IL Directions: Encircle the letter of the correct answer.
1. When you add the decimal numbers 0.25, 0.033 and 1.78 the result is ?
A. 0.263
B. 0.0263
C. 2.063
D.2.2063
2. What is the difference when 43.67 is subtracted from 125.5?
A. 81.83
B. 81.17
C. 81.87
D. 81.57
3. Valerie, Gianna and Candice went to school clinic to find out their weights. Valerie's weight is 28.58
kilograms, Gianna's weight is 30.55 kilograms and Candice's weight is 25.48 kilograms. What is the total
weight of the three pupils?
A. 84.61 kilograms B. 84.16 kilograms C. 59.13 kilograms D. 54.06 kilograms
4. Keziah spent P24.85 for sandwich and P11.20 for juice. How much change did he receive if she gave the
vendor P100?
A. P 63.05
B. P 63.95
CP 73.05
D.P 73.95
5. At 6:00 in the morning, the temperature was 23.8 °C. At 12:00 noon, the temperature rose by 5.7°C. What
was the temperature at 12:00 noon?
A. 29.5 °C
B. 18.1 °C
C. 33.5 °C
D. 35.5 °C
Answers
Answer:
The answers are as follows:
1 . Option C: 2.063
2. Option A: 81.83
3. Option A: 84.61 kilograms
4. Option B: P63.95
5. Option A: 29.5°C
Step-by-step explanation:
Lets look at the questions one by one.
1. When you add the decimal numbers 0.25, 0.033 and 1.78 the result is ?
The question simply requires adding the three quantities.
The result is 2.063
Hence, Option C is correct.
2. What is the difference when 43.67 is subtracted from 125.5?
Subtracting 43.67 from 125.5, we get
125.5 - 43.67 = 81.83
Hence,
Option A is correct
3. Valerie, Gianna and Candice went to school clinic to find out their weights. Valerie's weight is 28.58 kilograms, Gianna's weight is 30.55 kilograms and Candice's weight is 25.48 kilograms. What is the total weight of the three pupils?
Adding all the weights
28.58+30.55+25.48 = 84.61
Hence, Option A is correct.
4. Keziah spent P24.85 for sandwich and P11.20 for juice. How much change did he receive if she gave the vendor P100?
For this first we have to calculate the total cost
24.85+11.20 = 36.05
Now to find the change he will get
Subtracting total expense from 100
100-36.05 = 63.95
Hence, Option B is the correct answer.
5. At 6:00 in the morning, the temperature was 23.8 °C. At 12:00 noon, the temperature rose by 5.7°C. What was the temperature at 12:00 noon?
The sum of temperature at 6:00 and the rise will tell us the temperature at 12:00
So,
23.8+5.7 = 29.5
Hence,
Option A is correct
The answers are as follows:
1 . Option C: 2.063
2. Option A: 81.83
3. Option A: 84.61 kilograms
4. Option B: P63.95
5. Option A: 29.5°C
Related Questions
indicate in standard form the equation of the line passing through the given points, in the equation box below. X(0, 6), Y(5, 6)
Answers
Answer:
0x + y = 6
Step-by-step explanation:
Equation of the Line
The equation of a line passing through points (x1,y1) and (x2,y2) can be written as follows:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
It can be later converted to any other form of the line. For example, the standard form is:
[tex]Ax + By = C[/tex]
Let's find the equation by using the given points (0,6) (5,6):
[tex]\displaystyle y-6=\frac{6-6}{5-0}(x-0)[/tex]
Operating:
[tex]\displaystyle y-6=\frac{0}{5-0}(x-0)[/tex]
y - 6 = 0
Or, equivalently:
0x + y = 6
This corresponds to a horizontal line
Helpppppppppppppp
asappppppppppp
Answers
Answer:
180-112=68
Step-by-step explanation:
Give the values of the coefficients [a], [b], and [c], regarding the product in the form of ax^2-bx + xy - cy. Use "0" if the term isn't present.
Answers
Answer:
[tex]x^{2} -6x+xy-6y[/tex]
Step-by-step explanation:
Answer:
The values of coefficients a, b and c are
a=1
b=6
c=6
Step-by-step explanation:
We need to give the values of coefficients [a],[b] and [c] regarding the product in the form of [tex]ax^2-bx + xy - cy[/tex]
The term given is: [tex](x+y)(x-6)[/tex]
First we will multiply the terms
[tex](x+y)(x-6)\\=x(x-6)+y(x-6)\\=x^2-6x+yx-6y[/tex]
Now comparing the product [tex]x^2-6x+yx-6y[/tex] with the given form [tex]ax^2-bx + xy - cy[/tex]
The values of coefficients a, b and c are
a=1
b=6
c=6
Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students in the class, 5 want a ice cream party, 7 want a movie, 10 want a costume party, and the rest want are undecided. If 20% want a ice cream party, how many students are in class?
Answers
Answer:
25
Step-by-step explanation:
A tree is 72 feet (ft) tall. How many inches (in) is this? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation.
Answers
1 foot = 12 inches:
1/72 = 12/x
Cross multiply:
1x = 72 * 12
x = 864 inches
What is 8.15 rounded to the nearest whole number
Answers
Answer:
the answer is 8.
Step-by-step explanation:
Brainliest? uwu
Answer:
8 :)
You round down. If it was 8.5 then you'd round up, anything below would be rounded down, for example, 8.4, 8.3, 8.2, 8.1.
#12: Kara is deciding between The Lyme Point Inn and Ever After Farms for 1 point
her wedding reception. The Lyme Point Inn charges $3,000 for the venue
and $100 for each meal. Ever After Farm charges $5,400 for the venue and
$70 for each meal. Write and solve an equation to find the number of
meals at which the total cost charged by the two venues would be the
same. *
Your answer
ooo
Answers
Answer:
80 meals
Step-by-step explanation:
Set up an equation where x is the number of meals:
100x + 3000 = 70x + 5400
Solve for x:
100x + 3000 = 70x + 5400
30x + 3000 = 5400
30x = 2400
x = 80
So, at 80 meals, the cost of the 2 venues will be the same
Answer:
80 metals
Step-by-step explanation:
100x + 3000 = 70x + 5400
How to Solve for x:
100x + 3000 = 70x + 5400
30x + 3000 = 5400
30x = 2400
x = 80
So, at 80 meals, the cost of the 2 venues will be the exact same
Find the values of a and b such that x² - 2x + 2 = ( x - a )² + b
Answers
Answer:
a = b = 1
Step-by-step explanation:
x² - 2x + 2 = ( x - a )² + b
x² - 2x + 2 = ( x² - 2x + 1) - 1 + 2 = (x - 1)² + 1
a = b = 1
Write the slope-intercept form of the equation of the line described. through (2, -5) perpendicular to y = 1/3x -1
Answers
Answer:
y = -3x + 1
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes, so the slope will be -3.
Plug in the slope and given point into y = mx + b
y = mx + b
-5 = -3(2) + b
-5 = -6 + b
1 = b
Then, plug in the slope and y intercept into y = mx + b again:
y = -3x + 1 will be the equation of the line
Which of the following is not a reason used in this proof?
A) Definition of perpendicular
B) Vertical angles are equal
C) Reflexive
Answers
Answer:
Reflexive
Step-by-step explanation:
Because C and D are right angles. That’s def of perpendicular. I’m not sure about the vertical angles but it’s shown in the proof
Answer:
Reflexive
Step-by-step explanation:
Please help I’ll mark brainliest if u give a small explanation
Answers
The trapezoids are similar shapes. Find the lengths
Answers
Y = 10.8
All I did is divide 30 by 50 which is .6 then I multiple by 18 which is 10.8 for y. Then 15 divided by .6 equals to 25
Question 5 of 8
Put these substances in order of density with the most dense first and the
least dense last.
1 iron
Trubber
cotton ball
Ti helium
Answers
Answer:
cf
cf
centru. toc htc. toc cf. activ. cfc fgfvxv. chvv
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
PLSSSS HELPPP I WILLL GIVEEE BRAINLIESTTTT!!!!!!!!!!!!!!!!!
If f(x) = -3x + 4, find f(-4)
Answers
Answer:
Step-by-step explanation:
-3x+4
-3(-4)+4
12+4
16
Answer:
3x+4
3(-4)+4
12+4
16
Step-by-step explanation:
Here is a rectangle ABCD. The length of the rectangle is increased by 10%. The width of the rectangle is increased by 5%. Find the percentage increased in the perimeter of tge rectangle.
Answers
Answer: Width would become 21 and length would become 33. Original perimeter is 100, increased perimeter is 108 which is a 7.69% increase
Q14.
Solve the simultaneous equations
2x - 3y = 24
6x + 2y = -5
landimorament
Answers
2y=-5-6x
-y=8-2/3x y=-8+2/3x
y=-5/2-3x
-8+2/3x=-5/2-3x
-8+5/2=-3x-2/3x
-11/2= -11/3x
x=3/2
hope it helps!!!
Write equations (both, Point Slope & Slope Intercept Forms) of the line with
slope of -2 and point (9,2).
Answers
Answer:
Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]
Equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]
Step-by-step explanation:
We need to write equation of line having slope -2 and point (9,2)
a) Equation in Point Slope Form
The general equation of point slope form is: [tex]y-y_1=m(x-x_1)[/tex]
Where x₁ and y₁ are the points of line and m is slope.
x₁=9 and y₁=2 and m=-2
Putting values in formula and finding equation:
[tex]y-y_1=m(x-x_1)\\y-2=-2(x-9)[/tex]
So, Equation of line in Point Slope Form is [tex]\mathbf{y-2=-2(x-9)}[/tex]
b) Equation in Slope Intercept Form
The general equation of Slope Intercept Form is: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept
Finding y-intercept using slope m=-2 and point(9,2)
[tex]y=mx+b\\2=-2(9)+b\\2=-18+b\\b=2+18\\b=20[/tex]
The equation in slope m=-2 and b=20 is:
[tex]y=mx+b\\y=-2x+20[/tex]
So, equation of line in Slope Intercept Form is: [tex]\mathbf{y=-2x+20}[/tex]
help me please somone
Answers
Answer:
Iscoccecles
Sorry if i spelled it wrong.
Step-by-step explanation:
2. Graph x < 8 and x > -1.
Answers
Answer:
I'll try my best in explaining the steps.
Considering both signs are greater than and less than sign, its an open circle.
For the first equation, you would have an open circle, basically one that isn't colored in, on 8 on the number line. The arrow would be pointing to the left because the equation is telling us numbers that are less than 8.
For the second equation, you would have an open circle, basically one that isn't colored in, on -1 on the number line. The arrow would be pointing to the right because the equation is telling us numbers that are greater than -1.
Step-by-step explanation:
find area of triangle formed by (1,1) (2,3) (4 ,5) using heron's formula
Answers
Answer:
The area of a triangle is:
A = 1 unit²Step-by-step explanation:
Given the points of a triangle
A(1, 1)
B(2, 3)
C(4, 5)
[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
Distance between AB:
[tex]AB=\sqrt{\left(2-1\right)^2+\left(3-1\right)^2}[/tex]
[tex]=\sqrt{1+4}[/tex]
[tex]=\sqrt{5}[/tex]
so
[tex]a=\sqrt{5}[/tex]Distance between BC:
[tex]BC=\sqrt{\left(4-2\right)^2+\left(5-3\right)^2}[/tex]
[tex]=\sqrt{2^2+2^2}[/tex]
[tex]=\sqrt{2^3}[/tex]
[tex]=2\sqrt{2}[/tex]
so
[tex]b=2\sqrt{2}[/tex]Distance between AC:
[tex]AC=\sqrt{\left(4-1\right)^2+\left(5-1\right)^2}[/tex]
[tex]=\sqrt{3^2+4^2}[/tex]
[tex]=\sqrt{5^2}[/tex]
[tex]=5[/tex]
so
[tex]c=5[/tex]Semiperimeter = sum of sides ÷ 2
[tex]s=\frac{\sqrt{5}+2\sqrt{2}+5}{2}=5.03224[/tex]
Area of the triangle:
[tex]A=\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}[/tex]
[tex]a=\sqrt{5}[/tex][tex]b=2\sqrt{2}[/tex][tex]c=5[/tex][tex]A=\sqrt{s\left(s-\sqrt{5}\right)\left(s-2\sqrt{2}\right)\left(s-5\right)}[/tex]
[tex]A=\sqrt{5.03224\dots \left(5.03224\dots -\sqrt{5}\right)\left(5.03224\dots -2\sqrt{2}\right)\left(5.03224\dots -5\right)}[/tex]
[tex]A=1[/tex]
Therefore, the area of a triangle is:
A = 1 unit²The length of a rectangle is twice the width if the perimeter of the rectangle 60 units find the area of the rectangle
Answers
Answer:
200
Step-by-step explanation:
Length = 2w
2w + 2l = 60
substitute l out with 2w
2w + 2(2w) = 60
2w + 4w = 60
w = 10
l = 20
Area = w • l
= 10 • 20
= 200
5 yds=? Ft (PLEASE HELPP!!!)
Answers
Answer:
5 yards = 15 feet
Step-by-step explanation:
Following the formula that for every 1 yard we have 3 feet.
x = amount of yards
y = amount of feet per yard
z = amount of feet total
[tex]x * y = z[/tex]
Substitute:
[tex]5 * 3 = z[/tex]
[tex]15 =z[/tex]
Final answer:
5 yards = 15 feet
State the number of complex roots and the possible number of real and imaginary roots for each equation. The find all roots? If possible.
Answers
Answer:
x =2
x = -2
Step-by-step explanation:
(x - 2)(x + 2)(x^2 + 4) = 0
(x - 2) = 0
x = 0 + 2
x = 2
(x + 2) = 0
x = - 2
x = - 2
(x^2 + 4) = 0
x^2 = 4
x = [tex]\sqrt{4}[/tex]
x = 2
Which word describes the slope of the line?
positive
negative
zero
undefined
Answers
Answer:
Negative
Step-by-step explanation:
the slope in this equation is negetive as it is pointing in a downwards position.
Zero would be horizontal, undefined would be vertical and positive would be going in an upwards motion
Answer:
b
Step-by-step explanation:
aye
(I'LL BE GIVING BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME!! :D)
Petra eats five and three fifths pies in a pie-eating contest. Paulie eats three and fourteen sixteenths pies in the contest. How many more pies did Petra eat?
A) one and fifty eight eightieths pies
B) one and seventeen twenty firsts pies
C) two and fifty eight eightieths pies
D) two and seventeen twenty firsts pies
(Here is an image if needed) :
Answers
Answer:
2 7/20
Step-by-step explanation:
yler's brother earns $12 per hour. The store offers him a raise— a 5% increase per hour. after the raise,how much will tyler make per hour
Answers
Answer:
$12.60
Step-by-step explanation:
12/100 × 12 = 0.60
12 + 0.60 = 12.60
The diagram compares the ratio of girls in the chorus to boys in the chorus. What is the ratio of girls to boys? If there are 30 students in the chorus, how many are girls and how many are boys.
girls 3 parts
boys 2 parts
Answers
Answer:
it should be girls 12 to 18
Step-by-step explanation:
i just messed around with a calculator and found it.
can somone help me pls ?
Answers
[tex]\huge\mathtt{Hello!}[/tex]
[tex](6x - 23) = (4x + 9)[/tex]
[tex]6x -4x = 9 + 23[/tex]
[tex]2x = 32[/tex]
[tex]x = 16[/tex]
It is because the sides are equal, so the angles opposite to them also are equal.
Have a nice day!
-4x = -4x
______________
2x -23= 9
2x +23= + 23
2x = 32
/ 2x. /2
X = 16
First, you cancel out the x by moving the one in the right to the left. You subtract the 6 from the left to the one in the right, giving you 2x. Then you cancel out the number on the left to the right (same thing as the x, remember by cancelling a number out you make it the opposite of what it is so if it’s negative it turns to positive to cancel out). Final step is to cancel out the x so you can divide it by the number that’s left to get the x by itself !
the is factoring quadratics with a leading coefficient: 5x to the 2 power - 14x + 8
Answers
Answer:
The factorization of [tex]5x^2-14x+8[/tex] is (5x-4)(x-2)
Step-by-step explanation:
Given quadratic polynomial is:
[tex]5x^2-14x+8[/tex]
To factor a quadratic polynomial with leading co-efficient has to be factorized, the leading co-efficient and the constant are multiplied and pairs(a,b) of the product are made so that their sum or subtraction is equal to the co-efficient of x
We get 40 by multiplying 8 and 5
And the pair we get are: 10 and 4
[tex]=5x^2-10x-4x+8\\=5x(x-2)-4(x-2)\\=(5x-4)(x-2)[/tex]
Hence,
The factorization of [tex]5x^2-14x+8[/tex] is (5x-4)(x-2)
13. The population of a city is currently 45,000 and is declining at a rate of 2% each year. Estimate the population after a period of 5 years. Use the formula ƒ(t) = aert.
Answers
Given:
Initial population = 45,000
Decreasing rate = 2%
Time = 5 year
To find:
The population after a period of 5 years.
Solution:
Formula used:
[tex]f(t)=ae^{rt}[/tex]
where, a is initial population, r is rate and t is time.
[tex]r=\dfrac{2}{100}=0.02[/tex]
Decreasing rate represented by -0.02.
Substitute a=45000, r=-0.02 and t=5 in the above formula.
[tex]f(5)=45000e^{-0.02(5)}[/tex]
[tex]f(5)=45000e^{-0.1}[/tex]
[tex]f(5)=45000(0.904837418)[/tex]
[tex]f(5)=40717.68381 [/tex]
Approximate the value to the previous integer.
[tex]f(5)\approx 40717 [/tex]
Therefore, the population after 5 years is 40717.
Answer:
40,718
Step-by-step ex
The population of a city is currently 45,000 and is declining at a rate of 2% each year. Estimate the population after a period of 5 years. Use the formula ƒ(t) = aert. planation: