Consider the following proportion:
2 12
— -—
7 x
Use cross products to write the equation: 2x = 84.
What is the value of x?

Answers

Answer 1
2x = 84 so 2x /2 = 84/= x=42
Answer 2

[tex]\displaystyle\bf 2x=84\\\\x=84:2=42\\\\\boxed{x=42}[/tex]


Related Questions

Can somebody answer this????

Answers

Answer:

x=46

Step-by-step explanation:

Isosceles triangle which means that the bottom two angles are equal. 180 degrees  minus 88=92. Since there are two angles you divide 92/2 which gets 46.

Answer:

D

Step-by-step explanation:

two sides are equal.

so opposite angles are also equal.

x+x+88=180

2x=180-88=92

x=92/2=46°

Which expression can be used to find the difference of the polynomials?

(10m – 6) – (7m – 4)

Answers

Answer:

3m -2

Step-by-step explanation:

(10m – 6) – (7m – 4)

Distribute the minus sign

(10m – 6) – 7m + 4

Combine like terms

3m -2

Water is filling a swimming pool at a constant rate. After 4 hours, 2 inches of water have filled the pool. Write an equation that gives the amount of water, w, after t hours.

Answers

Answer:

Step-by-step explanation:

Inches per hour is the rate we are looking for here, which will then be the slope of the linear equation. Slope is the same thing as the rate of change. While this may not seem all that important right now, it's actually a HUGE concept in higher math, especially calculus!

If the pool is filling at a rate of 2 inches per every 4 hours, then by dividing, we get that the rate is 1 inch every 2 hours, which translates to a slope of 1/2. Creating an equation with this slope:

[tex]w=\frac{1}{2}t[/tex]  Let's check it. We are told that after 4 hours there are 2 inches of water in the pool. That means if we plug in 4 for t and solve for w, we should get w = 2:

[tex]w=\frac{1}{2}(4)[/tex] and

w = 2. So we're good!

plz help me with this

Answers

0

Step-by-step explanation:

maybe

Answer:

1) 0 miles

2) (0,0)

3) the cars speed is missing? 3 * speed would be this answer

4) (3, "3*speed" )  something like (3,30) if car was going 10mph

Step-by-step explanation:

Michele was making tuna salad for a party. The recipe for 10 servings called for 8 oz of mayonnaise. A total of 240 people were expected to be at the brunch. How much mayonnaise would Michele need?

Answers

1. Divide 240 by 10 = 24

2. Multiply 24 • 8 = 192

Michele will need 192 oz. of mayonnaise.

Answer:

192 oz

Step-by-step explanation:

Hi there!

1) Create a proportion

[tex]\frac{8 (oz)}{10(servings)} =\frac{x(mayo)}{240(servings)} \\\frac{8}{10} =\frac{x}{240}[/tex]

2) Solve for x

[tex]\frac{8}{10} =\frac{x}{240}[/tex]

Multiply both sides by 240

[tex]\frac{8}{10} *240=x\\192=x[/tex]

Therefore, Michele would need 192 oz of mayonnaise.

I hope this helps!

Randy walks his dog each morning. he walks 7/12 of a mile in 7 minutes how many miles does he walks in 1 minutes

Answers

Answer:

1/12 mile

Step-by-step explanation:

We can use a ratio to solve

7/12 miles       x miles

---------------- = ---------------

7 minutes       1 minute

Using cross products

7 /12 * 1 = 7x

Divide each side by 7

7/12 * 1/7 = x

1/2 = x

[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]

⠀Randy walks his dog each morning. he walks 7/12 of a mile in 7 minutes ⠀⠀⠀

[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]

⠀how many miles does he walks in 1 minutes⠀⠀⠀

[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]

Randy walks 7/12 miles in 7 minutes

Sooo

He walks in one minutes is

7/12 miles in 7 minutes

one minutes is [tex]\sf{\dfrac{\dfrac{7}{12}}{7} }[/tex]

one minute =[tex]\sf{\dfrac{7}{12}×\dfrac{1}{7} }[/tex]

one minute=[tex]\sf{\dfrac{1}{12} }[/tex]

[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]

Hence,

he walks in 1 minutes is 1/12 miles.

David is paid a salary of $1850 per month. He is also paid time and a half for work in excess of 40 hours a week. He worked 62 hours last week. What is his gross pay?

Answers

Answer:

$1,471.5625

Step-by-step explanation:

Monthly salary = $1850

Weekly salary = $1850/4 weeks

= $462.5

Hourly rate = $462.5/40 hours

= $11.5625

Overwork time = 62 hours - 40 hours

= 22 hours

Time and a half = 1.5 times the normal salary

Overwork time payment per hour = 1.5 × $11.5625

= $17.34375

Overwork time payment for 22 hours = 22 × $17.34375

= $381.5625

Last week salary = weekly salary + overtime payment

= $462.5 + $381.5625

= $84.0625

Gross salary for the month = 3 weeks regular salary + last week salary

= (3 × $462.5) + $84.0625

= $1387.5 + $84.0625

= $1,471.5625

4. Andrés desea embaldosar el piso de su casa que tiene 375 cm de ancho y 435 cm de largo. Calcula la longitud del lado que tendrían las baldosas. ¿Cuántas baldosas colocaría en total?

Answers

Answer:

Sabemos que el piso es un rectángulo de 435 cm de largo y 375 cm de ancho.

Recordar que para un rectángulo de largo L, y ancho W, el área es:

A = L*W

Entonces el área del piso, será:

A = 435cm*375cm = 163,125 cm^2

Primero, sabemos que se utilizaran baldosas (las cuales son cuadradas) y queremos saber la longitud de lado que tendrían las baldosas.

No tenemos ningún criterio para encontrar este lado, solo que (si queremos usar un número entero de baldosas) el largo L del lado de la baldosa deberá ser un divisor de tanto el ancho como el largo del suelo.

Dicho de otra forma

el largo, 435cm, tiene que ser múltiplo de L

el ancho, 375cm, tiene que ser múltiplo de L.

Por ejemplo, ambos números son múltiplos de 5, entonces podríamos tomar L = 5cm

En este caso, el área de cada baldosa es:

a = L^2 = 5cm*5cm = 25cm^2

Y el número total de baldosas que necesitaría usar esta dado por el cociente entre el área del suelo y el area de cada baldosa.

N = ( 163,125 cm^2)/(25cm^2) = 6,525 baldosas.

También sabemos que ambos números (435cm y 375cm) son múltiplos de 15cm

Entonces las baldosas podrían tener 15cm de lado.

En este caso, el área de cada baldosa es:

A = (15cm)^2 = 225cm

En este caso el número total de baldosas necesarias será:

N =  ( 163,125 cm^2)/(225cm^2) = 725 baldosas.

please help answer these!!!!

Jimmy’s family moved to a tropical climate. For the year that followed, he recorded the number of days that had a temperature above 400C each month. His data contained -

14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13 and 8

1) Find the mean for his data set of days that had a temperature above 400C.

2) Find the median for his data set of days that had a temperature above 400C.

3) Find the mode for his data set of days that had a temperature above 400C.

4) If, instead, there are 5 more days per month that had a temperature above 400C, what will be the mean for the data?

5) If, instead, there are 2 more days per month that had a temperature above 400C, what will be the mode for the data?

Answers

Answer:

1) 11.75

2) 11.5

3) 11 and 14

4) 16.75

5) 13, and 16

Step-by-step explanation:

The given data is 14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13, 8

1) The mean, [tex]\overline x[/tex] = (14+14+10+12+11+13+11+11+14+10+13+8)/12 = 11.75

2) The data arranged in increasing order is presented as follows;

8, 10, 10, 11, 11, 11, 12, 13, 13, 14, 14, 14

The count of he data points = 12

The median = The data at the (n + 1)/2 = (12 + 1)/2 = 6.5th position = 11 + (12  11)/2 = 11.5

The median = 11.5

3) The mode of the data set are 11 and 14

4) Where there are 5 more days per month that had a temperature above 40°C, we get;

The mean, [tex]\overline x_1[/tex] = (14+14+10+12+11+13+11+11+14+10+13+8+5×12 )/12 = 16.75 = [tex]\overline x[/tex] + 5

5) Given that there are 2 more days per month that had a temperature above 40°C, we get the days per month with temperatures above 40°C as follows;

8 + 2, 10 + 2, 10 + 2, 11 + 2, 11 + 2, 11 + 2, 12 + 2, 13 + 2, 13 + 2, 14 + 2, 14 + 2, 14 + 2

10, 12, 12, 13, 13, 13, 14, 15, 15, 16, 16, 16

Therefore, the mode are 13, and 16

true or false? A circle could be circumscribed about the quadrilateral below.

Answers

Answer: the answer is true

Answer:

false

Step-by-step explanation:

here the opposite angle of quadrilateral aren't supplematary the circle have no chance to be circumscribed

Marcella incarica Dora di aiutarla a suddividere 35 perle tra le sue tre figlie. Alla figlia maggiore vuole regalare la metà, alla mediana la terza parte e alla minore la nona parte. Inoltre Marcella vuole dare una perla a Dora come ricompensa. Quante perle riceverà ciascuna figlia?

Answers

Answer:

La hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.

Step-by-step explanation:

Dado que Marcella le pide a Dora que la ayude a dividir 35 perlas entre sus tres hijas, y quiere darle la mitad a la hija mayor, la tercera parte a la del medio y la novena a la menor y, además, Marcella quiere darle una perla a Dora como recompensa, para determinar cuántas perlas recibirá cada hija se debe realizar el siguiente cálculo:

35 / 2 = Mayor = 17.5 perlas

35 / 3 = Medio = 11.66 perlas

35 / 9 = Menor = 3.88 perlas

Así, la hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.


Drag each expression to the correct category.
Apply the produc rules to determine the sign of each expression.

Answers

[tex]( - \frac{4}{9} )( \frac{7}{4} ) = \: \: negative [/tex]

[tex]( - 2 \frac{3}{4} )( - 1 \frac{1}{5} ) = \: \: positive[/tex]

[tex](3)( - 3)( - 3)( - 3)( - 3) = \: \: positive[/tex]

[tex]( - \frac{1}{6} )( - 2)( - \frac{3}{5} )( - 9) = \: \: positive[/tex]

[tex]( - \frac{4}{7} )( - \frac{3}{5} )( - 9) = \: \: negative[/tex]

[tex]( - \frac{10}{7} )( \frac{8}{3} ) = \: \: negative[/tex]

Solve |x - 5| = 7 ......

Answers

Answer:

12,-2

Step-by-step explanation:


Help plz need it bad

Answers

Option B

Yes, because every value of x corresponds to exactly one y-value .

The awnser to the question you are looking at here is going to be the letter A because of this it’s gonna be wrong

The price of a pair of trainers was £85 The price was reduced to £47 Work out the percentage change in price.

Answers

Answer:

The trainers are 44.71% off the original price i think.

Step-by-step explanation:

Find sin A, round to the nearest hundredth.

Answers

Answer:

.92

Step-by-step explanation:

sin A = opp side/ hypotenuse

       

We can use the Pythagorean theorem to find the hypotenuse

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

3^2 +7^2 = AC ^2

9+49 = AC ^2

58 = AC^2

Taking the square root

sqrt(58) = hypotenuse

sin A = 7/sqrt(58)

sin A =.91914503

sin A = .92

Please help I suck at dividing Fractions (Will give brainliest)

Answers

Answer:

The final result is 7/10

the "divisions" (divisor) is 1/10

thus the answer is 7/10 ÷ 1/10

the actual operation ....

"to divide fractions we INVERT and Multiply"

7/10 * 10/1 = 70/10 = 7

there are 7 arrows going to the right

Step-by-step explanation:

helppppppppppppppppppppp plzzzzz

Answers

Answer:

B. 16/3

Step-by-step explanation:

f(2) = 1/3 · 4²

f(2) = 1/3 · 16

f(2) = 16/3

Intercept Form
Point (-3,4)
Slope 5
m= b=

Answers

Answer:

y = 5x + 19

Step-by-step explanation:

y = 5x + b

4 = 5(-3) + b

4 = -15 + b

19 = b

In an extensive study involving thousands of British children, Arden and Plomin (2006) found significantly higher variance in the intelligence scores for males than for females. Following are hypothetical data, similar to the results obtained in the study. Note that the scores are not regular IQ scores but have been standardized so that the entire sample has a mean of M 5 10 and a standard deviation of s 5 2. a. Calculate the mean and the standard deviation for the sample of n 5 8 females and for the sample of n 5 8 males. b. Based on the means and the standard deviations, describe the differences in intelligence scores for males and females.

Answers

Answer:

mean value of female = 10.000

standard deviation of female = 1.604

mean value of male = 10.000

standard deviation of male = 2.449

Step-by-step explanation:

Given:

n=8 females

n=8 males

The objective is to find the mean and deviation and also based on the mean and the standard deviation have to describe the differences in intelligence scores for males and females

Solution:

The mean and the standard deviation are found by using MINITAB

The MINITAB procedure is explained as follows,

Step 1

choosing start > Basic statistics > Display Descriptive Statistics

Step 2

In variables supposed to enter the columns Female and Male

Step 3

Here choosing option statistics and select Mean and standard deviation

Step 4

Finally clicking OK

MINITAB output is as follows,

variable Mean standard deviation

Female 10.000 1.604

Male 10.000 2.449

b)

From the MINITAB output the mean are same for females and males.

Here the standard deviation of females is less than the standard deviation of males. That is the male scores are more variable when compared to female scores.

A chocolate factory uses 16 of a bag of cocoa butter in each packet of chocolate. The factory used 13 of a bag of cocoa butter today. How many packets of chocolates did the factory make?

Answers

Answer:

13/16 of a packet

Step-by-step explanation:

Solve using ratios:

1 packet ⇒ 16 bagsx packets ⇒ 13 bags

Find x:

x*16 = 1*13x = 13/16

Which statement is an example of the symmetric property of congruence

Answers

9514 1404 393

Answer:

  B.

Step-by-step explanation:

The symmetric properties of equality and congruence let you swap sides of the equality/congruence symbol without changing the truth of the statement:

  A ≅ B   ⇔   B ≅ A

Which overlapping triangles are congruent by ASA?
B.
3
Select one:
O a.
AABE , ADEA
O b. AADC AEDA
O c.
AABE & ACDA
O d.
AADC AEBC
ya

Answers

Answer:

D. ADC EBC

Step-by-step explanation:

cb & cd have that little line showing they're the same

is it D yes it is ….

Someone please help me with this math problem?

Answers

9514 1404 393

Answer:

distributive propertycombine like termssubtraction (or addition) property of equalityaddition property of equalitydivision property of equality

Step-by-step explanation:

1. The parentheses are gone and the factor outside parentheses has multiplied each term inside parentheses. The distributive property says you can do that.

__

2. 12+2 has been replaced by 14, and 2-20 has been replaced by -18. This is the result when you combine like terms.

__

3. 3x has disappeared from the left side, and the x-term on the right has been reduced by 3x from 5x to 2x. This is the result of subtracting 3x from both sides of the equation. The subtraction property of equality says you can do that. (Note that subtracting 3x is the same as adding -3x.)

__

4. -18 has disappeared from the right side, and the constant on the left has been increased by 18 from 14 to 32. This is the result of adding 18 to both sides of the equation. The addition property of equality says you can do that.

__

5. Both sides of the equation are 1/2 of what they previously were. This is the result of dividing both sides of the equation by 2. The division property of equality says you can do that (provided the divisor is not zero.)

Find the value of x.
16.2
0.03
38.5
34.8

Answers

Hi there!

[tex]\large\boxed{x = 38.5}}[/tex]

To solve, we can use right triangle trig.

We are given the value of ∠A, and side "x" is its adjacent side. We are also given its opposite side, so:

tan (A) = O / A

tan (33) = 25 / x

Solve:

x · tan(33) = 25

x = 38.49 ≈ 38.5

Describe what a vaccine is made of and how it helps prevent infection.

Answers

Answer:

Vaccines are made of mixtures that contain either parts of pathogens or whole pathogens that prepare the body's defenses to fight against the pathogens.

hope it helps.

stay safe healthy and happy...

Answer:Vaccines are made of mixtures that contain either parts of pathogens or whole pathogens that prepare the body's defenses to fight against the pathogens.

Step-by-step explanation:

Use the factors of the numbers to explain why
45 x 56 = 5 x 7 x 8 x 9

Answers

Answer:

45 x 56=

2520 and

5 x 7=35*8=280*9=2520

2520=2520

Hope This Helps!!!

Find the value of sin H rounded to the nearest hundredth, if necessary

Answers

Answer:

7/25 or .28

Step-by-step explanation:

sin=opp/hyp

7/25

find the x-intercept and y-intercept from the following linear equation: -7x+4y=56

Answers

Answer:

x-intercept = (-8,0)                         y-intercept = (0,14)

Step-by-step explanation:

-7x + 4y = 56

4y = 7x + 56

y = 7/4x + 14

y-intercept = 14

0 = 7/4x + 14

-7/4x = 14

x = -8

I you borrow 500 for 4 years at an annual interest rate of 6% HOW MUCH WILL YOU PAY altogether ​

Answers

Answer:

620

amount= p+i , to find interest .I=500*4*6/100 =120 amount=500+120=620

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