determined the area, a, of a trapezoid with height, h, and base lengths, b^1 and b^2 Which are equivalent equations?
The complete question is as follows.
The equation a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex] can be used to determine the area , a, of a trapezoid with height , h, and base lengths, [tex]b_1[/tex] and [tex]b_2[/tex]. Which are equivalent equations?
(a) [tex]\frac{2a}{h} - b_2 = b_1[/tex]
(b) [tex]\frac{a}{2h} - b_2 = b_1[/tex]
(c) [tex]\frac{2a - b_2}{h}[/tex] = [tex]b_1[/tex]
(d) [tex]\frac{2a}{b_1 + b_2} = h[/tex]
(e) [tex]\frac{a}{2(b_1 + b_2)}[/tex] = h
Answer: (a) [tex]\frac{2a}{h} - b_2 = b_1[/tex]; (d) [tex]\frac{2a}{b_1 + b_2} = h[/tex];
Step-by-step explanation: To determine [tex]b_1[/tex]:
a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]
2a = ([tex]b_1 + b_2[/tex])h
[tex]\frac{2a}{h} = b_1 + b_2[/tex]
[tex]\frac{2a}{h} - b_2 = b_1[/tex]
To determine h:
a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]
2a = [tex](b_1 + b_2)h[/tex]
[tex]\frac{2a}{(b_1 + b_2)}[/tex] = h
To determine [tex]b_2[/tex]
a = [tex]\frac{1}{2}(b_1 + b_2 )h[/tex]
2a = [tex](b_1 + b_2)h[/tex]
[tex]\frac{2a}{h} = (b_1 + b_2)[/tex]
[tex]\frac{2a}{h} - b_1 = b_2[/tex]
Checking the alternatives, you have that [tex]\frac{2a}{h} - b_2 = b_1[/tex] and [tex]\frac{2a}{(b_1 + b_2)}[/tex] = h, so alternatives A and D are correct.
La base de un rectángulo es cuatro veces su altura. Hallar el área del rectángulo si su perímetro es 120cm a) 476 b) 376 c) 476 d) 576
Answer: d) 576
Step-by-step explanation:
Datos:
Altura: h Base (b): 4h (cuatro veces su altura [h])El perímetro de un rectángulo es igual a la suma de todos sus lados:
Perímetro = 2h+2b
Reemplazando b=4h
120 =2h+ 2(4h)
Despejando h:
120 = 2h+8h
120 =10h
120/10=h
12 cm=h
Base = 4h =4(12) =48 cm
Área de un rectángulo (A)= base x altura
A = 48 x 12 = 576 cm2
In the diagram, angle OLM is twice as large as angle PON.
What is the size of angle OLM?
Answer:
112°
Step-by-step explanation:
∠OLM= 2x, ∠PON= x
∠LOK= x
∠OKL= 180-124= 56
∠OLM= ∠OKL+∠LOK
x+56°= 2x
x= 56°
2x= 112°
Which is equivalent to (9 y squared minus 4 x)(9 y squared + 4 x), and what type of special product is it?
Answer:
[tex](9y^2-4x)\,(9y^2+4x)=81y^4-16x^2[/tex]
and it is the special factor product that leads to a difference of squares
Step-by-step explanation:
The product: [tex](9y^2-4x)\,(9y^2+4x)[/tex]
is a product of the form:
[tex](a-b)\,(a+b) = a^2-b^2[/tex]
which leads as shown to a difference of squares. So they binomials [tex](a-b)[/tex] and [tex](a+b)[/tex] are the factors of the difference of squares [tex]a^2-b^2[/tex].
In our case, the product:
[tex](9y^2-4x)\,(9y^2+4x)= (9y^2)^2-(4x)^2=81y^4-16x^2[/tex]
Answer:
B
Step-by-step explanation:
*Brainliest* What is the domain of the function shown in thr table?
Answer:
Domain is { 3,5,7,9}
Step-by-step explanation:
The domain is the input values
Domain is { 3,5,7,9}
Answer:
Domain - {3, 5, 7, 9} (B)
Step-by-step explanation:
Domain - imput values, X values
Find the Y-intercept of the line graph. (Please help!)
Answer:
-2
Step-by-step explanation:
The y intercept is where the graph crosses the y axis. The graph crosses the y axis at (0, -2), so the y intercept is -2.
The y intercept is useful in slope intercept form, (y=mx+b), where b is the y intercept.
Answer: -2
Step-by-step explanation: The y-intercept of a graph is where the graph crosses or intersects the y-axis.
Notice that the graph shown here hits the y-axis at -2.
So the y-intercept of this graph is -2.
Your given side ab with a length of 6 centimeters and side bc with a length of 5 centimeters. The measure of amgel A is 30. How many triangles can you construct using these measurements?
Answer:
2
Step-by-step explanation:
The given angle is opposite the shortest of the given sides, and sin(A) < 5/6, so there are two possible solutions.
The law of sines tells you that angle C will satisfy ...
sin(C)/ab = sin(A)/bc
sin(C) = ab/bc·sin(A) = 6/5·1/2 = 3/5
The given angle is 30°, so the sum of remaining angles must be less than 150°. There are two possible angles less than 150° that have a sine of 3/5:
C₁ = arcsin(3/5) = 36.87°
C₂ = 180° -arcsin(3/5) = 143.13°
You can construct two triangles with the given measurements.
__
See the attachments for drawings of them.
Find the 96th term of the arithmetic sequence -16, -28, -40, ...
Answer:
1124.
Step-by-step explanation:
The common difference (d) is -16 - (-28) = 12, ( also -28 - (-40) = 12).
The nth term of an A.S. is a1 + d(n - 1) where a1 = first term, d=common difference.
so the 96th term of the given A.S. is:
-16 + 12(96 - 1)
= -16 + 12*95
= 1124.
-1156Answer:
Step-by-step explanation: