The line that is parallel to this line will have the same slope of this line, as the two will never intersect. They will run side by side. The line y = 2x - 5 is written in slope-intercept form, which is y = mx + b. The value of m represents the slope, and in this equation m = 2. Therefore, the line we are looking for will have a slope of 2 also.
That line should also be in slope-intercept form. We now know the value of m, but we also know the value of x and y. The ordered pair (8, 10) is a point on the line, and every ordered pair is in the form (x, y). Therefore, x = 8 and y = 10. We can plug those values into y = mx + b, along with m = 2. That gives us:
10 = 2(8) + b We need to solve for b.
10 = 16 + b
b = -6
Jack bought 4 hot dogs and 3 sodas for $15.50. Mack bought 3 hot dogs and 2 sodas for $11.25. Find the cost of each.
Answer:
Hot dogs: $2.75
Sodas: $1.5
Step-by-step explanation:
Hot dogs = x
Sodas = y
4x + 3y = 15.5
3x + 2y = 11.25
First find the value of the hot dogs by canceling out y:
2(4x + 3y) = 2(15.5)
3(3x + 2y) = 3(11.25)
= 8x + 6y = 31
9x + 6y = 33.75
x = $2.75 (Minus bottom equation from the top to isolate x)
Plug in for x to get y:
3(2.75) + 2y = 11.25
2y = 11.25 - 8.25 (Isolate the y)
2y = 3
y = 3/2, or $1.5
True or false; The radian value of 3n/2 corresponds to the positive y-axis?
True
False
Answer:
true
Step-by-step explanation:
The measure of EFH is twice the measure of GFH. What is the
degree measure of GFH?
I NEED HELP ASAP
Answer:
30° = m∠GFH
Step-by-step explanation:
Since ∠EFH and ∠GFH are complementary, the sum of their measures i 90.
Let x = m∠GFH
2x = m∠EFH
m∠GFH + m∠EFH = 90
x + 2x = 90
3x = 90
x = 30° = m∠GFH
Answer: 30
Step-by-step explanation: qu i z i zz
At practice, Diego does twice as many push-ups as Noah, and also 40 jumping
jacks. He does
62 exercises in total. The equation 2x + 40 =62 describes this situation. What does
the
variable represent?
Answer:
1980
Step-by-step explanation:
5x4*x9=1980
Hope this helps :)
Brainliest?
｡◕‿‿◕｡ ITS PICKACHU DAY
what does it mean to evaluate an expression in 5th grade
Answer:
Usually it means to solve it. Sometimes they give you values to substitute in for variables (letters) in the math sentence/equation/expression.
Does that make sense?
Step-by-step explanation:
if a sector of a circle has a radius of 15m and an arc length of 25 meters, find the central
angle in degrees
Answer:
25
Step-by-step explanation:
another question of the homework
Answer:
Jessica's trains travels at a faster speed
Step-by-step explanation:
From the question,
Using the graph,
The total distance distance traveled by Khalid after 2 hours is
d = 280 mi.
S = d/t....................... Equation 1
Where S = Khalid's speed, d = Khalid's distance, t = time.
S = 280/2
S = 140 mph.
From the euqation,
The total distance traveled by Jessica after 2 hours is
y = 150×2
y = 300 mi.
Also Using
S' = d'/t
Where S' = Jessica's speed, d' = Jessica's distance
S' = 300/2
S' = 150 mph.
From the above, Jessica's trains travels at a faster speed
Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show
your work.
Answer:
A= 94°, B = 102°, C = 86°, D = 78°Step-by-step explanation:
ABCD is a cyclic quadrilateral
It has the property that opposite angles are supplementary: A with C and B with D.
Solve following for x:
x + 6 + x - 2 = 180°2x + 4 = 180°2x = 176°x = 88°The angles are:
A = 88° + 6° = 94°C = 180° - 94° = 86°D = 88° - 10° = 78°B = 180° - 78° = 102°URGET: Inscribed Angles
Find the measure of angle R.
Answer:
∠ R = 50°
Step-by-step explanation:
The inscribed angle R is half the measure of its intercepted arc QS
QS = 360° - (120 + 140)° = 360° - 260° = 100° , then
∠ R = 0.5 × 100° = 50°
PLEASE HELP ME!
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Given the proportion a/b = 8/15, what ratio completes the equivalent proportion a/8=?
Answer:
a/8 = b/15
Step-by-step explanation:
a/b = 8/15 -- divide both side by 8 and multiple both side by b
a/8 = b/15
help please!!
[tex]\text{solve the following equation : }[/tex]
[tex] \sf\tan^{2}(\theta)-(1+\sqrt{3})\tan(\theta)+\sqrt{3} = 0[/tex]
Answer:
[tex] \huge \boxed{ \red{ \boxed{\begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASlet's solve:distribute tan(θ):
=>tan²(θ)-(tan(θ)+√3tan(θ))+√3=0
remove parentheses:
=>tan²(θ)-tan(θ)-√3tan(θ)+√3=0
so this equation is now in standard form i.e ax²+bx+c=0
we can solve by factoring as we solve quadratic equation
factor out tanθ:
=>tan(θ)(tan(θ)-1)-√3tan(θ)+√3=0
factor out -√3:
=>tan(θ)(tan(θ)-1)-√3(tan(θ)-1)=0
group:
=>(tan(θ)-√3)(tan(θ)-1)=0
separate it as two different equation:
[tex] \implies \begin{cases} \tan( \theta) - 1 = 0 \\ \tan( \theta) - \sqrt{3} = 0 \end{cases}[/tex]
add 1 and √3 to both sides to first and second equation respectively:
[tex] \implies \begin{cases} \tan( \theta) - 1 + 1 = 0 + 1 \\ \tan( \theta) - \sqrt{3} + \sqrt{3} = 0 + \sqrt{3} \end{cases} [/tex]
[tex] \implies \begin{cases} \tan( \theta) = 1 \\ \tan( \theta) = \sqrt{3} \end{cases} [/tex]
[tex] \therefore \begin{cases} \theta = {45}^{ \circ} \\ \theta= {60}^{ \circ} \end{cases} [/tex]
Leo has a lock box with a volume of 312 cubic inches. The box is 4 inches high and 13 inches long. What is the width of the box?
Answer:
6in
Step-by-step explanation:
Given data
Volume of the lockbox= 312 cubic inches
Height= 4in
Length= 13in
Width= ???
The expression for the volume of box is
V= L*W*H
substitute
312=13*W*4
312=52W
W= 312/52
W=6 in
Hence the width is 6in
ratio of 6 kg 400 gram.is
Answer:
the ratio of 6 kg 400 gram is 1:662
A frying pan has a radius of 14 cm. What is the circumference of the pan?
A soup bowl is in the shape of a hemisphere with a diameter of 10 cm. What is the approximate maximum volume of soup that the bowl can hold? A 2.094 cm B. 524 cm C. 262 cm
Answer:
C. 262 cm
Step-by-step explanation:
Use the formula for the volume of a sphere, V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³
Since the diameter is 10 cm, the radius will be 5 cm
Plug in the radius into the formula:
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](5³)
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](125)
V = 523.6
Since the bowl is a hemisphere, divide this by 2:
523.6/2
= 261.8
Rounding to the nearest cm, the volume of the bowl is 262 cubic cm.
So, the correct answer is C. 262 cm
The graph below shows a company's profit f(x), in dollars, depending on the price of goods x. in dollars, being sold by the
company:
Part A: What do the x-intercepts and maximum value of the graph represent?
Part B: What are the intervals
where the function is increasing and decreasing, and what do they represent about the sale and
profit?
Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent?
Answer:
What do the x-intercepts and maximum value of the graph represent? The x-intercepts represent the points at the ground, so with that you have the width of the tunnel at ground level is 120 ft - 0 ft = 120
Step-by-step explanation:
How does Ray Bradbury's description of Margot's appearance in "All Summer in a Day" also give insight into her feelings?
Answer:
The description of Margot as a frail girl who had lost her vibrancy shows that she was in eager anticipation of the rain.
Step-by-step explanation:
The short story, "All Summer in a Day", tells of how a girl named Margot always stood differently from her classmates because she eagerly anticipated a time when the sun will come out as the scientists projected. It had been raining in this planet, Venus for seven years non-stop.
Margot who came from planet earth some five years ago could still clearly recall how the sun looked like and despite her description of it, the children still doubted her. On the day the sun finally came, the children locked Margot in a closet and she was unable to see the sun.
which one is bigger 6000 grams or 5000 kg
Answer:
[tex]5000kg \: is \: greater.[/tex]
[tex]as \: we \: know \: that \: 1000 \: gramm \: make \: 1 \: kg[/tex]
[tex]so \: 6000 \: g \: make \: 6 \: kg.[/tex]
[tex]and \: 5000 \: kg \: is \: much \: greater \: than \: 6 \: kg.[/tex]
Evaluate each expression
7 + 9=
43 - 5=
[tex]y= 82(1.045)[/tex]What is the rate of growth Michael expects each week after launching the website?
y=82(1.045)
Answer: pls help with the answer this is hard
Step-by-step explanation: i really need help!!!
The length of adult King Cobra snakes is normally distributed with µ = 18 feet and σ = 2.1 feet. What is the probability that a randomly selected adult King Cobra snake be over 15.9 feet long? 85.54% 79.08% 15.87% 84.13%
Answer:
the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%
Step-by-step explanation:
The computation of the probability is shown below":
P(x>15.9) is
[tex]= P (\frac{x - \mu}{\sigma} > \frac{15.9 - 18}{2.1} )\\\\= P (z>-1)\\\\= 0.8413\\\\= 84.13\%[/tex]
Hence, the probability that a randomly selected adult King Cobra snake be over 15.9 feet long is 84.13%
We simply applied the above formula
Answer:
the probability that a randomly selected adult King Cobra snake be over 15.9 feet long which is 84.13%
Step-by-Step Explanation:
P(X 15.9). Solve for the z-score and then match it with the probability from the area under the normal curve table. Once that is found, take the complement or use symmetry to solve
Note:
Hope this helps you in the future.
Learn More:
https://brainly.com/question/6305087?referrer=searchResults
8. Is this number correctly written in scientific notation? 6.875 x 10 yes O no
Answer:
No
Step-by-step explanation:
I believe you have to approximate or round it off.
that will be 6.9.
Suppose John is a 14-year-old boy who weighs 45 kg (100 lbs). John is at the 25thpercentile of weight for his age. Twenty-five percent of 14-year-old boys weigh the same or less than John and 75% weigh more than John. If John’s height is 170 cm (almost 5’7”), he is at the 75thpercentile of his height for age. Based on the informationgiven about John, how would you describe John’s general appearance?
Marlon and Brent are each measrueing one of their shoes. Their shoes measure 15 inches in all. Marlon's shoe is 1 inch longer than Brent's shoe. How long is Brent's shoe?
Answer:
16
Step-by-step explanation:
15 plus 1 equals 16 I hope this helps
Some students want to order shirts with their school logo, The Tees company charges $9.65 per shirt
plus a setup fee of $43. The Shirtz company charges $8.40 per shirt plus a $58 fee. Which company
would you recommend to the students?
find the median of data set: 23, 31, 32, 34, 39, 38, 38, 34, 38
Answer: 34
Hope this helps :)
please help me!!!!!!!!!
Answer:
120
Step-by-step explanation:
TQR = 180 - (35+25) = 120
TQP= 180-120=60
TNP=TQP =60
MNT= 180-60=120
What is the exact circumference of the circle?
Answer:
circumference = 22.2144 or 5π√2
Step-by-step explanation:
the diameter of the circle would be equal to the diagonal of the square.
Using the Pythagorean theorem:
D² = 5² + 5²
D² = 50
D = 7.0711 or 5√2
circumference = πD = 5π√2 = 22.2144
Answer:
diagonal or diameter =√(5²+5²)=5√2unit
therefore radius =5/2√2unit
circumference of circle =2πr=2×π×5/2×√2=5π√2unit
PLZZZZZZ HEEEEEEEEELLLLLPPPPP
(will mark brainliest for correct answers)
Answer:
y=4
Step-by-step explanation:
3(9) +4y= 43
27+4y=43
4y=16
y=4
This is a similar triangle please find the missing length. (?)
Answer:
33
Step-by-step explanation:
In ΔPQR,
length of side=
77= 7×11
84= 12
Similarly, In ΔFGH
length=
36=3×12
so, the other side= 3×11= 33
Answer:
33
Step-by-step explanation:
[tex]\frac{HG}{FG} =\frac{RQ}{PQ}[/tex], insert given values
[tex]\frac{?}{36}=\frac{77}{84}[/tex], cross multiply
84*?=36*77
84*?=2772, divide both sides by 84 to get ? by itself
?=33