Since you started recording it on your calendar. There have been 112 sunny and 42 rainy days. What has been the rainy day to sunny day ratio?
Answer: 3:8
Step-by-step explanation:
Number of rainy days = 42
Number of sunny days = 112
To calculate the rainy day to sunny day ratio, we can first use the numbers given as fraction and divide to its lowest term. This will be:
= Number of rainy days / Number of sunny days
= 42 / 112
= 3/8
Therefore, the ratio of rainy days to sunny days will be 3:8
Mrs Fuller plants a 4 inch tomato plant in her garden. The tomato plant grows at a rate of 2 inches each week. Which equation can be used to determine h, the height of the tomato plant in inches after w weeks?
Answer: 4 + 2w
Step-by-step explanation:
The height of the tomato plant in inches after w weeks will be the value of the current height plus the weekly growth pee week. This can be represented in an equation as:
h = 4 + 2(w)
h = 4 + 2w
For example, the height of the tomato plant in inches after 5 weeks will be:
h = 4 + 2w
h = 4 + 2(5)
h = 4 + 10
h = 14 inches
What is the slope of the line that passes through the points (3, -2) and (9, -2)?
a) 0
b) 3
c) -3
d) undefined
Answer:
a) 0
Step-by-step explanation:
the equation of the slope (m) for a line from two points is given as (y2-y1)/(x2-x1)
we are given the points (3,-2) and (9,-2)
we can label the points:
x1=3
y1=-2
x2=9
y2=-2
now substitute into the equation:
m=(-2--2)/(9-3)
simplify
m=(-2+2)/6
m=0/6
m=0
the slope of the line is 0, which is option a
Hope this helps!
Which fractions have a LCD of 84? A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7
Answer:
D.)
2/3 1/6 1/7
Step-by-step explanation:
Given the fractions :
A. 3/14 1/42 1/6 B. 2/84 1/16 1/42 C. 2/21 1/4 1/3 D. 2/3 1/6 1/7
We need ot Obtian the set of fractions whose L. C. M of denominator multiplied by the numerator gives an of 84 for all its values.
A.)
L. C. M of 14, 42 and 6 = 42
42 * 3 = 126 ( not true)
B.)
L. C. M of 84, 16, 42 = 336
Can't be true
C.)
L. C. M of 21, 4, 3 = 84
84 * 2 = 168 (not true)
D.)
L.C.M of 3, 6, 7 = 42
Answer:
d
Step-by-step explanation:
(HELP NEEDED ASAP Will give brainliest) What is the lateral surface area?
(all square inches)
80
86
60
92
Answer:
80
Step-by-step explanation:
Area of latera = 3 bh = 10X3 +10x2.5 +2.5x10 = 30+25+25 = 80
b/c the 2 lines are equal
The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lengths of the bases of the trapezoid? The area of the triangle is 65 cm squared
Answer:
[tex]b_1 \approx 7.2[/tex]
[tex]b_2 \approx 14.4[/tex]
Step-by-step explanation:
Given
[tex]Area = 65cm^2[/tex] --- Area of the triangle
[tex]b_2 = 2b_1[/tex] --- the bases of the trapezoid
The missing parameters is:
[tex]h=6 cm[/tex] --- Trapezoid height
Required
Determine b1 and b2
Since the areas of the trapezoid and the triangle are the same, then:
[tex]Area = \frac{1}{2}(b_1 + b_2) *h[/tex]
So, we have:
[tex]65 = \frac{1}{2}(b_1 +b_2) * 6[/tex]
Substitute[tex]b_2 = 2b_1[/tex]
[tex]65 = \frac{1}{2}(b_1 +2b_1) * 6[/tex]
[tex]65 = \frac{1}{2}(3b_1) * 6[/tex]
[tex]65 = 3b_1 * 3[/tex]
[tex]65 = 9b_1[/tex]
Solve for [tex]b_1[/tex]
[tex]b_1 = \frac{65}{9}[/tex]
[tex]b_1 \approx 7.2[/tex]
Substitute [tex]b_1 \approx 7.2[/tex] in [tex]b_2 = 2b_1[/tex]
[tex]b_2 \approx 2 * 7.2[/tex]
[tex]b_2 \approx 14.4[/tex]
A polynomal of degree of 2 that has zeros -4 and 2 is
9514 1404 393
Answer:
f(x) = x^2 +2x -8
Step-by-step explanation:
If p and q are zeros of a quadratic, its factored form is ...
f(x) = (x -p)(x -q)
For your zeros, the factored form is ...
f(x) = (x +4)(x -2)
Expanded using the distributive property, this is ...
f(x) = x(x -2) +4(x -2) = x^2 -2x +4x -8
f(x) = x^2 +2x -8
The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units
Answer:
The area of a triangle is 1/2BH, or 1/2 times the base times the height.
If the area = 6, and B and H must both be whole numbers.
The area of the triangle ΔSTU is given by A = 12 units²
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the area of the triangle ΔSTU be represented as A
Now , the area of triangle ΔQTU is 6 square units, and the area of triangle ΔRSU is 6 square units
So , the base of the triangle ΔSTU = 6 units
The height of the triangle ΔSTU = 4 units
So , area of the triangle = ( 1/2 ) x Length x Base
On simplifying , we get
The area of triangle ΔSTU = ( 1/2 ) x 4 x 6
The area of triangle ΔSTU = 12 units²
Therefore , the value of A is 12 units²
Hence , the area of the triangle is 12 units²
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ3
The complete question is attached below :
The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units?
25 points. Need help
Answer:
BD = 21 units
Step-by-step explanation:
By applying mean ratio theorem in the given triangle ABC,
[tex]\frac{AD}{BD}=\frac{BD}{CD}[/tex]
AD × CD = BD²
21 × 21 = BD²
BD² = (21)²
BD = 21
Therefore, measure of segment BD is 21 units.
Plz help ASAP I will mark u branliest
a jug holds 2 cups of liquid. a recipe for fruit punch is 1/2 cups of orange juice. 1/4 cup of raspberry juice, 3/8 cups of grapefruit juice, and 5/8 cups of lemonade. the the jug big enough for the punch? explain
A computer randomly selects a number from the given set. {1.2 5 10 25 30 36} What is the probability that an even number is selected? Enter your answer as a fraction, in simplest form, in the box. Pleven) =
Answer:
4/7 (I may be wrong)
Step-by-step explanation:
There are 7 numbers, of which 4 are even. This could be %100 wrong/right.
Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk and 4 loaves of bread at the same prices, for a total of $10
How much does a liter of milk cost, and how much does a loaf of bread cost?
Answer:
Milk costs 75 cents per litre.
Bread costs $1.75 per loaf.
Step-by-step explanation:
what is 3 13/20 as a decimal
Answer:
3.65
Step-by-step explanation:
HELPP! this is my second time uploading this question:,,)
George tells you that when variables are in the denominator, the equation
2/3+5/x=8/9 becomes unsolvable. George explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." Demonstrate to George how the equation is still solvable and explain your reasoning.
Answer:
X can equal 22.5
Step-by-step explanation:
I've set up the equation below:
[tex]\frac{2}{3} +\frac{5}{x} =\frac{8}{9}[/tex]
With this equation, as any addition equation goes, we assume it to be like this:
A + B = C
so
C - A = B
that means,
[tex]\frac{8}{9} -\frac{2}{3} =\frac{5}{x}[/tex]
The easiest thing to do is to make 2/3 have the same denominator as 8/9, we do this by...
[tex]\frac{2}{3} *\frac{3}{3} = \frac{6}{9} \\[/tex]
So...
[tex]\frac{8}{9} -\frac{6}{9} =\frac{2}{9} =\frac{5}{x}[/tex]
We now know that 5 over x equals 2 over nine. We can determine x by cross multiplying as follows:
[tex]\frac{5}{x} =\frac{2}{9} \\2x = 45\\x=22.5[/tex]
So, x is 22.5, making the equation indeed solvable.
Have a nice day, fam. This problem really worked my brain! Spread The Love.
the product of 2 consecutive integers is 42. find the integers
Answer:
6 & 7
Step-by-step explanation:
6 x 7 = 42
They are consecutive!
Answer:
6x7
Step-by-step explanation:
hope this helps!
find the value of x in this screenshot
Answer:
X=24
Step-by-step explanation:
3x+5+2x-4+2x+11=180
7x+12=180
7x=180-12
7x=168
7x/7=168/7
x=24
The smelter produces 384 tons of cast iron a day. How much coke is burned per day during smelting if 15 tons of coke is consumed per 16 tons of cast iron?
Answer:
360 tons
Step-by-step explanation:
Coke burned : cast iron = 15 : 16
The smelter produces 384 tons of cast iron a day
Let x = tons of coke burned
Coke burned : cast iron = x : 384
Equate both ratios
15 : 16 = x : 384
15/16 = x/384
Cross product
15 * 384 = 16 * x
5,760 = 16x
x = 5,760/16
x = 360
x = tons of coke burned = 360 tons
hi, find the real zeros. if there are none, just say none.
Answer:
None
Step-by-step explanation:
Answer:
none
Step-by-step explanation:
cause there isnt any zero
There is 13 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.
Complete question :
There is 1/3 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.
Answer:
1 /9
Step-by-step explanation:
Capacity of container = 3 gallons
Amount of gallons in container = 1/3 gallon.
Fraction of water in container:
Division equation :
Amount of gallon in container / capacity of container
1 /3 ÷ 3 = 1/ 9
Multiplication equation :
1/3 of 1 gallon
Capacity of container = 3 gallons
1/ 3 * inverse of 3
1/3 * 1/3 = 1/9
Give the values of a, b, and c from the standard form of the equation (2x + 1)(x - 2) = 0.
A. a = 3, b = 1, c = -1
B. a = 2, b = 5, c= -2
C. a = 2, b = -3,c = -2
Given:
The equation is:
[tex](2x+1)(x-2)=0[/tex]
To find:
The values of a, b and b from the standard form.
Solution:
The standard form of a quadratic equation is:
[tex]ax^2+bx+c=0[/tex] ....(i)
We have,
[tex](2x+1)(x-2)=0[/tex]
In can be rewritten as
[tex]2x(x)+(2x)(-2)+(1)(x)+(1)(-2)=0[/tex]
[tex]2x^2-4x+x-2=0[/tex]
[tex]2x^2-3x-2=0[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]a=2,b=-3,c=-2[/tex]
Therefore, the correct option is C.
Jackson bought a jar of 240 marbles. The percent bar graph shows the percentage of each color marble in the jar.
How many of the marbles are yellow?
Answer:
72 marbles are yellow
Step-by-step explanation:
Since multiplication is implied algebra we often don't need to actually write the times symbol ‘×'. Re-write this algebraic equation without the times symbol. a × b = 4 × c
Answer:
ab=4c
Step-by-step explanation:
Since a and b are being multiplied, we can just right ab. Since 4 and c are being multiplied, we ca just right 4c.
Answer:
ab=4c
Step-by-step explanation:
Basically, if you see any variables that are together like that or numbers side by side with letters, it means it's just being multiplied! This doesn't however, work with numbers next to numbers. So for example:
Say you have a x b = 5 x 5c
It would be ab = 5 x 5c Because only letters get put next to each other. That's really the only way I know how to explain it. Have a great day and good luck!
What is the domain of the linear function below?
Y=6x+3
A. All negative numbers
B. All positive numbers
C. Integers only
D. All real numbers
PLEASE HELP MY MATH GRADE IS LOW AND THIS IS THE ONLY WAY TO GET IT UPPPPP PLEASE I WILL MARK U BRAINLEST PLEASE TRY YOUR BEST THANKSSS SO MUCH
Answer:
I can't see!
Step-by-step explanation:
Miss Johnson bought a roast that weighed 6lb. 4oz. What was the total cost of the roast if the cost per pound was $4.48.
Answer:
26.88$
Hope this helps :))
Two-step equation
2x+5x=-1
What's the answer for x=
Answer:
x=-1/7
Step-by-step explanation:
Combine like terms
7x=−1
Then you divide both sides by 7 and then you get x=-1/7 (fraction)
Hope it helps :)
Please help I’ll mark brainliest
Answer:
-2-24i
Step-by-step explanation:
vector addition
let x be the value without the vector I
x+7+5=10
x=10-12
x=-2
let y be the value with the vector I
y-3+9+13= -5
y +19= -5
y= -24
What is another way to describe an event with a probability of 1?
Answer:
Likely to get it.
Step-by-step explanation
Do you mean 1% or 1? If 1 then it is likely to pick that.
If it is 1% then it's the opposite (unlikely) to pick that.
Hopes this makes sense!
I HATE SCHOOL ESPECIALLY MATH
Answer:
Step-by-step explanation:
Answer is in the picture. I promise its not a bad picture.