Answer:
(-4,5)
Step-by-step explanation:
use elimination method to solve
x+2y=6
3x+4y=32
make the x coefficient to be equal by multiplying the x by 3
3x+6y=18
-3x+4y=32
since the signs for the z coefficient are different than you add 3x+-3x=0
6y+4y=10y
18+32=50
10y=50
y=5
if y is equal to 5 then substitute
x+(2*5)=6
x+10=6
x=-4
(-4,5)
Which of the following shows the equation log Subscript 4 Baseline (x + 6) = 2 rewritten using logarithms?
Answer: The answer is c log4(x+6)=log4 16
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Mai spent $64 on fruit at the grocery store. She spent a total of $80 at the store. What percentage of the goal did she spend on fruit?
Answer:
80%
Step-by-step explanation:
64/80 = .8/1
multiply by a hundred and you get 80%
Write an equation to represent the situation: Last summer, Gary trained 14
more dogs than Zina. Together they trained 82 dogs. How many dogs did Gary train?
Answer:
A. g + (g + 14) = 82
Bonus: Gary trained 48 dogs. Triana trained 34.
Step-by-step explanation:
Since Gary trained 14 MORE dogs, anything with a minus sign is definitely wrong. As a result, B & C are eliminated. D is also eliminated because that simplifies to 2g + 28 = 82, which signifies Gary trained 28 more dogs, which is not true. That leaves A as our answer.
g + g + 14 = 82
Combine g & g to get 2g.
2g + 14 = 82
Subtract 14 from both sides.
2g = 82 - 14
2g = 68
Divide both sides by 2.
g = 68/2
g = 34
With that, we now know Triana trained 34 dogs. Add 14 to that, and you get 48 dogs, which is how many Gary trained.
An architect is constructing a model in the shape of a triangle that has one side length of 9 centimeters and another side length of 8 centimeters. Which
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Sides:\ 9cm\ and\ 8cm[/tex]
The question is incomplete, as what is required is not state. However, a possible question could be to determine the possible side length of the third side.
To do this, we make use of the triangle inequality theorem which states that:
Given three sides (a, b and c) of a triangle, the following inequalities exist.
[tex]a + b > c[/tex]
[tex]a + c > b[/tex]
[tex]b + c > a[/tex]
Let a and b represent the two sides such that:
[tex]a = 9[/tex]
[tex]b = 8[/tex]
The inequalities become:
[tex]9 + 8 > c[/tex]
[tex]9 + c > 8[/tex]
[tex]8 + c > 9[/tex]
Solve for c in each:
[tex]9 + 8 > c[/tex]
[tex]17 > c[/tex]
[tex]c < 17[/tex]
[tex]9 + c > 8[/tex]
[tex]c > 8 - 9[/tex]
[tex]c > - 1[/tex]
[tex]8 + c > 9[/tex]
[tex]c >9 - 8[/tex]
[tex]c >1[/tex]
The value of c must be positive, so, we consider;
[tex]c >1[/tex] and [tex]c < 17[/tex]
Rewrite:
[tex]1 < c[/tex] and [tex]c < 17[/tex]
Combine both
[tex]1 < c < 17[/tex]
Hence, the value of c is:
[tex]c = (1,17)[/tex]
A spinner has spaces numbered 1 through 10, with an equal chance of
landing on each. A winning spin is one that lands on a 7 or more. What is
the probability of a winning spin? (answer as a reduced fraction) *
1/4
1/2
3/10
2/5
2/5 is the aneswer. beacuse 7/8/9/10 eqaul 4 times out of 10 to win 4/10 reduces down to 2/5.
Ms. Hernandez takes 56 students to the museum. Some of the students travel in a van and some travel on a bus. Going to the museum, the ratio of students in the van to students on the bus is 2 : 5 Going back to school, 2 students move from the van to the bus.
Answer:
I think we are missing part of the question.
But if it's looking for how many students rode the bus and van on the way to the museum when the ratio was 2:5, it's 16 students in the van and 40 students in the bus.
On the way home, it was 14 students in the van and 42 students in the bus, the ratio changes to 1:3
Help I need this quick
A number from 1-20 is chosen at
random. What is the probability
that it is not prime number.
Answer:
There are 12 composite (and 8 primes) in the first twenty whole numbers. So the probability of randomly choosing a non-prime is 12/20 or 60%.
A right triangle has legs that measure 8 feet and 6 feet. What is the length of the hypotenuse?
A. 2 feet
B. 5 feet
C. 10 feet
D. 14 feet
Help ASAP!
Answer:
C) 10 feet
Step-by-step explanation:
h² = 8² + 6² = 64 + 36 = 100
h = √100 = 10
Find the area of quarter circle with the radius of 10
Answer: 78.5
Step-by-step explanation:
Formula: A=pi*r^2 or Area = 3.14*radius squared (by two)
A = 3.14*10^2
A = 3.14*100
A = 314
Divide it by 4, because it's a quarter of the circle: A = 314/4
A = 78.5
Answer: 78.5
Your welcome :)
Carlos was studying whether or not eating fast food had a effect on a person's weight. He surveyed 100 people and recorded the
number of times they ate fast food per week and their weight. Carlos then calculated the correlation value and got a value of 0.93.
Which conclusion could Carlos make?
es )
A)
Eating fast food does not cause an increase in a person's weight.
B)
There is no relationship between eating fast food and a person's weight
0
There is a strong positive relationship between a person's weight and
eating fast food.
D)
There is a definite cause and effect relationship between eating fast food
and gaining weight.
Answer: C
Step-by-step explanation:
I got this right
Is LMN a right triangle?
Answer:
True
Step-by-step explanation:
We can sue the pythagorean theorem to verify. 15^2+36^2 should equal the longest side squared or 39^2. If we plug in the numbers, it checks out!
Answer:
true
Step-by-step explanation:
we can use the Pythagorean theorem to verify if the sum of the squares built on the legs is equal to the square built on the hypotenuse
36^2 + 15^2 = 39^2
1296 + 225 = 1521
1521 = 1521
the equality is verified so the answer is true
please answer the questions
???Anyone knows answer??
Answer:
30feet
Step-by-step explanation:
I don't know the requirement to get full mark but can work through the equation but:
The man is creating a small triangle as information about the small triangle is given. The small triangle is a miniature size of the bigger triangle. So,
let x be the height of the tree
6/4=x/20
6/4*20=x
x=30 feet
A red light flashes every 14 minutes. A blue light flashes every 24 minutes. When will the two lights flash together again if they last flashed together at 8 AM
Answer:
It happened in 168 minutes
Step-by-step explanation:
24: 48, 72, 96, 120, 144, 168
14: 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168
The common LCM is 168. It happened in seven 24's and in twelve 14's
observe partes da reta numerada e escreva os números naturais indicados pelas setas.
Solve the following equations 3x-5=40
Answer:
x=15
Step-by-step explanation:
3x−5+5=40+5
3x=45
Step 2: Divide both sides by 3.
3x3=453
x=15
Answer:
x = 15
Step-by-step explanation:
3x - 5 = 40
add 5 to each side of the equation:
3x - 5 + 5 = 40 + 5
simplify:
3x = 45
divide both sides by 3:
3x/3 = 45/3
simplify:
x = 15
A store sells a television for $1000. There are two payment options. Which option is better? ( PLS HELP!! I'M RLY STRUGGLING!! :< )
Suppose that the breaking strength of a rope (in pounds) is normally distributed, with a mean of 100 pounds and a standard deviation of 17. What is the probability that a certain rope will break before being subjected to 130 pounds?
Answer:
0.961
Step-by-step explanation:
To answer this, find the area under the standard normal curve to the left of 130 pounds:
Using the function normalcdf( on a TI calculator, we get:
normalcdf(-1000, 130, 100, 17) = 0.961
Donald used 1 inch cubes to make the rectangle prism shown. The volume of the prism is_____ cubic inches WILL GET BRAINLIEST
Answer:
am going to answer but it might be wrong
Step-by-step explanation:
i believe you do 12 Tom 6 * 8 because it's linked times with Tom's height which gives 576
Answer:
1, 30, 3, 90 :)
Step-by-step explanation:
you find the colume of each cube, then you go off of that
Write an equation in slope-intercept form for the line that passes through the
given point and is parallel to the graph of the given equation.
(-1, -2), 3x - y = 5
Answer:
y = 3x + 1
Step-by-step explanation:
the slope of the line of the given equation can bé find in this way: -a/b, where a is the number that multiplies x and b is the number that multiplies y
m = -3/-1 = 3
two parallel lines have the same slope, so also the line that we are a searching has m=3
now we can use this formula
y-y1 = m(x-x1) where y1 and x1 indicate the coordinates of the given point
y-(-2) = 3 (x-(-1)
y+2 = 3x + 3
y = 3x + 3-2
y = 3x + 1
3) Champs sold twice as many footballs as basketballs and 5 more soccer
balls than basketballs. If they sold a total of 65 balls, how many of each
kind of ball did they sell?
Answer:
12, 15
Stepby-step explanation:
please help with number 11!!!!!!!!!!!!!!
Answer:
I'm not to sure about which one is 11 but the answer is B.
Step-by-step explanation:
If you were able to pay off and get rid of all of your debt, what is that called?
Hewwo!
[tex] \underline{ \underline{ \bf{Question}}} : [/tex] In a circle of radius 5 cm , AB and CD are two parallel chords of length 8 cm and 6 cm respectively. Calculate the distance between the chords , if they are :
i. on the same side of the centre
ii. on the opposite side of the centre
*Show your workings!
Answer:
AB=8cm⇒AE=4cmCD=6m⇒CF=3cmIn△AEDAE=4cm,AO=5cmOE=(AO)2−(AE)2=52−42=3cmIn△OFCCF=3cm,CO=5cmOF=OC2−CF2=52−32=4cm
∴ Distance between the chords=4cm−3cm=1cm
Answer:
I) 1 cm
II) 7 cm
Step-by-step explanation:
We are given a circle with a radius of 5 cm. AB and CD are two parallel chords of length 8cm and 6cm respectively. And we want to calculate the length of the chords if they are:
I) On the same side of the center.
Please refer to the first figure.
In it, O is the center, AB measures 8 and CD measures 6.
To find the distance between the two chords, we essentially need to find KJ, which is OJ - OK.
We will construct a segment from O to K and from K to J. This is perpendicular to the chords. Therefore, by the Perpendicular Bisector Theorem, it also bisects the chords.
ΔAOK is a right triangle. Therefore:
[tex]AO^2=OK^2+KA^2[/tex]
AO is simply the radius.
KA is half the length of AB since OK perpendicularly bisects the chord.
Therefore:
[tex](5)^2=OK^2+(4)^2[/tex]
So:
[tex]25=OK^2+16\Rightarrow OK^2=9\Rightarrow OK=3[/tex]
Likewise, ΔCOJ is also a right triangle. Therefore:
[tex]CO^2=OJ^2+JC^2[/tex]
CO is the radius, and JC will be half the length of CD. Thus:
[tex](5)^2=OJ^2+(3)^2\Rightarrow OJ^2=16\Rightarrow OJ=4[/tex]
Therefore, the distance KJ between the two chords are:
[tex]KJ= OJ-OK=4-3=1\text{ cm}[/tex]
II) On opposite sides of the center.
Please refer to the second figure.
Again, O is the center, AB measures 8, and CD measures 6.
Likewise, segments OK and OJ are perpendicular bisectors of AB and CD, respectively.
And to find the distance, we essentially need to find JK or OJ + OK.
ΔKOB is a right triangle. Thus:
[tex]OB^2=OK^2+KB^2[/tex]
OB is the radius, and KB is half of AB:
[tex](5)^2=OK^2+(4)^2\Rightarrow OK=3[/tex]
ΔJOD is also a right triangle. Thus:
[tex]OD^2=OJ^2+JD^2[/tex]
OD is the radius and JD is half of CD:
[tex](5)^2=OJ^2+(3)^2\Rightarrow OJ=4[/tex]
Therefore, the distance between the two chords are:
[tex]JK=OJ+OK=4+3=7\text{ cm}[/tex]
What is the equation of the line that passes through the point (-6, -5) and has a
slope of 3/2 ?
Answer
y= 1.5x+4
Step-by-step explanation:
Factor the following trinomials. Place each factor in its own blank. You do NOT need to put
parenthesis, just put one binomial (WITHOUT SPACES) into each blank.
X^2+ 13x + 36
Answer:
(x+9)(x+4)
Step-by-step explanation:
We wish to factor x²+13x+36 into the form of (x+p)(x+q) where p+q=13 and pq=36.
Factors of 36: 1, 2, 3, 4, 6, 9, 12. 18, 36
Notice that 9+4=13 as 9*4=36, which satisfies the values of p and q
This means x²+13x+36 can be factored into (x+9)(x+4)
What integer values satisfy both inequalities? − 2 < x < 3 − 2 ≤ x ≤ 2
Answer:
-1, 0, 1, 2
Step-by-step explanation:
range of x in − 2 < x < 3: -1, 0, 1, 2
range of x in − 2 ≤ x ≤ 2: -2, -1, 0, 1, 2
Consider the function: h(x) = 11 - 3x What is h(-2) ?
Answer:
17
Step-by-step explanation:
11-3x
11-3(-2)
11+6
Hence, 17
Hope it helps!
The evaluation is 17 when h(-2) of h(x) = 11-3x.
What is a function?A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co domain, and domain for every function.
The given function is
h(x) = 11-3x
when x = -2
h(-2) = 11-3(-2)
= 11 + 6
= 17.
Therefore, the h(x) = 11-3x is 17 when x = -2
To learn more about the function;
brainly.com/question/28303908
#SPJ2
A computer game company conducts a survey of random sample of customers to determine their favorite type of game. The results of the survey are shown below based on the survey results how many customers are expected to prefer fantasy games out of the 1,000 customers?
Answer:
1.6% of customers
Step-by-step explanation: