Answer:
6773.00
Step-by-step explanation:
(6500x0.014)3=273
6500+273=6773.00
HELP PLEASE! :( The temperature of a cup of coffe changed by -54°F over 22 1/2 minutes. What was the change in temperature each minute?
A coffee's temperature changed by -54°F in =
[tex] = 22\frac{1}{2} \: minutes[/tex]
The temperature change in the coffee each minute :-
[tex] = - 54 \div 22\frac{1}{2} [/tex]
[tex] = - 54 \div \frac{(2 \times 22 + 1)}{2} [/tex]
[tex] = - 54 \div \frac{45}{2} [/tex]
[tex] = - 54 \times \frac{2}{45} [/tex]
[tex] = \frac{ (- 54 \times 2)}{ \: \: 45} [/tex]
[tex] = \frac{ - 108}{ \: \: \: 45} [/tex]
[tex]\color{magenta} = - 2.4°F[/tex]
Therefore , the temperature change in the coffee each minute was = -2.4°F .
When multiplying two variables, how is using the
Distributive Property similar to using a table?
Newton's third law states that if object A exerts a force on object B, object B must respond with a force of equal size and in the opposite direction. This law reflects nature's symmetry: forces always exist in pairs, and one body cannot exert a force on another without experiencing one.
The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2. 3(10 + 2) = ? According to this property, you can add the numbers and then multiply by 3.
8. Which pair of lines must be parallel?
A. p and r
B. g and s
C. p and s
D. q and r
Answer:
The answer is q and r
Step-by-step explanation:
The lines that are parallel are p and r.
Option A is the correct answer.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
From the figure,
There are four lines p, q, r, and s.
Now,
The lines p and r are parallel.
Thus,
p and r lines are parallel.
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PLEASE HELP QUICK!!! Find the value of x, when |x1 = 2 and x > 0.
Answer:
⁰00000000⁰. woeidj.edj
Answer:
2
Step-by-step explanation:
| x | = 2
| x | is absolute value of x, which may be +ve, or, -ve as well.
x can be 2, or - 2.
But here, we are given with x > 0. It means x is greater than 0, it cannot be -ve.
So, x = + 2 = 2
Does anyone know the answer to number 3?
Answer:
[tex](-3, 5)[/tex]
Step-by-step explanation:
Isolate x from the first equation:
[tex]x=\frac{11-4y}{3}[/tex]
Now, substitute it in the second equation:
[tex]\begin{bmatrix}2\cdot \frac{11-4y}{3}+y=-1\end{bmatrix}[/tex]
This gives you:
[tex]\begin{bmatrix}\frac{22-5y}{3}=-1\end{bmatrix}[/tex]
So, you conclude: y = 5
Next, we substitute y = 5 into [tex]x=\frac{11-4y}{3}[/tex]
So, we get:
[tex]x=\frac{11-4\cdot \:5}{3}[/tex]
Then:
[tex]x=-3[/tex]
Finally, we have to put it into the coordinate form:
[tex](-3, 5)[/tex]
Write the equation of the line that passes through point (-4, 3) and has a
slope of 5.
Answer:
y = 5x +23
Step-by-step explanation
y = mx + b
the gradient ; m = 5 (given)
to find y=int, b, plug in the coordinate into y = mx + b;
3 = 5(-4) + b
3 = -20 + b
b = 23
so, we got y = 5x + 23
Find the inverse function of y=8x.
Answer:
x/8
Step-by-step explanation:
how I see the problem I just put the 1 over the 8 because you can't really do anything else with the problem
The inverse f'^{-1}x of the given function is x/8
Given the function y = 8x, we are to find the inverse of the function.
Replace y with x
x = 8y
Make y the subject of the formula
x = 8y
Divide both sides by 8\
x/8 = 8y/8
x/8 = y
Swap sides
y = x/8
Hence the inverse f'^{-1}x of the given function is x/8
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Tariq pays $41.85 for 5.5 pounds of salmon. What is the price per pound of the salmon.
Answer:
$7.61 per pound
Step-by-step explanation:
41.85/5.5 = 7.61
Answer:
7.6090909090909
Step-by-step explanation:
41.85 divided by 5.5= this and that's a way to find your answer.
And for the answers there is 5 09's.
so like 7.609
09 09 09 09 09
so=7.6090909090909
Hope it helps have a great day:)
please help with question
Answer:
We can assume angles 102° and angles 0 and 42° are alternate interior angles.
So, to solve for 0, we must add this unknown angle to 42° and make it equal to 102°;
Let's make '0', x(our variable we solve for)
x + 42 = 102
-42 -42
x = 60
Jennifer has a beginning balance of $4,750 in her Checking account. After depositing a paycheck (p), she writes a check (c), and another check (d). After writing the checks, she withdraws money from an ATM (a), then gets refunded some money (r) for returning a pair of shoes she bought. Write an Algebraic Expression that models the situation.
Answer:
An Algebraic Expression that models the situation is [tex]4750+p-c-d+r[/tex]
Step-by-step explanation:
Beginning balance of Jennifer=$4750
Now she deposits a paycheck = p
So, New balance = 4750+p
Now she writes a check = c
Remaining balance = 4750+p-c
Now she writes a check = d
Remaining balance = 4750+p-c-d
Now refunded some money (r) for returning a pair of shoes she bought.
New balance = 4750+p-c-d+r
Hence an Algebraic Expression that models the situation is [tex]4750+p-c-d+r[/tex]
Translate the following statement into an algebraic expression:
Five times the subtraction of 8 from y
Answer:
y=8(-5)
Step-by-step explanation:
Im not so sure :/
In Psychology 101, the ratio of the number of girls to the number of boys is $3:1$. After one girl drops the class and three more boys sign up, the ratio of the number of girls to the number of boys becomes $5:2$. How many students are in the class after these changes?
Answer:
There are 68 students in the class after these changes.
Step-by-step explanation:
g = number of girls
b = number of boys
Because the ratio of girls to boys is 3:1, initally the equation was
g = 3b
Finally, we have
g-1 girls because one girl dropped the class
b+3 boys because three more boys signed up
Because the new ratio of girls to boys is 5:2, the new equation is
(g - 1)/(b + 3) = 5/2
Cross multiply.
2(g - 1) = 5(b + 3)
2g - 2 = 5b + 15
2g - 5b = 17
Then, substitute g (which is 3b because the first equation was g = 3b)
2(3b) - 5b = 17
b = 17
g = 3b = 3*17 = 51
g = 51
The final number of students in the class = 17 + 51 = 68
Answer: 68
A recipe for 12 waffles calls for 112 cups of milk, 214 cups of flour, and 113 cups of other ingredients. 4 pts each/16 pts total A... What is the total number of cups of ingredients needed for 12 waffles?... B... What is the total number of cups of ingredients needed for 36 waffles? .... C... If the milk is reduced to 1 cup and the amount of 'other ingredients' (not including the flour) is increased to 2 cups, would the total amount of ingredients for 12 waffles increase or decrease from the original recipe? Justify your thinking... D... If a baker has a 5 pound bag of flour, which is approximately 17 cups of flour, how many complete recipes for 12 waffles can the baker make?... Justify your thinking...
This question was not written properly
Complete Question
A recipe for 12 waffles calls for 1 1/2 cups of milk, 2 1/4 cups of flour, and 1 1/3 cups of other ingredients.
Answer:
A 5 1/12 cups of ingredients
B 10 1/6 cups of ingredients
C The total amount of ingredients for 12 waffles would increase from the original recipe.
D 7.56 or 7 5/9 recipes
Step-by-step explanation:
A... What is the total number of cups of ingredients needed for 12 waffles?...
The total number of cups of ingredients needed =
1 1/2 cups of milk + 2 1/4 cups of flour + 1 1/3 cups of other ingredients
(1 + 2 + 1) + (1/2 + 1/4 +1/3)
4 + ( 6 + 3 + 4/12)
4 + (13/12)
4 + (1 1/12)
= 5 1/12 cups of ingredients
B... What is the total number of cups of ingredients needed for 36 waffles? ....
If 12 waffles requires = 5 1/12 cups of ingredients
36 waffles =
Cross Multiply
= (36 waffles × 5 1 /12)/12 waffles
= 10 1/6 cups of ingredients
C... If the milk is reduced to 1 cup and the amount of 'other ingredients' (not including the flour) is increased to 2 cups, would the total amount of ingredients for 12 waffles increase or decrease from the original recipe?
Justify your thinking...
Original recipe.
A recipe for 12 waffles calls for 1 1/2 cups of milk, 2 1/4 cups of flour, and 1 1/3 cups of other ingredients = total of 5 1/12 cups of ingredients
Current recipe
1 cup of milk + 2 1/4 cups of flour + 2 cups of other ingredients
1 + 2 + 2 + (1/4)
5 1/4 cups of ingredients
Therefore, total amount of ingredients for 12 waffles would increase from the original recipe. This is because when you subtract 5 1/12 from 5 1/4 you get a difference of 1/6 cups
5 1/4 - 5 1/12 = 1/6
D... If a baker has a 5 pound bag of flour, which is approximately 17 cups of flour, how many complete recipes for 12 waffles can the baker make?... Justify your thinking...
The original recipe has 2 1/4 cups of flour as its quantity for 12 waffles
Hence:
2 1/4 cups of flour = 12 waffles
17 cups =
17 × 12/2 1/4
= 204÷ 2 1/4
= 204 ÷ 9/4
= 204 × 4/9
= 90.666666667 or 90 2/3 Waffles
If = 12 waffles = 1 recipe
90 2/3 waffles =
7.56 or 7 5/9 recipes
Given
Total no. of waffles required = 12
No. of cups of milk = [tex]1\frac{1}{2}[/tex]
No. of cups of flour = [tex]2\frac{1}{4}[/tex]
No. of cups of other ingredients = [tex]1\frac{1}{3}[/tex]
The total number of cups of ingredients needed for 12 waffles =
No. of cups of milk + no. of cups of flour + no. of cup of other ingredients
= [tex]( 1+ 2+ 1 ) ( \frac{1}{2} + \frac{1}{4} + \frac{1}{3} )[/tex]
= [tex](4) + ( \frac{6+3+4}{12} )\\\\= (4) +(\frac{13}{12} \\\\= \frac{48+13}{12} \\\\= \frac{61}{12}[/tex]
The total number of cups of ingredients needed for 12 waffles is [tex]\frac{61}{12}[/tex].
The total number of cups of ingredients needed for 36 waffles=
= The total number of cups of ingredients needed for 36 waffles cups of ingredients.
If the milk is reduced to 1 cup and the amount of 'other ingredients' (not including the flour) is increase or decrease in recipe.A recipe for 12 waffles calls for [tex]1\frac{1}{2}[/tex] cups of milk, [tex]2\frac{1}{4}[/tex] cups of flour, and [tex]1\frac{1}{3}[/tex]cups of other ingredients = total of [tex]5\frac{1}{12}[/tex] cups of ingredients
Current recipe
= 1 cup of 2 milk + cups of flour + 2 cups of other ingredients
= 1 + 2 + 2 + ()
= cups of ingredients
Therefore, total amount of ingredients for 12 waffles would increase from the original recipe. This is because when you subtract [tex]5\frac{1}{12}[/tex] from [tex]5\frac{1}{4}[/tex] you get a difference of [tex]\frac{1}{6}[/tex] cups.
[tex]5\frac{1}{4}[/tex] - [tex]5\frac{1}{12}[/tex] = [tex]\frac{1}{6}[/tex]
The original recipe has [tex]2\frac{1}{4}[/tex] cups of flour as its quantity for 12 waffles
Hence:
[tex]2\frac{1}{4}[/tex] cups of flour = 12 waffles
17 cups =
17 ×
= 204÷ [tex]2\frac{1}{4}[/tex]
= 204 ÷ [tex]\frac{9}{4}[/tex]
= 204 × [tex]\frac{4}{9}[/tex]
= 90.666666667 or 90 [tex]\frac{2}{3}[/tex] Waffles
If = 12 waffles = 1 recipe
90 waffles =
7.56 or recipes.
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which statement is false?
Answer:
B
Step-by-step explanation:
Hope this helps
Communication requires a sender and a receiver.
Please select the best answer from the choices provided
T
F
Answer:
T
Step-by-step explanation:
the sender conveys an idea or concept, seeks information, or expresses a thought or emotion, and the receiver gets that message.
1. Rey Mercado has a house valued at $250,000. His mortgage is
for $180,000. How much money can he borrow if the bank will
lend 80 percent of the equity in the home?
2. Your credit card was stolen. You reported the theft within
24 hours. Before the theft was reported, the thief charged
$2,450 at a jewelry store and $1,245 at an electronics store.
How much of the fraudulent charges will you have to pay?
3. Jacki Marshall owes a balance of $5,000 on one credit card that charges 19 percent interest. She can pay off the balance in two years with monthly payments of $252.04. She has another credit card with a balance of $7,500 that charges 20 percent interest.
She can pay off the balance in two years with monthly payments of $381.72. Jacki owns a home valued at $150,000. She can get a home equity loan for $12,500 at 8 percent interest. Jacki can repay the loan in two years with monthly payments of $565.34. How much money will Jacki save if she takes out a home equityloan to pay off the credit card balances?
Answer:
1. $56,000
2. $3,695
3. $1,644.48
Step-by-step explanation:
1. Equity = valuation - mortgage
= $250,000 - $180,000
= $70,000
80% = 80/100 = 0.8
Therefore, 80% of the equity = 0.8 × $70,000
= $56,000
2. Total charges = jewelry charge + electronics charge
= $2,450 + $1,245
= $3,695
3.
First credit card:
Total payment = two years × monthly payments
= 2 × 12 × $252.04
= $6,048.96
Interest = total payment - balance
= $6,048.96 - $5,000
= $1,048.96
Second credit card:
Total payment = two years × monthly payments
= 2 × 12 × $381.72
= $9,161.28
Interest = total payment - balance
= $9,161.28 - $7,500
= $1,661.28
Home equity loan:
Total payment = two years × monthly payments
= 2 × 12 × $565.24
= $13,565.76
Interest = total payment - balance
= $13,565.76 - $12,500
= $1,065.76
Money saved = (total of interest from credit cards) - home equity loan interest
= ($1,048.96 + $1,661.28) - $1,065.76
= $1,644.48
Lucy needs to buy snacks for her soccer team. she only has $25 in her pocket.
if each juice box cost $1.50 and a bag of chips (ost $1.00. how many chips
and drinks can she purchase?
Factor the trinomial:
5x^2+21x+4
Answer:
(5x+1)(x+4)
Step-by-step explanation:
5*4 = 20
20*1 = 20 and 20+1 = 20
5x^2+20x+1x+4
5x(x+4)1(x+4)
5x+1)(x+4
read the given news article underline the relevant ideas informationbonce and underpine the irrelevantvinformation twice
Answer:
Where is the question
Step-by-step explanation:
Where is the question
Graph the line with slope of 5/3 and goes through the point (2,1).
Answer:
so graph your first point. (x=2, y=1)
Step-by-step explanation:
Your 5/3 is your rise over run. So go up 5 from 2 you should be at 7 and over 3 from your 1 so your next point would be (x=7, y=4) now get a ruler and connect your two points. make sure to use a ruler to make your line straight.
To graph a line with a slope of 5/3 and passes through the point (2, 1), we can use the slope-intercept form of a linear equation, which is given by:
y = mx + b
where:
- y and x are the coordinates of any point on the line
- m is the slope of the line
- b is the y-intercept (the point where the line crosses the y-axis)
Given the slope (m = 5/3) and the point (2, 1), we can substitute these values into the equation and solve for the y-intercept (b):
1 = (5/3)(2) + b
1 = 10/3 + b
To isolate b, we subtract 10/3 from both sides:
1 - 10/3 = b
-7/3 = b
Now we have the values of m and b, so we can write the equation of the line:
y = (5/3)x - 7/3
To graph the line, we plot the y-intercept at (0, -7/3), and then use the slope (5/3) to find additional points on the line.
Since the slope is positive, we can move up 5 units vertically and 3 units horizontally from the y-intercept to find another point. We repeat this process to find more points if needed.
Thus, using this, one can plot the graph.
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5x – 2xy - 4x + 8xy + y
Answer:
x + 6xy + y
Step-by-step explanation:
Gather the like terms:
5x - 4x = x
-2xy + 8xy = 6xy
hence, we got x +6xy +y
Write the equation of a Line that is perpendicular to y=5/2x+3 and passes
through point (-3,-5)? *
Answer:
Step-by-step explanation:
Slope of perpendicular lines = -1
y = 5/2x + 3
[tex]m_{1}=\frac{5}{2}\\\\m_{1}*m_{2}=-1\\\\[/tex]
[tex]m_{2}=[/tex] -1 ÷ [tex]m_{1}[/tex]
= [tex]-1*\frac{2}{5}=\frac{-2}{5}[/tex]
(-3 , -5)
Equation of the required line: y - y₁ = m(x -x₁)
y - [5] = [tex]\frac{-2}{5}(x - [-3])\\[/tex]
[tex]y+5=\frac{-2}{5}x + 3*\frac{-2}{5}\\\\y+5=\frac{-2}{5}x-\frac{6}{5}\\\\ y =\frac{-2}{5}x-\frac{6}{5}-5\\\\ y = \frac{-2}{5}x-\frac{6}{5}-\frac{5*5}{1*5}\\\\ y = \frac{-2}{5}x-\frac{6}{5}-\frac{25}{5}\\\\\\ y=\frac{-2}{5}x-\frac{31}{5}[/tex]
Quadrilateral ABCD is a parallelogram. Determine the measure of Angle A
A) 96°
B) 52°
C) 39°
D) 78°
Answer:
[tex]\huge\boxed{\text{(A)}\ 96 \textdegree}[/tex]
Step-by-step explanation:
A parallelogram has two pairs of identical angles.
The identical angles will be directly opposite from each other.
This means that:
Angle C = Angle AAngle D = Angle BTherefore, we can say that Angle A is 3x degrees and Angle B is x+52 degrees.
It's also important to note that all angles in a quadrilateral add up to 360°.
Since we know the measure of each angle, we can add up the expressions for each and find x.
[tex]3x + 3x + (x+52) + (x+52) = 360[/tex]
Let's simplify this equation.
[tex]6x+(x+52)+(x+52)=360[/tex] [tex]8x+104=360[/tex] [tex]8x=256[/tex] [tex]x=32[/tex]Now that we know the value of x, let's use it to find the measure of Angle A.
We already proved earlier that Angle C is equivalent to Angle A. Since we know the expression for Angle C (3x) it'll be the same for angle A.
[tex]3(32)=96[/tex]
So A is 96°
Hope this helped!
Answer:
Step-by-step explanation:
96 degrees
What is the value of p?
Answer:
p = 73°
Step-by-step explanation:
The sum of the interior angles of every triangle is always 180°
p = (180 - 34 - 73)° = (180 - 107)° = 73°
Hope this helps
6 out of 30 is what percent
Evaluate for a = 2 and b = 3.
(b - a)2
Answer:
2
Step-by-step explanation:
Given that a=2 and b=3,
(3-2)×2
Hence,
1x2 = 2
What is the perimeter of a parallelogram with base 32 cm, side length 34 cm, and height 19 cm?
Answer:
[tex]p=132cm^2[/tex]
Step-by-step explanation:
Given the following question:
Formula for perimeter:
[tex]2(s+b)[/tex]
We are given a base and a length for this parallelogram. So, to find the perimeter we simply have to substitute the values into the formula and solve.
[tex]2(s+b)[/tex]
[tex]2(34+32)[/tex]
[tex]34+32=66[/tex]
[tex]2(66)[/tex]
[tex]2(66)=2\times66=132[/tex]
[tex]p=132cm^2[/tex]
Hope this helps.
The gas tank in Feliz's car is 5/6 full. Each time he drives to or from work, he uses 1/12 of a full tank of gas. Which equation represents the number of times Feliz can drive to or from work with his gas tank? A) 5/6 ÷ 1/12 = 10 B) 1/12 ÷ 5/6 = 7 C) 1/12 ÷ 5/6 = 1/10 D) 5/6 ÷ 1/12 = 5/72
Answer:
A 5/6 ÷ 1/12 = 10
Step-by-step explanation:
Let the full tank be represented with 'Y'
Feliz's car is 5/6 full
Whenever he drives To and From work he uses 1/12 of the full tank gas.
That is 1/12 of y
Since the tank was 5/6 full before his journey to and from work, the number of time he can use the gas will be
5/6 ÷ 1/12
5/6×12/1
= 10
Feliz can drive to or from work with his gas tank 10 times.
2/3a -7+7/18a-5 1/6.
Please, help me, guys. I'm stuck.
The expression 2/3a -7+7/18a-5 1/6 is an illustration of fractions
The simplified expression of 2/3a -7+7/18a-5 1/6 is 19/18a -73/6
How to evaluate the expression?The expression is given as:
2/3a -7+7/18a-5 1/6.
Collect like terms
2/3a -7+7/18a-5 1/6 = 2/3a + 7/18a-7-5 1/6.
Express mixed fractions as improper fractions
2/3a -7+7/18a-5 1/6 = 2/3a + 7/18a - 7 - 31/6.
Evaluate the sum and difference
2/3a -7+7/18a-5 1/6 = 19/18a -73/6
Hence, the simplified expression of 2/3a -7+7/18a-5 1/6 is 19/18a -73/6
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A building that is 300 m
tall casts a 270 m
shadow. At the same
time, a different building
casts an 90 m shadow.
How tall is the building?
Answer:
10m
Step-by-step explanation:
we can use the cross multiply method.
300m = 270m
x m = 90m
270x = 300 x 90
270x = 2700
x = 10
so the buliding is 10m tall