Answer:
(-4;2)
Step-by-step explanation:
1. if y=1/2 x+4, then 2y=x+8; it is possible to re-write as x-2y+8=0;
2. if x+4y=4, it is possible to re-write it as x+4y-4=0;
3. if x-2y+8=0 and x+4y-4=0, then x-2y+8=x+4y-4; ⇒ -2y+8=4y-4; ⇒ 6y=12; ⇔ y=2.
4. if y=2, then it is possible to substitute its value into any equation given in the condition:
x+4y=4 (substitution y=2); ⇒ x+8=4; ⇒ x= -4.
5. finally x= -4; y=2. It means (-4;2)
PS. the suggested solution is not the only way to resolve this task.
Tickets for a concert cost $4.00 for a balcony seat and $7.50 for an orchestra seat. If ticket sales totaled $1,585 for 300 tickets sold, how many more tickets for balcony seats were sold than tickets for orchestra seats? - thanks
Answer:there were 80 more tickets sold for balcony seats than for orchestra seats
Step-by-step explanation:
Step 1
Let number of tIcket for balcony be represented as x
and
Number of tickets for orchestra seat be represented as y such that the total number pf tickets sol;d would be
X+ Y = 300--- equation 1
And the cost for $4.00 for a balcony seat and $7.50 for an orchestra seat totalling ticket sales of $1,585 be represented as
4x + 7.50y = 1585----- equation 2
Step 2
X+ Y = 300--- equation 1
4x + 7.50y = 1585----- equation 2
Multiplying equation 1 by 4 and subtracting from equation2
4x + 7.50y = 1585
-4x+4y= 1200
3.50y =385
y =385/3.50
y=110
To find x, when y=110
X+ Y = 300--- equation 1
x+110=300
x= 300-110= 190 tickets
balcony seats tickets = 190
orchestra seats tickets = 110
Therefore, there were 80 more tickets sold for balcony seats than for orchestra seats
What is 162,810.75 rounded to the nearest whole number?
Answer:
162,811
Step-by-step explanation:
Two angles are complementary. The measurement of ∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘. What are the measures of the two angles?
Answer:
Angle GHI measures 56º, and angle JKL measures 34º.
Step-by-step explanation:
Complementary Angles:
If two angles are complementary, the sum of their measures is 90º.
∠GHI is (5x+6)∘ and ∠JKL measures (3x+4)∘.
Since they are complementary:
[tex]5x + 6 + 3x + 4 = 90[/tex]
[tex]8x + 10 = 90[/tex]
[tex]8x = 90 - 10[/tex]
[tex]8x = 80[/tex]
[tex]x = \frac{80}{8}[/tex]
[tex]x = 10[/tex]
Measures:
GHI: 5*10 + 6 = 50 + 6 = 56º
JKL: 3*10 + 4 = 30 + 4 = 34º.
Angle GHI measures 56º, and angle JKL measures 34º.
The measures of the two angles are 56 and 34 degrees
The sum of complementary angles is 90degrees
Given the measurement:
GHI is (5x+6)∘ and;∠JKL measures (3x+4)Taking the sum and equating to 90 degrees
5x + 6 + 3x + 4 = 90
8x + 10 = 90
8x = 90 - 10
8x = 80
x = 10
∠GHI = 5(10) + 6
∠GHI = 56 degrees
∠JKL = 90 - 56
∠JKL = 34degrees
Hence the measures of the two angles are 56 and 34 degrees
Learn more on complementary angles here: https://brainly.com/question/20728641
Mr. Santor cuts 1/2 of a piece of construction paper. He uses 1/6 of the piece to make a flower. What fraction of the sheet of paper does he use to make the flower?
Answer:
1/12
Step-by-step explanation:
1/2 multiplied by 1/6 equals 1/12
side length z =
angle d =
Answer:
a) side length z = 19.965 ≅ 20m
b) angle 'd' = 53.13°
Step-by-step explanation:
Step(i):-
Given that ∠HIG is a right angle triangle
Given∠I = 53°
By using the sine function
[tex]sin53 = \frac{opposite side}{hypotenuse} =\frac{z}{25}[/tex]
z = 25 × sin53° = 25×0.798635
z = 19.965 ≅20 m
Step(ii):-
[tex]sind = \frac{8}{10} = \frac{4}{5}[/tex]
⇒ [tex]d = sin^{-1} (\frac{4}{5} )[/tex]
⇒ d = 53.13°
Final answer:-
a) side length z = 19.965 ≅ 20m
b) angle 'd' = 53.13°
1) Can a line have a slope of 1.25? Exp
Suppose you have $20 in your bank account. You start saving $5 each week. Your friend has $5 in his account and is saving $10 each
week. Assume that neither you nor your friend makes any withdrawals.
After how many weeks will you and your friend have the same amount of money in your accounts? How much money will each of you
have?
Answer:
The answer is after 3 weeks you will have the same amount of money
Step-by-step explanation:
5x + 20 = 10x +5
5x - 10x = 5 -20
-5x = -15
x = -15/-5
x = 3
can someone please help me?
Answer:
6
Step-by-step explanation:
How do you factor the polynomial 3x^2 + 8x^2 - x - 10 = 0?
Answer:
x = 1 and x = -10/11
Step-by-step explanation:
3x² + 8x² - x - 10 = 0
11x² - x - 10 = 0
(11x + 10)(x - 1) = 0
11x + 10 = 0
11x = -10
x = -10/11
x - 1 = 0
x = 1
Granny Smith is making strawberry jelly. She fills 6.5 ounce jars to give as gifts. Granny was able to fill 9.5 jars. How many ounces of strawberry jelly did Granny Smith make?
In a triangle, the largest angle is always opposite the (Blank) and the smallest angle is always opposite the (Blank) .
Please fill out where i put blank please its due in 29 minutes
Answer:
the largest angle is opposite the largest side and the shortest angle is opposite the shortest side
Step-by-step explanation:
From the property of triangles, we know In a triangle, the largest angle is always opposite the largest side and the smallest angle is always opposite the smallest side.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Triangles' characteristic allows us to know The biggest angle in a triangle is always on the other side of the biggest side, and the smallest angle is always on the other side of the smallest side.
Here are some more properties for triangles,
If a² + b² < c² then it is an acute angle triangle.
If a² + b² = c² then it is a right-angle triangle.
If a² + b² ≥ c² then it is an obtuse angle triangle.
learn more about triangles here :
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45x - 18 factored i really need help
The total cost, in dollars, to order x units of a certain product is modeled by C(x)=5x²+320 . According to the model, for what size order is the cost per unit a minimum?
A) An order of 1 unit has a minimum cost per unit.
B) An order of 8 units has a minimum cost per unit.
C) An order of 80 units has a minimum cost per unit.
D) An order of 320 units has a minimum cost per unit.
Answer:
The minimum cost per unit is obtained for an order of 8 units.
Step-by-step explanation:
Since the total cost is modeled by;
C(x)=5x²+320
Then;
1 unit costs; C(x)=5(1)²+320 = 325
cost per unit 325/1 = 325
8 units costs; C(x)=5(8)²+320 = 640
cost per unit = 640/8 = 80
80 units costs; C(x)=5(80)²+320 = 32320
Cost per unit = 32320/80 = 404
The minimum cost per unit is obtained for an order of 8 units.
1 point
36. Colby put $100 in a savings account. The graph below shows how the amount will increase over the
next ten years. What does the y-intercept represent?
Answer
The amount in Colby's account per yer
Explanation
Refer to the left side of the graph. When looking for the y-intercept's units/other information, always review the left hand side of the graph as that will display the information of the vertical line, known as the y axis, where the y-intercept lies
Jan created a garden that was 8.5 yards long and 5.95 yards wide. What is the difference between the length and width of the garden? please dont take my points, actually answer the question.
Subtract the width from the length.
8.5 - 5.95 = 2.55 yards
Solve equation by using the quadratic formula.
[x^{2} + 4x = -4
a. x = -2
b. x = -4
c. x = -4, x = 4
d. x = 0, x = 4
ill give brainliest
Triangle Sum Theorem CLASSWORK
Answer:
[tex]8x + 32 + 116 = 180 \\ 8x + 148 = 180 \\ 8x = 180 - 148 \\ 8x =32 \\ \boxed{x = 4}[/tex]
4 is the right answer.[tex](7x + 5) + 52 + 67 = 180 \\ 7x + 124 = 180 \\ 7x = 56 \\ \boxed{x = 8}[/tex]
8 is the right answer.Answer & Step-by-step explanation:
5). x = 4
6). x = 8
You can write in the comments if you want an explanation.
Hope this help ;)
Gail baked muffins. She sold 2/7 of the muffins on Monday. She sold 1/3 more of the muffins on Tuesday than on Monday. What fraction of the muffins did Gail sell on the Two days?
Answer:
13/21
Step-by-step explanation:
find common denominator 21
Monday 2/7 = 6/21
Tuesday 1/3 = 7/21
multiply the top by what you did the bottom for the common denominator to get the equivalent fraction
add the two fraction together by keeping the denominator the same
6+7=13
so 13/21
Quadrilateral DEFG is similar to quadrilateral HIJK. Find the measure of side KH.
Round your answer to the nearest tenth.
G
K
13
D
F
7
E
H
J
29.4
I
Answer:
[tex]KH = 55[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find KH
From the attachment:
[tex]GD = 13[/tex] [tex]DE = 7[/tex]
[tex]HI = 29.4[/tex]
To find KH, we make use of the following equivalent ratio:
[tex]GD : DE = KH : HI[/tex]
Substitute values for GD, DE and HI
[tex]13 : 7 = KH : 29.4[/tex]
Convert to fractions
[tex]\frac{13}{7} = \frac{KH}{29.4}[/tex]
Make KH the subject
[tex]KH = \frac{13}{7} * 29.4[/tex]
[tex]KH = \frac{13* 29.4}{7}[/tex]
[tex]KH = \frac{382.2}{7}[/tex]
[tex]KH = 54.6[/tex]
[tex]KH = 55[/tex] --- approximated
A housing developer wants to create 45 house lots for every 10 acres of land. All the house lots will be the
same size and shape. Which of these is closest to the amount of land required to create 105 house lots?
Answer:
25 acres which is one of your choices
Step-by-step explanation:
Need help me please is math.
what does 4f-2f + 3-f= equal
Answer:
f + 3
Step-by-step explanation:
Combine like-terms
4f - 2f - f +3
f + 3
Answer:
4f-2f+3-f
2f-f+3
f+3
f= -3
Step-by-step explanation:
Look at the model below.
375
238
What equation is represented by this model, and what is the
value of c?
OA) C-238 = 375, C = 613
OB) 375 +238 = C, C = 613
Oc) 238 + C = 375, C = 137
OD 238 - C = 375, C = 137
Answer:
C
Step-by-step explanation:
c) 238 +C=375
or, C=375-238
or, C=137 answer
Answer:
The answer is C
Step-by-step explanation:
I got it right
Which words show the best meaning of the underlined word in this paragraph?
Sara was ecstatic when she won the writing contest. She threw her popcorn into the air and danced around the kitchen with her sister after her teacher phoned with the news. She was still smiling hours later.
shocked and surprised
very pleased but worried
very happy or excited
anxious and upset
Answer: very happy or excited
Step-by-step explanation: She is happy that she won and is till excited hours later
Answer:
Very happy or excited
Step-by-step explanation:
If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a 2 or King?
Answer:
0.1538
Step-by-step explanation:
There are 8 cards that are either 2s or Ks.
P(2 or K) = 8/52
P(2 or K) = 0.1538
I need help plss dont lieplss and thank you
Answer:
B or C
hope this helps :)
HHHHHHEEEEEEEELLLLLLLLLLLLLLLLPPPPPPPPPPPPPP MMMMMMMMMMMMMMMEEEEEEEEEEEEEEEEE WILL GIVE BRAINLESSS
Answer: B. The x-Coordinate is Positive and the Y- Coordinate is Negative
Step-by-step explanation: Get a Coordinate Plane Picture with the Coordinates labeled for reference.
Solve: 3 over x - 4 ≥ 0
x ≤ 4
x ≥ -4
x > 4
x < –4
Please help asap
I just guessed the answer is x ≥ 4 so c
Answer:
The last on I think I'm a check and come back
Kaylen mixed two liquids for a science experiment. One container held 7/8 cup and the other held 9/10 cup. What is the total amount of the mixture?
Find a solution to the linear equation y=6x−18 by filling in the boxes with a valid value of x and y.
Answer:
[tex](x,y) = (1,-12)[/tex]
Step-by-step explanation:
Given
[tex]y = 6x - 18[/tex]
Required
Find a solution
To do this, we assume a value for x, then solve for y.
Let x = 1
Substitute 1 for x in [tex]y = 6x - 18[/tex]
[tex]y = 6*1 - 18[/tex]
[tex]y = 6 - 18[/tex]
[tex]y= -12[/tex]
Hence, a solution is:
[tex](x,y) = (1,-12)[/tex]