The number of workers that drink at least one of coca-cola and fanta is = 30.
Calculation using Venn diagramThe total number of workers under survey = 200
The number of workers that drink only coca cola = 130 - X
The number of workers that drink fanta = 100 - X
The number of workers that drank at least one drink = X
To calculate for x;
130 - X + X + 100 - X = 200
Being like terms together,
-X = 200 - 130 -100
-X = 200 - 230
-X = - 30
X = 30
Therefore, the number of workers that drink at least one of coca-cola and fanta is = 30
Learn more about Venn diagram here:
https://brainly.com/question/9384416
Use intercepts to graph the linear equation 5x+3y=30 .
Identify the points corresponding to the intercepts.
Answer: (6, 0) (0, 10)
Step-by-step explanation:
Intercepts occur when the axis is crossed, which is when the other axis is at 0. Plug in 0 for x & y. 5x + 0 =30 means x = 6. 3y + 0 =30 means y is 10.
PLEASE HELP ASAP! These two triangles are similar. Solve for X.
Answer:
Y= 13 x=10
Step-by-step explanation:
12x13x5= 780
6x13x10= 780
Multiply: 1 1/6 x 6/11 =
Solution:
To solve a mixed fraction multiplication problem, you must:
Convert the fractions into improper fractions. (If the fractions are proper, you can skip this step.)Simplify the fractions If possible. (If it is not possible, you can skip this step.)Multiply the fractions (numerator with numerator and denominator with denominator).After reviewing how to multiply an improper fraction, let's solve the multiplication problem.
1 1/6 x 6/11=> (6 + 1)/6 x 6/11 [According to step 1]=> 7/6 x 6/11 => 7/1 x 1/11 [According to step 2]=> 7 x 1/11 x 1 [According to step 3]The solution to the multiplication problem is 7/11.
[tex] \bf \nrightarrow \: 1 \frac{1}{6} \times 6 \frac{6}{11} [/tex]
Convert the mixed fraction to improper fraction by Multiplying the denominator with the integer and adding the numerator to the product of denominator and integer
[tex] \sf \underbrace{1 \frac{1}{6} = \frac{7}{6} }[/tex]
Now, Multiply the fractions
[tex] \bf \: \frac{7}{6} \times \frac{6}{11} [/tex]
Multiply the numerators and denominators
[tex] \bf \nrightarrow \: \frac{7 \times \cancel 6}{ \cancel6 \times 11} [/tex]
[tex] \boxed{ \sf \: ans \multimap \: \frac{7}{11} }[/tex]
If two cards are randomly drawn from a deck of ordinary playing cards, one at a time, with replacement, what is the probability of obtaining no aces
Answer:
144/169
Step-by-step explanation:
There are 52 cards, 4 are aces, so the probability of not getting ace is 48/52, so we square it, or multiply it by itself to get 144/169
(PLEASE HURRY! WILL AWARD BRAINLIEST)
Find the value of x to the nearest tenth. Show your work.
Solve the system of equations.
3x – 1ly = -1
-
2x – 5y = -3
-
X =
y =
Answer:
I still tried to find the answer but your gonna need to move it in a way that people can understand
Step-by-step explanation:
5. The science class is raising monarch caterpillars.
One of the caterpillars weighs 2.3 ounces.
About how many grams does the caterpillar
weigh? Round to the nearest tenth.
Answer:
65.2 g
Step-by-step explanation:
1 ounce is approximately 28.35 grams. So, 2.3 ounces is ...
(2.3 oz) × (28.35 g/oz) ≈ 65.2 g
The caterpillar weighs approximately 65.2 grams.
_____
Additional comment
The exact conversion is 1 oz = 28.349523125 g. For a 3-significant figure answer, we only need a conversion factor accurate to 4 significant figures.
Answer the question velow
Graph y=4x-1
y=4x-1" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 23.8px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">y=4x−1y=4x-1
Use the slope-intercept form to find the slope and y-intercept.
Slope: 4" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">44
y-intercept: (0,-1)" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">(0,−1)(0,-1)
Any line can be graphed using two points. Select two x" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">xx values, and plug them into the equation to find the corresponding y" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 15.47px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position:
School yearbooks cost $23. Fifty-six yearbooks have already been sold. How many more yearbooks x must be sold to earn at least $2001? Write your answer as an inequality.
Answer:
x [tex]\geq[/tex] 31
Step-by-step explanation:
Total number of the yearbooks is 56 + x
Total money earned is 23*(56 + x)
so 23*(56 + x) [tex]\geq[/tex] 2001
56 + x [tex]\geq[/tex] 2001/23 = 87
x [tex]\geq[/tex] 87 - 56 = 31
Answer: x [tex]\geq[/tex] 31
Hello i need help with my assignment thank you in advance and i know you deserve the point
Answer:
1) a = 51, 2) b = 57, 3) c = 53, 4) e = 49 d = 131, 5) f = 33, 6) g = 79, 7) h = 42 j = 47, 8) m = 59 k = 17 i = 104, 9) n = 55
Step-by-step explanation:
1.
You see that angle HJK has a total degree angle of 115, half of the angle is already stated to be 64 degrees, so you would just have to find the remainder. 115 - 64 = 51
2.
The question follows the same format, when you see the square in the corner it generally means that it is a 90-degree angle. So following the same steps as last time angle b would be 90 - 33 = 57
3.
Whenever there is a flat line given the angle is equal to 180 degrees, think of it as putting two 90 degree angles back to back. So if they equal 180 angle c would equal 180 - 127 = 53
4
This question is just a little different when you see crossing perpendicular lines angles across from each other equal the same amount, so angle d would be 131. Finding angle e is not hard either, back to question 3 for when it was just a straight line the same logic can be applied here. e would equal 180 - 131 = 49
what the y-intercept for -7x+2y=10
Answer:
See below.
Step-by-step explanation:
-7x+2y=10
/2 /2 /2
-7/2x+y=5
+7/2x +7/2x
y=7/2x+5
The y-intercept is 5.
-hope it helps
We have a promotion that will allow us to beat our competitors' prices and save you money. Did you notice that our competitor is selling that same item for $150.00?
Customer: "Yes"
Employee: "Our price for that item is $120.00, for a savings of __________."
HELP ME ASAP
Question is below!!
Answer:
E
Step-by-step explanation:
because its going up by 1's and so it would be 5x6/2 =15
Jessica wants to build a display shelf similar to the diagram below. She knows that AABC is similar to A ADE. Using the dimensions on the diagram, what will be the length of the shorter shelf (x) in inches?
Step-by-step explanation:
similar ∆les have sides ratio
de/bc = ad/ab
x/12 = 6/16
x=9/2
Expand to write an equivalent expression: -1/2(-2x+4y)
Answer:
x-2y
Step-by-step explanation:
distribute the -1/2
(-2x/-2) + (4y/-2)
PLEASE HELP FAST!!!!!
Bacchus bought 7 pounds of grapes for $3.43. What was the price for 1 pound of grapes?
Group of answer choices
$0.49
$0.46
$0.50
1. Ms. Hogan and Ms. Brantley believe that less than 30% of students at Olympia High School completed their math homework last week. They enlist the help of all the math teachers and select a random sample of students and determine the percentage of those who completed their homework last week. 2. A company claims they have a diagnostic test that can detect cancer 90% of the time for those who have cancer. 150 people who have been diagnosed with cancer are given this diagnostic test. 108 of the individuals is identified as having cancer. Does this study provide convincing evidence that percentage of those diagnosed by this test is different than the company claims
Answer:
Yes
Step-by-step explanation:
Number 1 isnt asking a question.
2. If you divide 108/150= 0.72%
That is 18% percent off from what they claim which is quite a bit. Im not sure what is considered the "close enough" percentage but 18 is definitely more.
please help me with this please
Answer:
3
……………………………………………………………………
Answer:
The answer is 3
Step-by-step explanation:
Image attached! Please help
Really simple algebra equation!
Giving 50points!
Answer:
a=10
Step-by-step explanation:
use a^2+b^2=c^2
(a+2)^2+(a-5)^2=(a+3)^2
a^2+4a+4+a^2-10a+25=a^2+6a+9
2a^2-6a+29=a^2+6a+9
a^2-12a=-20
a^2-12a+20=0
quadratic formula→(12+/-8)/2
a=10 or 2
2 is not an option because 2-5=-3 which isn't possible in this case.
so a=10
Apply Pythagorean theorem
(a-5)²+(a+2)²=(a+3)²a²-10a+25+a²+4a+4=a²+6a+9a²-6a+29=6a+9a²-12a+20=0a²-10a-2a+20=0a(a-10)-2(a-10)=0(a-2)(a-10)=0a=2,10There is a side a-5 so 2 is not a answer
a=10
Work out the value of
(9 x 10^-4) x (3 x 10^7)
Give your answer in standard form.
Answer:
2.7 x 10^4
Step-by-step explanation:
Select the correct answer from the drop-down menu.
C and D
because root(4) = 2
C = 2 1
1 2
2 1
Function g is defined as
g(x)=f (x + c). What is the value of c?
Answer:
c= gx/f -x
Step-by-step explanation:
You're Welcome haha
How many 3 inch segments are in a line 120 inches long
Answer:
40 segments
Step-by-step explanation:
Divide the 120 inches into 3 inch segments, it gives you 40 3 inch segments
Simplify the following without a calculator ( a) √3 × √3 (b)( 2√7)² (c) 3√6 × 4√6
Which is the quotient of 15 divided by 4?
Answer: 4
Step-by-step explanation:
4 goes into 15 three times with remainder 3
The quotient is the number that comes out of division
Therefore, the quotient is 4
PLEASE HELP i have been on this question forever
Answer:
1520.5
Step-by-step explanation:
The area of a circle is pi times r^2. r stands for radius. r, which is 22 squared is 484, Multiply that with pi and you have your answer.
Answer:
The area of circle is 1520.5 in².
Step-by-step explanation:
DIAGRAM :
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large{22\ in}}\end{picture}[/tex]
[tex]\begin{gathered}\end{gathered}[/tex]
SOLUTION :
Here's the required formula to find the area of circle :
[tex]\longrightarrow{\sf{A_{(Circle)} = \pi{r}^{2}}}[/tex]
A = Area π = 3.14 r = radiusSubstituting all the given values in the formula to find the area of circle :
[tex]{:\implies{\tt{A_{(Circle)} = \pi{r}^{2}}}}[/tex]
[tex]{:\implies{\tt{A_{(Circle)} = 3.14{(22)}^{2}}}}[/tex]
[tex]{:\implies{\tt{A_{(Circle)} = 3.14{(22 \times 22)}}}}[/tex]
[tex]{:\implies{\tt{A_{(Circle)} = 3.14{(484)}}}}[/tex]
[tex]{:\implies{\tt{A_{(Circle)} = 3.14 \times 484}}}[/tex]
[tex]{:\implies{\tt{A_{(Circle)} = 1520.53}}}[/tex]
[tex]{:\implies{\tt{A_{(Circle)} \approx 1520.5}}}[/tex]
[tex]{\star{\boxed{\tt{A_{(Circle)} \approx 1520.5 \: {in}^{2}}}}}[/tex]
Hence, the area of circle is 1520.5 in².
[tex]\rule{300}{2.5}[/tex]
Pls answer this line problem
Answer:
2 1/4
Step-by-step explanation:
how am i supposed to explain this (wait until someone else answers aswell im not that smart)
Find a polynomial f (x) of degree 4 that has the following zeros.
0, -8 (multiplicity 2), 7
Leave your answer in factored form.
Answer:
[tex]f(x)=x(x-7)(x+8)^2[/tex]
Step-by-step explanation:
The zeros of the polynomial are all the values of [tex]x[/tex] for which the function [tex]f(x)=0[/tex]
Therefore,
[tex]x = 0[/tex]
[tex]x = -8 \implies x + 8 = 0[/tex] (twice)
[tex]x = 7 \implies x -7 = 0[/tex]
Write the polynomial as a product of its factors:
[tex]f(x)=x(x-7)(x+8)^2[/tex]
Which set of ordered pairs represents a
function?
{(6,8),(-4,2), (-7,4), (-7,8)}
{(0,9), (3,5), (0, -4), (6,2)}
{(6,0), (-7,2), (4, 8), (9,2)}
o {(-5,5), (0, -3), (-5, -2), (6,8)}
Submit Answer
help me please
keeping in mind that a function is a set that has no X-repeats, namely the x-coordinate on every pair is never repeated, let's check these ones.
Check the picture below.
What is 19 and 2/10 decided by 1 and 6/10