9514 1404 393
Answer:
5 ft
Step-by-step explanation:
You are given the area and base lengths of a trapezoid and asked for its height. The formula for the area of a trapezoid is useful.
A = (1/2)(b1 +b2)h
Filling in the given information, you have ...
30 ft² = (1/2)(4 ft +8 ft)h
30 ft² = (6 ft)h . . . . . . . . . . . simplify
h = (30 ft²)/(6 ft) = 5 ft . . . . divide by the coefficient of h
The height of the trapezoid is 5 feet.
Graph this function.
F(x)= -1/3x + 8
I need help ASAP! The -1/3x is a fraction. Can anyone help?
Step-by-step explanation:
Rewrite the function as an equation.
[tex]y = - \frac{x}{3} + 8[/tex]
Rewrite in slope-intercept form.
[tex]y = - \frac{1}{3} x + 8[/tex]
Use the slope-intercept form to find the slope and y-intercept.
Slope : - 1/3
y-intercept: (0,8)
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Graph the line using the slope and the y-intercept, or the points.
At a particular fast food restaurant, tacos cost $1.29 and
burritos cost $2.19. Michael spent a total of $42.93 at the
restaurant to buy food for a party. If he purchased half as
many burritos as tacos, how many tacos did he buy?
Answer:
9 burritos and 18 tacos
Step-by-step explanation:
We can start this problem by assigning a variable to our unknowns.
Let's name x the number of burritos he buys.
The question states he buys half as many burritos as tacos.
Therefore, the number of tacos he bought is 2x.
Let's set up an equation.
(Cost of burrito)(number of burritos)+(Cost of taco)(number of tacos)=Total Cost
2.19x+1.29(2x)=42.93
Simplify
2.19x+2.58x=42.93
4.77x=42.93
x=9
Michael bought 9 burritos.
2*9=18
Michael bought 18 tacos.
Answer:
[tex] \displaystyle 18[/tex]
Step-by-step explanation:
we are given that,
tacos cost $1.29 burritos cost $2.19Michael spent a total of $42.93he purchased half as many burritos as tacoslet the number of tacos and burritos be t and b respectively
according to the 3rd condition we get:
[tex] \displaystyle 1.29t + 2.19b = 42.93[/tex]
according to the 4th condition we obtain:
[tex] \displaystyle t = 2b[/tex]
therefore our system of linear equation is
[tex]\begin{cases}\displaystyle t=2b \\ \displaystyle 1.29t + 2.19b = 42.93\end{cases}[/tex]
so now we end up with a system of linear equation in order to solve the equation we can consider substitution method
so substitute the value of t which yields:
[tex] \displaystyle 1.29 \cdot 2b+ 2.19b = 42.93[/tex]
simplify multiplication:
[tex] \displaystyle 2.58b+ 2.19b = 42.93[/tex]
since we have same variable we can consider the like terms:
[tex] \displaystyle 4.77b = 42.93[/tex]
divide both sides by 4.77:
[tex] \displaystyle \frac{4.77b }{4.77}= \frac{ 42.93}{4.77}[/tex]
reduce fraction:
[tex] \displaystyle \bcancel{ \frac{4.77b }{4.77}}= \cancel \frac{ \stackrel{ \large9}{ 42.93}}{4.77}[/tex]
[tex] \displaystyle b = 9[/tex]
now substitute the value of b:
[tex] \displaystyle t = 2.9[/tex]
simplify multiplication:
[tex] \displaystyle t =18[/tex]
hence,
he bought 18 tacos
A group of friends were working on a student film that had a budget of $640. They spent all their budget on equipment and props. They used 15% of their budget on props. How much money did they spend on equipment?
Help with my assignment please
I couldn’t fit part b in the picture so can you please answer this too
Part B
Write the length of the hypotenuse rounded to
nearest hundredth.
The length of the hypotenuse is
Answer:
the answer ti the first one is B
Step-by-step explanation:
hypotenuse is 12.649
HELP TIMED URGENT PLS
Answer:
3 cm!
Step-by-step explanation:
Volume= length times width times height
90/3=30
30/10=3!
Enter a value of b that will make the expression factorable.
x2^ + bx – 40
Please help I’ll mark you as brainliest if correct
Answer:
It is H
Step-by-step explanation:
Are these triangles similar? If yes, write a similarity statement.
Can anyone help me plz?
Answer:
[tex] y = \frac{1}{4}x + 1 [/tex]
Step-by-step explanation:
Line is passing through the points (0, 1) & (4, 2)
Slope of line = (2 - 1)/(4 - 0) = 1/4
y-intercept (b) = 1
Equation of line in slope-intercept form is given as:
[tex]y = mx + b \\ \\ y = \frac{1}{4}x + 1 [/tex]
Answer:
[tex]y = \frac{1}{4}x + 1[/tex]
Step-by-step explanation:
Slope intercept form allows one to write an equation for a line from only the y-intercept and the slope, so we need to identify those two things.
The slope is simply [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex]=>[tex]\frac{2-1}{4-0}[/tex]=> 1/4
The slope intercept is the y value when x = 0, and since we have the point (0,1), the y-intercept must be 1
The equation is: y = mx + b where m is the slope and b is the intercept so the final equation is:
[tex]y = \frac{1}{4}x + 1[/tex]
Solve for x.
Enter the solutions from least to greatest.
(2x + 4)(3x − 2) = 0
lesser x =
greater x =
Answer:
lesser x = -2, greater x = 2/3
Step-by-step explanation:
(2x+4)= 0 ---> bring 4 to the other side
2x=-4 ----> divide by 2 on both sides
x= -4/2 = -2 ----> simplify
(3x-2)= 0 ----> bring the 2 to the other side
3x=2 ----> divide by three on both sides
x=2/3
hope this helps!
Find the value of x in the triangle below
Answer:
50
Step-by-step explanation:
a triangle's angles add up to 180 degrees.
100-80=100
since two of the sides are the same length, the two angles must also be the same so you just divide 100 by two
100/2=50
A box of 15 cookies cost nine dollars what is the cost for one cookie
Answer:
9:15 = 0.6
answer : 0,6
.............
What is the absolute value of 8.15
Answer:
pretty sure its 8.15
Step-by-step explanation:
The ration of girls to boys is 7:8. If there are 140 girls, how many boys are there?
Answer:
160
Step-by-step explanation:
140 divided by 7 equals 20, then you times the answer by 8, which you get 160.
How many, and what type of solutions, does 6x squared - 2x + 7 = 0 have
Answer:
the correct answer is 2 no real solurions hope this helps
If a dozen dozen candies cost a half-a-dozen dimes a dozen, how much will a half-a-dozen dozen candies cost?
Answer:
74
Step-by-step explanation:
The cost of half-a-dozeon dozen candies for this case will be $3.6
How much a dozen consists of ?A dozen of a thing means 12 of such thing is in consideration. If we say we have a dozen pencils, then twe mean we have 12 pencils.
For this case, it is given that:
Cost of a dozen dozen candies = half a dozen dimes a dozenCost of a half a dozen dozen candies = ? (to find)A dozen contains 12 quantities.
A dozen dozen candies means 12 times 12 = 144 candies
half a dozen dimes dozen cost = (12/2) × 12 dimes = 72 dimes
That means:
144 candies cost 72 dimes.
Dividing both quantities by 144 to get price of 1 candy:
144/144 = 1 candy's price = 72/144 dimes = 0.5 dimes = 0.05 dollars (1 dime = 0.1 dollars)
Half a dozen times dozen candies = 72 candies
1 candy costs 0.05 dollars
72 candies cost [tex]72 \times 0.05 = 3.6[/tex] dollars.
Thus, the cost of half-a-dozeon dozen candies for this case will be $3.6
Learn more about forming equations here:
https://brainly.com/question/11938672
The question is on the problem no links please I will give brainliest
Answer:
54 cm ^ 2, 75.6 cm ^ 2, 129.6 cm ^ 2
Step-by-step explanation:
Equation for a triangle is A = (1/2) * b * h
Area of small triangle on the left: 0.5 * 9 * 12 = 54 cm ^ 2
Area of small triangle on the right: 0.5 * 12.6 * 12 = 75.6 cm ^ 2
Area of entire triangle: 54 + 75.6 = 129.6 cm ^ 2
Sheldon spent $42 on cookies. If each box cost $6, which equation will tell you how many boxes of cookies Sheldon bought?
Answer:
42 multpliy by 6
Step-by-step explanation:
Sheldon bought 7 boxes of cookies if he spent $42 on cookies.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Cost of one box of cookies = $6.
And total amount spent by Sheldon on cookies = $42.
Let Sheldon bough x boxes of cookies.
To find the number of boxes of cookies x,
Use ratio property,
Cost of one box of cookies = $6
Cost of x boxes of cookies = $6x
Total price = 42
6x = 42
x = 7
The required number of boxes of cookies is 7.
To learn more about Ratio on :
https://brainly.com/question/13419413
#SPJ2
The periscope of a submarine is at sea level. The boat captain spots an airplane with
an elevation angle of 30°. The airplane is flying at an altitude of 2000 feet.
The straight line distance between the submarine and the airplane is...
Answer:
The airplane is 100.4 flying at an altitude of 30,000 feet. AB = 210,000 feet. At what angle is the plane descending (the angle of depression)?. Above is a picture of astronauts ...
7 pages·477 KB
The straight line distance between the submarine and the airplane is 4000 feet.
What is trigonometric ratio?Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let d represent the straight line distance between the submarine and the airplane. Hence:
sin(30) = 2000/d
d = 4000 feet
The straight line distance between the submarine and the airplane is 4000 feet.
Find out more on trigonometric ratio at: https://brainly.com/question/24349828
-2y + x +
3
How many terms are in the expression
Answer:3
Step-by-step explanation:
During the Falcons game, Julio Jones ran a straight route 40 yards up the sideline before turning around and catching a pass from Matt Ryan. Defender, Malcolm Butler, who started 20 yards across the field from Jones, saw the play setup and ran horizontally toward the receiver. What was the distance the defender had to run to get to the spot where Jones caught the ball? (PLS DONT GIVE WEBSITE PLS JUST ANSWER)
Answer:
its 20 because he ran 20 from jones
what is 91,360 in expanded form
Answer:
Expanded Notation Form:
91,360 =
90,000
+ 1,000
+ 300
+ 60
+ 0
Expanded Factors Form:
91,360 =
9 × 10,000
+ 1 × 1,000
+ 3 × 100
+ 6 × 10
+ 0 × 1
Expanded Exponential Form:
91,360 =
9 × 104
+ 1 × 103
+ 3 × 102
+ 6 × 101
+ 0 × 100
Word Form:
91,360 =
ninety-one thousand three hundred sixty
Hope this helps! mark me as brainliest if possible, you dont have too!
Step-by-step explanation:
ILL GIVE THE BRAINLIEST pls help me with this question just tell me which one is the right answer you can show your work if you want to you don't have to EVERYTHING IS IN THE PICTURE PLS HELP DUE TODAY
Answer:
second choice is the answer
Step-by-step explanation:
Assume that in a given year the mean mathematics SAT score was 515, and the standard deviation was 116. A sample of 65 scores is chosen. Use the TI-84 Plus calculator. Part 1 of 5 (a) What is the probability that the sample mean score is less than 500
Answer:
His is a normal distribution question with a) x1 = 480 x2 = 520 P(480.0 < x < 520.0)=? This implies that P(480.0 < x < 520.0) = P(-2.4326 < z < 0.3475) = P(Z < 0.3475) - P(Z < -2.4326)
Step-by-step explanation:
A Sample Of 65 Scores Is Chosen. Use The TI-84 Plus Calculator. Part 1 Of 5 (a) What Is The Probability That The Sample Mean Score Is Less Than 5007
The distance that an object falls when it is dropped is directly proportional to the
square of the amount of time since it was dropped. An object falls 288 feet in 3
seconds. Find the distance the object falls in 4 seconds,
Answer:
The object falls 384 feet in 4 seconds.
Step-by-step explanation:
This question can be solved by proportions, as the measures are directly proportional, using a rule of three.
An object falls 288 feet in 3 seconds. Find the distance the object falls in 4 seconds.
288 feet - 3 seconds
x feet - 4 seconds
Applying cross multiplication
[tex]3x = 288*4[/tex]
[tex]x = \frac{288*4}{3}[/tex]
[tex]x = 384[/tex]
The object falls 384 feet in 4 seconds.
50 POINTS!! URGENT !! PLS HELP
Answer:
Option C
Step-by-step explanation:
The two triangles will be similar if the ratio of their corresponding sides are proportional. Let's check this ,
1st side :-
= 8:3
2nd side :-
= 10 : 4 = 5:2
3rd side :-
= 6:5 .
Since the ratio of the sides of triangle are not same therefore that 2 triangles are not similar .
Option C is correct .
the initial deposit into an account?
a. compound interest
b. simple interest
c. interest rate
d. principal
Answer:
B
Step-by-step explanation:
Simple interest is based on the principal amount of a loan or deposit.
Evaluate \frac{1}{4} \times 2 \frac{4}{5}
4
1
×2
5
4
.
Write the answer as a reduced fraction.
Use slash \left(/\right)(/) to separate numerator and denominator.
Answer:
Answer:
bro gave me a virus
Step-by-step explanation:
dont click the link
Find the scale factor used to go from the actual picture to the scale drawing!
Answer:
1/3
Step-by-step explanation:
9:6
3:2
9/3 = 3
6/2 = 3
9 x (1/3) = 3
6 x (1/3) = 2
scale factor is 1/3
What is the area of the school crossing sign represented below?
15 inches 15 inches
15 inches
15 inches
help me plsss