Answer:
440 computers in warehouse B
Step-by-step explanation:
1030=A+B
A=b+150
replace the formula.
a=b+150
so replace the "a"+b=1030
so then it'd be b+150+b=1030
now that's easy.
2b+150=1030
-150 -150
2b=880
/2 /2
b=440
At the end of a football season a coach is adding up everyone's scores nathan has scored 11 more than harry harry has scored 10 more then jack. If the total of their scores is 91, how much did harry score
Answer:
Harry has a score of 30
Step-by-step explanation:
Let us represent their scores as:
Nathan = x
Harry = y
Jack = z
At the end of a football season a coach is adding up everyone's scores
Nathan has scored 11 more than harry
x = y + 11
Harry has scored 10 more then jack.
y = z + 10
z = y - 10
If the total of their scores is 91
x + y+ z = 91
y + 11 + y + y - 10 = 91
3y + 1 = 91
3y = 91 - 1
3y = 90
y = 90/3
y = 30
Since Harry's score is represented as y, Harry has a score of 30
A sum of money amounts to ₹9800 after 5 years and ₹12005 after 8 years at the same rate of simple interest. What will be the rate of interest?
[Irrelevant answers will be reported]
Answer:
12%
Step-by-step explanation:
We can get SI of 3 years = 12005 - 9800 = 2205
SI for 5 years = (2205/3)*5 = 3675 [so that we can get principal amount after deducting SI]
Principal = 12005 - 3675 = 6125
So Rate = (100*3675)/(6125*5) = 12%
The area of a rectangular warehouse measures 4,288 square feet. The width of the warehouse is 64 feet long. Draw a model to represent the problem, and then solve for the length of the warehouse.
Answer:
67 feet
Step-by-step explanation:
Step one:
given
The area of a rectangular warehouse measures 4,288 square feet
The width of the warehouse is 64 feet long.
Required:
the length of the warehouse
Step two:
The expression for the area of a rectangle is
A= L*W
so, for the situation
4,288= L*64
solve for L
divide both sides by 64
L= 4,288/64
L=67 feet
Gaby says that is equivalent to . Do you agree or disagree? Explain your thinking.
Answer:
I do not agree with the student because there is no real solution. Solving the equation only gives possible solutions, but you must check them in the original equation. Checking the solution in the original equation shows that 4 is an extraneous solution.
Step-by-step explanation:
idk if that's the same question i had, but that was the answer for mine. hehehe good luck.
is that on edge?
Figure ABCD is a trapezoid. Find
the value of x.
Answer:
Step-by-step explanation:
because we have a kite,
AB=AD
4x=x+15
4x-x=15
3x=15
x=5
Find the measure of the indicated side. Round to the nearest tenth.
Answer:
x=23.5
Step-by-step explanation:
[tex]cos59.3=\frac{12}{x}\\x(cos59.3)=12\\x=\frac{12}{cos59.3}\\x=23.5[/tex]
Gill had less money than Roddy had
After Roddy spent 40% of his money,
he had $14 less than Gill. How much
money did Gill initially have?
Answer:
50
Step-by-step explanation:
Answer: the answer is 50
Step-by-step explanation:
How many sides does a regular polygon have if each of its interior angles is 140 degrees?
- Step by step explanation
Enter the sum in simplest form. pls answer I give brainliest
Answer:
2/5
Step-by-step explanation:
2/10+2/10=4/10
4/10 divided by 2/2= 2/5
Hope this helps!
Answer;
2/10 + 2/10 is 4/10 and then simplified it would be 2/5 because 2 goes into both 4 and 10.
2/10 + 2/10 = 4/10
4/10 = 2/5
Hope this Helps!
the value of a second-hand car is £8000. Each year it loses 20% of its value at the start of this year. work out its value in 5 years time
pls answer,I will also mark the brainest and I will rate 5 out of 5 stars pls show working out
Answer:
the value in the five years is £2,621.44
Step-by-step explanation:
The computation of the value in the five years is given below:
= The value of the second car × (1 - losses percentage)^number of years
= £8,000 × (1 - 0.20)^5
= £8,000 × 0.80^5
= £8,000 × 0.32768
= £2,621.44
Hence, the value in the five years is £2,621.44
We simply applied the above formula so that the correct value could come
And, the same is to be considered
PLEASE HELP ME ASAP!! ILL GIVE YOU POINTS AND BRAINLIEST IF YOU ANSWER ALL 3 TRUE OR FALSE QUESTIONS CORRECTLY.
A) Slope=8 True or False?
B) Unit Rate= $8/hour True or False?
C) The equation of this relationship is y= 1/8x True or False?
Answer:
True, True, False.
Step-by-step explanation:
A) Rise/Run is 8/1
B) 8 dollars are earned every hour
C) Correct equation is y=8x
Solve for V in V= s^3, if s= 4.
V=
Answer:
64
Step-by-step explanation:
v = s^3
v = (4)^3 [4x4x4]
v = 64
Which is the equation of a hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6)?
Given:
Hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6).
To find:
The equation of hyperbola.
Solution:
We have, directrices at y = ±2 so this hyparabola is along the y-axis.
The standard form of hyperbola is
[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex] ...(i)
where, (h,k) is center, foci are [tex](h,k\pm c)[/tex] and directrix are [tex]y=k\pm \dfrac{a^2}{c}[/tex].
On comparing foci, we get
[tex](h,k\pm c)=(0,\pm 6)[/tex]
[tex]h=0,k=0,c=6[/tex]
On comparing directrix we get
[tex]k\pm \dfrac{a^2}{c}=\pm 2[/tex]
[tex]\dfrac{a^2}{c}=2[/tex]
[tex]\dfrac{a^2}{6}=2[/tex]
[tex]a^2=12[/tex]
Now,
[tex]a^2+b^2=c^2[/tex]
[tex]12+b^2=(6)^2[/tex]
[tex]b^2=36-12[/tex]
[tex]b^2=24[/tex]
Putting [tex]h=0,k=0,a^2=12,b^2=24[/tex], we get
[tex]\dfrac{(y-0)^2}{12}-\dfrac{(x-0)^2}{24}=1[/tex]
[tex]\dfrac{y^2}{12}-\dfrac{x^2}{24}=1[/tex]
Therefore, the equation of hyperbola is [tex]\dfrac{y^2}{12}-\dfrac{x^2}{24}=1[/tex].
Answer:
the person above has the right answer. I took the test.
Step-by-step explanation:
The person above is correct.
Which equation is equivalent to 3 + 5(x + 2) = 12? A 8x + 16 = 12 B 8x + 2 = 12 C 5x + 5 = 12 D 5x + 13 = 12
Answer:
D 5x + 13 = 12
Step-by-step explanation:
3 + 5(x + 2) = 12
3 + 5x + 10 = 12
5x = -1
x = -1/5
D) 5x + 13 = 12
5x = 12 - 13 = -1
x = -1/5
please help me with this question
Answer:
B. 36
Step-by-step explanation:
The regular price of a t shirt is $18 what is the discount price???
Answer: $14.40
Step-by-step explanation:
The regular price of a jacket is $62.00. If the discount rate is 15%, how much was the discount?
Discount amount = price x discount percentage as a decimal:
Discount amount = 62.00 x 0.15 = 9.30
Discount = $9.30
Answer:
$52.70
Step-by-step explanation:
Under his cell phone plan, Elijah pays a flat cost of $64.50 per month and $5 per gigabyte. He wants to keep his bill at $87.50 per month
Given: ∠ABC is a right angle and ∠DEF is a right angle.
Prove: All right angles are congruent by showing that ∠ABC ≅∠DEF.
What are the missing reasons in the steps of the proof?
A flow chart with 4 boxes that are labeled Given, A, B, C from left to right. Box Given contains angle A B C, angle D E F are right angles. Box A contains m angle A B C = 90 degrees and m angle D E F = 90 degrees. Box B contains m angle A B C = m angle D E F. Box C contains angle A B C is-congruent-to angle D E F.
A:
B:
C:
Answer:
Step-by-step explanation:
A right angle is an angle whose measure is equal to [tex]90^{o}[/tex]. As the measure of two right angles equals angle on a straight line, while four right angles equal the sum of angles at a point.
Given: <ABC, <DEF are right angles.
The missing reasons in the steps of the proof are:
A: m<ABC = [tex]90^{o}[/tex] and m<DEF = [tex]90^{o}[/tex] (Meaning of a right angle)
B: m<ABC = m<DEF (By right angle property)
C: <ABC ≅ <DEF (Congruence property of angles)
Answer:
A: definition of right angle
B: substitution property
C: definition of congruent angles
Step-by-step explanation:
pleaseeee helppppp correctly !!!!!!!!!!!!!! will mark Brianliesttttt !!!!!!!!!!!!!!
Answer:
probably 25
Step-by-step explanation:
Divide 3ab by 2c in algebraic expression
Answer:
[tex]\frac{3ab}{2c}[/tex]
Step-by-step explanation:
An algebraic expression is an expression consists of constants, variables, and the algebraic operations: addition, subtraction, multiplication and division.
Given: algebraic expressions are [tex]3ab,2c[/tex].
To divide: [tex]3ab[/tex] by [tex]2c[/tex]
Solution:
[tex]\frac{3ab}{2c}[/tex]
There are no common terms in numerator and the denominator.
So, answer is [tex]\frac{3ab}{2c}[/tex]
Type the correct answer in each box. Use numerals instead of words.
Micah is keeping track of how much he spends this month on gas. In the first week, he bought x gallons of gas at $2.39 per gallon. In
the second week, he bought 3 fewer gallons of gas than the first week at $2.49 per gallon. So far this month, he has spent a total
$46.21 on gas.
In the first week, Micah bought
gallons of gas
in the second week, Micah bought
gallons of gas
Answer:
Micah bought 11 gallons of gas in the first week and 8 gallons of gas in the second week
Step-by-step explanation:
Answer:
Step-by-step explanation:
Micah bought 11 gallons of gas in the first week and 8 gallons of gas in the second week
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-15x^2+801x-5900
Answer:
The widgets should be sold for $26.7 for the company to make the maximum profit.
Step-by-step explanation:
Given the quadratic equation
[tex]f\left(x\right)=-15x^2+801x-59000[/tex]
As the leading coefficient is (-3), so the graph would be a downward Parabola.
Thus, the maximum profit would be at the vertex.
The selling price 'x' can be determined by determining the x-coordinate of the vertex.
In order to calculate the x-coordinate of the vertex, we can find this by
x = -b/2a
where a = -15 and b = 801
x = -801 / 2(-15)
x = -801/-30
x = 801/30
x = 267/10
x = 26.7
Therefore, the widgets should be sold for $26.7 for the company to make the maximum profit.
Is 4/5 greater than 5/6?
Answer:
5/6 is greater than 4/5
Step-by-step explanation:
4/5 = 0.8
5/6 = 0.833333
Answer:
no
Step-by-step explanation:
5/6 is greater than 4/5
Find the products in simplest form. 12 25 • 15 16 =
Answer:
9/20
Step-by-step explanation:
12 * 15
---------
25 x 16
180/400
To reduce, find the greatest common factor of 180 and 400.
180 / 20
-----------
400 / 20
Your answer would simplify to 9/20.
where does (3.5,1.75) go on a coordinate plane?
A school club wants to collect at least 500 canned goods for a school food drive. The club has already collected 30 canned goods
Part A
If 10 club members each collect the same number of canned goods, which inequality represents the minimum number of canned goods, n, each club
member must select for the club to meet the goals?
Answer:
The correct answer is 10n ≥ 470.
Step-by-step explanation:
Since, the school club wants to collect at least 500 canned goods, then we know that they don't want to collect any less: they must collet 500 or more canned goods.
They already collected 30 canned goods, therefore we can subtract this quantity from out goal.
500 - 30 = 470
Since there are 10 club members, the number of members multiplied by "n" the minimum amount of canned goods that they can collect, will equal the total amount of canned goods that they need.
Hope this helps! :D
20 points each math answer with optional explination
Which of the following is not a condition that must be met before you can use the quadratic formula to find the solutions of an equation?
Options in picture
A plant is already 8.75 meters tall, and it will grow 25 centimeters every month. the plants height, H (in meters), after x months is given by the following function H(x)=0.25x+8.75 What is the plants height after 40 months?
Answer:
18.75 meters
Step-by-step explanation:
8.75 + 0.25(40) = 18.75
pleasee help me ASAP ITS DUE SOON
I just need to know
1. slope
2. y-intercept
3. slope intercept form
(-5, 2) ⇒ x₁ = -5, y₁ = 2
(7, -1) ⇒ x₂ = 7, y₂ = -1
Slope:
[tex]\bold{m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-2}{7+5}=\dfrac{-3}{12}=-\dfrac14}[/tex]
Slope intercept form:
y = mx + b
Plug m and (7, -1) :
-1 = -¹/₄(7) + b
-1 + ⁷/₄ = b
b = ³/₄ ← y-interceptTherefore slope intercept form of h(x):
h(x) = -¹/₄x + ³/₄