Answer:
x = 4
Step-by-step explanation:
The transversal line is perpendicular to both the parallel lines. So ,
[tex]21x+6=90\\=>21x=90-6=84\\=>x = \frac{84}{21} = 4[/tex]
What is the coordinate of the solution for the following equations? y = 4x – 9 y = -3x + 12
Answer:
x = 60/17, y = 24/17
Step-by-step explanation:
Kari's paper cup holds 6 fluid ounces. If one ounce is equivalent to 29.6 milliliters, how many milliliters does her paper cup hold?
Answer:
Equivalent measurements: teaspoon, ounce, pint, pound
You will find a table of equivalent measurements in the back of many cookbooks:
1 tablespoon = 3 teaspoons
1 cup = 16 tablespoon = 8 ounces
1/4 cup = 4 tablespoons
1/3 cup = 5 tablespoons plus 1 teaspoon
1 pint = 2 cups = 16 ounces
1 quart = 4 cups (2 pints) = 32 ounces
1 gallon = 4 quarts
1 pound = 16 ounces
1/2 pound = 8 ounces
1/4 pound = 4 ounces
Note that a pint is 16 ounces of volume, while a pound is 16 ounces of weight. The popular rhyme "A pint's a pound, the world around" can help you remember this, but keep in mind that they're not really equivalent.
Doubling a recipe can be easy (just put in two of each measurement), but what if you need to divide a recipe in half? Here are some measurements that may help:
Measurement 1/2 Measurement
1/8 teaspoon just a dash
1 tablespoon 1 1/2 teaspoons
1/4 cup 2 tablespoons
1/3 cup 2 tablespoons + 2 teaspoons
3/4 cup 6 tablespoons
Step-by-step explanation:
The height of a painting is 65ft. between which two consecutive whole numbers is 65?
The height of painting lies between 8 and 9 feet.
The square numbers before and after 65 are 64 and 81 respectively. Further, 64 is the square of 8 and 81 is the square 9. This indicates that √65 will lie between the whole numbers 8 and 9. The whole numbers are defined as the numbers who are an integer and do not have fractions.
Since 65 is close to square number 64 rather than square number 81, the square root of 65 should also be close to the whole number 8.
Thus, it is evident that height of the walls lie between two consecutive whole numbers 8 and 9.
Learn more about whole numbers -
https://brainly.com/question/732819
https://brainly.com/question/9879870
#SPJ4
The complete question is -
The height of a painting is √65. Between which two consecutive whole numbers is √65?
9. The Strawberry Festival is finally here! Mrs.
Sullivan bought two gourmet pretzels and four
boxes of strawberries for a total cost of $43. Mr.
Hawke bought two gourmet pretzels and two
boxes of strawberries for $30
a. Write the system to represent the situation.
b. Solve the system (using the method of your
choice) to find how much a box of strawberries
cost.
[tex]\left \{ {{- \atop {2(21.5-2y)+2y=30}} \right.[/tex]Answer:
Step-by-step explanation:
a)
x= gourmet pretzels
y= boxes of strawberries
system will be:
[tex]\left \{ {{2x+4y=43 \atop {2x+2y=30}} \right.[/tex]
b)
[tex]\left \{ {{2x+4y=43 \atop {2x+2y=30}} \right.[/tex] [tex]\left \{ {{x=21.5-2y \atop {2x+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {2(21.5-2y)+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {43-4y+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {-4y+2y=30-43}} \right.[/tex][tex]\left \{ {{- \atop {-2y=-13}} \right.[/tex][tex]\left \{ {{- \atop {y=\frac{13}{2} }} \right.[/tex][tex]\left \{ {x=21.5-2(6.5)}} \atop {y=6.5}} \right.[/tex][tex]\left \{ {{x=8.5} \atop {y=6.5}} \right.[/tex]
a box of strawberries is 6.5
i’ve tried to figure it out && i can’t figure it out,, any help ?
Answer:
y = -4x - 11
Step-by-step explanation:
slope intercept form:
y = mx + b
Find y-intercept with slope of -4 and passes through point (-3, 1):
y = mx + b
1 = -4(-3) + b
1 = 12 + b
b = -11 <======== y-intercept
Equation using the given slope of -4 and y-intercept above:
y = mx + b
y = -4x - 11
What is the direction of the vector = ?
Answer:
The most general convention is that the orientation of a vector is the angle of rotation in the counterclockwise direction of the vector with respect to the East.
Step-by-step explanation:
Answer:
its a smg
Step-by-step explanation:
its a man made tool
Solve the equation. Enter your answer in the box. 42 = y + 15
Answer:
y=27
Step-by-step explanation:
Simplifying
42 = y + 15
Reorder the terms:
42 = 15 + y
Solving
42 = 15 + y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-1y' to each side of the equation.
42 + -1y = 15 + y + -1y
Combine like terms: y + -1y = 0
42 + -1y = 15 + 0
42 + -1y = 15
Add '-42' to each side of the equation.
42 + -42 + -1y = 15 + -42
Combine like terms: 42 + -42 = 0
0 + -1y = 15 + -42
-1y = 15 + -42
Combine like terms: 15 + -42 = -27
-1y = -27
Divide each side by '-1'.
y = 27
Simplifying
y = 27
Answer:
27
Step-by-step explanation:
The number of students in a classroom went from 20 to 29 find the percent of the Change
Answer:
45%
Step-by-step explanation:
calculator
Please help
Simplify the expression by combining like terms
Answer:
[tex] \sf \: {7a}^{2} + 6a + 4 [/tex]
Step-by-step explanation:
Given expression,
→ 1 + 5a + 7a² + a + 3
Let's simplify the expression,
→ 1 + 5a + 7a² + a + 3
→ (7a²) + (5a + a) + (1 + 3)
→ (7a²) + (6a) + (4)
→ 7a² + 6a + 4
Hence, answer is 7a² + 6a + 4.
Round each number to the specified place value.
81.23 (whole number-ones)
13.567 (tenths)
Answer:
81
13.6
Step-by-step explanation:
When rounding 81.23 to the ones place, look at the following spot, the tenths place, to determine whether to round up or down. If the value is 4 or less, round down. If the value is 5 or greater, round up. 2 is less than 4, so round 81.23 to 81.
Since we're looking to round 13.567 to the nearest tenth, look at the value of the number in the hundreths spot. Repeat the same process as above. 6 is greater than 4, so round 13.567 to 13.6.
Line see crosses through both A and B creating angles d through k. If m
Answer:
they are parallel lines with a crossing line creating a 90 degree angle
The line A and line B are parallel to each other and line C is perpendicular to both line A nd B.
What is converse of consecutive interior angle theorem ?
As a result of the converse of consecutive interior angle theorem, two parallel lines are formed whenever a transversal intersects two lines so that two consecutive interior angles are supplementary.
Any pair of angles that lie on opposite sides of two lines cut by a transversal on the same side is known as corresponding angle.
Here, the angle ∠d and angle ∠h are corresponding angles and there measurement is 90 degrees which implies that the line A and line B parallel to each other and line C is perpendicular to both line A nd B.
check and know more about angles here :
https://brainly.com/question/7116550
#SPJ5
Put in order from least to greatest: (I WILL GIVE BRAINLIEST)
-15.2, -15.9, 3.6, -3.6
-15.9, -15.2, -3.6, 3.6
2.03, -2.3, -2.03, 3.0
Leo has already taken 1 page of notes on his own, and he will take 1 page during each hour
of class. In hall, how many hours will Leo have to spend in class before he will have a total of
50 pages of notes in his notebook?
Answer:
49 Hours
Step-by-step explanation:
If it takes him 1 hour to finish 1 page of notes and he already finished 1, he would need to do a total of 49 hours to get 49 more pages done.
Hope this helps!
Finals Help plzzzzzzzzzzzzz
(Will mark Brainliest)
Answer:
because they are clearly the same shap but not the same size
Step-by-step explanation:
def of similar (also what ~ means) Two figures that have the same shape are said to be similar.
Which is more, 49 ounces or 3 pounds?
Answer:
The answer is 49
Step-by-step explanation:
Because 48 oz is 3 pounds but their one more there for.
HELPPPPPPP ITS VERY URGENT!!!!!!
Answer:
The measure of the 2 angles are 90° and 35°.
Step-by-step explanation:
The sum of angles in a triangle is 180°.
2x + x - 10 + 55 = 180
Simplify.
3x + 45 = 180
Find 3x.
3x = 180 - 45
= 135
Find x.
x = 135 ÷ 3
x = 45
2x° = 45° × 2
= 90°
(x-10)° = 45° - 10°
= 35°
Answer: x=45
Step-by-step explanation:
2 times 45 is equal to 90
45-10 is equal to 35
55+90+35=180
Emma goes miniature golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Emma pays for admission and the number of rounds she golfs is $26.25. Which equation can be used to determine the number of rounds, x, that Emma golfs?
Answer:
The equation that can be used to determine the number of rounds that Emma golfs is:
x=(c-7.50)/6.25
Step-by-step explanation:
From the information given, the total amount Emma pays to go miniature golfing is equal to the price of the admission ticket plus the result of multiplying the price per round of golf for the number of rounds and according to this, the equation would be:
c=7.50+6.25x, where:
c is the total cost for Emma to go miniature golfing
x is the number of rounds
Now, you can solve for x to determine the equation that can be used to find the number of rounds that Emma golfs:
x=(c-7.50)/6.25
You can replace c with 26.25:
x=(26.25-7.50)/6.25
x=18.75/6.25
x=3
Find the value of f(8)
Answer:
y= -4
Step-by-step explanation:
Approximate the distance between (-1, -3) and (1, 3) to the nearest tenth
Answer: The distance or d = 6.324555
For:
(X1, Y1) = (-1, -3)
(X2, Y2) = (1, 3)
Step-by-step explanation:
Distance Equation Solution: This picture of the work out problem will show you how you would work it out.
A large deer population lives in Pleasant view. As more and more people move to the city, the deer population is on the decline. Current deer population is 1600. It is declining 12% each year. What is the Equation, and table of values ?
em 2008 lançou o primeiro voto que não sei de quem não sei
Example 3: The following data was collected by a taxi driver who was interested in how much fuel he used on different journeys. Length of journey 100 250 150 180 220 (miles) 300 Fuel Used (liters) 24 59 44 50 59 97 Estimate how much fuel would be needed for a 200-mile journey.
Answer:
For a 200 mile journey, 55.5 liters of fuel
is needed
Step-by-step explanation:
Here, we want to estimate the fuel needed for a 200 mile journey
we can use this by having an average
By adding all and dividing by 6
Mathematically, that will be;
(24 + 59 + 44 + 50 + 59 + 97)/6
= 55.5
The reason for this is because if we added all the lengths and divide by 6, what we get is 200
Thus, if we added the liters of fuel used per each and divide by 6, we can have an estimate for a 200-mile journey
Find the value of the variables
Answer:
x=2
y=7
Step-by-step explanation:
Since we know that the object is a rectangle, we know that the opposite sides are equal to each other. Thus:
9 = y+2
and
2y = 7x
Using algebra we can solve the first equation:
9 = y+2
9-2 = y
7 = y
Now we can use substitution:
2y = 7x
2(7)=7x
14=7x
x=2
I need help on 22 pls
Answer:
a) 1.24 g/ml
b) 2.4%
Step-by-step explanation:
density = mass/volume
volume of sample = 28.4 - 15 = 13.4mL
density = 13.4/10.8
=1.24 g/ml
percent error
1.27 - 1.24 = 0.03
0.03/1.24 *100% = 2.4% error
What is the image point of (1, 2) after a translation right 5 units and up 3 units?
Therefore the image point of (1, 2) is (6, 5)
Given point is (1, 2) considered as (x, y)
We know that in the coordinate axis horizontal line represents the x-axis and the vertical line represents the y-axis.
In that, a point that moves right means it goes positive x-axis.
If the point moves left means it goes negative x-axis.
If the point moves up means it goes positive y-axis.
If the point moves down means it goes negative y-axis.
By using the above points we can solve this question as
Given we need to find the image point of (1, 2) after a translation right 5 units and up 3 units.
Now the point on the x-axis changes to 5 units right as
= x + 5
= 1 + 5
= 6
Now the point on the y-axis changes to 3 units up as
= y + 3
= 2 + 3
= 5
Therefore the image point of (1, 2) is (6, 5).
To learn more about the image of points refer below
https://brainly.com/question/16775321
#SPJ9
A department store sells a pair of shoes with an 87% markup. If the store-bought
the pair of shoes for $55.25, what is the selling price to the nearest dollar?
Answer:
Step-by-step explanation:
55.25x.87=48.07
55.25+48.07=103.32
What does x equal?
-3(x - 2) + x = -2x - 6
Answer:
No solutions
Step-by-step explanation:
-3(x - 2) + x = -2x - 6
Distribute the left side
-3x + 6 + x = -2x - 6
Combine like terms
-2x + 6 = -2x - 6
Add 2x to both sides
6 = -6
There are no solutions to this problem
6(10+z+3)=? HELP IT IS DUE TODAY AND I AM ALMOST DONE!!!!
Answer: 6 (z+13)
Step-by-step explanation:
Answer:
Step-by-step explanation:
10-z=6
We move all terms to the left:
10-z-(6)=0
We add all the numbers together, and all the variables
-1z+4=0
We move all terms containing z to the left, all other terms to the right
-z=-4
z=-4/-1
z=+4
please help. Which number(s) below belong to the solution set of the inequality? Check all that apply. 9x > 117
the arrow like symbol has a line under it
A. 14
B. 8
C. 12
D. 13
E. 19
F. 6
Answer:
A, d and e
Step-by-step explanation:
So take the numbers a multiply them by nine. if they are more than 117, then they are correct, but with D 9x13 is equal to 117 so it is part of the solution set.
Gasoline prices are given to the nearest thousandth of a dollar. If a gallon of gasoline costs $3.499 and increases $0.09, what is the price of gasoline after the increase?
(to the nearest thousandth of a dollar)
write x≤58 in interval notation.
The x ≤ 58 in interval notation = (-∞, 58]
In this question, we have been given an inequality x ≤ 58
We need to write given inequality in interval notation form.
We know that, an interval notation a way to describe a subset of real numbers by the numbers that bound them.
If we draw given inequality on the number line, then it would be as shown below.
x ≤ 58 represents that, x takes all values which are less than or equal to 58.
So, the interval notation would be (-∞, 58]
Therefore, the x ≤ 58 in interval notation = (-∞, 58]
Learn more about the interval notation here:
https://brainly.com/question/16768997
#SPJ1