Find the length of the second base of a trapezoid with one base measuring 18 feet, a height of 5.3 feet, and an area of 125.4 square feet.
Answer:
29.32 feet
Step-by-step explanation:
area of a trapezoid = height/2 * (first base + second base)
125.4 = 5.3 / 2 * (18 + second base)
125.4 = 2.65 * (18 + second base)
We want to solve for the second base. To do this, we can start by isolating the (18+second base) by dividing each side by 2.65
47.32 = 18 + second base
subtract 18 from both sides to solve for the second base
29.32 = second base
During crawfish season, Xavier sells crawfish for $62. 50 per sack and charges a $20. 00 delivery fee. Write an equation that could be used to determine y, the total cost of x sacks of crawfish delivered to a customer.
The equation that could be used to determine y, the total cost of x sacks of crawfish delivered to a customer is y = 20 + 62.50x
Given:
cost per sack of crayfish = $62. 50
Delivery fee = $20. 00
y = Total cost
x = sacks of crawfish
The equation:
Total cost = Delivery fee + cost per sack of crayfish(sacks of crawfish)
y = 20 + 62.50x
Therefore, the equation that could be used to determine y, the total cost of x sacks of crawfish delivered to a customer is y = 20 + 62.50x
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Factorize (x-y)^2+(x-y)
..............answer..
Which system of equations is equivalent to the following system? (5 points) 2x + 4y = 14 4x + y = 20
a.2x + 4y = 14
−16x − 4y = −80
b.2x + 4y = 14
−4x + y = −20
c.4x + 8y = −28
4x + y = 20
d.−2x − 4y = 14
4x + y = 20
Answer:
a.
Step-by-step explanation:
4x+y=20 multiplied by (-4) gives you -16x-4y=-80
In two or three sentences, summarize what the essay suggests could help women succeed in
business. How does the summary help you identify Sandberg's message, audience, and
purpose?
The essay suggests women first need to end with internal barriers to succeed in business and this will later destroy external barriers. This helps identify the author's main message, audience, and purpose because it shows the main idea of the essay.
Lean In is an essay by Sheryl Sandberg about gender inequality and the way this inequality has prevented women from being successful and represented in specific areas including government and business.
About business, Sandberg suggests women are quite limited if compared to men due to sexism, sexual harassment, and even internal barriers women create. To stop this situation the author proposes women need to destroy internal barriers such as:
Believing they should do most of the housework and childcare-Believing they cannot be as successful as other women.Holding themselves due to unequal conditions.Moreover, this idea helps identify other elements of the text by stating the main purpose.
Main message: Women need to destroy mental and internal barriers.Audience: Women.Purpose: To inspire women to end inequality.Note: This question is incomplete because the text it refers to it is not given; here is the information about the text.
"Lean In: Women, work, and the will to lead" by Sheryl Sandberg.
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The 250 gallons of maple sap will be
boiled until only 3% of its original
volume is left. How many gallons are
left?
Answer:
7.5 gallons
Step-by-step explanation:
3 x 250/100
= 7.5
Which of the following ordered pairs is the solution to the following system of equations?
X + y = 11
x - 4y = -14
(5,6)
(5-6)
(6,5)
(6,-5)
on a number line, the directed line segment from q to s has endpoints q at –8 and s at 12. point r partitions the directed line segment from q to s in a 4:1 ratio.which expression correctly uses the formula (startfraction m over m n endfraction) (x 2 minus x 1) x 1 to find the location of point r?
The location of the point R will be at [tex]R(x, y) =(\frac{-32}{5}, \frac{12}{5} )[/tex]
The midpoint formula is expressed according to the formula;
[tex]R(x, y) = (\frac{ax_1+bx_2}{a+b},\frac{ay_1+by_2}{a+b})[/tex]
where;
a and b are the ratiosGiven the coordinates Q(-8, 0) and S(12, 0) partitioned in a 4:1 ratio, the coordinate of point R will be expressed as:
[tex]R(x, y) = (\frac{4(-8)+0}{4+1},\frac{1(12)}{4+1})\\R(x, y) =(\frac{-32}{5}, \frac{12}{5} )[/tex]
Hence the location of the point R will be at [tex]R(x, y) =(\frac{-32}{5}, \frac{12}{5} )[/tex]
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10. Sarah wants to buy shirts for her school's
graduation party. A company will make the
shirts for $10.50 each plus a $50 setup
charge. If Sarah has $1000, which inequality
could she use to find the maximum number
of x shirts she can buy?
Answer:
1000 ≥ 10.50x + 50
Step-by-step explanation:
≥ is a greater than or equal to sign. We want to know how many she could possibly buy.
Write a compound inequality that the graph could represent.
Answer:
k < -4 or k > 13
Step-by-step explanation:
Let's take a look at the graph, we can see that the arrows point towards both directions, both dots are open, meaning that we can only have < and > signs. We can see that the arrow pointing to the left contains numbers that are less than -4, so that part of the compound inequality must be k < -4. And on the other side, they are numbers that are greater than 13, so that part must be k > 13. Thus, the answer must be d.
Hopes this helps.
Plz, Help Me!!!
Which graph represents the equation (x + 4)^2 + (y + 5)^2 = 36?
Answer:
d
Step-by-step explanation:
the center of the circle is at (-4. -5) with a radius of 6
Find the slope of the line passing through the points (-8, -3) and (-3,4).
Answer:
7/5
Step-by-step explanation:
4 + 3 = 7
-3 + 8 = 5
7/5
The volleyball team is having a carwash fundraiser. The cost of each car wash is $5. They sold some season ticket packages, which brought in $1640. The goal of the team is to make at least $2000 from the combined totals of the two fund-raisers. How many cars must they wash in order to meet the team goal of $2000?
Answer:
They need to wash 72 cars
Step-by-step explanation:
2000 - 1640 = 360
360/5 = 72
Three coffee and two muffins cost a total of 7 dollars. Two coffees and four muffins coast a total of 8 dollars. What is the individual price for a single coffee and a single muffin?
Step-by-step explanation:
Given,
3 coffee + 2 muffins = $7
and
2 coffees + 4 muffins = $8
let the coffee be x and muffins be y.
so now, we got
3x + 2y = $7 -----------(eqⁿ 1)
2x + 4y = $8 -------------(eqⁿ 2)
multiply (eqⁿ 1) by 2
we got,
2(3x + 2y = $7) = 6x + 4y = $14 -----(eqⁿ 3)
now, subtract (eqⁿ 2) from (eqⁿ 3)
we got,
(6x - 4y = $14) - (2x + 4y = $8)
we got,
4x = $6
x = 6/4 = $1.5
to get value of y put the value of x in eqⁿ2
we got,
→ 2(1.5) + 4y = $8
→ 3 + 4y = 8
→ 4y = 8 - 3 = 5
→ y = 5/4 = $1.25
hence,
value of one coffee = $1.5
value of one muffin = $1.25
Hope this answer helps you dear! take care!.
Solve for x
1. x + 4x = 90
Answer:
First, you combine like terms.
Then, you divide both sides of the equation by the same term.
Next, you simplify.
Lastly, you have your solution, which is x= 18
Step-by-step explanation:
Hope this helps!
In the partially shown sequence: …, 17711, A, B, 75025, …, each new term is the sum of the two previous terms. Find the whole number value of A. I GIVE BRAINLIEST!
Answer:
24513
Step-by-step explanation:
What is the end behavior of the function shown in the graph above?
A
As x approaches 0, y approaches 15.
As x approaches 25, y approaches 0.
B
As x approaches∞, y approaches 0.
As x approaches −∞, y approaches ∞.
C
As x approaches 0, y approaches ∞.
As x approaches ∞, y approaches −∞.
D
As x approaches ∞, y approaches 0.
As x approaches ∞, y approaches ∞.
Answer:
B
Step-by-step explanation:
if 4.5 pounds of cherries cost $10 , what is the unit price per pound ? A.$0.22 B.$0.45 C. $2.22
Answer:
C
Step-by-step explanation:
Divide the price by the weight 10 / 4.5 = $2.22 per pound
please please help!! it’s geometry and im struggling really badly
Answer:
10. SAS
11. SAS
12. SAS
13. SSS
14. SSS
15.ASA
Step-by-step explanation:
help please, put how you found it out if you can too !
Answer:
104 degrees
Step-by-step explanation:
180-(180-(180-(25+85)+65)+31)
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Answer:
y = 3x
Step-by-step explanation:
Let's select two points from the given graph.
(1,3) (3,9)
Now, let's use slope formula to find the slope.
m = y2-y1/x2-x1
= 9-3/3-1
= 6/2
= 3
Let's substitute/plug this value into the slope-intercept form.
y = 3x + b
We can see that the y-intercept is 0, from the graph.
b = 0
Therefore,
y = 3x
Elisa and Teresa are comparing weights. If Elisa weights 52 1⁄4 kilograms
and Teresa weighs 49 4/9 kilograms, what is the difference in their
weights?
Answer:
[tex]52\frac{1}{4\\}[/tex] - [tex]49\frac{4}{9}[/tex] = [tex]\frac{101}{36}[/tex]
Step-by-step explanation:
First, we have to convert the mixed fractions to improper fractions
[tex]52\frac{1}{4\\}[/tex] = [tex]\frac{4 x 52 +1}{4}[/tex] = [tex]\frac{209}{4}[/tex]
[tex]49\frac{4}{9}[/tex] = [tex]\frac{9 x 49 + 4}{9}[/tex] = [tex]\frac{445}{9}[/tex]
[tex]\frac{209}{4}[/tex] - [tex]\frac{445}{9}[/tex] = [tex]\frac{1881}{36}[/tex] - [tex]\frac{1780}{36}[/tex] = [tex]\frac{101}{36}[/tex]
We cannot simplify [tex]\frac{101}{36}[/tex] so it is the final answer
what is 100,100,100,987 times 72
Answer: 7207207271064
Graph the solution to this system of linear inequalities, and describe the meaning of the intersection of all 3 inequalities. HELP ASAP PLEASE!!!
Answer:
Step-by-step explanation:
Coordinates ( x, y ) from "red area" satisfy all three inequality.
A project will take 720 person-days to complete. How many days will it take to complete the project if 5 people work on it?
Translate math sentence in solution.
1.Nine more than a number.
2.One half multiplied by a number.
3.Three more than half of a number.
4. A number increased by seven.
5.Quotient of a number and two tenths.
6.Product of four and a number.
7.Two cubed divided by a number.
8.Difference of ten and a number.
9.Five squared minus a number.
10.Twenty-nine decreased by a number.
Answer:
[tex]x + 9[/tex]
[tex] \frac{1}{2} \times x[/tex]
[tex]0.5x + 3[/tex]
[tex]x + 7[/tex]
[tex]0.2x[/tex]
[tex]4x[/tex]
[tex] {2}^{3} \div x[/tex]
[tex]10 - x[/tex]
[tex] {5}^{2} - x[/tex]
[tex]29 - x[/tex]
GRAPHING LINEAR EQUATIONS PLEASE HELP
y=2/5x -3
how do i graph this? i don't know where to start please help!
Step-by-step explanation:
you can let
x = 0 => y = -3, point ( 0,-3)y = 0 => x = -15/2 = -7.5, point (-7.5,0)then connect this 2 points
hi pls help me solve this
Answer:
-23.33
Step-by-step explanation:
C = 5/9 (F - 32)
C = 5/9 (-10 - 32)
C = 5/9 (-42)
C = -23.33
you travel 90 miles in 1.5 hours. find the speed you travel.
Answer:
60 mph
Step-by-step explanation:
help ASAP please hmmmm
Answer:
D. The Number 0.55 Is A Rational Number Because It Can Be Written As The Fraction 11/20.
Step-by-step explanation: