Answer:
15 is the constant
Step-by-step explanation:
Does not have a variable next to it which means it remains a constant
Write an equation, in standard form, using the following given info: M = 10
and it passes through the point (6,2) *
-10x + y = -58
-10x + y = 58. -10x - y = -58
10x + y = -58
Given:
m = 10
The line passes through the point (6,2).
To find:
The equation of line in the standard form.
Solution:
If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
The line passes through the point (6,2) and m = 10. So, the equation of line is
[tex]y-2=10(x-6)[/tex]
[tex]y-2=10x-60[/tex]
[tex]y-10x=-60+2[/tex]
[tex]-10x+y=-58[/tex]
Therefore, the correct option is A.
What is 0.38 as a percent
Answer:
38%
Step-by-step explanation:
Louis invested £2950 in a savings account for 5 years.
He was paid 1.9% per annum compound interest for each of the first 4 years.
He was then paid R% interest for the fifth year.
Louis had £3257 in his savings account at the end of the 5 years.
Work out the value of R.
Give your answer correct to 1 decimal place.
Answer:
2.4%
Step-by-step explanation:
The value of R is, 2.4%
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
Louis invested £2950 in a savings account for 5 years.
He was paid 1.9% per annum compound interest for each of the first 4 years.
And, He was then paid R% interest for the fifth year.
Louis had £3257 in his savings account at the end of the 5 years.
Here, We know that;
⇒ Compound interest formula = Capital × (1 + r%) ⁿ
Where, n is time in years.
So, We can formulate;
⇒ £2950 × (1 + 0.019)⁴
⇒ £3180.67
And, For calculate R;
⇒ £3180.67 × (1 + R%)⁵ = £3257
⇒ R = 2.4%
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Lionel has at most 63/8 cups of flour to bake cookies and a cake. Lionel uses 7/4 cups of flour to make the cake. If each batch of cookies takes 3/2 cups of flour, how many batches of cookies, x, can Lionel bake? Select the inequality that includes the maximum number of batches of cookies Lionel can bake.
A. x⊇49/8
B. 49/8⊆x
C. 49/12⊆x
D. x⊇49/12
Answer:
x ≤ 49 / 12
Step-by-step explanation:
Total cups of flour = 63 /8
Cake = 7/4 cups
Cookies = 3/2 cups per batch
Flour left after baking cake :
63/8 - 7/4
(63 - 14) / 8
49 / 8
Batch of cookies which can be baked, x
Flour left / cups of flour per batch of cookies
x ≤(49 / 8) ÷ (3 / 2)
x ≤ (49 /8) * 2/3
x ≤ 98 / 24
x ≤ 49 / 12
Yasmine is having a birthday party. Five people are sharing 34's of a pizza. What portion of the whole pizza will each person receive?
Answer:
3/20
Step-by-step explanation:
Given that :
Share for 5 persons = 3/4 of a whole pizza
Each person gets an equal size of the share :
Hence, share per person :
Portion of pizza / number of persons
3/4 ÷ 5
3/4 * 1/5
= (3*1) / (4*5)
= 3/20
A scientist wants to know if the color of the water affects how much animals drink. The average amount of water each animal drinks was recorded in milliliters for a week and then graphed. Is there evidence to suggest an association between water color and animal?
Answer:
Yes, there is very clear evidence to suggest or show a correlation between
watercolour and each animal's response to the water as well as their total responses.
Explanation
When the water was blue, the total water consumed by both animals came to 1410 ml. The dog consumed more water than the cat. The dog drank 1200 ml while the cat drank just 410 ml.
When the color of the water was changed to green, the animals drank a total of 1300 ml. The cat drank 200 ml while the dog drank 1100 ml.
We can thus, establish that there is an association between the color of the water and the volume of water taken by each animal because on the whole, both animals seem to prefer blue water. They drank more water when its color was blue and less when it was red.
Please see the attached document.
Cheers
Which expressions are equivalent to this exponential expression?
What is the height (one of the legs) and the hypotenuse of an isosceles right triangle that has an area of 800 square feet?
Answer:
14
√
2
=
7
√
2
Step-by-step explanation:
An isosceles right triangle is a right triangle with two legs equal in length and has angles of
45
∘
−
45
∘
−
90
∘
.
By Pythagorean Theorem, we know that,
hypotenuse
c
2
=
a
2
+
a
2
,
⇒
c
=
a
√
2
where
c
is the hypotenuse and
a
is the leg.
So for an isosceles right triangle with side length
a
, the hypotenuse has a length of
a
√
2
.
Similarly, if the hypotenuse of an isosceles right triangle has length of
a
, the legs have a length of
a
√
2
or
a
√
2
2
each.
Given that the hypotenuse of the isosceles right triangle
=
14
,
⇒
the length of each leg
=
14
√
2
=
7
√
2
Check :
(
7
√
2
)
2
+
(
7
√
2
)
2
=
196
=
14
2
(OK)
The height (one of the legs) and the hypotenuse of an isosceles right triangle are 40 feet and 40√2 feet, respectively.
What is Pythagoras theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given:
The triangle is an isosceles right triangle.
That means, the triangle has two equal sides.
Let, base b = height h.
The area of the triangle = 1/2 x base x height.
800 = (1/2)b²
b² = 1600
b = 40 feet.
Now, using the Pythagoras theorem,
Hypotenuse = √(1600 + 1600)
Hypotenuse = √(3200)
Hypotenuse = 40√2 feet.
Therefore, height = 40 feet and hypotenuse = 40√2 feet.
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At Burger Haven, 11 of the last 44 customers wanted cheese on their burgers. Considering this data, how many of the next 256 customers would you expect to want cheese?
Answer:
64
Step-by-step explanation:
11 out of 44 = 25%
11 ÷ 44 = 0.25 = 25%
25% × 256 = 64
What's the diffrence between an Arithmatic sequence and a Geometric sequence?
Answer:
An arithmetic sequence has a constant difference between each term.
A geometric sequence has a constant ratio.
Suppose one batch of cookies requires ⅔ cup of flour. How many batches can be made with 4 cups of flour?
Answer:
6 batches
Step-by-step explanation:
Answer:
the answer is 8/3 u have to mutplay
Step-by-step explanation:
James wants to buy a house.
The price of the house is a quarter of a million pounds.
James has to pay a deposit for the house.
The deposit is 15% of the price of the house.
James already has part of the deposit.
He has £32 000
(a) How much more money does James need for the deposit?
Answer:
27,200
Step-by-step explanation:
15% of 32,000 pounds is 4,800. Just subtracting them will end you with 27,200.
A sweater is on sale for 12% off. The sale price is $44.00. What is the original amount of the sweater?
==================================================
Work Shown:
x = original price
y = sale price
d = discount = amount saved
d = 12% of x = 0.12x
y = x - d = x - 0.12x = 0.88x
Note how 0.88 = 88%, and this represents the percentage you have to pay if you get 12% off.
We're told the sale price is y = 44, so this leads to...
y = 0.88x
44 = 0.88x
0.88x = 44
x = 44/0.88
x = 50
The original price was $50
---------------------
Check:
If the original price was $50, then the amount you save is 0.12*50 = 6 dollars, which is the discount.
The sale price is 50-6 = 44 dollars which matches up with what your teacher gave you. The answer is confirmed.
3/5 of the students in a classroom are girls if there are 10 boys in the class about how many total students are there
Answer:
25
Step-by-step explanation:
25 students total.
3/5 = 15 (Girls)
2/5 = 10 (Boys)
Answer:
25 students in total..........
Function g can be thought of as a translation (shifted) version of f(x)=x^2
What is the equation for g (x).?? PLEASE HELP ASAP
Answer:
(x+5)²
Step-by-step explanation:
To solve this we just need to shift the graph 5 spots to the left
to do this we need to add 5 to the x
(x+5)²
Find the equation of the line shown
pls help
Answer:
y= 1/2x+ 0
or:
y= 1/2x+ 0
Step-by-step explanation:
i need help with the last questions I posted
2. A plastic smartphone case is roughly rectangular and measures 6 in. by 3 in. The back side of
the case has two sections cut out: a l in. by 0.5 in. rectangle for the camera and a triangle that
is 1.5 in. wide and 1.5 in. tall so that the brand logo on the phone is visible when it is in the
case. What is the approximate area of the plastic on the phone?
15.25 in.2
0 16.375 in.2
019.625 in 2
20.75 in 2
Answer:
ITs 16.375 in.2
Step-by-step explanation:
If your in connections and you have Lesson 4: Area of Other Figures
Math 7 B Unit 3: Measurement the whole quick check answers are
1. D. 40.5cm2
2. B. 16.375 in.2
3. B 540cm2
4. C 460
Your welcome also I swear these are right!
which system of equations has one solution
-5x - 10y = 24
Answer:
x=24/5+2y
Step-by-step explanation:
isolate one of the variables
Rebeckah answered 42 of 60 questions on the test. Which method should she use to find the percent of questions answered correctly
Select all the expressions that are equivalent to -90x+60.
A:-10(9x-6)
B:10(-9x+6)
C:30(-3x+2)
D:-10(9x+6)
E:-30(-3x+2)
Answer:A, B and C
Step-by-step explanation:
Select all the systems of equations that have exactly
one solution.
y = 3x + 1
y =− 3x + 7
y = 3x + 1
y = x + 1
y = 3x + 1
y = 3x + 7
y =− x + 10
y =− 1x + 10
y =− x + 10
y =− x + 12
Answer:
a, c
Step-by-step explanation:
because they have the same equations
Write an equation for the line shown in the graph.
A. 10=4x
B. y=2x+10
C. y=10x-2
D. y= -x+10
Answer:
D
Step-by-step explanation:
The equation for the line shown in the graph will be y = - x + 10. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
From the equation, the y-intercept is 10. Then the equation is given as,
y = mx + 10
From the graph, the line is passing through (2, 8). Then the slope is given as,
8 = m(2) + 10
8 = 2m + 10
- 2 = 2m
m = - 1
The equation for the line shown in the graph will be y = - x + 10. Then the correct option is D.
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The radius of a circle is 3.5 m. Find the circumference to the nearest tenth.
Answer:
21.99 but you have to round it
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
yes
5.-Exprese como fracciones ,lo siguiente: a) Los 4 meses del año b) Un día de la semana c) Las tres provincias de la región Costa ecuatoriana
Answer:
Step-by-step explanation:
Expresar lo siguiente como fracciones.
a) Los 4 meses del año
Hay 12 meses en un año. Entonces, la fracción de 4 meses de 12 meses en un año es:
= 4/12
= 1/3
b) Un día de la semana
Hay 7 días en una semana.
Así, la fracción de 1 día en una semana será:
= 1/7
c) Las tres provincias de la región Costa ecuatoriana
En la región de la Costa Ecuatoriana, hay cinco provincias presentes.
Ahora, la fracción de tres provincias del total de cinco provincias de la región de la Costa Ecuatoriana será:
= 3/5
What is 44 to the second power?
Answer:
1936
Step-by-step explanation:
You would have to multiply 44 by itsself 2 times
44 x 44 =
1,936
Example:
55 to the third power
Multiply 55 3 times since its to the 3rd power
55 x 55 x 55 =
166375
16 cm 44.2 cm in percent
PLSS HELP!!
Is the function even,odd, or neither
Answer:
even :D
Step-by-step explanation: :D
Lucas jogged 1/3 mile in 4 minutes. He divided to find how far he jogged per minute, but he made a mistake. Which reason explains why his answer might be wrong?
Answer:
jndcxiaojdncijadmcijwmqdijxcmc
Step-by-step explanation:
A possible error is (c) C.12×4 does not equal 13.
How to determine why he might be wrongFrom the question, we have the following parameters that can be used in our computation:
Rate = 1/3 miles in 4 minutes
When converted to unit rate, we have
Rate = 1/3 miles/4 minutes
Evaluate the quotient
So, we have
Rate = 1/12 miles per minute
This means that a possible error is (c) C.12×4 does not equal 13.
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Question
Lucas jogged 13 mile in 4 minutes. He divided to find how far he jogged per minute, but he made a mistake. Which reason explains why his answer might be wrong?
A.There are more than 12 equal parts in 13 of a whole.
B.When 13 of a whole is split into equal parts, each part is greater than 13.
C.12×4 does not equal 13.
D.The answer must be a whole number.
A number divided by —4 is —13. pls help<3
Answer:
[tex]\frac{n}{-4} =-13: n = 52[/tex]
Step-by-step explanation:
[tex]\frac{n}{-4} =-13: n = 52[/tex]
An easy way to find out is by plugging the variable with a constant such as 2