Answer:
I HOPE THIS WILL HELP YOU :)
Step-by-step explanation:
115°=17x-4
adding 4 on both sides
115°+4=17x-4+4
119°=17x
dividing 17 on both sides
119°/17=17x/17
x=7
now we find the measure of angle
17(7)-4
=119-4
=115° same as angle R
Answer:
x = 7
115°
Step-by-step explanation:
Opposite angles in a parallelogram are equal.
17x - 4 = 115
Add 4 on both sides.
17x = 115 + 4
17x = 119
Divide 17 on both sides.
x = 119/17
x = 7
Plug x as 7 in angle T.
17(7) - 4
119 - 4
= 115
What are the units for the variable in the following scenario?
Sherry bought 6 apples at 43° per apple. She then bought 4 oranges at 51c
per orange. How much was her grocery bill?
Answer:
Her grocery bill is $4.62
Step-by-step explanation:
The first step is to multiply 6 and .43 to get how much it was for all of the apples.
Then the next step is to do the same thing with the oranges.
Then the last step is to add the two together.
Answer:
$4.62
Step-by-step explanation:
what is 11 1/3 rounded to the nearest half?
Answer:
1/5
Step-by-step explanation:
PLLLEASEEEEE!!!!!
Find the value of v and w.
Answer:
v=20, w=80
Step-by-step explanation:
First, we can find v by determining that angle 5v and angle 4v and supplementary to each other. This means that their sum adds up to 180 degrees.
5v + 4v=180
9v=180
v=20
We also know 4v is equivalent to w.
4(20)=w
w=80
Answer:
Step-by-step explanation:
5v + 4v = 180 {co-interior angles}
9v = 180
v = 180/9
v = 20
Angles opposite to equal sides are equal.
So, w = 4v
w = 4*20
w = 80
What is the solution to the inequality 20+51 > 1?
Answer: n>-2
Step-by-step explanation:
|2n+5|>1
-5 on both sides
|2n|>-4
divide 2n on both sides
n>-2
Mark Brainliest please
There was a mistake in this person's question, this person corrected it in the comments below
Answer: n>-2
Step-by-step explanation:
Please help! Tim and Jane both work at a company that sells boxes of breakfast cereal. The boxes of cereal cost £3.00 and the amount of cereal in each box weighs 160g The company wants to have a special offer Here is Tim's idea: Put 25% more cereal in the box and do not change the price Jane's idea is: Reduce the price and do not change the amount of cereal in the box Jane wants her idea to give the same value of money as Tim's idea By what percentage does she need to reduce the price?
Answer: Jane needs to reduce the price by 20%
Step-by-step explanation: The first thing to note is the original price of the cereal and that is given as £3 for every 160 grams.
The change proposed by Tim is as follows;
Put 25% more cereal in the box (and do not change the price). That means 160 g plus 25%. Mathematically, this can be expressed as;
New weight = 160 + (160 * 25%)
New weight = 160 + (160 * 0.25)
New weight = 160 + 40
New weight = 200
Hence, Tim's idea would result in a cereal box with 200 grams that still cost £3. At this rate, each gram would cost
1 gram = Price / Total grams
1 gram = 3/200
1 gram = 0.015
However, Jane has proposed that the amount of cereal in the box should not be changed, which means the box of cereals should remain 160 grams. The price should be reduced to give the same value as Tim's idea. This means 160 g of cereals should now sell for £0.015 per gram. That would bring the price of 160 g to,
1 gram = 0.015
160 grams = 0.015 * 160
160 grams = 2.4
With Jane's proposal, a 160 g box of cereal should now be sold at £2.4 each. That is a reduction of £0.6
Therefore, the percentage reduction can be calculated as follows;
% decrease = (0.6/3) * 100
% decrease = (1/5) * 100
% decrease = 20
From the results above, Jane should reduce the price (£3 per 160 g) by 20%.
Use the vertical line test to determine if the graphed relation is a function
Yes. One output results in one input.
O No. At least one input results in two outputs.
Yes. One input results in one output.
No. At least one output results in two inputs.
Answer:
The given graph is a function because
One input result in one output.
Step-by-step explanation:
Vertical line test is a test used for testing whether a graphed relation is a function or not. In a vertical line test, multiple vertical lines can be drawn at any point of the function. If the vertical lines intersect the graph only at one point, it means the there is only one value of y for a value of x, therefore the given relation is a function. If the vertical lines interest the graph at 2 or more locations, the given relation is not a function.
1 2/7 divided by (-2 1/4)
Hey there! :)
Answer:
-4/7.
Step-by-step explanation:
Convert 1 2/7 to an improper fraction:
1 2/7 --> [tex]\frac{9}{7}[/tex]
Convert -2 1/4 to an improper fraction:
-2 1/4 --> [tex]\frac{-9}{4}[/tex]
Divide by multiplying by the reciprocal:
[tex]\frac{9}{7} * \frac{4}{-9}= \frac{9*4}{7*(-9)}= \frac{-4}{7}[/tex]
Therefore, 1 2/7 divided by -2 1/4 equals -4/7.
what is the point slope equation of the line with slope -1/3 that goes through the point (4, -5)
Answer:
B) y+5 = -1/3(x-4)
Step-by-step explanation:
y-y1 = m(x – x1)
Here, m represents the slope
(x1, y1) represents the coordinate point
By substituting the given values in the equation, the equation of a line is obtained.
Answer:
y+5=-1/3(x-4)
Step-by-step explanation:
y=-1/3 (x-4)-5
if the first and third of three consecutive odd integers are added, the result is 75 less than five times the second integers. find the third integer. please show work
Answer:
The third integer is 27
Step-by-step explanation:
Given
Represent the consecutive odd numbers with [tex]T_1, T_2; and\ T_3[/tex]
Since they are consecutive odds, then
[tex]T_2 = 2 + T_1[/tex]
[tex]T_3 = 2 + T_2[/tex]
From the first statement in the question, we have that
[tex]T_1 + T_3 = 5 T_2 - 75[/tex]
Required
Find the third integer
Recall that
Substitute [tex]T_2 = 2 + T_1[/tex] in [tex]T_3 = 2 + T_2[/tex]
[tex]T_3 = 2 + 2 + T_1[/tex]
[tex]T_3 = 4 + T_1[/tex]
Substitute [tex]T_3 = 4 + T_1[/tex] and [tex]T_2 = 2 + T_1[/tex] in [tex]T_1 + T_3 = 5 T_2 - 75[/tex]
[tex]T_1 + 4 + T_1 = 5(2 + T_1) - 75[/tex]
Open Brackets
[tex]T_1 + 4 + T_1 = 10 + 5T_1 - 75[/tex]
Collect like terms
[tex]T_1 + T_1 + 4 = 5T_1 - 75 + 10[/tex]
[tex]2T_1 + 4 = 5T_1 - 65[/tex]
Collect like terms
[tex]2T_1 - 5T_1 = - 65 - 4[/tex]
[tex]-3T_1 = - 69[/tex]
Divide both sides by -3
[tex]\frac{-3T_1}{-3} = \frac{- 69}{-3}[/tex]
[tex]T_1 = 23[/tex]
Recall that [tex]T_3 = 4 + T_1[/tex]
[tex]T_3 = 4 + 23[/tex]
[tex]T_3 = 27[/tex]
The third integer is 27
Mrs. Gomes found that 40% of students at her high school take chemistry. She randomly surveys 12 students. What is the probability that exactly 4 students have taken chemistry? Round the answer to the nearest thousandth. P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction 0.005 0.008 0.213 0.227
Answer:
The correct answer to the following question will be "0.438".
Step-by-step explanation:
Just because Mrs. Gomes finds around 40% of students in herself high school are studying chemistry.
Although each student becomes independent of one another, we may conclude:
"x" number of the students taking chemistry seems to be binomial to p = constant probability = 0.40
Given:
Number of surveys
= 12
Exactly 4 students have taken chemistry:
[tex]=P(X\leq4)[/tex]
[tex]=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)[/tex]
[tex]=\Sigma_{0}^{4} C_{r}(0.4)^r(0.6)^{12-r}[/tex]
On substituting the above equation, we get the probability of approximately "0.438".
So that the above would be the appropriate answer.
Answer:
0.213
on edge
Step-by-step explanation:
Need help ASAP the numbers are correct I just need to know the other missing numbers
Step-by-step explanation:
1.32:24
32/8:24/8
4:3
2.20:32
20/4:32/4
5:8
3.24:76
24/4:76/4
6:19
4.24:32:20
24/4:32/4:20/4
6:8:5
A baseball team has 3 outfielders, 4 infielders, and a battery (the pitcher and the
catcher), what is the ratio for the battery to the entire team?
3:4
1:8
1:3
1:4
This rectangular frame is made from 5 straight pieces of metal.
5 m
12 m
The weight of the metal is 1.5 kg per metre.
Work out the total weight of the metal in the frame.
Answer:
Total weight = 70.5 kg
Step-by-step explanation:
Rectangular frame is made from 5 straight pieces of metal. One of them goes through the diagonal of the rectangle.
2 pieces form the length of the rectangular frame, hence, they have a length of 12 m each
2 pieces from the width of the rectangular frame, hence, they a length of 5 m each
To find the length of the diagonal, we can use Pythagoras Theorem:
Hypotenuse² = Base² + Perpendicular²
Hypotenuse² = 5² + 12²
Hypotenuse² = 169²
Hypotenuse = 13
Hence, the length of the piece of metal placed at the diagonal is 13cm
Find the sum of all lengths of the metal pieces.
Total length = 12 + 12 + 5 + 5 + 13
Total length = 47 m
Total weight = 1.5 × Total length
Total weight = 1.5 kg/m × 47m
Total weight = 70.5 kg
The total weight of the metal in the frame is 70.5 kg
If a rectangular frame is made from 5 straight pieces of metal, with a length of 5m and a width of 12m
Get the diagonal
[tex]d^2= 5^2 + 12^2\\d^2 = 25 + 144\\d^2 = 169\\d= 13m[/tex]
Get the perimeter of the rectangular frame:
Perimeter of the frame = 2(5 + 12) + 13
Perimeter of the frame = 2(17) + 13
Perimeter of the frame = 34 + 13
Perimeter of the frame = 47m
If the weight of the metal is 1.5 kg per metre, the total weight will be expressed as:
Total weight = 47 * 1.5
Total weight = 70.5kg
Hence the total weight of the metal in the frame is 70.5 kg
Learn more here: https://brainly.com/question/10452031
PLSSSS HELPPP>> Show work solve the sysytem- y=1/2x^2+4x+4 y=-4x+12 1/2
Answer:
The solution is (-17,80.5) and (1,8.5)
Step-by-step explanation:
Equation 1 : [tex]y=\frac{1}{2}x^2+4x+4[/tex]
Equation 2: [tex]y = -4x+12.5[/tex]
Substitute the value of y from equation 2 in equation 1
Equation 1 : [tex]y=\frac{1}{2}x^2+4x+4[/tex]
After substitution :
[tex]-4x+12.5=\frac{1}{2}x^2+4x+4\\\frac{1}{2}x^2+8x+4-12.5=0\\\frac{1}{2}x^2+8x-8.5=0\\x^2+16x+17=0\\x=-17,2[/tex]
Substitute the value of x = -17
y = -4x+12.5
y = -4(-17)+12.5
y=80.5
Substitute the value of x = 1
y = -4(1)+12.5
y=8.5
Hence the solution is (-17,80.5) and (1,8.5)
What is the answer to... 5m+8n-2(3m-n)?
Answer:
-m + 10n
Step-by-step explanation:
5m+8n-6m+2n = -m+10n
Lines AB and CD (if present in the picture) are straight lines. Find x. Give reasons to justify your solutions.
Answer:
WORDS: The value of x is 15.
EQUATION: x = 15
Step-by-step explanation:
1. AB is a straight line therefore angles AOF, FOG, and GOB total 180º
2. If ∠FOG = 90º, AOF + GOB = 90º by subtraction & substitution property
3. 5x - 15 + 2x = 90 (now solve) --> by substitution
4. 7x - 15 = 90 --> by C.L.T. or Combine Like Terms
5. 7x = 105 --> by C.L.T. or Combine Like Terms
6. x = 15 --> by inverse operations (division)
Hope this helps!
Which inequality is equivalent to \-41 <9?
0-9 > X-4 < 9
-9 < x-4 < 9
O X-4<-9 or x – 4 < 9
hry 4 > -9 or x - 4<9
h(t)=-16t^{2}+100t+10 find the domain and range. please
Answer:
Step-by-step explanation:
The graph of this function is that of a parabola that opens down (due to the negative coefficient of t^2). The axis of symmetry is
-b -100
x = --------- = ----------- = 50/16 = 25/8.
2a 2(-16)
The y value of the vertex is h(25/8) = -16(25/8)^2 + 100(25/8) + 10, or 166/25.
The largest value this function can take on is 166/25. Thus, the range is
(-infinity, 166/25).
Since the given function is a polynomial, the domain consists of all real numbers.
Week 3 Day 14 – POD
On Friday, Mica has $22.50 in her bank account. Mica goes to the market to get
groceries for the week and ends up spending more than planned. When Mica checks
her account, she now has a balance of $-48.15. How much money did Mica spend at
the market?
Show or explain your work in the space below:
Can u plz help me create a model to solve the math problem plz?
Answer: Mica spent $70.65
Step-by-step explanation:
Mica's bank balance before shopping = $22.50
Mica's bank balance after shopping = - $48.15
Mica's spending could be calculated by:
Difference between initial and final bank balance.
Hence,
[(Bank balance before shopping - (bank balance after shopping)]
[$22.50 - (-$48.15)]
= $22.50 + 48.15
= $70.65
Please help! Which of the following values in the set below will make the equation 2x + 1 = 3 true? (Only input the number.) {0, 1, 2, 3, 4} (5 points)
Answer: The value of x = 1.
Step-by-step explanation: I only inputted the answer as you said. Hope this helps!
Answer:
1
Step-by-step explanation:
(2x1) +1 = 3
x=1
Christina's family is building a house. On the blueprint, Christina's rectangular room measures 10cm by 12cm. The map has a scale of 1 cm=1.5 ft. What is the actual area of Christina's room?
Answer:
270 ft square
Step-by-step explanation:
10cm * 1.5ft = 15 ft
12cm * 1.5ft = 18ft
18ft * 15ft = 270ft square
Answer:
270 sq ft
Step-by-step explanation:
You can buy shampoo in a 6 oz bottle for 2.79 or in a 14 oz bottle for 10.89
Answer:
Step-by-step explanation:
Find and compare the unit costs of the two different bottle sizes.
First:
$2.79/(6 oz) = $0.465/oz
Second:
$10.89/(14 oz) = $0.778/oz
Clearly, the larger (14 oz) bottle is a much better buy
Answer: 14oz bottle for 10.89
Step-by-step explanation:
Did it before
The question, “How many ways can 4 different students be selected in order from a class of 30 students?”, is a(n) _____. permutation mutually exclusive event combination independent event
Answer:
permutation
Step-by-step explanation:
The permutation refers to the arrangement of a people, person, number, colors, alphabets or any other thing
While on the other hand the combination refers to the selection or choosing a particular thing like - clothing, menu, subjects, etc
But in the given question it asks for the number of ways can different students be selected so its a case of permutation and the same is to be considered
The perpendicular bisector of the line segment connecting the points (-3,8) and (-5,4) has an equation of the form y = mx + b. Find m+b. BTW, the answer is not 16...
Answer:
Step-by-step explanation:
find the slope
[tex]\frac{4-8}{-5-(-3)} =\frac{-4}{-2} \\\\slope=2\\y=mx+b\\y=2x+b\\[/tex]
take a coordinate to fill in
[tex](-5,4)\\y=-5\\x=4\\-5=2(4)+b\\-5=8+b-8 -8\\-13=b\\[/tex]
this means that the equation is y=2x-13
and if you add m and b
you get :-11
I HOPE THIS HELPS
Answer:
7/2
Step-by-step explanation:
Let $A = (-3,8)$ and $B = (-5,4)$. The midpoint of $\overline{AB}$ is $\left( \frac{(-3) + (-5)}{2}, \frac{8 + 4}{2} \right) = (-4,6)$.
The slope of $\overline{AB}$ is $\frac{8 - 4}{(-3) - (-5)} = 2$, so the slope of the perpendicular bisector of $\overline{AB}$ is $-\frac{1}{2}$. Therefore, the equation of the perpendicular bisector is given by
\[y - 6 = -\frac{1}{2} (x + 4).\]Isolating $y,$ we find
\[y = -\frac{1}{2} x + 4.\]
Which of the following systems of equations is an example of one where substitution is the best method?
Answer:
The answer is option D.
I hope this helps.
Answer:
y = 2/7x +11
3x-4y = -24
Step-by-step explanation:
We would want to use substitute on the last set of equations since the first equation is already solved for y. It is easy to substitute for y in the second equation
How many solutions does this equation have?
x=y - 3
2x - 2y = - 6
1. NO SOLUTION
2. ONE SOLUTION
3. INFINITE NUMBER OF SOLUTIONS
Answer:
option 2 is correct ans. it can be solved by substitution method.
Determine the slope of the line graphed by 5y +63 – 2 = 0. Type a numerical answer in the space provided.
A principle of $2400 is invested at 7.5% interest, compounded annually. How many years will it take to accumulate $6000 or more in the account? Write the smallest possible whole number answer.
Step-by-step explanation:To find the interest accumulated over a period of time you use:
A = P [1 + (r/n)]^(nt)
with A = new amount in the account, P = principal, r = percent rate as a decimal, n = how many times you compound during one year, t = time in years.
A = 2000
P = 1500
r = 0.035
n=1
Thus you get:
2000 = 1500 (1+0.035)^t
Divide by 1500:
(4/3) = (1.035)^t
Apply "ln" on both sides:
ln(4/3) = t*ln(1.035)
Calculate the logarithms:
0.28768 = t*0.03440
Divide by 0.03440 on both sides:
t = 8.36 years
So after approximately 8 years and 5 month you will have $2000 or more in the account.
A marketing firm tracks data on grocery store visits. In one study,it finds the probability that a shopper buys bread during a visit to the grocery store is 0.60,and the a shopper buys cheese is 0.25
Event A= A shopper buy bread.
Event B= A shopper buys cheese.
A and B are independent events if____.
Answer:
B. The probability of buying bread and cheese is 0.15
Step-by-step explanation:
Data
probability that a shopper buys bread, P(A) = 0.6probability that a shopper buys cheese, P(B) = 0.25If two events A and B are independent, then the probability that A and B occur is:
P(A∩B) = P(A)*P(B)
Replacing with data:
P(A∩B) = 0.6*0.25 = 0.15
Answer:
B. The probability of buying bread and cheese is 0.15
Step-byThe probability if -step explanation:
ap3x
During a rain shower, Jeanette collects 42 1 2 gallons of water in a rain barrel outside her home. She uses 1 1 4 gallons to water plants inside her house. Then, she uses 1 2 of the remaining water to wash a load of dirty laundry. How many gallons of water does Jeanette use to wash her laundry?
Answer:
492 gallons
Step-by-step explanation:
Total gallons of water collected = 4212
Gallons used for watering of plants = 114
Remaining gallons = 4212 - 114
= 4098
She uses 12% of the remaining water to was her laundry.
So that, gallons of water used to wash her laundry = 12% of 4098
= [tex]\frac{12}{100}[/tex] × 4098
= 491.76
≅ 492
She uses 492 gallons to wash her laundry.