Answer:
we start by finding the gradient which is 2
then we use the formula y-y1=m (x-x1)
which will be = y=2x-7
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
Determine the values of the variables in the parallelogram below.
5
(m2 - 4m)°
140°
x² + 4x
Answer:
m = -10, 14 x = 1, -5
Step-by-step explanation:
m^2 - 4m = 140 (in a parallelogram, opposite angles are congruent)
(1)m^2 - 4m - 140 = 0
Objective: Find two numbers that multiply to -140(1 * -140) and add to -4
Numbers: 10, -14
(m + 10)(m - 14) = 0
m + 10 = 0, m - 14 = 0
m = -10, m = 14
x^2 + 4x = 5 (in a parallelogram, opposite sides are equal)
(1)x^2 + 4x - 5 = 0
Objective: Find two numbers that multiply to -5(1 * -5) and add to 4
Numbers: -1, 5
(x - 1)(x + 5) = 0
x - 1 = 0, x + 5 = 0
x = 1, x = -5
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.
I need help with this question
Answer:
A
Step-by-step explanation:
B/c
2Square +2square the all over in the radical =2 in the radical 2
i think this is the answer
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
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
Lisa and Maria were baking oatmeal cookies. Lisa baked 24 cookies on Friday and 36 on Saturday. Maria baked the same amount of cookies that Lisa baked on Saturday. How many cookies did they bake altogether?
Answer:
96 cookies.
Step-by-step explanation:
I don't love the wording of the question, but here's what I see:
Lisa Friday: 24
Lisa Saturday: 36
Maria total: 36
Cookie total: 96
-----------------------------------------------------
I can't really tell from how the question is worded if Maria's total was the total of what Lisa made, and she did it all on Saturday, or if Maria baked Lisa's Saturday number of cookies.
If 96 is the wrong answer, then try:
Lisa Friday: 24
Lisa Saturday: 36
Maria total: 60
Cookie total: 120
The Clayton family and the Mercado family are seeing a movie together in the theater. At the concession stand, Mr. Clayton paid $20 for 4 large popcorns and 2 large drinks that his family will share. Mrs. Mercado bought 4 large popcorns and 4 large drinks and paid $28. How much does each item (popcorn & drink) cost?
Answer:
Popcorn costs 4. Drink costs 2.
Step-by-step explanation:
4x4=16
2x2=4
16+4=20
WILL GIVE BRAINLIEST!
The length of a side of a square is (6x + 6) km. Find the area of the square in terms of
the variable x. km2
A population of a city is 30 000 and decreases 3% each year. If this trend continues. what will the population be after 10 years?
Answer:
22123
Step-by-step explanation:
→ Find the multiplier
3% decrease = 0.97
→ Multiply the population by the multiplier which is to the power of years
30000 × 0.97¹⁰ = 22122.7 = 22123
Sally is at the park standing directly under a kite which is 20 feet overheadSally's dad is flying the kitc and is standing 15 feet from her If both are on level ground, how long is the kite string in feet?
Answer:
25 feet
Step-by-step explanation:
Given that Sally is at the park standing directly under a kite which is 20 feet overheadSally's dad is flying the kitc and is standing 15 feet from her If both are on level ground, how long is the kite string in feet?
To calculate the length of the kite string, we will apply pythagorean theorem.
Length = sqrt ( 20^2 + 15^2 )
Length = sqrt ( 400 + 225 )
Length = sqrt ( 625 )
Length = 25 feet.
Therefore, the length of the kite string is 25 feet.
Which speed below is equivalent to 1/2 miles per hour
A.
3/8 miles per 3/4 hour
B.
5/6 miles per 5/12 hour
C.
1/2 miles per 1/4 hour
D
3/4 miles per 1/2 hour
E
4/5 miles per 4/10 hour
Answer:B
Step-by-step explanation:
If it takes Joan 10 weeks to make 2 dollhouses, how long will it take her to make 15 dollhouses?
10 points
A. 75 weeks
B. 3 weeks
C. 30 weeks
D. 150 weeks
Answer:
D 150 thats easy multiply or add
(1.3x + 2.4) + (-6.1x – 3.2)
Step-by-step explanation:
In simplify form: 1.3x+2.4-6.1-3.2 = -4.8x-0.8
or factor the expression: =-4/5×(6x+1) Alternate form: -0.8(6x+1). I hope this helps.
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
How many solutions can be found for the system of linear equations represented on the
graph?
A) No solution
B) One solution
C) Two solutions
D) Infinitely many solutions
Answer:
No solution
Step-by-step explanation:
Use substitution
2x+1=2x-1
Subtract 2x on both sides
1= -1
No solution
Can someone help me with this. Will Mark brainliest. Need answer and explanation/work. Thank you!
Answer:
I hope this helps a little bit.
A frying pan has a radius of 14 cm. What is the circumference of the pan?
HELP giving brainlest and extra points
divide tomato genome and human genome and you'll get
= 0.3
standard form is
3 × 10-¹
What is the total surface area of the figure below?
6 cm
7 cm
13.1 cm
359.1
0 275,1
400
317.1
Answer:
275.1 I'm so sorry if it is wrong dont come at me please
The diagonal of a suitcase measures 30 inches and the height is 18 inches. What is the width of the suitcase to the
nearest Inch?
Answer:
Step-by-step explanation:
By the Pythagorean Theorem we know
h^2=x^2+y^2 (where h is the hypotenuse and x and y are sides of a right triangle)
w^2+18^2=30^2
w^2=30^2-18^2
w^2=900-324
w^2=576
w=24 in
How to do surface area- cylinder worksheet
Answer:
to find surface area of cylinder
A=2πrh+2πr²
Step-by-step explanation:
Two people share £250 in the ratio 2 : 3 calculate each share
Step-by-step explanation:
Let the shared amount be 2x and 3x Then
2x + 3x = £ 250
5x = £ 250
x =£250/ 5
x = £ 50
Now
2x = 2 *£ 50 = £ 100
3x = 3 * £50 = £150
Hope it will help :)❤
five less than three time a number is greater than two thrirds of that number
Answer:
3x - 5 > 2/3x
Step-by-step explanation:
Helllohello help please if you want -
3(7d + 4e) = 3 • 7d + 3 • 4e = 21d + 12e
The measure of arc BC is ___ degrees.
Answer:
150
Step-by-step explanation:
How do we check for proportionality in tables?
A Pick 2 pairs from the table
B Cross multiply
C Divide
D All of the above
Why might Razis method not be a good way to estimate the probability? My team won 18 of their last 20 matches, so the probability that they will win their next match is 18/20 = 90%
Answer:
It is a really idealistic way to estimate probability.
It usually works well for random events where there is no restriction like:
"There are N elements in a set, the probability of randomly selecting any element is the same (so there is no restriction) meaning that for every single element, the probability is 1/N.
Now suppose that there are K elements (K < N) with a given characteristic, then the probability of randomly selecting one of the K elements out of the sett with N elements is equal to K times the probability of each element, this is:
P = K*(1/N) = K/N"
Then if a dice has 6 possible outputs, and we want to find the probability of getting a 3 or a 5, we need to find the quotient between the outcomes where we get a 3 or a 5 (2) and the total number of outcomes (6)
P = 2/6
Now let's go to the case in the problem:
We know that out of the last 20 games, your team won 18.
Then yes, your team won (18/20)*100% = 90% of their played games.
Does this mean tath the probability of winning the next game is 90%?
Well no, because this is not a random selection, there are a lot of other things needed to analyze, as the win rate of the other team (suppose that the other team won 14 of their last 20 games, then their win rate is (16/20)*100% = 70%
Does this mean that the probability where our team wins is 90%, and the probability of the enemy team winning is 70%?
Well no, this makes no sense at all, and this is why this method is not a good way to estimate probability in complex cases like this one.
Determine the value of x in each figure.
HELPPPPP PLEASEEEEE
Answer:
15°
Step-by-step explanation:
120° and 8x are vertically opposite angles, which are always equal.
=> 8x = 120°
=> x = 120/8
=> x = 15°
Help me with this!!!
Answer:
z = 9
Step-by-step explanation:
7z = z + 54
7z - z = 54
6z = 54
z = 54 / 6
z = 9