Kate used 555 grams of wool to knit a sweater, a hat and a scarf. She used 5 times less grams for the hat than for the sweater. She used 5 grams more for the hat than for the scarf. How many grams of wool did she use to knit each item?


Watermelon A is 2 kg lighter than watermelon B and 5 times lighter than watermelon C. Watermelons A and C together are 3 times heavier than watermelon B. Find the weight of each watermelon.


Please solve both

Answers

Answer 1

For sweater = 420 gm of wool  , for hat = 70 gm of wool  , and for scarf = 65 gm of wool were used.

The weight of each watermelon is 2 kg , 4 kg , and 10 kg


Related Questions

anyone get this geom?

Answers

Answer:

The answer is A.

Step-by-step explanation:

We know two sides, and one angle of the corresponding side. Thus, we can use the Law of Sines to find the last angle.

The Law of Sines:

[tex]\frac{sin(A)}{A}=\frac{sin(B)}{B}= \frac{sin(C)}{C}[/tex]

Plug in what we know:

[tex]\frac{sin(38)}{70} =\frac{sin(C)}{108}[/tex]

Cross multiply:

[tex]70sin(C)=108sin(38)[/tex]

[tex]sin(C)=\frac{108sin(38)}{70}[/tex]

[tex]C=arcsin(\frac{54sin(38)}{35} )[/tex]

[tex]C \approx 71.7827[/tex]

PUZZLED HELP! If I solve an equation, get the answer, but when I do a" check step", does it mean that I have to solve the equation again? Example: 3(x – 1) + 2x = 6x is equaled to -3, but when I checked it the answer was false...-16=-18 (false)

Answers

When you check it, you are solving but with a different strategy

Answer:

If it's wrong then yes you should try to solve the equation again if not then you should be fine to just move on

What is the percent of 3.16 to 3.70

Answers

Answer:

85.4054%

Step-by-step explanation:

3.16/3.7 × 100

Divide.

0.854054 × 100

Multiply.

= 85.4054

Triangle J K L is shown. Point N is the midpoint of side J L and point M is the midpoint of side K L. The length of J K is 19.6 meters. The lengths of J N and N L are 7.4 meters. The lengths of K M and M L are 10.7 meters. What is the distance between points M and N?

Answers

Answer:

i think 9.8 but im not sure

Step-by-step explanation:

The distance between points M and N is; 9.8 meters.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

From observation, it is given that the line segment MN which joins points M and N is parallel to the line JK. which follows from the fact that M and N are midpoints of KL and JL respectively.

Hence, it states that triangles NLM and JLK are congruent and by the ratio of corresponding sides equality:

NM/19.6 = 7.4/(2×7.4)

Solving;

NM = 19.6/2

NM=  9.8 meters.

This follows that, the ratio of corresponding sides of congruent triangles are equal.

The distance between points M and N is; 9.8 meters.

Read more on congruent triangles;

brainly.com/question/1675117

#SPJ6

0.000000205
In standard form

Answers

Answer:

2.05 × 10⁷

Step-by-step explanation:

0.000000205

We'll move the decimal point after the first non-zero digit (as per the scientific notation rules) and the standard form would be :

=> 2.05 × 10⁷

Answer:

205 × [tex]10^{-9}[/tex]

Step-by-step explanation:

[tex]10^{-9} = 0.000000001[/tex]

0.000000001 × 205 = 0.000000205

What is the total volume of snow used to make the snowman if the head is 12 inches wide, the middle is 16 inches wide,and the bottom is 18 inches wide

Answers

Answer:

726.65 cubic inches

Step-by-step explanation:

We are going to assume that the head, middle and bottom are spheres.

The formula to get the volume of a sphere is

[tex]V= \frac{4}{3}\pi r^{2}[/tex] where r is the radius of the sphere.

Now, let's proceed to apply this formula to the 3 spheres of the snowman:

The head is 12 inches wide (diameter), thus, the radius would be 6 inches:

[tex]V= \frac{4}{3}\pi r^{2}\\V= \frac{4}{3}\pi 6^{2}\\V= \frac{4}{3}\pi 36\\V=\frac{144\pi }{3} \\V=38\pi[/tex] cubic inches

The middle is 16 inches wide (diameter), thus, the radius would be 8 inches.

[tex]V= \frac{4}{3}\pi r^{2}\\V= \frac{4}{3}\pi 8^{2}\\V= \frac{4}{3}\pi 64\\V=\frac{256\pi }{3} \\V=85.3\pi[/tex]  cubic inches

The bottom is 18 inches wide (diameter), thus the radius would be 9 inches.

[tex]V= \frac{4}{3}\pi r^{2}\\V= \frac{4}{3}\pi 9^{2}\\V= \frac{4}{3}\pi 81\\V=\frac{324\pi }{3} \\V=108\pi[/tex] cubic inches.

Now, to get the total volume of the snowman we're going to sum up the volume of all three spheres:

Total volume = [tex]38\pi +85.3\pi +108\pi =231.3\pi[/tex] cubic inches.

If we take pi = 3.1416,

Total volume = [tex]231.3(3.1416)=726.65[/tex] cubic inches.

Allie has 10.25 in quarters and dimes.. how many dimes does she have

Answers

Answer:

(Depending on the available answers) Allie has 37 quarters and 10 dimes.

Step-by-step explanation:

37 quarters add up to $9.25 (37 x 0.25 = 9.25). 10 dimes add up to $1 (10 x 0.10 = 1). 37 quarters and 10 dimes add up to $10.25. There are other ways you can divide $10.25 into quarters and dimes (such as 21 quarters and 50 dimes) but this is just one of them. I hope this helped, good luck on your test/work!

What's the answer to the second box?

Answers

Answer:

y=3x

Step-by-step explanation:

multiply bot sides by x

y/x=3/1

3x=y

y=3x
bc you have to multiply both sides by x

What is an equation in point-slope form of the line that passes through (1, -6) and (4, 6)?

Answers

Answer:

[tex]y+6=4(x-1)[/tex] or [tex]y-6=4(x-4)[/tex]

Step-by-step explanation:

We want to find the equation in point-slope form of the line that passes through the two points (1, -6) and (4, 6).

Recall that point-slope form is given by:

[tex]y-y_{1}=m(x-x_{1})[/tex]

Where m is the slope.

Find the slope m using the two given points.

[tex]\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{6-(-6)}{4-1} = \frac{12}{3} = 4[/tex]

Substitute. We can use either point. Using the point (1, -6), we acquire:

[tex]y-(-6)=4(x-(1))[/tex]

Simplify:

[tex]y+6=4(x-1)[/tex]

And using the point (4, 6), we acquire:

[tex]y-(6)=4(x-(4))[/tex]

Simplify:

[tex]y-6=4(x-4)[/tex]

For every pound a company spends on advertising, it spends £0.75 on its website. Express the amount spent on advertising to the amount spent on its website as a ratio in its simplest form.

Answers

Answer:

the ration to the money spend on ads to website is 4:3

The amount spent on advertising to the amount spent on its website as a ratio in its simplest form is: 4: 3

Given that:

For every pound, the company spends on advertising i.e. £1the company spends £0.75 on its website.

Thus, the ratio of the amount spent on the advertising and the website is computed as:

£1: £ 0.75

Since a ratio can be expressed in a fraction when solving to its simplest form, then we have:

[tex]\mathbf{\dfrac{1}{0.75}}[/tex]

Let's multiply both the numerator and the denominator by 100 to shift the decimal in two places in 0.75

Then, we have:

[tex]\mathbf{=\dfrac{1\times 100}{0.75 \times 100}}[/tex]

[tex]\mathbf{=\dfrac{ 100}{75 }}[/tex]

Divide both sides by 5;

[tex]\mathbf{=\dfrac{ 20}{15 }}[/tex]

Divide both sides by 5;

[tex]\mathbf{\dfrac{4}{3}}[/tex]

Therefore, the amount spent on advertising to the amount spent on its website in ratio is 4:3

Learn more about ratio here:

https://brainly.com/question/25343092?referrer=searchResults

my brain hurting can u help

Answers

I’m pretty sure it is correct but I’m not 100% sure does this help?

Which of the following represents a constant from the expression given ?

Answers

Answer:

The answer in D.

Step-by-step explanation:

In a quadratic expression, ax² + bx + c, c will be the constant.

Answer:

the asnwer is 9

Step-by-step explanation:

The diagram shows the cross section of a solid metal prism of height 32
cm.
AD = 8.7 cm, AC = 8cm, AB = 6.4cm, BC = 4.8cm and CD = 3.3cm.
Find the volume of the prism in cm3
Type each step of your working on a separate line

Answers

Answer:

need this !

Step-by-step explanation:

This figure is made up of a triangle and a semicircle. What is the area of this figure? Use 3.14 for pi. Round only your final answer to the nearest tenth. Enter your answer, as a decimal, in the box

Answers

Answer:

Area = 14.8 units²

Step-by-step explanation:

Base of Triangle = 2 units

Height of Triangle = 5 units

Radius of the semi circle = 2.5 units

Now,

Triangle:

Area of triangle = 1/2(base*height)

Area = 1/2(2*5)

Area = 1/2(10)

Area = 5 units²

Semi-Circle:

Area of semi-circle = 1/2(πr²)

Area = 1/2(3.14)(2.5)²

Area = 1/2(3.14)(6.25)

Area = 9.8 units²

Area of the figure:

Area = 5 + 9.8

Area = 14.8 units²

if BPD and dpc have a sum
of 72 degrees What is APC?



A. 18°
B 90°
D.180°​

Answers

The correct answer is : 108

Vanya, a newborn going through a growth spurt, grew out of an average of 250 socks per month from January to March, inclusive. He grew out of an average of 300 socks per month in April and May. Find the average amount of socks Vanya grew out of during the 5 months.

Answers

Answer:

270 socks/month over 5 months

Step-by-step explanation:

To calculate this total number of outgrown socks, we multiply (250 socks/mo) by 3 months (Jan., Feb. and Mar.) and then (300 socks/month) by 2 months (Apr., May):

Total average number of socks per month:

Total number of socks / number of months:

3(250) + 2(300)     socks

----------------------- * ----------- = 270 socks/month over 5 months

        5                       mo

Factorise the following quadratic equations ​

Answers

Answer:

see explanation

Step-by-step explanation:

In 13 - 17

Consider the factors of the constant term which sum to give the coefficient of the x- term

13

x² - x - 42 = (x - 7)(x + 6)

15

x² + x - 6 = (x + 3)(x - 2)

17

x² - 27x + 50 = (x - 25)(x - 2)

19

r² - 25 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , thus

r² - 25

= r² - 5² = (r - 5)(r + 5)

1. (x+6)(x-7)

2. (x+3)(x-2)

3. (x-2)(x-25)

4. (x-5)(x+5)

I hope it helps

The dot plot shows the number of pets owned by the students in jay of class

Answers

Answer:

where is the graph ?

factorize
[tex]9 - 4 {m}^{2} [/tex]
in algebra expression... ​

Answers

Answer:

(3+2m)(3-2m)

Step-by-step explanation:

(3+2m)(3-2m)

A​ thirty-five ounce bottle of Pedialyte contains​ 2,500 mg of dextrose. If a child drinks 7 ounces straight from the​ bottle, how many mg of dextrose will he​ consume?

Answers

Answer:

500 mg

Step-by-step explanation:

amount of dextrose in  35 ounce Pedialyte = 2500 mg

dividing LHS and RHS by 35

amount of dextrose in  35/35 ounce Pedialyte = 2500 /35 mg = 500/7 mg

Thus,

amount of dextrose in  1 ounce Pedialyte = 500 /7 mg

since we have to find amount of dextrose in  7 ounce Pedialyte

we multiply LHS and RHS by 7

Thus,

amount of dextrose in  1 *7 ounce Pedialyte = 500 /7 * 7 mg = 500 mg

amount of dextrose in  7 ounce Pedialyte = 500 mg

Thus, As child consumed 7 ounces of Pedialyte, He consumed 500 mg of dextrose.

find the total surface area of this triangular prism

Answers

Answer:

144 cm²

Step-by-step explanation:

There are five total sides to the triangular prism. The formula for the area of a rectangle is length · width. The formula for the area of a triangle is 1/2 base · height.

10 · 4 = 40

6 · 4 = 24

8 · 4 = 32

1/2(6 · 8) = 48/2 = 24

1/2(6 · 8) = 48/2 = 24

Add the surface area for each side to get the total surface area.

40 + 24 + 32 + 24 + 24 = 144 cm²

Train left a station at 835 am and arrives at its destination at 312 pm how long did the journey take

Answers

Answer:

5 hours and 50mins

Step-by-step explanation:

8:35 am + 25mins= 9:00am 9:00am+5hours=3:00pm+25mins=3:12pm 25mins+5hours+25mins=5hours and 50 mins

Hope this helps :)

Can anyone help me with this answer:
One of the zeroes of the polynomial 2x2 + 7x –4 is
(A) 2
(B)1/2
(C) -1/2
(D) –2

Answers

Answer:

Option B

Step-by-step explanation:

For this we'll put all of these options in place of x

Number 1:

=> [tex]2(2)^2+7(2)-4[/tex]

=> 2(4)+14-4

=> 8+10

=> 18

So, This is not the zero of the polynomial

Number 2:

=> [tex]2(1/2)^2+7(1/2)-4[/tex]

=> 2(1/4)+7/2-4

=> 1/2+7/2-4

=> [tex]\frac{1+7-8}{2}[/tex]

=> [tex]\frac{8-8}{2}[/tex]

=> 0

Yes, This is the zero of the polynomial having zero as an answer

So, We'll end the solution here because we have found the zero of the polynomial.

Hope this helps :)

Para alavancar seus lucros, o dono de uma empresa passou a investir mais no meio digital, começando pelo seu site. Com base em uma análise de 6 meses, percebeu que, para cada x reais investidos dentro de um mês, a quantidade y de visualizações de seu site obedecia à função F(x)=40x+80 o valor que ele deverá investir, no próximo mês, para que o seu site alcance 35 000 visualizações é?

Answers

Answer:

85.5 reals

Step-by-step explanation:

Aqui, usando a função de análise, queremos saber a quantidade de dinheiro que deve ser investido para fornecer o número de visualizações.

A maneira como podemos resolver isso é através da substituição. Precisamos apenas substituir F (x) na equação e resolver x, o que nos dará a idéia da quantidade de dinheiro a ser investido.

matematicamente

F (x) = 40x + 80

3500 = 40x + 80

40x = 3500-80 40x = 3420 x = 3420/40

x = 85,5 reais

does anyone know this??

complete the solution of the equation. Find the value of y when x equals
-30 -2x - 3y = 42

Answers

Answer: y = 6

Step-by-step explanation:if x = -30 then -2 x = 60 so 60 - 42 = 18 divide that by 3 and you get y.

which system of equations has no sulotion?

Answers

Answer:

Here is the answer ...... Check out it

Step-by-step explanation:

An inconsistent system of equations is a system of equations with no solution. We can determine if our system is inconsistent in three ways: graphing, algebra, and logic. Graphs of an inconsistent system will have no points of intersection.

Hope it helps ☺️ CLICK on ♥️

Factorize the following :- 12y²_20y+3​

Answers

Answer:

[tex]\left(6y-1\right)\left(2y-3\right)[/tex]

Step-by-step explanation:

[tex]12y^2-20y+3[/tex]

-20y can be written as -2y + -18y.

[tex]\left(12y^2-2y\right)+\left(-18y+3\right)[/tex]

Factor out 2y from the first expression and factor out 3 from the second expression.

[tex]2y\left(6y-1\right)-3\left(6y-1\right)[/tex]

Factor out the common term 6y-1.

[tex]\left(6y-1\right)\left(2y-3\right)[/tex]

What is the decimal multiplier to decrease by 60%?

Answers

Answer:

0.4

Step-by-step explanation:

To decrease something by 60% you multiply by 0.4

Answer:

0.4

Step-by-step explanation:

Say you have an object that costs $100.

Now 60% of $100 is $60.

Subtract $60 from $100 and you get $40.

Now $100 × [tex]x[/tex] = $40

[tex]x=0.4[/tex]

$100×0.4=$40

You need to multiply it by 0.4

HELP!!!!!! PLZZZ!!!!!HELPPPP

Answers

Answer:

x=10

Step-by-step explanation:

set it up and solve

2x-1=x+9

2x=x+10

x=10

En una pizzeria se hicieron 8 docenas de pizzas. La tercera parte se vendio en el local y las cinco octavas partes son para enviar a domicilio ¿cuantas pizzas se vendieron en el local? ¿y cuantas pizzas se vendieron a domicilio? ¿que parte de las pizzas quedo sin vender?

Answers

Answer:

32 pizzas

60 pizzas

1/24

Step-by-step explanation:

Se hicieron 8 docenas de pizzas.

Una docena es 12, por lo tanto, el número de pizzas hechas fue:

8 * 12 = 96 pizzas

1/3 se vendieron en el local, esto significa que el número de pizzas vendidas en el local es:

1/3 * 96 = 32 pizzas

5/8 fueron para entrega a domicilio, por lo tanto, el número de pizzas vendidas en casa es:

5/8 * 96 = 60 pizzas

El número total de pizzas vendidas es:

32 + 60 = 92 pizzas

Esto significa que no se vendieron 4 pizzas. En forma de fracción:

4/96 = 1/24

Other Questions
Calculate the area of this trapezium sPoint Q is plotted on the coordinate grid. Point P is at (20, 30). Point R is vertically above point Q. It is at the same distance from point Q as point P is from point Q. Which of these shows the coordinates of point R and its distance from point Q? On a coordinate grid from negative 50 to positive 50 in increments of 10, Point Q is plotted at the ordered pair negative 40, negative 30. Point R is at (40, 30), a distance of 60 units from point Q Point R is at (40, 10), a distance of 20 units from point Q Point R is at (40, 30), a distance of 60 units from point Q Point R is at (40, 10), a distance of 20 units from point Q A homogeneous second-order linear differential equation, two functions y1 and y2 , and a pair of initial conditions are given below. First verify that y1 and y2 are solutions of the differential equation. Then find a particular solution of the form y = c1y1 + c2y2 that satisfies the given initial conditions. y'' + 49y = 0; y1 = cos(7x) y2 = sin(7x); y(0) = 10 y(0)=-4 y(x)=? Describe the buffer capacity of the acetic acid buffer solution in relation to the addition of both concentrated and dilute acids and bases. Which of the following is a run-on sentence? Select one: a. Grinning, Elizabeth listened to her favorite music as she drove to school. b. Zaya wanted a new skateboard, so he saved his allowance for five months. c. Rachel decided to ride her skateboard instead of roller blading. d. Jonah could not sleep he was excited about his new job. A shop advertises 10% off its prices in a sale.A book is 6.30 in the sale.How much was it before the price reduction? An 18-month-old child is brought to the emergency department by his parents who explain that their child swallowed a watch battery. Radiologic studies show that the battery is in the lungs. Which area of lung is the battery most likely to be in? In a recent household telephone survey of 2,550 adults in a certain country, 27% reported that they own at least one gun. The researchers want to estimate the true percentage of adults in that country that own at least one gun. Complete parts a through f below a. Identify the population of interest to the researchers. Choose the correct answer below. a. The set of adults that responded to the survey b. The set of guns in the country c. The set of adults in the country that own a gun (CMD. d. The set of all gun ownership status (yes/no) values for all adults in the country. What is the name of the "local user" account involved in the alleged actions (Hint: where in the file structure did you find the suspect files)? What was the IP address of the alleged offender workstation? Match the key event of meiosis with the stages listed below. I. Prophase I V. Prophase II II. Metaphase I VI. Metaphase II III. Anaphase I VII. Anaphase II IV. Telophase I VIII. Telophase II Homologous chromosomes are aligned at the equator of the spindle.a. IV b. I c. VI d. II The numerator of a rational number is greater than its denominator by 3. If the new number becomes 13/4 when the numerator is tripled and the denominator is decreased by23, find the original number. Please answer need help The compound gallium phosphide () is a compound semiconductor having mixed ionic and covalent bonding. The electronegativities for and are 1.6 and 2.1 respectively. Calculate the fraction of the bonding that is ionic. On September 1, 2021, Southwest Airlines borrows $39.4 million, of which $6.8 million is due next year. Show how Southwest Airlines would record the $39.4 million debt on its December 31, 2021, balance sheet. The sum of two numbers is 264. One number ends with a zero. If this zero is erased, you get the second number. Find these numbers. What is the value of g(9)? Jerry uses an exercise program to help him eventually do 100 push-ups. He started with 17 push-ups in Week 1 and planned to increase the number of push-ups by 2 each week. Show your work. a) In which week does Jerry expect to reach his goal? b) What is the total number of push-ups he will have done when he reaches his goal? A company had service revenue of $257,000, rent expense of $10,700, utility expense of $4,200, salary expense of $19,200, depreciation expense of $9,700, advertising expense of $4,570, dividends in the amount of $18,700, and a beginning balance in retained earnings of $18,600. What is the balance in the income summary account before it is closed for the period Through larger molecules are formed 1.List the three steps of the planning phase of the strategic marketing process. Briefly describe the core elements and the purpose of the three steps. 2.Which demographic cohorts are also known as the Millennial and Z Generations? Describe the interests and lifestyles of each cohort and explain why it is important to marketers. 3.Explain the actions and considerations that relate to the five stages of the consumer purchase decision process.