Rewrite the equation for y:
17 + 3y = 7x
Subtract 17 from both sides:
3y = 7x -17
Divide both sides by 3:
y = 7/3x -17/3
The slope is the number in front of x which is 7/3
The slope is 7/3
Answer:
7/3
Step-by-step explanation:
Hope this helps.
Share 1 km in the ratio 2:3
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 432 gram setting. It is believed that the machine is underfilling the bags. A 29 bag sample had a mean of 425 grams with a standard deviation of 26. Assume the population is normally distributed. A level of significance of 0.02 will be used. Find the P-value of the test statistic. You may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.
Answer:
-2.154
Step-by-step explanation:
We are given;
Population mean; μ = 432
Sample mean; x¯ = 425
Sample size; n = 29
standard deviation; σ = 26
Hypothesis is defined as;
Null hypothesis; H0: μ ≥ 432
Alternative hypothesis: Ha: μ < 432
Formula for the test statistic since sample size is less than 30 is;
t = (x¯ - μ)/(σ/√n)
Plugging in the relevant values;
t = (425 - 432)/(26/√29)
t = -1.45
Now,we are given significance level of 0.02; our DF = n - 1 = 29 - 1 = 28
From t-table attached, we can see that at DF of 28 and significance value of 0.02, the critical value is 2.154
However, this is a left tailed test as the rejection region is to the left.
Thus, the critical value of a left tailed test is negative. Thus, in this case our critical value will be -2.154
lim f(x)
X —>6
I have zero clue what I’m doing at all
z
X
Y
34°
28
Х
Plz help
9514 1404 393
Answer:
2. x ≈ 17.74
3. x ≈ 16.64
Step-by-step explanation:
The tangent function relates an angle to the opposite and adjacent sides of a right triangle:
Tan = Opposite/Adjacent
Here, we're looking for the measure of the side opposite the angle, so we can rearrange this relation to ...
Opposite = Adjacent×Tan
__
2. x = 32×tan(29°) ≈ 17.74
3. x = 13×tan(52°) ≈ 16.64
_____
Hopefully, we've given enough decimal places so that you can round to the precision you need.
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a red marble is 8/9.
There are 63 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
If the probability of picking a red marble out of the total 63 is 8/9, then it's reasonable to think that 8/9 of the total number of marbles must be red. So there are likely 8/9 × 63 = 56 red marbles in the bag.
please help me with this question!
(Yes that's the full question)
Answer:
The slope is 4/9
Step-by-step explanation:
-9/4 changes to 4/9 as the slope to be perpendicular.
Answer:
4/9
Step-by-step explanation:
The Stem-and-Leaf Plot shows the distance traveled by Rob's family, in miles per day, to reach their holiday destination. What is the mean for this data?
A. 65 mi. per day
B. 61 mi. per day
C. 68 mi. per day
D. 55 mi. per day
Answer:61
Step-by-step explanation: Just took test
What is a translation
Answer:
A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.
Step-by-step explanation:
Answer:
A translation is converting another language into English
Step-by-step explanation:
The Wilson family's newborn baby weighs 88 ounces. Choose the numbers to show the baby's weight in pounds and ounces.
Answer:
5.5 pounds
Step-by-step explanation:
There are 9 players per team. Find the number of players on 7 teams
I really need help with this problem
11. Chris and 3 friends went out to dinner at their favorite restaurant. They decided to split the bill and
tip equally. If the bill was $80 and they decided to leave a 25% tip, how much would each person pay?
A. $25.00
B. $100.00
C. $60.00
D. $20.00
Answer:
your answer is D. $20.00
Find the value of x for the right triangle.
Answer:
x= 4.5
Step-by-step explanation:
Please see the attached picture for the full solution.
Choose a value for dilation to place triangle ABC on top
of triangle DEF.
Describe how the triangle moves when it is dilated.
O The triangle changes size, but not shape.
The triangle changes shape.
O The triangle flips upside down.
O The triangle completes a full turn.
Dilation
Answer:
a
Step-by-step explanation:
The required, the triangle changes size, but not shape. Option A is correct.
Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.
Here,
A dilation to place triangle ABC on top of triangle DE is the triangle changes size, but not shape. Because it is necessary property of dilation. Since dilation only helps to scale the figure. In the question it is mention that shifting of triangle through dilation there is why triangle must be scale to shift over one another
Thus, the required, the triangle changes size, but not shape. Option A is correct.
Learn more about transformation here: https://brainly.com/question/18065245
#SPJ6
creating a diagram so far this session a team has won 51 out of 68 games identify the value of a b c and d that complete the bar diagram for the situation
Answer:
a = 25
b = 100
c = 17
d = 68
Step-by-step explanation:
Can someone help me?
Answer:
Step-by-step explanation:
Because these two triangles are isoceles triangles, two angles are the same, which in this case would be 78. 78 times 2 would give us 156 for the right triangle, but since 180 - 156 does not equal 16, they are not similar nor congruent.
Marcus and his dad were going camping. When they went into the garage to get their tent they noticed it was ripped. Marcus’s dad said he could fix the tent. He would buy some new material to cover the one rectangular side that ripped.
Answer:
he needs 55 to cover the one rectangular side of the tent with the rip
one rectangular side=55
If Marcus’s dad wanted to re-cover the whole tent including the bottom, he would need 189.
3 rectangular sides=165
2 triangular sides=24
165+24=189
Step-by-step explanation:
I will give brainiest to whoever answers correctly !!
Answer:
Step-by-step explanation:
a) The interest generated over the 9 months is how much the woman paid for use of the money, then:
[tex]I=C.t.i\\C=3000\\t=9\\i=3.5%=0.035\\I=3000.9.0.035=945\\I=945[/tex]
Therefore , the woman paid $945 for the use of the money.
b) The total amount that she repaid the bank is:
[tex]C_{t} =C+I=3000+945=3945\\C_{t} =3945[/tex]
Finally we have that the woman paid $3945 to the bank
PLEASE MARK ME AS BRAINLIEST
Which of the following is equivalent to 3(y - 1+ 2y)?
A 6у - 3
B 9y - 3
C Зу – 3
D Зу - 9
Answer:
b
Step-by-step explanation:
[character limit pass]
Please help me with this question
Answer:
A
Step-by-step explanation:
2 (1+n)= - 1n
3 2
2+2n = - n/2
3
2(2+2n) = - 3n
4+4n = - 3n
4 = - 3n - 4n
4= - 7n
n = - 4
7
Original price is $56. Discount is 25%. what is the sales price
Answer:
Sale Price = $42 (answer). This means the cost of the item to you is $42. You will pay $42 for a item with original price of $56 when discounted 25%. In this example, if you buy an item at $56 with 25% discount, you will pay 56 - 14 = 42 dollars.
Step-by-step explanation:
Answer:
$42
Step-by-step explanation:
The original price is $56.
The discount is 25% off.
To solve the equation, turn 25 into a decimal. The you multiply it by 56.
25 to a decimal = 0.25
56 * 0.25 = 14
The answer is 14. That means the thing that is being bought is $14 off.
So, you have to subtract 56 and 14.
56 - 14 = 42
A base angle of an isosceles triangle is 27 degrees. What is the measure, in degrees of the vertex angle?
Answer:
vertex angle is 126°
Step-by-step explanation:
two base angles are 27° which equals 54°
since there are 180° inside a triangle the vertex angle is 180 - 54
Simon has a bag of candy that he is sharing with 4 friends. If Simon and his friends each got at least 30 pieces of candy, what was the minimum amount of candy in the bag?
Answer:
Step-by-step explanation:
the minimum amount is
5*30=150 pieces,
we have Simon plus 4 friends
What is the simple interest paid to the nearest cent for each principal interest rate and time $1,000, 5%, 2 years
Step-by-step explanation:
SI=prt
p=1000
r=0.05
t=2
SI=1000×0.05×2
SI=100
The simple interest paid to the nearest cent for each principal interest rate and time $1,000, 5%, 2 years is $100.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.
Simple Interest = (Principal × Rate × Time) / 100
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
Given;
principle= $1000
rate= 5%
time= 2years
Substitute the given values in the formula;
Simple Interest =(1000×5×2)/100
= 10000/100
Simple Interest will be $100
Learn more about simple interest here;
https://brainly.com/question/1548909
#SPJ5
what is the answer to this word equation? h +(2h - 1000) = 4400
Answer:
h+2h−1000=4400
Step 1: Simplify both sides of the equation.
h+2h−1000=4400
h+2h+−1000=4400
(h+2h)+(−1000)=4400(Combine Like Terms)
3h+−1000=4400
3h−1000=4400
Step 2: Add 1000 to both sides.
3h−1000+1000=4400+1000
3h=5400
Step 3: Divide both sides by 3.
3h3=54003
h=1800
Answer:
h=1800
Answer:
h = 1800
Step-by-step explanation:
Equations
Solve the following equation:
h + (2h - 1000) = 4400
Remove the parentheses. No changes are done because it doesn't have any operation of multiplication or division:
h + 2h - 1000 = 4400
Joining like terms on the left side:
3h - 1000 = 4400
Adding 1000:
3h = 5400
Dividing by 3:
h = 5400/3 = 1800
h = 1800
1. If two polygons are SIMILAR, then the corresponding angles must be _____.
2. If two polygons are SIMILAR, then the corresponding sides must be _____.
3. The composition of two (or more) isometries is always ______
4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
5. A right triangle has a base of 5 ft and a height of 12 ft. A similar triangle has an area of 270 square feet. What are the dimensions of a similar triangle?
Answer:
1. If two polygons are SIMILAR, then the corresponding angles must be are congruent and corresponding sides are proportional
2.If two polygons are SIMILAR, then the corresponding sides must be proportional
3.The composition of two (or more) isometries is always an isometry
4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
3
Step-by-step explanation:
two polygons are similar if corresponding angles are congruent and corresponding sides are proportional
If two polygons are SIMILAR, then the corresponding sides must be proportional
The composition of two (or more) isometries is always an isometry
4. A rectangle has a length of 9 mm. A similar rectangle is drawn using a scale of 1:3. What is the length of the second rectangle?
9/1 = 1/3 so 9/3 = 3
when katilyn went to bed, the temperature was 36^F. when she woke up the next morning, the temperature was -9^F.
Answer:
it decreased by 45 degrees f
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The change in temperature.
= Final temperature - Initial temperature
The change in temperature is -45°F
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The temperature at the time of bed.
Initial temperature = 36° F
The temperature when she woke up.
Final temperature = -9° F
The change in temperature.
= Final temperature - Initial temperature
= -9 - 36
= 45°F
This means that there was a change of 45°F from the time when she went to bed till the time she woke up.
Thus,
The change in temperature is -45°F
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Can please help me find the slope
Answer:-3
Step-by-step explanation:
Help plz:)))I’ll mark u Brainliest
Answer:
The answer to the question provided is Grace.
Step-by-step explanation:
The angle measure for 60 degrees and its corresponding side which measures 14 is greater than the measure of 50 degrees and its corresponding side which measures 12.4. That's correct. The reason Hector was incorrect is because the angle measure for 60 degrees and its corresponding side measured 12.4 was less than the measure of 50 degrees and its corresponding side that measured 14. 60 degrees is greater than 50 degrees, then the corresponding side for the angle that measures 60 degrees should be greater than the corresponding side for the angle that measures 50 degrees.
Find the measure of angle x in the figure below: (5 points)
х
у
(55)
950
ООС
55°
30
850
Answer:
95
Step-by-step explanation:
55+30=85
The three angles together will equal 180 so 180-85=95. That would give you y. Y and X and vertical angles and since vertical angles are congruent and y=95 X has to also equal 95
