Step-by-step explanation:
a) 3x + 5y = 8
4x - 3y = 1
• using the elimination method:
3x + 5y = 8 (×4)
4x -3y = 1 (×3)
12x + 20y = 32
12x -9y = 3
subract 12x from both equation:
20y - - 9y= 32 -3
20y +9y = 29
29y= 29
y= 29/29
y= 1
- substituting y= 1 in :
4x - 3y= 1
4x - 3(1) = 1
4x -3 = 1
4x = 1 + 3
x = 4/4
x= 1
b) 6p+ 4q = 20
5p - 2q = 6
• using the elimination method:
6p + 4q = 20
5p - 2q = 6 (×2)
6p + 4q = 20
10p - 4q = 12
add 4q + -4q to eliminate q.
6p+ 10p = 20+12
16p = 32
p = 32/ 16
p = 2
- subtituting p = 2 in :
5p - 2q = 6
5(2) -2q =6
10 -2q = 6
-2q = 6 - 10
q = -4 / -2
q = 2
hope this helps you,
-s.
Answer:
a. x = 1 / y = 1b. p = 2 / q = 2Step-by-step explanation:
a.3x + 5y = 8 ________( 1 )
4x - 3y = 1________ ( 2 )
( 1 ) × 3 ____ 9x + 15y = 24 _____ ( 3 )
( 2 ) × 5____ 20x - 15y = 5 _____ ( 4 )
( 3 ) + ( 4 )
[tex]9x + 15y + 20x - 15y = 24 + 5 \\ 9x + 20x + 15y - 15y = 29 \\ 29x = 29 \\ x = \frac{29}{29} \\ x = 1 \\ [/tex]
x = 1 substitute to ( 1 ) ,
[tex]3x + 5y = 8 \\ 3(1) + 5y = 8 \\ 3 + 5y = 8 \\ 5y = 8 - 3 \\ 5y = 5 \\ y = \frac{5}{5} \\ x = 1 \\ [/tex]
b.6p + 4q = 20_______ ( 1 )
5p – 2q = 6 _______ ( 2 )
( 2 ) × 2 ____ 10p - 4q = 12 _______ ( 3 )
( 1 ) + ( 3 )
[tex]6p + 4q + 10p - 4q = 20 + 12 \\ 6p + 10p + 4q - 4q = 32 \\ 16p = 32 \\ p = \frac{32}{16} \\ p = 2 \\ [/tex]
p = 2 substitute to ( 1 ) ,
[tex]6p + 4q = 20 \\ 6(2) + 4q = 20 \\ 12 + 4q = 20 \\ 4q = 20 - 12 \\ 4q = 8 \\ q = \frac{8}{4} \\ q = 2 \\ [/tex]
Please just answer 14
Answer:
1072
Step-by-step explanation:
the angle is 108, so x10 then minus 8. when theres a letter next to the number it means to multiply it, so get the answer; then multiply it. example:
right angle 10x so 90x10. 900. hope this helps!
3 pts
Question 1
You find a crystal in the shape of a prism. Find the volume of the crystal.
The point Bis directly underneath point E, and the following lengths are known:
• From A to B: 2 mm
• From B to C:3 mm
. From A to F: 6 mm
• From B to E: 10 mm
. From C to D: 7 mm
• From A to G: 4 mm
G
А
B
What is the area of the base? ( 1 point) Explain or show your reasoning. (2 points)
The Volume of crystals is 160 mm³ while the area of the base is 20 mm².
VolumeVolume is the amount of space occupied by a three dimensional shape or object.
Area of triangle = (1/2) * DF * height
Height = 10 - 6 = 4 mm, DF = AC = AB + BC = 2 + 3 = 5 mm
Area of triangle = (1/2) * 5 * 4 = 10 mm²
Volume of triangle prism = Area of triangle * AG = 10 * 4 = 40 mm³
Volume of rectangular prism = A to F * AC * AG = 6 * 5 * 4 = 120 mm³
Volume of crystals = 120 + 40 = 160 mm³
Area of base = AC * AG = 5 * 4 = 20 mm²
The Volume of crystals is 160 mm³ while the area of the base is 20 mm².
Find out more on Volume at: https://brainly.com/question/1972490
1) −6k + 7k 2) 12r − 8 − 12 3) n − 10 + 9n − 3 4) −4x − 10x
Step-by-step explanation:
I assume we are simplifying
1) -6k+7k = k
2) 12r-8-12 = 12r-20
3) n-10+9n-3 = 10n-13
4) -4x-10x = -14x
Hurry! 30 POINTS! What is
A. 20º
B. 70º
C. 90º
D. 180º
A polygon has the following coordinates: A(6,-7) B(1, - 7) , C(1, - 4) , D(3, - 2) , E(7, - 2) , F(7, - 4) . Find the length of overline DE
4 units
Step-by-step explanation:
I did the quiz, hope it helped! <3
What is the percent of change from 8 to 4?
Answer:
50% decease
Step-by-step explanation:
A change from 8 to 4 represents a negative change (decrease) of -50%
Use the formula found below on this webpage to find the percent change by replacing the given values:
Percent = New - Old/Old x 100
Percent = 4-8/8 x 100
Where: 8 is the old value and 4 is the new value. In this case we have a negative change (decrease) of -50 percent because the new value is smaller than the old value.
Hence, 50% decrease
Check Answer:
8 x 50% = 4
8 - 4 = 4
Hence, 50% decrease is the correct answer.
[RevyBreeze]
WILL MARK BRAINLIST AND FOLLOW
8. Read the following double bar graphs and answer the questions.
a. How many Mango ice-creams were sold by Shop A?
b. Which flavor of ice-cream do people like most in shop A?
C. Find the total numbers of Chocolate ice-creams sold by shop A and shop B.
d. Which shop sold 30 coconut ice-creams?
e. Which flavor of ice-cream do people like the most in shop B? Chocolate or Vanilla?
f. Find the total numbers of ice-creams sold by shop B?
g. How many Vanilla ice-creams were sold by Shop A?
h. Which flavor of ice-creams were sold more in shop A than shop B?
Answer:
a) 100
b) Mango
c) Shop A = 90 and Shop B= 80
d) Shop B
e) chocolate
f) 330 ice-creams
g) 30
h) Mango
Your welcome~
pls help me!!!!!!!!!!
Answer:
p(3,3)
Q(6,3)
s(-2,-2)
R(-8,-2)
Which facts are true for the graph of the function below? Check all that apply.
F(x)=(2/5)^x
A. It is decreasing.
B. The range of F(x) is y> 0.
C. The y-intercept is (0,1).
OD. The x-intercept is (1,0).
O E. It is increasing.
O F. The domain of F(x) is x > 0.
Answer:
A, B, and C
Step-by-step explanation:
The solution is, The true statements are F and E.
i.e. F. The x-intercept is (1,0).
E. It is increasing.
What is a log function?The logarithm can be stated as the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x.
here, we have,
We need to graph the log function. F(x) = log6x
Domain: x>0 All real number greater than 0.
Range: All real number.
y-intercept: Put x=0 and solve for y. (Does not exist)
y-intercept: Put y=0 and solve for x. (1,0)
Log function is increasing function.
F is true. (It is increasing)
D is False. (Because Range is all real number)
E is true. (x-intercept (1,0))
A is false. (It is decreasing.)
B is false. (The y-intercept is (0, 6))
C is false. (Domain is x>0)
Hence, F and E are true.
Learn more about log functions, click;
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Find the value of x.
Answer:
x = 117
Step-by-step explanation:
The sum of the interior angles of a pentagon is 180°(5 -2) = 540°. This means ...
x +59 +138 +140 +86 = 540
x +423 = 540 . . . simplify
x = 117 . . . . . . . . subtract 117
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS. Find the area of a rhombus. Each indicated distance is half the length of its respective diagonal.
Answer:
24 square feet
Step-by-step explanation:
There are four "triangles" of the rhombus. If you find the area of each triangle by multiplying the height by the width and dividing by two, you get 6. You then multiply that by 4 to get 24.
some one plsssss help me :)
Answer:
1.6 < x < 9.6
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
5.6 - 4 < x < 5.6 + 4
1.6 < x < 9.6
A farmer sells 9.1 kilograms of pears and apples at the farmer's market.
2
5
of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Express your answer in fraction and decimal form.
Solve on paper. Then check your work on Zearn
Answer:
the kilograms of apples sold is 33/5 and in decimal is 6.6
PLEASE HELP ME Superman can fly on a speed of 20 miles per second Lois Lane is currently 5,000 miles away needs to be saved in exactly 5 minutes will Superman be able to get there in time
Answer:
He will get there in time
Step-by-step explanation:
Superman speed = 20miles per second and there are 60 seconds per minute, so Superman's speed is 1,200 miles per minute
1,200miles/minute * 5 minutes = 6,000 miles
6,000 miles > 5,000 miles so our boi will make it within 5 minutes
im not sure how to work this question out, 3/4 as a decimal so that each pair adds to 1
can you please help me , thank you
help please!! will give brainiest :))
Answer:
81(x + 2y)(x - 2y)
Step-by-step explanation:
[tex]81 {x}^{2} - 324 {y}^{2} \\ \\ = {(9x)}^{2} - {(18y)}^{2} \\ \\ = (9x + 18y)(9x - 18y) \\ \\ = 9(x + 2y) \times 9(x - 2y) \\ \\ = 81(x + 2y)(x - 2y)[/tex]
what's one million and eighty in figures
Answer:
Step-by-step explanation:
Write 1 million first 1 , 000 , 000
Now add the 80 80
Total 1,000,080
It's always a good idea to break a problem down into smaller parts. It's easier to handle that way.
PLEASE HELP LAST QUESTION OF THIS ASSIGNEMT PLEASE HELP
Answer:
for 7 its A, B, E. For 8 its D
Answer:
7) A. (5, 1), B. (5, 7), 8) D. (0, 6)Step-by-step explanation:
#7One vertex is given (5, 4).
The side of the square is 3. So other vertices may have ± 3 difference on either one coordinate.
Possible options are:
A or B#8Point M is 6 units away from the origin.
Possible (x, y) coordinates have the sum of squares equal to 6².
The only correct option is D. (0, 6)
some answer my question
1. A sleeping bag weighs 6 pounds. Your backpack and sleeping bag together weigh 29 pounds. Use x as your variable to write an equation and solve your equation to determine the weight of your backpack without the sleeping bag.
2. Write an inequality to represent the situation and then graph the solution. Upload a picture of your graph including your inequality.
There are at least 7 slices of bread left in the bag. Use p as your variable.
3. Ingrid walked her dog and washed her car. The time she spent walking her dog was one-half the time it took her to wash her car. It took Ingrid 12 minutes to walk the dog. Write and solve an equation to represent how long it took Ingrid to wash her car? Use the variable w to represent how long it took Ingrid to wash her car.
4. The number of eggs in the refrigerator e decreased by 8 equals 18.
Enter an equation to represent the situation.
5. Carmen participated in a read-a-ton. Mr. Cole pledged $5.00 per book and gave Carmen $70. Write and solve an equation to represent how many books did Carmen read?
6. Write an inequality to represent the situation, use g as your variable.
There are fewer than 6 gallons of gas in the tank.
Then, explain to you you would graph the solution (include information about open/closed circle and which way you would shade).
Answer:
I don't have a clue and :3 is your 1st-period teacher named Mrs. SIKE I AINT GONNA EXPOSE MY DEAR TEACHA NAME!!
Step-by-step explanation:
help me fo it its for me homework
Answer:
6
i started with 9 and counted up untell i got to 15
Which expression is equivalent to 2 + 0.22? A. 1.27 B. 0.272 C. 0.21 D. 1.02
Answer:
2.22
Step-by-step explanation:
2 + 0.22
2.22
None of them are equivalent to 2 + 0.22.
[tex]\\ \tt\hookrightarrow 2+0.22[/tex]
[tex]\\ \tt\hookrightarrow 2+22/100[/tex]
[tex]\\ \tt\hookrightarrow 200+22/100[/tex]
[tex]\\ \tt\hookrightarrow 222/100[/tex]
[tex]\\ \tt\hookrightarrow 2.22[/tex]
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS
Answer:
8 m²
Step-by-step explanation:
1/2 × d1 × d2
= 1/2 × 4m × 4m
= 8 m²
find the value of x please help
Answer:
x=37
Step-by-step explanation:
Area of triangle = x+x+x=180
= 78+65+x=180
=143+x=180
=x=180-143 (bring 143 to the otherside)
x=37
In the given figure, We are to find the respective value of x .
Solution :
We know that,
Sum of all the angles of the triangle = 180°
So,
[tex] \qquad \sf \dashrightarrow{ x {}^{ \circ} + 65 ^{ \circ} +78 ^{ \circ} = 180}[/tex]
[tex] \qquad \sf \dashrightarrow{ x ^{ \circ} + 143^{ \circ} = 180^{ \circ}}[/tex]
[tex] \qquad \sf \dashrightarrow{ x ^{ \circ} = 180^{ \circ}} - 143^{ \circ}[/tex]
[tex] \qquad \bf \dashrightarrow{ x ^{ \circ} = 37^{ \circ}}[/tex]
Therefore, The value of x is 37°
what would the shapes equal?
Answer:
♧ = 7♢ = 6♡ = 5♤ = 2Step-by-step explanation:
The second equation tells you ...
♧ = 21/3 = 7
The third equation tells you ...
♢ = 20 -2(7) = 6
Then the first equation tells you ...
♤ = 15 -7 -6 = 2
Finally, the last equation tells you ...
♡ = 13 -6 -2 = 5
Answer
Club = 7
Diamond = 6
Spade = 2
Heart = 5
Step-by-step explanation
Here it shows that 1 club + 1 diamond + 1 spade is equal to 15. Ok, let's get back to that one later.
In the next hint it shows that 3 clubs equals 21. So, in order to get the value of the club, divide 21 by 3, and you'll get 7. This means that 7 is the value of the club.
Now on to the third hint. Here it shows that 1 diamond plus 2 clubs are equal to 20. We already got the value of the club, which is 7, so add 7+7 and you'll get 14. Then, subtract 14 from 20 and you'll get the value of the diamond, which is 6.
Finally, the fourth hint. Here it shows that 1 diamond + 1 heart + 1 spade = 13. So, inorder to get the value of the heart, add the value of the diamond and the spade, which sums up to 8. Then subtract 8 from 13 and you'll get the value of the heart, which is 5.
If anyone minds, can someone answer this and show your work pls.
Answer:
Step-by-step explanation:
y= -5x _
y=-7x-14
—————— (y-y=-5x-(-7x)-14)....
0=-2x-14 => x=-7 => y=-5*(-7)=35
Answer: x = -7 and y = 35
Step-by-step explanation: STEPS USING SUBSTITUTION
y= -5x
y= - 7x - 14
consider the first equation. Add 5x to both sides.
y + 5x = 0
consider the second equation. Add 7x to both sides
y + 7x = -14
to solve a pair of equations using substitution, first solves one of the equations for one of the variables then substitute the result for that variable in the other equation. and so goes on
i need helps with this question ASAP
Answer:
1. At Kohls Mrs. House would pay $45.00 because %25 = $15 so I just subtracted %.60.00-$15.00.
2.((Number × Percent/100)) + Number
((38 × 15/100)) + 38
5.7 + 38
= 43.7
3. I say that Mrs. House should go-to target. And just by $1.30.
At Kohls, the speaker would be at $45.00.
At target, the speaker would be at $43.70.
$45.00 - $43.70 = $1.30
Step-by-step explanation:
is y=150x represent a proportional relationship
Answer:
Yes because everytime y increases by 150 x increases by 1
Step-by-step explanation:
In ΔWXY, the measure of ∠Y=90°, XW = 61, WY = 60, and YX = 11. What ratio represents the sine of ∠W?
Answer:
11/61
Step-by-step explanation:
from trigonometry ratio sin w= Opp/hyp
opp = 11
hyp =61
therefore sin w =11/61
Is (3,7) A solution why or why not?
Answer:
please attach a photo to your question
Volume of 8 and the product of 5 and q increased by 6 yeilds
88
Answer:
It could be either of two ways:
8
x
+
10
or
8
(
x
+
10
)
Explanation:
The wording is a little unclear because this could be done in two ways:
8
x
+
10
or
8
(
x
+
10
)
The first one is "the product of 8 and a number, increased by 10"
The second is "the product of 8, and a number increased by 10"
The one you might write depends on how you say the statement!
In either case, when you read the phrase "a number" in algebra, you make this the variable - whatever letter you prefer (does not have to be
x
!)
Step-by-step explanation:
The verbal statement of the given algebraic expression gives us; 5(q + 6) = 88
How to write Algebraic expressions?
Now, we are told that the product of 5 and q increased by 6 yields 88. Thus, the expression gives us;
5(q + 6) = 88
Therefore we can conclude and say that the verbal statement of the algebraic expression gives us;
5(q + 6) = 88
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