Answer:
56 (plums)
Step-by-step explanation:
There's 7 days a week, 14 in two weeks, so if Ken eats 4 plums each day, he will eat 14 times that in two weeks.
x = 4 × 14
x = 56
Answer:
56
Step-by-step explanation:
4 plums a day, with 7 days in a week. 4*7=28 plums a week. He eats 4 plums a day for two weeks, so we multiply 28 by 2. 28*2=56.
8. GradPoint question
Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements?
A. The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle.
B. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle.
C. The lengths 14, 24 and 26 can be sides of a right triangle. The lengths 30, 72, and 78 cannot be sides of a right triangle.
D. The lengths 14, 24 and 26 cannot be sides of a right triangle. The lengths 30, 72, and 78 can be sides of a right triangle.
Answer:
I'm sorry but I have no clue. Actually I think it's C.
Step-by-step explanation:
Find the coordinates of the orthocenter of a triangle with the vertices (5,3), (8,6), (0,14) at each set of points on a coordinate plane?
Answer:
coordinates of the orthocenter = (8, 6)
Step-by-step explanation:
I have drawn a diagram showing this triangle with the vertices. I have also drawn altitude from B perpendicular to AC at point E.
I have also drawn altitude from from A perpendicular to BC at point D.
Now, we will find the slope of AC from the line slope equation; (y - y1) = m(x - x1)
m = (y - y1)/(x - x1)
Our coordinates are; A(5,3), B(8,6), C(0,14)
Thus;
Slope of AC; m = (14 - 3)/(0 - 5)
m = -11/5
Since BE is perpendicular to AC, slope of BE = -1/slope of AC = -1/(-11/5) = 5/11
Thus, equation of BE is;
(y - 6) = (5/11)(x - 8)
Multiply through by 11 to get;
11y - 66 = 5x - 40
11y - 5x = 66 - 40
11y - 5x = 26
Slope of BC is; m = (14 - 6)/(0 - 8) = 8/-6 = -1
AD is perpendicular to BC, thus slope of AD = -1/-1 = 1
Equation of AD is;
(y - 3) = 1(x - 5)
y - 3 = x - 5
y = x - 5 + 3
y = x - 2
Putting x - 2 for y in equation of BE, we have;
11(x - 2) - 5x = 26
11x - 22 - 5x = 26
6x - 22 = 26
6x = 26 + 22
6x = 48
x = 48/6
x = 8
Put 8 for x in equation AD, then y = 8 - 2 = 6
coordinates of the orthocenter = (8, 6)
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How can polynomial functions be written when given the zeros?
Answer:
Write it in it’s factored form
Step-by-step explanation:
For more info you can look it up.
Pls help and show workings
Options
A. 14
B. 36
C. 54
D. 90
Answer:
(C). 54°
Step-by-step explanation:
m∠3 + m∠4 = 90°
m∠1 = m∠4 = 2x + 8
(4x - 2)° + (2x + 8)° = 90°
4x - 2 + 2x + 8 = 90
6x + 6 = 90
6x = 84
x = 14
m∠6 = m∠3 = 4(14) - 2 = 54°
h + 13.4 = -13.4
h = ?
please help me and i love you forever ;)
Answer:
x = 45°
y = 90°
Step-by-step explanation:
Angles in a Triangle
The sum of the internal angles in a triangle is 180°.
On the other hand, the tick marks on the triangle tell us it's an isosceles triangle, thus the angle formed at both sides of the triangle is x.
Finally, angle x and 135° are a linear pair that always add up to 180°, thus
x = 180 - 135 = 45
x = 45°
The angle y can be found by completing the measure needed to 180°:
x + x + y = 180
y = 180 - 2x = 180 - 90
y = 90°
Which of the options below show a pair of supplementary angles? Select all that apply.
A) 160°, 20°
B) 120°, 40°
C) 45°, 135°
D) 30°, 120°
Answer:
A and C
Step-by-step explanation:
A) 160 + 20 = 180
B) 120 + 40 = 160
C) 45 + 135 = 180
D) 30 + 120 = 150
All supplementary angles must add up to 180 degrees.
write a similarly statement comparing the two triangles
Answer:
C. ΔBDC+~+ΔEDA
Step-by-step explanation:
Two triangles are said to be similar if their sides and angles are relation in a definite proportion. So that, comparing the triangles (ΔBDC and ΔEDA) in the given diagram;
<B ~ <E
<C ~ <A
D is a common angle to both triangles (right angle).
Also,
BC ~ EA
DC ~ DA
BD ~ ED
Thus, the statement that compares the two triangles is:
ΔBDC+~+ΔEDA (similarity property)
Caleb's phone has a 45% charge. Each minute (t) that passes, the battery charge decreases 3%. Write
an equation to represent the percentage of battery charge after t minutes.
Answer:
f(t) = -.03t + 0.45
Step-by-step explanation:
Aliyah is drawing a ball from one bag and a tile from another bag the first bag contains four green balls and four yellow balls the second bag contains tiles 1 through 5 search
Complete question :
Aliyah is drawing a ball from one bag and a tile from another bag the first bag contains four green balls and four yellow balls the second bag contains tiles 1 through 5 search
What is the probability that she draws a green ball and a tile numbered with 4?
Answer:
1 / 10
Step-by-step explanation:
Given:
Bag content :
Green balls = 4
Yellow balls = 4
Probability = required outcome / Total possible outcomes
P(drawing a green ball) = 4 / 8 = 1/2
Total number of tiles = 5
P(drawing tile numbered 4) = (number of tiles numbered 4 / total number of tiles) = 1 / 5
P(drawing a green ball) * P(drawing tile numbered 4)
= 1 / 2 * 1 /5
= 1 / 10
State all the integer values of x in the interval -2 ≤ x ≤ 4 that satisfy the following inequality 5x+5 ≥3
Answer:
0, 1, 2, 3, 4
Step-by-step explanation:
solving 5x + 5 ≥ 3 we get x ≥ -2/5
all values above, and including, zero are solutions
The box plots shown represent two data sets. Use the box plots to compare the data sets. Drag each value to show if it is the same for both data sets, different for each data set, or if there is not enough information to tell.
Box plots are used to illustrate the five-number summary of a dataset
The minimum values, the lower quartile and the median are the sameThe upper quartile and the interquartile range are differentHow to summarize the data on the box plotsThe five-number summary on a box plot are:
MinimumLower quartileMedianUpper quartileRangeFrom the box plots, we have the following highlights
The minimum values of both box plots are the sameThe lower quartile of both box plots are the sameThe median of both box plots are the sameThe upper quartile of both box plots are differentThe interquartile range of both box plots are differentRead more about boxplots at:
https://brainly.com/question/14277132
What is the solution to the system of equations shown?
y=2x+2
y=4x-2
Step-by-step explanation:
[tex]y = 2x + 2 \\ y = 4x - 2 \\ 2x = y - 2 \\ x = 0.5y - 1 \\ y = 4(0.5y - 1) - 2 \\ y = 2y - 4 - 2 \\ - y = - 6 \\ y = 6 \\ x = 0.5 \times 6 - 1 \\ x = 2[/tex]
In 1989, a baseball card was purchased for $6. Today, the value of the baseball card has increased by 425%. What is the current value of the baseball card?
Answer: $31.50
Step-by-step explanation:
We are told that the price of a baseball card was purchased for $6 but that the value of the baseball card has increased by 425%.
The current value of the baseball card would be:
= $6 + (425% × $6)
= $6 + (425/100 × $6)
= $6 + (4.25 × $6)
= $6 + $25.5
= $31.50
3. The floor of building consists of 2000 tiles which are rhombus shaped and
each of its diagonals are 40 cm and 25 cm in length. Find the total cost of
polishing the floor, if the cost per m2 is Rs/5.
Answer:
Total cost of polishing the floor is Rs/500.
Step-by-step explanation:
The floor consists of 2000 tiles which have the shape of a rhombus.
Area of rhombus = [tex]\frac{d_{1} *d_{2} }{2}[/tex]
Where: [tex]d_{1}[/tex] and [tex]d_{2}[/tex] are the diagonals.
Given that:
[tex]d_{1}[/tex] = 40 cm = 0.4 m
[tex]d_{2}[/tex] = 25 cm = 0.25 m
Then,
Area of each tile = [tex]\frac{0.4*0.25}{2}[/tex]
= [tex]\frac{0.1}{2}[/tex]
= 0.05 [tex]m^{2}[/tex]
Area of each tile is 0.05 [tex]m^{2}[/tex].
Since there are 2000 tiles on the floor of the building, then;
Total area covered by the tiles = 0.05 x 2000
= 100 [tex]m^{2}[/tex]
The total cost of polishing the floor = 100 x Rs/5
= Rs/500
Solve the following quadratic equation for all values of x in simplest form.
Answer:
[tex]x=\sqrt{7},\:x=-\sqrt{7}[/tex]
Step-by-step explanation:
Start by rewriting the equation to standard form [tex]ax^2+bx+c=0[/tex].
[tex]5(x^2-10)+5=-10,\\5x^2-50+5=-10,\\5x^2-35=0[/tex].
Factor out the 5, then isolate [tex]x^2[/tex]:
[tex]5x^2-35=0,\\5(x^2-7)=0,\\x^2-7=0,\\x^2=7,\\x=\pm \sqrt{7}.[/tex].
Therefore, the solutions to this quadratic are:
[tex]x=\sqrt{7},\:x=-\sqrt{7}[/tex]
7w + 3 + 2w + 9 simplified
The answer is 9w + 12
hope this helps!
Answer:
9w + 12
Step-by-step explanation:
First, add the 7w and the 2w
7w + 2w = 9w
Second, add 3 and 9
3 + 9 = 12
Last, add the two together
9w + 12 =
Hope this helps!
If a = -5 and b = 5x + 5i, then find the value of a’b in fully simplified form.
Answer:
b is 5
Step-by-step explanation:
What does 50 time (*) 8 give you?
Answer:
400
Step-by-step explanation:
Answer:
400
Step-by-step explanation:
5 times 8 = 40
40 times 10 (since it was 50 not 5) = 400
PLEASE HELP!!!!!!!
Points A and C are vertices of a cube with a side length of 2 cm, and B is the point of the intersection of the diagonals of one face of the cube, as shown below.
Determine the length of CB.
9514 1404 393
Answer:
CB = √6 cm
Step-by-step explanation:
The diagonal of a square is √2 times the edge length, so the length AB will be (1/2)√2(2 cm) = √2 cm.
Then the length CB is given by the Pythagorean theorem as ...
CB = √(AC^2 +AB^2) = √((2 cm)^2 + (√2 cm)^2) = √(4 +2) cm
CB = √6 cm
Rodrigo is buying snacks for a party he bought 2 1/5 pounds of mixed nuts
Answer:
She spends about 12.45 on the nuts.
Step-by-step explanation:
2/3(7.50)+1/2(2.40)+1 1/4(5.00)
Answer:
4.75
Step-by-step explanation:
2 1/5= 11/5= 2.2 pounds
10.45 / 2.2 = $4.75
1.Ms. Bowery bought five shirts and one pair of pants for a total of $56.23. Each shirt cost
the same price. The pants cost $7 more than a shirt. How much did each shirt cost? Round to
the nearest dollar and cent
A) $9.20
B) $49.26
C) $8.20
D) $10.20
Answer:
[tex]\mathrm{C)\:} \$8.20[/tex]
Step-by-step explanation:
Let [tex]s[/tex] represent the cost of each shirt in dollars. We can write the cost of the pants as [tex]s+7[/tex]. Using these terms, set up the following equation:
[tex]5s+(s+7)=56.23[/tex].
Solving, we get:
[tex]5s+s+7=56.23,\\6s=56.23,\\6s=49.23\\s\approx \fbox{$\$8.20$}[/tex]
helpppp plzzzzzzzzzzzzzzz
Answer:
y= 0.2(0.05)^x
An object is accelerating at a constant rate from 8.0 m/s to 16.0 m/s in 10.0 seconds. How far in meters does the object travel in 10.0 seconds?
Step-by-step explanation:
Answer is 120 m
Extremely sorry for delay.
Here is explanation in given attachment
Consider I(p) = p(50 - p) , which gives the expected income in dollars from a bungee jump attraction when the ticket price is p dollars. What is I(20)?
Answer:
I(20) is 600 dollars
Step-by-step explanation:
From the given function, I(p) = p(50 - p)
Where I is the income in dollars and p is price dollars.
To determine I(20), that is, to determine the income in dollars when the ticket price is 20 dollars.
From
I(p) = p(50 - p)
When p = 20
Then,
I(20) = 20(50 - 20)
I(20) = 20(30)
I(20) = 20 × 30
I(20) = 600
Hence, I(20) is 600 dollars
That is, the income is 600 dollars when the ticket price is 20 dollars.
I NEED THIS RN PLEASE
Answer:
The answer is C, 3 to 2
Step-by-step explanation:
This is because 12 divided by 4 is 3 and 8 divided by 4 is 2 so yhe ratio is 3 to 2. Hope it helps.
How can you diffrentiate "less" and "less than"? Can these terms be used in mathematics? How?
I need help it really hard
Answer:
ΔPQR and ΔSTU are not similar.
Step-by-step explanation:
The two triangles look distinguishable from each other.
10+x=21 ?
What’s the answer
Answer:
x=11
Step-by-step explanation:
first you flip the X and the 10, then subtract the 10 on both sides and you should be left with x=11