A car service charges a fixed fee of $3 plus $2 for each mile. Find the cost of a 7-mile ride. Let x=the number of miles.
geometry proof help please
What is the solution to the system of equations?
y = x + 3
x = –2
i don't understand what i'm supposed to do i wrote down the given but what's next i don't understand geometry
△JKL≅△QRS.
What is m∠Q?
we know that
If △JKL≅△QRS
then
the corresponding angles are congruent
so
m∠Q=m∠J
m∠R=m∠K
m∠S=m∠L
we have
m∠J=[tex]37\°[/tex]
therefore
the answer is
m∠Q=[tex]37\°[/tex]
Answer:
m∠Q = 37°
Step-by-step explanation:
It has been given that ΔJKL ≅ ΔQRS
∠J = 37° and ∠K = 105°
Since these triangles are congruent so we will apply the condition of ASA (theorem of congruence)
In ΔJKL and ΔQRS sides JK and QR along with their corresponding angles will be equal.
Side JK = side QR
and ∠K = ∠R = 105°
∠J = ∠Q = 37°
Therefore m∠Q = 37° will be the answer.
This may make me look dumb but idk what to do. I need answers please
a=11+4b−4c?
A.c=a−4b−11
-------------
−4
B.c=a+b−11
------------
−4
C.c=a+4b+11
--------------
−4
D.c=a−b+11
------------
−4
At a baseball game, a vender sold a combined total of 112 sodas and hot dogs. the number of sodas sold was three times the number of hot dogs sold. find the number of sodas and the number of hot dogs sold.
If y varies directly as x and y is 18 when x is 5 which expression can be used to find the value of y when x is 11?
Answer:
The value of y is [tex]\frac{198}{5}[/tex] or 39.6.
Step-by-step explanation:
It is given that y varies directly as x and y. It means y is directly proportional to x.
[tex]y\propto x[/tex]
[tex]y=kx[/tex] .... (1)
where, k is constant of proportionality.
It is given that y is 18 when x is 5.
Substitute y=18 and x=5 in equation (1).
[tex]18=k(5)[/tex]
Divide both sides by 5.
[tex]\frac{18}{5}=k[/tex]
The value of k is [tex]\frac{18}{5}[/tex]. So, the relation between x and y is
[tex]y=\frac{18}{5}x[/tex] .... (2)
We need to find the value of y when x=11.
[tex]y=\frac{18}{5}(11)[/tex]
[tex]y=\frac{198}{5}[/tex]
[tex]y=39.6[/tex]
Therefore the value of y is [tex]\frac{198}{5}[/tex] or 39.6.
if you cross multiply 10 over 2.4=15 over x
5(x+2)7x+4 plz help idk what to do
Which is an equivalent form of the equation 4x-y= 14
Answer:
y = 4x - 14 is equivalent from of y = 4x - 14.
Step-by-step explanation:
Given : 4x-y= 14
To find : Which is an equivalent form of the equation.
Solution : We have given 4x - y = 14.
We can write it in slope intercept form y = mx + b
Where, m = slope , b = y intercept.
4x - y = 14.
On subtracting both sides by 4x
- y= -4x + 14.
On dividing both sides by -1.
y = 4x - 14.
Therefore, y = 4x - 14 is equivalent from of y = 4x - 14.
how to find the factor of a trinomial?
Write a function rule for the area of a rectangle whose length is 6 ft more than its width. What is the area of the rectangle when its width is 12 ft?
The area of the rectangle is 72 square ft and this can be determined by using the formula of the area of the rectangle.
Given :
Length is 6 ft more than its width.
The following steps can be used in order to determine the area of the rectangle when its width is 12 ft:
Step 1 - Let the length of the rectangle be 'L' and the width of the rectangle be 'W'.
Step 2 - According to the given data, length is 6 ft more than its width that is:
L = 6 + W
Step 3 - The formula of the area of the rectangle is given below:
A = LW
Step 4 - Substitute the value of 'L' in the above expression.
A = (6 + W)W
Step 5 - Now, at W = 6ft the area of the rectangle becomes:
A = (6 + 6)6
A = 72 square ft.
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What is the reference angle for a 240° angle
The reference angle for a 240° angle is 60 degree.
What is a Reference Angle?Reference Angle is the acute angle between the terminal side and the x axis. The value of reference angle is always positive and less than 90 degree.
The angle is 240 degree, for which the reference angle has to be determined.
The angle 240 degree lies in the third quadrant between 180 and 270 degree.
To determine the reference angle, the given angle will be subtracted by 180 degree.
=> 240 - 180
=> 60 degree
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15 coins worth $3.15. if the coins are all quarters and dimes, how many quarters and dimes does she have?
Help solve x for this
134 = 14 +6x
subtract 14 from each side
120 = 6x
divide each side by 6
x = 120/6 = 20
x = 20
ANGLE GOF = (360 - (134+134)) /2 = 92/2 = 46 degrees
angle efg and angle gfh are a linear pair, the measure of angle efg equals 4n+20, and measure of angle gfh equals 3n+13. what are the measures of angle efg and angle gfh?
Answer:
∠EFG=104° and ∠GFH=76°
Step-by-step explanation:
Given information:∠EFG = (4n+20)°, ∠GFH = (3n+13)° and ∠EFG and ∠GFH are a linear pair.
If two angles are a linear pair, then the sum of those angles is 180°.
It is given that ∠EFG and ∠GFH are a linear pair.
[tex]\angle EFG+\angle GFH=180^{\circ}[/tex]
Substitute the given values.
[tex](4n+20)+(3n+13)=180[/tex]
Combined like terms.
[tex](4n+3n)+(20+13)=180[/tex]
[tex]7n+33=180[/tex]
Subtract 33 from both sides.
[tex]7n+33-33=180-33[/tex]
[tex]7n=147[/tex]
Divide both sides by 7.
[tex]n=21[/tex]
The value of n is 21.
[tex]\angle EFG=4n+20=4(21)+20=104^{\circ}[/tex]
[tex]\angle GFH=3n+13=3(21)+13=76^{\circ}[/tex]
Therefore, the measure of ∠EFG and ∠GFH are 104° and 76° respectively.
Reaner Recycling shreds 7/8 ton of aluminum each day.The machines can shred 1/24 ton aluminum per cycle.How many cycles will be needed to shred the aluminum?
plz help I don't get it
Answer:
21.
Step-by-step explanation:
We have been given that Reaner Recycling shreds 7/8 ton of aluminum each day.The machines can shred 1/24 ton aluminum per cycle.
To find the number of cycles needed to shred the aluminum, we will divide amount of aluminium by 1/24 as:
[tex]\text{Number of cycles}=\frac{7}{8}\div \frac{1}{24}[/tex]
Convert into multiplication problem by flipping the 2nd fraction:
[tex]\text{Number of cycles}=\frac{7}{8}\times \frac{24}{1}[/tex]
[tex]\text{Number of cycles}=\frac{7}{1}\times \frac{3}{1}[/tex]
[tex]\text{Number of cycles}=7\times 3[/tex]
[tex]\text{Number of cycles}=21[/tex]
Therefore, 21 cycles will be needed to shred the aluminum.
Determine algebraically whether the function is even, odd, or neither even nor odd.
f(x)=x+ [tex] \frac{4}{x} [/tex]
a))Even
b))Neither
c))Odd
what is the value of the digit 7 in 43782
The value of the digit '7' in the number 43782 is 7000, because it's at the thousands place.
Explanation:In the number 43782, the value of the digit 7 is determined by its place in the number. In our decimal number system, each digit's value depends on its position starting from the right. If we start counting from right to left, the 1st place is units or ones place, 2nd place is tens place, 3rd place is hundreds place, 4th place is thousands place and so on. Here, the number '7' is located in the thousandth place. Therefore, the value of the digit 7 in 43782 is 7000.
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Help please!
Victoria is 4 years older than her neighbor. The sum of their ages is no more than 14 years.
Enter an inequality that can be used to represent this situation in the box, where x represents Victoria's neighbor's age.
Is the value a an improper fraction less than 1 or greater than 1
f(x)=x+7
if you know the domain is {-9,-3} then the range must be?
What is the equation of the line in slope-intercept form?
What is the value of c such that: x2 + 14x + c, is a perfect-square trinomial? A. 7 B. 98 C. 196 D. 49
The length of one base of a trapezoid is 19 less than five times the length of the other base. If the trapezoid has a height of 18 feet and an area of 477 ft squared, find the length of the longer base.
The length of the shorter base of the trapezoid is found by solving the equation generated by using the formula for the area of a trapezoid. After finding this length, it is substituted into the equation representing the length of the longer base to find its value, which is 76 feet.
Explanation:To solve this problem, let's denote the length of the shorter base of the trapezoid as 'a'. According to the problem, the length of the longer base is then 5a - 19. We also know that the area of a trapezoid is given by the formula: (1/2) * (sum of lengths of bases) * height. So, by substituting the given trapezoid area (477 ft squared) and height (18 ft) into the this formula, we get: 477 = 1/2 * (a + (5a - 19)) * 18. Solving this equation will give us the value of 'a'. As calculating 'a' we find it to be 19. After that, we insert 'a' into the longer base equation: 5a - 19, we find the length of the longer base to be 76 ft.
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18 POINTS PLUS BRAINLIEST FOR CORRECT ANSWER
Find the equation of the line perpendicular to y=−2 that passes through the point (4, −2).
If 6 people in the United States each eat the average amount of popcorn for 5 years, how many quarts of popcorn will they eat.
A rectangular room is three times as long as it is wide, and its perimeter is 48 meters. Find the length of the room.