9514 1404 393
Answer:
(x, y) = (2/5, 1)
Step-by-step explanation:
Substitute for y and solve for x.
1 = -5x +3
-2 = -5x . . . . . . subtract 3
2/5 = x . . . . . . divide by -5
The solution is (x, y) = (2/5, 1).
Which expression can be used to find the surface area of the following triangular prism?
5
3
10
I mean to offence to the other person, but sadly I must prove them wrong.
Let's start by finding the area of the triangles.
Triangles:Area = 1/2 · base · height= 1/2 · 4 · 3= 1/2 · 12= 6There are two triangle faces with an area of 6 square units.
So, we add it twice.
Left rectangle:Area = base · height= 3 · 10= 30Center rectangle:Area = base · height= 4 · 10= 40Right rectangle:Area = base · height= 5 · 10= 50Finally, we add the area of them all.
Expression:6 + 6 + 30 + 40 +50.
Please mark me brainliest :))determine if the function f(x)=3-1/4x is linear. then evaluate f(-4)
9514 1404 393
Answer:
is linear; f(-4) = 4
Step-by-step explanation:
The coefficient of x in the function shown here is -1/4, and x is to the first power. It is a linear function.
f(-4) = 3 -(1/4)(-4) = 3 +1
f(-4) = 4
I NEED HELP!! please show all work
What is the exact solution to the equation?
4^(5x)=3^(x-2)
Take the logarithm of both sides. The base of the logarithm doesn't matter.
[tex]4^{5x} = 3^{x-2}[/tex]
[tex]\implies \log 4^{5x} = \log 3^{x-2}[/tex]
Drop the exponents:
[tex]\implies 5x \log 4 = (x-2) \log 3[/tex]
Expand the right side:
[tex]\implies 5x \log 4 = x \log 3 - 2 \log 3[/tex]
Move the terms containing x to the left side and factor out x :
[tex]\implies 5x \log 4 - x \log 3 = - 2 \log 3[/tex]
[tex]\implies x (5 \log 4 - \log 3) = - 2 \log 3[/tex]
Solve for x by dividing boths ides by 5 log(4) - log(3) :
[tex]\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}[/tex]
You can stop there, or continue simplifying the solution by using properties of logarithms:
[tex]\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }[/tex]
[tex]\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }[/tex]
[tex]\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}[/tex]
You can condense the solution further using the change-of-base identity,
[tex]\implies \boxed{x = -\log_{\frac{1024}3}9}[/tex]
One positive integer is 8 more than twice another. If their product is 384, find the numbers.
Answer: The numbers are 32 and 12
Step-by-step explanation:
Let say those two positve integers are x and y.
x has to be 8 more than twice y , and that could be represent by the equation
x = 2y + 8
Their product is 384 meaning that x times y has to equal to 384 , and that can also be represented by the equation xy = 384
x = 2y + 8
xy = 384
Now using both equations, substitute the value for x into the second equation and solve for y.
(2y + 8)(y ) = 384
2y^2 + 8y = 384 Subtract 348 from both sides
-384 -384
2y^2 + 8y - 384 = 0 Factor the left sides by the GCF
2(y^2 + 4y - 192) = 0
x = -b ± [tex]\sqrt{b^2 -4ac } /2[/tex]
The variables a= 1 , b=4 and c is -192
x = -4 ± [tex]\sqrt{784} /2[/tex]
x = -4 + 14 or x = -4 - 14
x = 12 or x = -16
Since we are dealing with length the value of y has to be 12.
Now that we know that y is 12 input 12 into one of the equations and solve for x.
x = 2(12) + 8
x = 24 + 8
x = 32
HELP ME!!!!! PLEASE I HAVE LIMITED TIME
Answer:
for the first blank, it is the given, so it would be PARALLELOGRAM ABCD. For the second blank, it is equal to itself, so it would be REFLEXIVE PROPERTY. For the fourth blank, i believe it would be the alternate int. angles thm. And lastly the 5th blank would be what you're proving, which is triangle ADC is congruent to triangle CBA.
Step-by-step explanation:
Plz help ASAP !!!!!!!!!!!!!!!!!!
Answer:
C. [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Change 1/3 to 2/6. Subtract 5/6 - 2/6 to get 3/6. 3/6 simplified, is 1/2.
Hope it helps!
please find the value of Y, and then pug it into 3y+10
Answer:
Your answer would be C. TRUST ME!!!
Step-by-step explanation:
Keisha is riding her bike to her friend Trina’s house to study for her Math test. • Trina lives 7 miles north of Keisha’s house. • After studying, Keisha leaves her friend’s house and goes to the ice cream shop that is 4 miles east of her friend’s house. • Keisha gets her ice cream, then rides her bike in a straight line back home. What is the total distance in miles that Keisha biked during her outing? Round your answer to the nearest tenth of a mile.
Answer:it’s f
Step-by-step explanation:
Answer:
f
Step-by-step explanation:
Which of the following ordered pairs is a solution of 2x-y=-9?
(-4,1)
(-3,-4)
(4, -1)
(3,-4)
Answer:
(4,-1)
Step-by-step explanation:
f there are 60 seconds in an minute, 60 minutes in an hour, 24 hours in a day, and 7 days in a week, how many seconds are in a week? Hint: Use a calculator to solve this problem.
Answer:
604800
Step-by-step explanation:
Find the percent change from the first value to the second.
44;55
Step-by-step explanation:
Where: 44 is the old value and 55 is the new value. In this case we have a positive change (increase) of 25 percent because the new value is greater than the old value.
The solution is 20 %
The percentage change from the first value to the second value is 20 %
What is Percentage Error?
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage error is the difference between the measured value and the true value , as a percentage of the true value
Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100
Given data ,
Let the percentage change from first value to the second value be = A
Now , the first value = 44
The second value = 55
The percentage change is calculated from the formula ,
Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100
Substituting the values in the equation , we get
Percentage Error = [ ( | 44 - 55 | ) / 55 ] x 100
On simplifying the equation , we get
Percentage Error = ( 11/55 ) x 100
Percentage Error = 100/5
Percentage Error = 20 %
Therefore , the value of A is 20 %
Hence , the percentage change from the original value is 20 %
To learn more about percentage error click :
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Kayden pays $32.04 for 6 student tickets to the basketball game. What is the cost of each student ticket ?
Answer:
Wait is this college math?
Step-by-step explanation:
$32.04 / 6 = $5.34
Answer:$5.34 per ticket
Step-by-step explanation:
32.04/6=5.34 per ticket
PLEASEEEEEE QUICKKKKKK
A produce store sold 45 red apples. If the ratio of red apples to green apples sold was 5 : 2,what is the COMBINED amount of red and green apples sold?
Please don't respond if you don't know the answer
Quadrilateral HALK is congruent to quadrilateral FORT. MZH = 60°.
m2L = 152°, and mzt = 42°. What is mzA?
mzA=
degrees
Answer: m∠A = 106°
Step-by-step explanation: Congruent Quadrilaterals are defined as a quadrilateral with equal corresponding sides and corresponding angles have the same value.
The figure below shows the two quadrilaterals and its corresponding angles.
As it is observed, m∠T corresponds to m∠K, which means they have the same value.
The sum of internal angles of a quadrilateral is 360°.
m∠A will be:
x + 60 +152 + 42 = 360
x = 360 - 254
x = 106
Angle m∠A at quadrilateral HALK measures 106°.
Can someone do this for me or help me
Help me out in this question pleaseeeeeeeee
Explain why it's important to follow the Order of Operations in Math.
Answer:
The order of operations is a rule that tells you the right order in which to solve different parts of a math problem. ... Subtraction, multiplication, and division are all examples of operations.) The order of operations is important because it guarantees that people can all read and solve a problem in the same way.
Answer:
The order of operations is a rule that tells you the right order in which to solve different parts of a math problem. Subtraction, multiplication, and division are all examples of operations.) The order of operations is important because it guarantees that people can all read and solve a problem in the same way.
Step-by-step explanation:
Help me ASAP pleasrrrrreee
In order for Mateen to walk a kilometer(1000m) in his rectangular backyard, he must walk the length 25 times or walk its perimeter 10 times. What is the area of Mateen's backyard in square meters
Answer:
400
Step-by-step explanation:
25 times the length is 1000 m.
Let length = L
25L = 1000
L = 40
10 times the perimeter is 1000 m.
Let the perimeter = P
10P = 1000
P = 100
perimeter = 2L + 2W
2(40) + 2W = 100
80 + 2W = 100
2W = 20
W = 10
The length is 40 m, and the width is 10 m.
A = LW
A = 40 m * 10 m
A = 400 m^2
Gabriel’s Graphics Company was organized on January 1, 2020, by Gabriel Medina. At the end of the first 6 months of operations, the trial balance contained the following accounts.
Analysis reveals the following additional data.
1. The $3,700 balance in Supplies Expense represents supplies purchased in January. At June 30, $1,300 of supplies are on hand.
2. The note payable was issued on February 1. It is a 6%, 6-month note.
3. The balance in Insurance Expense is the premium on a one-year policy, dated April 1, 2020.
4. Service revenues are credited to revenue when received. At June 30, services revenue of $1,300 are unearned.
5. Revenue for services performed but unrecorded at June 30 totals $2,000.
6. Depreciation is $2,250 per year.
Instructions
a. Journalize the adjusting entries at June 30. (Assume adjustments are recorded every 6 months.)
b. Prepare an adjusted trial balance.
c. Prepare an income statement and owner’s equity statement for the 6 months ended June 30 and a balance sheet at June 30.
Answer:
Gabriel's Graphics Company
a. Adjusting Journal Entries:
Debit Supplies Expense $2,400
Credit Supplies $2,400
To record supplies expenses for the period.
Debit Interest Expense $1,000
Credit Interest Payable $1,000
To record interest accrued.
Debit Insurance Expense $675
Credit Prepaid Insurance $675
To record insurance expense for the period.
Debit Services Revenue $1,300
Credit Unearned Services Revenue $1,300
To record unearned services revenue.
Debit Accounts Receivable $2,000
Credit Services Revenue $2,000
To record revenue for services performed but unrecorded.
Debit Depreciation Expense $1,125
Credit Accumulated Depreciation $1,125
To record depreciation expense.
b. Adjusted Trial Balance:
Account Titles Debit Credit
Cash $8,600
Accounts receivable 16,000
Equipment 45,000
Insurance Expense 675
Prepaid Insurance 2,025
Salaries & Wages Exp. 30,000
Supplies Expense 2,400
Supplies 1,300
Advertising expense 1,900
Rent expense 1,500
Utilities expense 1,700
Interest expense 1,000
Depreciation expense 1,125
Accumulated Depreciation $1,125
Notes Payable 20,000
Interest Payable 1,000
Accounts Payable 9,000
Owner's capital 22,000
Sales Revenue 52,100
Services Revenue 6,700
Unearned Services Revenue 1,300
Totals $113,225 $113,225
c. Income Statement for the six months ended June 30:
Sales Revenue $52,100
Services Revenue 6,700
Total Revenue $58,800
Insurance Expense 675
Salaries & Wages Exp. 30,000
Supplies Expense 2,400
Advertising expense 1,900
Rent expense 1,500
Utilities expense 1,700
Interest expense 1,000
Depreciation expense 1,125 40,300
Net Income $18,500
Owner's Equity Statement for the six months ended June 30:
Owner's Capital $22,000
Net Income 18,500
Equity Balance $40,500
Balance Sheet at June 30:
Assets:
Cash $8,600
Accounts Receivable 16,000
Supplies 1,300
Prepaid Insurance 2,025
Equipment 45,000
Less Acc. dep. 1,125 43,875
Total assets $71,800
Liabilities + Equity:
Notes Payable $20,000
Interest Payable 1,000
Accounts Payable 9,000
Unearned Revenue 1,300
Owner's equity 40,500
Total Liab. + Equity $71,800
Step-by-step explanation:
a) Data and Calculations:
1. Supplies Expense = $2,400 ($3,700 - 1,300)
Supplies balance = $1,300
2. Interest Expense on Note Payable = $1,000 ($20,000 * 6% * 5/6)
3.Insurance Expense: $675 ($2,700 * 3/12)
Prepaid Insurance = $2,025 ($2,700 - 674)
4. Unearned Services Revenue = $1,300
5. Earned Services Revenue = $6,700 ($6,000 - 1,300 + 2,000)
6. Depreciation = $1,125 ($2,250/2)
Accounts Receivable:
As per unadjusted trial balance $14,000
Services Revenue 2,000
As per adjusted trial balance $16,000
How many servings of pizza will you have if 4 pizzas are sliced into 1/6 servings?
Answer:
24 servings
Step-by-step explanation:
so if you have 4 pizzas and they are sliced into 6 pieces you multiply 4 times 6 so you get 24 servings
Answer:
24 servings. 4x6=24
Step-by-step explanation:
HELP PLEASE!
Solve for m.
3.6m = 14.4
Answer:
4m
Step-by-step explanation:
Hey, can yall answer this pls?
1 7/8÷3/4
thanks!
Answer:
IT WOULD BE 2.5 IN decimal form or it would be 5/2 and it is equivalent to 2 and 1/2
Step-by-step explanation:
Is A number decreased by four squared linear or non linear pls help
Answer:
A four squared linear
Step-by-step explanation:
please help! Due in 10 minutes, 7th grade math
Answer:
C.
Step-by-step explanation:
I predict these tingz
Answer:1/6y+1/6(y+12)-2
Step-by-step explanation:
Two-step equations. Solve 3(x +5) = 30
Answer:
5
Step-by-step explanation:
3(x+5)=30
3x+15=30
3x=15
x=5
plz mark brainliest
Is this correct or no
Please help me
Answer:
I got y = 10
or
y = 24
or the answer is y = -5x since the 4 stays the same but the -5x changes
I feel like you have to replace with x with the numbers
Step-by-step explanation:
Find the area of the smaller sector round to the nearest hundredth
Answer: I think the answer is 50 if that's not the correct answer try 45
Step-by-step explanation: Glad to help you haha
slove for x with variables. wx - y + y + c = z
please help if i get this right i get extra credit!!!!!
Answer:
[tex]x=\frac{z}{w} -\frac{c}{w}[/tex]
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
Write the system of inequalities that matches the system show below.
Answer:
4x-2
Step-by-step explanation:
