Answer:
x = -7
Step-by-step explanation:
(x + 14) + (x + 12) = 12
Combine like terms
2x + 26 = 12
Subtract 26 from both sides
2x = -14
Divide both sides by 2
x = -7
Answer:
Step-by-step explanation:
PQ +QR = PR
x + 14 + x + 12 = 12
Combine like terms
x + x + 14 + 12 = 12
2x + 26 = 12
Subtract 26 from both sides
2x = 12 - 26
2x = -14
Divide both side by 2
x = -14/2 =
x = -7
Which side lengths form a right angle?
Choose all answers that apply:
A) 3, square root 27, 6
B) 8, 15, 17
C) 5, 5, square root 50
Answer:
B and C
Step-by-step explanation:
Using the Pythagorean theorem a²+b²=c², those are the correct answers
Solve the equation a=m-n for the variable n
Answer:
m-a = n
Step-by-step explanation:
a=m-n
Subtract m from each side
a-m = m-n-m
a-m = -n
Multiply each side by -1
-a+m = n
m-a = n
Steve earns extra money babysitting. He charges $37.00 for 4 hours and $64.75 for 7 hours. Let x represent the number of hours Steve babysits and y represent the amount he charges
Answer:$6.25
Step-by-step explanation:we have that
x------------------> represent the number of hours Steven babysits
y----------------- > represent the amount he charges
for x=6 hours
y=$37.50 ----------------> y/x=37.5/6=6.25
for x=8 hours
y=$50---------------------> y/x=50/8=6.25
therefore
y=6.25x
3. An expandable cone-shaped funnel consists of two sections as shown. (a) What is the volume of the bottom section? (b) What is the volume of the top section?
Answer:
1. Volume of cone =
where h is the height of the cone and r is the radius.
2. The bottom section is a cone with radius 6/2 = 3 (cm) and height= 8 cm
so the volume = ()
3. The volume of the top section is the volume of the cone - volume of bottom cone, which we already found.
V(cone)=
V(top section)=192-24=168
Step-by-step explanation:
Cleo buys a new car for $18,900. The simple interest rate is 6.6% and the amount of loan (plus simple interest) is repayable in 5 years. What is the total amount that must be repaid?
Answer:
$6,237 down payment
Step-by-step explanation:
calculated [tex]18,900[/tex]×[tex]6.6%[/tex]%×[tex]5 = $6,237[/tex]
Find the area
76 sq. Meters
60 sq. Meters
30.5 sq. Meters
65 sq. Meters
Answer:
76 sq. meters
Step-by-step explanation:
10 · 4 = 40m
2 · 6 = 12m
8 · 6 = 48/2 = 24m
40 + 12 + 24 = 76 sq. meters
Mention 3 places
where you can get
pre-approved for a
car loan
Answer:
Auto Credit Express, Carvana, Capital one auto loan
A certain country has 586.08 million acres of forest. Every year, the country loses 7.92 million acres of forest mainly due to deforestation for farming purposes. If this situation continues at this pace, how many years later will the country have only 237.6 million acres of forest left? (Use an equation to solve this problem.)
Answer:
At this pace the country will have only 237.6 million acres of forest left in 44 years.
Step-by-step explanation:
Given that a certain country has 586.08 million acres of forest, and every year, the country loses 7.92 million acres of forest mainly due to deforestation for farming purposes, to determine, if this situation continues at this pace, how many years later will the country have only 237.6 million acres of forest left, the following calculation must be performed:
Current amount - (amount lost per year x number of years) = 237.6
586.08 - (7.92 x X) = 237.6
586.08 - 7.92X = 237.6
-7.92X = 237.6 - 586.08
-7.92X = -348.48
X = -348.48 / -7.92
X = 44
Therefore, at this pace the country will have only 237.6 million acres of forest left in 44 years.
To prepare for a party, Mark buys a small bunch of balloons for $6.00 and gift bags that cost $5.15 each. He spends a total of
$72.95 on the balloons and a gift bag for each person invited to the party. Write and solve an equation to find x, the number of
people Mark invited to the party
Answer: [tex]72.95 =6.00+5.15x[/tex] , Required equation
The number of people Mark invited to the party = 13
Step-by-step explanation:
According to the question,
Total amount spent = (Price of bunch of ballons)+(cost per gift) x (Number of persons)
Given: Total amount spent =$72.95 , Price of bunch of ballons =$6.00 ,
cost per gift =$5.15
thus,
[tex]72.95 =6.00+5.15x[/tex] , Required equation
To solve , first
subtract 6 from both sides, we get
[tex]66.95=5.15x\\\\\Rightarrow\ x=\dfrac{66.95}{5.15}\\\\\Rightarrow\ x=13[/tex]
The number of people Mark invited to the party = 13
What is the y-intercept of function f?
A. 1
B. -1
C. -2
D. 5
Answer:
1
Step-by-step explanation:
The y intercept is when x =0
We need to use the second equation
-x+1 since -2 < 0 <3
0+1
The y intercept is 1
Lighter cars are more fuel-efficient than heavier cars. An environmentalist would like to estimate the true mean weight
of all cars. To do so, she selects a random sample of 30 cars and determines the 90% confidence interval for the true
mean weight to be 2.8 to 3.4 tons. Which of these statements is a correct interpretation of the confidence level?
O There is a probability of 0.90 that the confidence
interval (2.8, 3.4) captures the true mean weight of all cars.
O The environmentalist can be 90% confident that the true mean weight of all cars is between 2.8 and 3.4 tons,
O If many random samples of size 30 are selected from the population of all cars, approximately 90% of the sample
means will be between 2.8 and 3.4 tons.
O If many random samples of size 30 are selected from the population of all cars, about 90% of the intervals would
capture the true mean weight of all cars.
Answer:
The environmentalist can be 90% confident that the true mean weight of all cars is between 2.8 and 3.4 tons.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
90% confidence interval between 2.8 and 3.4 tons. This means that the environmentalist can be 90% sure that the mean weight of all cars is in this interval, that is:
The environmentalist can be 90% confident that the true mean weight of all cars is between 2.8 and 3.4 tons.
if the pictures cost .29 cents and you have 353 pictures how much would it could all together
Answer:
102.37
Step-by-step explanation:
.29*353=102.37
Andrew walks 2000 feet from his house to his office. What distance does he cover?
A. 18,000 in.
B. 24,000 in.
C. 25,000 in.
D. 30,000 in.
PLZ HELP ME!!!!
how much water must be evaporated from 32 ounces of a 4% salt solution to make an 8% salt solultion?
Answer:
16 ounces.
Step-by-step explanation:
An 8% solution is 2 times stronger than a 4% solution.
So in the 8% solution we will have 1/2 of the volume as a 4% , so 1/2 * 32
= 16 ounces of water must be evaporated.
The number 16 ounces of water must be evaporated from 32 ounces of a 4% salt solution to make an 8% salt solution.
What is a linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
To find the amount of water that must be evaporated from 32 ounces of a 4% salt solution to make an 8% salt solution:
0.96(32) - x = 0.92(32 - x)
30.72 - x = 29.44 - 0.92x
x - 0.92x = 30.72 - 29.44
0.08x = 1.28
x = 16
Therefore, 16 ounces must be evaporated.
To learn more about the linear equation;
https://brainly.com/question/29739212
#SPJ2
What are the coordinates of Point P?
Answer:
(-1.5, 0.5)
Step-by-step explanation:
x = -1.5
y = 0.5
(-1.5, 0.5)
The concentration of a pollutant in a lake is 85 parts per million (ppm) and is increasing at a rate of 4.6% each year. A possible formula for the concentration C as a function of year tis:
(a) C 85 +4.6t
(b) C-85-4.6t .
(c) C-85 +0.046t
(d) C-85 -0.046
(e) C = 85 (0.046)
(f) C-85 (0.954)
(g) C = 85 (1.046)
(h) C-85(1.46)
(i) C85(0.46)
(j) C-4.6 (0.85)
Answer:
[tex]C(t) = 85(1.046)^t[/tex], and the correct answer is given by option g.
Step-by-step explanation:
Equation for an concentration increasing exponentially:
The concentration after t years, considering that it increases exponentially, is given by the following equation:
[tex]C(t) = C(0)(1 + r)^t[/tex]
In which C(0) is the initial concentration and r is the growth rate, as a decimal.
The concentration of a pollutant in a lake is 85 parts per million (ppm) and is increasing at a rate of 4.6% each year.
This means that [tex]A(0) = 85, r = 0.046[/tex]. Thus
[tex]C(t) = C(0)(1 + r)^t[/tex]
[tex]C(t) = 85(1 + 0.046)^t[/tex]
[tex]C(t) = 85(1.046)^t[/tex], and the correct answer is given by option g.
please help me with these questions
Answer: 24- b 25- c 26- b 27- c
Step-by-step explanation:
If x=4 and y=5. The value of 3x-5y
Answer:
13, I believe :)
Step-by-step explanation:
3(4)-5(5)
multiply by the coefficient
=12-25
=-13
the premeter of a rectangle is 326cm and its lenght is 98cm find its breath and area
Perimeter = 2(length+breadth)
326= 2(98+b),
breadth= 65 cm
Area of rectangle = l×b = 98×65= 6370cm²
HELP PLEASE ON NUMBER 5!
Answer:
2.5 hours is the time it will take.
Step-by-step explanation:
50t + 55t-30 = 235
105t = 265
T = 2.5 hours (rounded to one d.p)
50% of the trees are fruit trees .this means that?
Answer:
Half of the trees are not fruit trees
Answer:
It means that half of the trees are fruits while the other half sprouts vegetables.
Step-by-step explanation:
100% (trees) / 2 (types of trees, in this case, fruits and vegetables) = 50% (fruit trees) : 50% (vegetable trees)
Find the ratio please help :mathematics
Answer:
answer is 19:13 .............
PLEASE ANSWER!! Solve for angle Z using the Sine Law. Round to the nearest degree.
Answer:
Z = 51º
Step-by-step explanation:
sinZ/12.5 = sin76/15.5
multiply both sides by 12.5
sinZ = sin76/15.5 * 12.5
Use calculator
sinZ = 0.782496553448384
Z = arcsin 0.782496553448384
Use calculator again
Z = 51.48972926377471º
Rounded
Z = 51º
2 Probability of people that like cheese and can’t ride a bike
3 find the marginal probability of people that like pepper pizza
4 find the conditional of ppl that like cheese given that they can’t ride a bike
Use the table!!!!!!! QUICKKKKKK
Answer:
i think its 60%
Step-by-step explanation:
if its wrong im rlly sorry
mark me as brainliest if its right pls
PLEASE HELP!! WILL MARK BRAINLIEST TO WHOEVER GET IT RIGHT
Answer:
neither, since the gradients are not the same, as well as the c value
Step-by-step explanation:
First line : y = -4x + 7
Second line : y = -4x + 3
We know that the standard form of equation of a line is y = mx + c
where :
m is the slope
c is the y intercept
Comparing both line equations with the standard form, we can notice that :
⊕ Slope of the first line = -4
⊕ Slope of the second line = -4
We know that Slopes of parallel lines are same
So, We can conclude that the given two lines are parallel to each other
Answer : Parallel because the slopes are the same
sometimes you have to divide the diamter by 2 to get the radius.
true
false
it is true
tbh am not sure
Deborah finds that that the theoretical probability of flipping "heads" on a fair coin was 50%. After she flipped the fair coin 100 times, she calculated that she flipped heads 45 times. what is the percent difference in theoretical and experimental probability
Answer: 5% if it’s bubble sheet then 0.05
Step-by-step explanation:
Probability of flipping heads=50%
Probability of flipping practically = 45/100
=45
So 50%-45% = 5%
I’m having a hard time anyone knows??
Answer:
65
Step-by-step explanation:
See image below:)
On a coordinate plane, triangle B C D has points (negative 4, 1), (negative 2, 1), (negative 4, 3). Triangle B prime C prime D prime has points (negative 1, negative 4), (negative 1, negative 2), (negative 3, negative 4). Triangle BCD is rotated counterclockwise to form triangle B’C’D’. What is the angle of rotation? 45° 90° 180° 360°
9514 1404 393
Answer:
90° CCW
Step-by-step explanation:
The transformation from B to B' is ...
B(-4, 1) ⇒ B'(-1, -4)
(x, y) ⇒ (-y, x) . . . . . matches the transformation for 90° CCW
Answer:
90 degrees
Step-by-step explanation:
A student claims that they can use rules about the coordinates of point A to tell wether the cosine of the angle formed by the x-axis and the kind that connects the origin to point A will equal a positive or a negative value. Which of the following statements supports the student’s claim?
A) if the y-coordinate is positive, the cosine will equal a positive charge.
B) if the x-coordinate are negative, the cosine will equal a negative value.
C) if the x-coordinate is in Quadrant l, the cosine will equal a negative value.
D) if the x- and y-coordinates are negative, the cosine will equal a positive value.
9514 1404 393
Answer:
B) if the x-coordinate is negative, the cosine will equal a negative value
Step-by-step explanation:
The cosine of the angle is the x-coordinate of the point where the terminal ray intersects the unit circle. Its sign will match the sign of the coordinates of point A on the terminal ray.
if the x-coordinate is negative, the cosine will be negative