Answer:
[tex]x=\frac{4y+7}{3}[/tex]
General Formulas and Concepts:
Alg I
Equality PropertiesStep-by-step explanation:
Step 1: Define
3x - 4y = 7
Step 2: Solve for x
Add 4y to both sides: 3x = 4y + 7Divide 3 on both sides: x = (4y + 7)/3please answer asap
Enter your answer as fraction in simplest form by filling in the boxes
Answer:
1/2
Step-by-step explanation:
for f(x) = -8x +8, find f(-3)
Answer:
f(x)=-8x+8
f(-3)
ANSWER: 11/8
Stephanie ate 12 of the 40 chips in a bag. What percentage of the chips did Stephanie eat?
Answer:
the answer is 0.3%
Step-by-step explanation:
12 divided by 40 is 0.3
Answer:
30%
Step-by-step explanation:
Write a proportion.
12 / 40 = x / 100
Cross multiply.
40x = 1200
Solve for x.
x = 30
She ate 30% of the chips.
The no. Of adel beads to that of claire's beads was the ratio 7 :4 .When adel gave 68 beads to claire the ratio become 25 :41 . How many beads did claire did claire have finally
Answer:
37 beads
Step-by-step explanation:
Given that:
Adel : Claire = 7 : 4
Let Adel be = A; &
Let Claire be = C
A: C = 7 : 4
[tex]\dfrac{A}{C} =\dfrac{7}{4}[/tex]
7C = 4A
[tex]C = \dfrac{4A}{7}[/tex] --- (1)
When Adel gave 68 beads to claire, we have:
C + 68 = 25:41
[tex]\dfrac{A}{C+68}= \dfrac{25}{41}[/tex]
25(C + 68) = 41A
C + 68 = [tex]\dfrac{41}{25}A[/tex]
[tex]C = \dfrac{41}{25}A - 68[/tex] --- (2)
Equating (1) and (2) together;
[tex]\dfrac{4 * A}{7} = \dfrac{41 *A}{25} - 68[/tex]
[tex]\dfrac{4 * A}{7}-\dfrac{41 *A}{25} = - 68[/tex]
[tex]\dfrac{100A - 287 A}{175} =- 68[/tex]
[tex]\dfrac{-187A}{175} = -68[/tex]
- 187 A = 175 × (-68)
-187 A = - 11900
A = - 11900/ -187
A ≅ 64
From; [tex]C = \dfrac{4A}{7}[/tex]
[tex]C = \dfrac{4*64}{7}[/tex]
C = 36.57
C ≅ 37 beads
The inequality represents the spine thickness, in centimeters, of various books on a
shelf.
18
0.15
5
Which value of x could represent the thickness of a book on this shelf?
Answer:
7/2
Step-by-step explanation:
14. A satellite orbits 22, 300 miles above the equator. It completes one revolution in 24 hours. Assume that the radius of the Earth is 3, 960 miles. How far will the satellite travel in one day?
Answer:
Displacement = 0 mi
Distance = 164,996.45 mi
Step-by-step explanation:
In this case, the displacement will be zero because the satellite goes back to its starting point after one day. If there is no distance traveled between the starting point and the ending point, then the Displacement will be zero.
When it comes to the distance, we will need to calculate the perimeter of the circle the satellite describes when making one whole turn around the earth.
The perimeter of a circle is given by the equation:
[tex]p=2\pi r[/tex]
so we need to start by finding what the radius of the circle is. This radius if found by adding the radius of the earth and the distance above the equation the satellite is located at, so we get that:
[tex]r=r_{earth}+h[/tex]
where h is the height of the satellite, so the radius of the circle is:
[tex]r=22,300mi + 3,960 mi[/tex]
so
r=26,260 mi
so now we can use the perimeter equation to get:
[tex]p=2\pi r[/tex]
[tex]p=2\pi (26,260)[/tex]
So the distance traveled by the satellite in one day will be:
P=164,996.45 mi.
8.F.2: Functions W and Z are both linear functions of x. Which statement comparing the functions is true? Select ALL that apply.
A. The slope of Function W is less than the slope of Function Z.
B. The slope of Function W is greater than the slope of Function Z.
C. The slope of Function W is equal to the slope of Function Z.
D. The y-intercept of Function W is less than the y-intercept of Function Z.
E. The y-intercept of Function W is equal to the y-intercept of Function Z.
F. The y-intercept of Function W is greater than the y-intercept of Function Z.
*the graph of Function W and table of values of Function Z are in the diagram attached below.
Answer:
B. The slope of Function W is greater than the slope of Function Z.
F. The y-intercept of Function W is greater than the y-intercept of Function Z.
Step-by-step explanation:
To determine which of the statements compare both functions correctly, let's find the slope (m) and the y-intercept (b) of each function given.
✍️Function W:
Slope of Function B, using two points on the line, (0, -1) and (2, 0):
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 -(-1)}{2 - 0} = \frac{1}{2} = 0.5 [/tex]
✅Slope = 0.5.
y-intercept is the point at which the line intercepts the y-axis. Therefore, the y-intercept, b = -1. The line cuts the y-axis at y = -1. At this point, x = 0.
✅y-intercept = -1.
✍️Function Z:
Slope of Function Z, using two pairs of values from the table of values for function Z, (0, -2) and (2, -1.5):
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1.5 -(-2)}{2 - 0} = \frac{0.5}{2} = 0.25 [/tex]
✅Slope = 0.25.
y-intercept is the value of y when x = 0. It is at this point the line of the function of X intercepts the y-axis. From the table given, we can see that when x = 0, y = -2. Therefore:
✅y-intercept = -2.
Thus, the following statements that compares both functions are TRUE:
B. The slope of Function W is greater than the slope of Function Z.
✔️This is TRUE because 0.5 is greater than 0.25.
F. The y-intercept of Function W is greater than the y-intercept of Function Z.
✔️This is TRUE because -1 is greater than -2.
Answer: B and F
Step-by-step explanation:
Elvira used 4 cups of grape juice, 15 cups of cranberry juice, and 2 1 / 2 cup of pineapple juice to make punch. One liter is approximately equal to 4.23 cups. Which measurement is closest to the number of liters of punch Elvira made
A: 1:42 L
B: 10.23 L
C: 25.38
D: 1.77 L
Answer:
C
Step-by-step explanation:
Help!!Find the y-intercept of the line on the graph.
Enter the correct answer.
The y-intercept of the graph is -3
How to find the y-intercept of a graph?The y-intercept is the point where the line intersects the y-axis. This is the value of y when x is equals to zero.
Using slope intercept formula,
y = mx + b
where
m = slopeb = y-interceptNow, let's trace the value of y when x = 0 in the graph.
Therefore,
when x = 0, y = -3
Hence, the y-intercept of the graph is -3
learn more on y-intercept here: https://brainly.com/question/20759265
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4x/3+3=x-2
value of x ?
Answer:
x = - 15
Step-by-step explanation:
Given
[tex]\frac{4x}{3}[/tex] + 3 = x - 2
Multiply through by 3 to clear the fraction
4x + 9 = 3x - 6 ( subtract 3x from both sides )
x + 9 = - 6 ( subtract 9 from both sides )
x = - 15
Step-by-step explanation:
find the LCM of 3 and 1 which is 3
then you have
4x/3 +3/1 =4x+9/3
now equate the above with x-2
4x+9/3=x-2
Cross multiply
3(x-2)=1(4x+9)
3x-6=4x+9
3x-4x=9+6
-x=15
x = -15
Solve: 2a + 5 = 23
:((
Answer: 9
Step-by-step explanation:
The diagram shows a triangle.
y+12°
2y–18°
2y+16°
What is the value of y?
y =
°
Answer:
34°Step-by-step explanation:
I'm a little confused by your question. But I solved the question this way.
y+12+2y-18+2y+16=180
Why 180° you ask? Because the angle sum interior of a triangle always measures 180°.
(y+2y+2y)+(12+−18+16)=180
5y+10=180
Subtract
5y+10−10=180−10
5y=170
divide
5y/5=170/5
y=34
Find the equation of the line shown.
Answer:
I think that it is y= -2x +9
Step-by-step explanation:
I am sure about the slope but the y-intercept (9) might be wrong.
2. Mary's test average after 8 tests is 80. Her score on the
9th test was 71. If all 9 tests are weighted equally, what
is Mary's test average for all 9 tests?
A. 71
B. 75.5
C. 77
D. 79
E. 80
Answer:
D
Step-by-step explanation:
since her test average for the first 8 tests is 80, the sum of all the scores for the first 8 tests is 640. Since her 9th test is 71, we do 640+71=711. To find the average of all 9 tests, we do 711/9 = 79
D
Find the endpoint:
The midpoint of CD is M = (-3, -6), one endpoint is C = (-1, -4). Find the other endpoint, D
Answer:
The coordinates of Point D are: (-5,-8)
Step-by-step explanation:
The formula for mid-point is given by:
[tex]M = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})[/tex]
For the point (x1,y1) and (x2,y2)
Given that
M = (-3, -6)
C = (-1, -4) => (x1,y1)
Putting the values of given points in the formula for mid-point
[tex](-3,-6) = (\frac{-1+x_2}{2} , \frac{-4+y_2}{2})[/tex]
Putting respective coordinates equal
[tex]-3 = \frac{-1+x_2}{2}\\-6 =-1+x_2\\x_2=-6+1\\x_2 = -5\\AND\\-6 = \frac{-4+y_2}{2}\\-12 = -4+y_2\\y_2 = -12+4\\y_2 = -8[/tex]
Hence,
The coordinates of Point D are: (-5,-8)
A Bugatti car dealer paid a certain price for a car and marked it up by 13 of the price she paid. Later, she sold it for $40,000. What is the original price that the car dealer bought the car? Please explain you answer!
Answer:
565
Step-by-step explanation:
77
Possible answers:1/3,1/2,2,3
Answer:
1/2
Step-by-step explanation:
The college student who is looking for a data plan for her cell phone found a third option,
which also offers a 2 gigabyte monthly allowance for data.
The monthly cost of this option can be represented by function C, defined by:
30x + 3 where x is the gigabytes of data used over the monthly allowance.
1. Find C (0.7) and explain what it means in this situation.
Answer:
Value of C(0.7) = 24 means that the cost of 0.7 gigabytes of data is $24
Step-by-step explanation:
We are told the monthly cost of the 2 gigabyte monthly allowance for data is;
C(x) = 30x + 3
where x is the gigabytes of data used over the monthly allowance
Now, we want to find C(0.7)
C(0.7) = 30(0.7) + 3
C(0.7) = 21 + 3
C(0.7) = 24
This value of C(0.7) = 24 means that the cost of 0.7 gigabytes is $24
what is 8.275 rounded to the nearest hundredth.
Answer:
8.28
Step-by-step explanation:
since you have 5, you would round up 1 so 8.
You’re welcome :)
Which of the following is equivalent to logb sqrt 57/74
Answer:
[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex] is equivalent to [tex]\frac{1}{2}\left(\log \:_b\left(57\right)-\log \:_b\left(74\right)\right)[/tex].
Hence, option 'c' is true.
Step-by-step explanation:
Given the expression
[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex]
Rewrite as
[tex]=\log _b\left(\left(\frac{57}{74}\right)^{\frac{1}{2}}\right)[/tex]
[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0[/tex]
[tex]=\frac{1}{2}\log _b\left(\frac{57}{74}\right)[/tex]
[tex]\mathrm{Apply\:log\:rule}:\quad \log _c\left(\frac{a}{b}\right)=\log _c\left(a\right)-\log _c\left(b\right)[/tex]
[tex]=\frac{1}{2}\left(\log _b\left(57\right)-\log _b\left(74\right)\right)[/tex] ∵ [tex]\log _b\left(\frac{57}{74}\right)=\log _b\left(57\right)-\log _b\left(74\right)[/tex]
Therefore,
[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex] is equivalent to [tex]\frac{1}{2}\left(\log \:_b\left(57\right)-\log \:_b\left(74\right)\right)[/tex].
Hence, option 'c' is true.
FAST ANSWER NEEDED 7,900 dollars is placed in an account and gains an annual interest rate of 5.5%. Which of the exponential equations below best models this situation?
Answer:
rage we are not doing ur homework
Step-by-step explanation:
14236.53
Step-by-step explanation:
I lookedd it up I'm not smart. ;)
On derwin farm there is a total of 50 chickens and cows. If there are 118 legs, how many chickens are there?
Answer:
20cows and 29 chickens
Step-by-step explanation:
Researchers wanted to assess the effect of low alcohol consumption on reaction time in seniors, believing that even low levels of alcohol consumption can impair the ability to walk, thereby increasing the likelihood of falling. They identified 13 healthy seniors who were not heavy consumers of alcohol. The experiment took place in late afternoon. Each subject was instructed to have a light lunch and to not drink any caffeinated drinks in the 4 hours prior to arriving at the lab. The seniors were instructed to walk on a treadmill on which an obstacle would appear randomly. The reaction time was measured by determining the time it took the senior to lift his or her foot upon the appearance of the obstacle. First, each senior walked the treadmill after consuming a drink consisting of water mixed with orange juice with the scent and taste of vodka. The senior was then asked to drink two additional drinks (40% vodka mixed with orange juice). The senior then walked on the treadmill again. The average response time increased by 19 milliseconds after the alcohol treatment. The researchers concluded that response times are significantly delayed even for low levels of alcohol consumption.
A) What type of experimental design is this?
B) What is the response variable in this experiment? Is it quantitative or qualitative?
C) What is the treatment?
D) What factors were controlled and set at a fixed level in this experiment?
E) Can you think of any factors that may affect reaction to alcohol that were not cont rolled?
F) Why do you think the researchers used a drink that had the scent and taste of vodka to serve as the treatment for a baseline measure?
G) What was the conclusion of the study? To whom does this conclusion apply?
Answer:
See explanation
Step-by-step explanation:
The matched pair experimental design was used here. In this type of design, the experimental units are paired up . Different individuals receive different treatments. A popular type of matched-pairs design is this; a response variable's effect on an experimental unit is measured before and after a treatment is applied.
Reaction time is the response variable here . It is quantitative because it can be counted or measured.
The treatment was water mixed with orange juice with the scent and taste of vodka and subsequently 40% vodka mixed with orange juice.
Food consumption and intake of caffeinated drinks were controlled and set at a fixed level in this experiment.
Age ,gender and weight may also affect the reaction of the seniors to alcohol .
This treatment served the purpose of a placebo thereby working as a control that helps us to establish a baseline treatment that can be used to compare with the results of other treatments .
The research conclusion is that response times are significantly delayed even for low levels of alcohol consumption in seniors .This conclusion can only be applied to healthy seniors that consume a low level of alcohol.
HELP HELP ASAPPPPP NEED THESE TWO ANSWERED PLSSSSS
Solve the absolute value equation.
3=|6-x|
Answer: well it's correct-
Step-by-step explanation: it shows that e equals to 6-x, x would be 3 so then the problem would still be correct (3=|3|) and |3| just equals, well, 3.
At a grocery store, it costs $9 for 6 cans of soup. What is the unit price?
Answer:
1.5
Step-by-step explanation:
6 * 1.5 = 9
Answer:
1.3
Step-by-step explanation:
[tex]\sqrt[6]{9}[/tex] = 9 divided by 6, 6 goes into 9, 1 time. Remainder of 3, 1.3 is the answer.
A man cycles to a village at 18km/hr and returns at 12km/hr. If he takes 6 tahrs
for the double journey, how far does he ride altogether?
Answer:
30km/hr
Step-by-step explanation:
18km/hr +12km/hr
The man rides 86.4 km distance.
What is speed?Speed tells us how slow or fast an object moves. It describes the distance travelled divided by the time taken to cover the distance.
Speed is directly Proportional to Distance and inversely proportional to Time.
Speed = Distance/Time
Given,
Speed of man way to the village = 18km/hour
Speed of man when returns from the village = 12km/hour
Time for double journey = 6 hour
Let going time is x and returning time is y
x + y = 6 -------(a)
⇒ x = 6 - y
Distance for going = distance for returning
18x = 12y
Putting value of x in terms of y
18(6 - y) = 12y
108 - 18y = 12y
30y = 108
y = 108/30
y = 3.6 hours
Putting value of y in equation (a)
x + 3.6 = 6
x = 6 - 3.6
x = 2.4
Returning time = 3.6 hours
Returning distance = returning time × returning speed = 3.6 × 12
Returning distance = 43.2 km
Going distance = Returning distance = 43.2
Total ride distance = 43.2 + 43.2 = 86.4 km
Hence, 86.4 km is the distance of ride by the man.
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pls guys need help...i have test tomorrow
Answer:
18x
Step-by-step explanation:
3x^2 - 27 = -18x
x^2 - 3x = -1x
-18x / -1x = 18x
3x^2 = 9
x^2 = 2x
Jack is buying threats for how cats. He wants to buy some greens, which cost $4.95 a bag. He also wants to buy beef bites, which cost $3.50 a bag. White an equation that models treats purchased by Jack when he spends $21.85
An outdoor adventure company charges $9 per hour for a mountain
bike plus a $5 fee for a helmet.
Answer:500
Step-by-step explanation:500 +7++U+U++UU+