Answers
Answer:
x = -4
y = -25
Step-by-step explanation:
Since one of the equations is already set with one variable as the subject ( y = 7x + 3) substitute that into the one below it:
9x - 2y = 14
9x - 2(7x + 3) = 14
9x - 14x - 6 = 14
-5x = 20
x = -4
Substitute this into one of the equations and solve for the other variable:
y = 7x + 3
y = 7(-4) + 3)
y = -28 + 3
y = -25
hope this helps!
Answer:
(- 4, - 25 )
Step-by-step explanation:
Given the 2 equations
y = 7x + 3 → (1)
9x - 2y = 14 → (2)
Substitute y = 7x + 3 into (2)
9x - 2(7x + 3) = 14 ← distribute and simplify left side
9x - 14x - 6 = 14
- 5x - 6 = 14 ( add 6 to both sides )
- 5x = 20 ( divide both sides by - 5 )
x = - 4
Substitute x = - 4 into (1) for corresponding value of y
y = 7(- 4) + 3 = - 28 + 3 = - 25
solution is (- 4, - 25 )
Related Questions
what is this help help help
Answers
Answer:
you need to subtract 23 from 33 to find x
Step-by-step explanation:
Hopefully this helps
3(r+2)+5(2-r) =-32 can someone tell em the answer to that please
Answers
Answer:
r = 24
Step-by-step explanation:
3(r+2)+5(2−r)=−32
Step 1: Simplify both sides of the equation.
3(r+2)+5(2−r)=−32
(3)(r)+(3)(2)+(5)(2)+(5)(−r)=−32(Distribute)
3r+6+10+−5r=−32
(3r+−5r)+(6+10)=−32(Combine Like Terms)
−2r+16=−32
−2r+16=−32
Step 2: Subtract 16 from both sides.
−2r+16−16=−32−16
−2r=−48
Step 3: Divide both sides by -2.
−2r/-2 = -48/-2
r = 24
Answer: r = 24
3(r+2)+5(2-r) =-32
this equals (if we do the multiplication)
3r+6+10-5r=-32
this equals (if we simplify)
-2r+16=-32
this equals (because we are subtracting from 1 side, we must subtract from the other)
-2r=-48
r=24
Shannon walks 2,500 metres in 1 hour 40 minutes.
How far does she walk in one minute?
Answers
Answer:
25m
Step-by-step explanation:
Shannon's rate is 2,500m/100min. Simplifying, we see that this is equal to 25m/1min.
So, she walks 25 m in one minute.
there are baked bean cans, 2 for 3$, how much for 1 can
Answers
2. (11.01 MC)
Nina has a piece of fabric measuring 5 yards. How many 1-inch strips can be cut from the fabric?
108 strips
I
144 strips
180 strips
120 strips
Answers
Answer:
120strip
Step-by-step explanation:
A building is 456 feet tall and 95 feet wide. If a scale model of the building is 12 inches tall, what
is the width of the scale drawing?
A.
3.1
B.
2.8
C.
2.5
D.
2.1
B
Ob
D
C С
od
4
Answers
Answer:
I think the answer is C
Step-by-step explanation:
456÷12= 38
95÷38= 2.447 (about 2.5)
PLEASE HELP, find the orthocenter of this triangle
Answers
Answer:
The orthocenter of a triangle is the point at which the three altitudes of a triangle intersect. This involves creating 3 lines, one from each vertex (K, L, and M) perpendicular to the line segment opposite it, so K⊥LM, L⊥KM, and M⊥KL.
Because these three lines intersect at one point, you only need to do this procedure for two of the three altitudes. Because K and M are on the same Y coordinate (-4), lets do this for LM and KL
First, we need to find the slope of the perpendicular to each line segment, so we need the slope of LM and KL.
The slope is the change in Y over the change in X
Slope LM = 6 -(-4) / 2-7 = 10/-5 = -2
Slope KL = -4-(6) / 4-2 = -10/2 = -5
The slope of a perpendicular line is the negative reciprocal of the slope of the given line, so for
the slope of K⊥LM has to be 1/2 and
the slope of M⊥KL has to be 1/5
Second, the vertex has to be on a line with that slope. So using the point-slope formula
(y-y1) = m(x-x1) , where x1,y1 is a point on the line for each line gives us
K⊥LM: y-(-4) = 1/2(x-4)
M⊥KL: y-(-4) = 1/5(x-7)
Third, find the point on both lines, are where the two equations are equal
So, 1/2(x)-2 = 1/5(x) - 7/5;
5x - 20 = 2x - 14
3x = 6 --> x=2
y+4=-1 --> y=-5
(2,-5)
Step-by-step explanation:
There are 144 people are in an audience. The ratio of adults to children is 5 to 3. How many are adults
Answers
Answer:
90
Step-by-step explanation:
5+3=8 total ratio
5/8 × 144 = 90
find the volume of a cylinder with a height of 7 cm and a radius of 3 cm.
Answers
Answer: What does my dad have in common with Nemo?
They both can’t be found...
Explanation: the milk is in the third aisle
Answer:
The answer is D.
Step-by-step explanation:
HELP One of the tokens for a board game is a circle containing 4 congruent triangles, as a modeled below.
A. 2.5 cm radius 2
B. 38.26cm radius 2
C. 26.26 cm radius 2
D. 110.6 cm radius 2
Answers
Answer:
I got you
Step-by-step explanation:
The answer is B,
If you add all the sides of everything up it equals 38.26
Answer:
b
Step-by-step explanation:
IF U TELL ME RIGHT ANSWER U GET BRANLIEST
Answers
Answer:
the 2nd one
Step-by-step explanation:
Answer:
he multiplied the exponents when he should have added them to get 3^9
you can only add exponents if the base is the same
Can anyone help me with this math stuff? I will give you 15 points please help me
Answers
Answer:
b
Step-by-step explanation:
Answer:
i believe it is b
Step-by-step explanation:
What is a acute triangle and what do a acute triangle look like?
Answers
Answer:
An acute triangle is a triangle with three acute angles. An obtuse triangle is a triangle with one obtuse angle and two acute angles. Since a triangle's angles must sum to 180° in Euclidean geometry
if x,y and z represent three different digits from 1 to 9 smallest value of x+y+z/xyz
Answers
Answer:
7+8+9/7*8*9 = 24/504 or 0.0476
Step-by-step explanation:
Two friends are collecting stuffed animals. Veronica has 5 more than double the number of stuffed animals as her friend Mariposa. Together, they have 32 stuffed animals.
Answers
Answer:
friend has 9, Veronica has 23
Step-by-step explanation:
Veronica= 2x +5
friend = x
2x+5+x= 32
combine like terms
3x+5=32
move 5 to the other side
3x= 27
divide by 3
x=9
Which ratio is not equivalent to the other three? A 2 3 B 12 15 C 18 27 D 6 9
Answers
Answer: B= 12 15
Step-by-step explanation:
The given ratios are
A) 2 3= 2: 3 already in its simplest form
B) 12 15 =12:15 Changing to its simplest form, we divide both by 3 giving us 4:5
C) 18 27 =18: 27 Changing to its simplest form, we divide both numbers by 9 giving us =2:3
D)6 9=6:9 Changing to its simplest form, we divide both by 3 giving us
2:3
Therefore the ratio not equivalent to other three is 12:15
PLEASE HELP!!
Which of the following functions represents f(n), the number of small squares in figure n?
A. f(n) = (n + 1)^2 – 1
B. f(n) = 2n^2 + 1
C. f(n) = n^2 – 1
D. f(n) = (n + 1)^2 + 1
Answers
Answer:
A. f(n) = (n + 1)^2 – 1Step-by-step explanation:
Figure 1
3 = 4 - 1 = 2² - 1 = (1 + 1)² - 1Figure 2
8 = 9 - 1 = 3² - 1 = (2 + 1)² - 1Figure 3
15 = 16 - 1 = 4² - 1 = (3 + 1)² - 1The function is:
f(n) = (n + 1)² - 146/110 as a fraction
Answers
Answer:
23/55
Step-by-step explanation:
Assuming you want this simplified,
23/55
What is the leading coefficient of the polynomial function f(x)=x-2x³-4?
Answers
Answer:
-2
Step-by-step explanation:
The leading coeefceint is the number in front if the highest degree. The highest degree is x^3 so the leading coefficient that -2.
Can you figure out the number riddle for 100 Points
I am an even number.
I am less than 100.
The sum of my digits is 15.
I am a multiple of 12.
What number am I?
Answers
Answer:
The number of the size of the cup is determined by ____________ diameter of the cup.
Step-by-step explanation:
Answer:
I may be wrong but the answer is 96 if it is not you can delete my answer.
I'm sorry if i'm not much help.
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Answers
Answer:
shaded area = 1/2
shaded area = 0.5
shaded area = 50%
Step-by-step explanation:
Answer:
shaded area = 1/2
shaded area = 0.5
shaded area = 50%
Step-by-step explanation:
mark brainliest Is correct on khan academy
A bag contains 37 coins consisting of only dimes and quarters.The total amount of money in the bag is $6.85. How many dimes are in the bag ??
Answers
Answer:
16 dimes
Step-by-step explanation:
D=number of dimes
Q=number of quarters
D+Q=37
.25 xQ + .10 x D=6.85
sub Q from first equation
.25(37-D) + .10 x D=6.85
D(.10-.25) + .25 x 37 =6.85
-.15D + 9.25=6.85
D= (6.85-9.25)/(-.15)
D=16
The manager at the grocery store ordered cans of soup and jars of peanut butter. The ratio of cans of soup to jars of peanut butter was 4:3. Cans of soup Jars of peanut butter 4 3 12 36 How could you complete the table of equivalent ratios? A. Write 5 in the soup column and 13 in the peanut butter column. B. Write 13 in the soup column and 35 in the peanut butter column. OC. Write 16 in the soup column and 27 in the peanut butter column. D. Write 32 in the soup column and 15 in the peanut butter column.
Answers
Answer:
i
Step-by-step explanation:
Answer:
Select the table that has:
4 3
8 6
20 15
(The right answer!)
Step-by-step explanation:
0.5m + 2 = 7.5 please I don’t understand
Answers
Answer:0
. 5 + 2 = 7 . 5
1 2 + 2 = 7 . 5
Step-by-step explanation:
Answer:
m = 11
Step-by-step explanation:
0.5m + 2 = 7.5
0.5m + 2 - 2 = 7.5 - 2
0.5m = 5.5
0.5m ÷ 0.5 = 5.5 ÷ 0.5
m = 11
PLEASE HELP!!
I’ll give brainliest
Answers
Answer:
B
Step-by-step explanation:
Hope this helps ;)
A Cinema has 240 seats. 144 seats were sold for the current movie. What percent of seats were empty?
Answers
find x and y?
i dont want to cheat but can anyone tell me how to do it or how to start out
Answers
Answer:
x is 13
y is 39
Step-by-step explanation:
Answer:
y= 39 x= 10
Step-by-step explanation:
congruent isosceles triangles
longer sides measure the same 13 and 13 39 and 39 ( y =39)
39/30 = 13/x
cross multiplication:
39x = 13x30
39x = 390
x=10
What is the lowest common denominator of the two fractions? An explanation would help x
Answers
Answer: 30
Step-by-step explanation:
9/10 = numerator 9 x 3 = 27 and denominator 10 x 3 = 30
2/15 = numerator 2 x 2 = 4 demoninator 15x 2 = 30
This is to make it easier to subtract with a common denominator
= 27-4/ 30
= 23/30
the lowest common denominator is 30
Answer:
Lowest common denominator are
7/10
8.
A cube that has a length of 1cm on each side has a volume of 1 cmHow many cubic
centimeters are in 1 cubic meter? (Hint: The answer is not 100.)
Answers
Answer:
1 cubic centimetre =1 × 10^-6 cubic metre
Step-by-step explanation:
A cube that has a length of 1cm on each side has a volume of 1 cm. How many cubic centimeters are in 1 cubic meter? (Hint: The answer is not 100.)
From the above question,
Side length of the cube = 1cm
Volume of the cube = (side length)³
= (1cm)³
= 1 cm³
How many cubic centimeters are in 1 cubic meter?
Note that:
100 cm = 1 m
1 cm³ = x m³
1 cm³ = (1/100 × 100 × 100)m³
1 cm³ = 1 × 10^-6 m³
Therefore,
1 cubic centimetre =1 × 10^-6 cubic metre
PLEASE HELP SOON!!!!
The terminal ray of angle β, drawn in standard position, passes through the point (−7, 2√3).
What is the value of cosβ?
Answers
Answer: -7√61/61
Step-by-step explanation:
I got the answer wrong on my test and this was the correct answer shown.
The cosine of the terminal ray of angle β comes to be -7/√61.
What is the cosine of an angle?The cosine of an angle is the ratio of the adjacent side to the hypotenuse.
By Pythagoras' theorem
Hypotenuse² = 7²+(2√3)²
Hypotenuse =√61
From the diagram attached
[tex]Cos(180-\beta )=\frac{7}{\sqrt{61} }[/tex]
We know [tex]Cos(180-\beta )=-Cos\beta[/tex]
[tex]-Cos\beta =\frac{7}{\sqrt{61} }[/tex]
[tex]Cos\beta =\frac{-7}{\sqrt{61} }[/tex]
So, the value of cosβ =-7/√61.
Hence, The cosine of the terminal ray of angle β comes to be -7/√61.
To get more about cosine visit:
https://brainly.com/question/24349828