1/4 = 18
Or
Answer = 31.5
Linda had a previous balance of $1,000 and made an on-time credit card payment of $800. She has a credit line of x dollars and made purchases totaling y dollars. Write an algebraic expression that represents her current available credit.
Answer:
[tex]x-200+y[/tex]
Step-by-step explanation:
We can determine the algebraic expression that represents her current available credit by first finding her new balance using the formula:
Previous balance - Payments + Total Purchases = New balance
where, previous balance = $1000; payments = $800; total Purchases = y
New balance = [tex]1000-800+y[/tex]
Next, to find her Credit balance or current available; we use the formula; Credit line - New balance
where credit balance = x; new balance = [tex]1000-800+y[/tex]
Current available credit = [tex]x-200+y[/tex]
A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for every 4 milliliters of compound
B. If a chemist wants to make 621 milliliters of the drug, how many milliliters of compound A are needed?
Answer:
884
Step-by-step explanation:
We know the ratio of A to B is 5:8
let x = the multiplier
then
5x = amt of compound A
and
8x = amt of compound B
:
5x + 8x = 884
13x = 884
x = 884/13
x = 68 is the multiplier
therefore
5(68) = 340 millilters of compound A needed
:
:
Confirm our answer. Find the amt of B
8(68) = 544 ml of B
340 + 544 = 884
Write an equivalent fractions for 3/7 and 1/3 using 21 as the common denominator
Answer:
9/21 & 7/21
Step-by-step explanation:
Equivalent fraction for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex] using 21 using as the common denominator are [tex]\frac{9}{21} ,\frac{7}{21}[/tex].
What are equivalent fraction?"Equivalent fraction is fraction with different numerator or denominator
that represents the same value or proportion of the whole."
What is common denominator?"Common denominator is the same denominator of all the fraction"
We have to write an equivalent fractions for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex] using 21 as common denominator.
As we know when we multiply [tex]7[/tex] by [tex]3[/tex] to get [tex]21[/tex]
and we have to multiply [tex]3[/tex] by [tex]7[/tex] to get [tex]21[/tex]
⇒[tex]\frac{3}{7}=\frac{3}{7}[/tex]×[tex]\frac{3}{3}=\frac{9}{21}[/tex]
⇒[tex]\frac{1}{3}=[/tex][tex]\frac{1}{3}[/tex]×[tex]\frac{7}{7}=\frac{7}{21}[/tex]
Hence, Equivalent fraction for [tex]\frac{3}{7}[/tex] and [tex]\frac{1}{3}[/tex] using 21 as common denominator are [tex]\frac{9}{21} ,\frac{7}{21}[/tex].
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1. Natasha worked at a diner for $10per hour last week and already had $42 in her bank account? She paid $206 for a prom dress. The equations 206 = 42 + 10h represents this problem. How many hour did she work to pay for the prom dress?
2. Translate the following sentence into a mathematics equation. The sum of 10 and five time a number is the same as the difference of the number and 6
Answer:she worked 17 hours
Step-by-step explanation: 10×17=170+42=212
Answer:
She worked 16.4 hours
Step-by-step explanation:
I’ll mark you brainlist write in y=mx+b form
Answer:
y=-1/8x +4
Step-by-step explanation:
1. First, write the equation in point-slope form: y-y1=m(x-x1)
y-1=-1/8(x-24)
2. Distribute -1/8 to x and -24
-1/8 times x = -1/8x
-1/8 times -24 = 3
y-1=-1/8x+3
3. Add 1 to both sides
y=-1/8x +4
Solve the following equation: 3x + 6 = 9
Answer:
Step-by-step explanation:
3x+6=9
3x=9-6
3x=2
x=1.5
Answer:
x=1
Step-by-step explanation:
Subtract 6 from both sides of the equation, leaving 3x=3.
We put both sides over 3 to divide.
We are left with x=3
To test this, we substitute x with 1.
3(1)+6=9
3+6=9
9=9
Choose the best graph that represents the linear equation:
6x = y + 8
Graph A
On a coordinate plane, a line goes through (negative 2, 4) and (0, negative 8).
Graph B
On a coordinate plane, a line goes through (0, negative 8) and (2, 4).
Graph C
On a coordinate plane, a line goes through (negative 2, negative 4) and (0, 8).
Graph D
On a coordinate plane, a line goes through (0, 8) and (2, negative 4).
a.
Graph A
c.
Graph C
b.
Graph B
d.
Graph D
What is the slope of the line shown?
Is the relation shown below a function? Use the graph below to justify your response.
(0, 0), (2, 0), (2, 2), and (3, 4)
Answer:
yes it is a function there is no graph so I cant justify it
The relation is not a function.
Relations
Relations that are functions will pass the vertical line test
Points
The points are given as:
(0,0), (2,0), (2,2), and (3,4)
GraphsNext, we plot the points on the graph (see attachment).
From the graph, we can see that a vertical line passes through points (2,0) and (2,2).
Hence, the relation is not a function.
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PLEASE HELP ME on #57 WITH ALL WORK SHOWN!!
Tmr is my exam pls help...
=========================================================
Explanation:
Recall that quadratic form is ax^2+bx+c.
So we need an x^2 term followed by an x term, then a constant at the end.
It may not look it, but the given equation is nearly in quadratic form.
Rewrite 9^(2x) as (9^x)^2
We get this equivalent equation (9^x)^2 - 2*(9^x) - 3 = 0
From here, let's make w = 9^x. Replace every copy of '9^x' with 'w' and we end up with this new simpler equation: w^2 - 2w - 3 = 0
From here we can use the quadratic formula or factor. I'll factor.
w^2 - 2w - 3 = 0
(w - 3)(w + 1) = 0
w-3 = 0 or w+1 = 0
w = 3 or w = -1
---------------------
Now we use these values of w to find x
If w = 3, then,
w = 9^x
3 = 9^x
log(3) = log(9^x)
log(3) = x*log(9)
x = log(3)/log(9)
x = log(3)/log(3^2)
x = log(3)/(2*log(3))
x = 1/2
At the last step, we have the log(3) terms cancel.
Repeat for w = -1
w = 9^x
-1 = 9^x
log(-1) = log(9^x)
We run into a problem. The log of any negative number is not a real number output. In other words, 9^x is never negative. Raising any positive number to a real number output leads the result to be positive. Take a look at the graph of y = 9^x to confirm this.
In short, w = -1 is extraneous so it doesn't lead to any x value solution.
So only w = 3 is useful.
Ultimately, the only solution is x = 1/2.
Translate: the difference of x and 13, added to 12
Answer:
12+(x-13)
Step-by-step explanation:
the difference of x and 13 is subtraction and then added to 12 is addition.
Solve the following problem. Choose the correct answer. Fairhaven Church buys four tires for its van. Each tire is priced at $43.95. The tire store offers churches a 3.5% discount. How much does Fairhaven Church pay in all? The church pays $ total.
Answer:
169.65
Step-by-step explanation:
43.95x4= 175.80 175.80x3.5=6.15 175.80-6.15=169.65
The equation below is the equation of a line in point slope form, what is the x-
coordinate of the point?
y+5=—3 (x+6)
Answer:
Step-by-step explanation:
X=-x^2+x-5
A beetle that Hannah observed was too small to draw at its actual size. Hannah decided to make a scale drawing of the beetle as shown above. The beetle in the drawing is 7.62 cm long and 3.81 cm wide. The scale factor of her drawing is 3. Part A: Find the actual length of the beetle Hannah observed. Show all work. Part B: Find the actual width of the beetle Hannah observed. Show all work. Part C: The actual length of each of the beetle's antennae is 0.2 cm. What is the size of each antenna on Hannah's scale drawing? Show all work.
Answer:
[tex]Actual\ Length = 2.54\ cm[/tex]
[tex]Actual\ Width = 1.27\ cm[/tex]
[tex]Scale\ Length = 0.6\ cm[/tex] --- Beetle's antennae
Step-by-step explanation:
Given
The following scale measurements
[tex]Length = 7.62cm[/tex]
[tex]Width = 3.81cm[/tex]
[tex]Scale\ Factor = 3[/tex]
Solving (a): The actual length.
We simply divide the scale length by the scale factor.
[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]
[tex]Actual\ Length = \frac{7.62cm}{3}[/tex]
[tex]Actual\ Length = 2.54\ cm[/tex]
Solving (b): The actual width.
We simply divide the scale width by the scale factor.
[tex]Actual\ Width = \frac{Scale\ Width}{Scale\ Factor}[/tex]
[tex]Actual\ Width = \frac{3.81\ cm}{3}[/tex]
[tex]Actual\ Width = 1.27\ cm[/tex]
Solving (c):
Given: Actual Length of the beetle's antennae is 0.2 cm.
Required: Determine the scale measurement.
This is solved using:
[tex]Actual\ Length = \frac{Scale\ Length}{Scale\ Factor}[/tex]
[tex]0.2\ cm = \frac{Scale\ Length}{3}[/tex]
[tex]Scale\ Length = 0.2cm * 3[/tex]
[tex]Scale\ Length = 0.6\ cm[/tex]
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• -3 1/2
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• opposite of –5
Answer:
Positive 5.
Step-by-step explanation:
Opposite of negative 5 is positive 5.
The point will be on the positive side, which is above sea level. So it will be on 5 above the zero.
Answer:positive 5
Step-by-step explanation:
Cheddar cheese costs $4.25 per pound. Which equation best represents y, the total cost of x pounds of cheddar
cheese?
A. x = 4.25 + y
B. x = 4.25y
C. y = 4.25+ x
D. y = 4.25x
I will MARK brainlist!
Answer:
D
Step-by-step explanation:
4.25 × the amount of cheese you buy (x) equals the total cost (y)
Answer:
D. y = 4.25x
Step-by-step explanation:
You multiple the price per pound by the number of pounds. Can I have brainliest? Thanks!
Jeff bought 1.5 pounds of pork and 2.5 pounds each of beef and chicken. What was the total cost of the meat Jeff bought? Type of Meat Cost per Pound Beef $5.99 Chicken $4.79 Pork $3.64 Drag the numbers to complete the statement about what you need to find. Numbers may be used once, more than once, or not at all. 3.5231.52.514 Find the total cost of pounds of beef, pounds of chicken, and pounds of pork.
Answer:
$32.41
Step-by-step explanation:
Given that:
[tex]\begin{center}\begin{tabular}{ c c }Type of Meat & Cost per pound \\Beef & \$5.99 \\Chicken & \$4.79\\Pork & \$3.64\\\end{tabular}\end{center}[/tex]
Amount of pork bought by Jeff = 1.5 pounds
Amount of beef bought by Jeff = 2.5 pounds
Amount of chicken bought by Jeff = 2.5 pounds
Cost of number of pounds of each type of meat bought by Jeff can be calculated by multiplying the number of pounds by the cost of each type per pound.
Cost of pork for 1.5 pounds = 1.5 [tex]\times[/tex] 3.64 = $5.46
Cost of beef for 2.5 pounds = 2.5 [tex]\times[/tex] 5.99 = $14.975
Cost of chicken for 2.5 pounds = 2.5 [tex]\times[/tex] 4.79 = $11.975
Total cost = Cost of pork + Cost of beef + Cost of chicken = 5.46 + 14.975 + 11.975 = $32.41
Which equation is represented by the graph below?
What happens to the graph of f(x) when it is multiplied
by a number between - 1 and 0?
Which of the following is the slope of the line that passes through (-3,5) and (1, 15)?
Answer: 5/2
Step-by-step explanation: slope is the change in y over the change in x (y2-y1/x2-x1)
What is the approximate area of the circle shown below?
OA. 30 cm2
OB. 39 cm2
DC. 121 cm2
OD. 19.5 cm2
Please help ASAP!
Answer:
C. 121cm2
Step-by-step explanation:
The area of a circle is pir^2.
Let pi be rounded to 3.14 and r = 6.2cm
6.2^2*3.14 = 120.76, which rounds to 121cm2
Answer:
C) 21 cm²Step-by-step explanation:
area of a circle = π r²
= π (6.2)²
≈ 21 cm²
Which point is located at
2.15?
PLEASE HELP IN 30 MINUTES
Answer:
it is a
Step-by-step explanation:
Answer:
a
Step-by-step explalan
If Mitch bicycles at an avenger speed of 18 miles per hour,how long will it take him to cover 76.5 miles?
Answer:
b
Step-by-step explanation:
ILL MARK AS BRAINLESS PLS HELP
Answer:
5765/574
Step-by-step explanation:
there u go lol
Rita filled 2/5 of a jug with fruit juice. She then added 200 ml of milk to make a milkshake. At this stage, the ratio of the fruit juice to milk is 3:2
how much more liquid can the jug hold?
a)250 ml
b)300 ml
c)400 ml
d)450 ml
Answer:
250ml understand the concept please
The jug can hold 250 ml more liquid.
Let the jug can hold x ml liquid.
Given Rita filled 2/5 of a jug with fruit juice.
So, the amount of fruit juice is = 2/5 of x = 2x/5.
Then she added 200 ml milk.
Given the ratio of the fruit juice to milk is 3:2.
So,
[tex]\frac{2x}{5}:200=3:2\\\frac{\frac{2x}{5} }{200}=\frac{3}{2}\\2( \frac{2x}{5})=600\\\frac{4x}{5}=600\\ x=\frac{600*5}{4}\\x=750[/tex]
So the amount of fruit juice = [tex]\frac{2}{5}*750=300[/tex] ml.
Total amount of fruit juice and milk = 300+200=500 ml.
So the jug will hold = 750 - 500 =250 ml more.
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On a coordinate plane, a straight red line with a positive slope, labeled g of x, crosses the x-axis at (negative 3, 0) and the y-axis at (0, 3). A straight blue line with a positive slope, labeled f of x, crosses the y-axis at (0, negative 3) and the x-axis at (1, 0). Both lines intersect at (3, 6).
Answer:
f(6) = g(3)
Step-by-step explanation:
Which statement is true regarding the functions on the graph?
f(6) = g(3)
f(3) = g(3)
f(3) = g(6)
f(6) = g(6)
Solution:
g(x) passes through the points (-3, 0) and the y-axis at (0, 3). The equation of g(x) is given as:
g(x) = y
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
[tex]y-0=\frac{3-0}{0-(-3)}(x-(-3))\\\\y=x+3\\\\g(x)=y= x+3\\\\g(x)=x+3[/tex]
f(x) passes through the points (0, -3) and the y-axis at (1, 0). The equation of f(x) is given as:
f(x) = y
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
[tex]y-(-3)=\frac{0-(-3)}{1-0}(x-0))\\\\y+3=x\\\\f(x)=y= x-3\\\\f(x)=x-3[/tex]
f(6) = x-3 = 6 - 3 = 3
g(3) = x + 3 = 3 + 3 = 3
f(6) = g(3)
There are 5 hockey games and 7 football games happening in the upcoming month. You decide to attend 3 games by picking at random. What is the probability that you pick 3 football games? Leave your answer as a simplified fraction.
Answer:
1/4
Step-by-step explanation:
5 plus 7 equals to 12
3 football games
3/12=1/4
What does the statement T(20) = T(c) mean?
Mini muffins are also sold at Muffin Mart. Each mini muffin is sold for $0.35. Diego has $3.00 for mini muffins. How many mini muffins can he buy with $3.00? *
Answer:
I agree with both.
Step-by-step explanation:
If it's $3 per dozen that would be $0.25 per muffin because
3÷ 12 = 0.25
And if Andre has $2 than he can only afford 8 muffins because
0.25 x 8 = 2
And if Elena wants 16 muffins
16 x 0.25 = 4
So she will have to pay $4.
Hope this makes sense and helps!
Shannon graphed the system of equations. 7x – 4y= –8 y = y equals StartFraction 3 over 4 EndFraction x minus 3.x – 3 A coordinate grid with 2 lines. The first line passes through (0, negative 3) and (negative 4, negative 6). The second line passes through (0, negative 2) and (negative 4, negative 6). The lines appear to cross at about negative 5 and between negative 6 and negative 8.What of the following best describes the geography English colonists found when they first began to arrive in North America?
Answer:
its (-5 -5.9)
Step-by-step explanation:
i got id right on edg